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Answers

Answer 1

Answer:

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Related Questions

The angle θ lies in Quadrant III . cosθ=−1/6 What is tanθ ?

Answers

With θ in quadrant III, we expect to have both cosθ and sinθ negative. Then from the Pythagorean identity, we get

[tex]\cos^2\theta+\sin^2\theta=1\implies\sin\theta=-\sqrt{1-\cos^2\theta}=-\dfrac{\sqrt{35}}6[/tex]

Then from the definition of tangent, that is

tanθ = sinθ / cosθ

we get

[tex]\tan\theta=\dfrac{-\frac{\sqrt{35}}6}{-\frac16}=\boxed{\sqrt{35}}[/tex]

The value of [tex]\tan \theta[/tex] is required.

The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]

[tex]\cos \theta=-\dfrac{1}{6}[/tex]

We have the identity

[tex]\tan \theta=\dfrac{\sqrt{1-\cos^2\theta}}{\cos \theta}\\\Rightarrow \tan\theta=\dfrac{\sqrt{1-\left(-\dfrac{1}{6}\right)^2}}{-\dfrac{1}{6}}\\\Rightarrow \tan \theta=\dfrac{\sqrt{\dfrac{35}{36}}}{-\dfrac{1}{6}}\\\Rightarrow \tan\theta=\pm\sqrt{35}\times -1\\\Rightarrow \tan\theta=\pm\sqrt{35}[/tex]

The required value in quadrant three is [tex]\tan\theta=\sqrt{35}[/tex]

Learn more:

https://brainly.com/question/11694897

There are 3 white marbles and 7 blue marbles in a bag. Hannah will randomly pick a marble out of the bag. What is the probability of Hannah picking a blue marble?

Question 2 options:

1


3/10


7/10


1/2

Answers

7 blue marbles and 10 total marbles.

Picking blue would be 7 blue/ 10 total = 7/10

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

It is forsure A has to be

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Square roots are 5 and 6

since you cannot simplify 5/6 anymore, that is the answer

The desired percentage of Silicon Dioxide (SiO2) in a certain type of aluminous cement is 5.5. To test whether the true average percentage is 5.5 for a particular production facility, 16 independently obtained samples are analyzed and a sample mean of 5.25 was obtained. Suppose that the percentage of SiO2 in a sample is normally distributed with a sigma of 0.3. Does this indicate conclusively that the true average is smaller than 5.5? Carry the procedure at a 0.01 significance level. Use only the P-Value approach. State H0 and Ha

Answers

Answer:

a)  Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

b) The test statistic

        |t| = |-3.33| = 3.33

c) P - value lies between in these intervals

0.001 < P < 0.005

Step-by-step explanation:

Step( i ):-

Given data the Population mean 'μ' = 5.5

The small sample size 'n' = 16

The sample mean (x⁻) = 5.25

Given the  percentage of SiO2 in a sample is normally distributed with a sigma of 0.3.

Null hypothesis : H₀ : μ = 5.5

 Alternative Hypothesis : H₁ : μ < 5.5

 Level of significance ∝ = 0.01

Step(ii):-

 The test statistic

                              [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

                             [tex]t = \frac{5.25 -5.5}{\frac{0.3}{\sqrt{16} } }[/tex]

On calculation , we get

                            t = -3.33

                           |t| = |-3.33| = 3.33

Step(iii):-

P - value

The degrees of freedom γ = n-1 = 16-1 =15

The calculated value t = 3.33 (check t-table) lies between the 0.001 to 0.005

0.001 < P < 0.005

Condition(i)

P - value < ∝ then reject H₀

Condition(ii)

P - value > ∝ then Accept H₀

we observe that  0.001 < P < 0.005

P- value < 0.01

we rejected  H₀

(or)

The tabulated value  = 2.60 at 0.01 level of significance with '15' degrees of freedom

The calculated value t = 3.33 > 2.60 at 0.01 level of significance with '15' degrees of freedom

The null hypothesis is rejected

Conclusion:-

Accepted Alternative hypothesis H₁

The Claim that the true average is smaller than 5.5

             

If you just comment just to comment I’ll report you ok

- geometry

Answers

Answer:

6644.7 cubic meters

Step-by-step explanation:

[tex]\text {Fomula for volume of a cube: } V=s^3\\s-\text {Side Measure}[/tex]

The side measure is 18.8m.

