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Wittaler [7]
3 years ago
10

Find the area of the trapezoid. 15 m 12 m 18 m D 21 m

Mathematics
1 answer:
Nadya [2.5K]3 years ago
4 0
Split the shape into a rectangle and a triangle.
find the areas for the shapes then add together.
for the triangle:
12*6=72 (b*h)
72/2= 36
for the rectangle
15*12=180m
for the trapezoid
180m+36m= 216m^2
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True or false: The variable overhead rate variance uses the same basic formula as the labor rate variance except that the variab
Zanzabum

Answer:

True

Step-by-step explanation:

The variable overhead rate variance refers to the difference in two variables.

The Variables are

1. The actual variable manufacturing overhead

2. The expected variable overhead given the number of hours worked

Labor rate variance is evaluated by

AH(AR - SR)

AH = actual hours

AR = actual rate

SR = standard rate.

The variable overhead rate variance is also calculated the same way except that it replaces the direct labor rates with variable overhead rates

5 0
3 years ago
How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2<br> help plsss
Vikentia [17]

There are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

We have a polynomial function:

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)

Using the zero product property:

\rm \left x+1\right = 0 \ \ \ or \left x^6-x^5+x^4-3x^3+3x^2+4x-2\right = 0

After solving:

x = -1, x = -0.853, and x = 0.418 (using the graph method)

Thus, there are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

Learn more about Polynomial here:

brainly.com/question/17822016

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7 0
2 years ago
At what points on the graph of f(x)=2x^3-6x^2-27x is the slope of the tangent line -9?
Dmitriy789 [7]

Answer:

(-1, 19) and (3, -81)

Step-by-step explanation:

f(x) = 2x³ − 6x² − 27x

f'(x) = 6x² − 12x − 27

-9 = 6x² − 12x − 27

0 = 6x² − 12x − 18

0 = x² − 2x − 3

0 = (x + 1) (x − 3)

x = -1 or 3

f(-1) = 19

f(3) = -81

The points are (-1, 19) and (3, -81).

4 0
3 years ago
Which one have is the coldest temperature negative numbers or positive numbers
aalyn [17]

Answer:

Step-by-step explanat số âm vì số âm < số dương mà nhiệt đọ càng thấp thì càng lạnhion:

6 0
3 years ago
Bert uses a map to find his way around a state park. The map has a scale of 1 inch = 0.75 miles. He follows a path 6.75 miles fr
boyakko [2]

Answer:

9 inches

Step-by-step explanation:

6.75/.75 = 9 inches

4 0
3 years ago
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