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2 years ago

Which of the following is the standard form of the equation 5x2 - 20x = 15?

Mathematics

1 answer:

Finger [1]2 years ago

5 0

x= +7 or x=2-7 let me know if you need an explanation <3

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From an observation deck, Matt spots two deer to the right of the observation deck, standing 108 feet apart in a field below. Th

TEA [102]

Answer:

The height of the observation deck is approximately 47.266 feet.

Step-by-step explanation:

We include a geometrical representation of the statement in the image attached below. Let be O the location of the observation deck, and A and B the locations of the two deers, which are 108 feet apart of each other. By knowing that sum of internal angles within triangle equals 180º. The angles O, B and A are now determined:

$\angle O = 36.283^{\circ}-15.333^{\circ}$

$\angle O = 20.950^{\circ}$

$\angle B = 180^{\circ}-90^{\circ}-(90^{\circ}-15.333^{\circ})$

$\angle B = 15.333^{\circ}$

$\angle A = 180^{\circ}-\angle O - \angle B$ (1)

$\angle A = 180^{\circ}-20.950^{\circ}-15.333^{\circ}$

$\angle A = 143.717^{\circ}$

By the law of Sine we determine the length of the segment OB:

$\frac{AB}{\sin O} = \frac{OB}{\sin A}$ (2)

$OB = \left(\frac{\sin A}{\sin O}\right)\cdot AB$

If we know that $\angle A = 143.717^{\circ}$ , $\angle O = 20.950^{\circ}$ and $AB = 108\,ft$ , then the length of the segment OB is:

$OB = \left(\frac{\sin 143.717^{\circ}}{\sin 20.950^{\circ}} \right)\cdot (108\,ft)$

$OB \approx 178.747\,ft$

Lastly, we determine the height of the observation deck by the following trigonometric identity:

$d = OB\cdot \sin B$ (3)

If we know that $OB \approx 178.747\,ft$ and $\angle B = 15.333^{\circ}$ , then the height of the observation deck is:

$d = (178.747\,ft)\cdot \sin 15.333^{\circ}$

$d\approx 47.266\,ft$

The height of the observation deck is approximately 47.266 feet.

8 0

2 years ago

X: -3, 2, 7, 12<br> Y: 0, 2, 4, 6<br> Whats the slope ?

jeka94

Answer:

The Slope in 7,2

Step-by-step explanation:

5 0

2 years ago

What is 175% of 300

kap26 [50]

Answer:

525

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The total weight of 15 containers on a freight train is 330 tonnes. What is the mean weight of the containers?

svetoff [14.1K]

Answer:

the mean weight is 22 tonnes

Step-by-step explanation:

mean=total sum/number of numbers you added

in this case the question already gave you the total so just divide right away

mean weight= 330/15 = 22 tonnes

6 0

2 years ago

The graph of F(x), shown below, has the same shape as the graph of G(X) =

defon

Answer: (X-3)^4

Step-by-step explanation:

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted b units to the right.

Therefore, the equation is $F(x) = G(x-3) = (X-3)^4$

7 0

2 years ago