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ANEK [815]
2 years ago
13

Mr. drew rides his motorcycle with a constant speed of 72 mi/hr. How far can he travel in 2 ½ hours?

Mathematics
2 answers:
babymother [125]2 years ago
5 0

Answer:

180

Step-by-step explanation:

take 72+72 +36  to get your answer .

r-ruslan [8.4K]2 years ago
4 0

Answer:

180 miles

Step-by-step explanation:

Assuming that the speed of the motorcycle is constant, the following equation, (speed * time = distance) can be used to find the distance that a vehicle traveled when one is given the time and speed at which the vehicle operates. Substitute in these values, and solve,

(72)*(2\frac{1}{2})\\\\= 72 * \frac{5}{2}\\\\= 180

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777dan777 [17]

Answer:

Hi there!

The correct answer is: 20

Step-by-step explanation:

knowing this a right triangle you can solve this problem in two ways

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then plug in the values

(12)^2 + (16)^2 = c^2 this will come out to be 400 = c^2

square root both sides and you get c = 20

Method Two: Pythagorean Identities

if you ever learned the Pythagorean identity 3,4,5

this triangle is indeed a 3,4,5 triangle it's just that each side is multiplied by the factor 4

so in this case since you know the missing side should be 5 you just multiply 5 by 4 and you get 20

 

4 0
3 years ago
A lot for sale is shaped like a trapezoid. The bases of the trapezoid represent the widths of the front and back yards. The widt
Rasek [7]

Answer

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Step-by-step explanation:

1. set up A=1/2 H(b1+b2)

2. 6000=1/2 2x (2x+x)

3. 12000=6x^2

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8 0
3 years ago
Write the expression in complete factored form.
serg [7]

Factor the polynomial.

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plz mark me as brainliest if this helped :)

8 0
2 years ago
14.
Charra [1.4K]

a. The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b. For the cake to have the required dimensions, they should order 1 kg of cake.

a.

The number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

To find the number of square cm paper would be used to make 4 caps, we need to find the area of a cone.

<h3>Area of a cone</h3>

The area of a cone, A = πr² + πr[√(h² + r²)] where

  • r = radius of cone and
  • h = height of cone

Now given that the base circumference of the cone is C = 44 cm. So,

C = 2πr where r = radius of base

So, r = C/2π = 44 cm/2π = 22 cm/3.142 = 7 cm

The height of the cone, h = 24 cm

So, A = πr² + πr[√(h² + r²)]

A = π(7 cm)² + π(7 cm)[√((24 cm)² + (7 cm)²)]

A = π(7 cm)² + π(7 cm)(7)[√((4 cm)² + (1 cm)²)]

A = 49π cm² + 49π cm[√(16 cm² + 1 cm²)]

A = 49π cm² + 49π cm[√(17 cm²)]

A = 49π [1 cm² + 4.123 cm²)]

A = 49π [5.123 cm²)]

A = 251.032π

A = 788.64 cm²

Since the area of one cap is A = 788.64 cm²,

the area of 4 caps is A' = 4A

= 4 × 788.64 cm²

= 3154.56 cm²

So, the number of square cm of paper that would be used to make 4 caps is 3154.56 cm².

b.

For the cake to have the required dimensions, they should order 1 kg of cake.

To find the amount of cake to be ordered, we need to find the volume of a cake since it is the volume of a cylinder.

<h3>Volume of a cylinder</h3>

The volume of a cylinder is V = πd²h/4 where

  • d = diameter of cake = 24 cm and
  • h = height of cake = 14 cm

Substituting the values of the variables into the equation, we have

V = πd²h/4

V = π(24 cm)²(14 cm)/4

V = π(576 cm)²(14 cm)/4

V = 8064π cm³/4

V = 2016π cm³

V = 6333.45 cm³

So the volume of the cake is 6333.45 cm³

Since 650 cm³ equals 100 g, 6333.45 cm³ = 6333.45 cm³ × 100 g/650 cm =  974.4 g = 0.974 kg ≅ 1 kg.

So, for the cake to have the required dimensions, they should order 1 kg of cake.

Learn more about volume of a cake here:

brainly.com/question/27570775

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1 year ago
HELP ME ! What is the value of X
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