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aev [14]
3 years ago
10

Bree made three identical birthday hats out of construction paper. Each was in the shape of a cone. The diameter of each hat was

6.6 inches and the slant height was 8.4 inches. How many square inches of construction paper did Bree need to make the three hats? Use 3.14 for Pi and round your answer to the nearest hundredth. (Recall the formula L A = pi r l) 87.04 in2 174.08 in2 261.12 in2 522.24 in2
Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

(C)261.12 Square Inches

Step-by-step explanation:

The diameter of the Cone Hat = 6.6 inches

Radius = Diameter/2=6.6/2=3.3 Inches

The slant height = 8.4 inches.

To determine how many square inches of construction paper did Bree need to make the three hats, we find the Curved Surface Area of the Cones.

Curved Surface Area of a Cone =\pi r l

Therefore, the area of paper used for the 3 hats

=3 X Area of One Hat

=3 \times \pi r l\\=3 \times 3.14\times 3.3 \times 8.4\\=261.12$ Square Inches

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Liam is making barbecue ribs over a fire. The internal temperature of the ribs when he starts cooking is 40°F. During each hour
Soloha48 [4]

Answer: You need to wait at least 6.4 hours to eat the ribs.

t ≥ 6.4 hours.

Step-by-step explanation:

The initial temperature is 40°F, and it increases by 25% each hour.

This means that during hour 0 the temperature is 40° F

after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:

T = 40° F + 0.25*40° F = 1.25*40° F

after another hour we have another increase of 25%, the temperature now is:

T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2

Now, we can model the temperature at the hour h as:

T(h) = (40°f)*1.25^h

now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.

So we have:

(40°f)*1.25^h = 165° F

1.25^h = 165/40 = 4.125

h = ln(4.125)/ln(1.25)  = 6.4 hours.

then the inequality is:

t ≥ 6.4 hours.

4 0
3 years ago
Nolan and his children went into a grocery store and he bought $8 worth of apples
goldfiish [28.3K]

Nolan and his children bought fruits (Apples and bananas) worth $8.

Cost of each apple and bananas are $2 and $0.40 respectively.

Let the number of bananas he bought = y

And the number of apples = x

Therefore, cost of the apples =$2x

And the cost of bananas = $0.40y

Total cost of 'x' apples and 'y' bananas = $(2x + 0.40y)

Equation representing the total cost of fruits will be,

(2x + 0.40y) = 8

10(2x + 0.40y) = 10(8)

20x + 4y = 80

5x + y = 20 --------(1)

If he bought 5 times as many bananas as apples,

y = 5x ------(2)

Substitute the value of y from equation (2) to equation (1),

5x + 5x = 20

10x = 20

x = 2

Substitute the value of 'x' in equation (2)

y = 5(2)

y = 10

Therefore, Nolan bought 2 apples and 10 bananas.

Learn more,

brainly.com/question/14951851

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3 years ago
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Svetlanka [38]

Answer:

99/130 is an answer for this

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Marina CMI [18]
1.37x10^9 is the correct answer:)
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1/6 (15a + 20b) = <br> distributive properties
valentina_108 [34]

Answer:

\frac{15a+20b}{6}     15a+20b/6

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