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3 years ago

8

Explain the steps needed to find the area of a triangle AND a trapezoid.

1 answer:

Alexeev081 [22]3 years ago

8 0

Answer:

hi

Step-by-step explanation:

Both parallel sides are called bases. To find the area of a trapezoid we need to divide it into two triangles. Both triangles produced have the height h. The area of the trapezoid is the sum of the areas of the two triangles.

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Alabama papas must average 80 on five test . Scores on the first four test were 81 73 84 and 76 what is the lowest score she can

Salsk061 [2.6K]

She has to score at least 86 on her fifth test.

Further explanation:

We will use the average formula to find the fifth value.

Given

$Average\ required=80\\x_1=81\\x_2=73\\x_3=84\\x_4=76\\x_5=?$

We have to find x5

The formula for average is:

$x=\frac{Sum\ of\ values}{Total\ number\ of\ values}\\Here,\\n=5\\So,\\x=\frac{x_1+x_2+x_3+x_4+x_5}{5}\\Putting\ values\\80=\frac{81+73+84+76+x_5}{5}$

$80*5=314+x_5\\400=314+x_5\\x_5=400-314\\x_5=86$

She has to score at least 86 on her fifth test.

Keywords: Average, Word Problems

Learn more about average at:

#LearnwithBrainly

7 0

3 years ago

Which is the solution set of the inequality 15y-9<36

m_a_m_a [10]

15y - 9 <36.
Add 9 to each side.

15y- 9 (+9) < 36 + 9.
15y < 45.
y < 3.
Hope it helps! :)

7 0

3 years ago

Read 2 more answers

in a certain store, the regular price of a refrigerator is $600. how much money is saved by buying the refrigerator at 20% off t

Advocard [28]

60$. These are my equations :
600 * 0.2 = 120 ; 600 - 120 = 480
Then...
600 * 0.1 = 60 ; 600 - 60 = 540
Which then became....
540 - 480 = 60

6 0

2 years ago

Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1 = x2 + 2x + 3 y2 = 2x + 12F

Svet_ta [14]

Answer:

$A = \int\limits^3__-3}{9}-{x^{2}} \, dx = 36$

Step-by-step explanation:

The equations are:

$y = x^{2} + 2x + 3$

$y = 2x + 12$

The two graphs intersect when:

$x^{2} + 2x + 3 = 2x + 12$

$x^{2} = 0$

$x_{1} = 3\\x_{2} = -3$

To find the area under the curve for the first equation:

$A_{1} = \int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

To find the area under the curve for the second equation:

$A_{2} = \int\limits^3__-3}{2x + 12} \, dx$

To find the total area:

$A = A_{2} -A_{1} = \int\limits^3__-3}{2x + 12} \, dx -\int\limits^3__-3}{x^{2} + 2x + 3} \, dx$

Simplifying the equation:

$A = \int\limits^3__-3}{2x + 12}-({x^{2} + 2x + 3}) \, dx = \int\limits^3__-3}{9}-{x^{2}} \, dx$

Note: The reason the area is equal to the area two minus area one is that the line, area 2, is above the region of interest (see image).

3 0

2 years ago

A discounted concert ticket costs $14.50 less than the original price p. You pay $53 for a discounted ticket. Write an equation

Bingel [31]

Answer:

p - 14.5 = 53

Step-by-step explanation:

The original price is p.

The discounted price is $14.50 less than p, or $14.50 subtracted from p. The discounted price is p - 14.5.

The discounted price is $53

Equation:

p - 14.5 = 53

5 0

2 years ago