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2 years ago

An artist has completed 1/14 of a painting in 2 weeks. At what rate is she working?

Mathematics

1 answer:

joja [24]2 years ago

6 0

Answer:

Rate = 0.035 per weeks

Step-by-step explanation:

Given that,

An artist has completed 1/14 of a painting in 2 weeks.

We need to find the rate at which she is working. Let the rate is R. It can be calculated by dividing part that is completed and time.

$R=\dfrac{\dfrac{1}{14}}{2}\\\\R=0.035\ \text{per weeks}$

Hence, her rate is 0.035 per weeks.

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2 years ago

Square root of 2 times 3 to the square root of 2

bija089 [108]

Answer:

6.68754...

Step-by-step explanation:

Assuming you mean:

$\sqrt{2}\cdot 3^{\sqrt{2}}$

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3 years ago

In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.

Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

$\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm$

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

$\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M$

In the right triangle, two acute angles are always complementary, so

$m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}$

Thus,

$MH=1.43\cos 69^{\circ}\approx 0.51\ cm$

7 0

2 years ago

Tell me the y-intercept of the line: 2x - 3y = 9

butalik [34]

Answer:

y-intercept: (0,-3)

Step-by-step explanation:

Y-intercepts mean that the x-value has to be equal to 0. When plugging in 0 for the x-value, we receive:

$2(0)-3y=9\\0-3y=9\\-3y=9\\y=\frac{9}{-3} \\y=-3$

Therefore, the point is (0,-3).

6 0

2 years ago

Read 2 more answers

A carpenter has a board 400 inches long and 10 inches wide. He makes 5 identical shelves with the board and still has a piece of

Sedaia [141]

THE 5 IDENTICAL SHELVES WOULD have to be 76 because if you take 400 - 20 (because that left over) you get 380/5 you get 76 and to check your work you do 5x76=380+20 you get 400 so 76 is you answer

3 0

2 years ago

Read 2 more answers