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Liula [17]
3 years ago
7

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

Mathematics
1 answer:
nika2105 [10]3 years ago
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}

so

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}

so

\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}

so

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.

8 0
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<br> (a+b)^2?<br> A. 10<br> B. 12<br> C. 14<br> D. 16
wlad13 [49]

Answer:

14

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

14

5 0
3 years ago
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