From the observation deck of a skyscraper,
Taylor measures a 67° angle of depression
to a ship in the harbor below. If the
observation deck is 1014 feet high, what is
the horizontal distance from the base of the
skyscraper out to the ship? Round your
answer to the nearest tenth of a foot if
necessary.

Answer:

132.3328 or 132.33 if you round do the nearest hundredth

Step-by-step explanation:

To find area, just multiply length by width. 14.26x9.28=132.3328

Hope this help!!!

Have a nice day!!!

The required domain would make the list of the ordered pairs are-4 and 5.

Given that,
Which domain would make the list of ordered pairs a function, {(-2, 5), (3, -1), (_, 4), (_, -9), (5, 6)} is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
The domain of the function follows the pattern of increasing the number by unit with the alternate sign change,
So the domain of function after 3 is given as -4 and 5.

Thus, the required domain would make the list of the ordered pairs are -4 and 5.

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Answer:

28.45

Step-by-step explanation:

33.04-1.75=31.29

31.29/1.10=28.45

Answer:

ST is 28

Step-by-step explanation:

Using the similarity formla

RL/LS  = LM/ST

3/12 = 7/x+2

3(x+2)=84

x +2= 84/3

x+2 =  28

x= 28-2

x = 26

ST = x+2

ST = 26+2

ST = 28

Hence the length of ST is 28

Answer: 525

Step-by-step explanation:

1000 dogs in 2013 and 4500 dogs in 2016

15 percent in animal shelters

(4500-1000)x0.15 = 525

Answer:

upper half y axis

Step-by-step explanation:

If x = 0 we are on the y axis.  If y >0 we are on the upper half of the y axis

9514 1404 393

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

Equating expressions for y, we have ...

  x^2 -9x +18 = x -7

  x^2 -10x +25 = 0 . . . . . add 7-x to both sides

  (x -5)^2 = 0 . . . . . . . . factor

The value of x that makes the factor(s) zero is x=5. The corresponding value of y is ...

  y = x -7 = 5 -7 = -2

The solution is (x, y) = (5, -2).

Answer:

En un comienzo habia dos bacteria.

Step-by-step explanation:

9514 1404 393

Answer:

  a.  x + 4y = 160

  b.  160

  c.  40

Step-by-step explanation:

a. We can define the variables as ...

  x = number of 1/2-liter bottles

  y = number of 2-liter bottles

For the total number of liters to be 80, we require

  1/2x + 2y = 80

We can multiply this by 2 to eliminate the fraction.

  x + 4y = 160

__

b. The x-intercept is 160. It is the number of 1/2-liter bottles required when no 2-liter bottles are used.

__

c. The y-intercept is 40. It is the number of 2-liter bottles required when no 1/2-liter bottles are used.

Answer:

The correct answer is - 26 sums for pulling few coins.

Step-by-step explanation:

Given:

coins in the wallet = 5 ($0.05, $0.10, $0.25, $1.00 and $2.00)

Different sums of money = ?

Formula: Different combination of items can be calculated with the help of a formula of combination that is -

nCr = n! / ((n – r)! r!)

where, n = total number of items

r = number of item in a set

solution:

In this question number of set is not given only few mention so the sets could be 2 coins, 3 coins, 4 coins and 5 coins.

a. for set of 2 coins

= 5! / ((5 – 2)! 2!)

= 20/2

= 10 combination of sums

b. for the set of 3 coins

= 5! / ((5 – 3)! 3!)

= 10

C. for 4

= 5! / ((5 – 4)! !)

= 5

d. for 5 coins

only 1 sum

thus, the total types of different sums = 10+10+5+1

= 26.

Answer:

-6

Step-by-step explanation:

y-intercept of 3x – 4y = 24

=> x=0

3(0) -4y=24

-4y=24

y = 24/(-4) = -6

the point is (0, -6)

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Circumference of the circle = 47 inch.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The diameter of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:diameter\:of\:the\:circle\:is\:15\:inch.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{Step-by-step\:explanation}}{\blue{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex]\longrightarrow{\blue{}}[/tex] 47 in = 2 π [tex]r[/tex]

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{47 \times 7}{2 \times 22}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = [tex]\frac{329}{44}[/tex] in

[tex]\longrightarrow{\blue{}}[/tex] [tex]r[/tex] = 7.477 in

Now,

[tex]\sf\pink{Diameter\: of \:the \:circle\: =\: 2 \:r }[/tex]

= 2 x 7.477 in

= 14.954 in

= 15 in ( round to nearest whole number )

Therefore, the diameter of the circle is 15 inch.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

The diameter of the circle is approximately 14.97 inches.

