A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.
===========================================================
Explanation:
The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.
We'll use the tangent rule to connect the opposite and adjacent sides.
tan(angle) = opposite/adjacent
tan(13) = 13/x
x*tan(13) = 13
x = 13/tan(13)
x = 56.309186365694
x = 56 inches is the approximate horizontal distance underneath the ramp
The base of the ramp is 57 inches long.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The tangent function relates the opposite side (height) and adjacent side (base) of a right triangle to the angle of elevation.
We know the opposite side is the height of the ramp, which is 13 inches, and the angle of elevation is 13 degrees.
Let the adjacent side (the base of the ramp) be "x".
The tangent of 13 degrees is equal to the opposite side divided by the adjacent side:
tan(13) = 13/x
To solve for x, we can multiply both sides by x:
x × tan(13) = 13
Then, we can divide both sides by tan(13):
x = 13 / tan(13)
x = 13 / 0.228
x= 56.99
Therefore, the base of the ramp is 57 inches long.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ2
SOMEONE HELP ME PLEASE
Simplify The Radical Expession
Answer:
[tex]\sqrt[4]{324n^4} =[/tex][tex]\sqrt[4]{4*81n^4} =[/tex][tex]\sqrt[4]{4*3^4n^4} =[/tex][tex]3|n|\sqrt[4]{4}[/tex]Correct choice is B
Can y’all help me on question 13?!
Answer:
90 cm²
Step-by-step explanation:
The shape can be divided in three rectangles.
Area = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1 = L*W
L = 5 cm
W = 3 cm
Area = 5*3 = 15 cm²
✔️Area of rectangle 2 = L*W
L = 6 + 5 + 1 = 12 cm
W = 5 cm
Area = 12*5 = 60 cm²
✔️Area of rectangle 3 = L*W
L = 5 cm
W = 3 cm
Area = 5*3 = 15 cm²
✅Area of the shape = 15 + 60 + 15 = 90 cm²
Need help if anyone can help me that’ll be nice
Answer:
times up the outside bc we know the outside is the area
Get brainly if right?
10 points!
Answer:
Tn = -13n +37
ordered list is 24, 11 , -2 , -15, -28 ,-41
Find the mean of the set of data: 10,12,29,2,19,42,23,23
Answer:
20
Step-by-step explanation:
mean is average
add all numbers get 160
divide by number of numbers (8) and get 20
Answer:
when you find the mean of a data set, you add all the numbers up then you divide the sum by the numbers in total. the sum is 160, you then divide by total of number which is 8 . your answer is 20. not sure if that made sense lol
can someone answer this i’ll give u a cookie PLEASE I NEED IT NOW
Answer:
its c
Step-by-step explanation:
Write the number 2.4 in the form
A/B, using integers,
Answer:
[tex] \frac{12}{5} [/tex][tex]2 \frac{2}{5} [/tex]Step-by-step explanation:
Convert to simplified fraction:
Convert to a mixed number by placing the numbers to the right of the decimal over 10. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
Convert to Mixed fraction:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is 1 number to the right of the decimal point, place the decimal number over 10[tex] ^{1} [/tex](10). Next, add the whole number to the left of the decimal.
[tex]2 \frac{4}{10} [/tex]
Reduce the fractional part of the mixed number.
[tex]2 \frac{2}{5} [/tex]
Hope it is helpful...If x=4 and y=5. The value of 3x-5y
Answer:
13, I believe :)
Step-by-step explanation:
3(4)-5(5)
multiply by the coefficient
=12-25
=-13
y = 3 sine (one-third x)
Answer:
B on edge
Step-by-step explanation:
Given the function
()= 33 +32 −6
43 + 42 − 80
a) Find the horizontal asymptote b) Find the vertical asymptote
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
[tex] \frac{2}{3} a - \frac{1}{6} = \frac{1}{3} \\ \frac{2}{3} a = \frac{1}{2} \\ 4a = 3 \\ a = \frac{3}{4} [/tex]
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
O 1+√211
O-1+ 19;
O 1+2 V19;
O 1+ 19;
Answer:
1 ± √19i
Step-by-step explanation:
Using the image, find the slope of the line. Reduce all fractions and enter using a forward slash (i.e. "/"). If the slope is undefined, enter "undefined."
