Answer: The height of the telephone pole = $15.046
Step-by-step explanation:
Given: Angle of elevation= 62 degrees.
Distance of Ben from the base of the pole = 8 feet
According to trigonometry, we have
[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]
i.e.
[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]
Hence, The height of the telephone pole = $15.046
solve the following system of equations using the substitution method
x=2y
2x+5y=9
Answer:
y=1
x=2
(2,1)
Step-by-step explanation:
x=2y
2x+5y=9
2(2y)+5y=9
4y+5y=9
9y=9
y=1
x=2(1)
x=2
(2,1)
3/4 + 3/5 how do you solve it
Answer:
3/4 + 3/5 = 1 7/20
Step-by-step explanation:
5 x 4 = 20
3/4 = 15/20
3/5 = 12/20
15/20 + 12/20 = 27/20 = 1 7/20
Answer: 1 7/20 (one and seven-twentieths)
Step-by-step explanation:
1) 3/4 = 15/20 and 3/5 = 12/20
2) 15/20 + 12/20 = 27/20
3) 27/20 = 1 7/20
Good Luck!
The graph of function gis the graph of function f (x) = 2x2 + 5 after a
vertical stretch by a factor of 3. What is the function rule for function g?
Answer: g(x) = 6*x^2 + 15
Step-by-step explanation:
Suppose that we have a function y = f(x)
A vertical stretch by a factor of K is written as:
g(x) = K*f(x).
In this case, we have f(x) = 2*x^2 + 5.
And we know that g(x) is a f(x) after a stretch by a factor of 3.
Then we get:
g(x) = 3*f(x) = 3*(2*x^2 + 5) = 3*2*x^2 + 3*5 = 6*x^2 + 15
g(x) = 6*x^2 + 15
Simplify.
(5v2-3v – 4)+(7v?-v+6)
Answer:
35 v 3 ? − 21 v 2 ? − 5 v 3 − 28 v ? + 13 v 2 − 2 v − 8
PLEASE I ONLY AHEB 5 minutes left
Jean deposits $730 in an account that pays 2.8% simple interest. He neither adds
more money nor withdraws any money from his account. What amount will be in
Jean's account after 5 years? Show your work.
Answer:
hyujd6dssgshfjf kryaydfhfvjmbnno vfifufiigbff
John bought a video game that was 20% off. THe game was originally $50. How much money DID HE SAVE by getting it on sale?
What is the sum of
1
2
+
1
4
? Use the fraction strip to help.
One whole fraction strip is equal in length to one one-half fraction strip combined with two one-fourth fraction strips. One-whole fraction strip is also equal to eight one-eighth fraction strips.
Answer:
Step-by-step explanation:
3/4
Answer:
3/8
Step-by-step explanation:
first find a good denominators then multiply the numerators by how many times it took you to get the denominator then add 1/8+ 2/8 which equals 3/8
I need help fasttttt! Helpppppp
Answer:
r>12 or r<−4
Step-by-step explanation:
A glass contains 0.75 liters of solution. John uses 0.9 of the solution for his experiment
Plz answer i will gibe brainiest
If I understand this right:
3/4=24
24/3=8
8*4=32
You divide the number by the numerator, and then multiply that number by the denominator.
If you mean you want 3/4 of 24 then you divide 24 by 4, which equals 6. And then multiply 6 and 3, which equals 18
I NEED HELP ON THIS ASAP!! GIVING 75 POINTS TO WHOEVER CAN HELP ME WITH THIS!!!
Answer:
288pi
904.3
1648.5
33493.3
Step-by-step explanation:
1.
volume = 6^2 * 8 * pi = 288pi
= 904.32
2.
5^2*21*3.14 = 1648.5
3.
4/3 * 20^3 * 3.14 = 33493.3
2 and 3? I need help please
Answer:
2: 7:10 3: 6:14
Step-by-step explanation:
There are 7 blue marbles and 10 are green
There are 6 circles and 14 hearts
Help me with my math
Answer:
The first one is correct
Step-by-step explanation:
-3<1-1 - 3<0 correct
-3>1 it is not correct
The school spent $504 on calculators. How
many did the school buy?
