A ramp 35 ft long rises to a platform. The bottom of the platform is 18 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree. (PLZ HELP I NEED HELP!)
Answers
Answer:
[tex]x\approx 59.1^\circ[/tex]
Step-by-step explanation:
Since we want to find x and we are given the hypotenuse and the side adjacent to x, we can use the cosine ratio:
[tex]\displaystyle \cos x=\frac{\text{adjacent}}{\text{hypotenuse}}[/tex]
The adjacent side is 18 and the hypotenuse is 35. Substitute:
[tex]\displaystyle \cos x=\frac{18}{35}[/tex]
Take the inverse cosine both sides. Use a calculator (make sure you're in Degrees mode!). Hence:
[tex]\displaystyle x=\cos^{-1}\frac{18}{35}\approx59.1^\circ[/tex]
Related Questions
REALLY NEED HELP. WILL GIVE BRAINLIEST.
Answers
Answer:
Question 1
Blank 1: 24m
Blank2: 42n
Question 2
Blank 1
164,340
Answer:
1rst Blank: 24 m
second blank :42
question 2 , Blank 1 : 164 , 340
I hope this helps!
3. write an equation of the circle whose center is (-5,2) and whose radius length is 4 express your answer in standard form. I NEED MY WORK TO BE SHOWN PLEASE HURRY I AM BEING TIMED!!!!!
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Center is (h,k) h = -5, k = 2
Radius is 4, r = 4
(x - -5)^2 + (y - 2)^2 = 4^2
(x + 5)^2 + (y - 2)^2 = 16
please i just need number 2 a b and c pleaseeeeeee
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Answer:
i dont care
Step-by-step explanation:
irdc
PLEASE HELP ME!! IF ANYONE IS THERE COMNE ON 10 POINTS!!
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225 + 1296 = c^2
/1521 = /c^2
c = 39
Geometry
The two legs squared could equal the hypotenuse, c.
(a and b could be either 36 or 15, there's not a way to confirm which is which)
[tex]a^{2} + {b}^{2} = {c}^{2} [/tex]
15^2+36^2=c^2
225+1296=c^2
√1521=√c^2
c=39
Plzzzzz help! I need answers quickly!!!! I’ll give best answer!
9) y = 4.
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Hiện nay mẹ hơn con 24 tuổi cách đây 3 năm tuổi con bằng 1/4 tuổi mẹ tính tuổi của con
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Answer:
mẹ 35 tuổi con 11 tuổi
Step-by-step explanation:
the 9th term of the given sequence is represented by 1 8 27 64 125 is please give the answer
Answers
Answer:
[tex]T_9= 729[/tex]
Step-by-step explanation:
Given
[tex]1,8,27,64,125[/tex]
Required
The ninth term
First, we need to understand the pattern.
The pattern is: [tex]1^3,2^3,3^3,4^3,5^3[/tex]
So, the nth term is:
[tex]T_n = n^3[/tex]
Substitute 9 for n
[tex]T_9= 9^3[/tex]
[tex]T_9= 729[/tex]
Find the area of the decagon.
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Answer:
A=5/2a^2(5+2√5)
Step-by-step explanation:
Vanderbilt University has this data set: 305, 315, 285, 285, 290, 280, 300, 310, 310, 315, 305
The MEAN of this data set is
Answers
Answer:
300
Step-by-step explanation:
305
[tex]305 + 305 + 315 + 315 + 285 + 285 + 310 + 310 + 290 + 280 + 300 = 3300 \div 11[/tex]
Which system of linear inequalities is represented by the graph
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Answer:
Y = 0.5x-1 is the formula
Alexis bought 6 pounds of hamburger meat for a
barbecue. How many ounces of meat did she buy?
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Answer:
96
Step-by-step explanation:
1 pound=16 ounces
6x16=96
Answer:
She bought 96 ounces.
Step-by-step explanation:
When you convert 6 pounds into ounces it's 96 ounces.
1 pound equals 16 ounces.
16 ounces times 6 is 96.
