Answer:
ayy sensya na po Yan din po hanap Kong answer
Find the missing length indicated
x = 65
Step-by-step explanation:
cos theta = 25/x
cos theta = x/169
25/x = x/169
x² = 169 x 25
x = 65
The missing length x = 65, using the Pythagoras Theorem.
What is the Pythagoras Theorem?
According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
How to solve the question?In the question, we are asked to find the value of x.
In the right triangle ABC, by Pythagoras' Theorem,
AC² + BC² = AB²,
or, x² + BC² = (144 + 25)²,
or, BC² = 169² - x² ... (i).
In the right triangle ACD, by Pythagoras Theorem,
AD² + DC² = AC²,
or, 25² + DC² = x²,
or, DC² = x² - 25² ... (ii).
In the right triangle BCD, by Pythagoras Theorem,
BD² + DC² = BC²,
or, 144² + x² - 25² = 169² - x² {Substituting BC² = 169² - x² from (i) and DC² = x² - 25² from (ii)},
or, x² + x² = 169² + 25² - 144² {Rearranging},
or, 2x² = 28561 + 625 - 20736,
or, 2x² = 8450,
or, x² = 4225,
or, x = √4225 = 65.
Thus, the missing length x = 65, using the Pythagoras Theorem.
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Lance is selling T-shirts for $10 each and hats for $12.50 each. He wants to earn at least $400 per week to cover his expenses. Which graph best represents the number of T-shirts and hats Lance should sell to meet his goal?
Answer:
Step-by-step explanation:
Need help finding the factor of 2y^2-2y-4
Answer:
hope it helps you............
Answer:
2(y - 2)(y + 1)
Step-by-step explanation:
Given
2y² - 2y - 4 ← factor out 2 from each term
= 2(y² - y - 2) ← factor the quadratic
Consider the factors of the constant term (- 2) which sum to give the coefficient of the y- term (- 1)
The factors are - 2 and + 1, since
- 2 × 1 = - 2 and - 2 + 1 = - 1 , then
y² - y - 2 = (y - 2)(y + 1)
Then
2y² - 2y - 4 = 2(y - 2)(y + 1) ← in factored form
HELP HELP HELP
Solve this
Answer:
What is the cos theta for, i would use sin to solve for theta and then we would get 41.25 degrees.
Step-by-step explanation:
HELP ME PLEASE IF YOU DO YOU WILL GET BRAINLESS AND PLEASE EXPLAIN THE BEST YOU CAN
Answer:
<3=75°
Step-by-step explanation:
Angle 3 and angle 2x+95 are supplementary( supplementary angles add up to 180°)
So <3+2x+95=180
<3+2x=180-95
<3+2x=85( let's call this equation 1)
Next, angle 5 and angle 8x+71 are opposite angles (opposite angles are equal) therefore <5=8x+71
Now, <3 and <5 are co-interior angles(co-interior angles are supplementary)
So <3+8x+71=180
<3+8x=180-71=109
Thus, <3+8x=109(let's call this equation 2)
Now solving equation 1 and 2 simultaneously:
Make <3 the subject of equation 1
<3=85-2x
Put <3=85-2x into equation 2
85-2x+8x=109
6x=24
x=24/6=4
Now, remember that angle 2x+95 becomes
2(4)+95
8+95=103°
Therefore<3=180-105=75°
Which descriptions from the list below accurately describe the relationship between ∆ABC and ∆DEF? Check all that apply.
A. Same area B. Same size C. Congruent D. None of the above
Answer:
D. None of the above
Step-by-step explanation:
The two right triangles have different sizes. Therefore, their areas cannot be the same as well.
Congruent triangles have the same three angles that are congruent to each other and three side lengths that are congruent or equal to each other. The two triangles only have equal angles bit different corresponding side lengths. Therefore, they cannot be congruent.
The correct answer is "None of the above".
