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3 years ago

HELPPPP. what is the area of the trapezoid?

Mathematics

2 answers:

expeople1 [14]3 years ago

4 0

Answer:

Option 1: 176 cm^2

Step-by-step explanation:

In order to find the area of trapezoid, we need to know the length of two sides(bases) and the vertical height to trapezoid

Here in the given trapezoid

base1 = a = 10cm

base2 = b= 12cm

and

h = 16 cm

The formula for area of trapezoid is:

$Area = \frac{1}{2} (a+b)*h$

Putting the values

$= \frac{1}{2} (10+12) * 16$

$= \frac{1}{2} (22)(16)$

$= \frac{1}{2} * 352$

$Area = 176 cm^{2}$

Option 1 is the correct answer..

Alex3 years ago

3 0

Answer:

$Area=176cm^2$

Step-by-step explanation:

The area of a trapezoid is calculated using the formula:

$Area=\frac{1}{2}(Sum\:of\:bases)\times height$

We substitute the values into the formula to obtain:

$Area=\frac{1}{2}(12+10)\times16$

We simplify the parenthesis to get:

$Area=\frac{1}{2}(22)\times16$

We simplify further to obtain;

$Area=176cm^2$

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melomori [17]

Answer:

B=45

Step-by-step explanation:

let the supplamentary angle of <A is <d

180-A=d

180-135=d

45=d

90+d+B=180

90+45+B=180

135+B=180

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2 years ago

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3 years ago

The equations of two functions are y=-21x+9 and y=24x+8 which function is changing more quickly? Explain

antoniya [11.8K]

Given:

The equations are

$y=-21x+9$

$y=24x+8$

To find:

Which function is changing more quickly.

Solution:

The slope intercept form of a line is

$y=mx+b$

Where m is slope and b is y-intercept.

On comparing $y=-21x+9$ with the slope intercept form, we get

$m_1=-21$

$|m_1|=|-21|$

$|m_1|=21$

On comparing $y=24x+8$ with the slope intercept form, we get

$m_2=24$

$|m_2|=24$

Since, $|m_1|$ , it means the absolute rate of change of second function is greater than the first function.

Therefore, the second function is changing more quickly.

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3 years ago

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV

JulijaS [17]

Answer:

$\frac{dT}{dt}=3.78^{\circ}K/min$

Step-by-step explanation:

We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

$\frac{dT}{dt} =\frac{d\frac{PV}{nR}}{dt}=\frac{1}{nR}\frac{d(PV)}{dt}$

What we have to do is the derivative of a product:

$\frac{d(PV)}{dt}=P\frac{dV}{dt}+V\frac{dP}{dt}$

Substituting, we have:

$\frac{dT}{dt} =\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}$

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.

We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

$\frac{dT}{dt}=\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}=\frac{(8atm)(0.16L/min)+(13L)(0.14atm/min)}{(10mol)(0.0821Latm/mol^{\circ}K)}$

And then just calculate:

$\frac{dT}{dt}=3.78^{\circ}K/min$

6 0

3 years ago

Hey there! posted picture of question help please

kakasveta [241]

For this case we have the following function:
f (x) = (1/3) * (4 ^ x)
We must evaluate the function for x = 2
We have then:
f (2) = (1/3) * (4 ^ 2)
Rewriting:
f (2) = (1/3) * (16)
f (2) = 16/3
Answer:
The function evaluated at x = 2 is:
f (2) = 16/3
option A

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3 years ago