A tree is casting a shadow that is 6.2 meters long. The distance from the end of the shadow to the top of the tree is 7.5 meters. How tall is the tree? Round to the nearest tenth if necessary.

[tex] \sf \looparrowright \: 8 \frac{1}{6} - 5 \frac{5}{6} [/tex]

Convert the mixed fractions to improper fractions

[tex] \underbrace {8\frac{1}{6} = \frac{6 \times 8 + 1}{6} = \frac{49}{6} }[/tex]

[tex] \underbrace {5\frac{5}{6} = \frac{6 \times 5 + 5}{6} = \frac{35}{6} }[/tex]

[tex] \sf \looparrowright \: \frac{49}{6} - \frac{35}{6} [/tex]

Write the numerators above the common Denominator 6

[tex] \sf \looparrowright \: \frac{49 - 35}{6} [/tex]

Calculate the difference

[tex] \sf \looparrowright \: \frac{14}{6} [/tex]

Reduce the fraction with 2

[tex] \sf \looparrowright \frac{7}{3} [/tex]

Answer:

14

Step-by-step explanation:

A sequence is given to us , which is ;

[tex]\longrightarrow 6,10,14,18,22 [/tex]

We need to find out the third term of the sequence . The third term is 14 which is itself given in the question . We can also find it as ,

The given sequence is in Arithmetic progression since a common number is added to get the next term of the sequence .

[tex]\longrightarrow d = 10 -6\\[/tex]

[tex]\longrightarrow d =4 [/tex]

Now we know that the general term of the sequence in an AP is given by ,

[tex]\longrightarrow T_n = a + (n-1)d [/tex]

The first term is 6 and common difference is 4 . On substituting the respective values ,

[tex]\longrightarrow T_3 = 6 + (3-1)4\\[/tex]

[tex]\longrightarrow T_3 = 6 + 2(4)\\[/tex]

[tex]\longrightarrow T_3 = 6 +8\\ [/tex]

[tex]\longrightarrow \underline{\underline{T_3=14}} [/tex]

This is the required answer!

Answer:

The time to hit the target is simply the period the arrow gets to the target from the arch.

The time to hit the target is 0.35 seconds

Answer:

80

Step-by-step explanation:

Because, when you subtract 180 to 100 and you get 80

Answer:

C) 136 yd²

Step-by-step explanation:

[tex]\textsf{\large Area of a triangle:}\ \dfrac{1}{2}\cdot b \cdot h[/tex]

Given:

Substitute the given values into the formula.

[tex]\begin{aligned}A\triangle&=\dfrac{1}{2}(16)(17)\\ &=8(17)\\&=\boxed{136}\end{aligned}[/tex]

The area of the triangle is 136 yd².

Answer:

15$ a day would be the estimate for 1 day

Step-by-step explanation:

Part a)

The diagonal line goes through (0,15) and (2,20)

Find the slope based on those points

[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (2,20)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{20 - 15}{2 - 0}\\\\m = \frac{5}{2}\\\\m = 2.5\\\\[/tex]

The y intercept is b = 15 because this is where the line crosses the y axis.

We go from y = mx+b to y = 2.5x+15.

Now plug in x = 1 to find the cost of renting for one day.

y = 2.5x+15

y = 2.5*1+15

y = 17.5

Another way to get the answer is to start at 1 on the x axis number line. Draw a vertical line upward until you reach the curve. From there, draw a horizontal line toward the y axis (refer to the diagram below). You should land somewhere between 15 and 20. The midpoint of which is 17.50

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

Part b)

We can do the reverse idea of the previous part.

Start at y = 25 on the y axis. Draw a horizontal line toward the curve. After reaching the curve, draw a vertical line down until you hit the x axis. You should arrive at x = 4.

Or you can use the algebraic approach since we know the cost equation

y = 2.5x+15

25 = 2.5x+15 ... plug in y = 25

25-15 = 2.5x

10 = 2.5x

2.5x = 10

x = 10/(2.5)

x = 4

Formula: Distance = rate * time

570 = (R+(R-18))*3

570 = (2R - 18)*3

190 = 2R-16

208 = 2R

R = 104

Eastbound Train: 86mph

Westbound Train: 104mph

Answer:

1 ofc

Step-by-step explanation:

Think of it:

1% is pretty much [tex]\frac{1}{100}[/tex]

so the equal to that is 1

I hope this answers your question :) If you want to mark me as brainliest (its ok if not :) im just trying to get enough to unlock messages

