8(3+4-1)+2 to the 2 power. I need help

Mathematics

1 answer:

Travka [436]3 years ago

4 0

Answer:

2500

Step-by-step explanation:

[8*(3+4-1)+2]^2

First calculate the number inside the round parenthesis as this operation as priority:

3+4-1=6

Then multiply this by 8 because now the multiplication has the highest priority:

8*6=48

Now you can add the 2 to the number you got:

48+2=50

Finally square the number obtained to get the answer:

50^2= 2500

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In the square pyramid shown below, the area of each triangle is 135 square meters and the area of the base is 324 square meters.

stepan [7]

Area of square base = 324 m²

Length of the square side = √324 = 18

The side of the square is the base of the triangle.

Area of triangle = (1/2)*base* height

135 = (1/2)*18* h

135 = 9h

135/9 = h

15 = h

height = 15 m

To get the height of the Pyramid, the height of the Triangle and half the length of the side of the square form a right angled triangle.

Hypotenus = 15
Half length of square = 18/2 = 9
Height of Pyramid = H

By Pythagoras' Theorem:

15² = H² + 9²

225 =H² + 81

H² + 81 = 225

H² = 225 - 81

H² = 144 Take square root of both sides

H = √144

H = 12

Height = 12 meters.

Option C.

3 0

3 years ago

Can someone please help me

Marrrta [24]

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

<h3>How to find the value of a trigonometric function</h3>

Herein we must make use of trigonometric expressions and properties of trigonometric functions to find the right value. According to trigonometry, both cosine and sine are negative in the third quadrant. Thus, by using the fundamental trigonometric expression (sin² α + cos² α = 1) and substituting all known terms we find that:

$\sin \theta = -\sqrt{1 - \cos^{2}\theta}$

$\sin \theta = - \sqrt{1 - \left(-\frac{13}{30} \right)^{2}}$

sin θ ≈ - √731 / 30

Based on the knowledge of trigonometric expressions and properties of trigonometric functions, the value of the sine function is equal to - √731 / 30.

To learn more on trigonometric functions: brainly.com/question/6904750

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2 years ago

Write the equation of a sine or cosine function to describe the graph.

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Answer:

$y = 3 \sin(2\pi \: x) + 3$