Answer:
where is the rest of the question, how much was each calculator?
1. You want to put new carpet in your bedroom and the dimensions of your room
are 8.74 ft and 10.3 ft. If you want to find the area of your room to put new carpet
in, which of these problems would help you estimate how much carpet will you
need to buy?
Answer: See explanation
Step-by-step explanation:
From the question, we are informed that a new carpet is to be put in the bedroom and that the dimensions of the room are 8.74 ft and 10.3 ft.
The area of the room will be the multiplication of the dimensions given. This will be:
= 8.74 × 10.3
= 90.022
= 90ft²
sb pls answer this lollllllll!?
Answer:
y = 1.5x
Step-by-step explanation:
We are to find the equation of the line
The equation is expressed as y = MX+c
m is the slope
c is the intercept
Get the slope
Using the coordnate (10, 15) and (20, 30)
m = 30-15/20-10
m = 15/10
m = 1.5
Get the intercept
Substitute m = 1.5 and (10, 15) into y = mx+c
15 = 1.5(10) + c
15 = 15+c
c = 0
Get the equation
y = mx+c
y = 1.5x+0
y = 1.5x
Hence the required equation is y = 1.5x
Answer:
y=1.5x
Step-by-step explanation:
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST (make sure to use yd² and yd³)
Answer:
Perimeter: 210[tex]yd[/tex]
Area: 2106[tex]yd^{2}[/tex]
good luck, hope this helped :)
I need help with this whoever can get it right I will mark you brainlest
Write the exponent for 4^? = 64 What number is the question mark? *
Can someone please help me and explain I’ll mark brainliest
Part (a)
Answer: x = -8------------------
Work Shown:
2(x-1) = 3(x+2)
2x-2 = 3x+6 .... distribute
2x = 3x+6+2 .... adding 2 to both sides
2x = 3x+8
2x-3x = 8 .... subtracting 3x from both sides
-x = 8
x = -8 ..... multiply both sides by -1
===========================================================
Part (b)
Answer: x = 5/11------------------
Work Shown:
-4(2x-2) = 3(x+1)
-8x+8 = 3x+3 ..... distribute
-8x = 3x+3-8 .... subtract 8 from both sides
-8x = 3x-5
-8x-3x = -5 ... subtract 3x from both sides
-11x = -5
x = -5/(-11) .... divide both sides by -11
x = 5/11
In decimal form, this is approximately equal to 5/11 = 0.4545
e Michael is working on the roof of his house. Michael is on the ground, standing 5 feet away from the house. A ladder touches the house at a point 20 feet above the ground, and the ground at Michael's feet. What is the approximate distance between Michael and the point where the ladder touches the house?
Answer:
Step-by-step explanation:
25
What is the area of the parallelogram?
