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Zanzabum
1 year ago
10

Find the area of this trapezoid. Be sure to include the correct unit in your answer.14 ft16 ft7 ft17 ft

Mathematics
1 answer:
goblinko [34]1 year ago
7 0

The area of a trapezoid can be found through the formula

A=\frac{a+b}{2}\cdot h

where a and b are the bases and h the height, then,

\begin{gathered} A=\frac{14+7}{2}ft\cdot7ft \\ A=10.5ft\cdot7ft \\ A=73.5ft^2 \end{gathered}

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The school day begins at 7:55 a.m. and ends at 2:40 p.m. how long are you in school?
Mademuasel [1]

Think:

7:55 a.m. is 5 minutes (5/60 hrs) before 8 a.m.;

from 8 to noon it's 4 hours, and from noon to 2:40 p.m. is 2 2/3 hours.

Thus, you're in school 5/60 hrs + 4 hrs + 2 2/3 hrs, or

6 2/3 hrs + 5/60 hrs, or 6 40/60 hrs + 5/60 hrs, or

6 45/60 hrs, or 6 3/4 hrs.

Of course there are other ways in which you could do this problem:

4 hrs 5 min plus 2 hrs 40 min comes out to 6 hrs 45 min, or 6 3/4 hrs.

6 0
3 years ago
Which expression can be used to represent the phrase “four less than seven”?
alexira [117]

Answer:

c

4-7 is four less than 7.

7 0
3 years ago
Read 2 more answers
On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches
Gala2k [10]

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are given  that

f(x)=6(\frac{1}{3})^x

Function f decreases from quadrant  2 to quadrant 1 and approaches  y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

(x,y)\rightarrow (-x,y)

Using the rule then we get

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

By using

x^{-a}=\frac{1}{x^a}

Substitute x=-1

g(-1)=6\times (\frac{1}{3})=2

Substitute x=0

g(0)=6

Therefore,g(x)=6(3)^x is true.

8 0
3 years ago
Read 2 more answers
Help please with question 5-8, show the solution
ludmilkaskok [199]

For each of these problems, remember SOH-CAH-TOA.

Sine = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

5) Here we are looking for the cosine of the 30 degree angle. Cosine uses the adjacent side to the angle over the hypotenuse. Therefore, cos(30) = 43/50.

6) We have an unknown side length, of which is adjacent to 22 degrees, and the length of the hypotenuse. Since we know the adjacent side and the hypotenuse, we should use Cosine. Therefore, our equation to find the missing side length is cos(22) = x / 15.

7) When finding an angle, we always use the inverse of the trigonometry function we originally used. Therefore, if sin(A) = 12/15, then the inverse of that would be sin^-1 (12/15) = A.

8) We are again using an inverse trigonometry function here. We know the hypotenuse, as well as the side adjacent to the angle. Therefore, we should use the inverse cosine function. Using the inverse cosine function gives us cos^-1 (9/13) = 46 degrees.

Hope this helps!

8 0
3 years ago
Si sumamos cinco unidades al doble de un número el resultado es el mismo que si le sumaramos 7 unidades a dichos números.
vesna_86 [32]

Step-by-step explanation:

Primero tienes que encontrar el número que te encuentres con 5 y con el mismo número lo haces con 7.

3 0
3 years ago
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