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2 years ago

Find the length of the missing side please help

Mathematics

1 answer:

kozerog [31]2 years ago

7 0

Step-by-step explanation:

7. Since they are similar triangles we have:

$\frac{10}{8} = \frac{x}{12} \\ \\ x = 15$

So DF is 15

8. They are also similar. So:

$\frac{14}{7} = \frac{x}{5} \\ x = 10$

So PR is 10

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

7 0

3 years ago

Describe how the point-slope formula is useful when writing the equation of a trend line

Hitman42 [59]

Answer:

Trend lines are lines used to approximate the general shape of a scatter plot. A positive trend line tells us the scatter plot has a positive correlation. A negative trend line tells us the scatter plot has a negative correlation.

5 0

3 years ago

Please feel free to help if not i can figure it out, thank you.

Vika [28.1K]

Answer:

A makes the most sence cbwt

Step-by-step explanation:

8 0

2 years ago

Josephina likes the service she received at her favorite cafe and wants to leave a 20% tip. Her bill is $22.58. What tip should

aleksandrvk [35]

To get the result we have to find 20% of 22.58.
First we have convert 20% into decimal.
20% its 0.20
Finally we can multiply 0.2 and 22.58.
0.2*22.58=4.516 - its the answer

4 0

3 years ago

If you mix butter (1) and syrup (1 2/3) what is it all together

Darya [45]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

Let's see...

Step-by-step explanation:

The keywords here are:

mix
all together

These words mean to <em>add</em> in mathematical terms

So, that being said, what is the problem?

--> We must add the butter and syrup together

<h3 />

$1 + 1\frac{2}{3} = ?$

$1 + 1\frac{2}{3} = 2\frac{2}{3}$

<h3>Your answer is $2\frac{2}{3}$ .</h3>

I hope this helps!

- sincerelynini

8 0

3 years ago