Mary wants to get spray foam insulation in her attic space. Shown here is a diagram of her attic - how much spray foam does she need to buy

Answer:

sgehwjwnnwjwjj2629937463u83

Step-by-step explanation:

[tex] \frac{ \sin(81) }{x} = \frac{ \sin(40) }{7} \\ x \times \sin(40) = 7 \times \sin(81) \\ x = \frac{7 \times \sin(81) }{ \sin(40) } = 10.75 = 10.8 \: cm[/tex]

Answer:

x is 10.8 cm

Step-by-step explanation:

from Lami's theorem:

[tex] \frac{7}{ \sin(40 \degree) } = \frac{x}{ \sin(81 \degree) } \\ \\ x = \frac{7 \sin(81 \degree) }{ \sin(40 \degree) } \\ \\ x = 10.8 \: cm[/tex]

Answer:

x = 64°, y = 32°

Step-by-step explanation:

The sum of the angles on a straight line = 180° , then angles on PS are

2x + y + 20 = 180 ( subtract 20 from both sides )

2x + y = 160 → (1)

Angles on QT are

x + 3y + 20 = 180 ( subtract 20 from both sides )

x + 3y = 160 → (2)

Solve (1) and (2) simultaneously

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides

y = 160 - 2x → (3)

Substitute y = 160 - 2x into (2)

x + 3(160 - 2x) = 160 ← distribute and simplify left side

x + 480 - 6x = 160

- 5x + 480 = 160 ( subtract 480 from both sides )

- 5x = - 320 ( divide both sides by - 5 )

x = 64

Substitute x = 64 into (3)

y = 160 - 2(64) = 160 - 128 = 32

Then

x = 64°, y = 32°

Answer:

88,000,000 and 800

Step-by-step explanation:

Answer:1.1×105

Step-by-step explanation:

Step-by-step explanation:

area of the base is the area of the rectangle 5×12.

B = 5×12 = 60 in²

the height h is then the side going up from that base rectangle : 4 in.

the perimeter of the base (rectangle) is 2×length + 2×width

P = 2×12 + 2×5 = 24 + 10 = 34 in.

9514 1404 393

Answer:

  c ≈ 4.69

Step-by-step explanation:

The Law of Cosines is used for the purpose. It tells you ...

  c² = a² +b² -2ab·cos(C)

  c² = 5² +7² -2·5·7·cos(42°) ≈ 21.9799

  c ≈ √21.9799 ≈ 4.688

The measure of side c is about 4.69 units.

Answer:

24+16= 40

24-16=8 if it's wrong, try and make ur question more specific, thanks

Answer:

8 or 40

Step-by-step explanation:

24-16=8

24+16=40

Answer:

hope it help you.........

Answer:

[tex]\boxed {\boxed {\sf y= -1.2 }}[/tex]

Step-by-step explanation:

We are asked to solve the following equation for y.

[tex]-2y-4.2= 1.8 + 3y[/tex]

To solve for y, we have to isolate the variable by performing the inverse operations.  First, move all the terms without a variable or the constants to one side, and the terms with a variable to the other side.

4.2 is being subtracted and the inverse operation of subtraction is addition. Add 4.2 to both sides.

[tex]-2y-4.2 +4.2= 1.8 + 3y+ 4.2[/tex]

[tex]-2y=1.8 + 4.2 + 3y[/tex]

[tex]-2y= 6 + 3y[/tex]

3y is being added and the inverse operation of addition is subtraction. Subtract 3y from both sides.

[tex]-2y-3y= 6+ 3y -3y[/tex]

[tex]-2y-3y= 6[/tex]

[tex]-5y=6[/tex]

y is being multiplied by -5. The inverse operation of multiplication is division. Divide both sides by -5.

[tex]\frac {-5y}{-5}= \frac{6}{-5}[/tex]

[tex]y=- 1.2[/tex]

Check the answer by substituting -1.2 back into the original equation.

[tex]-2 (-1.2)-4.2 = 1.8 + 3(-1.2)[/tex]

[tex]2.4-4.2=1.8 + - 3.6[/tex]

[tex]-1.8 = -1.8[/tex]

This checks out, so we know our answer is correct.

Answer:

585 is the answer of your question.

