Answers
Answer:
The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]
Step-by-step explanation:
Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Then, for our case we get a starting equation that reads:
[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]
and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:
[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]
Related Questions
HELP! URGENT PLEASE!
Answers
Answer: -7
Step-by-step explanation:
-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3
Can I get the awnser to this?
Answers
Answer: 17.8 yds
Step-by-step explanation:
The length of the arc of the ENTIRE circle is the circumference (C = 2πr).
We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.
The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]
Given r = 17, θ = 60°
[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]
A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters
Answers
Answer:
450
Step-by-step explanation:
Since we are estimating, we can round 596 to 600, and 77 to 75
So, we need to find 75%, or 3/4 of 600
600 * 3/4 = 150 * 3 = 450
Answer:
450 meters
Step-by-step explanation:
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answers
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
How do the surface area and volume of a sphere differ in the label of the answer? a. The volume of a sphere is expressed in square units and the surface area of a sphere is expressed in cubic units. c. The volume and surface area of a sphere are both expressed in cubic units. b. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units. d. The surface area of a sphere cannot be determined because a sphere is a round shape. Please select the best answer from the choices provided
Answers
Answer:
B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.
Step-by-step explanation:
Can I please get help with this?
Answers
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left
Answers
Answer:
7/10 or 0.7 or 70% left.
Step-by-step explanation:
Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.
Answer: 21/30
Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3
6+3=9
30-9=21
Therefore Simon has 21/30 cakes left
I hope it helps
Can somebody help me with this ?? :)
Answers
Answer:
A.
Step-by-step explanation:
We have AC = DF, ∠A =∠D, so
we need AB = DE.
We get SAS congruence.
What is a regular Polygon? Name all the types of polygon.(HELP ASAP)
Answers
Answer:
A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...
Find the equation of the line. Use exact numbers. y=___x+___
Answers
Answer: y = -3/2x + 3
Step-by-step explanation:
The slope is -3/2 (down 3, right 2)
The slope goes before x in graph functions so it’s -3/2x
The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.
y = -3/2x + 3
Find square root of the following numbers by long division method
1).2025
Answers
Answer:
Hope this helps. Good luck
Step-by-step explanation:
Need answer ASAP TY.............................
Answers
Answer:
sin(g) = x/z
Step-by-step explanation:
Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z
Adult tickets to a concert sold at $8, while student tickets cost $5.
If 70 tickets were sold for a total of $440, how many adult tickets were sold?
40 tickets
30 tickets
55 tickets
15 tickets
Answers
Step by step:
When you multiply 30x8 you get 240. You multiply by 8 because that is how much one adult ticket costs. And they tell you that they sold a total of 70 tickets, which means to find the number of children tickets that were sold would be 70-30=40. Then to prove that for sure, multiply...
40x5=200. You multiply by 5 because that is how much one children ticket costs.
Then when you add the totals of the adult tickets sold and the children tickets sold, you get $440, which means that 30 adult tickets were sold!!
You can use this same process for problems like these or to verify the answer!
Please give me brainliest!
Hope this helped!
The number of adult tickets sold was 30 tickets
The first step is to write out the parameters given in the question;
Adult ticket sold at the concert is at the price of $8
Student tickets sold cost $5
A total of 70 tickets were sold at $440
Therefore the number of adult tickets sold can be calculated as follows;
= 8(5)
= 40
70-40
= 30
Hence the number of adult tickets sold is 30 tickets
Link; https://brainly.com/question/16973073
Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answers
Answer:B
Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero
Answer: I believe it’s B
Step-by-step explanation:
find the sum 12x^2+3x+6
Answers
Answer:
[tex]3(8x ^{2} + x + 2)[/tex]
factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots
Answer:
This cannot be simplified any further.
Step-by-step explanation:
Mr. Mole left his burrow and started digging his way down.
A represents Mr. Mole's altitude relative to the ground (in meters) after t minutes.
A= -2.3t – 7
How fast did Mr. Mole descend?
Answers
Answer:
He's descending at a pace of 2.3 meters per minute.
Step-by-step explanation:
This is because the equation shows us the slope or the speed he's going at.
A= -2.3t - 7
A= Altitude
-2.3 = Slope
- 7 is his starting altitude in meters
But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.
And you graph it to see the progression in slope.
y = 2 is a polynomial function.
True or false
Answers
Answer:
false
Step-by-step explanation:
What is the equation of the line, in slope-intercept form, that passes through (3,-1) and (-1, 5)?
2 x + 3 y - 7 = 0
2 y=-3x+7
ASAP PLEASE
Answers
Answer:
[tex]2y = -3x+7[/tex]
Step-by-step explanation:
The coordinates are (3,-1) and (-1,5)
Finding the slope :
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{5+1}{-1-3}[/tex]
Slope = [tex]\frac{6}{-4}[/tex]
Slope = [tex]-\frac{3}{2}[/tex]
Now Finding y-intercept.
