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2 years ago

Find the area of the shaded segment. Round your answer to the nearest tenth. Please include units in your answer.

Mathematics

1 answer:

RSB [31]2 years ago

6 0

Answer: 56

Step-by-step explanation:

Let's organise our information :

the radius of the circle is r=14 cm
we can get the area of the shaded by substracting the area of that triangle from that quarter

The area of the cercle's quarter area is :

A= 14²×π*(1/4) = 49π cm²

The area of the triangle is :

A=14²*(1/2)=98

NOw the area of the shaded segment :

A=49π-98= 55.98 ≈ 56

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Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

egoroff_w [7]

Answer:

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

$y = 1 -2x$

Rearrange into slope-intercept form:

$y = -2x+1$

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of $\displaystyle\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\displaystyle\frac{1}{2} x+b$

Determine the y-intercept (b):

$y=\displaystyle\frac{1}{2} x+b$

Plug in the given point (1,3) and solve for b:

$3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}$

Therefore, the y-intercept is $\displaystyle \frac{5}{2}$ . Plug this back into $y=\displaystyle\frac{1}{2} x+b$ :

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

I hope this helps!

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2 years ago

The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class.

Tpy6a [65]

Answer:

Step-by-step explanation:

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2 years ago

To get from his house to the lecture hall at school, Lin walked west 651 feet. After class, he walked northeast 910 feet to the

Ahat [919]

The general direction that Lin walked from the gym to his house is; B: Lin walked southwest, creating an obtuse triangle.

<h3>How to interpret distance bearing?</h3>

We are given;

Distance between the lecture hall and gym = 910 feet.

Distance between the gym and Lin apostrophe's house = 615 feet.

Distance between the lecture hall and Lin apostrophe's house = 651 feet.

Now, since this 3 distances form a triangle and the 3 distances are unequal, then we can call it an obtuse triangle since he walked west and then walked northwest.

Now, since he walked back to his house from the gym, we can say that he walked southwest if we picture the bearing of his first two directions.

Read more about Distance Bearing at; brainly.com/question/22719608

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2 years ago

What is the fraction called that is used to convert one unit to another?

Ksenya-84 [330]

Answer:

ratio

Step-by-step explanation:

by using a conversion factor and a fraction, a ratio can be created to convert one unit to another.

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2 years ago

Round each mixed number to the nearest whole number and then estimate the product

AnnZ [28]

3 4/5 rounds to 4
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I hope this helped! :)

3 0

3 years ago