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diamong [38]
3 years ago
9

Find the area of the trapezoid.

Mathematics
2 answers:
solong [7]3 years ago
5 0
Add top and bottom number, divide by 2 then multiply by the height:

18 +6 = 24

24/2 = 12

 12 * 12 = 144 square inches

Vadim26 [7]3 years ago
4 0
Area of the trapezium = 1/2(18 + 6) x 12
Area of the trapezium = 144 in²

------------------------------------------------
Answer: Area = 144 in²
------------------------------------------------
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Line segment TS is tangent to circle O at point N.
garik1379 [7]

Answer:

  148°

Step-by-step explanation:

The measure of the intercepted arc QN is twice the measure of inscribed angle QNT.

  arc QN = 2(74°) = 148°

_____

<em>Comment on the question and answer</em>

Your description "on the circle between points Q and N" is ambiguous. You used the same description for both points P and R. The interpretation we used is shown in the attachment. If point P is on the long arc NQ, then the measure of arc QPN will be the difference between 148° and 360°, hence 212°. You need to choose the answer that matches the diagram you have.

__

We call angle QNT an "inscribed angle" because it is a degenerate case of an inscribed angle. The usual case has the vertex of the angle separate from the ends of the arc it intercepts. In the case of a tangent meeting a chord, the vertex is coincident with one of the ends of the intercepted arc. The relation between angle measure and arc measure remains the same: 1 : 2.

7 0
3 years ago
At a farm the ratio of cows to horses was 9:2. If there were 72 cows at the farm, how many horses were there?
bixtya [17]
Let the no. Of horses be x

9÷2 = 72÷x

X= 144÷9
No. Of horses = 16
4 0
3 years ago
Read 2 more answers
Esteban has a big jar of change in his room. He has 600 coins total, and 240 of them are pennies. What percentage of the coins a
Minchanka [31]
40%
\frac{240}{600}  =  \frac{ \times }{100 }  \\ 240 \times 100  =600 \times \\ 24000 \div 600  \\ 40 =  \times
7 0
3 years ago
Which is the more reasonable measurement of the distance between the tracks on a DVD: 7.4 ⋅ 10−4 mm or 7.4 ⋅ 104 mm? Justify you
EleoNora [17]

Answer:

A- 7.4 ⋅ 10−4 mm

Step-by-step explanation:

Well, to solve this problem, we must convert the number and / or the units in a more imaginable one.

We are given two choices:

a. 7.4 x 10^-4 mm

b. 7.4 x 10^4 mm

Converting the units and numbers into meters and general form, respectively. (What is meant by general form is not to write it in scientific notation).

a. 7.4 x 10^-4 mm (1 m / 1000 mm) = 0.00000074 m

b. 7.4 x 10^4 mm (1 m / 1000 mm) = 74 m

Now comparing the two values above, what do you think is the distance between the tracks on a DVD? Definitely NOT 74 m or else the DVD is extremely big. Therefore the correct is the smaller one.

8 0
1 year ago
Read 2 more answers
Y = x —6x+8 The equation above represents a parabola in the xy-plane. Which of the following equivalent forms of the equation di
forsale [732]

Answer:

y=(x-4)(x-2)

Step-by-step explanation:

Consider the given equation

y=x^2-6x+8

Factor form of a parabola: It displays the x-intercepts.

y=a(x-p)(x-q)          .... (1)

where, a is a constant and, p and q are x-intercepts.

So, we need to find the factored form of the given equation.

Splinting the middle term we get

y=x^2-4x-2x+8

y=x(x-4)-2(x-4)

y=(x-4)(x-2)         .... (2)

On comparing (1) and (2) we get

p=4,q=2

It means x-intercepts of the given parabola are 4 and 2.

Therefore, equivalent forms of the equation is y=(x-4)(x-2).

3 0
3 years ago
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