Answer:
The length of slide is 18.36 meters
Step-by-step explanation:
The given scenario forms a right-angled triangle where
The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.
Height of tower = h = 16 meters
Distance between slash pool and base of tower = b = 9 meters
Length of slide = s = ?
As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide
Pythagoras theorem states that:
[tex](Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters[/tex]
Hence,
The length of slide is 18.36 meters
What is the range of possible values for x?
The range of possible value for x is 3/2< x <24 , using properties of angle and sides.
How sides and angles are related ?
Side opposite to larger angle is always larger than other.
Here,
In ΔBCE and ΔCED
BE=DE
CE=EC
AND BC>CD
So, from above statement, ∠BEC > ∠CED
then,
45 > 2x - 3
48 > 2x
24 > x or x < 24
And, angle is always greater than 0
So, 2x - 3 > 0
2x > 3
x > 3/2.
So, option 3rd is correct.
Learn more about angle and side from given link:
https://brainly.com/question/27758960
#SPJ1
Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month?
Joshua after all his spending has $7.75 at the end of the month
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.
So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,
= $(20.50 + 7.50 + 3.75).
= $31.75
Now, we'll subtract all his spending,
= $(31.75 - 5.25 18.75).
= $7.75.
learn more about numerical expressions here :
https://brainly.com/question/29199574
WHATS 2.05 DIVIDED BY 164 IM IN 6TH GRADEE AHHH
Answer: 0.0125 is your answer
the recommended weight of an adult beagle is at least 18 pounds but no more than 30 pounds. Of a beagle puppy is currently 8 pounds, what is the recommended pounds the puppy should gain by the time it is an adult?
Answer:
The recommended weight of the puppy should be equal to or more than 18 pounds but less than 30 pounds. It can be seen as the inequality below too:
[tex]18 \leq x <30[/tex]
X representing the pounds of an adult beagle.
Hope this helps!
- Kay
Mike earn $34 in 4 hours on his job today he wants to know how much would he earn if he wants 10 hours tomorrow
Answer:
85 dollars
Step-by-step explanation:
34/4=8.5
8.5*10=85
PLS SOLVE!!!!! THANK YOU!!!!!
Write the equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3
Answer:
The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:
[tex]\mathbf{y=-\frac{2}{3}x+1}[/tex]
Step-by-step explanation:
We need to write equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3.
The equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given slope m = -2/3 and we need to find y-intercept i.e b to write equation of line.
Using point (3,-1) and slope m=-2/3 we can find y-intercept i.e b
[tex]y=mx+b\\-1=-\frac{2}{3}(3)+b\\-1=-2+b\\b=-1+2\\b=1[/tex]
So, y-intercept b = 1
The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:
[tex]y=mx+b\\\mathbf{y=-\frac{2}{3}x+1}[/tex]
PLEASE HELP! NO ONE WANTS TO HELP ME :( the person who would help me is the nicest.
1. 9/13
2 . 45/2 = 22 1/2
3. 9
4. 45/8 = 5 5/8
Answer: The one of the top right has the greatest value.
Explanation: Well, I see on the right side it allows you to use a calculator, so just use one.
The one on the top left is 2 and 1/4.
The one of the top right is 22 and 1/2.
The one on the bottom left is 9.
The one on the bottom right is 5 and 5/8.
The one on the top right (22 and 1/2) has the greatest value.
What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85
Answer:
0.55
Step-by-step explanation:
all you do is subtract
20 POINTS!!!!!!!!!!!!!
2+10=?????
Answer:
12
Step-by-step explanation: yes, big brain
the answer is 12
Step-by-step explanation:
10 add 2 altogether 12
determine the intersepts
Answer:
Step-by-step explanation:
y = (0,-10)
x = (3,0)
hope this helped
driving into a 20-mph breeze cuts gas mileage by about 12%. What will be your gas mileage in a 20-mph wind if it is 24 mi/gal with no wind
Answer:
the gas mileage would be 21.12 mi/gal
Step-by-step explanation:
The computation of the gas mileage is shown below:
Given that
Driving into a 20-mph
Gas mileage by approx 12%
No wind at 24mi/gal
based on the above information
The deduction would be
= 12% × 24
= 2.88 mi/gal
Now the actual mileage in 20-mph would be
= 24 - 2.88
= 21.12 mi/gal
hence, the gas mileage would be 21.12 mi/gal
A sample survey was taken of 100 students to determine which of three homecoming themes students prefer. The percentages of students
selecting themes A and B are shown in the table.
