Answer:
11.1 feet
Step-by-step explanation:
When you are given a right triangle with a given angle and side, you can use
trigonometric functions to calculate missing side lengths or inverse functions for angles based on this information.
These ratios can be remembered by the mnemonic:
SOH CAH TOA.
S O H → Sin (Sine) = Opposite / Hypotenuse
C A H → Cos (Cosine) = Adjacent / Hypotenuse
T O A → Tan (Tangent) = Opposite / Adjacent
______________________________________
The Opposite side is the side directly across from the angle, The adjacent (next to) side is the side other than the hypotenuse or opposite side, and the hypotenuse is the longest side.
Given that we are trying to find the adjacent side, we must use the cos (cosine) function because that can be multiplied by the hypotenuse to give us the adjacent side we are looking for.
Therefore, 36 [Hypotenuse Side] × cos(72°) = Adjacent Side.
Because: 36 = Hypotenuse Side.
cos(72)° = Adjacent Side / Hypotenuse Side.
36 × cos(72°) =
36 × 0.309016994374... = 11.12461179749... ≈ 11.1
Enter your gross pay, taxes, and deductions
below. Press calculate when you're ready.
I need help please!!
Answer:
Gross pay: $1560
Tax: $294.37
Deductions: $0
It shows the grows pay at the top right, where it says "Gross Pay".It shows the tax taken near the bottom under the "tax" section.There are no deductions in this example, but it would be shown to the right of the "tax" section.The amount of required net pay is $1265.63.
What is net pay?
Too known as “net wages” or “net income,” net pay is the sum that remains after subtracting government wage assess, Medicare and Social Security charges, state and neighborhood wage charges, wellbeing and dental protections premiums, retirement commitments, commitments to adaptable investing accounts and other commitments from the individual’s net salary. The remaining cash, or net pay, are utilized by an representative to pay common living costs, counting lodging, nourishment and optional things.
Given that,
Gross pay = $1560
total taxes = $294.37
Therefore,
Net pay = gross pay - tax deductions
Hence,
Net pay = $1560 - $294.37
= $1265.63
Hence, Net pay is $1265.63.
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Solve for x ????????????
Answer:
x = 8°
Step-by-step explanation:
since the angles are vertical angles, they are equal
3 + 14x = 115
14x = 112
x = 8
A $60 video game is on sale for 30% off! How much money will you SAVE ?
Answer:
YOu will save 18 $
Step-by-step explanation:
Answer:
The game would be 42 dollars
Step-by-step explanation:
help pls i need to knowewwwww
Answer:
radius is 6
diameter is 12
Step-by-step explanation:
to find radius you divide the diameter by 2
Graph the equation.
y= - 2x + 4
a point on the y-axis at positive 4
for the rest of the points go right 1 down 2
and left 1 up 2
!!HELP + BRAINIEST!!
find 0. round to the nearest degree. 15 4
Answer:
68.2
Step-by-step explanation:
You can use a^2+b^2=c^2 to find the length of the missing side, where c^2 is the hypotenuse (side 14).
5^2+x^2=14^2
25+x^2=196
x^2=196-25=171
x=13.0 (rounded)
Next, use one of sin or tan to find the missing angle.
Sin0=opposite/hypotenuse
Sin0=13/14
0=sin^-1(13/14)
0=68.213 (rounded)
The value of the angle asked is 69°.
Given is a right triangle, with base = 5 units and the hypotenuse is 14 units,
We need to find the angle θ which is between the base and the hypotenuse,
To find the angle θ between the base and the hypotenuse of a right triangle, we can use the trigonometric function cosine (cos).
The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.
In this case, the base of the triangle is the adjacent side, and the hypotenuse is given as 14 units.
Therefore, we can use the following formula:
cos(θ) = adjacent/hypotenuse
Plugging in the values we know:
cos(θ) = 5/14
To find the angle θ, we need to take the inverse cosine (arccos) of both sides:
θ = arccos(5/14)
θ = 69°
Hence the value of the angle asked is 69°.
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You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar. You use 16 cups of flour. How much sugar do you need?
