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klio [65]
1 year ago
15

From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find

the distance that the tree is from point B. (Round to the nearest whole foot.)
Mathematics
1 answer:
lana66690 [7]1 year ago
3 0

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

  • Height of tree opposite angle of elevation = 34ft
  • Angle of elevation θ = 26°
  • Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

#SPJ1

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Kaylee invested $910 in an account paying an interest rate of 2.6% compounded
Nikitich [7]

Answer:

$1,179

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

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

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, lets change 2.6% into a decimal:

2.6% -> \frac{2.6}{100} -> 0.026

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=910(1+\frac{0.026}{4})^{4(10)}

A=1,179.21

The account balance after 10 years will be $1,179

8 0
3 years ago
There are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random
Alenkasestr [34]

Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

9 total number of pens that are NOT green

9 total number of pens that are NOT green out of a total of 14 pens = 9/14

gathmath.com

6 0
1 year ago
Read 2 more answers
One canned juice drink is 20% orange juice; another is 10% orange juice l. How many liters of each should be mixed together in o
Anni [7]

Answer:

There is not enough information to answer, you did not say measurements of both drinks.

Step-by-step explanation:

8 0
2 years ago
Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​
const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   (2,-5) and (8, 13)

The Slope of the line

            m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3

Equation of the line having slope 'm' and given point

        y - y_{1} = m (x - x_{1} )

(x₁ , y₁)   =    ( 2, -5 )  

        y - (-5) = 3 (x - 2 )

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

<u><em>Final answer:</em></u>-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

     

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3 years ago
I don’t know if I should put the parentheses around the number 4 or not
tresset_1 [31]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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