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lutik1710 [3]
2 years ago
10

Tonys backyard is in the shape of a trapezoid the bases of the backyard or 30 feet and 50 feet long area of the backyard is 960

ft.² sold in equation to find the height of Christophers backyard A=12(b1+b2)h
Mathematics
1 answer:
Alexandra [31]2 years ago
4 0

Answer:

24 feets

Step-by-step explanation:

Area of a trapezium :

A=1/2(b1+b2)h

b1 = 30 ; b2 = 50 ; Area, A = 960ft²

Inputting values into the formula :

960 = 1/2(30 + 50) * h

960 = 1/2(80)h

960 * 2 = 80h

1920 = 80h

Divide both sides by 80

1920 / 80 = 80h / 80

24 = h

Height of backyard = 24 feets

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The circle below has center O, and its radius is 4 ft. Given that m ZAOB=50°find the length of the minor arc AB.
exis [7]

Answer:

The length of minor arc AB is \frac{10}{9} π  ft

Step-by-step explanation:

The formula of the length of an arc in a circle is L = \frac{\alpha }{360} × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle

∵ The radius of the circle is 4 ft

∴ r = 4

∵ ∠AOB is a central angle subtended by minor arc AB

∵ m∠AOB = 50°

∴ α = 50°

Substitute the values of r and α in the rule above

∵ L = \frac{50}{360} × 2π(4)

∴ L = \frac{10}{9} π

∴ The length of minor arc AB is \frac{10}{9} π  ft

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3 years ago
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aleksandrvk [35]

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Step-by-step explanation:

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4 0
2 years ago
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coldgirl [10]

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3 years ago
Jeremy's score was 1.75 standard deviations above the mean. which kf thr following is closest to his percentile rank
Gelneren [198K]
The answer is 96%.

Explanation:
It is generally presumed that the scores are normally distributed.

1) You are given how many standard deviations from the mean Jeremy's score is. This is exactly the definition of the z-score. Therefore z = 1.75

2) Look at a left-tail z-table in order to find the area of the normal curve on the left of your z-score (see picture attached). A = 0.9599

3) Multiply the area by 100 in order to find the percentile:
<span>0.9599 </span>× 100 = 95.99
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Hence, the answer is 96%.

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