Answer:
PROPORTIANAL SIDE LENGTHS
Step-by-step explanation:
I JUST TOOK THE TEST
Find the area of the following shape:
Answer:
36cm^2
Step-by-step explanation:
total area: 6x(4+3)=42
total area excluding the space: 42-(2x3)=36
Answer:
36 cm squared
Step-by-step explanation:
To solve this problem, I first construct a line. (shown in yellow in the first photo)
I then find the area of the top rectangle. (6 cm * 4 cm = 24 cm squared.)
Next, I find the area of the lower rectangle. But...to do that I have to find the length of the line that I constructed. To do this, I do 6cm-2cm=4cm.
Then I can find the area of the lower rectangle. (4cm*3cm=12cm squared.)
add up the area of both of the rectangles and.........12+24=36 cm squared
Six consecutive numbers add up to a total of 69.what is the highest of these numbers?
Answer:
14
Step-by-step explanation:
9+10+11+12+13+14=69
The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]
Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]
Taking the sum :
[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]
[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]
Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]
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Ibrahim heeft een bijbaantje op de markt. Hij berekent zijn inkomsten met de formule
inkomsten in €=5+3,50 x tijd in uren. Leg de formule uit.
Answer:
Ibrahim gets 5 fixed and 3.5 per hour.
Step-by-step explanation:
Ibrahim has a side job at the market. He calculates his income with the formula income in € = 5 + 3.50 x, time in hours. Explain the formula.
Here, the fixed income is 5.
the income per hour is 3.5.
So, Ibrahim gets 5 fixed and 3.5 per hour.
21(2-y)+12y=44 find y
Answer:
[tex]\textbf{HELLO!!}[/tex]
[tex]21\left(2-y\right)+12y=44[/tex]
[tex]42-21y+12y=44[/tex]
[tex]~add ~similar\:elements[/tex]
[tex]42-9y=44[/tex]
[tex]Subtract~42~from~both~sides[/tex]
[tex]42-9y-42=44-42[/tex]
[tex]-9y=2[/tex]
[tex]Divide\:both\:sides\:by\:}-9[/tex]
[tex]\frac{-9y}{-9}=\frac{2}{-9}[/tex]
[tex]y=-\frac{2}{9}[/tex]
----------------------
hope it helps...
have a great day!
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Question 12
Mr Espent 65% of his salary on household expenses, and 15% of the remainder on travelling expenses and was finally left with R9 500. How much was his salary?
Answer:
rs.1680.67
Step-by-step explanation:
His salary = x
remaining % = 100 - 65 = 35%
= 100 - 15 = 85%
x × 35/100 × 85/100 = 500
x = 1680.67
Complete the table of ordered pairs for the linear y=2x-8
Given:
Consider the below figure attached with this question.
The linear equation is:
[tex]y=2x-8[/tex]
To find:
The values to complete the table of ordered pairs for the given linear equation.
Solution:
We have,
[tex]y=2x-8[/tex]
Substituting [tex]x=0[/tex] in the given equation, we get
[tex]y=2(0)-8[/tex]
[tex]y=0-8[/tex]
[tex]y=-8[/tex]
So, the value for first blank is -8.
Substituting [tex]y=-2[/tex] in the given equation, we get
[tex]-2=2x-8[/tex]
[tex]-2+8=2x[/tex]
[tex]\dfrac{6}{2}=x[/tex]
[tex]3=x[/tex]
So, the value for second blank is 3.
Substituting [tex]x=2[/tex] in the given equation, we get
[tex]y=2(2)-8[/tex]
[tex]y=4-8[/tex]
[tex]y=-4[/tex]
So, the value for third blank is -4.
Therefore, the required complete table is:
x y
0 -8
3 -2
2 -4
A road has a scale of 1:50 000 The length of a road on the map is 8.5cm.Work out the length of the real road in kilometres
Answer:
ok so
8.5*150000
1275000 cm into kilometers is
12.75 kilometers
Hope This Helps!!!
how would I classify a triangle which has a angle of 49 and 82, acute, right, or obtuse?