Step-by-step explanation:

because formula is

Mp _ d% of mp

Answer:

2 real solutions

Step-by-step explanation:

Get all the terms to one side

10n^2 = 10 - 8n

10n^2 +8n -10 =0

ax^2 +bx+c =0

The discriminant is

b^2 -4ac

8^2 - 4(10)(-10)

64 +400

464

If the discriminant is greater than 0 we have 2 real solutions

Answer:

w = 70 cm

A = 5600cm^2

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

300 = 2(l+w)

We know the length is 10 longer than the width

l = w+10

300 = 2(w+10+w)

Divide each side by 2

300/2 = (w+10+w)

150 = (2w+10)

Subtract 10 from each side

150-10 = 2w

140 = 2w

Divide by 2

140/2 = w

70 = w

Now find the area

A = l*w

A = (w+10) * w

   = (70+10) *70

   = 80*70

5600

Its a triangle

[tex]\\ \sf\longmapsto Perimeter=31+18+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=48+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=73cm[/tex]

Its rectangle

[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(15+10)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(25)[/tex]

[tex]\\ \sf\longmapsto Perimeter=50ft[/tex]

Answer:

a and c

Step-by-step explanation:

The perimeter is the sum of the 3 sides, that is

perimeter = 25 + 18 + 31 = 74 cm → a

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

The opposite sides of a rectangle are equal, so

perimeter = (2 × 10) + (2× 15) = 20 + 30 = 50 ft → c

answer:

have any notes for reference?

Step-by-step explanation:

Answer:

s - t = 10 - -7 = 17

Step-by-step explanation:

I only see

s - t

nothing else is there to evaluate (or calculate).

s - t = 10 - -7 = 17 (as a double "-" always turns into a "+").

you really needed help with that ?

Answer:

= s-t

= 10 - (-7)

= 10 + 7

= 17

✌✌✌✌

Answer:

1/4

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

[tex]\frac{x}{x+3} =\frac{5}{2} \\5x+15=2x\\5x-2x=-15\\3x=-15\\x=-15/3=-5[/tex]

Answer:

U in the line x=-2: (-4,0)

U in the line x=-1: (-2-0)

Step-by-step explanation:

...............

Answer:

umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...

Step-by-step explanation:

Answer:

Answer:

The answer is: y = |x| - 2

Answer:

A. The function is Nonlinear.

Answer:

answer

volume= 252 yd^3 .

The determinant is C. -541.

Using a cofactor expansion along the first row:

[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]

Answer:

C(x)=40x+14, 6 days

Step-by-step explanation:

C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.

C(x)=254=40x+14, 40x=240, x=6

Answer:

33

Step-by-step explanation:

HJ = HI + IJ

HJ = 3x - 9, HI = x and IJ = x + 5

So 3x - 9 = x + x + 5

Solve for x

Combine like terms

3x - 9 = 2x + 5

Add 9 to both sides

3x = 2x + 14

Subtract 2x from both sides

x = 14

Find HJ

HJ = 3x - 9

We have found that x = 14

HJ = 3(14) - 9

Multiply 3 and 14

HJ = 42 - 9

Subtract

HJ = 33

Answer:

y = - 1/3x

Step-by-step explanation:

So the equation of a line can be written in the form y= mx+ c

Here y is the value of y in the y axis, x is the value of x in the x axis, m is the gradient ad c is the co-efficient.

We need to find the gradient of the line which is - 1/3.

That makes our equation y = - 1/3x

HOPE THIS HELPED

Answer:

D. 13

Step-by-step explanation:

You just have to plug in numbers then solve.

(1,9) and (1,-4). Every coordinate is placed as (x,y)

(1,9) is labeled as (x1, y1)

(1,-4) is labeled as (x2,y2)

Now plug in the numbers.

d= Square root of (1-1)^2 + (-4-9)^2

d= Square root of 1^2 +-13^2

d= Square root of 1+169

d= Square root of 170

d= 13.04

Rounded to a whole number, the answer is 13

Answer:

D

Step-by-step explanation:

you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9

d=√(x2-x1)²+(y2-y1)²

=√(1-1)²+(-4-9)²

=√(0)²+(-13)²

=√169

=13

I hope this helps

Answer: Try 2. This is my best guess