Answers
Answer:
9) 5.8
10) 27.9
11) 37.1
12) 16.8
Step-by-step explanation:
For this you need to know SOH (sine = opposite/adj) CAH (cos = adj/hypo) and TOA (tan = opp/adj).
For 9, you have one side 15 and one angle 21 degrees. We can see that relative to the 21 degrees the side lengths, x and 15, are the Opposite and the Adjacent. So we label them "x=O" and "15=A". This means we have Tangent(21) = Opposite "x" /Adjacent "15"
We then evaluate tan21=x/15.
1) To get rid of the fraction multiply 15 on both sides to get 15*tan21=x.
2) Use a calculator to get the answer 5.8 (5.7579..)
For 10, it is the same process but with cosine. You have one side 19 and one angle 47 degrees. We can see that relative to the 21 degrees the side lengths, x and 19, are the Hypotenuse and the Adjacent. So we label them "x=H" and "19=A". This means we have Cosine(47) = Adjacent "19" / Hypotenuse "x"
We then evaluate cos47=19/x.
1) To get rid of the fraction multiply x on both sides to get x*cos47=19.
2) Divide by cos47 on both sides to isolate x. This will be x=47/cos21
3) Use a calculator to get the answer 27.9 (27.8593...)
For 11, refer to how I did question 9 on how it's tan68 = 15/x.
Then refer to question 10 on what to do if x is the denominator (isolate the x).
You should end up with x=15/tan68 which is 37.1 (37.1263...)
Finally for 12, it's the same but for sine (sin=opp/hyp).
You should get that the opp=15 and hypo=x.
That means sin63=15/x which is then x=15/sin63
Answer is 16.8 (16.834...)
Related Questions
Given that x = 7.3 m and θ = 40°, work out AB rounded to 3 SF.
Answers
Answer:
AB ≈ 4.69
Step-by-step explanation:
using the sine ratio in the right triangle
sinΘ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{AB}{x}[/tex] , then
sin40° = [tex]\frac{AB}{7.3}[/tex] ( multiply both sides by 7.3 )
7.3 × sin40° = AB , then
AB ≈ 4.69 ( to 3 sf )
Aaron travels 3 miles per hour in still water on his kayak. The expression 12 3 + x can be used to find the time it takes for him to travel with the current. If x represents the rate of the current, what does the denominator represent? A. the rate Aaron travels against the current B. the rate of the current C. the total distance Aaron kayaks D. the rate Aaron travels with the current
Answers
Answer:
A. The rate Aaron travels with the current
Step-by-step explanation:
Distance travelled = 3 mph in still water(downstream)
Time it takes for him to travel with the current = 12 / (3+x)
Where,
x = rate of the current
Denominator, 3 + x = The rate Aaron travels with the current
Therefore, the correct answer is
A. The rate Aaron travels with the current
What Can't Walk, But Can Run?
Answers
Answer:
All vehicles, cycles, motorcycles, scooters, cars, bus, trucks, trains, etc. can run but can't walk. Aeroplanes can run and fly but can't walk.
Step-by-step explanation:
Answer:
your mouth, or a river
Step-by-step explanation:
Suppose you have a bag with 25 letter tiles in it and 7 of the tiles are the letter Y. If you
7
pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose another
baa has 200 letter tiles in it and 168 of the tiles are the letter Y. Write the probability of Dickina a tile
25
Answers
write the equation of the line that is perpendicular to the graph of y= - 4×- 9,and whose y-intercept is 3
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Straight lines.
equation of the line perpendicular to the given line is
[tex]y = \frac{1}{4} x + 3[/tex]
What is the quotient of StartFraction 2 Superscript 4 Baseline Over 2 Superscript negative 4 Baseline EndFraction? StartFraction 1 Over 256 EndFraction One-half 1 256.
Answers
Answer:
256
Step-by-step explanation:
The quotient of the given expression will be 256.
What will be the quotient?From the given data
[tex]=\dfrac{2^{4} }{2^{-4} }[/tex]
Now it will become
[tex]2^{4} \times 2^{4} = 2^{8} =256[/tex]
Thus the quotient of the given expression will be 256
To know more about Start and End fraction follow
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PLEASE HELP ME!!!!!!!!!!!
Use an area model to multiply (4x+3)(2x+5)
Fill in the blanks with the correct numbers.
Answers
2nd box is 26
3rd box is 15
What's the value of x? (Hint: it's not 7) and please explain
Answers
Hey there!