We have,

To find the diameter of a circle given its circumference, we can use the formula:

Circumference = π * Diameter

Given the circumference of the circle is 47 inches, we can rearrange the formula to solve for the diameter:

Diameter = Circumference / π

Substituting the given circumference into the formula:

Diameter = 47 / π

Calculating the value:

Diameter ≈ 14.97 inches

Therefore,

The diameter of the circle is approximately 14.97 inches.

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answer:

speed= 72 km - per • hour

Answer:

Speed of car = 72 km per hour

Answer:

I'm pretty sure they spent $22.50

Step-by-step explanation:

do (1÷6)×(90) then multiply 15 and 1.50

Answer:

b = 84 2/3.

Step-by-step explanation:

6 (b - 83) =10

6b - 6*83 = 10

6b - 498 = 10

6b = 508

b = 508/6

b = 84 2/3

[tex]\longrightarrow{\green{84.666}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]6 \: (b - 83) = 10 \\ ➡ \: 6 \: b - 498 = 10 \\ ➡ \: 6 \: b = 1 0 + 498 \\ ➡ \: 6 \: b = 508 \\ ➡ \: b = \frac{508}{6} \\ ➡ \: b = 84.666 [/tex]

[tex]\boxed{To\:verify:}[/tex]

[tex]6 \:( b -83) = 10 \\ ➝ \: 6 \: (84.666 - 83) = 1 \\ ➝ \: 6 \times 1.666 = 10 \\ ➝ \: 9.996 = 10 \\ ➝ \:10 \: (round ing \: \: to \: \: closest \: \: whole \: \: number) = 10 \\ ➝ \: L. H.S.=R. H. S[/tex]

Hence verified.

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

For a square or rectangular room you will need the length and width

Then you multiply I.e length x width gives Area

bye :-)

Answer:

y=0.5(x+6)(x+5)

Step-by-step explanation:

Since the parabola goes upwards as it expands from the vertex, the "a" value is definitely positive so the answer must be either the top-left or bottom-right. Next, use the roots to find the final answer. The roots are on the left side of the y-axis which indicates that they are negative. Now you know that the answer is the bottom-right answer because if both roots are negative, then the expressions must include addition to create 0 which is the y-value at the bases.

Answer:

13.34

Step-by-step explanation

Pythagorean Theorem: c= sqrt(a^2+b^2) or a^2=+b^2=sqrt(c)

3^2+13^2= sqrt(178) = 13.34166= 13.34

Answer:

Examining whole-body center of mass (COM) motion is one of method being used to quantify dynamic balance and energy during gait. One common method for estimating the COM position is to apply an anthropometric model to a marker set and calculate the weighted sum from known segmental COM positions. Several anthropometric models are available to perform such a calculation. However, to date there has been no study of how the anthropometric model affects whole-body COM calculations during gait. This information is pertinent to researchers because the choice of anthropometric model may influence gait research findings and currently the trend is to consistently use a single model. In this study we analyzed a single stride of gait data from 103 young adult participants. We compared the whole-body COM motion calculated from 4 different anthropometric models (Plagenhoef et al., 1983; Winter, 1990; de Leva, 1996; Pavol et al., 2002). We found that anterior-posterior motion calculations are relatively unaffected by the anthropometric model. However, medial-lateral and vertical motions are significantly affected by the use of different anthropometric models. Our findings suggest that the researcher carefully choose an anthropometric model to fit their study populations when interested in medial-lateral or vertical motions of the COM. Our data can provide researchers a priori information on the model determination depending on the particular variable and how conservative they may want to be with COM comparisons between groups. Copyright © 2017 Elsevier Ltd. All rights reserved.

