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
Explain when it is appropriate to use a benchmark percent in solving a problem.
Answer:
The most common benchmark percents are 0%, 10%, 25%, 50%, 75% and 100%.
These benchmark values are sometimes used when estimating a solution involving percentages.
Real-World Example
If an item costs $36.00 and there is a 7% sales tax, the benchmark of 10% can be used to mentally estimate the sales tax of the item.
10% of 36, done mentally, is 3.6.
Since 7% is a bit less than 10%, the sales tax will be a bit less than $3.60.Step-by-step explanation:
Please help I'll give you brainliest and a lot of points
Answer:
about 50
Step-by-step explanation:
they a move up 5 minutes eace half mile
dont come at me if it is wrong :)
x2 - 2xy + y2 when x = 3 and y = 2
Answer:
1
Step-by-step explanation:
Substitute 3 for x and 2 for y:
3^2 - 2(3)(2) + 2^2
= 9 - 12 + 4
= 1
3^2−(2)(3)(2)+2^2
3^2−(2)(3)(2)+2^2
= 1
WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?
In the system of equations, b is a constant. If the system has infinitely many solutions, what is the value of b?
Answer:
The value of b is 9.5
Step-by-step explanation:
If a system of equations has infinitely many solutions, that means the two equations are equal
If the system of equations ax + by = c, dx + ey = f, then
a = d ⇒ coefficients of xb = e ⇒ coefficients of yc = f ⇒ numerical termsLet us use this fact to solve the question
∵ 3x - y = 19 ⇒ (1)
∵ 1.5x - 0.5 y = b ⇒ (2)
∵ This system of equations has infinitely many solutions
∴ The coefficients of x must be equal
∴ The coefficients of y must be equal
∴ The numerical terms must be equal
→ Multiply equation (2) by 2 to make the coefficients of x and y on it
equal the coefficients of x and y in equation (1)
∵ 2(1.5x) - 2(0.5y) = 2(b)
∴ 3x - y = 2b ⇒ (3)
→ By comparing equations (1) and (3), 19 must equal 2b
∵ 2b = 19
→ Divide both sides by 2
∴ b = 9.5
∴ The value of b is 9.5
Which number line shows the points −125 and –2.8?
Solve the following inequality:
55 – 5q > 4(7–9).
Step-by-step explanation:
55 – 5q > 4(7–9)
4(-2)
55- 5q > -8
-5q > -63
q=12.6
I NEED HELP! what shape is symmetry ?
Answer:
E, the heart
Step-by-step explanation:
Answer:
The heart
Step-by-step explanation:
It is able to flip and still look the same
Does this table represent a function? Why or why not?
Hours of
Training
10
20
30
40
Monthly
Pay
1220
1420
1620
1820
2020
2220
2420
50
60
70
Help me pleaseee on this plss
Answer:
a(n)= -4n-6
Step-by-step explanation:
If you plug the number of the sequence in as n in the equation (1=-10, 2=-14, etc.) and then plug the actual number (-10, -14, etc.) in as the a(n), for each of the equations, the only one that works with all four is the first one.
Does anyone know the answer to this problem?
Answer:
15
Step-by-step explanation:
3^2 + sqrt4 + 4
3^2 = 9
sqrt4 = 2
(9)+(2)+(4)=15
therefore, the answer is 15
What is the slope of the line that passes through the points (-2,3) and (-14, -5)?
Write your answer in simplest form
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
Learn more about the Scatter plot here:
brainly.com/question/1386565
#SPJ6
Use the number line to find
0+(
8
19
14
0
19
8
OI-2
21
8
Answer:
put it right in between the 0 and 0.5
Step-by-step explanation:
Answer:
- 19/8 hope you got it right
transversals angles
the answer of your question is angle 3
Have you ever wondered why runners start at different spots on a track instead of lining up together? This is called a staggered start. Since tracks have semicircles (or half circles) on the ends, if all the runners lined up together, runners in outer lanes would need to run farther than runners in inner lanes. Why? Because the circumference of the outer lane is greater than the circumference of the inner lane. Staggering starting positions ensures that all runners run the same distance! Where do you see circles and semicircles in the world around you? Why could finding the area or circumference be helpful?
Step-by-step explanation:
A. Where do you see circles and semicircles in the world around you?
1. Ring.
2. Earing
3. Coin
4. Hockey puck
5. Car tyre
6. Dartboard
7. Wreath
8. Plate
9. Hula hoop
10. Mercedes logo
11. Bass drum
12. Drain
B. Why could finding the area or circumference be helpful?
Finding the area or circumference can help us estimate the size of these circular shape/figures, it can tell us the amount of space they can occupy or the amount of materials needed to produce them
Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party. She needs 2 cartons of blueberries for each batch, and each carton costs $4. Pick all the expressions that represent how much Ellen will spend on blueberries.
