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Whitepunk [10]
3 years ago
13

What is the value of 3 + (-1/4)² ÷ 1/2? A. 6 1/8 B. 21 1/8 C. 7 D. 3 1/8

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
<span>3 + (-1/4)² ÷ 1/2
= </span><span>3 + 1/16 * 2
= 3 + 1/8
= 3 1/8

answer

</span><span>D. 3 1/8</span>
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Select the procedure that can be used to show the converse of the Pythagorean theorem using side lengths chosen from 6 feet, 8 f
zhannawk [14.2K]
<h3>Answer: Choice A</h3>

========================================================

Explanation:

The left side 6^2+8^2 simplifies to 100 since 6^2+8^2 = 36+64 = 100

The right side is also 100 because 10^2 = 100

So 6^2+8^2 = 10^2 is a true equation because both sides are the same number.

Therefore, a triangle with sides 6,8,10 is a right triangle. The hypotenuse 10 is the longest side opposite the 90 degree angle. In other words, the 90 degree angle is between the sides 6 ft and 8 ft.

So this is why choice A is the final answer.

-----------

Choice B is false because the inequality 8^2+10^2 < 11^2 becomes 164 < 121 which is also false. Even if that inequality was true, we can't use it to form a right triangle. We need both sides to be equal.

Choice C is false because we need to have both sides equal to the same number. We need to have a^2+b^2 = c^2 to be true if we want a right triangle with sides a,b,c.

Choice D is false because of the phrasing "Draw any two of the sides with a right angle between them". The 90 degree angle must go between the 6 and the 8, and nowhere else.

5 0
2 years ago
Which is the answer to the following equation? 1 5/9 x 2 6/7 = ? A) 2 11/16 B) 2 10/21 C) 3 11/16 D) 4 4/9
kupik [55]
1 5/9 × 2 6/7=??

To find this out, we have to make both fractions improper fractions, by multiplying the whole numbers with the bottom numbers(denominator) and then adding the numerator(top number).

1 5/9= (9×1) + 5 = 14/9

2 6/7= (7×2) + 6 = 20/7

Now, we multiply them together.

14/9 × 20/7

Cross multiply. 

Your answer is now 40/9

Make that into a mixed number.

D)  4 4/9

~Hope I helped!~
3 0
3 years ago
7) Mofor invests $3,101 in a savings account
Vika [28.1K]

Answer:

4%

Step-by-step explanation:

A = P(1+r/n)^{nt}

A = final amount

P = initial amount

r = interest rate per time period

n = number of times compounded per time period

t = number of time period

A = 3932.82

r = what we want to find

n = 2

t = 6

A = P(1+r/n)^{nt}\\3932.82 = 3101(1+r/2)^{12}

divide both sides by 3101 to isolate the exponent and its parts

3932.82/3101 = (1+r/2)^{12}

put both sides to the power of (1/12) to help isolate the variable

(3932.82/3101)^{1/12}= (1+r/2)

subtract 1 from both sides to isolate the variable and its coefficient

(3932.82/3101)^{1/12}-1= (r/2)

multiply both sides by 2 to get r

((3932.82/3101)^{1/12}-1) * 2= r

r ≈ 0.04 = 4%

7 0
2 years ago
A town has 25,000 people living in it. A survey found out that 66 out of 110 people in the town live in an apartment.Based on th
Anastasy [175]

Answer:

15,000 people

Step-by-step explanation:

This is the question of ratio, it is the quantitative relationship of two number.

In this survey a ratio of 66 people out of 110 is defined as living in apartment, based on this ratio we can estimate the total numbers of people living in apartments.

Total population of the town = 25,000 people

Ratio of people living in apartment = 66 / 110 = 0.6

Town people living in apartment = 25,000 x 0.6 = 15,000 peoples

8 0
3 years ago
A scientist is determining how fast a weed grows. Every two days the scientist measures the height of the weed. How tall will th
HACTEHA [7]

Answer:

d.

Step-by-step explanation:

8 0
3 years ago
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