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
There were 24 boys and 20 girls in a chess club last year. This year
the number of boys increased by 25% but the number of girls
decreased by 10%.
Find the overall percent change in membership of the club.
10
Answer:
35%
Step-by-step explanation:
If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.
Joy invests $13,000 into an account at an annual rate of 0.6% simple interest for 24 months. what is the principal?
Answer:
I would think the principal is $13,000
Step-by-step explanation:
Answer:
Principle =$13000
Step-by-step explanation:
what is the horizontal asymptote for this graph
Answer:
Y=0
Step-by-step explanation:
Pls help me and I’ll give brainliest
Answer:
-2
Step-by-step explanation:
do you need an walk through?
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 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost
Answer:
a T-shirt costs £5
a hat costs £2
Step-by-step explanation:
Suppose
A T-shirt=x
A Hat=y
So the equation is
8x+y=42
3x+y=17
So
8x+y=42
3x+y=17
------------
5x=25
x=5
So a T-shirt costs £5
3.5+y=17
15+y=17
y=2
So a hat costs £2
Answer:
t-shirt: £5
hat: £2
Step-by-step explanation:
Please see the attached picture for the full solution.
Sam is flying a kite. The length of the kite string is 80 meters, and it makes an angle of 75° with the ground
what does the question ask?
Answer: 77.27
Step-by-step explanation: I did the test and I got it right.
11. Solve the problem.
Al earns $8.75 per hour and wants to buy a Kindle for $149. About how many hours must he work?
about 10 hours
Answer:
18
Step-by-step explanation:
149/8.75 = 17.02
If he gets paid by the hour, it has to be rounded upwards.
f(x)=4x+4;{-2,-1,0,1,2}
Answer:
i need more info
Step-by-step explanation:
please comment on this to tell me all of said details
Answer:
55 and the gravitational of a new one
Step-by-step explanation:
7th grade and the gravitational of a
I need to know where to place the dot
Answer:
in your but
Step-by-step explanation:
nah jk its 3,-3
How many components is this?
CH11H2O
Answer:
15 components.
Step-by-step explanation:
There is one Carbon, 11 hydrogen, 2 hydrogen, and one oxygen... Add it all tg and thats what you get... Hope this helped you!! Give brainliest..
If 9y - 5 = 22, find the value of 2y.
Answer:
3=y
Step-by-step explanation:
9 × 3 = 27 27 - 5 = 22 2y = 5
please help i dont know how to do this
Answer:
B.
Step-by-step explanation:
jason is filling up a 3/4 gallon pitcher. the one he has to fill it up with is 1/3 of a gallon.
1/3 * x = 3/4
x/3 = 3/4
3 (x/3) = 3 (3/4)
3x/3 = 9/4
x = 9/4
9/4 is 2.25 so the answer is B
What quadrilateral has one pair of opposite angles are congruent.
Kite........................
In 2010, Isaiah paid $6,910 in federal income tax. In 2011, he paid $8,292. What is the percent of increase in the amount paid?
please help and answer this question
Answer:
-2x+9
This is the answer you are looking for
YOUR WELCOME! :D
what is the anwser to 20<2m-16
Answer:
the answer is m>18 hope this helps
What is the product??????
Answer:
but the answer is 0
Step-by-step explanation: i don't know the step by step thing ok
There are 20 blue marbles and 10 red marbles in a bag .if a marble is drawn at random once ,what is the probability that it will be blue
Answer:
2/3
Step-by-step explanation:
First, you figure out how many marbles are in total, which is the denominator. The total number of marbles is 30.
Then, you figure out how many marbles are blue, which is the numerator. There are 20 blue marbles.
Finally, you simplify the fraction. 20/30=2/3.
Answer:
75% i think
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider functions hand k.
For x > 0, the value of k(h(x)) is
For x > 0 functions h and k
the inverse
Answer:
not equal to
are not
Step-by-step explanation:
guessed on plato and got it right. Thank You!!!!
Answer:
The correct answers are:
Not equal to
Are not
Step-by-step explanation:
I got it right on the Edmentum test.
2.Write 784,229 in expanded form
Answer:700,000+80,000+4,000+200+20+9
Step-by-step explanation:
That should be the answer.
There were 5 girls in Ms. Smith’s 6th period class. If 45% of students are girls, about how many boys are in her class?
Answer:
5 is 45% of 11.11
Step-by-step explanation:
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?
Answer:
Molly earned $856 on the first day.
Step-by-step explanation:
From the information given, you know that over 3 days Molly earned $2,568 which is:
x+y+z=2568, where:
x is the amount earned on the first day
y is the amount earned on the second day
z is the amount earned on the third day
Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.
Now you can replace x and y in the first equation and solve for y:
2y+y+3y=2568
6y=2568
y=2568/6
y=428
No, you can replace the value of y to find x and z:
x=2(428)
x=856
z=3(428)
z=1284
According to this, the answer is that Molly earned $856 on the first day.
-2g – 2m + 5, when g=-3 and m= 10
Answer:
9
Step-by-step explanation:
-2g- 2m+ 5
-2(-3) - 2(10) +5
6- 20+ 5
9
100 points!!
Nicole has 425 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling the candy bars. Suppose that P = 2C - 300 gives P as a function of C.
Identify the correct description and appropriate set of values for the domain of the function.
Group of answer choices
the number of candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
the number of candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; the set of all real numbers from 0 to 300
the amount made from selling the candy bars; open curly brackets 0 comma 1 comma 2 comma 3 comma horizontal ellipsis comma 425 close curly brackets
Answer:
its c
Step-by-step explanation:
i just too quiz and it siad this
Answer:
c
Step-by-step explanation:
took the quiz and got 100% on it
Write the power set of the set A={a,b,c}
Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
[tex]2^n[/tex] ➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
[tex]2^3=8[/tex]
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Randy wants to attach a 23 foot string of lights to the top of the 13 foot mast of his sail boat. How far from the base of the mast should he attach the end of the light string?
Answer:
distance from the base where string is attached = 18.97 feet
Step-by-step explanation:
The diagram attached to this solution gives a right-angled triangle formed by attaching the string to the top of the mast. the distance from the base is calculated as follows:
(hypotenuse)² = (opposite)² + (adjacent)²
23² = 13² + d²
529 = 169 + d²
d² = 529 - 169
d² = 360
d = √(360)
d = 18.97 feet
PLEASE ANSWER ASAP THANKSSS :)
Sal wants to know if he has enough money to buy 4 gallons of gas. If he has $15, and each gallon of gas costs $3.29, which is a good estimate for whether Sal will be able to afford 4 gallons of gas?
$3 + $3 + $3 + $3 = 12, so Sal can afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal can afford the gas.
$3 + $3 + $3 + $3 = 12, so Sal cannot afford the gas.
$4 + $4 + $4 + $4 = 16, so Sal cannot afford the gas.
Answer:
The first one ( $3 + 3 + 3 + 3 = 12, so Sal can afford the gas. )
Step-by-step explanation:
the perimeter of a rectangle is 8x+10.if the length is 2x+8 what is the width?
Answer:
6x+2
Step-by-step explanation:
Answer:combine your like terms and solve to get the width .
Step-by-step explanation:
What is the stored energy of an object called?
Kinetic energy
Mechanical energy
Potential energy
Translational energy
Answer:
potential energy
Step-by-step explanation:
because when an object has stored energy its call potential but if it was kenetic energy the energy would have to move
Answer:
C
Step-by-step explanation: