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satela [25.4K]
3 years ago
14

five years ago Kate's age was four less than twice the Mary's age. If mary is 11 now, how old is kate now?

Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer:

13 years old

Step-by-step explanation:

2x - 4

11-5=6

6 x 2 = 12

12 - 4 = 8

8 + 5 = 13

CHECKING JUST TO MAKE SURE:

13 - 5 = 8

11 - 5 = 6

6 x 2 = 12

12 - 8 = 4

You can now tell that it is correct.

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11. A surveyor is 100 meters from a bridge. The angle of elevation to the top of the bridge is 35º. The
Anna [14]

Answer:

The height of the bridge is 71.47 m.

Step-by-step explanation:

Since the eye of the surveyor is 1.45m creating the horizontal distance, we must add the 1.45 m to the 70.02 m to determine the total height of the bridge.

70.02 m + 1.45 m = 71.47 m

The height of the bridge is 71.47 m.

6 0
3 years ago
The vertices of triangle IJK have coordinates I(−5, −2), J(−5, −4), and K(−4, −4).
AnnZ [28]
The answer is equal to D.
3 0
3 years ago
A circle is increased to have a circumference that is 4 times larger than the original. Which of the following options best desc
kogti [31]
Area of a circle is directly proportional to the square of radius of the circle while the circumference is proportional to the radius of the circle. This means that if the radius of a circle is increased x times, then its area will be increased to x^2 times the original area, and the circumference will increase to x times the original circumference.

Thus when the radius is doubled, or in other words if radius mad 2 time the original radius, the area of circle will become 2^2 = 4 time the original area. The circumference will become 2 times the original circumference.

We can calculate exact area and circumference of a circle from its radius using the following equations:

Area of circle = (pi/4)*r^2

Circumference of circle = 2*pi*r

Where r is the radius of the circle.

I know this is a lot, sorry.
3 0
3 years ago
Select the Correct Answer Consider the following Equation 12w - 27 = -34 + 14 Which Equation has the same solution as the equati
cricket20 [7]
12w - 27 = -34 + 14
w = 7/12

A -2w+21=-8w+36
w=17/8

B -5/6 w + 2 = -34+14w
w=216/89

C -47-10w=-9w-40-3w
w= 7/2

D 8/7w=13/14w+2
w=28/5


6 0
3 years ago
An item is regularly priced at$90. Henry bought it on sale for 70% off the regular price. How much did Henry pay?
Neko [114]
70 times .9 is 63 so 90 minus 63 is27 so it was $27
3 0
3 years ago
Read 2 more answers
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