Answers
Answer:
30.7
Step-by-step explanation:
Recall: SOH CAH TOA
We are to solve for the missing side
First, label the sides:
Reference angle (θ) = 61°
x = Opposite (this is opposite to the reference angle)
17 = Adjacent
Hypotenuse = side opposite to right angle
Apply TOA, which is:
Tan θ = Opp/Adj
Plug in the values
Tan 61° = x/17
17*Tan 61° = x
30.6688118 = x
x ≈ 30.7 (approximated to nearest tenth)
Related Questions
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
Mr Brown bought TV for a total money of 20000 including VAT of VAT is 15% then find the original price of the tv
Answers
Answer:
17,391.30
Step-by-step explanation:
original is always 100%.
if 115% = 20000
wat of 100%= ?
crossmultiply to obtain 17,391.30 as the original price.
y-4 = 6(x + 7)
What’s the y-intercept of the equation?
Please explain it to me
Answers
Please help i've been stuck on this for awhile now-
Answers
Answer:
3²
Step-by-step explanation:
The factors 3³ in the numerator and denominator cancel each other. Anything divided by itself is 1. Anything multiplied by 1 is unchanged.
[tex]\dfrac{3^3\cdot3^2}{3^3}=\dfrac{3^3}{3^3}\cdot3^2=1\cdot3^2=3^2[/tex]
_____
Additional comment
The exception is that 0 divided by itself is indeterminate.
There are 200 students in Year 11
75 of the students are girls.
Write down the fraction of the students that are girls.
Answers
Answer:
75/200
Step-by-step explanation:
You can also simplify this.
Write the equation through (2,5) parallel to the line through (8,0) and (0,8)
Answers
Answer:
y = -x + 7
Step-by-step explanation:
As we move from (8, 0) to (0, 8), we see x decreasing by 8 ('rise') and y increasing by 8 ('run'). Thus, the slope of this line is m = rise/run = 8/(-8) = -1.
Starting from y = mx + b and substituting 8 for x, 0 for y and -1 for m, we get:
0 = -1(8) + b, or b = 8
Then the equation of the line through the two given points is y = -x + 8. Any line parallel to this one has the same slope: m = -1.
Repeat the above work to find the y-intercept of the line parallel to y = -x + 8 that goes through (2, 5):
5 = -2 + b, or b = 7
Then the desired line (final answer) is y = -x + 7
Which set of coordinates satisfies the system of equations y = x − 3 and y = -2x + 1?
Answers
Answer:
C
Step-by-step explanation:
The first equation has a y-intercept of -3. Only one line does.
The second equation has a y-intercept of +1. Only one line does.
The point of intersection of those two lines is the point labeled C. That has coordinates that satisfy both equations. (The point is on both lines.)
Marcus mixing blue paint and yellow paint the ratio of 2 to 3 to make a red paint he wants to make 45 L of repaint he began to make a table tell him thing about the problem but it’s not sure what to do next marks for in a man is also mixing paint if she wants to make sure paint by mixing 2 cups of blue hey with 4 cups of prepare amendments are Peyton is left with 48 cups of purple how many more cups of red paint did she use the blue paint
Answers
Answer:
do you have any image of the question? If yes please pose here.
Answer:
See below:
Step-by-step explanation:
I'm sorry, I don't think I understand the question. Could you put periods in the sentence or maybe write out the questions on individual lines? Thanks.
Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y
a. write two equations in x and y
b. solve your equations to find to values of x and y
please tell me the answer and explain how you got it thanks
Answers
Answer:
Below in bold.
Step-by-step explanation:
Use the elimination method:
a. x + y = 23
x - y = 7
b. Adding the 2 equations eliminates y, so we have
2x = 30
x = 15.
Substitute x = 15 in equation a:
15 + y = 23
y = 23 - 15
y = 8.
Answer x = 15, y = 6.
Step-by-step explanation:
this is what you are told in the problem
x+y=23............1 (the sum)
x-y=7.................2 (the difference)
PS make sure to number your equations
in equation 1 we can take x over so that we form a new equation labelled equation 3
y=23-x...........3
sub 3 into 2
x-(23-x)=7
x-23+x=7
2x=7+23
2x=30
x=15.........4
sub 4 into 1
15+y=23
y=23-15
y=8
sara has $65 and wants to buy the following items from a store boars game 14.95 building blocks $25.49 art kit $35.79 at the store all items are one-fourth off of the original price and there is a 5% sales tax sara wants to know if she can buy whitch statement true?
Answers
Answer:] ):::::::::::
Step-by-step explanation:
Which ordered pair is a solution to the inequality 7x-3y>10
Answers
Answer:
first one
Step-by-step explanation:
Answer:
(1,-1)
Step-by-step explanation:
How is 25:5 and 10:2 equivalent
Answers
Answer: yes !!