(102)^2-(98)^2
Factories it
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[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{102^2 - 98^2}[/tex]
[tex]\mathsf{102^2}[/tex]
[tex]\mathsf{= 102\times 102}[/tex]
[tex]\boxed{\mathsf{= \bf10,404}}\large\checkmark[/tex]
[tex]\mathsf{\bold{10,404} - 98^2}[/tex]
[tex]\mathsf{98^2}[/tex]
[tex]\mathsf{= 98\times 98}[/tex]
[tex]\boxed{\mathsf{=\bf 9,604}}\large\checkmark[/tex]
[tex]\mathsf{10,404 - \underline{9,604} = \boxed{\bf800}}\large\checkmark[/tex]
[tex]\rightarrow\mathsf{102^2 - 98^2 = \boxed{\bf 800}}\large\checkmark[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 800}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Need help plz thanks
Answers
Answer:
x= 128
Step-by-step explanation:
x and 128 are vertical angles and vertical angles are equal
x= 128
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Find the area of a circular pool whose radius is 2 meter.
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Answer:
Step-by-step explanation:
area of a circular pool=πr^2
=3.14*(2)^2
=3.14*4
=12.56 m^2
Answer:
12.56 inches squared
Step-by-step explanation:
Radius= 2
Diameter= 4 (double the radius)
Pi= 3.14
Formula for finding area of circle= Pi x r squared
2 x 2= 4 (to find diameter)
4 x 3.14= 12.56
(to find area)
:)
what is the correct way to describe this vector ?
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Answer:
idrk the answer but i think its r = x+3y
Tom used the following steps to find the inverse of f(x), but he thinks he made an error.
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Answer:
4
Step-by-step explanation:
He made the mistake in step 4
The correct step should be x +2 as two had the sign "-" when it was on the other side
Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
Step 1: f(x) = 4x - 2
Step 2: y = 4x - 2
Step 3: x = 4y - 2
Step 4: x + 2 = 4y (add 2 on both sides)
Thus, Tom made a mistake in step 4, and to correct the mistake he should add 2 on both sides in step 4.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
Find the volume of the sphere. Round your answer to the nearest tenth if necessary.
Use 3.14 for π.
The volume of the sphere is about ft3.
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Answer:
below
Step-by-step explanation:
v =4/3πr³
v= 4/3* 3.142*8³
v= 2144.94 ft
Karly buys a model car for $64. Then she spends 2 times as much on supplies to build the model car. How much does Karly spend altogether?
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Answer:
192
Step-by-step explanation:
Supplies = 2 model cost
= 2*64 = 128
Total cost = model + supplies
= 64 + 128
=192
Find the value of unknown angles.
Х
50
Answers
Answer:
[tex]x = 70^o[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To solve for x, we make use of:
[tex]x + 50^o + 60^o = 180^o[/tex] --- angles in a triangle
[tex]x + 110^o = 180^o[/tex]
Collect like terms
[tex]x = 180^o-110^o[/tex]
[tex]x = 70^o[/tex]
The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation of 16 . Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher. (a) Around what percentage of adults in the USA have stage 2 high blood pressure
Answers
Answer:
Around 0.73% of adults in the USA have stage 2 high blood pressure
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 121 and standard deviation of 16.
This means that [tex]\mu = 121, \sigma = 16[/tex]
Around what percentage of adults in the USA have stage 2 high blood pressure
The proportion is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 121}{16}[/tex]
[tex]Z = 2.44[/tex]
[tex]Z = 2.44[/tex] has a p-value of 0.9927.
1 - 0.9927 = 0.0073
0.0073*100% = 0.73%
Around 0.73% of adults in the USA have stage 2 high blood pressure
You buy a tree That is 7" high and plant it in your front yard and it grows 5 inches every year! You plant an Oak that is 11" high and grows 3 inches per year!
1. Write two equations to show the height of each tree at any given time (one equation for each tree). Define the variables that you use. Make sure you specify the units.
2. Solve the system to find out how long it takes for the trees reach the same height.
3. Interpret your answer in a complete sentence.
Answers
Problem 1
x = number of years
y = height of the tree in inches
The equation for the first tree (your teacher doesn't mention the type of it) is y = 5x+7.
The 5 represents the slope or rate of change. It tells us how fast the tree is growing per year. The 7 at the end is the y intercept, and the starting amount. Refer to y = mx+b form.
Similarly, the equation for the second tree (oak tree) is y = 3x+11 because it starts off at a y intercept of 11 inches and increases by 3 inches per year, aka the slope.
I recommend making a table of values to see how each tree grows throughout the years.