Step-by-step explanation:

Answer:

16/3

Step-by-step explanation:

When multiplyin fractions by whole numbers, you can make the whole number a fraction by simply making the denominator 1, than you will multiply numerators by numerators and denominators by denominators, therefore

8 x 2 = 16

1 x 3 = 3

16/3

Answer:

See below

Step-by-step explanation:

In #4, the angles are vertical because the angles are congruent to each other. Therefore, you would set up the equation x+8=120 where x=112.

In #5, the angles are complementary because their sum is 90°. Therefore, you would set up the equation 43+x+3=90 where x=44.

In #6, the angles are supplementary because their sum is 180°. Therefore, you would set up the equation 76+2x+4=180 where x=50.

Step-by-step explanation:

answer is in photo above

Answer:

-2/5

Step-by-step explanation:

Answer:

a)

X      P[X]

0       5/14

1        15/28

2       3/28

b)

The expected value is 0.75

Step-by-step explanation:

Ok, we know that out of 8 cameras, 3 are defective.

So first let's find the probability for a camera randomly selected to be defective.

This is just the quotient between the number of defective cameras and the total number of cameras.

p = 3/8

then the probability that a camera is not defective is:

q = 5/8.

Ok, now we draw 2 cameras at random from the box.

We can define X as the number of defective cameras in these two drawn, we can have 3 possible values of X.

X = 0  (neither of the cameras is defective)

X = 1 (one of the cameras is defective)

X = 2 (both of the cameras is defective).

Let's find the probabilities for each case.

X = 0.

In this case, we first draw a non-defective camera, with a probability of:

P = 5/8.

The second camera drawn must be also non-defective, but now there are 4 non-defective cameras in the box and a total of 7 cameras (because one was already drawn).

Then the probability now is:

Q = 4/7

The joint probability is the product of the two individual probabilities:

P[0] = P*Q = (5/8)*(4/7) = (5/14)

X = 1

Here we have two cases:

the first is defective and the second is non-defective

the first is non-defective and the second is defective

So we just have a factor of 2, to consider both cases

Assuming the first case

Probability of drawing first a defective camera is equal to the quotient between the number of defective cameras  and the total number of cameras:

P = 3/8

For the second draw we want to get a non-defective camera, here the probability is equal to the number of non-defective cameras remaining (5) and the total number of cameras (7, because we drawn one)

Q = 5/7

The joint probability, taking in account the permutation, is

P[1] = 2*P*Q = 2*(3/8)*(5/7) = (15/28)

finally, for X = 2

This is the case where we draw two defective cameras, we can use a similar approach as the one used in the first case:

For the first camera:

P = 3/8

For the second camera:

Q = 2/7

Joint probability:

P[2] = (3/8)*(2/7) = 3/28

then we have the table:

X      P[X]

0       5/14

1        15/28

2       3/28

b)

The expected value for an event that has the outcomes:

{x₁, x₂, ..., xₙ}

Each one with the correspondent probability

{p₁, p₂, ..., pₙ}

is defined as:

EV = x₁*p₁ + x₂*p₂ + ... + xₙ*pₙ

Then in our case, the expected value is just:

EV = 0*P[0] + 1*P[1] + 2*P[2]

EV = 0  + 15/28  + 2*3/28

EV = (15 + 6)/28 = 21/28 = 0.75

Answer:

n = -2

Step-by-step explanation:

2n = 3n + 2

-n = 2

n = -2

Answer:

its 2/3 because if u divied the width u get that

Step-by-step explanation:

you welcome i tried

Answer:

1800

Step-by-step explanation:

First, you multiply 9 times 40 which is 360. So then since he worked for 5 more hours you multiply 360*5 which will give you 1800. :D

9514 1404 393

Answer:

  $62.74

Step-by-step explanation:

The annuity formula can be used to find the payment needed. Fill in the known values and solve for the unknown.

The future balance due to a series of payments is given by ...

  A = P(n/r)((1 +r/n)^(nt) -1)

where A is the account balance P is the payment made each period, n is the number of periods per year, r is the annual interest rate, and t is the number of years.

You have A = $20,000, r = 0.041, n = 12, t = 18 and you want to find P

  P = A(r/n)/((1 +r/n)^(nt) -1)

  P = $20,000(0.041/12)/((1 +0.041/12)^(12·18) -1) ≈ $62.74

A monthly payment of $62.74 is required.