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3 years ago

6

Justin gave the clerk $20 to pay a bill of $6.57. How much change should Justin get?

1 answer:

ankoles [38]3 years ago

3 0

The answer is $13.43.
you can use a calculator

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Hi there. I am having an issue figuring out which is the base and which is the length.

Paha777 [63]

We can split the given figure in 2 right triangles:

So, in order to get the area of each triangle, we need to find the base, denoted by x in both of them. Since both are right triangles, we can to apply Pythagoresn theorem. By applying this theorem to right hand side triangle, we have

$x^2+8^2=17^2$

so we have

$\begin{gathered} x^2+64=289 \\ then \\ x^2=289-64 \\ x^2=225 \end{gathered}$

Then, x is given by

$x=\sqrt{225}=15$

Then, the area of the left triangle is given by

$A_1=\frac{base\times height}{2}=\frac{15\times36}{2}=270in^2$

Similarly, the area of the second triangle is given by

$A_2=\frac{base\times height}{2}=\frac{15\times8}{2}=60in^2$

Then, the area of the entire figure is the sum of the area of the 2 triangles, that is,

$A=A_1+A_2=270+60=330in^2$

Therefore, the answer is: 330 square inches

8 0

10 months ago

Simplify 79.5-2.58 x (3.63-1.63) to the third power

trapecia [35]

Answer:

a

Step-by-satep explanation:

3 0

2 years ago

the height of a tree was 8 feet. after a year, tree's height increased by 25%. use a bar diagram to find the new height of the t

marysya [2.9K]

8×.25=2
8-2=6
so what you would do is make a bar graph where the y axis would be years and the x axis being height

5 0

3 years ago

based on the function F(x)=x^4-3x^2-1 and the graph of G(x) below, which of the following statements is true?

Snezhnost [94]

Answer:

Step-by-step explanation:

A function has a root only if cuts the x axis .

If it cuts once it means it has one real root, if twice then two roots and so on .

Here in the graph of G(x) shown ,it never crosses the x axis so we can say that there is no real root of the given function G(x).

It means the option A which states G(x) has zero roots is correct.

8 0

3 years ago

LaTeX: \sqrt[]{36} 36 2) LaTeX: \sqrt[3]{-8} − 8 3 3) LaTeX: -\sqrt[]{100} − 100 4) LaTeX: \sqrt[3]{27} I'm sorry that's the bes

Mamont248 [21]

Given:

Consider the expression are

1) $\sqrt{36}$

2) $\sqrt[3]{-8}$

3) $-\sqrt{100}$

4) $\sqrt[3]{27}$

To find:

The simplified form of each expression.

Solution:

1. We have,

$\sqrt{36}=\sqrt{6^2}$

$\sqrt{36}=6$

Therefore, the value of this expression is 6.

2. We have,

$\sqrt[3]{-8}=(-8)^{\frac{1}{3}}$

$\sqrt[3]{-8}=((-2)^3)^{\frac{1}{3}}$

$\sqrt[3]{-8}=(-2)^{\frac{3}{3}}$

$\sqrt[3]{-8}=-2$

Therefore, the value of this expression is -2.

3. We have,

$-\sqrt{100}=-\sqrt{10^2}$

$-\sqrt{100}=-10$

Therefore, the value of this expression is -10.

4. We have,

$\sqrt[3]{27}=(27)^{\frac{1}{3}}$

$\sqrt[3]{27}=(3^3)^{\frac{1}{3}}$

$\sqrt[3]{27}=(3)^{\frac{3}{3}}$

$\sqrt[3]{27}=3$

Therefore, the value of this expression is 3.

3 0

3 years ago