Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answers
Answer:
h = 50 inches
Step-by-step explanation:
To find the value of h, we are to use the appropriate trigonometric ratio
The given angle faces the unknown length and that makes the unknown length the opposite side
The given side faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the opposite and the hypotenuse is the sine
The sine of an angle is the ratio of the opposite side to the hypotenuse
Thus, we have it that;
sin 23 = h/129
h = 129 * sin 23
h = 50 inches
Related Questions
Now solve this equation for y. Remember the roller coaster is above ground, so you are only interested in the positive root.
Answers
Answer:
[tex]y = \sqrt{ 900 - x\²[/tex]
Step-by-step explanation:
In the complete question, the area of the roller coaster is:
[tex]x\² + y^2 = 900[/tex]
Required
Solve for y
We have:
[tex]x\² + y^2 = 900[/tex]
Subtract [tex]x\²[/tex] from both sides
[tex]y^2 = 900 - x\²[/tex]
Take positive roots of both sides
[tex]y = \sqrt{ 900 - x\²[/tex]
in . 3.5 in 4 9 in 4 in . The triangular prism above has been created with two equilateral triangles and three congruent rectangles . The height of the triangles is 3.5 inches . Find the surface area of the triangular prism . square inches
Answers
Answer:
122 in²
Step-by-step explanation:
Applying,
S.A = bh+ bl+bl+bl............. Equation 1
Where S.A = Surface area of the prism, b = base of the triangle, h = height of the triangle, l = lenghth of the prism
From the question,
Given: b = 4 in, h = 3.5 in, l = 9 in
Substitute these values into equation 1
S.A = 4×3.5+9×4+9×4+9×4
S.A = 14+108
S.A = 122 in²
Hence the surface area of the prism is 122 in²
Find the value of x in The parallelogram.
Answers
Answer:
48 degrees
Step-by-step explanation:
x+132 should be equal to 180, property of a parallelogram (and same side interior angles)
180-132=48
Answer:
x = 48
Step-by-step explanation:
Consecutive angles in a parallelogram sum to 180° , so
x + 132 = 180 ( subtract 132 from both sides )
x = 48
Use the properties of logs to determine how many more times severe was the San Francisco earthquake? The severity is equal to the ratio below:
Answers
Answer:
The answer is "158.489"
Step-by-step explanation:
for san francisco earthquake:
[tex]\log(\frac{a_1}{T}) + B = 7.8\\\\\log(\frac{a_1}{T})+\log(10^{B}) = 7.8\\\\\log(\frac{a_1}{T} \times 10^{B})=7.8\\\\(\frac{a_1}{T} \times 10^B=10^{7.8}...............(i)[/tex]
similarly , for coloumbia earthquake:
[tex]\frac{a_2}{T}\times 10^B = 10^{5.6}.................(ii)[/tex]
divide equation (i) and (ii):
[tex]\frac{a_1}{a_2}=\frac{10^{7.8}}{10^{5.6}}\\\\\frac{a_1}{a_2}=10^{2.2}\approx 158.489[/tex]
There is a special offer at the book shop.
Ryan chooses 4 books that cost
£4.00
£3.80
£3.00
and £1.20
Special
offer
4 for the
price of 3.
Buy any 4 books and get
the cheapest one completely free!
What fraction of the normal total price does he save?
Choose the correct calculation.
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£1.20
£4.00 + £3.80 + £3.00 + £1.20
£1.20
£4.00 + £3.80 + £3.00
x (£4.00 + £3.80 + £3.00 + £1.20)
Answers
price of 3Step-by-step explanation:
Scarlett can bake 10 cookies with each scoop of flour. Write an equation that shows the relationship between the scoops of flour x and the cookies y. Write your answer as an equation with y first, followed by an equals sign.
Answers
Where y is equal to the amount of cookies and x is the scoops of flour.
The circumference of a circle can be found using the formula C = 2r.
Which is an equivalent equation solved for r?
r = C
r = C(2)
r = r equals StartFraction C Over 2 pi EndFraction.
r = r equals StartFraction 2 pi Over C EndFraction.
Answers
Answer:
r = C/(2π)
Step-by-step explanation:
C = 2πr
Divide both sides by 2π
C/(2π) = r
r = C/(2π)
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the circumference C = 2πr, lets make radius r the subject of the formula.
C = 2πr
Divide both sides by 2π
C/2π = 2πr/2π
C/2π = r
r = C/2π
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r = start fraction C over 2 pi end fraction is the correct answer.
Learn more about circles here: brainly.com/question/11952845
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A circle with the centre (0,0) has an equation of x2 + y2 = 169
a. What is the radius?
Answers
Write down the complementary base strand for this DNA molecule. (no spaces, all capital)
ATCGCACGT
Answers
Complete the Steps to Solve the Equation -13x-11=-37
-13x-11=-37
-13x=
Answers
Answer:
x=2
Step-by-step explanation:
-13x-11=-37 Original equation
-13x=-26 Add 11 to both sides
x=2 Divide both sides by -13
What is the solution to this equation? X/4 =-12
A. x = 48
B. X= -3
C. x = -48
D. X= 3
Answers
Answer:
C. x=-48
Step-by-step explanation:
x/4=-12
multiply both sides by 4
4x/4=4 (-12)
simplify
x=-48
The base of triangle M is four times the base of tri-
angle N, while the height of triangle N is half the
height of triangle M. The area of triangle M is how
many times that of triangle N ?
