Solve for x in the triangle. Round your answer to the nearest tenth.

Solve For X In The Triangle. Round Your Answer To The Nearest Tenth.

Answers

Answer 1

Answer:

x = 6.2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 32 = x/ 10

10 tan 32 = x

x=6.24869

Rounding to the nearest tenth

x = 6.2

Answer 2

Answer:

x=6.2 (Rounded to the nearest tenth)

Step-by-step explanation:

This problem gives you an angle(32°), and ask for the dimension of the opposite side to that angle(x), along with another dimension the adjacent side(10).

Since you have the opposite and adjacent sides, you can use tangent. opposite (x) over adjacent (10). Tan(32) =[tex]\frac{x}{10}[/tex]. You want (x) so multiply tan(32) by 10. Then round to the nearest tenth.

Remember to put calculator in degree mode!

tan (32) = 0.6248693519 multiply by ten 6.248693519. Round to nearest 10th 6.2.

Hope this helps!


Related Questions

14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.

Answers

It’s the restrictions if 2*5 is the answer you would have to simplify.

Type the equation used and answer for credit:
1) You bought a car that was $25500 and the value depreciates by 4.5% each year.
The general Population equation is modeled by: V(x) =
***
a. How much would the car be worth after 5 years?
the Evaluated equation I used to get the following answer is
and
the answer after 5 years the car is worth
dollars.
b. How much would the car be worth after 8 years?
the Evaluated equation I used to get the following answer is
and
After eight years the car is worth
dollars.

Answers

Answer: According to such dissemination, the commission of the vehicle by the fifth (i) and eighth (ii) year are identified as i. $19,762.50 and ii. $16,320.00.

Step-by-Step Explanation:
The depreciate standard deviation is invariant as it does not vary, albeit, given the configurations of the interrogate, fabricating the product of the depreciate and the annuals elapsed is necessary to evaluate for the estimated cost of the vehicle within subsequent years.

5th Year:
4.5(5) = 22.5%
25,500 - 22.5% = $19,762.50 USD.

8th year:
4.5(8) = 36%
25,500 - 36% = $16,320.00 USD.

Thus far, such proposed retorts are in the accordance of the depreciate and the commission per vehicle.

*I hope this helps.

asap please help! and explain how you got the answer!

Answers

55

To start to solve this problem we start by observing what information there is. We need y, to find y we have to know x. We need x to find y because all the angles in a triangle add up to 180. If we find x we can subtract the angles we know and get y. To find x we look and see that it is on a straight line, and on the other side of the line is 100. We know that a straight line is 180 degrees so we subtract 100 from 180 to get x. We now know x is 80, so now we minus 89 and 45 from 180. We get 55. This means that y is 55.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

rút gọn √(6-3(√(2+√3)-√(2+√(2+√3)

Answers

Answer:

10

Step-by-step explanation:

not sure please verify

Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?​

Answers

2 x 0.75 x 25 = 37.5 cm
2 x 75 x 2.5 = 375

375/37.5 = 10
10 paquetes

Find the value or JM in the image below

Answers

MK is the perpendicular bisector ò JL so MJL will be isosceles triangle, then JM = ML = 15, i guess

HELP I WILL GIVE BRAINLIEST

Answers

Answer:

A.) 6.4 units

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of AB.

If we find the horizontal and vertical distance of A and B, we form a triangle, with leg lengths of 5 and 4.

Now, we just solve using the Pythagorean theorem.

5^2 = 25

4^2 = 16

25 + 16 = 41

sqrt 41 ≈ 6.4 units.

Hope this helps!

If there is something wrong, just let me know.

Find the surface area of the composite figure. Round to the nearest square centimeter

Answers

Answer:

Surface area = 726 cm²

None of the options is correct.

Step-by-step explanation:

Surface area of the composite figure = surface area of cone + surface area of cylinder - 2(area of base of cone)

✔️Surface area of cone = πr(r + l)

Where,

Radius (r) = 5 cm

Slant height (l) = √(10² + 5²) (Pythagorean theorem)

Slant height (l) = 11.2 cm

Plug in the values

= π*5(5 + 11.2)

= 254.5 cm²

✔️Surface area of the cylinder = 2πr(h + r)

r = 5 cm

h = 15 cm

Plug in the values into the formula

S.A = 2*π*5(15 + 5)

S.A = 628.3 cm²

✔️area of base of cone = πr²

r = 5 cm

Area = π*5² = 78.5 cm²

✅Surface area of the composite figure = 254.5 + 628.3 - 2(78.5)

= 882.8 - 157

= 726 cm² (nearest square meter)

None of the options is correct.