Answer:
9
Step-by-step explanation:
Tell me if you want me to explain in the comments
There are 12 cups of sugar.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
You have a recipe that indicates to use 4 parts of flour for every 3 parts of sugar.
Now,
Let the number of cups of sugar for 16 cups of flour = x
So, By definition of proportion we get;
⇒ 4 / 3 = 16 / x
Solve for x as;
⇒ 16 / x = 4 / 3
⇒ 16 × 3 / 4 = x
⇒ 4 × 3 = x
⇒ x = 12
Thus, There are 12 cups of sugar.
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find the third quartile from the given data: 50,40,55,60,61,70,49
Step-by-step explanation:
Q3= [3(N+1)/4]th item
= [3(7+1)/4] th item
= 3×8/4 th item
= 6th items
= 61
please help solve this
I need help asappp!!!!
Answer:
C. 3/5
Step-by-step explanation:
Rise / Run
 Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
Definetly Not
Step-by-step explanation:
The three angles of those 2 triangles are not equivalent, which makes them in congruent.
I run a business. It costs £54,000 a year. Most of the money goes on paying wages. The ratio of wages to other costs is 2 : 1. How much do I spend on wages every year?
Answer:
2 × 54,000 ÷ (1+2)
£36,000
Step-by-step explanation:
Total cost of the business = £54,000
wages : other costs = 2 : 1
Total ratio = 2 + 1 = 3
How much do I spend on wages every year?
Amount spent on wages yearly = ratio of wages / total ratio × Total cost of the business
= 2 × 54,000 ÷ (1+2)
= 2/3 × £54,000
= £108,000/3
= £36,000
Amount spent on wages yearly = £36,000
what is the initial amount of the function f(x)=3x+22
Answer:
x=-22/3
Step-by-step explanation:
Click on the phrase (s) that describe a nonlinear function.Kathy is planning to move to a different state next month. She finds out that the truck rental cost $50 plus $1 per mile she travels.The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box. Lastly, she calculates the cost of staying 3 nights at a hotel if it cost $105 per night during the trip.
Answer:
The rental company also provides 4 different sizes of moving boxes for purchase.The volume of each box doubles in size from the volume of the next smallest box
Step-by-step explanation:
Linear functions those relation which produces a straight line graph while non - linear functios produces curves or other shapes asides a straight line. Non linear functios could be quadratic, Exponential or so on in nature.
Equation of a linear equation include :
y = a + bx OR
y = bx
First expression :
y = $50 + x ;
slope, b = 1 ; intercept, a = 50
Third expression :
y(x) = 105x
Second expression:
V(x) = V0 * e^2x
Second expression is exponential while the first and third is linear.
(PLS HELP ) Find the product of
(−3y+1)(4y2−y−7).
Answer: -12y²+7y²+20y-7
Step-by-step explanation:
Here, we need to use the concept of the FOIL method
First Outer Inner Last----------------------------------------------------------
Given
(-3y+1)(4y²-y-7)
Expand Parenthesis using FOIL
-12y³+3y²+21y+4y²-y-7
Put like terms together
-12y³+(3y²+4y²)+(21y-y)-7
Combine like terms together
-12y²+7y²+20y-7
Hope this helps!! :)
Please let me know if you have any questions
Which figure is a translation of figure 1?
Answer:
triangle 4.
Step-by-step explanation:
A translation only moves vertically or (and) horizontally our image.
This means that a translation does not change the size
A translation does not rotate the image.
Then a translation of triangle 1 needs to have the same size than triangle 1, and the same "direction" (in triangle 1 we can see that the hypotenuse is at the right side, then in the translated triangle we also should have the hypotenuse at the right side).
Then the only option that seems correct is triangle 4
Answer: Which figure is a translation of figure 1? figure 4
Step-by-step explanation: correct on edge 2021
Please answer the question provided in the image:
Answer:
D
Step-by-step explanation:
2x4=8/3 = 2 2/3
2x4 =8 8 divided by 3 = 2.2 = 2 2/3
2 x 4 =8 1/3 x 8 = 8/3 = 2 2/3
2 x 1/3 =2/3 4 x 1/3 =4/3 2/3+4/3= 6/3 = 2
HELP PLEASE
What is the volume of the prism? _____ in.3.
