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2 years ago

Find the area of the trapezoid

Mathematics

2 answers:

lidiya [134]2 years ago

4 0

area = ( top rule + bottom rule ) × height / 2

area = ( 2 + 3 ) × 4 / 2

area = 5 × 4 / 2

area = 20 / 2

area = 10

nikdorinn [45]2 years ago

3 0

The area is 10. You can just count the squares and the half squares

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Please help with the steps as well!!

mariarad [96]

To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.

a = y = 36.25cm

b = x = 20.93cm

a^2 + b^2 = c^2

(36.25)^2 + (20.93)^2 = c^2

1314.0625 + 438.0649 = c^2

√1752.1274 = √c^2

c = 41.8584209 ≈ 41.86

So your final answer is...

The length of the hypotenuse is about 41.86 cm.

4 0

2 years ago

Please answer this question!!!!

Harrizon [31]

Answer:

Triangle line BC is the Opposite if A is Theta. And Triangle line BC would be adjacent if B is Theta. This means however this is not the hypotenuse

4 0

2 years ago

A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se

nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = $x$

Let number of units of second product = $y$

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

$10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow 5x+4y = 2160...... (2)$

Multiplying equation (2) with 2 and subtracting equation (1) from it:

$8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}$

By equation (1):

$10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}$

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0

2 years ago

Value discounting refers to the fact that the percieved value of the reinforcer is less the longer you have to wait for it. See

vekshin1

Answer:

there is an economic principle that states that 1 dollar today is worth more than 1 dollar in the future, since an invested dollar could earn interests and gain value.

For example, we can assume a 6% interest rate (0.5% monthly interest rate), and using the present value formula we can determine the present value of $100:

given to us in 30 days = $100 / (1 + 0.5%)¹ = $99.50
given to us in 150 days = $100 / (1 + 0.5%)⁵ = $97.54
given to us in 300 days = $100 / (1 + 0.5%)¹⁰ = $95.13

In order to calculate the value of $100 given to us tomorrow, we would need to determine a daily interest rate = 6% / 360 = 0.00017

$100 given to us tomorrow = $100 / (1 + 0.00017)¹ = $99.98

since the amount of money is not that large and the interest rate is rather low, the difference in value is not that large. But imagine if you used a 24% interest rate instead of 6% (monthly interest rate = 2%)

$100 given to us in 30 days = $100 / (1 + 2%)¹ = $98.04
$100 given to us in 150 days = $100 / (1 + 2%)⁵ = $90.57
$100 given to us in 300 days = $100 / (1 + 2%)¹⁰ = $82.03

as the interest rate increases, the present value decreases.

5 0

2 years ago

What is 7 + 8(2r - 9)

Shalnov [3]

7 + 8(2r - 9)

mutiply the bracket by 8

(8)(2r)= 16r

(8)(-9)= -72

7+16r-72

7-72+16r ( rearranging)

answer:

-65+16r or 16r-65

4 0

2 years ago

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