PLEASE HELP !! ILL GIVE BRAINLIEST !!

Lucy correctly answered 70% of the questions on her science homework.she counted 14 correct answers on her paper .if each questi

disa [49]

Lucy has 20 questions in her science home work

Solution:

Given that,

Lucy correctly answered 70% of the questions on her science homework

She counted 14 correct answers on her paper

To find: Number of questions in her science home work

Let "x" be the number of questions in her science home work

From given we can say,

Lucy correctly answered 70% of questions

She counted 14 correct answers

70 % of total questions = 14 correct answers

70 % of x = 14

$70 \% \times x = 14\\\\\frac{70}{100} \times x = 14\\\\0.70x = 14\\\\x = \frac{14}{0.70}\\\\x = 20$

Thus Lucy has 20 questions in her science home work

4 0

3 years ago

I need help with this problem

IgorC [24]

Answer:

Step-by-step explanation:

Her angle of depression is the same measure as the angle of inclination inside the triangle. That's the base angle that is not the right angle. The height of the triangle is the 10,000 feet she is up in the air, and the reference angle is 20, and we are looking for the measure of the base of this right triangle. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio:

$tan(20)=\frac{10000}{x}$ and

$x=\frac{10000}{tan20}$ so

x = 27474.77 feet

3 0

3 years ago

an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?

olga55 [171]

Given:

Diameter of the hole = 30 cm

To find:

The area of the hole.

Solution:

The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:

$r=\dfrac{30}{2}$

$r=15$

Area of a circle is:

$A=\pi r^2$

Putting $\pi = 3.14$ and $r=15$ in the above formula, we get

$A=(3.14)(15)^2$

$A=(3.14)(225)$

$A=706.5$

Therefore, the area of the hold is 706.5 square cm.

4 0

3 years ago

maria purchased a new jacket for 78.12. the orginal price of the jacket was discounted 20% and Maria had to pay 5% sales tax. wh

prohojiy [21]

20 percent of the discount minus 5 percent sales tax equals to 15 percent.
know calculate the 15 percentage out of 78,12 so x on 78,12 equals to 20 on 100 so 78,12 equals to 100 percent and x equals to 15 percent so 78,12 times 15 divided by 100 is 15 percent or the number you found discount and and sales tax combined know you substact 15 percent out of your original price.

7 0

3 years ago

A line passes through the points(-9,-9) and (-6,-6) Fine the slope of the line

fgiga [73]

Answer:

Slope of the line = 1

Step-by-step explanation:

A line with two points, we are asked to find the slope

We are using the formula

m = (y_2 - y_1) /( x_2 - x_1)

We are provided with some points

( -9 , -9) ( -6 , -6)

x_1 = -9

y_1 = -9

x_2 = -6

y_2 = -6

Insert the values into the equation

m = (y_2 - y_1) / (x_2 - x_1)

m = ( -6 - (-9)) / ( -6 - (-9))

Hint: - * - = +

m =( -6 + 9) / ( -6 + 9)

= 3 / 3

= 1

Slope m = 1

Therefore, the slope of the line = 1

4 0

3 years ago