Answer:
V= 18 in^3
Step-by-step explanation:
Volume = length x width x height
V = 2 x 2 and 1/4 x 4
V = 8 x 2 and 1/4
V = 32/4 x 9/4
V = 18 in^3
Answer:
18in^3
Step-by-step explanation:
2in x2 1/4 in x4 in=
2x9/4x4=18in^3
PLS HELP ME!!!! I WILL GIVE BRAINLIEST!!!!
How cold you find the combined area of all faces of a three dimensional shape? Give an example of why that would be a good measurement to know.
Answer:
Step-by-step explanation:
Width, Length, and Height being combine it by multiplying.
For a regular prism (where all the sides are the same) calculate the area of one of the sides and multiply by the total number of sides. For irregular prisms (with different sides) calculate the area of each side. Add your two answers together (ends × sides) to find the total surface area of the prism.
PLZ HURRY WHAT IS 1+1
Answer:
2
Step-by-step explanation:
Answer:
2 is your answer!
Hope it helps!!!
The students in Elizabeth's grade voted to select a guest speaker. 27 students voted for a
famous athlete. If there are 45 students in Elizabeth's grade, what percentage of the students
voted for the athlete?
Write your answer using a percent sign (%).
Answer:
60%
Step-by-step explanation:
I made it a fraction. multiplied by 2.22222 (45×2.22222=100) and in the numerator I got 60
What is the simple interest earned on $2500.00 that earns 3.5% interest for 24 months?
Answer:
[tex]simple \: interest = si \\ si = \frac{p \times t \times r}{100} \\ = \frac{2500 \times 3.5 \times 1}{100} \\ = 87.5[/tex]
The table shows information about the type and number of sandwiches ordered by 80 customers. If 120 customers order a sandwich, how many would you expect to order a club?
Answer:
54
Step-by-step explanation:
80 Customers divide that by 2 =40
36÷2= 18
So if 120 Customers were to order then you would just add 18 to 36 and that would make it 54.
Basically just find how many clubs are bought in 40 customers then multiple it by 3
Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256? With explanation pls
Answer: 64 25% of 256 is 64
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
If Anna has 256, and Carmen has 75percent less, then you need to find 25percent. Which would be 64
It costs $10.99 per month for an online video streaming service. Jackie watched 28 videos in one month. What was the price per video? Round to the nearest hundredth.
Answer:
$0.39 per video
10.99÷28= 0.39
0.39×28=10.99
Can someone please help me with math, I really need help.
Answer:
1: 3 dimes & 8 nickles
2: 17 & 8
3: can't do 3, i'm sorry but you have to do it
4: y = 2x+2 y = -1/3x + 6
5: no bc the only part of the system that that point is on is the first equation, 2x-y=1.
have a nice day :)
Find the Circumference
(I need to know how to show the work too)
Your parents purchased a used car for your 17th birthday, for $12,000. The car
depreciates in value by 14% each year. How much will your car be worth in 6 years?
Answer:
1,920 because when you figure out the percent of 1200 then you multiply it by 6 then subtract by 12000
Emily has 4 gallons of water. Ryan has 12 quarts of water. How many more cups of water does Emily have than Ryan?
Answer:
16
Step-by-step explanation:
12 quats into cups = 48 cups
4 gallons into cups = 64 cups
64-48= 16 cups more than Ryan
Joseph, Maria and Rebecca each win a prize.
Their total prize money is $30.
Joseph wins 7/12 of the $30.
Maria wins 30% of the $30.
Rebecca wins the rest of the $30.
Calculate the amount each receives.
Answer:
Joseph: $ 17.5 ; Maria: $ 9 ; Rebecca: $ 3.5Step-by-step explanation:
Joseph: [tex]\frac7{12}\cdot30=\frac72\cdot5=\frac{35}2=\$\,17.5[/tex]
Maria: [tex]30\%\cdot30=0.3\cdot30=\$\,9[/tex]
Rebecca: 30 - 17.5 - 9 = $ 3.5