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Aleks [24]
3 years ago
8

What is the area of this trapezoid enter your answer in the box

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

9514 1404 393

Answer:

  336 cm^2

Step-by-step explanation:

The area of a trapezoid is given by the formula ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the base lengths, and h is the height. Filling in the values shown gives ...

  A = (1/2)(28 +14)(16) = (1/2)(42)(16) = 336 . . . . cm^2

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Please help me with this.
OLga [1]

Swapping rows alters the sign of the determinant:

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = - \begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix}

Multiplying a single row by a scalar scales the determinant by the same amount:

\begin{vmatrix} x & y & z \\ u & v & w \\ -8 & 2 & -12 \end{vmatrix} = -2 \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix}

Then

\begin{vmatrix} x & y & z \\ -8 & 2 & -12 \\ u & v & w \end{vmatrix} = -(-2) \begin{vmatrix} x & y & z \\ u & v & w \\ 4 & -1 & 6 \end{vmatrix} = 2\times(-6) = \boxed{-12}

8 0
2 years ago
Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are differe
eduard

There are no results for Consider the parent function f(x)=e^x and transformed function g(x)=-f(x)-4. Which features of function F function G are different

3 0
3 years ago
The time (X) to complete a standardized exam is approximately normal with a mean of 70 minutes and standard deviation of 10 minu
notka56 [123]

Answer:

77.88 minutes

Step-by-step explanation:

Given that :

Mean (m) = 70

Standard deviation (s) = 10

For 80% of student to complete the exam. In the given time

Using the formula :

Zscore = (X - mean) / standard deviation

80th percentile = 80/100 = 0.8 has a Zscore = 0.7881

0.7881 = (X - 70) /10

0.7881 * 10 = X - 70

7.881 = X - 70

7.881 + 70 = X

77.881 = X

Hence, 77.88 minutes should be given

5 0
3 years ago
You invest $5000 into an account that has a 2.7% annual interest rate and is compounded quarterly. Approximately how long will i
allsm [11]

Since the interest is compounded, we will have to use the compound interest formula.

We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.

5000 will go in for P because that's the starting amount.

2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.

Since the interest is compounded quarterly, n = 4.

After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.

4 0
2 years ago
Terrence says pi is a rational number since it is the ratio of a circle's circumference to its diameter. Why is
kari74 [83]

Answer:

(A) Pi cannot be written as a ratio of integers even if it represents a different ratio.

Step-by-step explanation:

A rational number is can be expressed as the quotient of two integers. It can either be a number with or without a decimal part when converted to decimals.

C = 2\pir and D = 2r

                C = \piD

Thus,          \pi = \frac{C}{D}

                     = \frac{22}{7}= 3.142857143...

Terrence was incorrect because Pi is an irrational number which cannot be represented by a simple fraction without approximation.

7 0
3 years ago
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