[tex]V=18.8^3\\V= 18.8*18.8*18.8\\\boxed{V=6644.672}[/tex]

6644.672 ≈ 6644.7

The volume of the cube should be 6644.7 cubic meters.

Brainilest Appreciated.

Manuel had 7.8 grams of pepper. Then he used 0.7 grams of pepper to make some scrambled eggs.how much pepper does Manuel have left

Answers

7.8-0.7 =7.1 .........

Greetings, Brianna!

In this problem, we need to figure out how many grams of pepper Manuel has left after subtracting or taking away 0.7 grams from his original amount of 7.8 grams.

1. First of all, when subtracting decimals, the easiest thing to do is make sure your equations are lined up nicely. For example, if one number has a decimal point but the other doesn't we need to make it so the one that doesn't have a decimal point gets one. We can do this by adding .0, so we don't change the value, but rather make the subtraction process easier. Additionally, having a whole number and a decimal that is less than 1 can be tricky to subtract when lining up, so we could add a zero before the decimal. As you can see, there is no change we could make (similar to my examples), so the numbers are ready to subtract.

2. Because we know Manuel is taking the smaller number from the larger number, we will line it up as so:

7.8

-0.7

3. From there, it's quite simple: we subtract just as if it were a normal (vertical) subtraction problem, from right to left, top to bottom. Pretend the decimals aren't there (refer to text below with the matching asterisk)*.

[tex]8 - 7 = 1[/tex]

[tex]7 - 0 = 7[/tex]

7.8

-0.7

 71

4. Surely that's impossible; getting 71 grams as your answer. Heck, we never started anywhere close to that! But we're not done there!

Now we have to add our decimal point. Because you are subtracting, put it in the same place as the numbers before.  If you prefer just adding it as you go, refer to step #3. Place the decimal in the under the answer bar,  directly underneath the other points. Don't pay much attention to it.

*Important: This is different for other operations, but when it comes to adding and subtracting decimals, the decimal will be in the same place. That's why it is important we line up the numbers exactly!

 7.8

-0.7

 7.1

Therefore, our answer is 7.1 grams. Manuel has 7.1 grams of pepper left.

Please let me know if this helped! Tell me if you have any questions, and if you wouldn't mind, I'd be so grateful if you could rate me.

Y= - x+2 Y=3x-4
Estimate the solution to the system of equations

Answers

Answer:

[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]y=-x+2\\y=3x-4[/tex]

Let's solve one of them for x.

[tex]y=3x-4[/tex]

Add 4

[tex]y+4=3x[/tex]

Divide by 3.

[tex]x=\frac{y+4}{3}[/tex]

Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.

[tex]x=\frac{y+4}{3}[/tex]

[tex]x=\frac{(-x+2)+4}{3}[/tex]

[tex]x=\frac{-x+2+4}{3}[/tex]

[tex]x=\frac{-x+6}{3}[/tex]

Multiply by 3 to get rid of the denominator.

[tex]3x=-x+6[/tex]

add x

[tex]3x+x=6[/tex]

Combine like terms;

[tex]4x=6[/tex]

Divide by 4.

[tex]x=\frac{6}{4}[/tex]

Simplify.

[tex]x=\frac{3}{2}[/tex]

Now that you found the value of x, replace it in any of the equations to find y.

