Answers
Answer:
The angle between the two sides of the right triangle is aproximately 31.003º.
Step-by-step explanation:
From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:
[tex]\cos \alpha = \frac{6}{7}[/tex]
[tex]\alpha = \cos^{-1} \frac{6}{7}[/tex]
[tex]\alpha \approx 31.003^{\circ}[/tex]
The angle between the two sides of the right triangle is aproximately 31.003º.
Related Questions
Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *
Answers
Answer:
V≈565.5cm³ is the answer
solve for x (pls help :,,))
Answers
Answer:
id say 4
Step-by-step explanation:
A running track has two straight sides with length 140 m and two semicircle ends with radius 70 m. It takes Kat 40 seconds to jog 160 m. How long would it take her to jog around the track 51 times? Give your answer in hours and minutes, to the nearest minute.
Answers
It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
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A bank promises to pay 5.5% pa compound interest on
deposits of £2337 if saved for 3 years. How much will the
savings be worth at the end of the period mentioned? Write
your answer correct to 2 decimal places.
Answer:
Answers
Answer:
£407.20Step-by-step explanation:
Deposit = £2337Interest = 5.5% pa compound Time = 3 yearsSavings:
2337*((1 + 5.5/100)^3 - 1) = 2337*((1.055)^3 - 1) =407.203x+2y=5
What is the y and x intercept and can i get a step by step explanation
Answers
Answer:
the slope is -3/2, and the y-intercept is 5/2.
Step-by-step explanation:
3x + 2y = 5
putting it into a y = mx+b form,
2y = -3x + 5
y = -3/2x + 5/2
the slope is -3/2, and the y-intercept is 5/2.
Answer:
y-intercept= 2.5
x- intercept= 1.666666666..... or 5/3
Step-by-step explanation:
1. Move variable to other side.
3x+2y= 5
-3x -3x
2y= -3x+5
2. Divide each side by 2.
-3/ 2 = -1.5
5/2 = 2.5
y= 1.5x+2.5
y= mx+b
b= y-intercept
b=2.5
3. Replace y with 0 to solve for x intercept.
3x+ 2 x 0 = 5
3x= 5
5/3 = x
The graph represents the amount of money Sal earns for babysitting.
Graph where the x- axis gives time in hours and runs from zero to three and beyond. The y- axis gives earnings in dollars and runs from zero to twenty four and beyond. A straight line intersects the axes at (0, 0). Its coordinates are (5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20)
Part A
What does the ordered pair (2.5, 20) represent in the situation?
A. $2.50 for 20 hours
B. $1 for 0.125 hours
C. $0.125 for 1 hour
D. $20 for 2.5 hours
Part B
Does the graph represent a proportional relationship? Explain.
A.
Yes. The line passes through the origin.
B.
Yes. The line has a variable rate of change.
C.
No. The slope is not constant.
D.
No. The line has a y-intercept greater than 0.
Part C
What is the linear equation represented by the graph?
A. y = 20x + 2.5
B. y = 2.5x + 20
C. y = 8x
D. y = 0.125x
Answers
Answer: d, a, and c
Step-by-step explanation:
Part(A)
The ordered pair (2.5, 20) represents $2.50 for 20 hours. the correct option is A.
Part(B),
Yes. the line passes through the origin. The correct option is A.
Part(C),
The linear equation represented by the graph is y = 8x. The correct option is C.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that coordinates are (0.5, 4), (1, 8), (1.5, 12), (2, 16), and (2.5, 20).
Part(A),
The ordered pair (2.5,20) represents that the earning is $20 for the work of 2.5 hours.
Part(B),
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 8 - 4 ) / ( 1 - 0.5 )
Slope = 4 / 0.5
Slope = 40 / 5
Slope = 8 hours
The y-intercept is calculated as,
y = mx + c
16 = ( 2 x 8 ) + c
c = 16 - 16
c = 0
Hence, the line passes through the origin.
Part(C),
The equation of the line will be written as,
y = mx + c
y = 8x + 0
y = 8x
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Cost of a tie: $35.50
Markup: 30%
Discount: 20%
Tax: 5%
Answers
Answer:
40.25 i believe
Step-by-step explanation:
Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.
Answers
Answer: .10d+.25q<_ 4
Step-by-step explanation:
d= dimes and q = quarters
dimes are worth .10 and quarters are worth .25
The inequality for the given situation is
0.1d + 0.251 ≤ 4
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
10 dimes = 1 dollar
1 dime = 0.1 dollar
4 quarters = 1 dollar
1 quarter = 0.25 dollar
Now,
The maximum amount is $4.
So,
0.1d + 0.251 ≤ 4
Thus,
The inequality is 0.1d + 0.251 ≤ 4.
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5. Here are the first four terms of an arithmetic sequence: 6, 10, 14, 18..
a) First the sum of first 30 terms of the sequence.
Answers
Answer:
it hard too
Step-by-step explanation:
it's hard also so
Answer: 180
an = a1 + (n - 1)d
a1 = 6 [1st term]
d = 4 [common difference]
n = 30 [30th term]
a30 = 6 + (30 - 1)*6 = 180
What is the measure of x in the diagram below?
1.) 14
2.) 118
3.) 13
Answers
Answer:
8x+14=118
-14 -14
8x=104
/8 /8
x=13
answer: 13 your welcome
Answer:
13
Step-by-step explanation: 118=8x+14 bc opposite angles are equal to one another. solve for x and you get 13. hope this helps
A camera has a listed price of $ 655.95 before tax. If the sales tax rate is 9.5%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
You need to divide the listed price by 100, and then multiply this answer by 9.5. You then add this number onto the original listed price.
