THIS IS MY TEST IN GEOMETRY HELP
What is the angle of depression from the start of a 6-foot high access ramp that ends at a point 40 feet away along the ground? Nearest tenth of a degree.
Answers
Given:
Height of access ramp = 6 foot
Ramp ends at a point 40 feet away along the ground.
To find:
The angle of depression in nearest tenth of a degree.
Solution:
Using the given information, draw a figure as shown below.
In a right angle triangle,
[tex]\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]
In triangle ABC,
[tex]\tan \theta=\dfrac{AB}{BC}[/tex]
[tex]\tan \theta=\dfrac{6}{40}[/tex]
[tex]\tan \theta=0.15[/tex]
Taking tan inverse on both sides.
[tex]\theta=\tan^{-1}(0.15)[/tex]
[tex]\theta=8.5307656[/tex]
[tex]\theta \approx 8.5[/tex]
Therefore, the angle of depression is 8.5 degrees.
Related Questions
- Write an equation of the line that passes through (2, -1) and (-3, 3).
Answers
9514 1404 393
Answer:
y = -4/5x +3/5
Step-by-step explanation:
The 2-point form of the equation for a line can be useful.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (3 -(-1))/(-3 -2)(x -2) -1
y = 4/(-5)(x -2) -1
y = -4/5x +8/5 -1
y = -4/5x +3/5
geometry triangles plz helpp
Answers
Joshua rented a movie for $4.49 from Cinema Rentals. If the movie is not returned on the due date, Cinema Rentals charges an
additional $2.25 a day until the movie is returned. If Joshua returns the movie x days after its due date, which of the following
functions represents the total cost, R(x), he paid for the movie rental?
Answers
Answer:
R(x) = 2.25x + 4.49
Step-by-step explanation:
Equation form: R(x) = mx + b
m: represents the additional amount Joshua is charged for every day until he returns the movie, which in this case is $2.25. So, the value of m is 2.25.
b: represents the initial cost of renting the movie. Joshua rented the movie for $4.49, so b is 4.49.
Since we know the value of m and b, we can write the equation:
R(x) = 2.25x + 4.49
If the distance from 0 to x on a number line is equal to 5 then -5+ X equals 0.
Answers
it is equal to zero
Step-by-step explanation:
because in number line there are positive and negative sides
Mrs. Petruzziello baked pizzas. 2 out of 10 of the pizzas are vegetarian. Her husband says this is 2%. Is he correct? How do you know. Show your answer using a model (tape diagram, double number line, grid).
Answers
The number of calories in Swiss cheese varies directly with the weight of the cheese. There are about 200 calories in 50 grams of Swiss cheese. Willie ate 70
grams of Swiss cheese. About how many calories did he eat?
Answers
Answer:
He ate about 4.6 of cheese
Step-by-step explanation:
Answer:
280 calories
Step-by-step explanation:
let's make a proportion: 50/70 = 200/x
cross multiply: 50 * x = 70 * 200
multiply: 50x = 14000
divide each side by 50: x = 280
answer is 280 calories
I hope this helped, please mark Brainliest, thank you!! :)
Write the equation of a line that is parallel to the graph of y = − 7x − 9, and passing through the point (1, 10). SHOW ALL WORK!
Answers
Answer:
y = - 7x + 17
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 7x - 9 ← is in slope- intercept form
with slope m = - 7
Parallel lines have equal slopes, thus
y = - 7x + c ← is the partial equation
To find c substitute (1, 10) into the partial equation
10 = - 7 + c ⇒ c = 10 + 7 = 17
y = - 7x + 17 ← equation of parallel line
Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.
Answers
Answer:
1,3,2,4
Step-by-step explanation:
PLSS HELP with 1 3 and 4
Answers
Answer:
1.) slope is 6
2.) slope is -4
4.)slope is undefined
Step-by-step explanation:
1.) For one we can use the equation y2-y1/ x2-x1
First, pick any 2 points that you want to use to plug into the equation
(0, -3) and (1, 3)
Next, plug in and solve!
3-(-3)/ 1-0= 6
The slope is 6
2.) We can use this same equation for the problem and plug in!
(-1, 5) (2,-7)
-7- 5/ 2-(-1)= -4
The slope is -4!
4.) Use the same equation and find the slope!
(8, 1) and (8, 2)
2-1/ 8-8= undefined
Because we cannot divide by a 0 the slope is undefined!
Who is correct
Thanks who ever helps me!!!
Answers
Answer:
Benett
Step-by-step explanation:
Answer: Betty
Step-by-step explanation:
Bennet isn't correct because we can plug in 300 for r. It will become 300= 50t, and solving for t, we get that it would take 6 minutes.
Betty is correct because we can change the variables r and t to y and x respectively. In this case, 50 would be the constant of proportionality, or k.
The ratio of the perimeter of a square to the length of a rectangle is 5:6.
The ratio of the length to the width of the rectangle is 3:2.
The perimeter of a rectangle is 60cm.
Find the area of the square.
Answers
Answer:
=225/16cm^2
Step-by-step explanation:
Given
The ratio of the length to the width of the rectangle =3:2.
The perimeter of a rectangle = 60cm.
Solution
Let length=3x
width=2x
Perimeter of rectangle=2(length + width)
2(3x+2x)=60
5x*2=60
10X=60
X=60/10
X=6
SO LENGTH =3×6=18cm
WIDTH=2×6
=12cm
Let perimeter of the square=5x
Length of rectangle=6x
6x = 18
X=18/6
X=3
SO PERIMETER OF SQUARE=5×3
4SIDE=15
Side=15/4
Area of square=15/4×15/4
=225/16cm^2
Write the slope intercept form of the equation of the line that passes through the points (0, 3) and (1, −3)
Answers
Answer:
The slope is 6-1
Step-by-step explanation:
the y intercept is 3
PLEASE HELP! THANKS!!
