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Irina-Kira [14]
3 years ago
6

Factor completely x3 + 8x2 − 3x − 24.

Mathematics
1 answer:
balu736 [363]3 years ago
6 0

Answer:

x=8=2=3

Step-by-step explanation:

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Two walls have the same area. The first wall is in the shape of a square and has a height
STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

7 0
3 years ago
Simplify 6 - 3(4 - 3x)
IRISSAK [1]
<span>6 - 3(4 - 3x)
= 6 - 12 + 9x
= 9x - 6

hope it helps</span>
6 0
3 years ago
Read 2 more answers
Please help!
UkoKoshka [18]

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

  • The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
  • The angles in the rhombus are 44 and 46 degrees, respectively

<h3>How to determine the values of x?</h3>

<u>Triangle 1</u>

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

<u>Triangle 2</u>

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

<u>Triangle 3</u>

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

<h3>How to calculate the angles of the rhombus?</h3>

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

brainly.com/question/13347349

5 0
2 years ago
3/5 of of Garys fish are guppies. 1/6 of them are red. what fraction of guppies are red?
Anvisha [2.4K]

Answer:

The fraction of red guppies = 1/10

Step-by-step explanation:

Garys fish are guppies = 3/5

1/6 of them are red.

Number of red guppies = ?

To find the fraction of red guppies, we will multiply both the fractions.

Number of red guppies = 3/5 * 1/6

Number of red guppies = 3/30

Number of red guppies = 1/10

Thus the fraction of red guppies = 1/10 ....

7 0
3 years ago
One of your friends is testing the effect of drinking coffee on the duration of cold symptoms. The common cold lasts, on average
Goshia [24]

Answer: 0.0930

Step-by-step explanation:

As per given , we have

H0: μcoffee = 6

Ha: μcoffee < 6

She finds z = −1.68 with one-sided P-value P = 0.0465.

The P-value for two-tailed test is calculated by :

2P(Z>|z|)

For z= -1.68 , we have

2P(Z>|-1.68|)=2P(Z>1.68)

=2(1-P(z\leq1.68))\ \ [\because\ P(Z>z)=1-P(Z\leq z)]

=2(1-0.9535213)\ \ \ [\text{ NORM.S.DIST(z, TRUE}]\\\\=2( 0.0464787)=0.0929573\approx0.0930  

Hence, the correct two-sided P-value for z = −1.68 is 0.0930 .

3 0
3 years ago
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