[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]

[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]

Proof:

[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]

[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]

[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]

[tex]\frac{1}{2}=\frac{1}{2}[/tex]

The area of a rectangular swimming pool is 360 square feet. If the length of the pool is 9 feet more than it’s width, find the length of the pool

Answers

Answer:

The length of the pool is [tex]L=24\:ft[/tex].

Step-by-step explanation:

The area of a rectangle is given by [tex]A=L\cdot W[/tex] where L is the length, W is the width.

If the length of the pool is 9 feet more than it’s width, this means that [tex]L=9+W[/tex]

We know that the area of a rectangular swimming pool is 360 [tex]\:ft^2[/tex]. So we simple insert the length ([tex]L=9+W[/tex]), width ( [tex]W[/tex]) and area (360) into the formula and  solve the resulting equation.

[tex]360=\left(9+W\right)W\\\\360=9W+W^2\\\\9W+W^2=360\\\\W^2+9W-360=0[/tex]

[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex][tex]\mathrm{For\:}\quad a=1,\:b=9,\:c=-360:\quad W_{1,\:2}=\frac{-9\pm \sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}\\\\W=\frac{-9+\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= 15[/tex]

[tex]W=\frac{-9-\sqrt{9^2-4\cdot \:1\left(-360\right)}}{2\cdot \:1}= -24[/tex]

A length cannot be negative. So [tex]W=15[/tex] and the length of the pool is [tex]L=9+15=24\:ft[/tex]

Given the graph and the equation y= (x + 3) - 2, which one has the smaller minimum and by how mucha
A
The graph by one unit
B)
The graph by five units
The equation by one unit
D)
The equation by five units

Answers

Answer:

A

Step-by-step explanation:

The circumference of a circle can be found using the formula c=2pie r. which is an equation solve for r?

Answers

Answer:Half of the diameter so d/2 or distance from the midpoint to the circle border

Step-by-step explanation:c=2pie•r^2

If you flip a coin 10 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

5

Step-by-step explanation:

The probability of tails is 1/2, so the expected value is (1/2) (10) = 5.

Answer:

5

Step-by-step explanation:

Probability of land a tail when the coin is tossed once is 1/2 because a coin has two sides and contains one head

Then when it is tossed 10 times, the no of time a tail appears is. 1/2 * 10 =5

Which method would determine the volume of the prism with dimensions 2x2x4 shown below?
2 in
4
There are 8 one-quarter cubes and 16 unit cubes so 8x
00
+16 will give the volume

Answers

+16 will give the volume
2x2=4
4x4=16

This table shows Jill’s math quiz scores. What is the minimum score she needs on her next quiz to have a mean of at least 92?

90
94
88
92

Answers

Answer:

~ Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes ~

Step-by-step explanation:

1. The table shows that her past weeks math quiz scores are: 92, 96, 94, 88

2. If she were to get a mean, or average, of at least 92, we could set up an equation to determine the minimum score she will recieve on her next quiz:

92 + 96 + 94 + 88 + x/ 5 = 92 ⇒ (where x is the minimum score she should recieve on her next quiz to get an average of at least 92%)

3. Now let us solve this equation for x through simple algebra ⇒

92 + 96 + 94 + 88 + x/ 5 =  92 ⇒

370 + x/5 = 92 ⇒

x/5 + 74 = 92 ⇒

x/5 = 18

x = 90

4. Jill needs a minimum score of 90% to recieve an average of at least 92% on all her math quizzes

Answer: She would need a 90

Step-by-step explanation: I did the iready

On Tuesday, the bottles of iced tea filled in a plant were supposed to contain an average of 20 ounces of iced tea. Quality control inspectors sampled 50 bottles at random from the days production. These bottles contained an average of 19.6 ounces of iced tea

Identify the population

Identify the parameter

Identify the sample

Identify the statistic

Answers

Answer:

i) The bottles of iced tea filled in a plant is the Population

ii) The Average of Population μ = 20 is called Parameter

iii) The sample size 'n' = 50

iv) The mean of the sample 'x⁻ = 19.6 ounces

Step-by-step explanation:-

Population:-

The total number of observations which we are concerned , whether this number be finite or infinite is called Population.