For this, we'll take any point
Let it be (3,-1)
So,
Point = (x,y) = (3,-1)
=> x = 3, y = -1
Putting in slope intercept form to get b
=> [tex]y = mx+b[/tex]
=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b
=> b = -1 + [tex]\frac{9}{2}[/tex]
=> b = [tex]\frac{7}{2}[/tex]
Putting m and b in the slope intercept form to get the required equation of line
=> [tex]y = mx+b[/tex]
=> [tex]y = \frac{-3x+7}{2}[/tex]
=> [tex]2y = -3x+7[/tex]
please answer all 3 percentages questions below
Answers
Answer:
a). 16% of £50
= 16/100 ×50
= 8
= £8
b). 44% of 781g
= 44/100 × 781
= 343.64
= 343.64g
c). 92% of 1050km
= 92/100 × 1050
= 996
= 996km
Hope this helps.
so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate
Answers
Answer:
see below
Step-by-step explanation:
90/7 ÷ 1 3/4
Change to an improper fraction
90/7 ÷ (4*1+3)/4
90/7 ÷7/4
Copy dot flip
90/7 * 4/7
360 /49
The exact answer is 7 17/49
To estimate I would round 49 to 50 and 360 to 350
350/50 is approximately 7 and since I rounded the numerator down and the denominator up, the answer would be a little higher
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .
Answers
Complete Question:
Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:
a) Find an expression for the revenue per hour as a function of x, R(x)
b) Find and simplify, R(x(t))
Answer:
a) R(x) = 2x
b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]
Step-by-step explanation:
a) This is a very trivial exercise.
[tex]x(t) = -4t^2 + 20t + 60[/tex]
The number of hot dogs sold per hour is given by x
Charge per hot dog = $2
An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x
b) [tex]x(t) = -4t^2 + 20t + 60[/tex]
R(x(t)) = 2(x(t))
[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]
Look at this information.
[tex]x \leqslant 0[/tex]
1)Give an example of what the value of x could be.
2) Give a different example of what the value of x could be.
Answers
Answer:
1) 0
2) -1
Step-by-step explanation:
x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on
Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20
Answers
Answer:
8.12.15
Step-by-step explanation:
mark brainliest plz
Can someone help me im kinda dumb :/
Answers
Answer:
9. a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. aₙ = 2 (-3)ⁿ⁻¹
Step-by-step explanation:
9. aₙ = 13 (-2)ⁿ⁻¹
This is a geometric sequence where the first term is 13 and the common ratio is -2.
So the recursive formula is:
a₁ = 13, aₙ = aₙ₋₁ × (-2)
10. a₁ = 2, aₙ = aₙ₋₁ × (-3)
This is a geometric sequence where the first term is 2 and the common ratio is -3.
So the explicit formula is:
aₙ = 2 (-3)ⁿ⁻¹
Given that R = 8 x + 4 y Find y when x = 8 and R = 30 Give your answer as an improper fraction in its simplest form.
Answers
Answer:
25/8
Step-by-step explanation:
Given That:
R = 8x+4y
X= 8
R = 30.
So, 8 x 8 +4y = 30
Simplify, Rearrange and solve.
64 + 4y = 30
4y = 30/64 = 15/32
y = 15/32 divided by 4
y = 15 / 32 x 1/4
y = 15/(32 x 4) = 15/128
hope this helps
11 pens weigh 53.43 grams how many grams will 2 pens weigh
Answers
Answer:
9.72
Step-by-step explanation:
53.43/11 = 4.86
4.86*1 = 9.72
Answer:
2 pens will weigh about 9.7 grams.
Step-by-step explanation:
1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)
2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.
Please can anyone Help ASAP
Answers
Answer:
Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.
Answer:
See below.
Step-by-step explanation:
She is wrong because 3 times the perimeter of one triangle is the sum of 9 sides of the triangles.
In the shape we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape, - the perimeter is only the length of 5 sides of a triangle.
So the perimeter is less than the sum of the sides of the 3 triangles.
11. The formula for finding a number that's the square root of the sum of another number n and 6 is
A. x = √n + 6.
B. x = √n + 6.
C. x = √n + √6.
D. x = √n6.
Answers
Answer:
x = [tex]\sqrt{x+6}[/tex]
Step-by-step explanation:
The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).
There are 39 students.The number of students that play football is twice as much as the number of students that play volleyball.9 students play both sports.WHAT IS THE NR OF STUDENTS THAT ONLY PLAY FOOTBALL?
Answers
Answer:
17
Step-by-step explanation:
There are a total of 39 students.
students.
The number of students that play football is twice as much as the number of students that play volleyball.
Let the number that plays volleyball be x then the number that plays football will be 2x. This we have
x + 2x = 39
3x = 39
x = 13
The total number that plays volleyball is 13.
The total number that plays football will be 2 x 13 = 26
Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.
the radius of wheel of a bicycle is 40 cm. taking pie =3.14, a)find tthe circumference of the wheel.b) find the distance covered by the bicycle in 200 complete revolution of the wheel.please ans this question. i beg you
Answers
Answer:
a)=251.2 cm b)=50240 cm
Step-by-step explanation:
a) The formula for calculating the circumference of a circle is c=d*pie, where D is the diameter of the circle.
Therefore, C = 2 * 40 * 3.14 = 251.2 cm
b) The distance covered by 200 revolutions of the wheel is 200 times the circumference, 200*251.2=50240 cm.So to think about this we can assume that there is a point A on the wheel, the distance that point A travels when it rotates 200 times.