The following house is called an A-frame house because it looks like the letter A from the front.



Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards.

What is the area covered by the roof? [Type your answer as a number. Do not round.]

__ square yards

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

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

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

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

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Answer:

4

Step-by-step explanation:

2/5*3000 = 1200 seniors

then

3000 - 1200 = 1800 students not seniors

therefore

4/5* 1200 = 960 do not like rock climbing

and

9/10** 1800 = 1620 also do not like it:

"how many students are in favor of this idea?"

subtract the "don't likes" from 3000

3000 - (960+1620) = 420 like rock climbing:

3x-x+2=4

Step-by-step explanation:

here's the answer to your question

Here, all we need to do is subtitute w = 2 and x = 2 into the expression, by multiplying and adding. First, we will muliply 9w:

9w

9 · w =

9 · 2 =

18

Now, all we have to do is use our answer for 9w, and subtract x from it:

9w - x

18 - (2) =

18 - 2 =

16

So, our answer is 16.

Let me know if you have any other questions! :)

Answer:

10.52

Step-by-step explanation

Answer:

-2<x<1

Step-by-step explanation:

-5 < 8x + 11 < 19

Subtract 11 from all sides

-5-11 < 8x + 11-11 < 19-11

-16 < 8x<8

Divide by 8

-16/8 < 8x/8 <8/8

-2<x<1

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

Answer:

This is called system of equations.

Step-by-step explanation:

This combines two equations and then lines them up to a system.

Answer:

Step-by-step explanation:

  matrix

     or

vector geometry

Answer:

Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base

Answer:

The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

Answer:

72.35%

Step-by-step explanation:

246/340 = .723529

Just multiply it by 100 to get the percentage

.723529 x 100 = 72.3529

Answer:

All whole numbers are rational numbers.

False

All integers are whole numbers.

True

There are integers that are not rational numbers.

True

There are whole numbers that are not integers.

True.

Answer:

6/15

Step-by-step explanation:

add all the marbles up and you get 15

6 green ones out of 15 marbles

Answer:

2/5

Step-by-step explanation:

6 green+5 red+4 blue = 15 marbles

P(green) = number of green/ total

              = 6/15 = 2/5

Step-by-step explanation:

1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n

make the 3rd term an improper fraction

1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n

multiply equation by 30, cancel the denominators, resulting in:

6n + 6(51) = 6(152) - 5n

6n + 306 = 912 - 5n

6n + 5n = 912 - 306

11n = 606 is the number

n = 606/11

n = 55 1/11

Answer:

68

Step-by-step explanation:

let unknown number be x

⅕x + 5½= 30⅖ - ⅙x

⅕x + 11/2= 152/5 - ⅙x

collect like terms

⅕x+⅙x= 152/5 - 11/2

[tex] \frac{11}{30}x = \frac{249}{10} [/tex]

cross multiply

30 * 249=(11 * 10)x

7470=110x

x=7470/110

x= 68

Answer: 1232 pieces

Work Shown:

1 bag = 7 apples

22 bags = 22*7 = 154 apples

So we have 154 apples to work with in total.

Each of those apples is cut into 8 pieces, giving us 8*154 = 1232 pieces

We can write it as one single calculation to say 22*7*8 = 1232

Answer:

shift of 6 units left

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

f(x) = 3 | x + 6 | + 9

Represents a horizontal shift of the parent function 6 units left

Answer:

A. 13

Step-by-step explanation:

2(x - 3) + 3y

2(5 - 3) + 3×3

2× 2 + 3×3

4 + 9

13

Answer:

The correct answer is A

Step-by-step explanation:

2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)

next,

you would solve it

2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3

finally you solve it

10-6 = 4 +9

= 13!

Answer:

The missing letter is ( J )

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

Answer:

50

Step-by-step explanation:

= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5

= 3^3 + (12) + 2^2 + (3 + 2)^5

= 3^3 + 12 + 2^2 + (5)^5

= 9 + 12 + 2^2 + 5^5

= 9 + 12 + 4 + 5^5

= 9 + 12 + 4 + 25

= 50

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

answer =

=3a²-16ab+13b²

=3a²-(13+3)ab+13b²

=3a²-13ab-3ab+13b²

=a(3a-13b)-b(3a-b)

=(3a-13b)(a-b)

Answer:

even I got confused in question no. j

no worry rest all are solved .

all the questions are solved by middle term splitting method .

Answer:

Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky

Step-by-step explanation:

Answer:

452.16 cm²

Step-by-step explanation:

Given :-

To find :-

Solution :-

As we know that ,

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Answer:

9.89949 or 9.9

Step-by-step explanation:

7^2 + 7^2 = c^2

49+49=98

square root of 98 = 9.89949

Answer:

a open and close switch and a condentation out put.

Answer:

13

Step-by-step explanation:

f(x)= -4x + 5

Let x = -2

f(-2) = -4(-2) +5

      = 8+5

     = 13

Step-by-step explanation:

x = - 2

f ( x ) = - 4x + 5

f ( - 2 )

= - 4 ( - 2 ) + 5

= 8 + 5

= 13