In Given data

The bottles of iced tea filled in a plant is the Population

Parameter:-

The statistical constants of the Population namely mean and variance are usually refereed to as Parameters.

The Average of Population μ = 20 is called Parameter

Sample:-

A sample is a subset of population

given data sample size n=50 bottles at random from the days of production

Statistics

The sample mean x⁻ and variance S² is called statistics

Given data

These bottles contained an average of 19.6 ounces of iced tea

x⁻ = 19.6 ounces

A person invested $880 in an account growing at a rate allowing the money to double every 6 years. How much money would be in the account after 13 years, to the nearest dollar?

Answers

Answer:

  $3,951

Step-by-step explanation:

The growth factor for t years is given as 2^(t/6). Then in 13 years, the account will be multiplied by ...

  2^(13/6) ≈ 4.489848

Its value will be ...

  $880·4.489848 ≈ $3,951

Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible? 34 40 5,040 10,000

Answers

Answer:

5040 different combinations

Step-by-step explanation:

0-9 = 10 numbers

1st digit can be 1 0f 10

2nd digit can be 1 of 9

3rd digit can be 1 of 8

4th digit can be 1 of 7

10×9×8×7=5040

Just the 46×23 to the fourth power times 1000

Answers

Answer:1.2872686 x 10^10

Step-by-step explanation:

46 x 23^4 x 1000

46 x 23 x 23 x 23 x 23 x 1000

1.2872686 x 10^10

The distance between the origin and the point representing the real number.

Answers

Answer: I believe the answer you're looking for is absolute value

I hope this helps!!!

x^2 + 1/2x +____ = 2 + ____

Answers

Answer:

  1/16, 1/16

Step-by-step explanation:

Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:

  ((1/2)/2)^2 = (1/4)^2 = 1/16

The number to complete the square is 1/16. It is added to both sides of the equation to give ...

  x^2 +1/2x +1/16 = 2 +1/16

_____

Written as a square, the equation is ...

  (x +1/4)^2 = 33/16

Four different leadership styles used by Big-Six accountants were investigated. As part of a designed study, 15 accountants were randomly selected from each of the four leadership style groups (a total of 60 accountants). Each accountant was asked to rate the degree to which their subordinates performed substandard fieldwork on a 10-point scale—called the "substandard work scale". The objective is to compare the mean substandard work scales of the four leadership styles. The data on substandard work scales for all 60 observations were subjected to an analysis of variance.
Interpret the results of the ANOVA F test shown on the printout for a = 0.05.
a. At a = 05, there is insufficient evidence of differences among the substandard work scale means for the four leadership styles.
b. At a = .05, three is no evidence of differences among the substandard work scale means for the four leadership styles.
c. At a = .05, there is sufficient evidence of difference among at least two of the substandard work scale means for the four leadership styles.
d. None of the above.

Answers

Answer:

c. At a = .05, there is sufficient evidence of difference among at least two of the substandard work scale means for the four leadership styles.

Step-by-step explanation:

From the given output, df(Between)=3

df (Between) =k-1, where, k denotes number of groups. Therefore, k-1=3, k=4.

Thus the null hypothesis is as follows:

H0:mu1=mu2=mu3=mu4 (there is no difference in substandard work scale means for four leadership styles)

H1: At least one mean scale is different from another.

Per rule, reject H0, if p value corresponding to F test statistic is less than given level of significance, alpha=0.05.

Here, F(3, 56)=6.056, p<0.05 (the p value is 0.0012). Therefore, reject H0, and conclude that at least one substandard work scale mean of a leadership is significantly different from a substandard work scale mean of another leadership.