4x + 7 + 35 = 90°
4x + 42 = 90°
SUBTRACT 42 to BOTH SIDES
4x + 42 - 42 = 90 - 42
CANCEL out: 42 - 42 because it give you 0.
KEEP: 90 - 42 because it help solve for the x-value.
NEW EQUATION: 4x = 90 - 42
SIMPLIFY IT!
4x = 48°
DIVIDE 4 to BOTH SIDES
4x/4 = 48/4
CANCEL out: 4/4 because it give you 1
KEEP: 48/4 because it give you the x-value
NEW EQUATION: x = 48/4
SIMPLIFY IT!
x = 12
Therefore, your answer is: x = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
some help please ???????????
Answers
PLS I NEEDDD HELP PLS I CAN GIVE BRAINLIEST
Answers
Answer: 28 degrees.
Step-by-step explanation:
See the attached image. 1.2.3 is just seperate angles to help see more details.
Answer:
28°
Step-by-step explanation:
[tex]m\angle UVI +m\angle IVW =m\angle UVW[/tex]
(By angle sum postulate)
[tex]\implies (3x+7)\degree +(12x+6)\degree =118\degree[/tex]
[tex]\implies (15x+13)\degree =118\degree[/tex]
[tex]\implies 15x+13 =118[/tex]
[tex]\implies 15x =118-13[/tex]
[tex]\implies 15x =105[/tex]
[tex]\implies x =\frac{105}{15}[/tex]
[tex]\implies x =7[/tex]
[tex]m\angle UVI =(3x+7)\degree[/tex]
[tex]\implies m\angle UVI =(3*7+7)\degree[/tex]
[tex]\implies m\angle UVI =28\degree[/tex]
Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balance of $2,200. Using the formula I = P r t, how many years was his money invested? 2. 75 years 10 years 15 years 27. 5 years.
Answers
There are 15 years was his money invested.
What is simple interset?Simple Interest is an easy method of calculating the interest for a loan/principal amount.
Given
Frank invests $1,000 in simple interest investment account that pays 8% a year.
After a number of years, he withdraws his balance of $2,200.
The number of years was his money inversted is;
[tex]\rm I= P\times r \times t[/tex]
Where p is the principal amount, r is the rate of interest, I is the amount and t is the time.
Substitute all the values in the formula;
[tex]\rm I= P\times r \times t\\\\2200-1000= 1000 \times .08 \times t\\\\1200 = 80t\\\\t = \dfrac{1200}{80}\\\\t=15[/tex]
Hence, in the 15 years was his money invested.
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Select all of the following that are examples of the Distributive Property? (A) 3(x + 4) = 3x + 12 (B) 2(4 + 8) = 24 + 28 (C) x(5 + 5) = 5x (D) 7(1 + 9) = 7 + 9 (E) 6(2 + 1 + 5) = 12 + 6 + 30 (F) 7(5 - 4) = 35 - 28
Answers
Answer:
[tex]3(x + 4) = 3x + 12\:\boxed{\tt Yes}[/tex]
[tex](4 + 8) = 24 + 28\:\boxed{\tt No}[/tex]
[tex]x(5 + 5) = 5x\:\boxed{\tt Yes}[/tex]
[tex]7(1 + 9) = 7 + 9\:\boxed{\tt No}[/tex]
[tex]6(2 + 1 + 5) = 12 + 6 + 30\:\boxed{\tt No}[/tex]
[tex]7(5 - 4) = 35 - 28\:\boxed{\tt No}[/tex]
~
PLEASE I NEED HELP WITH THIS!!!! Domain! I WILL MARK U AS THE BEST!
1. What is the domain of the graph linear function?
A- x > 1
B- x >= 1
C- x > -1
Answers
Answer:
c
Step-by-step explanation:
big brain and the world is not
any body know how to do this
Answers
Answer:
p=3/8
Step-by-step explanation:
We know that 1/4=4/8
We can subtract 4/8 from 7/8 to get 3/8
3/8
The graph shows the number of items sold by category at a yard sale.
Items Sold
28
24
Frequency
20-
16
12
8
4
0
Toys
Books
Décor
Clothing Electronics
Categories
What was the total number of items sold at the yard sale?
A. 60
B. 62
O c. 64
D. 66
Answers
5(X+3) and 5x+15
A: Yes, they are equivalent
B: No, they're not equivalent
Answers
Answer:
yes, they are equivalent
Step-by-step explanation:
5(x+3)... distribute the 5.... 5x +15
Answer:
yes they are equivalent
Step-by-step explanation:
5(x+3)=5x+15
you distribute the 5 to x and 3
5x+15=5x+15
the volume of a cube depends on the length of its sides. The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(4) = 64?
