What do you need to know?

Answer:

The height of the tree is approximately 71.5 feet

Step-by-step explanation:

The given parameters are;

The angle of elevation to see the top pf the tree = 50°

The distance Peggy is laying from the base of the tree = 50 ft.

In order to answer the question using trigonometric ratio, we assume that the angle the tree makes with the ground is 90° that is the tree is perpendicular to the ground

Therefore, the line of sight to the top of the tree,  the height of the tree, and the distance from the base of the tree where Peggy is laying, forms a right triangle

Let, 's', represent the line of sight to the top of the tree, let 'h', represent the height of the tree, and let, 'd', represent the distance from the base of the tree where Peggy is laying

The third angle, θ, of the right triangle opposite 'd' is given by angle sum theorem of a triangle as follows;

θ = 180° - 90° - 50° = 40°

θ = 40°

By sine rule we have;

h/sin(50°) = d/(sin θ)

∴ h/sin(50°) = 60 ft./(sin 40°)

h = sin(50°) × 60 ft./(sin 40°) = 71.5052156 ft.

∴ The height of the tree, h ≈ 71.5 ft. by rounding to the nearest tenth

Answer:

C

Step-by-step explanation:

just fill in the x

ex. y=0.5x+14

     y=0.5(5)+14

     y=2.5+14

     y=16.5

Answer:

Step-by-step explanation:

Less than 0.84

Step-by-step explanation:

   Convert all numbers to decimals

   85% --> 0.85

   0.88 --> 0.88

   21/25 --> 0.84

Since these are the top three, the rest of the competitors are less than 0.84.

Answer:

y = 18/5(11)

Step-by-step explanation:

If y varies directly as x, this is expressed as;

y∝x

y = kx

k is the constant of proportional constant

if y = 18 and x = 5

18 = 5k

k = 18/5

to get the expression that can be used to find the value of y when x is 11

y = kx

y = 18/5(11)

This gives the required expression

Answer:

Step-by-step explanation:

The jar contains 2 types of coins dimes and quarters

the total amount is equal to 36.25 dollars

the total number of coins is 250

let  number of dimes be x and quarters be y

let us put the equation

0.10x + 0.25y = 36.25

for our convinience convert all money to cents i.e. = 3625 cents

now the equations are

10x + 25y = 3625

x     +    y   = 250

we need to solve for y i.e. number of quaters

y = 250 - x

rewrite the equation substituting y in x place

10(250 - y) +25 y = 3625

2500 - 10y +25y = 3625

15y = 1125

y = 75

so the number of quarters = 75

cross checking :

number of dimes = 250 - 75 = 175

total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25

Answer:

16, 10, 0

You plug in the x into the function

Answer:

2000

Step-by-step explanation:

S.I=P×rate / 100×time

30000×8 / 100×5/6

=2000

Answer:

[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]

Step-by-step explanation:

[tex] step - 1 : define[/tex]

A-5B=2x+3-5(x²-5x+1)

[tex]step - 2 : solve[/tex]

and

we are done

Answer:

Step-by-step explanation:

Middle School:

Find the median by arranging the data points from smallest to largest.

1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)

7/2 = 3.5

High School:

1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)

4/2 = 2

Most of the points in the middle school plot are four or less.

A (High school students had more variation.)

Answer: what the question

Step-by-step explanation:

Answer:

(4,10)

Step-by-step explanation:

Well, you just count each unit coming from the x-axis up and then do the same for the y axis going to the right. You can also see that the graph is counting by 2 if you look at the "O" coordinate

Answer:

315m ^3

Step-by-step explanation:

make sure you put the exponent !!

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

In totality, 12 tech employees are on leave

Thus,

[tex]\frac{20}{100} * X = 12[/tex]

On solving the above mathematical equation, we get -

[tex]X = \frac{12*100}{20} \\X = 60[/tex]

Hence, there are 60 tech workers altogether

Answer:

a) c

b) 62

Step-by-step explanation:

He is correct because the Median weight is 56 grams.

Option C is the correct answer.

The range of weights of Felipe's tomatoes is 62.

The interquartile range of weights of Felipe's tomatoes is 44 grams.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = 56 grams

Now,

The statement that Felipe describe is correct because the median weight of 56 grams.

The range of the weights of the tomatoes.

= Highest value - Lowest value

= 78 - 16

= 62

The interquartile range of weights of Felipe's tomatoes.

= Upper quartile - Lower quartile

= 72 - 28

= 44 grams

Thus,

Median weight = 56 grams.

Range = 62

Interquartile range = 44 grams.

Learn more about median here:

https://brainly.com/question/28060453

#SPJ2

Answer:

yes

Step-by-step explanation:

Answer:

a: 24 cm

b: 101 m

c: 1.46 mm

Step-by-step explanation:

Formula: d=2r

a: 12*2=24 cm

b: 50.5*2=101 m

c: 0.73*2=1.46 mm

Answer:

Step-by-step explanation:

G

Answer:

All of the positive integers that can divide evenly into 35 (they are the factors) are:

 1, 5, 7, 35

All others, like 2, 3, 13, ... create a remainder that is not 0.

Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1).  They are:

    5, 7

Step-by-step explanation:

Answer:

The original price of the books were $9.

Step-by-step explanation:

%100 - %30 = %70

%70 = 0.7

$6.30 ÷ 0.7 = $9

Answer:

I think it's 2-3, but I'm not sure.

Step-by-step explanation:

Sorry if I get it wrong

Answer:

you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)

Step-by-step explanation:

like this

Answer:

2

Step-by-step explanation:

the radius is half the diameter from the middle!

Answer:

a) 1/10

b) 110

Step-by-step explanation:

A) we start by getting the total number of rolls

That would be;

11 + 22 + 7 + 8 + 13 + 19 = 80

The frequency of getting a 4 is 8

The probability that the next roll will be a 4 is;

8/80 = 1/10

b) Firstly, we get the probability of getting a 2

We have this as:

22/80

So for 400 rolls, the number of 2’s will be;

22/80 * 400

= 22 * 5 = 110

Answer:

7q-35

Step-by-step explanation:

Answer:

the answer is 2/6 im not sure but i hope its help

Answer:

49 stones

Step-by-step explanation:

Write the following proportion based on the given ratio of marbles (m) to stones (s), and naming the unknown number of stones to find, with the letter "X":

6 m / 7 s = 42 m / X s

cross multiply to get the unknown in the numerator:

6 * X = 42 * 7

divide both sides by 6 to isolate X entirely on the left of the equal sign

X = ( 42 * 7 ) / 6

X = 49

Therefore, there are 49 stones