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muminat
3 years ago
12

Please help if you know, thanks!

Mathematics
1 answer:
jonny [76]3 years ago
3 0
The number of 8th grade students have dropped by 25% this year
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I need help with this!
sertanlavr [38]

Answer:

67 degrees

Step-by-step explanation:

first find angle abc by subtracting 68 from 101 == 33

then add it to half of 68 (34) to get angle abe

we know it is half because if there is a bisector, both angles cbe and ebd are equal

8 0
3 years ago
Read 2 more answers
Given: ∆ABC, m∠C = 90° CB = 8, m∠B = 38º Find the area of a circumscribed circle. Find the area of the inscribed circle.
vitfil [10]

Answer:

Circumscribed circle: Around 80.95

Inscribed circle: Around 3.298

Step-by-step explanation:

Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

\cos 38= \dfrac{8}{AB} \\\\\\AB=\dfrac{8}{\cos 38}\approx 10.152

To find the area of the circumscribed circle:

r=\dfrac{AB}{2}\approx 5.076 \\\\\\A=\pi r^2\approx 80.95

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

AC=\sqrt{10.152^2-8^2}\approx 6.25

The area of the triangle is:

A=\dfrac{bh}{2}=\dfrac{8\cdot 6.25}{2}=25

The semiperimeter of the triangle is:

\dfrac{10.152+6.25+8}{2}\approx 24.4

The radius of the circle is therefore \dfrac{25}{24.4}\approx 1.025

The area of the inscribed circle then is \pi\cdot (1.025)^2\approx 3.298.

Hope this helps!

6 0
3 years ago
Evaluate Ic2 + b2l, given a = 5, b = -3, and c= -2.
LenKa [72]

Answer:

Ic² + b²l = 13 units.

Step-by-step explanation:

We have to evaluate the expression Ic² + b²l with unknowns b and c and having the values of b and c respectively - 3 and - 2.

Now, Ic² + b²l

= I(- 2)² + (- 3)²l {Putting the values of b and c}

= I4 + 9l  

= I13l

= 13 units.

Therefore, Ic² + b²l = 13 units. (Answer)

5 0
3 years ago
What is 4 1/3 divided by 10 1/5
vladimir2022 [97]
I got 65/153 since you actually multiply by the reciprocal of the second fraction.
6 0
3 years ago
Estimate: 9,210 - 88<br> A)9100<br> B)8900<br> C)9000<br> D)9200
Romashka [77]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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