Answer:
18.44°
Step-by-step explanation:
The line of sight of the player to the rim, the height of the eyes of the player above the floor, the distance of the player from the center of the rim and the height of the center of the rim above the ground form a trapezium. The height of the center of the rim above the ground and the height of the eyes of the player above the floor form parallel sides.
Since The height of the center of the rim above the ground = 10 ft and the height of the eyes of the player above the floor = 5 ft, the height of the triangular part of the trapezium is 10 ft - 5 ft = 5 ft. The base of this triangle is parallel to the side of distance of the player from the center of the rim = 15 ft. So the base of this triangle is 15 ft. Since the angle of elevation Ф of the line of sight of the player to the rim is adjacent to this base = 15ft and opposite to the height of the triangle = 5ft,
By trigonometric ratios,
tanФ =opposite/adjacent = 5 ft/15 ft = 1/3
Ф = tan⁻¹(1/3)
Ф = 18.435°
Ф ≅ 18.44°
Find the slope of the line shown below.
Answer:
slope is -2
Step-by-step explanation:
trust me :)
Answer: The slope would be -2
Jane has 3 ¾ cups of yogurt that she wants to split into smaller containers. Each container can hold ¾ cup of yogurt.
Answer:
5 containers
Step-by-step explanation:
Converting to a decimal can make questions like this easier to solve.
3 3/4 = 3.75
3/4= .75
3.75 cups divided by .75 cup containers results in 5 containers needed.
Please Help Me Answer:
-6n - 5 = 31
Answer:
n = - 6
Step-by-step explanation:
Given
- 6n - 5 = 31 ( add 5 to both sides )
- 6n = 36 ( divide both sides by - 6 )
n = - 6
Answer:
n= -6
Step-by-step explanation:
-6n=31+5
-6n=36
n=36÷-6
n= -6
Anna bought a potted plant online. It cost $3.4 5plus 20% shipping and handling.What was the total cost
Answer:
Total cost = $4.08
Step-by-step explanation:
Given the following data;
Selling price = $3.4
Shipping and handling fee = 20%
To find the total cost;
First of all, we would determine the extra fee;
Extra fee = 20/100 * 3.4
Extra fee = 68/100
Extra fee = $0.68
Now, we can solve for the total cost using the formula below;
Total cost = selling price + extra fee
Total cost = 3.4 + 0.68
Total cost = $4.08
A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?
Answer:
$80
Step-by-step explanation:
10x + 30 = y
He wants to rent it for 5 hours, so we replace x with 5.
10(5) + 30 = 80
He should expect to pay $80 for the rental.
plea help I will give brainiest
Answer:b
Step-by-step explanation:
l x w x h
A bus traveled 744 miles between two cities. The bus travels at a speed of 48 mph. Write a multiplication equation and then solve to find out how many hours it took for the bus to arrive at its destination
Answer:747
Step-by-step explanation:
which is the equation of a hyperbola centered at the origin with focus ( 0,4) and vertex (0,sqaure root 12)
Answer:
the equation of the hyperbola is y^2/12-x^2/4=1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The ans above is A
hey can you solve this I'm weird at maths
[tex] \sqrt{144} = 12 \times x[/tex]
what's x ?
Answer:
The square root of 144 = 12
Step-by-step explanation:
12 X 12 = 144
A square root of a number is a value that, when multiplied by itself, gives the number.
Answer:
x=1
Step-by-step explanation:
and yes you r weird
...
Which expressions show the volume and the surface area of this cube- shaped packing box?
Answer:
top right
Step-by-step explanation:
I cant see the bottom right but the top has the proper F(t)^3 and 6 surfaces
Find the slope of the line that passes through (4, 1) and (9, 8).
slope intercept form of points (0,4) and (1,3
Answer:
y = -x+4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 4-3)/(0-1)
= 1 /-1
= -1
The y intercept is (0,4) or 4
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -x+4
Which expression is equivalent to 3x+2
Answer:
(3 x X) + 2
Can be a possible way if you factor it out I think.
Plz Help I will give Brainliest
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 8.6 Ft^2
Explanation:
First find the area of the WHOLE square in FEET
2.5 x 4.5 = 11.25 ft
Then we need to find the area of the circle
r = radius
The formula is A = 3.14r^2
The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.
A = 3.14(.9166^2
A = 2.64 Ft
Now we need to find the new total area
11.25 - 2.64 = 8.61 in ^2
Now we need to convert it to the nearest tenth of a square foot
8.6 Ft^2
I hope this helped !
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Find the Area:
16 m
.
12 m
3.14 x 8^2 = 200.96 (divided by) 2 = 100.48
1/2 (8 x 12) = 48 x 2 = 96
100.48 + 96 = 196.48
A = 196.48
2x - 4 = -8 what is the value of x?
