Please help me on 7&8 and please show your work :)

what is the value of the reciprocal of $\frac{-2}{5}$? express your answer as a decimal to the nearest tenth.

olga2289 [7]

The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

<h3>What is the Reciprocal of a Number?</h3>

The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.

Another example is a/b. The reciprocal of a/b is b/a.

Thus, the reciprocal of -2/5 is -5/2.

Expressing this as a decimal, we would have:

-5/2 = 2.5 (nearest tenth).

Therefore, the reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.

Learn more about the reciprocal of a number on:

brainly.com/question/20896748

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6 0

1 year ago

Robert is inspecting a shipment of 22 inch pipes. The length of the pipes may vary by 1%. What is the range of allowable lengths

Slav-nsk [51]

Answer:

The allowable lengths of pipe is from 21.78 inch to 22.22 inch.

Step-by-step explanation:

The length of the each pipe in the shipment = 22 inch

The variation in the length of pipes = 1%

⇒The allowable length of pipe in the inspection = 22 inch ± 1%

Now, 1% of 22 = $\frac{1}{100} \times 22 = 0.22$

So, 22 inch + 1% = 22 inch + 0.22 = 22.22 inch

and 22 inch - 1% = 22 inch - 0.22 = 21.78 inch

⇒ 22 inch ± 1% = 22.22 inch and 21.78 inch

Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.

3 0

3 years ago

Multiply 11w(w-22)=what?

ryzh [129]

11w(w-22) Multiply 11w times each term in the parenthesis
$11w(w-22)=11w^2-242w$

5 0

3 years ago

Calculate the side lengths a and b to two decimal places.

Zinaida [17]

Answer:

$a=10.92 units$

$b=14.51 units$

Step-by-step explanation:

We are given that c=6 units

$\angle A=43^{\circ}$

$\angle B=115^{\circ}$

We have to find the side length a and b.

We know that sum of angles of a triangle =180 degrees

$\angle A+\angle B+\angle C=180$

Substitute the values then we get

$43+115+\angle C=180$

$158+\angle C=180$

$\angle C=180-158=22^{\circ}$

sine law: $\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}$

$\frac{a}{sin 43^{\circ}}=\frac{6}{sin 22^{\circ}}$

$a=\frac{6}{sin 22^{\circ}}\times sin 43^{\circ}$

$a=10.92 units$

$\frac{b}{sin 115^{\circ}}=\frac{6}{sin 22^{\circ}}$

$b=\frac{6}{sin 22^{\circ}}\times sin 115^{\circ}=14.51$

$b=14.51 units$

6 0

3 years ago

I NEED THIS BADLY <br> WILL MARK BRAINLYIST

stiks02 [169]

What’s the question?

5 0

2 years ago