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3 years ago

Find the length of the missing side (nearest tenth). 17 in 8 in

Mathematics

1 answer:

Blababa [14]3 years ago

6 0

Answer:

Step-by-step explanation:

right triangle, so use the Pythagorean Theorem.

call the missing side c

17² + 8² = c²

353 = c²

c = √353 ≅ 18.8 in

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Find the length of DE. Round to the nearest hundredth. (Picture included)

LenKa [72]

Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA $\bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent} =$

which one has all that? low and behold, is Ms Sine,
so let's bother Ms Sine

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}$

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

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3 years ago

The ratio of M & M’s to raisins in a bag of trail mix is 3:5. If there are 36 M & M’s, how many raisins are there?

Iteru [2.4K]

The correct answer is 60 raisins. To get this answer you will write a proportion of M & Ms to raisins and create and equivalent ratio using the number 36.

After you have the proportion set up, you will use cross products to solve for the number of raisins.

You can also use equivalent ratios to find the number of raisins.

Both of these strategies are shown in the attached picture.

4 0

2 years ago

You invested $10,000 into two accounts: one that has a simple 3% interest, the other with 2.5% interest. If your total interest

artcher [175]

Answer:

3300 was on 3% and 6700 on 2,5%

Step-by-step explanation:

We can say that 'a' represents the price that will go on 3% interest and 'b' 2,5% interest.

Therefore;

a + b = 10 000

And

0,03a + 0,025b = 283.5 (0,03 means 3% etc)

You can move 'b' to the other side to leave 'a' on the LHS

0,03a = 283.5 - 0,025b - - > (divide both sides by 0,03)

a=9450 - 0,8333b

Substitute this equation as 'a' in the first equation to get:

9450 - 0,8333b + b = 10 000 (move 9450 to the RHS to leave values with b on the LHS)

-0,8333b + b = 10 000 - 9450

0,1666b = 550 (divide both sides by 0,1666)

b = 3,300

Therefore 'a' will be :

a= 10 000 - 3 300

a = 6700

I hope this helps.

4 0

3 years ago

work out the area of a circle with diameter 1.8cm. Take <img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" al

ankoles [38]

Area of a circle is pi x r ^2

R = diameter/2

R = 1.8/2 = 0.9

Area = 3.142 x 0.9^2

Area = 2.5 square cm.

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2 years ago

What is the distance between the florist’s shop (D) and the car wash (E)? Explain using coordinate subtraction.

VARVARA [1.3K]

Answer:

hi! once you link the picture I will answer the problem.

Step-by-step explanation:

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2 years ago