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Fed [463]
2 years ago
12

Find the missing the side of the triangle. 19New A. 73‾√ in B. 72‾√ in C. 75‾√ in D. 77‾√ in

Mathematics
1 answer:
valina [46]2 years ago
3 0

By applying Pythagorean's theorem, the missing side of this right-angled triangle is: A. 7√3 inches.

<h3>How to find the missing side?</h3>

By critically observing the triangle shown in the image attached below, we can logically deduce that it is a right-angled triangle. Thus, we would find the missing side by applying Pythagorean's theorem:

z² = x² + y²

Also, the sides of this right-angled triangle are:

  • Hypotenuse = 14 inches.
  • Opposite side = x inches.
  • Adjacent side = 7 inches.

Substituting the given parameters into the formula, we have;

14² = x² + 7²

196 = x² + 49

x² = 196 - 49

x² = 147

x = √147

x = √49 × √3

x = 7√3 inches.

Read more on Pythagorean theorem here: brainly.com/question/23200848

#SPJ1

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Evaluate each expression. y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5
kompoz [17]

Answer:

3

Step-by-step explanation:

(5÷5)+1+(6÷6)

1+1+(6÷6)

1+1+1

3

4 0
3 years ago
Read 2 more answers
Given that x is a number there is not negative Kelvin conjectured that x(to the 2nd power) &gt; x+1
Sav [38]

The way this is written, you cannot use -1/2 or -2. Is that correct? Both of them are minus. So the only things you have going for you is 0 and 5

x^2 > x + 1  when x = 5

5^2 > 5 + 1 and his conjecture is true.

25 > 6

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

What about 0?

0^2 = 0   so

0 > 0 + 1 and the conjecture is false.


4 0
4 years ago
Read 2 more answers
You need to buy a car to help you get to school and work. You take out a $8,000 loan with a 9.25% annual simple interest rate to
vovikov84 [41]

Answer:

A) Interest that will be charged  = $4070

B) The total amount to be paid   = $12070

Step-by-step explanation:

Given:

Initial amount paid  = $8,000

Rate of the interest = 9.25%

Time period = 66 months

<u>A) AMOUNT OF INTEREST CHARGED</u>

<u>Let the interest charge be x</u>

\text{Simple interest,  x} =\frac{\text { principal amount } \times \text {rate of interest } \times \text { number of years }}{100}

here we are given with number of months i.e., 66 months

converting 66 months into years

=>\frac{66}{12}

=>5.5

so 66 months = 5.5 years

Now substituting the vales in the formula we get,

simple interest, x =\frac { 8000\times 9.25 \times5.5}{100}

simple interest, x =\frac {74000 \times5.5}{100}

simple interest, x =\frac {407000}{100}

simple interest, x = 4070

<u>B) TOTAL AMOUNT TO BE PAID:</u>

Let the total amount paid after 66 months be Y

Then ,

Y = Principal amount + interest for 66 months

Y = 8000+ 4070

Y =12070

8 0
4 years ago
Please Help!
Alecsey [184]

The area that the dog can wander based on the information provided will be 931π.

<h3>How to calculate the area?</h3>

From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.

In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.

The area that the dog can wander will be:

= 3/4(π35²) + 1/4(π(35 - 28)²)

= 3/4π(35)² + 1/4π(7)²

= (3/4 × 1225)π + (1/4 × 49)π

= 918.75π + 12.25π

= 931π

Therefore, the area that the dog can wander based on the information provided will be 931π.

Learn more about area on:

brainly.com/question/25292087

#SPJ1

6 0
1 year ago
Jing has $800 to deposit into two different savings account. She will deposit $600 into an account that earns simple interest an
ivolga24 [154]

Answer:

the question answer is A

Step-by-step explanation:

7 0
3 years ago
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