3 years ago

In the diagram, |BE| = |EA| and ∠EAC = 30°. Find the following angles.

1 answer:

7 0

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In a circle, a 90 degree sector has area of 36pi ftsqd. what is the radius of the circle?

lukranit [14]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =90\\
A=36\pi 
\end{cases}\implies 36\pi =\cfrac{90\pi r^2}{360}
\\\\\\
\cfrac{36\pi }{90\pi }=\cfrac{r^2}{360}\implies \cfrac{2}{5}=\cfrac{r^2}{360}\implies \cfrac{360\cdot 2}{5}=r^2\implies 144=r^2
\\\\\\
\sqrt{144}=r\implies 12=r$

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4 years ago

Which undefined terms are needed to define parallel lines

Alexandra [31]

Parallel lines are coplanar lines that do not intersect

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3 years ago

Can someone simplify these? (3x^2)3x^2 and (3x^3)^2(x^2) I'd really appreciate it.

Ira Lisetskai [31]

(3x^2)3x^2= 9x^4

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3 years ago

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There are 7 boxes stacked on the floor in the math department supply closet. Each box has a height of 10 inches or 8 inches. The

Orlov [11]

Answer:

5 of the 7 boxes are 8 inches in height

Step-by-step explanation:

Mathematically;

1 ft = 12 inches

So, 5 ft will measure 5 * 12 = 60 inches

So from what we have ,

We want to combine 8 and 10 inches to give 60 inches total

Let the number of 10 inches be x and the number of 8 inches be y

Mathematically;

x + y = 7 •••••(i)

10x + 8y = 60 ••••(ii)

From equation i, x = 7-y

Put this in equation ii

10(7-y) + 8y = 60

70-10y + 8y = 60

70-60 = 10y-8y

2y = 10

y = 10/2

y = 5

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3 years ago

Clair went shopping for school clothes.If the items cost $150 and he receives a 10% discount,what is the final price of this pur

Illusion [34]

The final price is $135 , because
.10 × 150 = 15
150 - 15 = 135

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3 years ago