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3 years ago

2 Do side lengths 23, 16, and 7 create a triangle? Show Your Work

Mathematics

1 answer:

Alexus [3.1K]3 years ago

7 0

Answer:

what type? if right then

7^2+16^2=23^2

49+256=529

305≠529

so its not a right triangle

Step-by-step explanation:

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How do I get this answer?

Keith_Richards [23]

Answer:

Step-by-step explanation:

Several trig identities are involved in the proof of this. This is the order in which they are used.

cos(2x) = cos²(x) -sin²(x)
cos²(x) +sin²(x) = 1
cos(x) = 1/sec(x)

<h3>Proof</h3>

Starting with the left side, we can transform it into the right side.

$2\cos(2x)=2(\cos^2(x)-\sin^2(x)) = 2(\cos^2(x)-(1-\cos^2(x)))\\\\=2(2\cos^2(x)-1)=2\left(\dfrac{2}{\sec^2(x)}-\dfrac{\sec^2(x)}{\sec^2(x)}\right)\\\\=\boxed{\dfrac{4-2\sec^2(x)}{\sec^2(x)}}$

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2 years ago

An account is opened with an initial balance of $950 and a simple annual interest rate of 1.6%. What is the balance after 5 year

Sergeeva-Olga [200]

The answer is $1,026.

Solving: Use Simple interest formula, I=Prt.

Make the rate into a decimal (1.6% -> 0.016)

plug in the numbers into the formula. 950 x 0.016 x 5 = 76$.

76$ will be our interest, now to find the balance we would have to add the the starting money (950) with our interest (76$), resulting in our answer of $1,026 after 5 years.

5 0

2 years ago

Read 2 more answers

Write the name of the period that has the digits 913 in 913256

solniwko [45]

I don't understand what your asking

8 0

3 years ago

Read 2 more answers

PLEASE HELP WILL FOLLOW,5STAR AND BRAINIEST IF CORRECT

tensa zangetsu [6.8K]

Use trigonometry here.

sinx = opposite side/ Hypotenuse

so, sinx = 4/5 = 0.8

x= sin^-1(0.8) which is 53.13

Hope it helps

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3 years ago

4The Monarch Butterfly is essential to the pollination process of many native and farmed North American plants. These butterflie

Elena L [17]

Answer:

f(x) = -34x + 320

Step-by-step explanation:

In the figure attached, the graph of the data and the options are shown.

We can see from the graph that the best fit line for the data would have a negative slope (as x values increase, y values decrease) and a positive y-intercept (the y value at x = 0). The only option that satisfies these two criteria is f(x) = -34x + 320

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3 years ago