All categories

3 years ago

I need help please (Proportions)

Mathematics

1 answer:

eimsori [14]3 years ago

6 0

A. 3

You have to know figure out as many sides as possible before setting up the ratio.

On the short leg the entire leg is equal to 20, and some part of the line is labeled as 12. So you do do 20-12 which would equal to 8. So the shorter part of the short leg equals to 8.

Then you do the long leg. The entire leg equals to 35. Some part of the long leg is labeled as 7x. So you can label the other part of the long leg as 35-7x.

Since you have the numbers for the ratio now, you can do the next steps.

The first step is picking a location and then going any direction.

When I solved it, I started at the top and went down.

8/35-7x=12/7x

Then you cross multiply.

8*7x=56x. 12*35-7x=420-84x

56x=430-84x

Add 84x on both sides

140x=420

Divide 140 in both sides

X=3

You might be interested in

11. Kamala borrowed 26400 from a bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at

oee [108]

<h2>Answer </h2>

Amount (A) = P[1 + (r/100)]n

Principal (P) = ₹ 26400

Time period (n) = 2 years 4 months

Rate % (R) = 15% compounded annually

<h3>Steps </h3>

First, we will calculate Compound Interest (C.I) for the period of 2 years

A = P[1 + (r/100)]n

= 26400[1 + (15/100)]²

= 26400[(100/100) + (15/100)]²

= 26400 × 115/100 × 115/100

= 26400 × 23/20 × 23/20

= 26400 × 1.3225

= 34914

C.I. = A - P

= 34914 - 26400

= 8514

Now, we will find Simple Interest (S.I) for the period of 4 months

Principal for 4 months after C.I. for 2 years = ₹ 34,914

S.I = PRT/100

Here T = 4 months = 4/12 years = 1/3 years

S.I. for 4 months = (1/3) × 34914 × (15/100)

= (1/3) × 34914 × (3/20)

= 34914/20

= 1745.70

Total interest for 2 years 4 months = 8514 + 1745.70

= 10259.70

Total amount for 2 years 4 months = 26400 + 10259.70

= ₹ 36659.70

<h3>So , the correct answer is ₹ 36659.70 . </h3>

6 0

3 years ago

Read 2 more answers

gallons of water can fill a pool that is 50 yards by 20 yards and is 9 feet deep? (Assume 7 1/2 gallons per cubic foot.)

saul85 [17]

L = 50 yards or 150 feet W = 20 yards or 60 feet H = 9 feet V = 150 * 60 * 9 V = 81000 cubic feet then multiply the volume, 81000, by 7.5, or 607,500 gallons.
hope i helped

6 0

3 years ago

Diagonal cross-section of a sphere produces which two dimensional shape

Leni [432]

Every cross-section of a sphere will be a circle.

Answer: circle

Any further questions about this? Or how I got my answer?

7 0

3 years ago

Please answer this correctly

4vir4ik [10]

Answer:

20 cups

Step-by-step explanation:

16 ounces = 1 pound

8 ounces = 1 cup

16 ounces = 2 cups

1 pound = 2 cups

10 pounds = 20 cups

6 0

3 years ago

Read 2 more answers

∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)

Mnenie [13.5K]

Parameterize the line segment $C$ by

$\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle$

where $t\in[0,1]$ . Then

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt$
$\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt$
$\mathrm ds=5\,\mathrm dt$

So the integral is

$\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt$
$=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt$
$=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516$

3 0

3 years ago