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3 years ago

Approximately how many times as large was the world population as the United States population in

Mathematics

1 answer:

stealth61 [152]3 years ago

7 0

Answer: 20

Step-by-step explanation:

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Need help with this one

levacccp [35]

Answer:

Step-by-step explanation:

B + 87 +78 +66 = 360

B = 129 °

the angle next to B then is

180 = 129 + b '

51 ° = b '

A + 61 + b ' = 180

A = 68 °

4 0

3 years ago

Solve the exponential equation: 4x – 2 = 2x

qaws [65]

Answer:

(c)

Step-by-step explanation:

4 x 2 equals 8 8 -2 equals 6 6 4 24

5 0

3 years ago

The floor of Cara's living room is 10 feet by 14 feet. What is the area, in square feet, of the largest circular rug that can fi

Rus_ich [418]

Answer:

$78.5\ ft^{2}$

Step-by-step explanation:

we know that

If the floor of Cara's living room is 10 feet by 14 feet

then

the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet

<em>Find the area of the circular rug</em>

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi=3.14$

substitute the values

$A=(3.14)(5)^{2}=78.5\ ft^{2}$

3 0

3 years ago

Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.

Dmitry [639]

Note that
$\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}$

Note that
$x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }$

Use the identity
$tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

Therefore
$tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} = \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )} = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}$

Answer: 2 + √3

8 0

3 years ago

Mr. Lewis designed a circular walkway in

NARA [144]

Answer:

The diameter is equal to the circumference divided by the number pi

Step-by-step explanation:

we know that

The circumference of the circular walkway is equal to

$C=\pi D$