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malfutka [58]
3 years ago
5

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:32 Because the lid of a marker is wider than the marker itself, a set of markers can be p

ackaged in a container that is in the shape of a trapezoid instead of a rectangle. A trapezoid has a base of 12 inches, height of 10 inches, and top side length of 10 inches. A rectangle has a base of 12 inches and height of 10 inches. What is the difference in area between the two packages
Mathematics
2 answers:
tia_tia [17]3 years ago
5 0

Answer:

10 Square Inches

Step-by-step explanation:

<u>Trapezoid</u>

Base =12 inches

Height =10 inches

Top side= 10 inches.

Area of a Trapezoid=\frac{1}{2}(a+b)h, $where a and b are the lengths of the base and top respectively$

=\frac{1}{2}(10+12)*10\\=5*22=110 \:Square\:Inches

Area of the Trapezoid=110 Square Inches

<u>Rectangle</u>

Base = 12 inches

Height =10 inches.

Area of a Rectangle=Base X Height

=12 X 10

=120 Square Inches

<u>Difference in Area between the two packages</u>

Difference=Area of Rectangle-Area of Trapezoid

=120-110

=10 Square Inches

Juli2301 [7.4K]3 years ago
4 0

Answer:

10 Square Inches

Step-by-step explanation:

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Write a fourth grade word problem where the answer is 35.
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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
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The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

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Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

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1 year ago
According to a survey conducted by the U.S. Department of Health and Human Services, about 50% of U.S. adults age 18 and older a
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Using a confidence interval, we have that:

a) The range is from 48.8% to 51.2%.

b) Between 125,000 and 131,000 adults are registered organ donors.

<h3>What is a confidence interval?</h3>

A confidence interval is given by the <u>estimate plus/minus the margin of error</u>.

For this problem, we have that:

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  • The margin of error is of 1.2%.

The bounds of the range are given as follows:

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  • 50% + 1.2% = 51.2%.

Hence the range is from 48.8% to 51.2%.

<h3>What are the total numbers?</h3>

We have to find <u>48.8% and 51.2% of 255,200,373</u>, hence:

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  • 0.512 x 255,200,373 = 130,662,591.

Rounded to hundredth thousand, between 125,000 and 131,000 adults are registered organ donors.

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