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3 years ago

If you can help that will be great

Mathematics

2 answers:

arsen [322]3 years ago

8 0

Answer:

The game (including tax) would cost $31.80

Step-by-step explanation:

6% of 30.00 is 1.8 so sales tax would be $1.80

$30.00 + $1.80 = $31.80

fiasKO [112]3 years ago

6 0

Answer:

$31.8

Step-by-step explanation:

here's your solution

=> Cost of video game = $30

=> sale tax = 6%

=>now we need to calculate 6% of $30

=> 6/100*30 = $1.8

=> sale tax = $1.8

=> cost of video game including tax = $30 + $1.8

=> $31.8

hope it helps

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SOMEEEEONEEE pls help pls and thx :)

alekssr [168]

1) The sculptor created a marble basin with an approximate volume of 94,509.6 cubic centimeters - Option D, 2) The approximate area of the heart-shaped cake is 283 square inches - Option B, 3) The length of the wooden frame around the window is 94.3 inches - Option B.

In this question we should make use of geometric formulas for volumes and areas and key information from statement in order to find the right choices.

1) In this case, the volume occupied by the marble water basin ( $V$ ), in cubic centimeters, by subtracting the volume of the hemisphere from the volume of the cylinder:

$V = \pi\cdot R^{2}\cdot h - \frac{2\pi}{3} \cdot r^{3}$ (1)

Where:

$R$ - Radius of the cylinder, in centimeters.
$h$ - Height of the cylinder, in centimeters.
$r$ - Radius of the cylinder, in centimeters.

If we know that $R = 30\,cm$ , $h = 45\,cm$ and $r = 25\,cm$ , then the volume of the marble is:

$V = \pi \cdot (30\,cm)^{2}\cdot (45\,cm) - \frac{2\pi}{3}\cdot (25\,cm)^{3}$

$V \approx 94509.579\,cm^{3}$

The right choice is D.

2) To determine the approximate surface area of the cake covered in red frosting ( $A_{s}$ ), in square inches, we need to find the sum of the surface area of the entire circle and the surface area of the square:

$A_{s} = l^{2} + 2\cdot l\cdot h + \frac{\pi}{4}\cdot D^2 + \pi \cdot D\cdot h$ (2)

Where:

$l$ - Side length of the square, in inches.
$h$ - Height of the cakes, in inches.
$D$ - Diameter of the cakes, in inches.

If we know that $l = 9\,in$ , $h = 3\,in$ and $D = 9\,in$ , then the approximate area covered in red frosting:

$A_{s} = (9\,in)^{2} + 2\cdot (9\,in)\cdot (3\,in) + \frac{\pi}{4}\cdot (9\,in)^{2} + \pi \cdot (9\,in)\cdot (3\,in)$

$A_{s} \approx 283.440\,in^{2}$

The right choice is B.

3) The frame around the window is found by means of the following perimeter formula ( $s$ ), in inches:

$s = \pi\cdot r + 2\cdot h + 2\cdot r$ (3)

Where:

$r$ - Radius, in inches.
$h$ - Height of the rectangle, in inches.

If we know that $r = 9\,in$ and $h = 24\,in$ , then the length of the frame around the window is:

$s = \pi\cdot (9\,in) + 2\cdot (24\,in) + 2\cdot (9\,in)$

$s \approx 94.274\,in$

The right choice is B.

We kindly invite to see question on volumes: brainly.com/question/1578538

7 0

3 years ago

Find the slope of the line passing through the points (3,-1) and (3, -6).

saveliy_v [14]

Answer:

Undefined

Step-by-step explanation:

Slope formula:

y2-y1/x2=x1

In (3,-1), 3 is x1 and -1 is y1

In (3, -6), 3 is x2 and -6 is y2

-6-(-1)/3-3

Which is -5/0

And that couldn't happen in a slope

So the answer is undefined

Hope this helps!

7 0

2 years ago

musickatia [10]

Answer:

the longest side of the first triangle is 32 cm

Step-by-step explanation:

Given;

dimension of the smaller triangle = 4.5cm 6cm and 8 cm.

the longest side of this smaller triangle = 8 cm

Perimeter of the first triangle = 74 cm

let the increase in dimension of the similar first triangle = x

the longest side of the first triangle = 8x

4.5x + 6x + 8x = 74

18.5x = 74

x = 74/18.5

x = 4

the longest side of the first triangle = 8 x 4 = 32 cm

7 0

3 years ago

Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x)=2^x-5

deff fn [24]

A function assigns the values. The correct option is C.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The complete question is:

Function h is a transformation of the parent exponential function. Which statement is true about this function? h(x) = 2^(x-5)

As x approaches negative infinity, h(r) approaches negative infinity.

As x approaches positive infinity, h(t) approaches 0.

As x approaches positive Infinity, h(t) approaches positive infinity.

As x approaches negative infinity, h(a) approaches positive infinity.

The graph of the function is given below, as it can be observed that as x approaches positive Infinity, h(t) approaches positive infinity.

Hence, the correct option is C.

Learn more about Function:

brainly.com/question/5245372

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