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igomit [66]
3 years ago
5

The Value of X________

Mathematics
1 answer:
Nana76 [90]3 years ago
5 0

Answer:

x = 59.5

Step-by-step explanation:

the angles  of a quadralateral equal 360 degrees, one angles is 90 degrees, the other i 151, 90 + 151 = 241, 360 - 241 = 119, 119/2 = 59.5, x = 59.5

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jolli1 [7]

Step-by-step explanation:

a negative it's like adding them together

8 0
2 years ago
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PLEASE HELP ME I SUCK AT MATH
ICE Princess25 [194]
ANSWER:
A. y= -4x - 4

EXPLANATION:
y2-y1
——— This is used to find the slope
x2-x1

4-(-4)=8
0-2=-2

8/-2=-4
So the slope should be -4.

Since the y-intercept is shown in (0,4), the y-intercept is 4.
6 0
2 years ago
Lupita has five times as much money as David. Lupita also has $20 more than David. How much money does each person have?
zhannawk [14.2K]
20x5 is 100 for each
6 0
1 year ago
8
Sedbober [7]

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

\frac{6x}{6}=\frac{18}{6}\\x=3

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

6 0
2 years ago
An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne
lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0
3 years ago
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