Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
Which of the following shows 2 + (x + 3y) rewritten using the Associative Property of Addition? (3 points)
Group of answer choices
A. 2 + x + 3y
B. (2 + x) + 3y
C. 2x + (3 + y)
D. x + (2 + 3y)
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
What is Abigail’s greatest possible age?
Give your answer as a whole number of years.
Answer:i i think Brenda 10
Step-by-step explanation:
Age problems are the algebra word problem which deals with the ages of people in the present time.
Given information-
Abigail is 5 years older than Brenda.
Brenda is twice as old as Carly.
The total of their ages is less than 40.
Age problemsAge problems are the algebra word problem which deals with the ages of people in the present time.
Suppose Abigail is A, Brenda is B and Carly is C years old.
As Abigail is 5 years older than Brenda. Thus,
[tex] A=B+5[/tex] .... 1
As Brenda is twice as old as Carly. Thus,
[tex]C=\dfrac{B}{2} [/tex] ..... 2
As the total of their ages is less than 40.
[tex]A+B+C=40[/tex]
Keep the values of A and C from the equation 1 and 2 in the above equation,
[tex]\begin{aligned}\\ B+5+B+\dfrac{B}{2} &=40\\ 2B+\dfrac{B}{2} &=35\\ \dfrac{4B+B}{2}&=35\\ B&=\dfrac{35}{5} \times2\\ B&=14\\ \end[/tex]
Thus the Brenda is 14 year old. As the Abigail is 5 years older than Brenda. Thus the age of the Abigail is,
[tex]A=14+5\\ A=19[/tex]
Thus the Abigail is 19 year old.
Learn more about the age related problem here;
https://brainly.com/question/91727
Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?
Answer:
4.8
Step-by-step explanation:
Find
the
reciprocal
0f
0.65 to three
Significant
figurs
Answer:
100/ 56
Step-by-step explanation:
100/65 because 0.65 is a decimal number
hope it helps!
Answer:
100/65 because 0.65 is in decimal
Solve the inequality
3n + 2 > 17
Answer:
n > 5
Step-by-step explanation:
Answer:
3n + 2 > 17
Step-by-step explanation:
3n + 2 > 17
-2 -2
3n > 15
÷3 ÷3
n > 5
What is the logarithmic form of 12² = 144?
Answer:
log_(12(144))=2
Step-by-step explanation:
Answer:
[tex]log_{12}[/tex] 144 = 2
Step-by-step explanation:
Using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
12² = 144 ← in index form
with b = 12, n = 2, x = 144, then
[tex]log_{12}[/tex] 144 = 2 ← in logarithmic form
help please if you know the answer
Answer:D
Step-by-step explanation:
Help!! Please and thank you
Answer:
110.9 cm³Step-by-step explanation:
[tex]V=\frac13\cdot A_b\cdot H[/tex]
[tex]A_b[/tex] - Base Area
H - Height of the pyramid
Base is regular triangle: [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]
The volume:
[tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]
A line segment on a graph has endpoints of (-3,1) and (3,1). It is translated 5 units down
and then, reflected across the x-axis.
What are the endpoints after the series of transformations?
Answer:
(-3,4) (3,4)
Step-by-step explanation:
Down means you are dealing with the y value of the pair of points. It also means that you are going into negative territory.
(-3 ,1 -5) and (3, 1-5)
New point
(-3 , - 4) and (3,-4)
Now if you reflect this point across the x axis, you are still changing the y value. You will go from - 4 to + 4
(-3,4) (3,4) <<<<< answer
find x in the given triangle
what is the solution for X in the equation 4x - 3 + 5 = 2x + 7 - 8x
A. X = 2
B. X = -2
C. X = 1/2
D. X = -1/2
Answer:
C. X = 1/2
Step-by-step explanation:
4x - 3 + 5 = 2x + 7 - 8x
4x +2 = - 6x + 7
4x + 6x = 7 - 2
10x = 5
x = 1/2
9 3/5 as a improper fraction
Answer:
48/5
Step-by-step explanation:
hope it helps!
......
The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must have a different title, how many possible selections are there?
Answer:
Concept: Statistics
They will receive 5 booksThere are 23 titles There must be a different title each time.Hence there are 23 total selectionsAnswer:
u will try urself ......okay ...
...
(+8) + (+6) + (+2) =
Answer:
0
Step-by-step explanation:
Multiply − 1 by − 6 . − 8 +6 + 2
Add − 8 and 6 . − 2 + 2
Add − 2 and 2 .
0
the perimeter of the figure.
15 ft
10 ft
Drawing not to scale
A.25ft
B.60ft
C.50ft
D.150ft
Answer:
C. 50ft
Step-by-step explanation:
Perimeter is the outside and in perimeter you add
The length is 15ft
The width is 10ft
There are 4 sides so you want to add the length and width 2 times
L = 15 + 15 = 30
W = 10 + 10 = 20
Then add it all together
30 + 20 = 50
Hope this helps dude
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.
Plan A: Raise the price by $0.10 each week until the price reaches $12.00.
Plan B: Raise the price by 10 percent each week until the price reaches $12.00.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.
Plan D: Raise the price by $0.25 each week until the price reaches $12.00.
