One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer 1

To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.

13^2 + b^2 = 17^2

169 + b^2 = 289

b^2 = 120

b = 11.0 cm

The length of the other leg of the triangle is 11.0 cm (rounded).

Hope this helps!

Answer 2

The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

[tex]a^2 + b^2 = c^2[/tex]

Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.

To find the lengths of a right triangle, we can use Pythagorean Theorem:

[tex]a^2 + b^2 = c^2[/tex],

where; a and b are the legs of the triangle and c is the hypotenuse.

[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]

b = 11.0 cm

Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.

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Related Questions

WILL GIVE BRAINLIEST IF YOU KNOW THE ANSWER!!! PLS HELP :)

Answers

Answer:

A. 5.0 * 10⁻⁹ J

Step-by-step explanation:

Q is charge.

ΔV is electric potential energy.

All we have to do is plug both values in.

PE = (1/2)(1.0 * 10⁻¹⁰)(100) = (1/2)(1.0* 10⁻⁸) = 5.0 * 10⁻⁹ J

Answer:

A.

Step-by-step explanation:

Plug the values in and there is your answer.


I hope it helps! Have a great day!

Anygays-

What is the measure of the radius, c, rounded to the nearest hundredth? use an appropriate trigonometric ratio to solve. 5.88 cm 8.09 cm 12.36 cm 17.01 cm

Answers

The measure of the radius, c, rounded to the nearest hundredthis 12.36cm

Trigonometry identity

The given figure is a pentagon. The measure of one of the interior angle is 108 degrees.

The triangle in the pentagon is right angle.

Measured acute ange = 108/2 = 54 degrees

Using the trig identity

sin 54 = 10/c

c =10/sin54

c = 10/0.8090
c = 12.36 cm

Hence the  measure of the radius, c, rounded to the nearest hundredthis 12.36cm

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Answer:

12.36

Step-by-step explanation:

FOR 100 POINTS
The ratio of boys to girls in Janice’s classroom is 3:5, and there are a total of 32 students in the class. Using complete sentences, explain how you could draw a tape diagram to represent this situation. In your answer, make sure to include what quantity each bar represents.

Answers

Answer:

The answer is

18:32

Step-by-step explanation:

The total number of students in the class is 32 students. 3 boys and 5 girls. But wait! Were not done yet.

Boys:

3 x 4 = 12

or

3 + 3 + 3 + 3 = 12

Girls:

4 + 4 + 4 + 4 + 4 = 20

or

4 x 5 = 20

20 + 12 = 32

Hope this helped! :^)

- ✨7272033Alt

your class wants to sell school spirit cups with the school logo on them .you teacher asks you to design this new cup such that a stack of 10cups will be 125 cm tall. describe key measurements of the school spirit cups and explain how they will meet the reqiured specifications

Answers

Each cup is 1 cm after being stacked

The class can make the school cup of 120.5 cm tall.

What is Equation?

Equations include two sides on the left and right connected with equal to sign.

We can find the key measurements of the cups using the formula,

x + 10y = 125

where x is the height of one cup without including the lip length and y is the lip length.

x + y is the height of one cup.

There are various ways to form the measurement of x and y here.

Let y, the lip length of the cup be 1 cm tall. Then,

x + 10 = 125

⇒ x = 115

Length of 1 cup will be 115 + 1 = 116 cm.

Suppose length of lip, y be 0.5 cm. Then,

x + (10 × 0.5) = 125

x + 5 = 125

x = 125 - 5

x = 120 cm

Length of 1 cup will be 120 + 0.5 = 120.5 cm.

Similarly, we can have many measurements for the height of one cup.

Their logo can be placed in the middle of the cup taking the height of 80 cm leaving 20 cm on the top and bottom.

Hence the class can make the school cup of 120.5 cm tall.

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Which of these numbers is the greatest?

0.29
0.27
0.21
0.28

Answers

0.29 is the greatest because .21, .27, and .28 are smaller than .29

Hope this helps and please mark brainliest!

Answer:

0.29

Step-by-step explanation:

greatest numberrr

IMAGE IS DOWN BELOW
SOMEONE PLEASE HELP ME WITH THIS
ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

13.0 cm

Step-by-step explanation:

We proceed by Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

We are given a = 1 and b = 13

[tex]1^2 +13^2 =c^2\\c=\sqrt{170}\\[/tex]

c ≈ 13.0

This is the answer rounded to the nearest tenth.