Answer:
Ellen will spend
$4(2b) on blueberries
Where b = number of batches of Blueberry scones she wants to make
Step-by-step explanation:
From the above question:.
Ellen needs to make b batches of blueberry scones this weekend for her family's brunch party.
Since she needs 2 cartons of blueberries for each batch, and each carton costs $4
1 batch = 2 cartons of blueberries
b batches =
Cross Multiply
b × 2 cartons
= 2b cartons of blueberries.
We also know that:
1 carton blueberries = $4
2b cartons of blueberries = x
Cross Multiply
x = 2b × $4
Therefore, Ellen will spend :
$4(2b) on blueberries
Identify an equation in point-slope form for the line parallel to y+-2/3x+8 that passes through (4, -5).
Step-by-step explanation:
Line parallel to the line y = -2/3 x + 8 also has the slope -2/3.
Since the line passes through (4, -5), we have (x - 4) written on the right side and (y + 5) on the left side.
Hence the equation is y + 5 = -2/3 * (x - 4). (B)
NEED HELP ASAP!!!!!!!
A container has 12 1/2 cups of pancake mix. A serving uses exactly 1 1/2
cups
• How many full servings are in the container?
• How many cups of pancake mix are left over?
Enter each answer on a separate line.
Answer:
8 full servings
Step-by-step explanation:
1/2 cup of mix left
can someone solve -15 = - 7a - 4 - 4a
and m - 4m = -6
and 8v - 3 + 3v = 8
STEP BY STEP PLEASE.
Answer:
A=1, m=2, v=1
Step-by-step explanation:
A.
[tex]-15=-7a-4-4a\\\\-15+4=-11a-4+4\\\\-11=-11a\\\\a=1[/tex]
B.
[tex]m-4m=-6\\\\\\-3m=-6\\\\\\3m=6\\\\m=2[/tex]
C.
[tex]8v-3+3v=8\\\\11v-3=8\\\\11v-3+3=8+3\\\\11v=11\\\\v=1[/tex]
For A, I first subtracted -4 from -7 as their variables are the same. I cannot subtract integers from variables. Then, I added 4 on both sides to move the integer on the left side. (This would also remove the -4 on the right side because -4+4=0) Then I divided -11 by both sides to get 1a or a.
For B, I subtracted -4 from 1 as their variables are the same. This time, since they are both negative numbers, I can make them both positive. So, just divide 3 by both sides as we want to get 1m.
For C, Add 3 to 8 as v is their variable. Then, I added 3 to both sides because we want to get the variable on one side. Divide by 11 and you will get v=1.
I need the measure of angle 1
Answer:
Angle 1 is 69°
Step-by-step explanation:
9x + 66 = -9x + 156
9x + 9x = 156 - 66
18x = 90
18x/18 = 90/18
x = 5
-9x + 156
-9(5) + 156
-45 + 156
111
180 - 111 = 69.
A field is in the shape of a Rectangle. The width
of the rectangle is x yards. The length of the
rectangle is 3 more than the width. Write an
expression for the perimeter of the field.
Answer:
4x+6
Step-by-step explanation:
The perimeter of the field can be obtained by calculating the distance around the field.
in this case, we know that the shape of the field is a rectangle.
The perimeter of a rectangle can be obtained by using the formula
[tex]2(l+b)[/tex]
The width of the rectangle is given as x yards
The length of the rectangle is given as x +3 yards
Therefore, an expression to determine the perimeter of the rectangle can be given as
[tex]2(x+3+x)\\=2(2x+3)\\=4x+6[/tex]
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
how many students are in the class?
Answer:
36
Step-by-step explanation:
Since the sum of the ratios is 5+7=12 the total number of students must be divisible by 12
The only number within the given range is 36
The number of students should be in the class should be considered as the 36.
Calculation of the number of students:Since
there are between 25 and 43 students in a class
the ratio of boys to girls is 5 : 7
So here the total ratio should be like
= 5 + 7
= 12
So here the number of students should be divisible by 12
So, it should be 36
Learn more about ratio here: https://brainly.com/question/13111469
Aaliyah learned to play a total of 16 pieces over the course of 8 weeks of piano lessons. After 10 weeks of piano lessons, how many total pieces will Aaliyah be able to play? Solve using unit rates.
Answer:
20
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
:P
Egghead Egghead Egghead
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
Help on this please
Answer:
I got 25
I really hope that helps
Answer:
I got B. 25
Step-by-step explanation:
B is your answer
could u plz answer this
2x-7=13
3x+4=25
Answer:
x=10
Step-by-step explanation:
Please help i dont get this!
Answer:
The other one is -8 this is because the point on the graph is multiplied by 2
Step-by-step explanation:
What is 11% of 600?
80
45
60
66
Answer:
66 is the answer to your question
Answer:
66
Step-by-step explanation:
11 % = 0.11
600 × 0.11 = 66