Step-by-step explanation:
first we have to simplify
25:5 = 5:1
10:2 = 5:1
yes, they are
When two ratios are in proportion the ratios are said to be equivalent.
The ratios 25:5 and 10:2 are equivalent because they are in proportion.
What is a ratio?It is the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
We have,
25:5 and 10:2
The ratio must be in proportion to be equivalent.
25:5 = 25/5 = 5 / 1
10:2 = 10/2 = 5/1
25:5 = 10:2
25/5 = 10/2
(5x5) / 5 = (5x2) / 2
5/1 = 5/1
We see that the ratio is equivalent.
Thus,
The ratios 25:5 and 10:2 are equivalent because they are in proportion.
Learn more about ratios here:
https://brainly.com/question/2462048
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How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
The answer you are looking for is C. 2/3
Step-by-step explanation:
because if it was 4/6 reduce to make 2/3.
hope this helps! please give brainlyist :D
Answer:
2:3
Step-by-step explanation:
did it
Will give brainliest and 100 points if you answer correctly plz help!
Write the sentence below as an equation or inequality.
Craig has six less than half of the amount of dollars Bo has.
Group of answer choices
x
=
y
2
−
6
x
=
6
−
y
2
x
=
2
y
−
6
x
=
6
−
2
y
Flag question: Question 2
Question 21 pts
Write the sentence below as an equation or inequality.
To be flagged in a system you need to either score less than ten points, or greater than one hundred points.
Group of answer choices
10
<
x
<
100
10
≤
x
≤
100
10
≥
x
≥
100
10
>
x
>
100
Flag question: Question 3
Question 31 pts
Simplify:
−
5
x
3
+
6
y
2
+
8
x
3
−
6
y
Group of answer choices
3
x
3
+
6
y
2
−
6
y
−
3
x
3
+
6
y
2
−
6
y
11
x
3
+
6
y
2
−
6
y
−
11
x
3
+
6
y
2
−
6
y
Flag question: Question 4
Question 41 pts
Simplify:
3
x
5
+
4
x
2
−
8
x
5
+
3
x
2
−
8
x
Group of answer choices
5
x
5
+
7
x
2
−
8
x
−
5
x
5
+
7
x
2
−
8
x
5
x
5
−
7
x
2
−
8
x
−
11
x
5
+
7
x
2
−
8
x
Flag question: Question 5
Question 51 pts
Solve:
8
x
+
2
(
3
x
−
5
)
=
18
Group of answer choices
x = -2
x = -1
x = 1
x = 2
Flag question: Question 6
Question 61 pts
Solve:
(
4
x
+
5
)
5
=
9
Group of answer choices
x = -10
x = -5
x = 5
x =10
Flag question: Question 7
Question 71 pts
Write the inequality that represents the solution set to the given inequality below.
−
8
≥
x
−
2
≥
10
Group of answer choices
4
≤
x
≤
−
5
−
4
≤
x
≤
5
4
≥
x
≥
−
5
−
4
≥
x
≥
5
Flag question: Question 8
Question 81 pts
Write the inequality that represents the solution set to the given inequality below.
|
x
−
3
|
<
15
Group of answer choices
12
<
x
<
−
18
−
12
<
x
<
18
12
>
x
>
−
18
−
12
>
x
>
18
Flag question: Question 9
Question 91 pts
Determine if the relation below is a function.
(-3,2) ; (-3,5) ; (-3,-2) ; (-3,8)
Group of answer choices
Yes, this relation is a function.
No, this relation is not a function.
Flag question: Question 10
Question 101 pts
Determine if the relation below is a function.
(-5,1) ; (3,1) ; (5,1) ; (2,1)
Group of answer choices
Yes, this relation is a function.
No. this relation is not a function.
Answers
Answer:
Step-by-step explanation:
The answer options are too confusing to decipher. Here are my solutions:
1. Craig(x) has six less than half of the amount of dollars Bo(y) has.
x = (1/2)y - 6
Questions 2 through 8 are either missing the statement or are too difficult to interpret.
9. Not a function since there is more than one solution to x=-3.
10. Yes, the function is y = 1
Answer:
Step-by-step explanation:
this makes no sense but okay
Find the surface area of the following prism.
Answers
Answer: 350 square inches
The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)
4(9+7) + 11 (5+7+9 +5)
--> 350
Snefuru’s north pyramid at Dahshur, Egypt, is shown. It’s square base has a side length of 220 m. The height of the pyramid is 105 m. Determine it’s surface area.
The answer is 115,324 m^2, show how you got your answer please. :))
Answers
Answer: 115,324 m^2
Step-by-step explanation:
To find the surface area, we need height of the triangle face of the pyramid. We are given the height of the pyramid itself (105 m). To find the height of the triangle face, we have to use the Pythagorean theorem (a^2 + b^2 = c^2).
