What is the length of the unknown leg of the right​ triangle?

What Is The Length Of The Unknown Leg Of The Right Triangle?

Answers

Answer 1

1. Use the Pythagorean Theorem since this is a right triangle:

a^2 + b^2 = c^2

4^2 + b^2 = 9^2

b^2 = 9^2 - 4^2

b = √ 65

b = 8

answer : 8


Related Questions

A rectangular prism is 9 inches long, 4 inches wide, and 11.6 inches high. What is the volume of the rectangular prism?

Answers

Answer:

417.6 in sq

Step-by-step explanation:

9 x 4 x 11.6 = 417.6

What are the roots of the quadratic function?

f(x) = (x – 8)(x – 4)

Answers

Answer:

x = 8

x = 4

Step-by-step explanation:

does anyone know how to solve this?

does anyone know how to solve this?

Answers

Answer:

\(x=360\)

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

\(m<MON = MN\\\)

Substitute,

\(x=2\pi\)

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

\(degree=\frac{\pi}{180}radians\)

Substitute,

\(degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\\)

Simplify,

\(degree=\frac{180*(2\pi)}{\pi}\\degree=360\)

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      \(Arc \ Length = 2 \pi r (\frac{x}{360})\)

             \(2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ\)

PLEASE NO LINKS Thanks :))

PLEASE NO LINKS Thanks :))

Answers

Answer:

C: 22 points.

Step-by-step explanation:

Expand 2x(3x+y) how do you do this please help

Answers

Had this question earlier this week, here’s what I used
Expand 2x(3x+y) how do you do this please help

consider the following binomial experiment: a survey shows 53% of households in centercity own a dvd player. in a random sample of 22 households in this city, what is the probability that exactly 17 households own a dvd player?

Answers

The probability that exactly 17 households own a DVD player is 0.0124.

Given:

The probability that a house hold in centercity owns a DVD player is = 53%.

So, p = 0.53

The probability that a house hold in centercity does not own a DVD player is = 100% - 53% = 47%

So, q = 0.47

The sample size is 22 households in the city.

So, n = 22

We have to calculate the probability that exactly 17 households own a DVD player.

So, r = 17

The formula to be used in binomial experiment is:

P (r) = \(\frac{n!}{r! (n -r)!}\) × \(p^{r}\) ×\(q^{n-r}\)

The probability that exactly 17 households own a DVD player will be,

= \(\frac{22!}{17! (22 - 17)!}\) × \(0.53^{17}\) ×\(0.43^{22-17}\)

= \(\frac{22!}{17! (5)!}\)× \(0.53^{17}\) ×\(0.43^{5}\)

= 0.0124

Therefore, the probability that exactly 17 households own a DVD player is 0.0124.

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If vector u= (-4,8) and vector (5,-18), which vector can be added to 2u-4v to give the unit vector in the direction of the y-axis as the resultant vector?
A. w = (12, -87)
B. w = (28, -55)
C. w = (28, -87)
D. w = (12, -55)

Answers

Answer:

hey buddy im gona help you!

Step-by-step explanation:

If vector u= (-4,8) and vector (5,-18), which vector can be added to 2u-4v to give the unit vector in

will give brainliest

will give brainliest

Answers

Answer:

first quadrant

Step-by-step explanation:

first quadrant because yes

A standard shower head uses 18 gallon of water in 3 minutes. If 270 gallons were used, how many minutes were spent in the shower?

Answers

Answer:

the answer is 45 minutes, hope this helped :-)

Step-by-step explanation:

18:3=6

270:6=45

Answer:they spent 15 minutes in the shower

Step-by-step explanation:

x⁴+8x³+34x²+72x+81 factories it.​

Answers

Answer:

The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.

PLEASE HELP! WILL GIVE BRAINLIEST!
Solve for x

PLEASE HELP! WILL GIVE BRAINLIEST!Solve for x

Answers

Answer:

It would be C  , 7 root 2

Step-by-step explanation:

you would have to find the Sin of 45. So you set up a proportion ( you can do this on a calculator)

sin 45=7/x and then calculate that and solve.

If you dont have a calc then the sin of 45 is 1/root2

___% of 75 is 25 PLEASE ANSWER ASAP

Answers

Answer:

18.75.

Step-by-step explanation:

Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^





(Please don't answer with anything random just for the points)

Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated

Answers

Answer:

Factored Form: f(x) = (x-7)(x-4)

Roots: x=7, x=4

Step-by-step explanation:

What  we can do here is break the given expression into groups;

x^2-11x+28 ---> break the expression into groups

(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x

x(x-4) + (-7x +28) ---> factor - 7 from -7x +28

x(x-4) -7(x-4) ---> combine

(x-7)(x-4)

so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4

Answer:

ñanamaisañia thanks for points

please help i will give brainliest

please help i will give brainliest

Answers

answer is T1 = -4. T2 = -3. T3 = 0

In order to solve this, you need to put 3 different values into the equation: 1, 2, and 3. Let’s start with the first one.

