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2 years ago

Find the area of the trapezoid

Mathematics

1 answer:

scZoUnD [109]2 years ago

5 0

Answer:

16 cm²

Step-by-step explanation:

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Each bag of apples weighs 4 1/2 lb how much do 6 bags weigh?

Inessa [10]

Answer:

27 pounds

Step-by-step explanation:

You need to multiply 4.5 by 6.

Hope this helps.

7 0

3 years ago

Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u

Anton [14]

Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : $p=100x^{0.34} y^{0.66}$

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

72x+40y ≤ $270,000

Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

y=6750 units

Applying the expression for maximum production

$p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728$

Learn More

Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

#LearnwithBrainly

6 0

3 years ago

Need help with this confusing

Dahasolnce [82]

Answer:

The blanks are 18 and 20

equivalent ratios

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is -4 (-6x + 3) = 12

IgorC [24]

Answer: x = 1

Step-by-step explanation:

Simplifying

-4(-6x + 3) = 12

Reorder the terms:

-4(3 + -6x) = 12

(3 * -4 + -6x * -4) = 12

(-12 + 24x) = 12

Solving

-12 + 24x = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '12' to each side of the equation.

-12 + 12 + 24x = 12 + 12

Combine like terms: -12 + 12 = 0

0 + 24x = 12 + 12

24x = 12 + 12

Combine like terms: 12 + 12 = 24

24x = 24

Divide each side by '24'.

x = 1

Simplifying

x = 1

6 0

3 years ago

Read 2 more answers

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between

vagabundo [1.1K]

What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°

What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
</span>
x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m

∴The distance, x, between two landmarks is 69.31m

8 0

3 years ago