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VARVARA [1.3K]
3 years ago
10

Last week it rained g inches. This week, the amount of rain decreased by 5% Which expressions represent the amount of rain that

fell this week? Select all that apply.
Mathematics
1 answer:
hichkok12 [17]3 years ago
3 0

Options :

A. g - 0.05

B. g - 0.05g

C. 0.95g

D. 0.058

E. (1 – 0.05)g

Answer:

B. g - 0.05g

C. 0.95g

E. (1 – 0.05)g

Step-by-step explanation:

Given that :

Amount of Rainfall last week = g inches

Percentage change in Rainfall amount this week = 5%

Rainfall amount this week:

Amount of Rainfall lastweek(100% - 5%)

g(1 - 0.05) = g - 0.05g

g(1 - 0.05)

g(0.95) = 0.95g

Thus the expression, Amount of Rainfall lastweek(100% - 5%) could be rewritten or simplified into any of the expressions above and still arrive at the same solution.

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Using the completing-the-square method, rewrite f(x) = x2 - 8x + 3 in vertex form.
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B

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3 years ago
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Two angles are complementary. one angle measure 22 degrees. The other measure 2x degrees. solve for x.​
snow_tiger [21]

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x=34^\circ

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Complementary angles sum up to 90^\circ.

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Best Regards!

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The angle between the ground at the top of a flag pole is 25o when the observer is at point A. The observer walks 10 m directly
gladu [14]

Answer:

12.4967 m

≈  12.5 m

Step-by-step explanation:

From the solution diagram attached, to find /AB/, we apply sine rule:

AB/Sin 140° =AD/Sin 15°

AB = 10/Sin 15° x Sin 140°

     = 24.8372 m

To calculate the height of the pole we will calculate BC first. Using the right angle triangle ∠ABC, we have:

Sin ∅  =  BC/AB

Sin 25° =   BC/ 24.8372

BC = 24.8372 Sin 25°

    =  10.4967 m

The height of the pole =  BC + 2.0

                                      =  10.4967 + 2.0

                                      = 12.4967

                                     ≈  12.5 m

5 0
3 years ago
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