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3 years ago

Simplify the expression. -5/8(-3/8-1/4)

Mathematics

1 answer:

prisoha [69]3 years ago

5 0

Answer:

25/64

Step-by-step explanation:

To get this answer, first you need to use the distributive property:

(-3/8)(-5/8) - (1/4)(-5/8)

Next, multiply:

15/64 - (-5/32)

Change the negative signs into a positive sign:

15/64 + 5/32

Multiply 5/32 by 2 on both top and bottom:

15/64 + (5)(2)/(32)(2)

You will then get:

15/64 + 10/64

Now, add the numerators. You will get:

25/64

This is your answer. I hope it helped!

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Which of the following statements is false?

Whitepunk [10]

Answer:

Step-by-step explanation:

It's the first one. The angles are supplementary not complementary.

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3 years ago

During the month of August, the average temperature of a lake next to a local college is 72 . 5 degrees with a standard deviatio

Sergeeva-Olga [200]

Answer: 0.3292

Step-by-step explanation:

Let x be the random variable that represents the temperature of a lake.

Given : $\mu=72.5$ and $\sigma=2.3$ .

Using formula : $z=\dfrac{x-\mu}{\sigma}$

We assume that the temperature of a lake follows a normal distribution.

Z-score corresponds to x= 71

$z=\dfrac{71-72.5}{2.3}=-0.65217391304\approx-0.65$

Z-score corresponds to x= 73

$z=\dfrac{73-72.5}{2.3}=0.217391304348\approx0.22$

The probability that that the temperature of the lake is between 71 and 73 degrees :

$P(71$ [using z-table for right tailed test]

$=0.3292182\approx0.3292$

Hence, the probability that that the temperature of the lake is between 71 and 73 degrees =0.3292

6 0

4 years ago

Read 2 more answers

(PLEASE ANSWER!! I REALLY NEED HELP)

DaniilM [7]

Answer:

A) 6.32 in.

B) 71.56°

C) 36.88°

Step-by-step explanation:

To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.

A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:

$l=\sqrt{(AB)^{2}+(BC)^{2}}=\sqrt{(2in)^{2}+(6in)^{2}}=6.32in$

B) The angle asked is the angle ∠A, then, you have:

$tan^{-1}(A)=\frac{opposite}{adjacent}\tan^{-1}(A)=\frac{6}{2}$

∠ $A=71.56$ °

C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.

By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:

∠ $C=180-90-71.56=18.44$

Then:

$\alpha=2*18.44$

$\alpha=36.88$ °

7 0

3 years ago

Help me fast please

solniwko [45]

A7= 5(7)+3
A7=35+3
A7=38

4 0

4 years ago

Please Answer This, the question is on the picture. it needs to be a fraction

tino4ka555 [31]

Answer:

x = 33

Step-by-step explanation:

sin 29° = 16/x

x = 33

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3 years ago

Simplify the expression. -5/8(-3/8-1/4) ​

Simplify the expression. -5/8(-3/8-1/4)