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3 years ago

What is the area of the trapezoid?

Mathematics

2 answers:

alekssr [168]3 years ago

8 0

Answer:

100 m^2.

Step-by-step explanation:

The area of a trapezoid = (h/2) (a + b) where h = the perpendicular distance between the 2 parallel sides and a and b are the lengths of the 2 parallel sides.

Here we have Area = (1/2 * 10) ( 8 + 12)

= 5 * 20

= 100 m^2.

Paul [167]3 years ago

8 0

Answer:

100

Step-by-step explanation:

So first you add the two bases 12+8=20. Then you multiply the sum to the height 20×10=200. Lastly, you divide that number by two 200÷2=100.

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What is the surface area of the figure

S_A_V [24]

Answer:

you multiply the first the square Indian that will give you the essay equals in a square

6 0

2 years ago

Dr. Sandoval, a farm veterinarian, just weighed a particular pig and found out it is 96 kilograms. The last time she checked, th

slega [8]

4% because 100=100% -4 =96

4 0

3 years ago

11. Write an equation for a line that is parallel to the line 6x - 3y = 15 and goes through the point

user100 [1]

Answer:

y = 2x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 3y = 15 ( subtract 6x from both sides )

- 3y = - 6x + 15 ( divide all terms by - 3 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = 2x + 8 ← equation of parallel line

3 0

3 years ago

Ancient paintings were found on cave walls in South America. The Carbon-14 in the paintings was measured and was found to be 19%

balu736 [363]

Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)

Step-by-step explanation:

The exponential decay model for Carbon- 14 is given by the followig formula:

$A=A_{o}e^{-0.0001211.t}$ (1)

Where:

$A$ is the final amount of Carbon- 14

$A_{o}=$ is the initial amount of Carbon- 14

$t$ is the time elapsed (the value we want to find)

On the other hand, we are told the current amount of Carbon-14 $A$ is $19\%=0.19$ , assuming the initial amount of Carbon-14 $A_{o}=$ is $100\%$ :

$A=0.19A_{o}$ (2)

This means: $\frac{A}{A_{o}}=0.19$ (2)

Now,finding $t$ from (1):

$\frac{A}{A_{o}}=e^{-0.0001211.t}$ (3)

Applying natural logarithm on both sides:

$ln(\frac{A}{A_{o}})=ln(e^{-0.0001211.t})$ (4)

$ln(0.19)=-0.0001211.t$ (5)

$t=\frac{ln(0.19)}{-0.0001211}$ (6)

Finally:

$t=13713.717years$ This is the age of the paintings and the option that is nearest to this value is C. 13839 years

6 0

3 years ago

Alex paid $17,520 for a new car.he will make equal payments each month for 4 years. What will be Alex’s monthly car payments?

timurjin [86]

Answer:

$365.00

Step-by-step explanation:

4 years times 12 months equals 48 months.

$17520.00 / 48=$365.00

6 0

3 years ago