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3 years ago

Write an inequality that expresses the range in the volume of acceptable tennis balls.

Mathematics

1 answer:

Rudik [331]3 years ago

4 0

Answer:

the smallest number is the lower bound and the largest number is the upper bound, your inequality would be

8.2 ≤ x ≤ 9.5, where x represents the volume of tennis balls.

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An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating are

Sphinxa [80]

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area... We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

3 0

3 years ago

∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are

son4ous [18]

Answer:

Answer for 2nd is option c, for 3rd is option d, for 4th is option e

Step-by-step explanation:

As we know 1 ft.=12 in.

In ΔABC

∴ The congruent sides are AB and AC respectively

CB =12 ft. 4 in.=148 in.
AB= $\frac{3}{4}$ CB =111 in. =9 ft. 3 in.
AC= $\frac{3}{4}$ CB =111 in. =9 ft. 3 in.

∵ Perimeter of ΔABC =AB+AC+CB

=9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.

=30 ft. 10 in.

2. In ΔDEF

∴ The congruent sides are DE and DF respectively

DE = 6 ft. 3 in. =75 in.
DF = 6 ft. 3 in. =75 in.
Let the length of FE is equal to x
0.75FE =DE =DF
0.75x = 6 ft. 3 in. =75 in.
x =100 in. =8 ft. 4 in.

∵ Perimeter of ΔDEF =DE+DF+FE

= 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.

= 20 ft. 10 in.

3. In ΔJKL

∴ The congruent sides are JL and KL respectively

JK = x+3
KL =4x-17
JL =6x-45
JL≅KL
4x-17 =6x-45 . . . . . . . . . . . . . . . . . . . . . . . (1)
Subracting 4x from both sides from eq 1
-17 =2x-45
Adding 45 on both the sides
28 =2x
Dividing by 2 on both sides
14 =x
JK = 14+3 =17
KL = 4×14-17 =39
JL = 6×14-45 =39

∵ The dimensions of the ΔJKL are 39,39 and 17.

6 0

3 years ago

What is the slope of the line?

Nat2105 [25]

The slope of the line is gonna be 1/3

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2 years ago

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Which is the best first step when solving the following system of equations?

givi [52]

Answer:

Step-by-step explanation:

I took the quiz

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3 years ago

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How much money will be in an account at the end of 7 years if $3000 is deposited at 4% interest compounded 4 times per year?

Greeley [361]

The total will be $6,360.
Hope this helps:)

4 0

3 years ago