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3 years ago

Find the unknown angle in the following figuresPlease explain in step by step.

Mathematics

1 answer:

Sergio039 [100]3 years ago

8 0

Answer:

130°

Step-by-step explanation:

the opposite angle just like in the diagram will always be the same value

then you must know that total angle in triangle must be 180° so the balance angle each 50° bcuz when the length is the same, the angle should be the same too.

to find X , 180-50=130

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You want to install a 2 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the

GrogVix [38]

Answer:

157 square yards.

Step-by-step explanation:

Given:

Width of walk around a circular swimming pool = 2 yard

The diameter of the pool = 23 yard

Question asked:

What is the area of the walk ?

Solution:

<em>To find area of walk, we will first calculate area of the pool and then combined area of pool and walk then after we will subtract the area of pool from combined area.</em>

The diameter of the pool = 23 yard

Radius of the pool = $\frac{diameter }{2}=\frac{23}{2} =11.5\ yard$

$Area\ of\ circle=\pi r^{2}$

$=3.14\times(11.5)^{2} \\=3.14\times11.5\times11.5=415.265\ square\ yard$

<u>As width of walk around a circular swimming pool is 2 yard :</u>

New radius will be = 11.5 + 2 = 13.5 yard

$Combined\ area =\pi r^{2} \\$

$=3.14\times13.5\times13.5=572.265\ square\ yard$

Now, area of the walk = Combined area of pool and walk - Area of the pool

= 572.265 - 415.265

= 157 square yards

Therefore, area of the walk is 157 square yards.

4 0

3 years ago

Read 2 more answers

If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a

Crank

Answer:

$m_2 = -\frac{3}{4}$ -- (a)

$m_2 = -\frac{7}{3}$ -- (b)

$m_2 = -\frac{1}{4}$ --- (c)

$m_2 = -3$ -- (d)

Step-by-step explanation:

Given

$a.\ m = \frac{4}{3}$

$b.\ m = \frac{3}{7}$

$c.\ m = 4$

$d.\ m = \frac{1}{3}$

Required

Determine the slope of a perpendicular line

In geometry, the condition for perpendicularity is:

$m_2 = -\frac{1}{m}$

This formula will be applied in solving these questions.

$a.\ m = \frac{4}{3}$

$m_2 = -\frac{1}{m}$

Substitute 4/3 for m

$m_2 = -\frac{1}{4/3}$

Express as a proper division

$m_2 = -1/ \frac{4}{3}$

Convert to *

$m_2 = -1* \frac{3}{4}$

$m_2 = -\frac{3}{4}$

$b.\ m = \frac{3}{7}$

$m_2 = -\frac{1}{m}$

Substitute 3/7 for m

$m_2 = -\frac{1}{3/7}$

Express as a proper division

$m_2 = -1/ \frac{3}{7}$

Convert to *

$m_2 = -1* \frac{7}{3}$

$m_2 = -\frac{7}{3}$

$c.\ m = 4$

$m_2 = -\frac{1}{m}$

Substitute 4 for m

$m_2 = -\frac{1}{4}$

$d.\ m = \frac{1}{3}$

$m_2 = -\frac{1}{m}$

Substitute 1/3 for m

$m_2 = -\frac{1}{1/3}$

Express as a proper division

$m_2 = -1/ \frac{1}{3}$

Convert to *

$m_2 = -1* \frac{3}{1}$

$m_2 = -\frac{3}{1}$

$m_2 = -3$

4 0

3 years ago

For each hour he babysit,Anderson earns 1$ more than half of carey's hourly rate.Anderson earns 6$ per hour. wich equation can b

Lena [83]

Answer:

The expression to find Carey's hourly rate is: $c = 2*a - 2$ . Carey's hourly rate is $10.

Step-by-step explanation:

Anderson receives 1 more than half of carey's hourly rate. If we call Anderson's rate by "a" and Carey's by "c", we can express this phrase in the following equation:

$a = \frac{c}{2} + 1$