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4 years ago

Which of the following are similar

Mathematics

1 answer:

kupik [55]4 years ago

5 0

The answer for this question is A

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The junior varsity football team score 23 points in last Saturday's game they score the combination of seven point touchdowns in

frutty [35]

Answer:

2 touchdowns, 3 field goals

Step-by-step explanation:

The number of touchdowns cannot be more than 3, so it is relatively easy to find the solution by trial and error.

23 is not divisible by 3, so 0 touchdowns is not a solution

23 -7 = 16 is not divisible by 3, so 1 touchdown is not a solution

23 -14 = 9 is divisible by 3, so 2 touchdowns and 3 field goals is a solution

21 -21 = 2 is not divisible by 3, so there is only one solution.

7 0

3 years ago

A manufacturer of bolts has a quality-control policy that requires it to destroy any bolts that are more than 4 standard deviat

Doss [256]

Answer:

more than 15.40 cm and less than 14.60 cm

Step-by-step explanation:

A manufacturer of bolts has a quality control policy that requires it destroy any bolts that are more than 4 standard deviations from the mean.

mean length= 15 cm

standard deviation= 0.10 cm

4 standard deviation from mean= 15±(4×0.10)

therefore, bolts of length more than 15+0.4, and less than 15-0.4 will be destroyed

= 15.40 cm and 14.60 cm

4 0

3 years ago

10. Simplify the rational expression by rationalizing the denominator. 3 sqrt 160/sqrt 1350x A) 2 sqrt 15x/15x B) 3 sqrt 160/135

Viefleur [7K]

The simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .

First we must simplify the expression:
$\frac{3 \sqrt{160} }{\sqrt{1350x} } = \frac{12 \sqrt{10} }{15 \sqrt{6x} } = \frac{4 \sqrt{10} }{5 \sqrt{6x} }$

Then we factor the rational parts and cancel it out:
$\frac{4 \sqrt{2} \sqrt{5} }{5 \sqrt{2} \sqrt{3x} } = \frac{4\sqrt{5} }{5\sqrt{3x} }$

Then we rationalize the expression:
$\frac{4\sqrt{5} }{5\sqrt{3x} } * \frac{\sqrt{3x} }{\sqrt{3x} } = \frac{4 \sqrt{15x} }{5*3x} = \frac{4 \sqrt{15x} }{15x}$

<span>Finally, the simplified expression by rationalizing the denominator is (C) $\frac{4 \sqrt{15x} }{15x}$ .</span>

7 0

3 years ago

Express 8 sin^2x - 10sinxcosx in the form a+b sin(2x+c).

ladessa [460]

8 sin2x - 10sinxcosx = 8*2sinXcosX-10sinXcosX = 16sinXcosX - 10sinXcosX = 6sinXcosX=3sin2x

7 0

3 years ago

Geometry pls help thanks

sveta [45]

Answer:

x=30

Step-by-step explanation:

it is an equilateral triangle, so all angles are the same. each angle is 60 degrees. 60/2 is 30, so 30 degrees is the answer.

5 0

3 years ago