Which equation is equivalent to the given equation?
- 4(x – 5) + 8x = 9x – 3

Answers

Hi!

-4(x - 5) + 8x = 9x - 3

-4x + 20 + 8x = 9x - 3

-4x + 8x - 9x = -3 - 20

-5x = -23

Answer: B

Answer:

B

Step-by-step explanation:

-4x +20 +8x = 9x -3. That's equall to 4x+20=9x-3. subtract 9x both sides, -5x+20=-3. subtract 20 both sides, -5x=-23.



A house has increased in value by 28% since it was purchased. If the current value is $288,000, what was the value when it
was purchased?

Answers

Answer:

$368,640

Step-by-step explanation:

288,000 * .28 = 80640

288,000 + 80640 = 368640

Diego's family truck holds 21 gallons of fuel. Each day the car uses 1.5 gallons of fuel. A warning light comes on when the remaining fuel is 2.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 10 days without the warning light coming on? Explain or show your reasoning. Starting from a full tank, can Diego's family drive the car for 15 days without the warning light coming on? Explain or show your reasoning. Diego says the expression 21 - 1.5t helps him understand this situation. In this situation, what does this expression represent, and what does the variable t stand for? Write and solve an equation to determine the number of days Diego's father can drive the car without the warning light coming on. Write and solve an inequality that represents the number of days driven without the warning light coming on. Explain clearly what the solution to the inequality means in the context of this situation

Answers

Answer:

The inequality is 0.6x < 12.5

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Step-by-step explanation:

14 gallons-1.5 gallons=12.5 gallons    

we know that  

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on    

so  

Let  

x ----> the number of days

0.6x < 12.5 inequality that represent the situation  

Solve for x

x < 12.5/0.6

x < 20.8 days

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

What is the answer to this ?


Answers

Answer:

Not enough information

one side should be given.

-------------------------

hope it helps...

have a great day!!

Please help, I will give brainliest if you explain.

Answers

Answer:

A.

Step-by-step explanation:

Basically.. when you draw a line from the vertex of a right triangle's 90 degree angle to its hypotenuse, it'll make two triangles with the same angles. Then you can use ratios to discern the size of said rectangles. I hope that helps.

Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15

Answers

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

To know more about expression follow

brainly.com/question/723406

#SPJ2

Plsss help... question from gradients. Will give brainliest

Answers

Answer:

uwuwhwhwnwjwjwiwieiwiwjwjjejeejjwje

Step-by-step explanation:

euwwuwjw

The dimensions of a garden are 300' by 200'. If a model garden with the
scale of 10' = 1" is to be made, find the dimensions of the model.
A.) 3" by 1"
B.) 30" by 20"
C.) 45" by 10"
D.) 60" by 20"

Answers

Answer:

B

Step-by-step explanation:

We know that 10'  = 1". We want to find a x and y for 300' = x" and 200' = y". We can do this by figuring out ratios between similar values. For the numbers ending in ', we can say that 300/10 = 30 and 200/10 = 20. Therefore, to get x and y, we can multiply

10' = 1" by 30 on both sides to get

300' = 30"

and multiply by 20 on both sides to get

200' = 20"

Therefore, we can say that 300' by 200' = 30" by 20"

as part of a weight loss plan, Levi's average calories consumed per day, denoted by c, subject to a maximum of 15 calories, is measured to calculate the amount of weight he will lose. if he is losing weight consistently, what is the domain of the function

Answers

Answer:

The domain is;

0 < c ≤ 15

Step-by-step explanation:

We are told that Levi's average calories consumed per day is denoted by c.

Now, we are told it is subject to a maximum of 15 calories.

Thus; c ≤ 15

Now,if he is losing weight consistently, then c must be greater than 0.

Thus,the domain is;

0 < c ≤ 15

Least common factor how to do in 121,99​

Answers

Answer:

Step-by-step explanation:

Prime factorize 121 and 99

121 = 11 * 11

99 = 11 * 3 * 3

Common factor = 11

Least common factor is 11

The functions f and g are defined as follows. ​

Answers

Answer:

f(4) = -14

g(-2) = 22

Step-by-step explanation:

f(x) = -4x+2

Let x = 4

f(4) = -4*4 +2

    = -16+2

   = -14

g(x) = -3x^3 -2

Let x = -2

g(-2)= -3(-2)^3-2

         = -3(-8)-2

        = 24-2

     =22

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Here,

f(x)=-4x+2

we have to find the value of f(4)

[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]

g(x)=[tex]{-3x^3-2 }[/tex]

we have to find the value of g(-2)

[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex]

More information:-

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]

Solve the formula A = lw for /​

Answers

Answer:

A/w = l

Step-by-step explanation:

A = lw

Divide each side by w

A/w = lw/w

A/w = l

A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?

