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Marianna [84]
3 years ago
7

Simplify. 1/4+4(1/2−3/4)^2 Enter your answer in the box.

Mathematics
1 answer:
ale4655 [162]3 years ago
3 0
The Simplest form is \frac{1}{2}


\frac{1}{4} +4(\frac{1}{2} - \frac{3}{4})^{2}   PEMDAS

\frac{1}{4}+4(-\frac{1}{4})^{2}                       Subtract inside parenthesis \frac{1}{2} - \frac{3}{4} =- \frac{1}{4}

\frac{1}{4}+4( \frac{1}{16})                            Square - \frac{1}{4}                       

\frac{1}{4} + \frac{1}{4}                                 Multiply 4 and \frac{1}{16}                        

\frac{1}{2}                                                       Add \frac{1}{4} + \frac{1}{4}

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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
What do 15/140 equal
Virty [35]
The answer would be 0.10714 or 3/28 if you wanted to simplify it.
7 0
3 years ago
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Lynn has 10 more pencils than Carol. Let p represent the number of pencils Carol has. Which expression shows how many pencils Ly
Mumz [18]
A p + 10. Addition is having/giving more. Lynn has more then Carol, so if she has 30, Lynn has 40. So the answer is A.
6 0
3 years ago
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7
poizon [28]

Answer:

4:3

Step-by-step explanation:

24/8=3     there are 3 blue beads to __ purple beads

32/8=4     there are __ blue beads to 4 purple beads

there are 3 blue beads to 4 purple beads

3 0
3 years ago
Point A (4,-3) is reflected over the y- axis. What are<br> the coordinates of A'?
yan [13]

Answer:

A'(-4,-3)

Step-by-step explanation:

use formula of reflection over y axis

(x,y)=(-x,y)

A(4,-3)=A'(-4,-3)

5 0
2 years ago
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