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3 years ago

At a sale, dresses were sold for $140 each. If the dresses originally cost $200 each,

Mathematics

1 answer:

Jet001 [13]3 years ago

5 0

Answer:

30%

Step-by-step explanation:

140 is 70% of 200 which means that the dresses were on sale by 30%

140/200 =

140 ÷ 200 =

0.7 =

0.7 × 100/100 =

0.7 × 100% =

(0.7 × 100)% =

70%;

Then subtract from 100% to get 30%

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A farmer has a field in the shape of a triangle. The farmer has asked the manufacturing class at your school to build a metal fe

Finger [1]

Answer:

Fencing required = 1586 m

Step-by-step explanation:

The given statements can be thought of a triangle $\triangle ABC$ as shown in the diagram attached.

A be the 1st vertex, B be the 2nd vertex and C be the 3rd vertex.

Distance between 1st and 2nd vertex, AB = 435 m

Distance between 2nd and 3rd vertex, AC = 656 m

$\angle A =49^\circ$

To find:

Fencing required for the triangular field.

Solution:

Here, we know two sides of a triangle and the angle between them.

To find the fencing or perimeter of the triangle, we need the third side.

Let us use Cosine Rule to find the third side.

Formula for cosine rule:

$cos A = \dfrac{b^{2}+c^{2}-a^{2}}{2bc}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$\Rightarrow cos 49^\circ = \dfrac{656^{2}+435^{2}-BC^{2}}{2\times 435\times 656}\\\Rightarrow BC^2 = 430336+189225-2 (435)(656)cos49^\circ\\\Rightarrow BC^2 = 430336+189225-570720\times cos49^\circ\\\Rightarrow BC^2 =619561-570720\times cos49^\circ\\\Rightarrow BC \approx 495\ m$

Perimeter of the triangle = Sum of three sides = AB + BC + AC

Perimeter of the triangle = 435 + 495 + 656 = 1586 m

Fencing required = 1586 m

4 0

3 years ago

22. What is the product of (8-37(3 + 21)

Roman55 [17]

Answer:

I believe its -800, but i'm not sure.

7 0

3 years ago

Need help Write 6/10 as a percent, decimal

gayaneshka [121]

6 divided by 10 would be 60 percent and .60 as a decimal

4 0

3 years ago

Read 2 more answers

The tax rate on Jerome Jame's $112,000 vacation home is 25 mills. The property is assessed at full value. How much will Jerome p

Sergio039 [100]

Answer: A. $2,800

Step-by-step explanation:

Given: The value of Jerome's home= $112,000

Thus, the assessment of the property = $112,000

We know that to calculate the property tax, multiply the assessment of the property by the mill rate and divide by 1,000.

Thus, the property tax $=112000\times\frac{25}{1000}=\$2,800$

Hence, Jerome pay $2,800 in tax.

Therefore, A is the right answer.

6 0

3 years ago

Read 2 more answers

Samantha is taking out a loan for $17,452 at 6% simple interest for one year. How much interest will she pay?

andrew11 [14]

Answer:

She will pay $1,047.12 interest for one year

Step-by-step explanation:

Simple Interest

Occurs when interest is calculated on the original principal only.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance or loan

r = interest rate

t = time

Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

$I=\$17,452*0.06 *1$

I = $1,047.12

She will pay $1,047.12 interest for one year

6 0

3 years ago