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

[tex] \\ \\ [/tex]

So as we know he already has $54

Equation formed to find value of x :-

[tex] \leadsto \sf9x = 171[/tex]

[tex] \\ [/tex]

[tex] \leadsto \sf x = \dfrac{171}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{3 \times 3 \times 19}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 3 \times 19}{ \cancel9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf x = \dfrac{ \cancel3 \times 19}{ \cancel3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \bf x = 19[/tex]

[tex] \\ \\ [/tex]

[tex]\therefore \underline {\textsf{\textbf{No. of hours required is equal to\red{ 19 hours}}}}[/tex]

Answer:

True

Step-by-step explanation:

To solve it you divide both sides by -2, which flips the inequality sign around.

Line given

Comapre to y=mx+b

Parallel lines have equal slope

Equation in point slope form

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

Answer:

G-10

Step-by-step explanation:

because i dont have time to expalin

Answer:

22 years

Step-by-step explanation:

the rate of the increase is $113.75 a year.

So it would take if rounded 22 years to reach the goal of $5000.

Answer: The correct answer is "15.2 years"

Step-by-step explanation:

I took the test

Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

Answer:

Height (h) = 1.6

Step-by-step explanation:

Area  of trapezoid = [(base1+base2)/2] * height

now we sub the values in the formula

7.36 = [(3.4+5.8)/2]* h

h= (7.36*2)/(3.4+5.8)

h = 1.6

Answer:

See below.

Step-by-step explanation:

x-2y=-4

 *-2  *-2

x+y=8

-x     -x

y=-x+8

-hope it helps

Answer:

y = 1/2x + 2⠀

Answer:

it is B

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

It's a linear equation but not a parallel line to any axis

The general form is

m is rate of change.

Hence y is directly proportional to x if m is kept constant

So option B is correct

[tex]691 \: 513 \: = > nearest \: to \: thousands \\ = > \: \: \: \: \: \: \: \: 692 \: 000[/tex]

Answer:

x = 8

Step-by-step explanation:

3 ln 4 = 2 ln x

By using property of logarithm:

ln = ln

Cancel ln on both sides

=

64 =

x =

x = 8

The solution to the equation 3ln4 = 2lnx is {-8, 8}

Given the expression

3 ln 4 = 2 ln x.

We are to find the solution for the variable "x"

Applying the rule of logarithm, the equation will become:

ln4^3 = lnx^2

4^3 = x^2

x^2 = 64

x = 8 and -8

Hence the solution to the equation is {-8, 8}

Learn more on logarithm here: https://brainly.com/question/25710806

The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.

Given information-

The card is selected random from the deck of cards.

Total number of trails is 40.

It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.

As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]

In the percentage from,

[tex]f_r={0.3}\times100\\f_r=30[/tex]

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

Learn more about the relative frequency here;

https://brainly.com/question/26177128

Answer:

20%

Step-by-step explanation: I took the test

Answer:

AC = 2.96

Step-by-step explanation:

Use the trigonometric ratio cosine:

cosine = adjacent ÷ hypotenuse

cos(65°) = AC ÷ 7

[tex]cos(65) = \frac{AC}{7}[/tex]

Multiply both sides by 7:

7(cos(65)) = AC

(Note: Set your calculator to degrees!)

And plug 7(cos(65)) into your calculator to get:

AC ≈ 2.96

Answer:

a. y = -x

b. Area = xy

c. x = -y

Step-by-step explanation:

a. The perimeter of the garden is the distance all the way around, in this would be x+y+x+y, or 2x + 2y. To solve for y, we’re trying to isolate it on one side. We need to subtract 2x to get 2y = -2x. Divide by 2 to get y = -x.

b. Area is length times width, so x • y, or xy.

c. To express in terms of x, we can take the equation y = -x and multiply it by -1 to get x = -y

Answer:

0.027

Step-by-step explanation:

0.474 - 0.447

= 0.027

Answer:

0.027 or 0.447 is greater than 0.474

Step-by-step explanation:

Answer:

33°

Step-by-step explanation:

9.17% = 9.17/100

[tex]\dfrac{9.17}{100}*360=0.917*36=33.012[/tex]

= 33°

Answer:

33

Step-by-step explanation:

0.917×36=33.012

Answer:

Hi ma bruddah

Step-by-step explanation:

Hi - ma - bru/dd/ah

Answer:

A.

Since it says no more than and d doesn't have that sign so yes hope this helps :D