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My name is Ann [436]
3 years ago
14

How did i respond the question number 108

Mathematics
1 answer:
mafiozo [28]3 years ago
4 0
You can multiply each fraction on both top and bottom so that they have 24 as the denominator. The equation becomes \frac{20}{24} m- \frac{10}{24} = \frac{21}{24} m+ \frac{16}{24}
subtract 16/24 to both sides and you get
\frac{20}{24} m- \frac{26}{24} = \frac{21}{24} m
now subtract 20/24 from both sides and
\frac{-26}{24} = \frac{21}{24} m<u />
multiply 24 on both sides
-26=21m
and divide by 21 on both sides
m=-26/21 or -1.24
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Find the exact circumference of a circle with diameter equal to 8 ft. 8 ft. 16 ft. 64 ft.
maria [59]

ANSWER

8π ft

EXPLANATION

The circumference of a circle is calculated using the formula C=πd.

Where d=8 is the diameter of the circle.

We substitute d=8 into the formula to obtain,

C=8π ft.

Because we are looking for the exact circumference, we leave the answer in terms of π.

6 0
3 years ago
Read 2 more answers
Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0
3 years ago
Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those t
avanturin [10]

Answer:

20° and  90°

Step-by-step explanation:

Let 2x = measure of 1st angle

then 9x =  measure of 2nd angle

The sum of the measures of the angles of a quad is 360

200 + 50 + 2x + 9x = 360

250 + 11x = 360

11x = 110

x = 10

2x = 20°

9x = 90°

7 0
3 years ago
A blueprint for a house shows the height of the house to be 3 3/8 inches. The actual house is 21 1/3 feet tall. What is the unit
Amanda [17]
6.32ft per inch (rounded to the hundredth place).

You can get this number by dividing the total number of feet by the total number of inches 
6 0
3 years ago
Common factors of 60 and 126
KonstantinChe [14]
Common factors of 60 and 126 are:

1, 2, 3, 6

Hope this helps
3 0
3 years ago
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