kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 65º. Find the length of the string. Round your answer to
the nearest tenth.

Distance will be the hypotenuse of a right triangle.

Distance^2 = 3^2 + 4^2 = 9 + 16 = 25

Distance = 5 km

Answer:

y = (2/3)x - 1

Step-by-step explanation:

By refering the graph, we can see that y-intercept(b) = (a point of the y-axis) which is -1.

the coordiates i have taken:

(-3 , -3) ------ (-3 =x1, -3 =y1)

and

( 3, 1 ) --------( 3 = x2, 1 = y2)

To find slope,

slope(m) = rise/run = ( y2 - y1 ) / ( x1 - x2 )

=> ( 1 - (-3) ) / ( 3 - (-3) ) -----( negative × negative = positive. Hence the signs are positive. )

=> ( 1 + 3 ) / ( 3 + 3 )

=> 4 / 6

=> 2 / 3 ------(simplied after numerator and denominator got divided by 2)

now,

b = -1

m = 2/3

x = x ----(x remains same)

Therefore,

y=> mx + b

by substituting the values, we get,

y=> (2/3)x - 1

Answer:

-7x-3

Step-by-step explanation:

Step-by-step explanation:

x−5(x+1)−3x+2

Distribute:

=x+(−5)(x)+(−5)(1)+−3x+2

=x+−5x+−5+−3x+2

Combine Like Terms:

=x+−5x+−5+−3x+2

=(x+−5x+−3x)+(−5+2)

=−7x+−3

Answer:

=−7x−3

Answer:

k = 28/7 which equals 4

Step-by-step explanation:

1/2k + 6 = 4k - 8

1/2k - 4k = -8 - 6

1/2k - 8/2k = -14

-7/2k = -14

k = -14 * - 2/7

k = 28/7 which equals 4

Answer:

k=-7/4 or -1.75

Step-by-step explanation:

There is no graph or further explanation for a question to answer

Answer:

4th one please give me brainliest

Step-by-step explanation:

Answer:

v, z, w, x

let the letter become the angle opposite of them.

Answer:

80-50x

Step-by-step explanation:

Answer:

30

.... just use a calculator

Ah yes. The pictures are below. Let me know in comments if you can see the pics.

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

Answer: 2x - 4y = -1

Step 1: Move the variable.

2x - 4y = 4y - 1 - 4y

Step 2: Remove the opposites.

2x - 4y = -1

Answer = 2x - 4y = -1

Hope this helps!

Answer:

2x - 4y = -1

Step-by-step explanation:

Ax + By + C

A = 2

B = -4

C = -1

Answer: 2/8

Step-by-step explanation:

Answer: The answer has to be

d. t and u

Step-by-step explanation:

Answer:

Step-by-step explanation:

.77

Answer:

0.77

Step-by-step explanation:

It goes on and on most people but just say 0.77

Answer:

i think its the first one

Step-by-step explanation:

Answer: 34.78 gallon

Step-by-step explanation:

Exponential equation for decay:

[tex]A=P(1-r)^t[/tex] , where p = initial amount, r= rate of decay , t= taime

As per given,

r= 8% = 0.08

For days 1 , i.e. at t= 0 , P= 32 gallons

[tex]1=32(1-0.08)^t\\\\\Rightarrow\ \dfrac{1}{32}=(1-0.08)^t \\\\\Rightarrow\ \ln \left(\frac{1}{32}\right)=t\log (0.92)\\\\\Rightarrow\ t=-\frac{5\ln \left(2\right)}{\ln \left(0.92\right)}=41.5\approx42[/tex]

Total water = [tex]\dfrac{a(1-r^n)}{1-r}=\dfrac{32(1-0.08^{42})}{1-0.08}=34.782[/tex]

hence, the the total number of gallons of water that leaked from the tank = 34.78 gallon approx.

Answer:

Step-by-step explanation:

1. -10+18+6=8+6=14

2. -1+84=83

3. -2×(−6)2 +7=12×2+7=24+7=31

4. 50-(−6)2 +(−8)=50+12-8=62-8=54

5. (-2+2)× (−3)3=0× (−3)3=0

6. 30+8-42=38-42=-4

7. -9-2-1=-12

8. -32+6+6=-20

9. -10×3÷5+9=-30÷5+9=-6+9=3

10. -24÷ 8 + 33=-3+33=30

Given :

The equation below can be used to determine I (simple interest) on a loan as follows :

[tex]I=Prt[/tex] ...(1)

P is principal, r the rate of the loan,  t is the length of the loan in years.

We need to find the equation to solve in terms of r. We can find the value of P.

Dividing both sides of equation (1) by rt. So,

[tex]\dfrac{I}{rt}=\dfrac{Prt}{rt}\\\\P=\dfrac{I}{rt}[/tex]

So, P can be solved as : [tex]P=\dfrac{I}{rt}[/tex].

Answer:

162 is greater than 130.. if that's what your are talking about..

Answer:

4.5 in. is equivalent to 337.5 ft.

Step-by-step explanation:

The given parameters are;

The scale of the scale map is 2 in. to 150 ft.

The measured length on the scale map = 4.5 inches

The actual distance of the location is given as follows;

2 in. is equivalent to 150 ft.

Therefore;

1 in. is equivalent to 150 ft./2 = 75 ft.

4.5 in. will be equivalent to 4.5 × 75 ft. = 337.5 ft.

4.5 in. will be equivalent to 337.5 ft.

Answer:

Zelie should have divided both numbers by 14

Step-by-step explanation:

Given

[tex]Actual = 28[/tex]

[tex]Measured = 14[/tex]

Required

Spot and correct Zelie's mistake

[tex]Zelie = \frac{28 - 7}{14 - 7} = \frac{21}{7}[/tex]

Scale is calculated as:

[tex]Actual = Measured * Scale[/tex]

[tex]28 = 14 * Scale[/tex]

Divide 28 and 14 by 14

[tex]28/14 = 14/14 * Scale[/tex]

[tex]2 = 1 * Scale[/tex]

[tex]2 =Scale[/tex]

[tex]Scale = 2[/tex]

Notice at this point:

[tex]28/14 = 14/14 * Scale[/tex]

Both sides were divided by 14.

Hence, option A answers the question.

Answer:

A. Zelie should have divided both numbers by 14.

Explanation:

I took the quiz and got it right.

Hope this Helps!

Answer:

467 000 000

Step-by-step explanation:

4.67e-8 is rewritten as 4.67 x 10^-8.

Negative -> decimal with lots of places, Positive -> big, big number

Move the decimal place right 8 times so you end up with a small decimal.

4.67 -> 467000000

Answer:

Transversal line

Step-by-step explanation:

That is a picture of a Transversal line, a Transversal line intersects 2 or more parallel lines.

Answer:

one group has 12. one has 16. 12 + 16 = 28. 16 is 4 more than 12

Answer:

[tex]2^{14}[/tex] is the answer. Hope this helped!!

Step-by-step explanation:

========================================================

Explanation:

Consider a triangle with side lengths a,b,c such that a < b < c

a = 3 and b = 19 are the two known sides

Let c be the missing side length

The missing side has the property that...

b-a < c < b+a

19-3 < c < 19+3

16 < c < 22

Meaning that if c is a whole number then it can take on any of these values {17, 18, 19, 20, 21}

So c = 21 is the largest possible third side, where only whole number sides are considered.

We can't have a third side of 22 because the two other sides add to a+b = 3+19 = 22 and a triangle wouldn't form (instead only a straight line would). I recommend cutting out strings of paper trying this out yourself.

---------------

Side note: The inequality b-a < c < b+a is a variation of the triangle inequality theorem.