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3 years ago

What is a solid figure with two congruent parallel polygonal bases?

1 answer:

3 0

A solid figure that has two congruent, parallel polygons as its bases would be a prism, and its sides are parallelograms.

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The price of sugar has increased from ₹32 per kg to ₹40 per kg. The percentage increase in the price of sugar is?

densk [106]

Answer:

Step-by-step explanation:

%change=100(final-initial)/(initial)

%change=100(40-32)/32

%change=25%

3 0

3 years ago

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

$XZ=2\ units$

step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

7 0

3 years ago

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danny has a trianglular pyramid all triangles are conguent what is the surface area?the height is 6in and the width is 5in

Gre4nikov [31]

Answer: The answer is 60 square inches.

Step-by-step explanation: Given that Danny has a triangular pyramid where all the four triangles are congruent. The height and base of one triangle are 6 inches and 5 inches respectively. We are to find the surface area of the pyramid.

The area of one triangle is given by

$A=\dfrac{1}{2}\times\textup{base}\times\textup{height}=\dfrac{1}{2}\times 5\times 6=15~\textup{sq. inches}.$

Since the pyramid consists of four congruent triangles, so the surface area of the pyramid will be

$S=4\times A=4\times 15=60~\textup{sq. inches}.$

Thus, the answer is 60 sq. inches.

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3 years ago

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Jonathan spins the spinner 10 times. What is the theoretical probability that it stops on the black sector on the last spin?

gayaneshka [121]

1 over 4. It asks for the last spin only.

7 0

3 years ago

If a^2+b^2= 4 and ab = 5, what is the value of (a+b)^2? A. 10 B. 12 C. 14 D. 16

wlad13 [49]

Answer:

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4 and ab= 5

4 + 2(5)

4+10

5 0

3 years ago

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