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Fiesta28 [93]
4 years ago
7

Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales ta

x of 7.5%. What was the total cost of the battery in dollars and cents?
Mr. Stewart spent $77.40 on his new car battery.
Mathematics
1 answer:
Sladkaya [172]4 years ago
7 0

Answer: $77.40

Step-by-step explanation:

First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.

The total cost of the battery was $77.40.

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What is the area of this polygon?
Tatiana [17]

316 cm²

A polygon is given to us and we are interested in finding out the area of the polygon .

  • Here we can see that the polygon is made up of a rectangle and a triangle .

We can separately find out their areas and then add them up to find out the area of the polygon.

So that ,

\sf\longrightarrow Area = ar(\triangle)+ ar(\blacksquare)  \\

  • We know that the area of rectangle is length × breadth and that of triangle is 1/2 × base × height . So ,

\sf\longrightarrow Area = \dfrac{1}{2}(base)(height) + (length)(breadth) \\

  • Here height of triangle can be calculated by subtracting the lengths 18cm and 14cm and its base can be calculated by subtracting CD from BD ( see figure in attachment.)

\sf\longrightarrow Area = \dfrac{1}{2}(4cm)(11cm)+(21cm)(14cm)\\

\sf\longrightarrow Area = 22cm^2 + 294cm^2\\

\sf\longrightarrow \underline{\boxed{\bf Area_{(polygon)}= 316cm^2}} \\

4 0
3 years ago
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Help Asap Please!!!!<br><br> What is the difference between slope and slope intercept
Alexus [3.1K]

Answer: What is the difference between a slope and an intercept? ... the equation of a straight line. the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept

Step-by-step explanation:

(when the equation is written as "y = mx + b"),

(that is, the point where the line crosses the vertical y-axis)

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3 years ago
Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −8) and
NNADVOKAT [17]

Answer:

The vector equation of the line is \overrightarrow {r}=(11j-8k)+t(4i-4j+6k) and parametric equations for the line are x=4t, y=11-4t, z=-8+6t.

Step-by-step explanation:

It is given that the line passes through the point (0,11,-8) and parallel to the line

x=-1+4t

y=6-4t

z=3+6t

The parametric equation are defined as

x=x_1+at,y=y_1+bt,z=z_1+ct

Where, (x₁,y₁,z₁) is point from which line passes through and <a,b,c> is cosine of parallel vector.

From the given parametric equation it is clear that the line passes through the point (-1,6,3) and parallel vector is <4,-4,6>.

The required line is passes through the point (0,11,-8) and parallel vector is <4,-4,6>. So, the parametric equations for the line are

x=4t

y=11-4t

z=-8+6t

Vector equation of a line is

\overrightarrow {r}=\overrightarrow {r_0}+t\overrightarrow {v}

where, \overrightarrow {r_0} is a position vector and \overrightarrow {v} is cosine of parallel vector.

\overrightarrow {r}=(11j-8k)+t(4i-4j+6k)

Therefore the vector equation of the line is \overrightarrow {r}=(11j-8k)+t(4i-4j+6k) and parametric equations for the line are x=4t, y=11-4t, z=-8+6t.

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(x-6)^2 is the answer  
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So because we draw a card randomly, every card has the same probability of being drawn. Then the probability of randomly drawing a diamond card is equal to the quotient between the number of diamond cards and the total number of cards.

There are 13 diamond cards and a total of 52 cards, then the probability is:

P = 13/52 = 1/4

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