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3 years ago

Complete the table.

Mathematics

1 answer:

ElenaW [278]3 years ago

6 0

Answer:

a = 1/2

b = 1

c = 3/2

d = 1

e= 0

f = -1

Step-by-step explanation: right on edg

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You are standing 60 feet from the base of a 20-foot tall flagpole. What is 1

Rasek [7]

Answer: The angle of elevation is 18.4 degrees (Approximately)

Step-by-step explanation: Please refer to the picture attached for more details.

The pole from top to bottom is 20 feet tall and is depicted as line FB. An observer is standing at a distance of 20 feet from the base of the pole, and that is depicted as line BA. The observer who is at point A looks up to the top of the flagpole at an angle of elevation shown as angle A.

Using angle A as the reference angle, line FB which is 20 feet would be the opposite (facing the reference angle), while line BA which is 60 feet would be the adjacent (that lies between the right angle and the reference angle).

Therefore, to calculate angle A;

Tan A = Opposite/Adjacent

Tan A = 20/60

Tan A = 1/3

Tan A = 0.3333

Checking with your calculator or table of values,

A = 18.4349°

Rounded to the nearest tenth,

A ≈ 18.4°

5 0

3 years ago

What is the measurement of the smaller angle

kondor19780726 [428]

Answer:

IS 60 DEGRES

Step-by-step explanation:

U TIMES THE ANGLE

8 0

2 years ago

Read 2 more answers

10 + (2 x 3)2 ÷ 4 × 1 over 2 to the power of 3

Zielflug [23.3K]

Answer:

1.4375

Step-by-step explanation:

$\frac{10 + (2 x 3)^{2} / (4)(1)}{2^{3}} \\$

$\frac{10 + (6)^{2} /4}{8} \\$

$\frac{10 + 36 / 4}{8} \\$

$\frac{46 /4}{8} \\$ = $\frac{11.5}{8} \\$

7 0

2 years ago

Solve the following question

White raven [17]

Answer:

g) $u^{4}\cdot v^{-1}\cdot z^{3}$ , h) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$

Step-by-step explanation:

We proceed to solve each equation by algebraic means:

g) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$

1) $\frac{u^{5}\cdot v}{z}\div \frac{u\cdot v^{2}}{z^{4}}$ Given

2) $\frac{\frac{u^{5}\cdot v}{z} }{\frac{u\cdot v^{2}}{z^{4}} }$ Definition of division

3) $\frac{u^{5}\cdot v\cdot z^{4}}{u\cdot v^{2}\cdot z}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\left(\frac{u^{5}}{u} \right)\cdot \left(\frac{v}{v^{2}} \right)\cdot \left(\frac{z^{4}}{z} \right)$ Associative property

5) $u^{4}\cdot v^{-1}\cdot z^{3}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ /Result

h) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$

1) $\frac{x^{2}-16}{x^{2}-10\cdot x + 25} \div \frac{3\cdot x - 12}{x^{2}-3\cdot x -10}$ Given

2) $\frac{\frac{x^{2}-16}{x^{2}-10\cdot x+25} }{\frac{3\cdot x - 12}{x^{2}-3\cdot x - 10} }$ Definition of division

3) $\frac{(x^{2}-16)\cdot (x^{2}-3\cdot x -10)}{(x^{2}-10\cdot x + 25)\cdot (3\cdot x - 12)}$ $\frac{\frac{a}{b} }{\frac{c}{d} } = \frac{a\cdot d}{b\cdot c}$

4) $\frac{(x+4)\cdot (x-4)\cdot (x-5)\cdot (x+2)}{3\cdot (x-5)^{2}\cdot (x-4) }$ Factorization/Distributive property

5) $\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right]$ Modulative and commutative properties/Associative property

6) $\frac{(x+4)\cdot (x+2)}{3\cdot (x-5)}$ $\frac{a^{m}}{a^{n}} = a^{m-n}$ / $\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}$ /Definition of division/Result

3 0

3 years ago

Kevin is 150.5 centimeters tall. His older brother, Darrell is 1.2 times as tall as him.

artcher [175]

You just have to multiply 150.5 times 1.2 and you get 180.6

6 0

3 years ago