Answers
Answer:
two times
Step-by-step explanation:
ΔM: let 'h' = height; let '4b' = base
ΔN: let 'h/2' = height; let 'b' = base
Area (ΔM) = 2bh
Area (ΔN) = bh
The seating capacity of a basketball stadium is 5,782. The seats are arranged in 24 sections of the same size. Any seats that are leftover from the 24 sections are called priority seats. How many seats are priority seats? I did not understand how to solve this problem.
Answers
Divide capacity by sections:
5782 / 24 = 240.9167
The number of seats in each section is needs to be a whole number so there are 240 seats per section:
240 seats per section x 24 sections = 5,760 seats.
Priority seats is capacity - total section seats:
5782 - 5760 = 22
There are 22 priority seats
A line's y-intercept is 1, and its slope is -5. What is its equation in
slope-intercept form?
help please
Answers
Slope intercept form is y=mx+b
m is slope and b is the y-intercept
As general equation of y-intercept is y=mx +b
Hope it helps!
Guys This is one of the most difficult question .
I salute the person who answer it correctly
The question goes like this :
The present price of a Camera is $32400. After day to day use, its price depriciates !! in such a way that its price will be $0 in 12 years ,, Then calculate the ptice of the Camera after 4 years.
Answers
Answer:
$21,600
Step-by-step explanation:
32400÷12=2700
2700×4=10,800
32400-10800=21600
Answer: $21,600
Step-by-step explanation: 32400÷12=2700
2700×4=10,80032400-10800=21600Use a net of the square pyramid, if necessary, to find the surface area of the pyramid.
Answers
Answer:
128 if it wants the whole thing than 192
Step-by-step explanation:
Substitute w = 4 into the following expression
10 – 4w
Answers
Answer:
-6
Step-by-step explanation:
Substitute as in replace "w" with 4
10-4(4)
Multiply -4 and 4
-16
10-16=-6
Hope this helps
Answer:
-6 it wouldnt let me post this without having 20 letters in my answer
Step-by-step explanation:
10 - 4*4 = -6.
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
Answers
Answer:
[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]
[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
Please Help I'll give brainliest
Answers
Answer:
259.8
Step-by-step explanation:
Help With the answer Please
??????
Answers
Answer:
not sure
Step-by-step explanation:
Answer:
b) FIGURE A AND FIGURE B
Step-by-step explanation:
figure c has
all the sides equal so its not a rectangle
What is the area of the given compound shape?
a) 69.8cm^2
b) 39.8cm^2
c) 49.6cm^2
Answers
Answer:
39.8 cm^2
Step-by-step explanation:
area of triangle
base = 5 cm
height = 12 cm
are of triangle = base *height / 2
=5*12/2
=60/2
30 cm^2
area of semi circle
diamtere = 5
radius = diameter/2
=5/2
=2.5
area of semi circle = πr^2/2
=3.14*2.5^2/2
=19.625/2
=9.8125 cm^2
are of the figure = are of triangle + area of semicircle
=30 + 9.8125 cm^2
=39.8125 cm^2
=39.8 cm^2 (after converting to the nearest tenth)
Can anyone help with this?
Answers
Which expression can go in the blank to make the equation true?
-2.9 + 2.8 + ____________ = 0
Answers
Answer:
+0.1
Step-by-step explanation:
when we subtract 2.9 and 2.8 we get -0.1 and to make it zero we have to keep +0.1
does the equation define y as a function of x? y^2 = 7 - x^2
Answers
An airplane covers 1824 km in an hour How much distance will it cover in 3.7 hours
Answers
Answer:
6748.8 km
Step-by-step explanation:
in 1 hour = 1824
in 3.7 hour = 1824×3.7
=6748.8 km
Simplify 6(x + 3).
6x + 3
x + 18
6x + 18
6x + 9
Answers
Answer:
the answer of this question is = 6x + 18
Please help me with this. Ill give you a brainliest.
Answers
Answer:
7. Circumcenter is (5,8)
8. Circumcenter= (-4,-5)
9. Circumcenter= (-4,9)
10. Circumcenter= (5.5, -5.5)
If P = (-3,5), find the image
of P under the following rotation.
90° counterclockwise about the origin
([?], [
[]
Enter the number that belongs in
the green box
Answers
Answer:
(-5 , -3)
Step-by-step explanation:
use formula of 90 degree counterclockwise rotation about the origin
formula:
(x , y) = (-y , x)
(-3 , 5) = (-5 , -3)
The required coordinate of the point after 90° clockwise rotation is (-5, -3).
What does it mean by rotation?A shape or item is rotated when it is spun around a certain point (center) without being moved in any other way. Size and shape are unaffected by rotation.
The given coordinate of the point is (-5, -3).
Counterclockwise rotation about the origin is given as,
(x , y) = (-y , x)
(-3, 5) = (-5 , -3)
Thus, the required coordinate of the point after 90° clockwise rotation is (-5, -3).
Learn more about rotation here:
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Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answers
Answer:
B
Step-by-step explanation:
Look at the figures below.
Figure A.
The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.
Figure B.
The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.
Figure C.
The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.
Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?
Answers
Answer: Hi the answer would be 32 Degrees
Step-by-step explanation:
