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skelet666 [1.2K]
3 years ago
8

What is the answer. Please do NOT send me a link. I am severely struggling with this question.

Mathematics
1 answer:
hammer [34]3 years ago
4 0

Answer:

360 ft²

³

Step-by-step explanation:

The volume of the rectangular pyramid is calculated as

V = \frac{1}{3} Ah ( A is the area of the base and h the perpendicular height )

Here A = 10 × 6 = 60 ft² and h = 6 , then

V = \frac{1}{3} × 60 × 6 = 20 × 6 = 120 ft³

The volume of the rectangular prism is calculated as

V = 10 × 6 × 4 = 60 × 4 = 240 ft³

Total volume = 120 + 240 = 360 ft³

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3 years ago
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Calculate the muscular work completed by four men. Four men carry 20 boxes each up a ramp as shown. Each box weighs 5 pounds. Re
Ivahew [28]

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2400 foot pounds

Step-by-step explanation:

6 0
3 years ago
A Grocery store offers a cheese sampler that includes a pepper cheddar cheese that cost $15 per kilogram and Pennsylvania jack t
Len [333]

Answer:

1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.  

Step-by-step explanation:

Pepper Cheddar cheese  = $15 per kilogram

Pennsylvania jack = $11 per kilogram

The cheese sampler includes a  Pepper Cheddar cheese and a Pennsylvania jack that cost $15 per kilogram and $11 per kilogram respectively.

The mixture = 6 kg

Let

a = kg of the pepper cheddar cheese

b = kg of the Pennsylvania jack

a + b = 6............(i)

Rate

15a + 11b/6 = 12

15a + 11b = 72.............(ii)

Combine the equation

a + b = 6............(i)

15a + 11b = 72.............(ii)

a = 6 - b

15(6 - b) + 11b = 72

90 - 15b + 11b = 72

90 - 72 = 15b - 11b

18  = 4b

divide both sides by 4

b = 18/4

b = 4.5 kg

insert the value of b in equation (i)

a + b = 6............(i)

a = 6 - 4.5

a = 1.5 kg  

1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.  

4 0
3 years ago
Calculate the side lengths a and b to two decimal places.
navik [9.2K]

Answer:

D. <em>a</em> = 11.71 and <em>b</em> = 15.56

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Trigonometry</u>

  • All angles in a triangle add up to 180°

<u>Pre-Calculus</u>

  • Law of Sines: \frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}

Step-by-step explanation:

<u>Step 1: Define</u>

AC = b

CB = a

AB = 7

m∠A = 45°

m∠B = 110°

m∠C = ?

<u>Step 2: Find missing ∠</u>

  1. Set up equation:                    m∠C + 45° + 110° = 180°
  2. Combine like terms:              m∠C + 115° = 180°
  3. Isolate unknown:                   m∠C = 25°

<u>Step 3: Find measure of </u><em><u>b</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(110)}{b}
  2. Cross-multiply:             bsin(25)=7sin(110)
  3. Isolate <em>b</em>:                       b=\frac{7sin(110)}{sin(25)}
  4. Evaluate:                       b=15.5645
  5. Round:                          b \approx 15.56

<u>Step 4: Find measure of </u><em><u>a</u></em>

  1. Substitute:                    \frac{sin(25)}{7} =\frac{sin(45)}{a}
  2. Cross-multiply:             asin(25)=7sin(45)
  3. Isolate <em>a</em>:                       a=\frac{7sin(45)}{sin(25)}
  4. Evaluate:                       a=11.7121
  5. Round:                          a \approx 11.71
6 0
3 years ago
What’s two plus two times 9 sixteen times
anastassius [24]

576

Explanation: 2+2 = 4

4x9 = 36

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