1^2 - 2(1) - 3

Since one to any power is just 1, we can get rid of that squared sign.

1 - 2(1) -3

Multiply the 2 and 1

1 - 2 - 3

And finally combine all the terms together.

-4

Which gives us T(1) = -4

We can do the same thing for the other input values.

2^2 - 2(2) - 3

In this case, the 2 squared comes out to 2x2, or 4

4 - 2(2) - 3

And from there we can just combine the terms together using the same tactics as above

4 - 4 - 3

-3

To give us T(2) = -3

Finally, we can input 3 into the equation.

3^2 - 2(3) - 3

Here we do the 3x3 for the 3 squared

9 - 2(3) - 3

And then solve like above

9 - 6 - 3

0

Which gives us T(3) = 0

In short,

T(1) = -4
T(2) = -3
T(3) = 0

Hope this helps!

to solve the system of equations below, Becca isolated x^2 in the firs equation and then substituted it into the second equation

Answers

The resulting equation if Becca isolated x² in the first equation and then substituted it into the second equation is (9-y²) / 25 - y²/36 = 1

Equation

x² + y² = 9

x²/25 - y²/36 = 1

From (1)

x² = 9 - y²

substitute x² = 9 - y² into (2)

x²/25 - y²/36 = 1

(9-y²) / 25 - y²/36 = 1

Therefore, the resulting equation is option C; (9-y²) / 25 - y²/36 = 1

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to solve the system of equations below, Becca isolated x^2 in the firs equation and then substituted

Answer:

(9-y²) / 25 - y²/36 = 1

Step-by-step explanation:

Solve.

−2x−35=87

Enter your answer in the box.

x =
20 POINTS

Answers

2x+76=318x
Make sure to include x

Answer:

x = -61

Step-by-step explanation:

-  2x - 35 = 87.    

         +35. +35.   Add 35 to both sides

-2x = 122.  

-2/-2 = 122/-2.     Divide by -2 on both sides

     x = -61

Suppose y varies directly with x, and y = 60 when x = 12. What is y when x is 20?

Answers

Step-by-step explanation:

y = kx, where k is a real constant.

When x = 12, y = 60.

=> (60) = (12)k, k = 5.

Therefore when x = 20,

y = kx = (5)(20) = 100.

NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters

Answers

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Find the area of the shaded region.

Find the area of the shaded region.

Answers

The region is made up of

• a right triangle with short leg 10 m and hypotenuse 26 m

• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)

• another triangle with two known legs of length 20 m and 26 m

Find the height of the right triangle using the Pythagorean theorem. If the height is h, then

(10 m)² + h² = (26 m)²   ⇒   h² = 576 m²   ⇒   h = 24 m

This height is common to all three shapes.

Now find the area of each shape.

• right triangle:

1/2 × (10 m) × (24 m) = 120 m²

• parallelogram:

(40 m) × (24 m) = 960 m²

• other triangle:

• 1/2 × (20 m) × (24 m) = 240 m²

Then the total area of the shaded region is 1320 m².

write an expression that represent dived 0.04 by n

Answers

The expression that refers the operation "0.04 divided by n" is written as 0.04/n

An expression is a mathematical statement that contains operators, variables, and constants.

In this case, we want to write an expression that will represent the division of 0.04 by n.

The expression for this would be 0.04/n, where n is the number being divided by 0.04.

This expression shows that when 0.04 is divided by n, the result is 0.04 divided by n.

The expression can be used to calculate the result of any division problem involving 0.04 and n

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pls answer i need help

pls answer i need help

Answers

Answer:

Step-by-step explanation:

its c

Pls help l will make you Brianlist pls help!

Pls help l will make you Brianlist pls help!

Answers

Answer: The answer is A

Step-by-step explanation:

If you add all of the q's together then it equals 3q and if you add the p's together then it makes 2p and those are not like terms so its 2p+3q

Answer: A

Step-by-step explanation: because it has 2 p it means that whatever number p is times 2 because there is two. of the same with the q there is 3 q's so whatever number q is times 3 because there is 3 of them

A construction company uses regular and dually trucks (trucks that have 2 tires in the back on each side, so have 6 tires total). Altogether they have 73 trucks. They are planning to replace the tires on all their vehicles and have ordered 354 tires. If the regular trucks have 4 tires each and the dually's have 6 tires each, how many of each type of truck do they own?

Answers

Answer: See explanation

Step-by-step explanation:

Let the number of regular trucks be a

Let the number of dually trucks be b.

