4. If the area of a semi-circle is 100.48 square inches, what is the radius
of the circle ? *
A) 16 inches
B) 8 inches
C) 4 inches
D) 2 inches

Answer:

A

Step-by-step explanation:

[tex]a^x = b \\log_a(b) = x[/tex]

Answer: x=4

Step-by-step explanation:

similar triangle so corresponding parts are similar

[tex]\frac{5}{10} = \frac{2x-1}{14}[/tex]

cross multiply

70 = 20x-10

80 = 20x

x = 4

Answer:

b

Step-by-step explanation:

BRAINIEST PLLLLLLSSSSSS

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

Learn more about Tangent and secant here

https://brainly.com/question/15178974

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Answer:

B, 17

Step-by-step explanation:

The 17 is the middle number when ordered from least to greatest. Therefore, it is the median.

Answer:

(2/3*6a) + (2/3*9) = 20.4

a=3.6

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

since all angles add up to 180

and since this is a right triangle the square in the corner is 90 degrees

so 40+90+x=180

130+x=180

subtract 130 from both sides

130-130+x=180-130

x=50

Hope that helps :)

Answer:

I have no idea , but it is a obtuse / 190 degree angle

Hmmm.... i think its 180 OR 185

Step-by-step explanation:

Answer:

$36991

Step-by-step explanation:

C = 2.32N + 34180

120000 = 2.32N + 34180

85820 = 2.32N

N = 85820/2.32

N = 36991

Answer: $36991

Answer:

36.54

Step-by-step explanation:

that's what it is so just do like 36-37

Answer:

45% of 81.2 is 36.54

Step-by-step explanation:

Answer:

[tex]y = x[/tex]

Step-by-step explanation:

Given

[tex]A =(6,3.7)[/tex]

[tex]B = (5.4,2)[/tex]

[tex]C = (1,3)[/tex]

[tex]A' = (3.7, 6)[/tex]

[tex]B' = (2, 5.4)[/tex]

[tex]C' = (3, 1)[/tex]

Required

The equation for the line of reflection

Taking points A and A' as a point of reference:

[tex]A =(6,3.7)[/tex] and [tex]A' = (3.7, 6)[/tex]

First, calculate the midpoint (M)

[tex]M = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})[/tex]

[tex]M = (\frac{3.7+6}{2},\frac{6+3.7}{2})[/tex]

[tex]M = (\frac{9.7}{2},\frac{9.7}{2})[/tex]

[tex]M = (4.85, 4.85)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 3.7}{3.7 - 6}[/tex]

[tex]m = \frac{2.3}{-2.3}[/tex]

[tex]m = -1[/tex]

The midpoint of a reflection is always perpendicular to the points being reflected.

So, the slope of [tex]M = (4.85, 4.85)[/tex] is:

[tex]m_2 = -\frac{1}{m}[/tex]

[tex]m_2 = -\frac{1}{-1}[/tex]

[tex]m_2 = 1[/tex]

The equation is then calculated as:

[tex]y = m_2(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (4.85,4.85)[/tex]

[tex]y = 1(x - 4.85) + 4.85[/tex]

[tex]y = x - 4.85 + 4.85[/tex]

[tex]y = x[/tex]

Hence, the equation of line of reflection is:

[tex]y = x[/tex]

Answer:

c

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

12*7 = 84

Answer:

84

Step-by-step explanation: 12*7 = 84

Answer:

x plus 4 divided by 5 minus 9

x + 4 / 5 - 9

Answer:

it's ok no problem take care

Answer:

C) $3750

Step-by-step explanation:

We can start by calculating the down payment. To do this we can just simply calculate 25% of 3000, which equals 0.25*3000=7500. Now we can find out how much money it will cost to pay not including the down payment. $125 monthly for 2 years= $125 monthly for 24 months= 125*24= $3000. Finally we add the downpayment and the total cost of monthly payment to get $7500+$3000=$3750.

