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3 years ago

Find the measure of angle x. A) 90° B) 45° C) 135° D) 180°

Mathematics

1 answer:

tiny-mole [99]3 years ago

8 0

The angles of a triangle always equal 180.

You do 180 - 80 - 45. X = 45.

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A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and

goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

$F=-kx$

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

In spring A

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

$F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x$

Here the spring extension is 15 m

In spring B

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

$F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x$

Here the extension on the spring is 12 m

Compare

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

$=15m-12m=3m$

5 0

3 years ago

jillian calculates that see will take 95 minutes to run 7 miles. she runs the distance in 80 minutes. what is jillians percent e

Aneli [31]

Answer:

15.79%

Step-by-step explanation:

do 95-80 which is 15

then do 15/95 as a fraction then multiply that number by 100 to get 15 15/19 then turn that into a decimal and you get 15.79%

6 0

4 years ago

Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have

tankabanditka [31]

Answer:

Step-by-step explanation:

average 9 pounds per three weeks

divide 9 in 3 three weeks

3 pounds per week

7 times 3 is 21

5 0

3 years ago

A clothing business finds there is a linear relationship between the number of shirts, Q ,it can sell and the price, P , it can

Vlad [161]

Answer:

P = -0.004Q + 149

Step-by-step explanation:

The general form of the linear equation is:

$P=aQ+b$

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

$a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004$

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

$P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149$

The linear equation is:

P = -0.004Q + 149

8 0

3 years ago

Carol has 88 cm of string and cuts it in the ratio 5 : 6. What is the total parts?

Mrrafil [7]

Answer:

5+6= 11

88/11= 8

5x8= 40

6x8= 48

6 0

4 years ago

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