From a boat on the lake, the angle of elevation to the top of a cliff is 27°57'. If the base of the cliff is 128 feet from the boat, how high is the cliff (to the nearest foot)?

Answer:

(a) 0.5184

(b) 0.0784

(c) 0.4816

Step-by-step explanation:

According to the given estimation over a 1-year period, 18​% of cars will need to be repaired​ once, ​7% will need repairs​ twice, and ​3% will require three or more repairs.

So, the probability that a car need repair once = 18/100=0.18 ...(i)

The probability that a car needs repair twice = 7/100=0.07 ...(ii)

The probability that a car needs repair thrice or more = 3/100=0.03 ...(iii)

From equations (i), (ii), and (iii), the probability that a car needs repair = (0.18+0.07+0.03) = 0.28 ...(iv)

The probability that a car doesn't needs repair = 1-(0.18+0.07+0.03)= 1-0.28=0.72 ....(v)

Given that I own two cars, denoting the cars by A and B.

(a) The probability that neither will need​ repair=(Probability that car A doesn't need repair) and (Probability that car B doesn't need repair)

=0.72 x 0.72 [ from equation (v)]

=0.5184

(b) The probability that both will need​ repair = (Probability that car A needs repair) and (Probability that car B needs repair)

=0.28 x 0.28 [ from equation (iv)]

=0.0784

(c) The probability that at least one car will need​ repair= 1 - (The probability that neither will need​ repair)

=1-0.5184 [ by using part (a)]

=0.4816

Answer:

The units of the displacement are (3, 5) → T (x + 3, y + 5)

Step-by-step explanation:

The rules of translation of a point

∵ Point (4, 2) is translated by (h, k)

∵ Its image is (7, 7)

∴ The x-coordinate of the point is increased from 4 to 7

∴ The point is translated to the right by h units

∵ 4 + h = 7

∴ h = 7 - 4 = 3

∴ The point is translated to the right 3 units

∵ The y-coordinate of the point is increased from 2 to 7

∴ The point is translated up by k units

∵ 2 + k = 7

∴ k = 7 - 2 = 5

∴ The point is translated up 5 units

∴ The point is translated 3 units right and 5 units up

∴ The units of the displacement are (3, 5) → T (x + 3, y + 5)

Answer:

i dont like gabe, hes mean to me >:(

Step-by-step explanation:

so no, i wont go to his party :))

Answer:

7

Step-by-step explanation:

Answer:

its 13

Step-by-step explanation:

are u try to find out what x and y equal

Answer:

Are you sure this two are the only choice.

Step-by-step explanation:

And I think it the first one.

Answer:

can you rewrite your answer bc it makes not sense and there's only two answer choices so can you take a ss of your actual problem please and i'll do my best to answer it :)

Answer:

-1.4

Step-by-step explanation:

Answer:

i think it's 1

Answer:

[tex]P=\frac{C}{4} -5[/tex]

Step-by-step explanation:

Step one:

given

cost  per drive= $20

additional fee per person= $4

let the number of persons be p

and the total cost be C

The total cost function is expressed as

[tex]C=20+4p[/tex]

Step two:

Required:

We want to make P subject of the cost function

Take 20 to the other side we have

C-20=4p

divide through by 4

P=C-20/4

simplify

P=C/4-5

[tex]P=\frac{C}{4} -5[/tex]

Answer:

x= 45

Step-by-step explanation:

the total amount of degrees in a triangle is 180 degrees, so by subtracting 75 and 60 from 180, you'll get 45. :)

Answer:

x=45

cvghjklkjhgfdsdfghjkijuhgtfdfghjki

Answer: A y-coordinate is the second element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the y-coordinate represents the directed distance of the point from the x-axis. (-1,-4).

Step-by-step explanation:

Answer:

The x-coordinate is –4 . The y-coordinate is  –1 . The point is in quadrant  III .

Step-by-step explanation:

Answer: 9 gallons

Step-by-step explanation:

Given: Ratio of colors in painting:

4 parts blue, 3 parts red, and 3 parts green.

Total parts = 4+3+3 =10

Fraction of blue = [tex]\dfrac{\text{Number of parts of blue}}{\text{total parts}}=\dfrac{4}{10}[/tex]

Since, Quantity of blue color used = 12 gallons

Let total quantity of color be x,

[tex]\dfrac{4}{10}x=12\\\\\Rightarrow\ x=\dfrac{120}{4}=30\text{ gallons}[/tex]

Total color used = 30 gallons

Color used for green part only = [tex]\dfrac{3}{10}\times30 = \text{9 gallons}[/tex]

Hence, 9 gallons of paint were needed for the green part of the painting.

Answer: The answer is x=0

Step-by-step explanation:

Rewrite the equation as a trinomial.

x 2 + 12 x + 0

Move 0 to the right-hand side.

x 2 + 12 x = 0

Divide the coefficient of the  x

-term by 2, then square the result. Add the result to both sides.

12 /2 = 6 ;6^2   = 36

x 2 + 12 x + 36 = 36

Factor the perfect square trinomial  

x 2 + 12 x + 36

on the left-hand side.

( x + 6 ) 2 = 36

Take the square root of both sides and solve for  x .