9514 1404 393
Answer:
0
Step-by-step explanation:
The slope of a horizontal line is zero (0). For any finite "run", the "rise" is zero.
slope = rise/run = 0/run = 0
hi I need help on this
Answer:
144 cm³ or 144 cubic centimeters
Step-by-step explanation:
Volume = Area triangle * height
Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12
12 x 12 = 144 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
HELP PLEASE!!!!
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
ASA
Step-by-step explanation:
Both triangles contains two angles which indicate that it can only be the top 2 options.
HELPPPP I need help with this question!!!!
I think the 4th one but Im not too sure please forgive me if I'm wrong.
What's the surface area of this figure? Pick one of the options.
please help! (listing BRAINLIST and giving points) :)
Answer:
sin∅ = 12/13
Step-by-step explanation:
use pythagorean theorem to find the missing side
a² + 5² = 13²
a² = 13² - 5²
a² = 169 - 25
a² = 144
a = 12
-----------------------------
Sin∅ = opp/hyp
sin∅ = 12/13
What is the sum of the interior angle measures of a polygon that has 11 sides?
HINT: Sum= (n-2)180
Answer:
Step-by-step explanation:
no of sides (n)=11
sum=(n-2)180
=(11-2)180
=9*180
=1620
therefore sum of the interior angles of a polygon having 11 sides id 1620°.
Answer:
n= 1620
Step-by-step explanation:
I know the answer is correct I got the exact same question during the lessons.
How do you round off to the nearest 1000 ?
Rule I: While rounding off to the nearest thousand, if the digit in the hundreds place is between 0 – 4 i.e., < 5, then the hundreds place is replaced by '0'. Rule II: If the digit in the hundreds place is = to or > 5, then the hundreds place is replaced by '0' and the thousands place is increased by 1.
Step-by-step explanation:
hlo bookworm
please answer my questions??
A computer is an electronic device that manipulates information, or data. It has the ability to store, retrieve, and process data. You may already know that you can use a computer to type documents, send email, play games, and browse the Web
Help plz I’m so confused
Answer and Step-by-step explanation:
Simply multiply the numerator by the numerator, and the denominator by the denominator.
[tex]-\frac{2}{7}[/tex] × [tex]-\frac{3}{7}[/tex] = [tex]\frac{6}{49}[/tex]
#teamtrees #PAW (Plant And Water)
cuanto es 99+85+23+1231141221+52154234+265326355
help me plz plz!! It's due tomorrow will Mark u as BRAINLIEST
Answer: Mean(Mia)=34.33 Mean(Sophia)=35.667
Sophia's phone calls on average, are longer in length than Mia's phone calls.
Step-by-step explanation:
A woman when working with her takes 2 hours to complete the housework, and takes 3 hours when working alone How long would it take the daughter to complete the housework if working alone?
The daughter will take 6 hours to complete the housework if working alone.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A woman when working with her takes 2 hours to complete the housework and takes 3 hours when working alone.
Let's suppose y minutes taken by the daughter to complete the housework:
Rate for daughter = 1/x
1/3 + 1/x = 1/2
2x + 6 = 3x
x = 6 hours
Thus, the daughter will take 6 hours to complete the housework if working alone.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
A collection of 39 coins consists of dimes and nickels. The total value is $2.75. How many dimes and how many nickels are there?
Answer:
23 nickels and 16 dimes
Step-by-step explanation:
16 dimes = 1.60
23 nickels = 1.15
1.60 + 1.15 = 2.75
Help please ASAP ASAP ASAP
Answer:
13A
Step-by-step explanation:
The distance between two points P=(px,py) and Q=(qx,qy) is d=(qx−px)2+
I don’t understand if anyone can explain?
Answer:
Part A: 320 ft²
Part B: 2,304 ft²
Step-by-step explanation:
Part A:
Area of one triangular face of the square pyramid = ½*base*height
base = 32 ft
height = 20 ft
Area = ½*32*20
Area = 320 ft²
Part B:
Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces
= s² + 4(area of 1 triangular face)
s = 32 ft
area of 1 triangular face = 320 ft²
Total surface area = 32² + 4(320) = 1,024 + 1,280
= 2,304 ft²
Discuss three contributing factors that led to the human violations of human trafficking
Answer:
Three contributing factors that led to human trafficking
Political instability, militarism, civil unrest, internal armed conflict and natural disasters may result in an increase in trafficking. The destabilization and displacement of populations increase their vulnerability to exploitation and abuse through trafficking and forced labour.
Please help. How do I solve this?