9514 1404 393
Answer:
acute
Step-by-step explanation:
The third angle is ...
180° -49° -82° = 49°
So, the triangle has two angles the same, 49°. When two angle are the same, the triangle is an isosceles triangle.
The largest angle, 82°, is less than 90°, so is an acute angle. The classification acute, right, or obtuse is based on the measure of the largest angle.
The triangle is an acute isosceles triangle.
Rectangle ABCD translates 4 units down and 2 units to the right to form rectangle A'B'C'D'. The vertices of rectangle ABCD are labeled in alphabetical order going clockwise around the figure. If AB = 3 units and AD = 5 units, what is the length of B'C'?
Answer:
The length of BC is 14 units.Step-by-step explanation:
[tex]hope \: \: it \: \: helps} \beta \alpha \infty [/tex]
The length of B'C' is 0 units.
What is translation?It is the movement of the shape in left, right, up, and down direction.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
The length of AD = 5 units.
Since the rectangle translates down by 4 units,
The length of A'D' =5 units.
The width of the original rectangle is AB, which is 3 units.
Since the rectangle translates to the right by 2 units,
The width of the new rectangle = 3 units.
Now,
The length of B'C' is the same as the length of AD', which is 5 units.
Subtracting 5 units from 5 units gives us a length of 0 units.
Thus,
The length of B'C' is 0 units.
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Which rules of exponents will be used to evallate this expression? Select three options.
What is the reciprocal of tanB in the triangle below?
Right triangle A B C is shown. C is the right angle and side A B is the hypotenuse.
tanC
tanA
tan-1C
tan-1A
Answer:
Tan A
Step-by-step explanation:
Tan B = opposite / Adjacent = AC / BC
Reciprocal of Tan B = 1 ÷ Tan B
1 ÷ Tan B = 1 ÷ AC/BC = 1 * BC / AC = BC / AC
Reciprocal of Tan B = BC / AC
the reciprocal of tan B is equivalent to :
Tan A = opposite / Adjacent = BC / AC
Hence, the reciprocal of Tan B is Tan A
Answer:
Note: Images are not in order. Check page number on pictures to make sure you have the right Answer.
Have a Good Day! God bless!
Step-by-step explanation:
Question 6 “A”
Question 7 “D”
Question 8 “B”
Question 9 “B”
Question 10 “A”
Note: Answers From 1 to 5 in order here:
Question 1 “ B”
Question 2 “A”
Question 3 “B”
Question 4 “D”
Question 5 “D”
Kin travels 440 miles by train at an average speed of 110 mph.
Ayaan flies the same distance at an average speed of 880 mph.
Find the difference between their travel times.
Give your answer in hours.
Answer:
3 1/2 hours
Step-by-step explanation:
time = distance/speed
440/110 = 4 hours
440/880 = 1/2 hours
4 minus 1/2 is 3 1/2
Answer:
hi
Step-by-step explanation:
i just need some points sorry not sorry
A group of 3 boys is sharing 4 small pans of rice krispie treats. What is the total amount of rice krispie treats each boy will get?
Answer:
each boy will get 1.33333333333 of a pan
Step-by-step explanation:
Answer:
Each boy in that group would get about 1 and 1 third of a pan of treats or 1.33 repeating
Step-by-step explanation:
To find this you would take the numbers of pans (4) and divide it by the number of boys (3).
4 / 3 = 1.33333
Which diagram represents the hypothesis of the converse of corresponding angles theorem?
