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MA_775_DIABLO [31]
2 years ago
7

Can you find both the value of x and y? It is a 30-60-90 triangle

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
3 0

Answer:

x = 8*root3

y = 16

Step-by-step explanation:

You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:

the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!

Another shortcut:

The longer leg is the shorter leg × root3.

This ALWAYS works on 30°-60°-90° triangles.

So on your triangle, the short side is 8, that means the longer leg is 8×root3.

ta-daaaa!

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Helloooo please give the right answer :)
Crazy boy [7]

Answer:

9 feet

Step-by-step explanation:

3X3=9 feet therefore 3 yards is equal to 9 feet

5 0
2 years ago
What do you suppose a decimal value for a day in the month means
Tasya [4]
It would be 0 till the end of the month because that’s where it started from and when it’s going to end
4 0
3 years ago
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A company that produces dog food claims that its bags contain 11 kg of food. From
andriy [413]

By testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Given mean of 10.6 kg, population standard deviation of 0.6 and sample size of 25.

We are required to find whether the company is right in saying that their bags contain 11 kg of food.

First we have to make hypothesis.

H_{0}:μ≠11

H_{1}:μ=11

We have to use t statistic because the sample size is less than 30.

t=(X-μ)/s/\sqrt{n}

We will use s/\sqrt{n}=0.6 because we have already given population standard deviation of weights.

t=(11-10.6)/0.6

=0.4/0.6

=0.667

Degree of freedom=n-1

=25-1

=24

T critical at 0.05 with degree of freedom 24=2.0639

T critical at 0.05 with degree of freedom is greater than calculated t so we will accept the null hypothesis.It concludes that the bags donot contain 11 kg of food.

Hence by testing the hypothesis we can conclude that the bag does not contain 11 kg of food.

Learn more about t test at brainly.com/question/6589776

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3 0
1 year ago
A kite is 3 feet long. How many inches is that?
alexandr1967 [171]

Answer:

36 inches

Step-by-step explanation:

1 foot is equal to 12 inches so if the kite is 3 feet you would multiply 12 times 3 and get 36 hope this helps (Brainliest???)

5 0
3 years ago
PLEASE HELP
rodikova [14]

Answer:  B. 1/2(y - 116) = 64    

Step-by-step explanation:

Since, we know that,

The angle formed by two tangent = \frac{1}{2}(\text{Difference of intercepted Arcs} )  

= \frac{\text{major arc - minor arc}}{2}

Here, Major arc = y°

Minor arc = 116°

And, Angle made by two tangents YX and YZ,

m\angle XYZ = \frac{\text{y - 116}}{2}

64 = \frac{\text{y - 116}}{2}  ( because,  m\angle XYZ = 64^{\circ} )

⇒ \frac{\text{y - 116}}{2} = 64

Which is the required equation to find y,  the measure of XWZ.

Thus, Option B is correct.

8 0
3 years ago
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