--------------------
Answer:
The two equations are
y = 5x+7
y = 3x+11
==========================================================
Problem 2
Let's use substitution to solve for x and y
y = 3x+11
5x+7 = 3x+11 .... replace y with 5x+7
5x-3x = 11-7
2x = 4
x = 4/2
x = 2
Use this x value to find y
y = 3x+11
y = 3*2+11
y = 6+11
y = 17
Or you could say
y = 5x+7
y = 5*2+7
y = 10+7
y = 17
We get the same y value either way, which helps confirm the answer.
--------------------
Answer:
(x, y) = (2, 17)
==========================================================
Problem 3
The result of the previous problem was (x, y) = (2, 17) which is a compact way of saying that x = 2 and y = 17 pair up together.
Going back to how we defined x and y, we can see that x = 2 means that 2 years have passed and y = 17 means that both trees are 17 inches tall.
Interpretation: At the 2 year mark, both trees are 17 inches tall.
Note: 17 inches = 12 in + 5 in = 1 ft + 5 in
The incenter is the center of the
circle.
A) acute
B) circumscribed
C) congruent
D) inscribed
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Answer:
it is the center of the inscribed circle
8) Solve the system of equations by substitution
y = x + 2
3x + y = 10
Answers
Answer:
(2, 4)
Step-by-step explanation:
y = x + 2
3x + y = 10
3x + (x + 2) = 10
4x + 2 = 10
4x = 8
x = 2
y = (2) + 2
y = 4
Step-by-step explanation:
3x + y = 10
substituting the value of y = x + 2
=>3x + x+2 = 10
=>4x= 10-2
=>4x= 8
=>x= 8/4
=>x= 2
And, y= 2+2 = 4
find the value of x (URGENT/GIVING BRAINLIEST)
Answers
Answer:
x=25
Step-by-step explanation:
The angles 126 and (5x+1) are equal. The equation that is used is 5x+1=126.
To solve the equation, subtract 1 from both sides
5x+1-1=5x 126-1=125.
Simplify the equation. 5x=125
Divide both sides by 5. 5x/5=x 125/5=25
You would get x=25 eventually.
.Write the equation of the line with m = –1 and Passes point (4, 5). Put your answer in Slope–Intercept Form.
Answers
y-5 = -1(x-4)
y-5 = -x+4
y= -x +4+5
y= -x+9
This is the required eqn
2. Use (<, >, =) to compare 23 and 34.
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Answer:
Step--step explanation:
2/3 = 0.67
3/4= 0.75
So 2/3 < 3/4
Answer:
Option B is correct.
Step-by-step explanation:
[tex] \frac{2}{3} = 0.6666....[/tex]
[tex] \frac{3}{4} = 0.75[/tex]
[tex]0.666... < 0.75[/tex]
[tex]∴ \frac{2}{3} < \frac{3}{4} [/tex]
Hope it is helpful...Rachael bought a snorkel and ear plugs for shallow diving. The snorkel cost $28.96, and the ear plugs cost $2.56. The sales tax of both items is 5%. How much did she pay in total?
Answers
Answer:
$33.10
Step-by-step explanation:
$28.96 + $2.56 = $31.52
$31.52 * .05 = $1.576 (round up) $1.58
$31.52 + $1.58 = $33.10
Answer:
Step-by-step explanation:
Total without sales tax
Snorkel = 28.96
Ear Plugs 2.56
Total 31.52
Sales tax = 5% of Total = 5/100 *31.52
Sales tax = 1.58 Rounded.
Total purchase = 33.10
Use the Normal model N(1112,56) for the weights of steers.
a) What weight represents the 66th percentile?
b) What weight represents the 94th percentile?
a) The weight representing the 66th percentile is pounds.
(Round to the nearest whole number as needed.)
b) The weight representing the 94th percentile is pounds.
(Round to the nearest whole number as needed.)
Answers
Answer:
See below for answers
Step-by-step explanation:
a) invNorm(0.66,1112,56) = 1153.097936 ≈ 1153 lbs
b) invNorm(0.94,1152,56) = 1199.067321 ≈ 1199 lbs
A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Answers
Answer:
2/91.
Step-by-step explanation:
There are 15 marbles in the bag.
Prob(First draw is red) = 5/15 = 1/3.
Prob(Second draw is red) = 4/14 = 2/7.
Prob(Third draw is red) = 3/13.
So probability that all 3 are red = .1/3 * 2/7 * 3/13
= 6/273
= 2/91.
The measure of the angle turns through 1 over 9 of the cicle the angle measure can be found using the expressions
Answers
Answer:
1-9 the answer is -8of the circle
Step-by-step explanation: