Michael draws a scale model of a shed for his engineering class. It is made from a triangular prism on top of a rectangular prism. The volume of the shed is 966 cubic inches. The congruent sides of the triangle are 7.8 inches. A. What is the depth of the shed?

Step-by-step explanation:

step 1. you mean which graph represents the equation y = (1/3)x + 2?

step 2. please provide the graphs - they are missing.

step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.

step 4. the y intercept is 2 so it goes through the point (0, 2).

Step-by-step explanation:

=23.6

[tex]v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} [/tex]

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

Answer:

1.25

Step-by-step explanation:

a = 10 and r = 0.5

The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.

In this case n = 4, since we're looking for the fourth term.

so,

Un = ar^n-1

= ar^4-1

= ar^3

U4 = 10 × 0.5^3

= 10 × 0.125

= 1.25

Answer:

no entiendo ni madred

Step-by-step explanation:

Soy chino

Answer:

C

Step-by-step explanation:

(1, 2) indicates that x=1 and y=2

A:

(2)-(1)=1

3(2)-4(1)≠10

B:

-2(2)+5(1)≠-1

D:

3(2)-(1)≠1

Answer:

x = 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

~Hoped this helped~

Answer:

Step-by-step explanation:

a₄ = a₁ + (4-1)d

4 = -4 + 3d

d = 8/3

a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔

Answer:

y=2x+3

Step-by-step explanation:

the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.

Answer:

16-4x^2

Step-by-step explanation:

u start multiplying them by each other .

4×4= 16

4×2x= 8x

-2x×4= -8x

-2x×2x= -4x^2

now u combine like terms

8x+-8x = 0

16-4x^2

I hope u understood.... lol

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

Answer:The answer is 8

Step-by-step explanation:

Answer:

[tex]y = x + 8[/tex]

Step-by-step explanation:

[tex]x - y = - 8[/tex]

[tex]x + 8 = y[/tex]

Answer:

5x + 3m + 10

Step-by-step explanation:

Remove parentheses:

3m+2+5x+8

Group like terms:

5x + 3m + 2 + 8

Add the numbers 2 + 8=10:

5x + 3m+ 10

Answer:

3m+10+5x

Step-by-step explanation:

look at it without parenthesis might make it easier

3m+2+5x+8

Answer:

453.6, or 453.59237

Step-by-step explanation:

Answer:

28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6

Step-by-step explanation:

First you must convert ounces to grams

Then, you must convert the ounces to pounds

You do this by knowing that 1 oz is 1/16 of a lb

Knowing that 28.35 grams are in 1 oz

You then multiply the 28.35 grams by the 16 oz

Which gives you 453.6 0r 453.60 grams in 1 lb

Answer:

5

Step-by-step explanation:

Answer:

A). (1, 7)

Step-by-step explanation:

-3x – 2y = -17

9x + 2y = 23

____________+

6x = 6

x = 6/6

x = 1

9x + 2y = 23

9(1) + 2y = 23

9 + 2y = 23

2y = 23 - 9

2y = 14

y = 14/2

y = 7

Answer:

C = 55

O = 55

CRA = 64

ORT = 64

T = 61

Answer:

C = 55

O = 55

CRA = 64

ORT = 64

T = 61

Step-by-step explanation:

Answer:

I think it's 8.5m,I wish it is correct.

Step-by-step explanation:

:)I wish it helps.

Answer:

85 is the smallest number

Answer:

The 4 main transformation is a translation, rotation, reflection, dilation.

Step-by-step explanation:

There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.

Answer:

The answer is 3.

Step-by-step explanation:

Answer:

28 inch  or 27.7 inch

other side is 16 inch

Step-by-step explanation:

We double the triangle and find each hypotenuse for two triangles to determine base as equilateral

32^2 = base

To find height we half base and multiply by slant = 32 inches

32/2 = 16 inch

Height = 32^2 - 16^2 = a^2  = sq rt 1024 - sqrt 256 = sq rt 768

a^2 = sq rt 768 = 27.7128129 = 28 inch  or 27.7 inch

figure #1

smaller part

4x7x2= 56m

larger part

4x3x7= 84m

84+56= 140m³

figure #2

smaller part

2x4x3= 24m

larger part

4x4x12= 192m

192+24= 216in³