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3 years ago

9

Anthony who is 5 feet tall stands 20 feet from a lamppost and casts a shadow that is 10 feet long. If he moves 5 feet closer to

the lamppost how long will his shadow be?

1 answer:

Sophie [7]3 years ago

3 0

15 feet tall
would be his shadow

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A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of t

Alexxandr [17]

Answer: A. 0.20

Step-by-step explanation:

Let A be the event of employees needed corrective shoes and B be the event that they needed major dental work .

We are given that : $P(A)=0.08\ ;\ P(B)=0.15\ ;\ P(A\cap B)=0.03$

We know that $P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Then, $P(A\cup B)=0.08+0.15-0.03= 0.20$

Hence, the probability that an employee selected at random will need either corrective shoes or major dental work : $P(A\cup B)= 0.20$

hence, the correct option is (A).

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4 years ago

Solve the following equation for 0° ≤ θ < 360°. Use the "^" key on the keyboard to indicate an exponent. For example, sin2x w

never [62]

<u>Answer-</u>

$\boxed{\boxed{x=90^{\circ},270^{\circ}}}$

<u>Solution-</u>

The given equation-

$\Rightarrow 2\sin^2 x-\cos^2 x-2=0$

As

$\sin^2 x+\cos^2 x=1\ \ \Rightarrow \cos^2 x=1-\sin^2 x$

Putting this,

$\Rightarrow 2\sin^2 x-(1-\sin^2 x)-2=0$

$\Rightarrow 2\sin^2 x-1+\sin^2 x-2=0$

$\Rightarrow 3\sin^2 x-3=0$

$\Rightarrow 3\sin^2 x=3$

$\Rightarrow \sin^2 x=1$

$\Rightarrow \sin x=\sqrt1$

$\Rightarrow \sin x=\pm 1$

$\Rightarrow \sin x=1,\ \sin x=-1$

$\Rightarrow x=\sin^{-1}(1),\ x=\sin^{-1}(-1)$

$\Rightarrow x=90^{\circ}+n360^{\circ},\ x=270^{\circ}+n360^{\circ}$

Where n=0, 1, 2, ......

As given 0° ≤ x < 360°, so putting n = 0

$\Rightarrow x=90^{\circ},\ x=270^{\circ}$

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4 years ago

In 2015, the median family income in the United States was $66,650. If the 90th percentile for the 2015 median four-person famil

Vsevolod [243]

Answer:

Step-by-step explanation:

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3 years ago

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Lorico [155]

The answer is Megan

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3 years ago

Please help me <br>i beg you <br>PLEASE HELP ME ASAP <br><br>I SWEAR TO GOD WILL MARK YOU BRAINIEST

daser333 [38]

Step-by-step explanation:

DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.

A) Calculate the bearings of D from A:

bearings of D from A =x

looking the picture:

x=48°+55°+180°

x+103°+180°

x=283°

B)Calculate the bearings of A from C:

bearings of A from C =y

180°+55°=y

y=235°

C) Calculate the distance between A and B:

The angle in B is 74° (Because 55°+51°+74°=180°)

Using the Law of sines:

$\frac{19}{sin(74)} =\frac{AB}{sin(51)} \\\\AB=19sin(51)sin(74)\\AB=14,2\\\\$

D)Calculate the distance between D and C:

Using the Law of cossines:

$DC^{2} =27^{2} +19^{2} -2*27*19*cos(48)\\DC=20,09$

E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:

The triangle HBA is rectangle

$\alpha =arctan(\frac{2,5}{19})$

α=7,49°

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3 years ago