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amid [387]
3 years ago
15

Find the distance between (-3, -11) and (8, -42)

Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

32.8937 units

Step-by-step explanation:

So, we can imagine this as a right triangle with a length of 11 (THe change of the X's) and the height being 31 (Change of the Y's)

Then we use pythagorean therom to find the hypotenuse (the length)

11^2 + 31^2 = c^2

121+961 = C^2

1082 = c^2

32.8937units

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Solve |x| &gt; -9.<br><br> No solution <br><br> All reals<br><br> { x | x &lt; -9 or x &gt; 9}
neonofarm [45]

All reals is the answer.

Since y =-9 graph is way below the absolute value graph. Meaning that y value of modulus is greater than the constant graph.

6 0
3 years ago
Summer spent $55.60 on clothes before sales tax. If sales tax is 7.5%, what did Summer spend with tax included?  *Add Explanatio
vampirchik [111]
$59.77. Turn the percent into a decimal by moving the decimal to the left two places (7.5 to 0.075). Then multiply the new decimal by the cost (55.60×0.075=4.17). 4.17 would be the total sales tax, so then add it to the price (55.77+4.17=59.77). Hope that helped.
3 0
4 years ago
Zx and Zy are supplementary angles. Zy measures 108°,
gulaghasi [49]

Answer:

72°

Step-by-step explanation:

Given

Zy = 108°

Zx = ?

We know

Zx + Zy = 180° {being supplementary angles }

Zx + 108° = 180°

Zx = 180° - 108°

Zx = 72°

Hope it will help :)

4 0
3 years ago
Consider angle θ in Quadrant II, where sinθ = 4/5 . What is the value of cosθ?
Kay [80]

Answer:

3/5

Step-by-step explanation:

sin theta=opposite/hypotenuse

4/5=opposite/hypotenuse

therefore opposite=4 and hypotenuse=5

for adjacent

using pythagoras theorem

a^2+b^2=c^2

opposite^2 + adjacent^2 =hypotenuse^2

4^2 + adjacent^2 =5^2

16 + adjacent^2 =25

adjacent^2 =25-16

adjacent =\sqrt{9

adjacent=3

cos theta=adjacent/hypotenuse

=3/5

therefore the value of cos theta is 3/5

8 0
3 years ago
Please help I need help
Natalka [10]

Answer:

2x

Step-by-step explanation:

u have to add it and do a long method of working out

8 0
3 years ago
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