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Answer:

h=15feet.

Step-by-step explanation:

using Pythagoras theorem

h²=p²+b²

hope it helps.

[tex]\huge\bold{To\:find:}[/tex]

✎ The length of the hypotenuse.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:length\:of\:the\:hypotenuse \:"c"\:is\:15\:feet.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Using Pythagoras theorem, we have

[tex]( {perpendicular})^{2} + ( {base})^{2} = ( {hypotenuse})^{2} \\⇢  ({12 \: ft})^{2} + ( {9 \: ft})^{2} = {c}^{2} \\ ⇢ 144 \: {ft}^{2} + 81 \: {ft}^{2} = {c}^{2} \\ ⇢ 225 \: {ft}^{2} = {c}^{2} \\ ⇢  \sqrt{225 \: {ft}^{2} } = c \\ ⇢  \sqrt{15 \times 15 \: {ft}^{2} } = c \\ ⇢ 15 \: ft = c[/tex]

[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:15\:feet.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]( {12 \: ft})^{2} + ( {9 \: ft})^{2} = ( {15 \: ft})^{2} \\⇝144 \: {ft}^{2} + 81 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝225 \: {ft}^{2} = 225 \: {ft}^{2} \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

Step-by-step explanation:

1. Combine Like Terms

24 + 6a = 6 - 4a

+4a          +4a

24 + 10a = 6

-24            -24

10a = -18

___   ___

10      10

a= -1.8

Answer:

6:55 p.m

Step-by-step explanation:

Hour connects with hour therefore, 5 + 1 = 6

Minutes connects with minutes thus, 10 + 45 = 55

Hence it being 6:55 p.m when the movie finishes if it starts at 5:10 p.m.

Answer:

7.18

Step-by-step explanation

4* COS(23) = 3.682

3.5+3.682 = 7.182

Answer:

19

Step-by-step explanation:

9+10=19

add the ones place (0+9) then the tens place (1+0).

Answer:

See below.

Step-by-step explanation:

See the attached chart that shows all outcomes for two dice.

There are 36 possible outcomes, all equally likely (if the dice are fair!).

The probability of getting a sum of 2 is  1/36 (only one way to get 2: both dice show 1).

The probability of getting a sum of 3 is  2/36 = 1/18.

The probability of getting a sum of 7 is 6/36 = 1/6 (the most likely sum!)

(Notice how all the sum = 7 outcomes like on a diagonal in the chart?)

The probability of getting a sum of 11 is  2/36 = 1/18.

The probability of getting a sum of 12 is 1/36.

Answer:

3/26

Step-by-step explanation:

Add 9+9+5+3 = 26

Total of 3 Tiger Cookies

3/26

Answer:

The answer is "triangle ABC is not a right triangle".

Step-by-step explanation:

For a right-angle triangle:

Its square upon on longest or triangular edges is equivalent to the total of the other two squares

Its parameters indicated throughout the question are;

Square of lateral length [tex]A = 7 \ inch^2[/tex]

The square of lateral length [tex]B = 18 \ inch^2[/tex]

The square of lateral length [tex]C=27\ inch^2[/tex]

Thus, the longest side is C, as well as the size [tex]inch^2[/tex] of the squares of its two sides, is[tex]7 + 18 = 25 \ inch^2[/tex], lower than square [tex]C = 27\ inch^2[/tex], hence, the ABC triangle is not correct. Its longest edge is consequently C.

Answer:

-49

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Answer: [tex]527\ ft^2[/tex]

Step-by-step explanation:

Given

Cost of paint is [tex]\$12.34\ \text{per gallon}[/tex]

Dimension of room is [tex]11\times 13\times 8\ ft^3[/tex]

There are five side of wall to be painted leaving only the floor

Area is given by

[tex]\Rightarrow 2[8\times 11+8\times 13]+11\times 13\\\Rightarrow 2\times 8[24]+143\\\Rightarrow 384+143\\\Rightarrow 527\ ft^2[/tex]

Answer: See explanation

Step-by-step explanation:

Since we given the information that Jordan is preparing serving of baby carrots and that he has 96 baby carrots, while each serving is 12 carats.