Answer options in the picture.
Answers
Answer:
B. A cube with side lengths of 4ft has a volume of 64 cubic feet.
Step-by-step explanation:
The best interpretation of the function is that a cube with a side length of 4ft has a volume of 64ft³;
Function;
v(s) = s³
s is the side of the cube;
Now, if we input 4, the cube is 64
A function simply relates a set to another one.
So, answer choice B is the right one
The sum of the squares of two different numbers is less than or equal to 49. Twice one of the numbers squared is
less than the other number. Which system of inequalities represents these criteria?
x2 + y2 = 49 and 2x2
x2 + y2 2 49 and 2x2 < y
x2 + y2 s 49 and x2 < 2y
x2 + y2 = 49 and x2 < 2y
Answers
Answer:
x^2 + y^2 <= 49 and 2x^2 < y (first one)
Step-by-step explanation:
you play a game on your phone. For every correct move you make, you receive 40 points. For every second that it takes you to complete you loss 4 points. It takes you 1 minute and 33 second. how many points do you have?
Answers
WILL GIVE BRAINLIEST IF CORRECT!!!!
Owen is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the box. What is the surface area of the box, in square meters, that Owen decorates?
Answers
plz telll me i chose c right or o?
Answers
Answer:
Yes, C is the answer
Step-by-step explanation:
Answer:
I think c is the answer
I solved the equation 40/100×127
In AABC, a = 230 cm, b = 310 cm and C=22°. Find the area of AABC, to the nearest
square centimeter.
Answers
Answer:
45 cm
i took the test
Matthew is given a $25 music gift card for his birthday. He downloads one song and the value of the card is $23.50. After two downloads, its value is $22. Write a formula to represent the remaining value on the card as an arithmetic sequence. What is the value of the card after 10 downloads? The value of the card after 10 downloads is
Answers
The formula to represent the remaining value of the card is aₙ = 26.5 - 1.5n
The value of the card after ten downloads is $10
Arithmetic formulaaₙ = a + (n - 1)d
where
a = first term
d = common difference
n = number of terms
Therefore,
a = 25
d = 23.5 - 25 = - 1.5
Therefore,
aₙ = 25 + (n - 1)(-1.5)
aₙ = 25 - 1.5n + 1.5
aₙ = 26.5 - 1.5n
After ten download the value of the card will be as follows,
26.5 - 1.5(11) = 26.5 - 16.5 = $10
learn more on arithmetic sequence here: https://brainly.com/question/768453
what is A U B, if A={0,2,3,4,9,11}and B = {2,3,6,8,9,10}? A.{0,4 11 } B.{2,3,6,9} C.{1} D.{1,2} what is the answer
Answers
Answer:
Outside the circle we place the other numbers 0, 2, 4, 6, 8 and 10 that are in E but not in A.
Step-by-step explanation:
14x7= ?
Base ten block
Answers
Answer:98
Step-by-step explanation:
Answer:
14x7= 98
Step-by-step explanation:
for multiplication, think about if there are 9, 10 base blocks and 8, 1 base block
is it d? or am i wrong?
Answers
Answer:
thee correct answer is c not d
Step-by-step explanation:
5b - 5 - 126 - 7
I need steps please and thank you
Answers
Answer:
5b - 138
Step-by-step explanation:
Alright let's break it down.
First, you can see that each constant (5,126,7) have negatives in front of them. SO you are going to subtract each one of them.
When subtracting negatives it's basically just adding them together. How to do it is simply adding:
5 + 126 + 7
Then you get 138.
BUT, it was negative numbers. So it's actually -138.
Then bring back the 5b and your answer is:
5b - 138
Mark brainliest if you can :D
Re-write the standard form equations provided in slope-intercept form:
3. 8x + 2y = 12
Answers
A certain health insurance plan costs $3000 per year for a family of six. If each member of the family has $750 in medical expenses in a year, and the plan pays 100 percent of those expenses, how much will the family save by purchasing the plan?
Answers
Answer:$1,500
Step-by-step explanation:
6 * 750 = 4,500
4,500- 3,000= 1,500
Use the drop-down menus to complete the statements to match the information shown
by the graph.
Answers
Answer:
Dont know what the drop down options are
Step-by-step explanation:
however, i would say gold costs less then platinum because the line for gold is less then that of platinum
Im pretty sure for the second part the graph shows the unit rate in Dollars
Answer:
its the answer in the photo it is correct on ttm