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leva [86]
2 years ago
13

Is ABC a right angle? Why or why not?

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
6 0

Answer:

3.Yes, because triangle ABC has a 90 degree angle.

4.No, because triangle XYZ doesn’t have a 90 degree angle.

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For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid
Varvara68 [4.7K]
The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.

Using the Pythagoras rule
Height of triangle = \sqrt{12^{2}+ 5^{2} } =13

Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches

3 0
3 years ago
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Ravi walks 3.5km every day. How far does he walk in 7 days?
kolbaska11 [484]
24.5 you take 3.5 and times it by 7 do get the distance.

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3 years ago
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Help!! Lots of points
murzikaleks [220]

\frac{ {5}^{2} }{ {2}^{2} }  =  {( \frac{5}{2}) }^{2}
Since they are both squared.

Evaluating 5^2 and 2^2 and finding the quotient also works.

\frac{ {5}^{2} }{ {2}^{2} } =  \frac{5 \times 5}{2 \times 2}   =  \frac{25}{4}  = 6.25\\  \frac{ {5}^{2} }{ {2}^{2} }  =  {( \frac{5}{2} )}^{2}  = 2.5 \times 2.5 = 6.25
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.
3 0
3 years ago
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Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

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3 years ago
16. Solve the linear equation.<br><br> 12x– 2 = 2x + 18
tino4ka555 [31]

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago
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