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alexandr402 [8]
3 years ago
11

Trapezoid QRST has two right angles. A 5in. altitude can be drawn dividing QRST into a rectangle and an isosceles right triangle

. The longer side of the rectangle measures 9 in. What is the area of the trapezoid?
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
The area of the trapezoid is 57.5 square inches.

If you draw out the description, you will see that your trapezoid can be divided into a rectangle that is 9 x 5 and an isosceles right triangle with a base of 5 and height of 5. 

Just find the areas of both and add them together.

Rectangle:
5 x 9 = 45

Triangle:
0.5 x 5 x 5 = 12.5

45 + 12.5 = 57.5
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The ___________ formula measures the length of a line segment or the distance between two points.
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The distance formula measures the length of a line segment or the distance between two points.

The hypotenuse is one of the two sides that forms the right angle of a triangle.

The altitude of a triangle is a line segment that extends from the vertex and is perpendicular to the side opposite the vertex.
8 0
4 years ago
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are fil
max2010maxim [7]

Answer:

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

Combinations Formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435

Probability:

P = \frac{D}{T} = \frac{45}{435} = 0.1034

10.34% probability that you both pick chocolate

8 0
3 years ago
Trig help ...............
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Letter D

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4 0
3 years ago
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What is the product of seven and eight decreased by “x” if x =15?
jekas [21]

Answer:

0

Step-by-step explanation:

product is another word for +

decreased is another word for -

____________________________

(7 + 8) - x

so

(7+8) - 15

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= 0

7 0
3 years ago
Read 2 more answers
Write 18z − 7 (−3 + 2z) in simplest form. Select True or False for each statement.
vfiekz [6]

Answer:

Simplest form = 4<em>z </em>+ 21

Case 1: True, Case II: false and Case III: true

Step-by-step explanation:

18<em>z </em>- 7( -3 + 2z)

= 18<em>z</em> + 21 - 14z

= 18<em>z</em> -14z + 21

= 4<em>z </em>+ 21

So, in the above expression we have two terms. First term is 4z and second term is 21.

So the first case is true. As the expression has two terms.

The coefficient of <em>z </em>is a number which is multiplied by <em>z</em>. Therefore, Second case is false as the coefficient of <em>z</em> is 4.

The constant is a number which is not multiplied by any variable. Therefore, third case is true as the constant number in above expression is 21.

8 0
3 years ago
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