Step-by-step explanation:
to find the area of a parallelogram multiply the base by the height. multiply so 8x4= 32. but thats not it, ill come back when i get it or ask a tutor
Answer:
A=bh
Step-by-step explanation:
The product of -13 and K
Answer:
- 13 × k = -13k
good luck, hope this helps :)
Find the value of x that makes triangle CDE ~triangle FGH
Answer: 5
Step-by-step explanation:
4x + 10- 25
The median number of part-time employees at fast-food restaurants in a particular city was known to be 18 last year. City officials think the use of part-time employees may be increasing. A sample of nine fast-food restaurants showed that seven restaurants were employing more than 18 part-time employees, one restaurant was employing exactly 18 part-time employees, and one restaurant was employing fewer than 18 part-time employees. Can it be concluded that the median number of part-time employees has increased
Answer:
It can be concluded that the median number of part-time employees has increased hence we will reject the null hypothesis ( H0 : p = 0.5 )
Step-by-step explanation:
Test using α = 0.5 to determine whether the median number of part-time employees has increased
number of restaurants with more than 18 part-time employees = 7 ( + sign )
number of restaurants with less than 18 part-time employees = 1 ( - sign )
number of restaurants with exactly 18 part-time employees = 1
first step : ( state the null and alternate hypothesis )
Null hypothesis : ( H0) : median ≤ 18
Alternate hypothesis : ( Ha ) : median ≥ 18
The size of the sample ( n ) can be considered to be 8 because
number of restaurants with more than 18 part-time employees = 7 ( + sign )
number of restaurants with less than 18 part-time employees = 1 ( - sign )
Hence the actual hypothesis that should be tested will be :
H0 : p = 0.5
Ha : p ≠ 0.5
Next apply the binomial distribution to determine the number of + signs
= nP = 8 ( 0.5 ) = 4 + signs ( right tailed test i.e. upper tail of the binomial distribution )
determine the P ( ≥ 7 ) + signs in order to obtain the p-value of this right tailed test ( using the binomial probability table )
P ( ≥ 7 )+ signs = p(7) +signs + p(8)+signs
= 0.0313 + 0.0039 = 0.0352
Hence the P-value = 0.0352 is < 0.05 hence we will reject the Null hypothesis ( H0 : p = 0.5 )
hence It can be concluded that the median number of part-time employees has increased
The true statement is that, the median number of part-time employees has increased
The given parameters are:
[tex]\mathbf{n_1 = +7}[/tex] ---- restaurants with more than 18 part-time employees[tex]\mathbf{n_2 = -1}[/tex] ---- restaurants with less than 18 part-time employees [tex]\mathbf{n_3 = 1}[/tex] ---- restaurants with exactly 18 part-time employeesUsing a 0.5 test of significance, the null and the alternate hypotheses are:
Null hypothesis : [tex]\mathbf{H_0 : p= 0.5}[/tex]Alternate hypothesis : [tex]\mathbf{H_a : p \ne 0.5}[/tex]The sample size (n) is calculated using
[tex]\mathbf{n =n_1 -n_3}[/tex]
So, we have:
[tex]\mathbf{n =7 --1}[/tex]
[tex]\mathbf{n =8}[/tex]
The mean of the distribution is:
[tex]\mathbf{\bar x = np}[/tex]
This gives
[tex]\mathbf{\bar x = 8 \times 0.5}[/tex]
[tex]\mathbf{\bar x = 4}[/tex]
Using the right tailed test, we calculate the probability that a restaurant has more than 7 part-time employees.
This is calculated as:
[tex]\mathbf{P(x \ge 7+) = P(x = 7+) + P(x = 8+)}[/tex]
Using the binomial probability table, we have:
[tex]\mathbf{P(x \ge 7+) = 0.0313 + 0.0039 }[/tex]
[tex]\mathbf{P(x \ge 7+) = 0.0352}[/tex]
By comparison,
When the p-value is less than the level of significance, then we will reject the Null hypothesis
Hence, it can be concluded that the median number of part-time employees has increased
Read more about probabilities at:
https://brainly.com/question/6476990
What is 63x13
Me give brainliest
And thanks in advance
Answer:
819
Step-by-step explanation:
PLEASE HELP ITS URGENT DONT GUESS ILL MARK BRAINLIEST IF YOU GET IT RIGHT
Answer:
circumference = 301.44
area =7,234.56
Step-by-step explanation:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle.
96 x 3.14 = 301.44
area = 3.14r^2
radius = d/2
radius = 48
3.14(48^2)
area =7,234.56
Distributive property
9(2n/1)
To distribute, multiply 9 times 2n plus 9 times 1.
9*2n+9*1
18n+9 is your final answer.
Step-by-step explanation:
HELPP PLZZZZZZZZZZ tand thanks
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Answer:
Rate of change = $25 per day
Step-by-step explanation:
Since, rate of change of the data given in the table is constant graph will be a linear graph.
Rate of change of the line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table given,
Graph passes through two points (3, 75) and (4, 100)
Rate of change = [tex]\frac{100-75}{4-3}[/tex]
= 25
Here rate of change defines the change in cost per day.