Answer:
the first diagram
Step-by-step explanation:
first one
Suppose that from a group of 9 men, 1 will be randomly chosen for a dangerous assignment, and suppose that the chosen man will be killed during the assignment with a probability of 1/6. If Mark is one of the 9 men, what is the probability that he will be chosen for the assignment and killed during the assignment
Answer:
1/54
Step-by-step explanation:
1/9 x 1/6
to train for a race, you plan to run 1 mile the first week and double the number of miles each week for five weeks. How many miles will you run for the 5th week. math problem
Answer:
16 Miles
Step-by-step explanation:
For every week you simply multiply the number of miles from the previous week by 2, therefore
Week 1: 1
Week 2: 2
Week 3: 4
Week 4: 8
Week 5: 16
In mixture A of candy ingredients there are 3 parts of milk-chocolate for every Z parts peanut separate mixture B. there are 4 parts of nougat for every 3 parts of caramel equat parts of A and combined in one mixing bow what is the ratio of peanut butter to nougat in the bowl
Answer:
D. 7:10
Step-by-step explanation:
The Correct Answer
Help me with this answer I don’t it
Answer:
f(-2) = g(-2) this is the answer
Plsssss ans I am suffering
Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?
Answer:
67 mph
Step-by-step explanation:
201/3 = 67
What is the value of angle v?
Answer:
x = 5
Step-by-step explanation:
a) The third interior angle of this triangle is 180 - 20 x.
The three interior angles must sum up to 180 degrees.
Therefore, 60 + 7x + 5 + 180 - 20x = 180, or
65 + 180 - 13x = 180, or
65 - 13x = 0
Finally, 13x = 65, and so x = 5
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
\text{7 is added to a number.}
7 is added to a number.
Answer:
7+x
Step-by-step explanation:
X will be the unknown
Let r be the binomial random variable corresponding to the number of people that will live beyond their 90th birthday,
r ≥ 15.
We want to find
P(r ≥ 15)
using the normal approximation given 625 trials and a probability of a 4.4% success on a single trial.
Answer:
P(r ≥ 15) = 0.9943.
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
625 trials and a probability of a 4.4% success on a single trial.
This means that [tex]n = 625, p = 0.044[/tex]
Mean and standard deviation:
[tex]mu = E(X) = np = 625*0.044 = 27.5[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{625*0.044*0.956} = 5.13[/tex]
P(r ≥ 15)
Using continuity correction, this is [tex]P(r \geq 15 - 0.5) = P(r \geq 14.5)[/tex], which is 1 subtracted by the p-value of Z when X = 14.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14.5 - 27.5}{5.13}[/tex]
[tex]Z = -2.53[/tex]
[tex]Z = -2.53[/tex] has a p-value of 0.0057
1 - 0.0057 = 0.9943
So
P(r ≥ 15) = 0.9943.
0.7(1.5 + y) = 3.5y - 1.47
Answer:
y = 0.9
Step-by-step explanation:
1.05 + 0.7y = 3.5y - 1.47
-3.5y + 0.7y = -1.47 - 1.05
-2.8y = -2.52
y = 9/10 = 0.9
Answer:
[tex]\textbf{HELLO!!}[/tex]
[tex]0.7\left(1.5+y\right)=3.5y-1.47[/tex]
[tex]1.05+0.7y=3.5y-1.47 \gets \textsl{Expand}[/tex]
[tex]1.05+0.7y-1.05=3.5y-1.47-1.05 \gets Subtract\; 1.05 \from\:both\:sides[/tex]
[tex]0.7y=3.5y-2.52[/tex]
[tex]0.7y-3.5y=3.5y-2.52-3.5y[/tex]
[tex]\mathrm{Subtract\:}3.5y\mathrm{\:from\:both\:sides} \nwarrow[/tex]
[tex]-2.8y=-2.52[/tex]
[tex]\frac{-2.8y}{-2.8}=\frac{-2.52}{-2.8} \hookleftarrow \mathrm{Divide\:both\:sides\:by\:}-2.8[/tex]
[tex]\boxed{\boxed{\underline{\textsf{\textbf{y=0.9}}}}}[/tex]
[tex]\bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet \bullet[/tex]
[tex]\textbf{HOPE IT HELPS}[/tex]
[tex]\textbf{HAVE A GREAT DAY!!}[/tex]