13.0
Use the Pythagorean theorem
Round to the nearest tenth

What is the area of triangle PQR rounded to the nearest tenth of a square meter? Drawing is not to scale.

Answers

Answer:

A 31.3

Step-by-step explanation:

just took the test

Answer:

27.0m^2

Step-by-step explanation:

Use the formula A = 0.5 * a * b * sin (x)

this formula is used for obtuse angles where a & b are the sides (12,7) and x is the angle between them.

Fill in the blanks:

A = 0.5 * 12 * 7 * sin (40)

use demos scientific calculator

A= 26.99

round up

27.0 m^2

A caterer charges a setup fee of $40, plus $15 per
person. How much will the caterer charge if 22
people attend the party, and the customer has a
coupon for $100 off the total?

Answers

$270



22 times 15 is 330
330 + 40 is 370
370-100 =270

There are 25 white tiles in a box. what percent of tiles what percent of tiles will ally use to tile her laundry room floor (6ft by 6ft)

Answers

Answer: 100%

Step-by-step explanation:


What operation does the key word " increase" tell you to do?

Answers

Explanation:

The word "increased" tells us to add a specific number to the addend. Let us take an example to understand the word "increased".

Example: 3 is increased by 4.

⇒ 3 + 4

Notice that the addend (3) is being increased (+) by 4.

You supply a good at a price of $5. You also earn a profit at this price. This means that your marginal cost could be _____. $2.00 $5.00 $10.00

Answers

[tex]$5.00[/tex][tex]Hello[/tex] [tex]There![/tex]

Your answer is..:

$[tex]5.00[/tex]

Hopefully, that helps you!!

[tex]OwoSokka[/tex]

again another Pythagorean Theorem i need help on, please and thank you

Answers

     You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."

     The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.

What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.

       In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.

kyle has x -3ounce blue marbles and 5 ounce green marbles. lara has 5-ounce green marbles and 3-ounces of blue marbles. is it possible for kyle and lara to have the same number of green marbles and the same total bag weight ,y? explain

Answers

Answer:

yes

Step-by-step explanation:

if x=6, 6-3=3 , so it is possible if x is 6

if a-1/a=5 then find the value of a square +1/asquare​

Answers

Answer:

3

Step-by-step explanation:

Calculating a

a - 1 / a = 5a - 1 = 5a4a = -1a = -1/4

Substitute in the 2nd equation

a² + 1 / a²(-1/4)² + 1 / (-1/4)²1/2 + 1 / 1/23/2 / 1/23

In 1932, the average house in the united states cost $3,900. today, the average cost of a house is $350,000. what is the percent of change in the average price of a house in the united states (round to the nearest whole percentage)? ​

Answers

Answer:

8,874%

Step-by-step explanation:

Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"

What is the measure of arc AB?

Answers

Answer:

First find out area of circle and find the A B X angle then substract Total area by ABX

Answer:

68

Step-by-step explanation:

The intercepted arc (AB) is double the inscribed angle (34)

a cylindrical tank has a diameter of 24 dm And a height of 30, dm.how many litters of a water can it hold when full (1 dm³ = 1 L)​

Answers

You must find the area of the circle first, meaning you need to find the Radius. The radius is half of the diameter so:

R = 12

To find the area of a circle you must do (R)^2 x Pi (3.14)

Meaning you must do:

12 x 12 = 144 = (R)^2

144 x (3.14) Pi = 452.16

Next we need to find the volume of the tank, by using the area of the circle we can now use the formula Area ((R)^2 xPi (3.14)) x height

We know the height equals 30dm so:

452.16 x 30 = 13,564.8

As it is 1dm^3 to 1L we don’t need to divide anything to equal them as they are the same meaning the answer is

13,564.8 Litres

Every second, an elevator either has a 50% chance of going up and a 50% chance of going down. If the elevator starts at floor 15, what is the probability that, after 5 seconds, the elevator is at floor 18?

Answers

Using it's concept, it is found that there is a 0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Starting at floor 15, these are the following outcomes that result in the elevator being at floor 18 in 5 seconds, each with [tex]0.5^5[/tex] probability:

4 up, 1 down.3 up, 1 down, 1 up.1 down, 4 up.1 up, 1 down, 3 up.2 up, 1 down, 2 up.

5 outcomes, hence the probability is:

[tex]p = 5 \times (0.5)^5 = 0.1563[/tex]

0.1563 = 15.63% probability that, after 5 seconds, the elevator is at floor 18.

