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8_murik_8 [283]
2 years ago
13

A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?

Mathematics
2 answers:
sammy [17]2 years ago
4 0

Answer:

Step-by-step explanation:

Any triangle inscribed in a semicircle has one right angle.  Here it's <XYZ.

Dmitry [639]2 years ago
3 0

Answer:

The correct answer is option A.  90°

Step-by-step explanation:

<u>Points to remember</u>

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes  on it.

<u>To find the measure of <XYZ</u>

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

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A cardboard box without a lid is to be made with a volume of 44 ft3. Find the dimensions of the box that requires the least amou
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Answer:

x =  3.53 ft

y - 3.53 ft

z = 3.53 ft

Step-by-step explanation:

given details

volume = 44 ft^3

let cardboard dimension is x and y and height be z

we know that area of given cardboard without lid is given as

A = xy + 2xy + 2yz

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To minimize area we have

A = xy + 2x (44/xy) + 2y(44/xy)

A = xy + (44/y) + (44/x)

we have

Ax = y - \frac{44}{x^2}

0 = yx^2 = 44................1

Ay = x - \frac{44}{y^2}

0 = x - \frac{44}{y^2}

xy^2 = 44 ..............2

from 1 and 2

yx^2 = xy^2

xy(y-x) = 0

xy = 0 or y = x

from geometry of probelem

x ≠ 0 and y ≠ 0

so y = x

x^3 = 44

x =  3.53 ft = y

z = 44/xy = 3.53

6 0
3 years ago
Identify the dividend.<br> 35 ÷ 5 = 7<br> A. 35<br> B. 5<br> C. 7
azamat

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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