Hope this helps
[tex]-4 ( x + 1/16 )[/tex]
Answers
Answer:
-4x - 1/4
Step-by-step explanation:
-4(x + 1/16)
-4x - 1/4
200 people buy plane tickets.
92 males buy tickets
30 of the males buy Business tickets
62 females buy Economy tickets
A total of 44 people buy Business tickets.
A total of 60 people buy Premium tickets.
How many males buy Premium tickets?
You must show all your working.
Answers
First, you can see that female business is 44-30=14. Then, you can see that female premium is 62+14+x=108, or x=32. So, because 32 females bought premium and there are 60 total premium, the number of male premium is 60-32=28 male premium tickets.
1,092 inches to yards
Answers
Answer:
Step-by-step explanation:
It would be 30.33 repeating.
Answer:
30.33 yards
Step-by-step explanation:
36 inches to a yard, so divide the length value in yards by 36.
1092 / 36 = 30.33 yds
(2a-3)(b-a)-3a(3a+b)
Answers
Answer: -ab - 11a^2 - 3b + 3a
Step-by-step explanation:
i think this is what you're wanting? if not just comment what you need and i'll retry it!
Which of the equations are true identities? A. n(n –2)(n + 2) = n³ – 4n B. (x + 1)² – 2x + y² = x² + y² + 1 Choose 1 answer: Only A Only B Both A and B Neither A nor B
Answers
Answer:
a+b
Step-by-step explanation:
both are true identities
(6x10^6) / (2x10^3) solve?
Answers
Answer:
3x^999000
Explantiotn
HELP FAS, worth 20 points
Answers
Answer:
1. infinite solutions.
2. no solutions.
Step-by-step explanation:
a. 8x + 7 = 8x + 7
The expressions are equal to each other; therefore, the equation has infinite solutions.
b. 10t - 6 = 10t + 6
10t = 10t + 12
0 = 12
These terms do not equal each other. 0 does not equal 12; therefore, this equation has no solutions.
20% of____ is 15 ????
Answers
Answer:
The Correct Answer is 3
Step-by-step explanation:
Which expression is equivalent to 0?
(a)(-a)
a +(-a)
a/-a
a - (-a)
Answers
Answer:
a - a or (a +(-a))
Step-by-step explanation:
A negative plus a positive is always zero if they have the same variable.
(a)(-a) equals -a
a/-a equals -a
and
a-(-a) equals positive a
Find the value of x.
64
100
XE
Answers
Answer:
i think the answer should be 16
Brianna bought snacks for her team's practice. She bought a bag of
oranges for $2.63 and a 8-pack of juice bottles. The total cost before
tax was $16.07. Write and solve an equation which can be used to
determine x, how much each bottle of juice costs?
Answers
Answer:
$1.68
Step-by-step explanation:
The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68
Hope this help :)
Plz help I don’t understand how to do this problem
Answers
Answer:
a) 6b) 3t² - 17t + 28c) 3t² - 5t - 2Step-by-step explanation:
Given function:
g(t) = 3t² - 5t + 4a) g(2)
g(2) = 3*2² - 5*2 + 4 = 3*4 - 10 + 4 = 12 - 6 = 6b) g(t - 2)
g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 = 3(t² - 4t + 4) - 5t + 10 + 4 = 3t² - 12t + 12 - 5t + 16 = 3t² - 17t + 28c) g(t) - g(2)
g(t) - g(2) = 3t² - 5t + 4 - 6 = 3t² - 5t - 2PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!
When the original price and discounted prices are known, how can we find the percent markdown?
Answers
Step-by-step explanation:
The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.
A pet store has 8 dogs, 12 cats, and 3 rabbits. The ratio 8:23 compares
Answers
Answer:
Step-by-step explanation:
the number of dogs to the number of total numbers.
8 dogs: 23 total animals.
means 8 of the 23 animals are dogs.
The ratio 8:23 represents 8 dogs out of total 23 animals.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Here, Total number of animals = 8 + 12 + 3
= 23 animals
Ratio given = 8 : 23
in which 8 represents the number of dogs and 23 represents total number of animals.
Thus, The ratio 8:23 represents 8 dogs out of total 23 animals.
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write an equation of a line parallel to the line y=-2x+8 and passes through the point (-1,-3)
Answers
Answer: y=–2x–5
Step-by-step explanation:
The equation of a straight line:
y=mx+c
m must be the same for the two lines to be parallel.
y=mx+c
y=–2x+8 → m=–2
For a new equation:
x=–1, y=–3, m=–2, c=?
y=mx+c → –3=–2×(–1)+c
–3=2+c
c=–5
So:
y=–2x–5
Identify the y-intercept of the graph of the equation.
Answers
Answer:
3
Step-by-step explanation:
the y intercept is were x=0
6358 was rounded to the nearest one.
What is the lower bound?
Answers
PLEASE HELP ME ASAP!!! I REALLY NEED HELP :(
Answers
Answer:
See below
Step-by-step explanation:
GivenR is the midpoint of SQ and PTTo proveΔPQR ≅ ΔTSRSolutionR is the midpoint of SQ
SR = 1/2SQ and RQ = 1/2SQ ⇒ SR ≅ RQR is the midpoint of PT
PR = 1/2PT and RT = 1/2PT ⇒ PR ≅ RTSQ and PT intersect at point R ⇒
∠PRQ ≅ ∠TRS as vertical anglesTriangles PQR and TSR have two sides and the included angle congruent, therefore:
ΔPQR ≅ ΔTSR,as per SAS congruence postulate
If two sides and the included angle in one triangle are congruent to two sides and the included angle in another triangle, then the two triangles are congruenta b =
PLEASE TELL NEEEE
Answers
Answer:
i am not sure if this is what u need but i hope it is.
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.