Answers

Answer:

10

Step-by-step explanation:

P(black bean soup) = cans of black bean / total = 6/12 =1/2

out of the next 20

20 *P(black bean)

20 * 1/2 = 10

The answer your lookin for is 10

Find EH , given that line HF is the perpendicular bisector of EG

Answers

Answer:

EH = 5

Step-by-step explanation:

HF is the perpendicular bisector of EG , then

EH = HG = 5

A group of 17 students participated in a quiz competition. Their scores are shown below:

Score 0–4 5–9 10–14 15–19 20–24
Number of students 4 5 2 3 3
Part A: Would a dot plot, a histogram, or a box plot best represent the data shown above. Explain your answer. (4 points)

Part B: Provide a step-by-step description of how you would create the graph named in Part A. (6 points)

Answers

Part A

Answer: Histogram

Explanation:

A histogram is best because it helps show how the scores breakdown for the various bins or intervals or classes. It's effectively a visual summary of a grouped frequency table.

A dot plot would not work because we don't know the specific scores, but rather just the general region of where they fall.

A box plot doesn't work well either because we lose information on how the distribution is broken down. Sure we get the five number summary out of it, but we don't see how the bins are set up.

============================================================

Part B

We have the categories or bins of 0-4, 5-9, 10-14, 15-19, 20-24. Each bin will correspond to a bar that tells us how frequently the values show up. It tells us how frequent or how many scores we got in that sub-interval.

The bin 0-4 has a bar that is 4 units high which means we got 4 scores that are between 0 and 4The bin 5-9 has a bar that is 5 units high, so we have 5 scores between 5 and 9.The bin 10-14 has a bar that is 2 units high since we have 2 scores in this region.

And so on. This all leads to the histogram shown below.

Answer:

Part A is a histogram.

Part B draw a histogram

Step-by-step explanation:

This is because a dot plot and a box plot are too specific for how the data was given. We don't know the exact number for each student.

Part B The x axis would be labeled by the groups, 0-4, 5-9, 10-14, 15-19, 20-24. The y axis would be labeled number of students. Then you could color in the area matching the correct number of students for each category.

What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?

Answers

Complete Question

The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.

What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?

Answer:

[tex]P(\=x >96 )=0.01884[/tex]

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=12[/tex]

Sample mean [tex]\=x =90[/tex]

Standard Deviation [tex]\sigma=10[/tex]

Generally

[tex]\sigma_x=\frac{\sigma}{\sqrt{10}}[/tex]

[tex]\sigma_x=\frac{10}{\sqrt{12}}[/tex]

[tex]\sigma_x=2.887[/tex]

Generally the equation for P(\=x >96 ) is mathematically given by

[tex]P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})[/tex]

[tex]P(\=x >96 )=P*(Z>\frac{90-96}{2.887})[/tex]

[tex]P(\=x >96 )=1-P(Z<2.08)[/tex]

[tex]P(\=x >96 )=1-0.98116[/tex]

[tex]P(\=x >96 )=0.01884[/tex]

On a coordinate plane, a triangle has points A (negative 2, negative 2), B (1, negative 5), and C (negative 5, negative 5).
If a translation of T2, –7(x, y) is applied to ΔABC, what are the coordinates of B'?

Answers

Answer:

The answer is number 2. hope that helps

Answer:

(3,-12)

Step-by-step explanation:

the triangle has points A(-2,-2) B(1,-5) and C(-5,-5) the translation of (2 horizontally,-7 vertically)  will cause B to translate to coordinates (3, -12)

4. (03.05)
The graph shows the production of cars per day at a factory during a certain period of time. What is the domain of this function during this period? (1 point)



The domain is all real numbers o through 9.
The domain is all integers o through 9.
The domain is positive real numbers.
The domain is all positive integers.

Answers

Answer:

B. domain is all integers 0 through 9

Step-by-step explanation:

Domain values area usually plotted along the horizontal axis. In this case, the number of days is the domain of the of the function.

The domain of the function that is plotted on the graph ranges from 0, 1, 2 to 9.

1, 2, 3 to 9 are all integers. Therefore, we can conclude that the "domain is all integers 0 through 9."

This trapezium is drawn on a centimetre grid.
Find the area of the trapezium.

Answers

Answer:

20 unit²

Step-by-step explanation:

A trapezium is given to us on the grid and we need to find out the area of the trapezium . In order to find the area , we need to find the measure of the parallel sides and the distance between the parallel sides.

