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3 years ago

Need help with graphing

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Plot these points
vertex: (-4,-7)
x intercepts: (-5.5,0), (-2.5, 0)
and those two other points
the graph should look something like this:

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A streetlamp has a 20 ft shadow that makes a 40° angle with the ground. which expression represents the height of the street lam

Oduvanchick [21]

Answer:

20 sin 40° ≈ 12.86 ft

Step-by-step explanation:

Let the height of the street lamp be x

Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.

sin 40° = x/20
x = 20sin 40°
x ≈ 12.86 ft

6 0

3 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Could anyone help me on this question?

Amanda [17]

Answer:

it A ;)

Step-by-step explanation:

7 0

3 years ago

Select the correct answer.

sergeinik [125]

Answer:

C. 1:27

Step-by-step explanation:

a²/b²=1/9 => a=1 and b=3

a³/b³=1³/3³=1/27

C. 1:27

8 0

3 years ago

Read 2 more answers

Please help me get this right I don’t know how to do it.

velikii [3]

Answer:

tan∠E=1/3

Step-by-step explanation:

Tangent or opposite/adjacent of angle E is segment HF/3 to solve for HF you can use sine of H opposite over hypotenuse or √8/HF=sin45°. Rearranging the equation you get √8/sin45°=HF and sin45°= 2√2 so √8/2√2=1 HF=1 now you know that tan(∠E)=1/3.

7 0

3 years ago