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3 years ago

If the sales tax on 150 is 7.50, what is the percent of sales tax?

Mathematics

1 answer:

Solnce55 [7]3 years ago

4 0

5 percent is the answer.

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In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

xz_007 [3.2K]

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD (∵Given)

∠ACB=∠CAD (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

$\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}$

Comparing first two, we get

⇒ $\frac{x}{27}=\frac{12}{x}$

⇒ $x^2=27\times 12$

⇒ $x=\sqrt324=18$

hence, the length of diagonal is 18 m

4 0

3 years ago

Imagine you find a property with a market value of $330,000, and the seller agrees tosell it to you for $275,000. You flip the p

Taya2010 [7]

First let's calculate the profit in the deal, subtracting the market value and the selling value:

$330000-275000=55000$

So the profit is $55,000.

Now, calculating the fee of 10% of the profit, we have:

$10\text{\% of }55000=0.1\cdot55000=5500$

So the fee is $5,500, therefore the correct option is the fourth one.

6 0

1 year ago

Isosceles Triangles

Pepsi [2]

Answer:

considering angle a to 40

b and c.....= 50 both

4 0

3 years ago

What is the area of a Reuleaux triangle that has a diameter of 18.6 m? Round your answer to the nearest tenth.

pav-90 [236]

The Reuleaux triangle is shown in the attached figure

we know that

the area of a Reuleaux triangle is equal to

$A=\frac{1}{2} *(\pi -\sqrt{3} )*r^{2}$

where

r=18.6/2--------> r=9.3 m

$A=\frac{1}{2} *(\pi -\sqrt{3} )*9.3^{2}$

$A=60.96$

therefore

the answer is

61 m²

4 0

3 years ago

If y is directly proportional to x , and y = 46 when x = 4, what is the value of x when y = 23?

MatroZZZ [7]

When y = 46 , x=4

23(4)=46x

(92)\46=x

X=2

5 0

3 years ago