What is 13.48 rounded to the nearest 10th

An isosceles triangle ABC with the base BC is inscribed into a circle. Find the measure of angles of it, if measure of arc BC=10

zzz [600]

Answer:

The measures of the angles of ΔABC are

m∠A = 51° , m∠B = 64.5 , m∠C = 64.5°

Step-by-step explanation:

* Lets revise some facts in the circle

- The measure of the circle is 360°

- Equal chords intercept equal arcs

- The measure of an inscribed angle equals half the measure

of the intercepted arc

* Lets solve the problem

- ΔABC is isosceles withe base BC

∴ AB = AC

- The vertex angle is A

∵ ∠A is an inscribed angle subtended by arc BC

∴ m∠A = 1/2 the measure of arc BC

∵ The measure of arc BC = 102° ⇒ given

∴ m∠A = 1/2(102) = 51°

- In ΔABC

∵ AB = AC ⇒ proved

∴ m∠B = m∠C ⇒ base angles of isosceles Δ

- The sum of the interior angles in any Δ = 180°

∵ m∠A = 51 ⇒ proved

∴ m∠B = m∠C = (180 - 51) ÷ 2 = 129 ÷ 2 = 64.5°

* The measures of the angles of ΔABC are

m∠A = 51° , m∠B = 64.5° , m∠C = 64.5°

5 0

3 years ago

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Which percent is equivalent to 0.3? A. 0.003% B. 0.03% C. 3% D. 30%

Kitty [74]

Answer:

D, 30%

Step-by-step explanation:

you move the decimal point twice to the right

8 0

3 years ago

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To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

tatiyna

Answer:

B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

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The answer choices suggest you want ...

4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

$4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8$

_____

Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

4 0

3 years ago

The box-and-whisker plot summarizes student scores on a physical fitness test. Students receive an award for scores at or above

Lena [83]

Answer:

74

Step-by-step explanation:

To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.

4 0

3 years ago

Which fraction is in simplest form? A) 6/8 B) 7/12 C) 5/9 D) 3/51

andreyandreev [35.5K]

I believe C. 5/9 is correct

4 0

3 years ago

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