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Pie
2 years ago
13

A 5'6" student casts a shadow 6 ft long at the same time a tree casts a 20 ft shadow. How tall is the tree? (Hint: The tree and

its shadow are similar to the student and her shadow
Mathematics
1 answer:
andrew-mc [135]2 years ago
5 0

Answer:

5' 6" = 66 inches

6 feet = 72 inches

shadow to actual height ratio = 72 / 66 = 1.0909...

If the tree casts a 20 foot shadow then its height equals

20 / 1.09090909 = 18.33 feet = 18 feet 4 inches

Step-by-step explanation:

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A circle has a diameter of 26 units. What is the area of the circle to the nearest hundred of a square unit?
Nady [450]

Answer: The area is 530 square units

Step-by-step explanation: The diameter of the circle has been given as 26. That makes the radius 13, that is;

Radius = diameter/2

Radius = 26/2

Radius = 13

The area of a circle is derived by the formula;

Area = pi x r^2

Where pi is 3.14 and r is 13,

Area = (3.14) x 13^2

Area = 3.14 x 169

Area = 530.66

Approximately to the nearest hundred of a square unit,

The area of the circle is 530 square units

5 0
3 years ago
Read 2 more answers
Simplify  ( √ 5 ) ( 3 √ 5 )
Amiraneli [1.4K]

Answer:

5^\frac{5}{6}

Step-by-step explanation:

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5^{\frac{1}{2}}*5^{\frac{1}{3}}

The rule for multiplying two exponents with the same base is you add the exponents. For example: x^m*x^k=x^{m+k}

We can use the same property to get:

5^{\frac{1}{2} +\frac{1}{3}}

which is just 5^\frac{5}{6} after you add the fractions

8 0
3 years ago
Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe
Ivahew [28]

Answer:

y = -2x + 6

Step-by-step explanation:

Given

(x_1,y_1) = (1,4)

(x_2,y_2) = (2,2)

Required

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First, we calculate the slope (m) using

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2-4}{2-1}\\

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The equation is then calculated using:

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y - 4 = -2(x - 1)

Open bracket

y - 4 = -2x + 2

y = -2x + 2 + 4

y = -2x + 6

5 0
2 years ago
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3 years ago
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