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Nastasia [14]
3 years ago
6

I need help getting started in return I will help with Spanish

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

The constant rate of change is 4 inches per day

Step-by-step explanation:

We are finding the slope

That means we need two points

((0,8) and (1,12)

m= (y2-y1)/(x2-x1)

   = (12-8)/(1-0)

    =4/1

The constant rate of change is 4 inches per day

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PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!
iris [78.8K]

Given:

The figure of a right triangle ABC.

To find:

The trigonometric ratios \sin B, \tan A, \cos B.

Solution:

Using Pythagoras theorem,

Hypotenuse^2=Perpendicular^2+Base^2

AB^2=AC^2+BC^2

(10)^2=(6)^2+BC^2

100-36=BC^2

64=BC^2

Taking square root on both sides.

\sqrt{64}=BC

8=BC

So, measure of BC is 8 units.

Now,

\sin \theta=\dfrac{Opposite}{Hypotenuse}

\sin B=\dfrac{AC}{AB}

\sin B=\dfrac{6}{10}

\sin B=\dfrac{3}{5}

Similarly,

\tan \theta=\dfrac{Opposite}{Adjacent}

\tan A=\dfrac{AC}{BC}

\tan A=\dfrac{6}{8}

\tan A=\dfrac{3}{4}

And,

\cos \theta=\dfrac{Adjacent}{Hypotenuse}

\cos B=\dfrac{BC}{AB}

\cos B=\dfrac{8}{10}

\cos B=\dfrac{4}{5}

Therefore, the required trigonometric ration are \sin B=\dfrac{3}{5}, \tan A=\dfrac{3}{4}, \cos B=\dfrac{4}{5}.

6 0
3 years ago
Find the area of the rhombus.
masha68 [24]

Answer

Area=20,5yr^2

Step-by-step explanation:

d1=13+13=26yd

d2=7,5+7,5=15yd

P=(d1+d2)/2

P=(26+15)/2

P=41/2

P=20,5yr^2

4 0
3 years ago
Simplify.<br> 7x² - x + 9<br> + 6x² + 5x - 10<br> ___________<br><br> Will give brainliest.
Ira Lisetskai [31]

Answer:

13²+4−1

Step-by-step explanation:

<em><u>hope it helps</u></em>

3 0
3 years ago
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A chemist has 100 g of a 15% saline solution that she wants to strengthen to 29%. The percentage P of salt in the solution by ma
Vinil7 [7]

Answer:

D., x= 19.7 or ≈20. g

Step-by-step explanation:

P(x) = [100(15+x)]/(100+x)

When 0 g additional salt is added, x=0. we have

P(0) = [100(15+0)]/(100+0)= 15

x=0, P=15

We can see this point only on the graph D.

P(x) =29 = [100(15+x)]/(100+x)

29 = [100(15+x)]/(100+x)

29(100+x) = 100(15+x)

2900+29x = 1500+100x

2900-1500=100x-29x

1400 = 71x

x ≈ 19.7 g  or ≈20. g

From the graph D, we can see that to get 29% we need to add ≈ 20 g of salt.

4 0
3 years ago
Which expression is equal to (5x2)x7
Dima020 [189]

Answer:

Step-by-step explanation:

70

7 0
3 years ago
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