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2 years ago

11

5.

1 answer:

enyata [817]2 years ago

7 0

Answer:

(E) 90°

Step-by-step explanation:

The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.

Any angle of a rectangle is 90°.

_____

Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.

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A right triangle, DEF, is shown below.<br><br> What is sin FDE?

RoseWind [281]

Answer:

22.6°

Step-by-step explanation:

Reference angle = <FDE

Side opposite to <FDE = 5

Hypotenuse = 13

The trigonometric ratios to apply is:

$sin(\theta) = \frac{opp}{hyp}$

Plug in the values

$sin(\angle FDE) = \frac{5}{13}$

$sin(\angle FDE) = 0.3846$

$\angle FDE = sin^{-1}(0.3846)$

$\angle FDE = 22.6$ (nearest tenth)

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3 years ago

2. Given the function f : x -> |x+8|, find the possible values of x when the image is 3.

Harman [31]

Answer:

f (x)=11

Step-by-step explanation:

f (x)= x + 8

f (3)= (3 +8)

=f(x) =11

**replace the x with a variable which is 3

3 0

3 years ago

Which two points in the graphed function have an average rate of change of 5?

photoshop1234 [79]

First of all, a positive average rate of change means that the function is increasing, so the answer can only be A->B or B->C.

The average rate of change is defined as

$A = \dfrac{f(b)-f(a)}{b-a}$

i.e. as the ratio between the vertical and horizontal gain.

In order to go from point A to point B, you gain 1 unit horizontally and 5 units vertically. So, the average rate of change is 5/1=5.

In order to go from point B to point C, you gain 1 unit horizontally and 3 units vertically. So, the average rate of change is 3/1=3.

6 0

3 years ago

Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will

Feliz [49]

Answer:

$W \le 6$

Step-by-step explanation:

Given

$Area = 60ft^2\ (max)$

$Length = 10ft$

Required

Represent the width as an inequality

First, we represent the area as an inequality.

$Area = 60ft^2\ (max)$

max as used above means less than or equal to.

So, we have:

$Area \le 60$

The area of a rectangle is:

$Area = L * W$

So, we have:

$L * W \le 60$

Substitute 10 for L

$10 * W \le 60$

Divide both sides by 10

$\frac{10 * W}{10} \le \frac{60}{10}$

$W \le \frac{60}{10}$

$W \le 6$

7 0

3 years ago

Factor this for me please!

Igoryamba

$-28x^2y^4+36xy^4+40y^4=-4y^4(7x^2-9x-10)=-4y^4(7x^2-14x+5x-10)\\\\-4y^4\left[(7x(x-2)+5(x-2)\right]=-4y^4(x-2)(7x+5)$

8 0

3 years ago