The number of shearings that Jordan can prepare will be:

= 96 / 12

= 8

From the above calculation, there won't be any carrots left since we do not have a remainder.

Answer: 2 is the answer

Step-by-step explanation:

Answer:

15 students do not like either sport

Step-by-step explanation:

See the attached image.

Step 1: put 35 in the "like to play both" (intersection) area.

Step 2: subtract those 35 from the 65 football players.  65 - 35 = 30 players like football but not cricket.  Put 35 in the football but not cricket area.

Step 3: subtract 35 from the 55 cricket players.  55 - 35 = 20 players like cricket but not football.  Put 20 in the cricket but not football area.

Step 4: Add the 30 + 35 + 20 = 85 together.  So 85 players are accounted for as players of one or more sports.

Step 5: 100 - 85 = 15 must be the number of students who did not like either sport.  Put 15 in the area outside both circles.

Answer:

its 90

m(PZR)=PR )

Hopefully its helpful and correct

Answer:

y<-1

Step-by-step explanation:

This exponential function will never approach y=-1, but it goes "under" the line of -1, so it is y<-1

Answer: a

Step-by-step explanation:pls brainly me

3/4m(4m+16n) + m/n open the bracket of equation,

3/4m(4m+16n) + m/n = 3+ 12n/m + m/n

now multiply and devide by mn on RHS,

3/4m(4m+16n) + m/n = (3mn+12n²+m²)/mn

Answer:

36:45

Step-by-step explanation:

$81. u add the ratios 4+5=9

$81/9=9

9*4=36

9*5=45

Answer:

TO find the answer, first you have to find the formula for volume of a cone-

The formula is

V= 1/3 times base times height

So V= (1/3) (pi3^2) (12)

V= 113.04

By the way for the base you have to find the volume of a circle. I divided the diameter by 2 to find the radius.

and pi is 3.14

Answer:

2x(5x-2) = 10(x^2) - 4x

PLEASE GIVE BRAINLIEST

Answer:

9 Meters

Step-by-step explanation:

If 1 mm is the scale used for 3 meters and the garage in the scale model is 3 mm wide 3*3=9.

Answer: The ansswer is B

Step-by-step explanation:

Answer: The answer is D

Step-by-step explanation: hope this helps

Answer:

B, it's a reflection over the y-axis

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It's B because all your doing is flipping the image over the y-axis

Answer:

900

Step-by-step explanation:

2 ¼% is equal to 225%

Let the three items be M, Y and P.

n{M ∩ Y} only = 4-3 = 1

n{M ∩ P) only = 5-3 = 2

n{ Y ∩ P} only = 2

n{M} only = 12-(1+3+2) = 6

n{Y} only = 10-(1+2+3) = 4

n{P} only = 14-(2+3+2) = 7

n{M∩P∩Y} = 3

Number of women in the group = 6+4+7+(1+2+2+3) as above =25 women.

Answer:2

Step-by-step explanation:because 2f= 2 so 4-2=2 i am so sorry if its wrong

Answer:

2

Step-by-step explanation:

4-2f

4-2(1)

4-2=

2

Answer:

96 students

Step-by-step explanation:

x + y = 323

2x + 3.5y = 790

=> by elimination

2x+3.5y=790

2x+ 2y = 646

__________-

1.5y = 144

y = 144/1.5 = 96

The system of equations are

x + y = 323

2x + 3.5y = 790

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the system of equations be A and B

Now , the number of tickets sold = 323 tickets

Let the number of students be = x

Let the number of non students = y

So , x + y = 323   be equation (1)

The cost for students = $ 2

The cost for non students = $ 3.50

The total cost of all the tickets = $ 790

So , 2x + 3.5y = 790   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

2x + 2y = 646   be equation (3)

Subtracting equation (3) from equation (4) , we get

1.5y = 144

Divide by 1.5 on both sides of the equation , we get

y = 96

So , the number of non students be y = 96

Substituting the values of y in equation (1) , we get

x = 323 - 96 = 227 students

Now , the graph of the equations is plotted and the point of intersection is the solution ( 227 , 96 )

Hence , the equations are solved

To learn more about equations click :

https://brainly.com/question/19297665

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