Answer:

Step-by-step explanation:

25% of $25 = 0.25×$25 = $6.25

½ of $25 = ½×$25 = $12.50

$25 - $6.25 - $12.50 - $6 = $0.25

Answer:28.7 minutes

Step-by-step explanation:

Answer:

x is infinite

Step-by-step explanation:

-6x+7=2x+10-8x-3

reduce:

-6x+7=7-6x

7-6x = 7-6x

x = x

x is infinite

Answer:

what they said ^^

Step-by-step explanation:

I did this so no one puts the incorrect answer

Answer:

b) Reflection over y = -2

Step-by-step explanation:

Reflection over y = -2

Answer:

i can.

Step-by-step explanation:

Answer:

a is greater than -2

Step-by-step explanation:

Solving a comparison like this is the same as solving an equation, except you need to watch out for the signs of numbers.

Given:

-2a - 12 < -8

The first thing we need to do here is to add 12 to both sides:

-2a - 12 + 12 < -8 + 12

-2a < 4

You'll notice we're just increasing both sides, so the relationship stays the same.

Now we divide both sides by -2.  Because the number is negative, it changes whether the result is greater or less.

-2a < 4

-2a ÷ -2 > 4 ÷ -2

a > -2

Giving us our final answer.

Answer: 30

Step-by-step explanation:

1. Use the Pythagorean theorem ([tex]A^{2} +B^{2} = C^{2}[/tex])

[tex]18^{2} +24^{2} =C^{2} \\324 + 576 = C^{2} \\900 = C^{2} \\\sqrt{900} = \sqrt{C^{2} } \\30 = C\\[/tex]

Step-by-step explanation:

so in this case, you use the pythagoras theorem:

since we don't have a hypotenuse, let's name is H

soo it will be

H= 18 squared + 24 squared

H = 324+ 576

H= 900

so you find the square root of 900 which is 30

so, therefore the answer is 30

Answer:

just 30 x 1?

Step-by-step explanation: its 30 anything times 1 is the same answer it is multipled by!

Answer:

30

Step-by-step explanation:

Answer:

Step-by-step explanation:

4π/3 radians. Triangle A B C has angles labeled as follows: A, (101x + 2) degrees; B, 34x degrees; C, unlabeled. The measure of ∠BCD is 120°. )

Answer:

Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.

[tex] \\ [/tex]

9514 1404 393

Answer:

  53/99

Step-by-step explanation:

When an n-digit repeat begins at the decimal point, the repeating digits can be placed over an equal number of 9s to make a fraction. Sometimes, that fraction can be reduced to lower terms.

  [tex]0.\overline{53}=\boxed{\dfrac{53}{99}}[/tex]

__

If the repeat does not start at the decimal point, the conversion can be done as follows.

For a number x with a decimal fraction that has n digits repeating, multiply by 10^n, subtract x and then divide by (10^n -1).

The fraction will be ...

  (x·10^n -x)/(10^n -1) . . . where x has n repeating digits in the decimal fraction

Here, that looks like ...

  [tex]x=0.\overline{53}\\100x=53.\overline{53}\\100x-x=53.\overline{53}-0.\overline{53}=53\\99x=53\\x=\dfrac{53}{99}[/tex]

Given:

The radius of the fishing bobber = 0.5 inch.

To find:

The volume of the find bobber.

Solution:

We know that the shape of fishing bobber is a sphere.

The volume of a sphere is:

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Substitute r=0.5 and [tex]\pi=3.14[/tex] to find the volume of the fishing bobber.

[tex]V=\dfrac{4}{3}(3.14)(0.5)^3[/tex]

[tex]V=\dfrac{4}{3}(3.14)(0.125)[/tex]

[tex]V=0.52333...[/tex]

Approx the value to the nearest tenth.

[tex]V\approx 0.5[/tex]

Therefore, the volume of the fishing bobber is 0.5 cubic inches.