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iren2701 [21]
2 years ago
15

A new plasma-screen television has purchase price of 8590 if sales tax on this purchase is 773.10, find the sales tax rate

Mathematics
1 answer:
Nataly [62]2 years ago
3 0

Answer:

9 %

Step-by-step explanation:

What % is 773.10 of $8,590?

X/100 = 773.10/8590 (x/100=is/of)

(733.10 * 100) / 8590

= 9

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Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus
aliya0001 [1]
What grade is this? I can get the answer of it but I forgot how
3 0
2 years ago
Read 2 more answers
Shane is using pieces of square paper to cover a cube shaped gift with sides that are 9 inches long to find out the area of the
nordsb [41]

Answer:

The area of the cube is 486 inches^2

Step-by-step explanation:

In this question, we are tasked with calculating the area of cube with side 9 inch.

Mathematically, the area can be calculated using the formula A = 6s^2

Now, what we need to do is to substitute 9 inches for s

Thus, A = 6 * 9^2

A = 6 * 81

A = 486 inches^2

3 0
3 years ago
Six times the number of cattle less 87 is 999
AveGali [126]
You have to translate the statement into a mathematical expression...

Six times the number of cattle, if we let c be the number of cattle is:

6c

Less 87 means to subtract 87 so

6c-87

is 999 means

=999

so all together we have:

6c-87=999  now we need to isolate the variable by itself on one side of the equal sign....

6c-87=999  add 87 to both sides

6c=1086  divide both sides by 6

c=181

So there are 181 cattle.
8 0
3 years ago
Use the tangent identity to
Lunna [17]

Answer:

tan(x)=\frac{44\sqrt{89}}{89}

Step-by-step explanation:

tan is defined as: tan(x)=\frac{opposite}{adjacent}

sin is defined as: sin(x)=\frac{opposite}{hypotenuse}

cos is defined as: cos(x)=\frac{adjacent}{hypotenuse}

We can also define tan as: tan(x)=\frac{sin(x)}{cos(x)}

because plugging in the definitions of sin and cos in we get: tan(x)=\frac{(\frac{opposite}{hypotenuse})}{(\frac{adjacent}{hypotenuse})}\\\\tan(x)=\frac{opposite}{hypotenuse}*\frac{hypotenuse}{adjacent}\\\\tan(x)=\frac{opposite}{adjacent}

which you'll notice is the original definition of tan(x)

So using this definition of tan(x) we can use the givens sin(x) and cos(x) to find tan(x)

sin(x)=\frac{44}{45}\\\\cos(x)=\frac{\sqrt{89}}{45}\\\\tan(x)=\frac{sin(x)}{cos(x)}

plugging in sin(x) and cos(x) we get:

tan(x)=\frac{\frac{44}{45}}{\frac{\sqrt{89}}{45}}\\\\tan(x)=\frac{44}{45}*\frac{45}{\sqrt{89}}\\\\tan(x)=\frac{44}{\sqrt{89}}

We usually don't like square roots in the denominator, and from here we want to rationalize the denominator which we do by removing the square root from the denominator.

We can do this by multiplying the fraction by: \frac{\sqrt{89}}{\sqrt{89}} which doesn't change the value of the fraction since it simplifies to 1, but it gets rid of the square root in the denominator

tan(x)=\frac{44}{\sqrt{89}}*\frac{\sqrt{89}}{\sqrt{89}}\\\\tan(x)=\frac{44\sqrt{89}}{89}

5 0
9 months ago
Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inche
Reika [66]

Answer:

34072.3 in³

Step-by-step explanation:

Step 1

The circumference of its base is 125.6 inches.

C= pi x diameter

Find the radius of the base

C/ π = Diameter

Diameter = 125.6 in/2

= 62.8 in

Step 2

The height of the cone is 33 inches.

Radius = Diameter/2

Radius = 62.8 in/2

= 31.4 in

Volume of a cone: V = (1/3)πr²h

= 1/3 × π × (31.4)² × 33

= 34072.33162 in³

Approximately = 34072.3 in³

Therefore, the volume of Nuala's cone is 34072.3 in³.

6 0
2 years ago
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