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Mashutka [201]
2 years ago
9

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
Serga [27]2 years ago
3 0

Answer:

11.3

Step-by-step explanation:

first we find angle F.

remember, all angles in a triangle always sum up to 180 degrees.

so,

F = 180 - 90 - 61 = 29 degrees

now we use the law of sines.

EF/sin(D) = ED/sin(F) = DF/sin(E)

DF = x

sin(E) = sin(90) = 1

5.5/sin(29) = x/1 = x

x = 11.3

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The distance between each base on a field is 90 ft. How far does a catcher have to throw the ball from home plate to second base
Gnoma [55]

Step-by-step explanation:

A baseball field is in the shape of a square (or diamond).  Home plate and second base are opposite corners of each other.  So the distance is equal to the diagonal of the square.

Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.

Using Pythagorean theorem:

c² = a² + b²

c² = (90 ft)² + (90 ft)²

c = 90√2 ft

c ≈ 127 ft

7 0
3 years ago
Solve for x.<br> Sqrt8 (Sqrt2 - x) = 11
Alexus [3.1K]

Answer:\frac{-7\sqrt{2} }{4}

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get \sqrt{16}-x\sqrt{8} =11. We know that the square root of 16 is ±4, so now our equation is ±4 - x\sqrt{8}=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - x\sqrt{8}=11. We can use inverse operations to make the a little easier to solve: -7= x\sqrt{8}. We divide both sides by \sqrt{8} to get \frac{-7}{\sqrt{8} } =x, which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by \frac{\sqrt{8} }{\sqrt{8} } (which is equal to one so we can use it) which is equal to \frac{-7\sqrt{8} }{8}. Let's finish this by simplifying it. \sqrt{8} =2\sqrt{2} (2x2^{2}). We can simplify it further by simplifying the 2, making it \frac{-7\sqrt{2} }{4}.

Hope this wasn't too confusing! I'll answer any questions.

8 0
3 years ago
Read 2 more answers
Can someone help me!! I’m trying to find equivalent measures! 15!points if you can help!
MaRussiya [10]
1000 mL = 1 L

0.85 L = (0.85 L)*(1000 mL/1 L) = (0.85*1000) mL = 850 mL

So, 0.85 liters is equivalent to 850 milliliters 
7 0
3 years ago
Raphael works 12 hours each week. He earns £4 per hour. Tom saves 1/3 of earnings each week. How many weeks does it take Tom to
olga_2 [115]

Raphael works 12 hours each week. He earns £4 per hour. Tom saves 1/3 of earnings each week. How many weeks does it take Tom to save £80?

5 weeks

7 0
3 years ago
A basketball team took a total of 100 shots. One player took 70% of all 100 shots, and
NemiM [27]

The player took a total of 70 shots and missed about 28 shots.

<h3>Percentage</h3>

Percentage is used in expressing a fraction number or decimal in fraction of 100. It is expressed using the '%' sign.

Given a total shot of 100, since the player took 70% of the shot, hence:

Total shot taken by the player = 70% of 100 = 0.7 * 100 = 70 shots.

Total shot shot missed = (100% - 60%) of 70 = 40% of 70 = 0.4 * 70 = 28 shots.

The player took a total of 70 shots and missed about 28 shots.

Find out more on Percentage at: brainly.com/question/24304697

4 0
2 years ago
Read 2 more answers
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