More can be learned about probabilities at https://brainly.com/question/14398287

pls answer (10 points given)

Answers

Answer:

C

Step-by-step explanation:

Its not greater than or equal to and its less than 6.

Answer:

A. x < 3

Step-by-step explanation:

2x < 6

Simplify:

2x < 6 <== divide both sides by 2

/2   /2

x < 3

Rules:

Open circle: < (going left) or > (going right)

Closed circle: ≤ (going left) or ≥ (going right)

For our answer: x < 3

It would be an open circle going left. The only number line that illustrates this is line A.

Hope this helps!

Jill went shopping from 3:45 pm to 5:00 om for how long did she shop

Answers

She spent 2 hours and 15 minutes

Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.

Answers

Answer:

yes ur on track

Step-by-step explanation:

Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.

Answers

The true statement is that (b) The limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).

How to interpret the limit of f(x)?

From the graph of the function (see attachment), we have the following highlight:

There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0

When there is an open circle in the graph at x = 0, then the function has no limit at this point

This is so because the value is exclusive of the function values

Hence, the limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).

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Answer:

C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.

Step-by-step explanation:

Precalc Edge 2023

can someone help me with this question

Answers

b is a answer

Step-by-step explanation:

formula

=a+b/2×h

Answer: 126 mm^2.

Step-by-step explanation: When finding the area of a trapezoid, you need to add two bases, multiply the height, and divide it all in half.  The steps are done below:

First, we need to find the bases and the height.  The bases are are circled below, but it's basically the top and bottom lengths of the triangle.  Base 1 doesn't have to be 10 either, it can be 18 base 2 can be 10, whichever works for you.  All you need is to assign each base with a top or bottom length.  The height is how tall the trapezoid is, which is also circled below.Secondly, we need to add the bases and multiply the height. B1 is base 1, b2 is base 2, and h is the height.  It should look like this: 10 (b1) + 18(b2) = 28, then 28 x 9(h) = 252.Lastly, we need to divide 252 in half, which you can do in two ways.  You can either simply divide 252 by 2, or multiply 252 by 1/2, which both give you the answer 126 mm^2, which is your answer.

Have a great day! :)

PLSS HELP!! FIRST ANSWER GETS BRAINLIEST!!!!
At a baseball game, the Rebelos orrdered 2 hot dogs and 3 cheese burgers and paid $20.00. The Caines ordered 2 hot dogs and 5 cheeseburgers and paid $29.00. What is the cost of one cheeseburger?

Answers

Answer:

$4.5

Step-by-step explanation:

Hot dogs=h

Cheese burgers=c

2h+3c=20

2h+5c=29

There are two ways to solve-

1. Elimination- multiply the bottom by -1.

2h+3c=20

-2h-5c=-29

-2c=-9

c=4.5

2. Just move 2h, and you get 2c=9, 4.5

What should we added to -3/20 to get 2 9/20

Answers

Answer:

2.60

Step-by-step explanation:

This is a strange way to solve the problem, but it works for me.

1. Convert to decimals

         -3/20 = -.15

         2- 9/20 = 49/20 = 2.45

2. Solve

     2.45 - (-.15)

     2.45 + .15 = 2.60

For what values of a is the expression true? |a+5|=a+5

Answers

Answer:

a>=-5

Step-by-step explanation:

when a+5>/=0

a>/=-5 because the if the contents of the absolute value are equal to the same expression in the absolute value if the expression is non negative. So we find the values of a when the expression is nonnegative.

Which of the following lines has a negative slope?

Answers

Answer:

The second option, or the one attached.

Step-by-step explanation:

       This line has a negative slope because the line is going "down the stairs" from the top-left to the bottom-right.

Answer:

negative, the arrows pointing directly to it,

no links please help!!!

Answers

Answer:

5. During the day, the temperature on the surface of Mars rises at a rate of 9 degrees C every hour

a. In 2 hours: 18 a. in 3 hours: 27    in n hours: 9n

b. y=9n

c. 108

d. -540

6. Kaite saves 5 dollars every week, so far she has saved a total of $63

a. y=5x+63

b. 25

hope it helps

can someone please help me with this question

Answers

Answer:

88 [tex]in^2[/tex]

Step-by-step explanation:

2(2 x 6 + 4 x 6 + 4 x 2)

[tex]2[/tex][tex](wl+hl+hw)[/tex]

i need help it is overdue ): ​

Answers

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 4

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 8 ( divide both sides by 2 )

y = 4

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