Answer:
x = -2
Step-by-step explanation:
2x = -8+4
2x = -4
x = -2
CHECK
-4 - 4 = -8
x^4 + 25 = 26x^2
please answer quick. I'll give brainliest rothe first person
[tex]{ \leadsto{ \sf{ \green{ {x}^{4} + 25 = 26 {x}^{2} }}}} \\ \\ { \leadsto{ \sf{ \green{ {x}^{4} - 26 {x}^{2} + 25 = 0}}}} \\ \\ { \sf{ \underline{ \blue{let \: \: {x}^{2} \: be \: equal \: to \: a}}}}[/tex]
[tex]{ \leadsto { \green{ \sf{ {a}^{2} - 26a + 25 = 0}}}} \\ \\ { \leadsto{ \green{ \sf{ {a}^{2} - (a + 25a) + 25 = 0}}}} \\ \\ { \leadsto{ \green{ \sf{ {a}^{2} - a - 25a + 25 = 0}}}} \\ \\ { \leadsto{ \green{ \sf{a(a - 1) - 25(a - 1) = 0}}}}[/tex]
[tex]{ \leadsto{ \sf{ \green{(a - 1)(a - 25) = 0}}}} \\ \\ { \sf{ substituting \: value \: of \: a}} \\ \\ { \rightarrow{ \sf{ \blue{( {x}^{2} - 1)( {x}^{2} - 25) = 0}}}} \\ \\ { \sf {{x}^{2} = 1}} \\ { \sf{ \underline{x = \: ± \: 1}}} \\ \\ \\ { \sf {x}^{2} = 25} \\ { \sf{ \underline{x = \: ± \: 5}}}[/tex]
Mr. Jennings is shopping for a car loan. He wants to buy a car that costs $18,000. He plans to pay $5,000 in cash and get a loan for the rest. If the annual interest rate on the loan is 5%, how much interest will he pay in the first year?
Answer:
$650
Step-by-step explanation:
Interest = amount of the loan x interest rate x time
Amount of the loan = price of the car - cash payment
$18,000 - $5,000 = $13,000
interest rate = 5%
time = 1 year
$13,000 x 0.05 x 1 = $650
what do you call the 9 in the statement 30% of 9 is 3
Answer: You call the 9 a base.
Step-by-step explanation: 3 is the percentage or part of the whole or base.
Answer:
9 is the base of the statement.
Step-by-step explanation:
Since 30% is the rate which shows a percent symbol. 9 is the base which is the basis of the statement. Then 3 is the percentage you got from the 30% of 9.
What does this mean?
Answer:
Plug in -3 as x
Step-by-step explanation:
f= -4(-3)+1
Jennifer invests $8,353 in a retirement account with a fixed annual interest rate of8% compounded 4 times per year. What will the account balance be after 15 years?
Answer:
Amount after 15 years = $27,406.45 (Approx.)
Step-by-step explanation:
Given:
Amount invested p = $8,353
Rate r = 8% = 0.08/4 = 0.02 per year (4 times)
Number of interest compounded n = 15 year x 4 = 60 times
Find:
Amount after 15 years
Computation:
A = p[1+r]ⁿ
Amount after 15 years = 8,353[1+0.02]⁶⁰
Amount after 15 years = 8,353[1.02]⁶⁰
Amount after 15 years = $27,406.45 (Approx.)
Line n and points A through E are shown in the coordinate plane below.
5
a
D
A
с
E
5
Ayako claims that there are centers of dilations through which a dilation of line n by a factor of 1.5 leaves
Line n unchanged. Determine whether each point below represents a center of dilation that supports
Ayako's claim. Select Yes or No for each point.
Yes No
Point AOC
Point BOO
Point COO
Point DOO
Point EOC
Answer:
The points that represent a center of dilation that supports Ayako's claim are;
Point A; Yes
Point D; Yes
Step-by-step explanation:
When the figure being dilated has a segment or side that rests on the center of dilation, the corresponding side or segment of the image of the preimage of the figure will both be located on the same line
Therefore, given that the line 'n' is infinite, the centers of dilation through which a dilation of the line 'n' will form an image that will be on the same line as line 'n' are centers of dilation located on line 'n', which are;
Point A and Point D
what is the distance between (-6-4) and (-5,-4)
Step-by-step explanation:
take as if this points are on a line segment AB
Dab = square root of ( xa - xb) ^2 + ( y a- yb) ^2
= square root of [ (-6) - (-5) ]^2 + [ (-4) - (-4) ]^2
= square root of (-1)^2 + (0)^2
= square root of 1 + 0
= square root of 1
= 1 units
The distance from AB is 1 unit
A car travels 30 1/5 miles in 2/3 of an hour. Whwt is the average speed, in miles per hour, of the car
Answer:
45 3/10 mph
Step-by-step explanation:
30 1/5 /2 = 15 1/10
15 1/10 x 3 = 45 3/10 mph
La suma de dos números enteros que tienen signos diferentes es:
Answer:
Hhhhhhhhnnnnnnnnnn
Step-by-step explanation:
Bbb
1/4 of 7 and 1/3 of 7
Answer:
1/4 of 17 =4.25 in decimal form
1/3 of 7 = 2.3333 in decimal form
Step-by-step explanation:
I hope I helped
Please help me solve this
Answer:
x=61
2x+3 = 125
x-6 = 55
Step-by-step explanation:
The two angles shown form a straight line so they add to 180
2x+3 + x-6 = 180
Combine line terms
3x-3 =180
Add 3 to each side
3x-3+3 =180+3
3x=183
Divide each side by 3
3x/3 =183/3
x =61
The angle on the left is 2x+3
2x+3 = 2*61+3 = 122+3 = 125
The angle on the right is x-6 = 61-6 = 55
A bill for the repair of a laptop was $249. The cost of the parts was $84, and the labor charge was $55 per hour. How many hours did it take to repair the laptop?
What is the inverse (opposite) operation that you will use to solve this equation for c+3=4 and the answer.
Answer:
1
Step-by-step explanation:
As we know that addition and subtraction are inverse operations, as are multiplication and division.
The given equation is c+3=4
To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3
This is also called transposing and the sign of the transposed value changes.
Hence, c = 4-3 = 1
Write the equation for each graph.
PLEASE HELP ME ON BOTH !!