15pts awarded and brainliest will be chosen!!!!!The ideal length of a particular metal rod is 30.5 cm. The measured length may vary from the ideal length by at most 0.015 cm. What is the range of acceptable lengths for the rod?

Answers

Answer 1

Answer:

Answer: OPTION B

Step-by-step explanation:

Let be "x" the acceptable lengths for the rod.

You know that the ideal length of the metal rod is 30.5 centimeters and the measured length may vary from the ideal length by at most 0.015 centimeters.

Therefore, knowing this, you can say that the acceptable lengths must be:

$30.5cm-0.015cm\leq x\n\n30.485\leq x$

$x \leq 30.5cm+0.015cm\n\nx\leq 30.515$

Therefore, the range of acceptable lengths for the rod is the following:

$30.485\leq x\leq 30.515$

This range matches with the one shown in the option B.

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What is the sum of the geometric series in which a1 = 4, r = 2, and an = 512?Answer choices:
A) Sn=1,020
B)-252
C)43,690
D)-1,020

Answers

Geometric series is a series of numbers where the ratios of successive terms are the same. To answer this problem, the information that we need to know are the first first term, the number of terms and the ratio of any successive terms. First we get the number of terms by the equation:
an= a1(r)^(n-1) solve for n, which results to 8.
Then the sum is computed by the equation:
Sn = a1(((r)^n)-1)/(r-1))
The answer is then A 1,020

8z=112 solve the equation

Answers

you divide 8 by both sides. which will give you 14

so z= 14

Work please????????????????

(-2/3)^-2=? (-2/3 is a fraction)

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$(- (2)/(3) )^-2 \n \n (1)/( (-(2)/(3))^2) \ / \ negative \ power \ rule \n \n (1)/( ((2)/(3))^2 ) \ / \ \ power \ of \ 2 \ is \ even, \ result \ will \ be \ positive \n \n (1)/( (2^2)/(3^2) ) \ / \ distributive \ property \ of \ division \n \n (1)/( (4)/(9) ) \ / \ simplify \n \n (9)/(4) \ / \ reverse \ and \ multiply$

The answer to this problem is 9/4 or 2.25.

Anyone know the answer?

Answers

To solve your question, you add all of the measurements together, set them equal to 180, solve for x, and plug x back in for whichever angle they are asking for; in this case, they want angle R

7x + 12x + 20 + 20x - 35 = 180
39x - 15 = 180
39x = 180 + 15
39x = 195
x = 5

Angle R = 12x + 20
12(5) + 20
60 + 20
80

Option C is your answer.

4. The diagram in this figure illustrates a _______ angle. A. right
B. supplementary
C. reflex
D. curved

Answers

Answer:

C) The diagram in this figure illustrates a reflex angle

Step-by-step explanation:

Given : A diagram with an angle.

To find : The diagram in this figure illustrates a _______ angle.

Solution : We can see from figure it is greater than 180 degree and less than 360 degree.

By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.

Therefore, C) The diagram in this figure illustrates a reflex angle.

It would be C. because it is more than 180 but less than 360

A human head weighs 160 ounces. What is that weight in kilograms? Analyze the work below. 1 pound = 16 ounces. 1,000 grams = 1 kilogram. 1 kilogram = 2.2 pounds. Student's work: StartFraction 160 ounces Over 1 EndFraction times StartFraction 16 pounds Over 1 ounce EndFraction times StartFraction 1 kilogram Over 2.2 pounds EndFraction almost-equals 1,163.6 What is the student's error? The student forgot to multiply by StartFraction 1,000 grams Over 1 kilogram EndFraction. The student forgot to multiply by StartFraction 1 kilogram Over 1,000 grams EndFraction. The student multiplied by StartFraction 16 pounds Over 1 ounce EndFraction instead of StartFraction 1 pound Over 16 ounces EndFraction. The student multiplied by StartFraction 1 kilogram Over 2.2 pounds EndFraction instead of StartFraction 2.2 pounds Over 1 kilogram EndFraction.

Answers

The equivalent of the weight that has a measure of 60 ounces in kilogram is 4.54 kg

How to determine the weight in kilogram

from the question, we have the following parameters that can be used in our computation:

Weight = 160 ounces

When converted to kilogram, we divide the weight by 35.274

Using the above as a guide, we have the following:

Weight = 160/35.274 kg

Evaluate

Weight = 4.54 kg

Hence, the weight in kilogram is 4.54 kg