Which plan will result in the price of the feed reaching $12.00 fastest?
-plan A
-plan B
-plan C
-plan D
Answer: B is the fastest way
Step-by-step explanation: How to solve this is a bit hard
8*1.1^n =12, so : ln(8) +n*ln(1.1) = ln(12), then
n = (ln(12) - ln(8))/ln(1.1) (≈ means around)4.3 weeks.
Answer: ANSWER IS [B]
Step-by-step explanation:
16. Keisha has a bag that contains 3 red, 2 orange, 1 yellow, and 2 purple marbles. She will
randomly choose 1 marble from the bag. What is the probability that Kelsha will choose
an orange marble?
O.
3
8
2
-bh
1
0
8
o
0
1
4
2
Answer:
1/4
Step-by-step explanation:
you add 3+2=5+2=7+1=8 which is the total amount 8. Then the question is asking What is the probability that Kelsha will choose
an orange marble then the orange marble is 2 which is 2/8. Then simplify 2/8 get to 1/4.
William bought 16 gallons of gas for $37.76. Regina spent $14.64 on 6 gallons of gas. Who got a better deal per gallon?
1 gallon of gas for William= 37.76 ÷ 16= 2.36 $
1 gallon of gas for Regina= 14.64 ÷ 6= 2.44 $
so william got a better deal per gallon.
convert to logarithmic form. PLEASE help!!!! thank you!!! *will give brainliest*
Answer:
( B ) lng = 5
Step-by-step explanation:
1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent show. Which function can be used to find the number of minutes the talent show lasted, not including intermissions?
Answer:
I think f(t)=1/4t
Step-by-step explanation:
Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
What is a function ?function is a relation from a set to another set provided that each element of first set is related to a unique element of another set .
Here given that total time is t minutes
And time of intermission is t/8 minutes
And there are total 2 intermissions
Hence function to find the number of minutes the talent show lasted, not including intermissions can be defined as
f(t)= total time - 2(time of intermission)
[tex]f(t) = t- 2\times \frac{t}{8}\\\\f(t)=t-\fract1}{4}\\\\f(t)=\frac{3t}{4}[/tex]
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
To learn more about functions visit : https://brainly.com/question/25638609
HELP ME 50 POINTS RN
Answer:
A
Step-by-step explanation:
Because it can only lift 2,200 pounds and that means it can lift 2,200 - 0 Pounds
If I buy a sweatshirt for $30, and the sales tax is 7% in my state, how much will I pay for the sweatshirt, including the sales tax?
Answer:
$32.10
Step-by-step explanation:
If you have sales tax, you would first convert the percentage to decimal, or 0.07. Then you would take this number, and add it to one before you multiply it by the price of the sweatshirt. This makes sure that you're not just calculating the sales tax, but the overall price of the shirt. So if you multiply:
30 x 1.07 = 32.1
Add the units, and you get $32.10
Hope this helps!
Answer: The answer is $32.10
Step-by-step explanation: i forgot to put my answer in the answers not comments
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
how do i find a math tutor for free
Why is 2020 edgeunity so hard
Answer:
No Idea I'm On Schoology
Step-by-step explanation:
Solve the equation -2(y - 1) = 9.
-11/2
7/2
11/2
-7/2
Answer:
-7/2
Step-by-step explanation:
Use distributive property: a(b +c) = a*b +a*c
-2(y-1) = 9
y*(-2) - 1*(-2) = 9
-2y + 2 = 9 {Subtract 2 from each side}
-2y = 9 - 2
-2y = 7 {Divide each side by -2}
y = 7/-2
y = -7/2
it costs $42 for 7 staplers. what is the unit rate for the stapler?
Answer:
The answer is 6
Step-by-step explanation:
42 divided by 7=6
During an airplanes ascent, the plane reaches a horizontal distance from the airport of 1 km and then 7 km. The plane ascends at a slope of 2/3. Find the vertical distance (y) in feet that the plane traveled during the indicated spots
Answer:
The vertical distance in feet that the plane traveled was 4 Km
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes across points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The airplane ascent will be modeled with the equation of a line because we are given a constant slope of m=2/3. We also know the horizontal distances are x1=1 Km and x2=7 Km. Substituting in the formula above:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{7-1}[/tex]
Operating:
[tex]\displaystyle \frac{2}{3}=\frac{y_2-y_1}{6}[/tex]
Solving for y2-y1, we get the vertical distance traveled by the plane:
[tex]\displaystyle y_2-y_1=6*\frac{2}{3}=4[/tex]
Thus, the vertical distance in feet that the plane traveled was 4 Km
Please guys help me. I am suck. I will give you the brainliest.❤❤
Answer:
Seventy two guestsStep-by-step explanation:
72 = 72×1
144 = 72×2
288 = 144×2 = 72×4
So each of 72 plates would have one cupcake, two apples and four chocolate bars.
{72 is the highest common factor for numbers 72, 144 snd 288}
Evaluate 5.5r8.35s when r12 and s4.
Answer:
32.6
Step-by-step explanation:
when you plug in for s and r you will get 66-33.4 since 5.5 multiped by 12 is 66 and 8.35 multiplied by 4 is 33.4 .
then you subtract them and that's how you'll get your answer