From the question,

a + b = 73 .......... i

4a + 6b = 354 .......... ii

Multiply equation i by 4

Multiply equation ii by 1

4a + 4b = 292 ........ iii

4a + 6b = 354 ........ iv

Subtract iii from iv

2b = 62

b = 62/2

b = 31

The number of dually trucks = 31

Since a + b = 73

a + 31 = 73

a = 73 - 31

a = 42

The number of regular trucks = 42

Tolong ka yang bisa jawab:)​

Tolong ka yang bisa jawab:)

Answers

Answer:

1) 5/8

\(\frac{5}{8} rad = 35.809\textdegree\)  or (atau)   \(\frac{5}{8} \pi rad = 112.5\textdegree\)

2) a. 75°  b. 132°

\(75\textdegree = 1.308\) \(rad\)   or (atau)    \(75\textdegree = 0.41\overline{6}\) \(\pi\) \(rad\)

\(132\textdegree = 2.303\) \(rad\)  or (atau)    \(132\textdegree = 0.7\overline{3}\) \(\pi\) \(rad\)

There are 9 teams that are numbered respectively from 1 to 9. Each team member has the group number printed on his/her shirt and each team cannot have more team members then its number. Armen started to add up all the odd numbers he saw on the shirts and asked David to add up all the even ones. What is the greatest possible difference between David's results and Armen's

Answers

The greatest possible difference between David's result and Armen's result is 5.

Let's first consider the maximum number of odd shirts Armen can count. Since there are only 5 odd numbers between 1 and 9, the maximum number of odd shirts Armen can count is 1+3+5+7+9 = 25.

Now, let's consider the maximum number of even shirts David can count. Since there are only 4 even numbers between 1 and 9, the maximum number of even shirts David can count is 2+4+6+8 = 20.

Therefore, the greatest possible difference between David's result and Armen's result is

= 25 - 20

Subtract the numbers

= 5

The maximum difference occurs when Armen counts all 5 odd shirts and David counts all 4 even shirts.

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8(x-2)-3(1-x)=9(x+2)+1

Answers

Answer:

x=19

Step-by-step explanation:

Help plzzzzzzzzzzzzzzzz

Help plzzzzzzzzzzzzzzzz

Answers

Answer: answer is 72 you can  get it by either multiplying the height and the base by two and following the formula for area of a triangle or you can divide 36 by two and multiply that by 4

Step-by-step explanation:

Answer:

72 meters

Step-by-step explanation:

Working on 1 triangle at a time

How to find the area of a triangle: Base x Height divided by 2

So: 6 x 6 = 36

36 divided by 2 = 18

Each triangle is 18 meters

18 x 4 triangles = 72 meters

how to change fraction in decimal example 108/30 change it in decimal

Answers

Answer:

You divide

Example:

- 5/10= 0,5

-108/30= 3,6

answer: 3.6

explanation: 108 divided by 30 is 3.6

Krissy ran three miles one morning she ran the first mile in 11. 74 minutes the second mile in 11. 26 minutes in the third mile in 12.12 minute rounded to the nearest hundredth what is the total number of minutes that it took krissy to run these three miles?

Answers

Answer:

Step-by-step explanation:

Givens

Time 1 = 11.74

Time 2 = 11.26

Time 3 = 12.12           Add

Solution

11.74 + 11.26 + 12.12 =

Total Time = 35.12

35.12 miles is the total number of minutes that it took krissy to run these three miles.

What is a simple definition of time?

The measured or measurable period during which an action, process, or condition exists or continues : duration. b : a nonspatial continuum that is measured in terms of events which succeed one another from past through present to future.

Krissy ran three miles one morning she ran the first mile in time 1 = 11.74

Krissy ran three miles one morning she ran the first mile in time 2 = 11.26

Krissy ran three miles one morning she ran the first mile in time 3 = 12.12          

To get total time , we have to add all the time 1,2,3

Total time = Time1 + Time2 + Time3

                  = 11.74 + 11.26 + 12.12

Total Time =  35.12 miles

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A statistical procedure for analyzing the results of multiple studies to reach an overall conclusion is known as

Answers

The statistical procedure for analyzing the results of multiple studies to reach an overall conclusion is known as meta-analysis.

Meta-analysis is a statistical technique used to combine and analyze data from multiple independent studies on a specific research question or topic. It involves systematically reviewing and synthesizing the results of individual studies to draw an overall conclusion or estimate the effect size of an intervention or phenomenon.

In a meta-analysis, researchers collect data from each study, including the study design, sample size, and effect size measures. The effect size represents the magnitude of the observed effect or relationship of interest. By pooling the effect sizes across studies, researchers can assess the overall effect and test its statistical significance.

Meta-analysis provides several advantages, including increased statistical power due to larger sample sizes, the ability to generalize findings across multiple studies, and the opportunity to identify patterns or sources of heterogeneity across studies.

Overall, meta-analysis is a valuable statistical procedure that allows researchers to synthesize and interpret findings from multiple studies, providing a more comprehensive and robust understanding of a research topic.

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