√ ( x + 6 )^ 2 = ± √ 36 =

x+ 6 =  ± 6

x =  − 6 + 6 = 0

x =  − 6  − 6 = − 12

Check

If  x = 0 :

( 0 ) ^2 + 12 ( 0 ) = 0

0 = 0

If  x = − 12 :

( − 12 ) ^2 + 12 ( − 12 ) = 0

144 − 144 = 0

0 = 0

Answer:

g=4

Step-by-step explanation:

Divide both sides

4g÷4 = 16÷4

Divide

G=4

Answer:

$11.50

Step-by-step explanation:

I did give an explanation here but some one deleted it. :( I will attach the graph below though.

Answer:

I'm reallly sorry if this is wrong, but I believe it is neither

Step-by-step explanation:

Odd and even functions need to exhibit some sort of reflection symmetry across the x axis (i think--we are learning this rn) and the graph does not seem to show this so i believe it is neither... i could be wrong thooughh

Answer:

A. 3:30.

Step-by-step explanation:

180 is 90+90 so that would put it in 3:30.

Answer:

her distance would be 0 after 8 hours since 8*3 = 24 and just add a zeor behind the 24 from the 30

Step-by-step explanation:

Answer:

CD = 18 units

Step-by-step explanation:

Given a rectangle with length x and width y, the perimeter is:

P = 2x + 2y

Here, we note that x = AB = CD, y = AD = BC, and P = 64 units. So:

2AB + 2BC = 64

We know that AB = 3z and BC = 2z + 2; plug these in:

2 * (3z) + 2 * (2z + 2) = 64

6z + 4z + 4 = 64

10z = 60

z = 6

Now that we've solved for z, we can find AB and, hence, CD because AB = CD.

AB = 3z = 3 * 6 = 18 units

Thus, CD = 18 units, as well.

Answer:

x = 6

Step-by-step explanation:

3x + 5 = 23

you wanna subtract 5 from both sides

3x = 18

now you wanna divide 3 from both sides to get x by itself

x = 6

and thats your answer hope that helped :)

Answer:

1 5/44, 22/45, 5 5/8

Step-by-step explanation:

Pls give brainliest

Answer:

4 1/2 minutes

Step-by-step explanation:

Answer:

The smaller integer is -3 and the greater integer is -2

Step-by-step explanation:

Equations

Let's call

x = the smaller integer

x + 1 = greater consecutive integer

The relationship between them is that twice the smaller is four less than the greater:

2x = x + 1 - 4

Subtracting x:

x = 1 - 4

Operating:

x = -3

x + 1 = -2

The smaller integer is -3 and the greater integer is -2

Answer:19.4

Step-by-step explanation:

A=P(1+\frac{r}{n})^{nt}

A=P(1+  

n

r

​  

)  

nt

A=6500 \hspace{15px} P=3000 \hspace{15px} r=0.04 \hspace{15px} t=?

A=6500P=3000r=0.04t=?

n=4\text{ (quarterly)}

n=4 (quarterly)

6500=3000(1+\frac{0.04}{4})^{4t}

6500=3000(1+  

4

0.04

​  

)  

4t

6500=3000(1.01)^{4t}

6500=3000(1.01)  

4t

\frac{6500}{3000}=\frac{3000(1.01)^{4t}}{3000}

3000

6500

​  

=  

3000

3000(1.01)  

4t

​  

2.1666667=(1.01)^{4t}

2.1666667=(1.01)  

4t

\log(2.1666667)=\log((1.01)^{4t})

log(2.1666667)=log((1.01)  

4t

)

\log(2.1666667)=4t\log(1.01)

log(2.1666667)=4tlog(1.01)

Power Rule.

\frac{\log(2.1666667)}{4\log(1.01)}=\frac{4t\log(1.01)}{4\log(1.01)}

4log(1.01)

log(2.1666667)

​  

=  

4log(1.01)

4tlog(1.01)

​  

t=\frac{0.3357921}{0.0172855}

t=  

0.0172855

0.3357921

​  

t=19.42624\approx 19.4 \text{ years}

t=19.42624≈19.4 years

Answer:

3rd one

Step-by-step explanation:

Answer:

I'm back bud

Step-by-step explanation:

Angle 1: 138

Angle 2: 84

Angle 3: 42

Angle 4: 42

Angle 5: 96

Angle 6: 42

Answer:

Parallel

Step-by-step explanation:

Answer:

Step-by-step explanation:

Parallel lines have same slope, perpendicular lines have negative reciprocal slopes

Given slopes of -4 and 14 are neither same not negative reciprocal, therefore the answer is neither

Answer:

−35.948187

Step-by-step explanation:

Answer:

[tex]d = 15\sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra II

Step-by-step explanation:

Step 1: Define

Point (7, 0)

Point (-8, 45)

Step 2: Find distance d

Answer:

4 - 7x = 15

Step-by-step explanation:

6 - 3x -10 + 8 - 4x = 15

4 - 7x = 15

[tex]( { \frac{4 {x}^{3} }{ {y}^{4} }) }^{ - 2} = \frac{16x {}^{6} }{ {y}^{8} } [/tex]

[tex] \frac{(4 {x}^{3})^{ - 2} }{ { {(y}^{4} )}^{ - 2} } = \frac{16 {x}^{6} }{ {y}^{8} } [/tex]

[tex] \frac{ {16x}^{ - 6} }{ {y }^{ - 8} } = \frac{ {16x}^{6} }{ {y}^{8} } [/tex]

The power of -2 was mistook as 2.