In the diagram attached, the height of the triangle face is the hypotenuse of the blue triangle: 110^2 + 105^2 = c^2 where c = about 152 m (ROUNDED)
Now that we have the height of the triangle face, we can use the triangle area formula: 1/2(base)(height) to find the area of one of the triangle faces.
1/2 (220)(152) = 16,720 m^2
Since there are four triangle faces, we need to multiply this number by four.
16,720(4) = 66880 m^2.
Now we just have to add this to the area of the square base which is:
(220)(220) = 48400 m^2
66880 + 48400 = 115,200 m^2 (which is very close to the answer provided - if 152 wasn't rounded, 115,324 would be your answer)
Evaluate each expression. 16^-3/2
Answers
This is correct :)
Please answer number 1 and 2.
I have to do 2 pages of homework I need this done I have school tomorrow..
Have no idea how to do this. Please help I beg you.
Answers
1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
The common difference between two consecutive terms is 3.And the given difference is A.P.2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
I think this is the last thing I need help with, but I REALLY need this done to raise my grade!!! I'll mark brainliest!!
Answers
Answer:
Step-by-step explanation: there you go
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.
Answers
Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10
What’s the Pythagorean therorimm
Answers
Answer:
38.29 i think
Step-by-step explanation:
For your problem you would do 29-7 as we are trying to find X. So we need to create a right triangle in order to do this.
Now we have two out of the three sides, 25 and 22.
25^2= 625
22^2= 484
Now add them 625+484=1109
Now find the square root of 1109
33.301651 (round to whatever decimal point as needed)
Which graph shows the solution to the system of linear inequalities?
y ≥ 2x + 1
y ≤ 2x – 2
Answers
Answer:
See belowStep-by-step explanation:
Given system:
y ≥ 2x + 1 y ≤ 2x – 2The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
From the given inequalities we have boundaries (0, -1) and (0, 2). Therefore, option B is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given system of inequalities are y ≥ 2x + 1 and y ≤ 2x – 2.
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
Therefore, option B is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
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Simplify this expression
4X^2y^3 x 2x^3y^4
Answers
Answer:
8^5^7
Step-by-step explanation:
Multiply the numbers:
4X^2 y^3 x 2x^3 y^4
8^2 ^3 ^3 ^4
Combine Exponents:
8^2 ^3 ^3 ^4
8^5 ^3 ^4
8^5 ^3 ^4
8^5 ^7
wich is greater 45%, 1/2, 0.55
Answers
Answer:
0.55
Step-by-step explanation:
45/100 = 0.45
1/2 = 0.50
Answer:
0.55 is the biggest
Step-by-step explanation:
45% can be converted to 0.45
1/2 is the same as 50%, so in decimal form, it is 0.50 (although no matter how many 0s you put at the end, it will still be the same, so this could effectively be 0.5.)
0.55 is already done for you, so there is nothing to do here.
Therefore, the biggest is 0.55
Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year.
How much money did Anthony receive for his birthday last year?
Answers
Answer
320
Step-by-step explanation
150 + 10 = 160
160 * 2 because it said than half the amount he received last year = 320!
Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the bottom can has a diameter of 6 inches.
please help me
Answers
Answer:
B and E are the only correct answers.
Step-by-step explanation:
The top can's diameter is 2 inches, so the radius is 1. First find the area of the circular end, pi * r^2, 3.14 * 1^2 = 3.14
Then multiply by the height 3.14 * 5 = 15.7 cubic inches
The middle can's diameter is 5 inches so the radius is 2.5.
3.14 * 2.5^2 = 3.14 x 6.25 = 19.625
Multiply by the height 19.625 * 3 = 58.875 cubic inches
The bottom can's diameter is 6 inches, so the radius is 3. 3.14 * 9 = 28.26
Multiply by the height 28.26 * 2 = 56.52 cubic inches
15.7 + 58.875 + 56.52 = 131.095
B and E are the only correct answers.
How much material do you need to make two back pockets?
Answers
An airport parking lot has 2,800 spaces. if each row has 25 spaces, how many rows are there?
Answers
2800/25 spaces = 112 rows
7
Which of the following representions are functions?
2
I. {(0,9), (3, 12), (-5, 10), (5, 10)}
II. y = x2 + 10
Х
10
-1
10
8
-2
III.
y
5
8
-5
-9
-4
O Tonly
+
O II only
o I and II only
O I, II, and III
Answers
Answer:
1,11,111 I don't know how I know it I just know it
If 3 cans of beans cost 90¢, how many can you buy for $2.70?
If you can buy 10 juice packs for
$3.00, how much will you spend to
buy 4 juice packs?