From the grid :-

[tex]\rm\implies Side_1 = 7 \ units [/tex]

[tex]\rm\implies Side_2 = 3 \ units [/tex]

[tex]\rm\implies \perp \ Distance =4 \ units [/tex]

Now here we got the two parallel sides of the trapezium and the distance between the two parallel sides. Now we can find the area as ,

[tex]\rm\implies Area_{Trapezium}= \dfrac{1}{2}\times ( s_1 + s_2) \times \perp \ Distance \\\\\rm\implies Area = \dfrac{1}{2} \times ( 7 + 3 ) \times 4 \ unit^2 \\\\\rm\implies Area = \dfrac{1}{2} \times ( 10) \times 4 \ unit^2 \\\\\rm\implies\boxed{\rm Area = 20 \ unit^2}[/tex]

Find AB, given that line AD is the perpendicular bisector of BC

Answers

Answer:

11

Step-by-step explanation:

because line AD divided the triangle ABC into two equal halves

A line segment has one endpoint of A (2,5) and a slope of (2/3). Find coordinates for B

Answers

Answer:

B could be (4,8), (6,11), (8,14), (10,17), (12,20), etc.

Step-by-step explanation:

quick mafhs

What is value of x if 20x-10*110=50

Answers

Answer:

57.5

Step-by-step explanation:

20x - (10 x 110) = 50

=> 20x - 1100 = 50

=> 20x = 1150

=> x = 1150/20

=> x = 115/2

=> x = 57.5

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Which of the choices below could be a scientific problem?a. Tomato plants require 8 hours of direct sunlight to thrive.b. Plant a tomato seedling 6 inches deep a large pot.C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.d. How much sunlight do tomato plants need to thrive? Match each land resource to its use.clay - used to make steeliron ore - used to make batteriessalt - used to make pottery and tilesaggregate - used in constructiongraphite - used as a flavoring in foodi will give 10 points and brainliest!!! Find the length of side xx in simplest radical form with a rational denominator. Find the input (x) of the function y=5x-3 if the output (y) is 32 The sum of a number x andeleven Mr. Sanders is concerned about one of his students. The student, Mateo, has serious and persistent problems in his relationships with his peers. He displays aggression and is often out of control. Mateo also displays signs of depression that can last up to several weeks, and he experiences school-related fears that disrupt his learning. Mateo most likely could be diagnosed with 1. 108 identical books have a mass of 30 kg. Find(i) the mass of 150 such books(ii) the number of such books that have a mass of 20 kg if a 27% is a sale profit , how much profit is in the sale of $4650?pls explain if u can. thanks!! A small boat can travel at 28 per hour how many hours will it take to go across the bay that is 56 miles wide What is the common difference for this arithmetic sequence?-6,-1,4,9,14,...A. 6B. 4C. 5D. 3SUBMIT Robin fired a bullet of mass 100 gm from a gun of mass 5 kg. The bullet leaves the gun with a speed of 400 m/s. After penetrating 4 cm of a plank of 10 cm, the bullet loses one third of its initial velocity. a. Calculate the backward velocity of the gun?b. Can the bullet penetrate the plank of the wood completely? Explain mathematically. please help What will happen if we drink liquid nitrogen? One year, Alex bought an antique car for his birthday. During the first year he owned it, thevalue of the car gained 10%. During the second year, the value of the car gained another15% from the previous year. If the value of the car is now $37,950.00, how much did Alexoriginally pay for his car? true or false: An epic work is a story or poem that focuses on heroic characters that act out grand struggles. Complete the function table. Match the terms in column B to the descriptions in column A.Column A:1. Connects the larynx to the main bronchi2. Includes terminal and respiratory as subtypes3. Food passageway posterior to the trachea4. Covers the glottis during swallowing of food5. Contains the vocal cords6. Indentation on the lung where the lung root structures enter and exit7. Pleural layer lining the walls of the thorax8. Site from which oxygen enters the pulmonary blood9. Connects the middle ear to the nasopharynx10. Pleural layer in contact with the surface of the lung11. Increases air turbulence in the nasal cavity12. Separates the oral cavity from the nasal cavityColumn B:a. alveolusb. bronchiolec. conchaed. epiglottise. esophagusf. hilumg. larynxh. palatei. pharyngotympanic tubej. parietal pleurak. tracheal. visceral pleura The lifetimes of light bulbs of a particular type are normally distributed with a mean of 350 hours and a standard deviation of 6 hours. What percentage of the bulbs have lifetimes that lie within 1 standard deviation to either side of the mean? What do we need to know to understand the formation of a chemical bond? John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.A 4x5y7z3B 4x6y10zC 8x5y7z3D 16x6y10z2 I need help completing this answer are you available