3 1/3 CUPS OF FLOUR IS NEEDED TO MAKE A PAN OF MUFFINS. 2 1/3 CUPS OF FLOUR IS NEEDED FOR A LOAF OF BREAD. HOW MUCH MOE FLOUR IS NEEDED FOR THE PAN OF MUFFINS? DRAW A TAPE DIAGRAM?

Answers

Answer:

1 cup

Step-by-step explanation:

3 1/3 - 2 1/3 = 1 cup

STATS. How can we decide if an event that seems weird is actually unusual or fairly likely?

Answers

Answer:

Try finding the theoretical probability of a sample space before calling the event in the sample space "weird"

Step-by-step explanation:

point c' (_4, _3) is the image of c (_2, _3) under a translation

Answers

Answer:

2 units moved?

Step-by-step explanation:

Emina took out a 5/1 variable-rate mortgage for $120,000. The interest rate
for the first period was fixed at 5.25%, and the loan was amortized over 30
years. At the end of the initial loan period, the interest rate was 6.75%, plus a
1.5% margin. What will the unpaid balance on her mortgage be after her initial
period expires?
O
A. $102,164.09
B. $123,740.97
c. $110,579.39
D. $113,739.09

Answers

Answer:

$110,579.39 this is the right answer.

(8.2×10^2)+(3.41×10^-1)​

Answers

Answer:

820.341

Step-by-step explanation:

(8.2×10^2)+(3.41×10^-1)​=

(8.2×100)+(3.41×0.1)=

820+0.341=

820.341

Answer:820.341

Step-by-step explanation:

(8.2x10^2)+(3.41x10^-1)

(8.2x10x10)+(3.41 x 1/10)

(8.2x100)+(3.41x0.1)

820+0.341=820.341

What is the median of the following numbers?
1, 2, 10, 6, 4, 4, 6, 3, 1,4

Answers

Answer:

4

Step-by-step explanation:

The median is the middle number after ordered into numberical order. If there's two and the numbers are different, you add them and divide the total by 2.

Answer: 4

Step-by-step explanation: The median is the middle number in the data set when the data set is written from least to greatest.

So let's write our data set from least to greatest.

So we have 1, 1, 2, 3, 4, 4, 4, 6, 6, 10.

Now, notice that there are two numbers that appear in the middle.

I have underlined them above.

When two numbers appear in the middle that are the same number (4 and 4), the median will be the same number too.

So the median of the given data set is 4.

i took too many pills counting up the bills
Molly in my cup i can't tell you how it feel​

Answers

Answer:

errday i b countin up countin up da blues  count away sometimes we always lose

Step-by-step explanation:

juice wrld

Answer:

juice wrld

Step-by-step explanation:

guys i really need your help i have this awesome friend who is cool sometimes but she calls me names and pretends to like me bottom line is: is she really my friend


#cryingmyeyesoutrn

Answers

If she calls you name it isn’t very nice and If she pretends to like you than she ain’t a very good friend

Answer:

No. If your being treated like trash and are constantly being called names, talk to your parents or someone, they can help. It's up to you to decide. There are many websites with great advice.

Step-by-step explanation:

The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.


A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.

Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.

Answers

Answer:

Its A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

Answer:

It is A.Medera turned the phone off while playing in a soccer game.

Step-by-step explanation:

got a 100 on the test

At SeptemberFest, the first dance of the year, the Students’ Council charged $3 for couples and $2 for singles. If 365  tickets were sold and the total receipts were $925, how many single tickets were sold? Write you answers as a number only.

