An isosceles trapezoid has base angles of 45 degrees and bases of length 9 and 15. The area of the trapezoid is

Answer:

Khan academy says 22 is the correct answer

Step-by-step explanation:

It just does

The answer is 2304pi

The volume of the lollipop having the radius of 12 mm is 7241.14 [tex]mm^{3}[/tex].

Volume is the capacity of a container to hold something in its capacity. Like a drum can hold water.

The radius is given as 12 mm. The lollipop is having shape of sphere. The formula of volume of sphere is 4/3π[tex]r^{3}[/tex].

Volume =4/3π[tex]r^{3}[/tex].

Volume of lollipop is 4/3π[tex]12^{3}[/tex]

=4/3*22/7*576

=(88*1728)/21

=152064/21

=7241.14[tex]mm^{3}[/tex].

Hence the volume of lollipop having radius of 12 mm is 7241.14[tex]mm^{3}[/tex].

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Answer: A, C, E, & G

Step-by-step explanation:

The formula for computing the amount of simple interest is:

I = Prt

Where P = principal amount of the loan

             r = interest rate of the loan

             t = duration of the loan

Substituting the amounts in the formula,

I = (150,000) (6.5%) (3)

  = 29,250

To compute for the maturity value, you have to add the interest to the principal amount:

Maturity value = 150,000 + 29,250 = 179,250

To calculate the amount of interest and maturity value of a loan, use the formula: Interest = Principal × Rate × Time. In this case, the interest is $29,250 and the maturity value is $179,250.

To calculate the amount of interest and maturity value of a loan, we can use the formula:

Interest = Principal × Rate × Time

Maturity Value = Principal + Interest

In this case, the principal is $150,000, the rate is 6.5% (0.065 in decimal form), and the time is 3 years.

Step 1: Calculate the interest

Interest = $150,000 × 0.065 × 3 = $29,250

Step 2: Calculate the maturity value

Maturity Value = $150,000 + $29,250 = $179,250

Therefore, the amount of interest is $29,250 and the maturity value of the loan is $179,250.

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Answer:

21

Step-by-step explanation:

a = 6-3 = 3

b = 5 -(-2)= 7

Area = a*b = 3*7 = 21

The area of rectangle ABCD which is graphed in the coordinate plane with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is 21 unit².

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of the rectangle and (b) is the width of the rectangle.

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2), B(6, -2), C(6, 5), and D(3, 5).

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The distance from A to B is the length of the rectangle. The distance of line segment AB is,

[tex]W= \sqrt{(3-6)^2 + (-2-(-2))^2}\\W = \sqrt{(-3)^2 + (0)^2}\\W=\sqrt{9}\\W=3\rm\; units[/tex]

The distance from B to C is the width of the rectangle. The distance of line segment BC is,

[tex]L = \sqrt{(6-6)^2 + (-2-5)^2}\\L = \sqrt{(0)^2 + (-7)^2}\\L=\sqrt{49}\\L=7\rm\; units[/tex]

Thus, the area of rectangle ABCD is,

[tex]A=7\times3\\A=21\rm\; unit^2[/tex]

Hence, the area of rectangle ABCD which is graphed in the coordinate plane with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is 21 unit².

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The values of each angle are:

∠1 = 48

∠2 = 132

∠3 = 132

∠5 = 48

We have,

∠4 = 48

∠4 and ∠5 are corresponding angles.

so,

∠5 = 48

Now,

∠3 and ∠4 make a straight angle.

So,

∠3 + ∠4 = 180

∠3 = 180 - 48

∠3 = 132

Now,

∠2 and ∠3 are alternate angles.

So,

∠2 = ∠3 = 132

Now,

∠1 and ∠2 make a straight angle.

So,

∠1 + ∠2 = 180

∠1 = 180 - 132

∠1 = 48

Thus,

∠1 = 48

∠2 = 132

∠3 = 132

∠5 = 48

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The simplification 6x + 8 = 7x + 13 is one solution. The correct option is A.

There is just one correct answer to some equations. There is only one value for the variable in these equations that causes the equation to be true.

If you solve an equation and the result is a variable equal to a number, the equation has just one solution. There is only ever one real number solution to a quadratic problem. A system is deemed consistent if it has at least one solution.

A consistent system is independent if it only has one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.

Therefore, the correct option is A, one solution.

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Jason and his brother ate a total of one half of the pizza when their portions, one third and one sixth respectively, are combined. Therefore, one half of the pizza was left over.

To calculate this, we add the fractions of the pizza that were consumed together:

Jason's portion: 1/3
Brother's portion: 1/6

We find a common denominator, which is 6 in this case, and sum the fractions:

(2/6) + (1/6) = 3/6

After simplifying 3/6, which is one half, we subtract this from the whole pizza to find the portion that is left:

1 - 1/2 = 1/2

Therefore, one half of the pizza was left over after Jason and his brother had their portions.

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