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3 years ago

Determine whether a triangle with sides 12 cm, 14 cm and 18 cm is an acute, right or obtuse triangle.

Mathematics

1 answer:

Vanyuwa [196]3 years ago

4 0

Obtuse... (Sorry it is not labeled) Not a right angle since it does not have a 90 degree angle neither acute since it isnt below 60 degree and obtuse due to being over 90 degree

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What’s this need help<br> asap !

Vsevolod [243]

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2 years ago

If you continually experience budget defi-<br> cits, how can you decide which expenses<br> to cut?

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2 years ago

Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard

Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean $\mu$ and standard deviation $\sigma$

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: $\mu_{V} = 525, \sigma_{V} = 100$ .

Math: $\mu_{M} = 575, \sigma_{M} = 100$

Combined:

$\mu = \mu_{V} + \mu_{M} = 525 + 575 = 1100$

$\sigma = \sqrt{\sigma_{V}^{2}+\sigma_{M}^{2}} = \sqrt{100^2 + 100^2} = 141$

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

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3 years ago

Convert the rate of 10 yards per minutes to feet per hour

KengaRu [80]

The answer is 30 feet per hour

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3 years ago

The Circle with a center (10,1) and the radius 5 has equation

liberstina [14]

<h3>Answer: (x-10)^2 + (y-1)^2 = 25</h3>

============================================

Explanation:

The general template of a circle is

(x-h)^2 + (y-k)^2 = r^2

Where,

(h,k) is the center
r is the radius

We are given (10,1) as the center so (h,k) = (10,1) meaning that h = 10 and k = 1 pair up together.

r = 5 is the given radius.

-----

Plug the values h = 10, k = 1, r = 5 into the equation to get:

(x-h)^2 + (y-k)^2 = r^2

(x-10)^2 + (y-1)^2 = 5^2

(x-10)^2 + (y-1)^2 = 25

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2 years ago