Answers

They left with 121$ Bc they was with single ticket
Other Questions
DO THIS SPANISH ASSIGNMENT! Correct Response Gets Brainliest .--. .-.. . .- ... . ..-. ..- -.-. -.- .. -. --. .- -. ... .-- . .-. When a plant does not get enough water its leaves wilt and stomata areclosed to prevent further loss of water through transpiration. This wilting of leaves and closing of stomata is caused by a growth inhibiting hormone. What is the name of this growth inhibiting hormone that causes wilting ofleaves? auxin gibberelins abscisic acid What is so good about being social? How much exercise is recommended for children?A 60 minutes or more of moderate to vigorous exercise every dayB 45-60 minutes of moderate to vigorous exercise every other dayC 10-20 minutes of vigorous exercise every dayD20-30 minutes of moderate to vigorous exercise every day What is the product of the cellular respiration reaction A. Glucose B.carbon dioxide C.blood D. Cells What is the break-down of these words for medical terminology.acromioclavicularexophthalmosonychocryptosissomnambulismWrite the word. Identify (write out), classify (prefix, root and/or combining form(s), suffix), and define the word parts. Define the word.NOTE: The definition of the word is not always the same as simply combining the definitions of the word parts. In this case, the root cellul means small cell, but the definition does not include the word small. Always look up the definition to verify that it is correct.Samples:Word: intracellularWord part: -ar is a suffix (S) that means pertaining toWord part: intra- is a prefix (P) that means withinWord part: cellul is a root (R) that means small cellDefinition of intracellular: (pertaining to) within a cell Which of the following statements shows a bias?Soccer players spend a great deal of time running and kicking.Soccer is a popular sport around the world.Soccer is not as tough or challenging as football, but it does require some amount of strength.The FIFA World Cup of Soccer is awarded once every four years. Which sequence of transformations produces an image that is not congruent to the original figure? A. A reflection across the x axis followed by a rotation of 180 counterclockwise B. A translation of 6 units to the left followed by a reflection across the x-axisC. A rotation of 90 clockwise followed by a translation of 4 units to the left D. A translation of 4 units to the left followed by a dilation of a factor of 3 Option A has an expected value of $2,000, a minimum payoff of -$4,000, and a maximum payoff of $18,000. Option B has an expected value of $2,200, a minimum payoff of -$1,000, and a maximum payoff of $6,000. Option C has an expected value of $1,900, a minimum payoff of $100, and a maximum payoff of $2,000. In this situation, a risk-averse decision maker would pay __________ for his risk aversion, and a risk-seeking decision maker would pay __________ for his risk seeking. Which of the following statements about plant reproduction is TRUE? a. Plants only reproduce sexually.b. Reproduction in plants usually requires windy environments.c. Flower shape, color, and odor can attract animals needed for plant reproduction.d. Reproduction in most plants requires honeybees to carry pollen from one plant to another. A culture started with 2,000 bacteria. After 2hours, it grew to 2,200 bacteria. Predict howmany bacteria will be present after 19 hours.Round your answer to the nearest wholenumber.und to fourP = AektEnter the correct answerDONEO? PLEASE PLEASE HELP:: The scoop of an excavator holds 26 ft3 of sand. If the capacity of a freight car is 39 tons of sand and we know that 1 ft3 of sand weighs 0.5 tons, how many freight cars can be filled with 120 loads? ameEx 4 (DOK 2): Equivalent equations have exactly the samesolution set. Select Yes or No to indicate whether eachequation is equivalent to the given equation.Given: 47x + 2 = -8YesNoEquationvx + 2 = -2x + 2 = 4x = 2 The cord of a bow string drill was used fora. holding the cutting tool.b. providing power for rotation.c. transportation of the drill.d. finding the center of the hole. There were two military substitution policies. What were they? Is HIV and aids the same disease? *need answer What is the area of the triangle (I need this today pls help) Using the graphing function on your calculator, find the solution to the systemof equations shown below.2y - 4x = 6y-2x = 7A. No solutionB. More than 1 solutionC. x = 4, y = -2D. x= -1, y = 1 can i use kamar varnish to prime my outdoor table Derek is playing a prank on Grace and hid her pencil inside a tissue box that has a width of 4 inches, a length of 8 inches, and a height of 4 inches. The pencil fits perfectly from the upper left corner to the bottom right corner of the box. What is the length of Graces pencil to the nearest tenth of an inch?