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2 years ago

Answer all..............

Mathematics

1 answer:

Snowcat [4.5K]2 years ago

7 0

$3 - \frac{2}{3} = 2 \frac{1}{3}$

$4 + \frac{2}{5} = 4 \frac{2}{5}$

$5 \div \frac{4}{7} = 8 \frac{3}{4}$

$\frac{4}{5} \times \frac{2}{3 } = \frac{8}{15}$

$\frac{1}{3} \div \frac{3}{5} = \frac{5}{9}$

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Help me please I don't get it

julsineya [31]

Answer:

it's the last one

Step-by-step explanation:

to find the perimeter, you must add all the sides.

25 plus 25 is 50

multiple x by two for both sides and that will give you the perimeter of 70

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2 years ago

This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

<u>1) Determine what is required for the answers</u>

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

<u>2) Prove similarity</u>

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

<u>3) Solve for part A</u>

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

<u>4) Solve for part B</u>

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

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3 years ago

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Leokris [45]

Answer:

What is the question?

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3 years ago

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest

34kurt

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

$\rm t = \dfrac{72}{r}$

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The time for the Jill will be

$\rm t = \dfrac{72}{6}\\\\t = 12\\$

The time for the Cheryl will be

$\rm t = \dfrac{72}{4}\\\\t = 18\\$

More about the Algebra link is given below.

brainly.com/question/953809

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1 year ago