Answers
Which of the following units are units of capacity?
A)ml
B)mm
C)tonne
D)mg
E)cl
F)kg
G)cm
H)km
I)m
j)g
K)l
Answers
Answer:
A, D, E, F, J, and L
Explanation :
These units can hold things!
The furniture store bought a table for $200, and sold it for $350. What was the percent increase of the price of the table.
Answers
Answer:
it was
Step-by-step explanation:
150 are dumb..
You are going to a bowling alley and have $10 to spend. Renting bowling shoes cost $1.50. Each game cost $2.
A. Write an equation that can be used to find out the number of games you can bowl.
B. Solve it.
Answers
Answer:
6.50
Step-by-step explanation:
10.00[tex]10.00 - 1.50 - 8.50 - 2.00 = 6.50[/tex]what is 2(3x – 4) = 8x – 4 – 2x.
Answers
Answer:
no solution
Step-by-step explanation:
2(3x - 4) = 8x - 4 - 2x
combine like terms
6x - 8 = 6x - 4
0 = 4
What is the slope of the line that contains these points?
x 9 13 17 21
y -24 -21 -18 -15
Answers
Answer: m=3/4
Step-by-step explanation:
Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.
[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]
Now, we know that the slope is 3/4.
Answer:
slope = 3/4
Step-by-step explanation:
Which angles are supplementary angles?
Answers
Answer:
∠HGD and ∠FGD
Step-by-step explanation:
supplementary means they add up to 180 (straight line)
Answer:
D) Angle DGH and Angle FGD
Step-by-step explanation:
We observe that Angle DGH and Angle FGD form a linear pair and hence, are supplementary.
whats the circumference of a circle if the radius is 1.5 show your work
Answers
Answer:
Step-by-step explanation:
C=2πr
C=2×π×(1.5)
C=3π
But=22/7
Therefore C=3×22/7
C=9.43
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. What is the total amount she earned over these three days? $ Day Item Price 1 Sofa Chair $350 N Loveseat $500 3 Couch $1,200
Answers
Answer:
Step-by-step explanation:
46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08
ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08
Answer: 614
Step-by-step explanation:
because i did it on edge 2020
31 = - (1 +6p ) +4(p + 6 )
Answers
Answer:
p = -4
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
p = -4
Step-by-step explanation:
I'm not going to explain each step, just try to follow along.
31 = -(1+6p)+4(p+6)
31 = -1-6p+4p+24
7 = -1-2p
8 = -2p
p = -4
I hope this helps!
Brooke has $50 in a savings account that earns 5% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?
Answers
Answer:
7 $ and 50 cents
Step-by-step explanation:
Answer:
total amount= $57.88 or intrest = $7.88
Step-by-step explanation:
amount= principal (1 + intrest in decimal)^time
amount = 50 (1 = .05) ^ 3
subract the principal to find the intrest.
Match the values with the equivalent percentages.
Answers
Two competing sports equipment suppliers sell footballs at different prices. Supplier A charges $85 in shipping, and charges $2.59 per football. Supplier B charges $50 shipped, and charges $4.29 per football. A school wants to buy 40 balls.
What is the equation for supplier A? Answer:
What is the equation for supplier B? Answer:
Which supplier has the lowest average cost per ball? Answer:
Answers
Supplier B: $221.6
I hope I helped but I honestly have no idea if I did. Anyway sorry if I didn't. Good luck.
The equation for supplier A and supplier B will be y = 2.59x + 85 and y = 4.29x + 50, respectively. Supplier A has the lowest average cost per ball.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Footballs are sold at varying prices by two rival sports equipment vendors. Supplier A costs $85 for shipping and $2.59 for each football. Supplier B costs $50 for shipping and $4.29 per football. A school wants to purchase 40 balls.
Let x be the number of the football and y be the total cost.
The equation for supplier A will be given as,
y = 2.59x + 85
At x = 40, the value of 'y' is given as,
y = 2.59 × 40 + 85
y = $188.6
The equation for supplier B will be given as,
y = 4.29x + 50
At x = 40, the value of 'y' is given as,
y = 4.29 × 40 + 50
y = $221.6
Supplier A has the lowest average cost per ball.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
PLEASE HELP ME!! THANK YOU!!
Answers
PLEASE HELP PLEASE HELP
Answers
Answer:
Step-by-step explanation:
2x^3+x^2-8x-4
(2x+1)(x+2)(x-2)
Is there a series of rigid transformations that could map TriangleKLP to TriangleQNM? If so, which transformations? No, TriangleKLP and TriangleQNM are congruent but TriangleKLP cannot be mapped to TriangleQNM using a series rigid transformations. No, TriangleKLP and TriangleQNM are not con gruent. Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M. Yes, TriangleKLP can be rotated about P and then translated so that L is mapped to N.
Answers
Answer:
C. Yes, Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M
Step-by-step explanation:
2020 EXAM
Answer: C
Step-by-step explanation:
Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M.
is -33 an integer?
Answers
Answer:
Yes
Step-by-step explanation:
An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not an integer.
Please help! I don't understand!
Answers
Answer:
F
Step-by-step explanation:
Answer: G.
Step-by-step explanation:
Just try it out please, I'm 99.9% sure about this answer.