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OverLord2011 [107]
3 years ago
13

Find the area of the triangle below.

Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

73.72

Step-by-step explanation:

Using law of Sines in area:

A(triangle) = S1 * S2 * sin(theta) /2

A(triangle) = 12 * 15 * sin(55) / 2 = about 73.72 when rounded

ANSWER: 73.72

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I need help please answer these two questions for me! Will give points.​
jarptica [38.1K]

Answer:

7.) 7

10.)  0

Step-by-step explanation:

When it means "evaluate the function", it's in essence asking us to see what the function spits out when we feed it a certain input. Our inputs are our x values, which spit out a y value.

Evaluating the function when x = 1:

Let's look at where the function has an x value of 1. We see it near the bottom of the table and see the y value associated with the input is 7. So when the function is fed 1 as an input, it spits out 7.

Evaluating the function when f(x) = - 2:

This one is a weird because of the new notation. Just think of it as some value of f, which we don't know (so we represent it as an x-variable) must equal -2. So let's look at our table to find out where our output is -2. We find that when f(x) = -2 the input is 0. So the input which gives -2 is 0.

7 0
3 years ago
A man sells a sofa for rs 3210 making a profit of 7% what would have been his profit percent if he had sold it for rs 3360?
Digiron [165]
Let x be the original cost for the sofa.
X x (1 + 0.07) =3210
X = 3000
Now we know the cost for the sofa.
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7 0
4 years ago
A survey measures the motivation, attitudes, and study habits of freshman in college. Freshmans’ scores on this survey range fro
MrRissso [65]

Answer:

Option A) 0.0074    

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 110

Sample mean, \bar{x} = 20

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 115.35

First, we design the null and the alternate hypothesis

H_{0}: \mu = 110\\H_A: \mu \neq 110

We use two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{115.35 - 110}{\frac{20}{\sqrt{100}} } = 2.675

Now, we calculate the p-value from the standard normal table.

P-value  = 0.0074

Thus, the correct answer is

Option A) 0.0074

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