Theme A (96)
Theme B (%)
25
45
If the remaining students selected theme C, which statistical model could be used to make predictions about the theme a random student might
prefer?
O A 5 white marbles, 6 yellow marbles, and 9 green marbles
OB. 5 white marbles, 6 yellow marbles, and 8 green marbles
OC 4 white marbles, 6 yellow marbles, and 9 green marbles
OD 4 white marbles, 6 yellow marbles, and 8 green marbles
Following the same proportions as the table, the correct option is:
A. 5 white marbles, 6 yellow marbles and 11 green marbles.
---------------------------------------
From the table, we have that:
25% of the students prefer Theme A(white).45% of the students prefer Theme B(green).The rest, that is, 100 - (25 + 45) = 100 - 70 = 30% of the students prefer Theme C(yellow).---------------------------------------
For the marbles, we have to find an option in which the proportions are the same, that is: 25% white, 45% green, 30% yellow.
---------------------------------------
Option A:
Out of 20, 5 white, 6 yellow and 11 green.
[tex]\frac{5}{20} = 0.25, \frac{6}{20} = 0.3, \frac{11}{20} = 0.55[/tex]
Same proportions, thus, option A is correct.
A. 5 white marbles, 6 yellow marbles and 11 green marbles.
A similar question is given at https://brainly.com/question/19905617
Answer:
A. 5 white marbles, 6 yellow marbles, and 9 green marbles
Step-by-step explanation:
the amount of marbles adds up to 20, this would make one marble worth 5/100. so 5 white marbles is 25% (theme A) 9 green marbles is 45% (theme B) and 6 yellow marbles is 30% (theme C)
Which point is located at (8, 6)?
1014
C
B
B
If AB = x + 4, BC = 2x - 10, and AC = 2x + 1, then find the value for BC.
11
7
4
15
None of the other answers are correct
Answer:
4
Step-by-step explanation:
AB + BC = AC
(x + 4) + (2x - 10) = 2x + 1
x + 4 + 2x - 10 = 2x + 1
x - 6 = 1
x = 7
BC = 2(7) - 10 = 4
Which of the following represents a line with a slope of 4, x-intercept of (2, 0) and a y-intercept of (0, -8)?
Identify the independent and dependent variables.
A certain movie earns $1200 for each screen it is shown on.
PLZ HELP!!!!!!!
Answer:
Step-by-step explanation:
Step one:
given data
we are told you earn $1200
the linear function for the cost is expressed as
y=1200x-----------------1
Step two:
We want to bring out the following information
Independent: The number of screens which is x
Dependent: The total revenue which is y
Function: y=1200x
What is a dependent variable?
This is a variable that rely on the value of other terms
What is a independent variable?
this is a variable that does not rely on other terns
Meghann is reading a 630- page book. She reads 18 pages each day. Write and solve a division equation to find the number of days, d, it will take Meghann to finish her book.
Answer:630/18=d
35=d
It will take Meghan 35 days to finish her 630 page book.
Step-by-step explanation:
[tex]x^{2} \geq \pi \alpha[/tex]
Answer:
x≥√πax≥πa or x ≤−√πa
Step-by-step explanation:
Solve for x and y! Help plz
Answer:
x = 20
y = 19
Step-by-step explanation:
(2x - 3)° + (3x - 7)° = 90° (complementary angles)
(2x - 3 + 3x - 7)° = 90°
(5x - 10)° = 90°
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20
2y - 1 = 2x - 3 ( vertical angles)
2y = 2x - 3 + 1
2y = 2x - 2
2y = 2*20 - 2 (plug x = 20)
2y = 40 - 2
2y = 38
y = 38/2
y = 19
Answer:
there's no question...
(Giving brainliest on this one, pls help ASAP!)
Solve two and one third times two and three fourths.
A) four and three twelfths
B) six and five twelfths
C) seven and five twelfths
D) eight and three twelfths
Answer:
B
.........................
Answer:
B
Step-by-step explanation:
2 1/3 x 2/34
(2 x 3) + 1 = 7/3
(2 x 4) + 3 = 11/4
7/3 x 11/4 = 77/12
77 ÷ 12 = 6 5/12
So B
what is the approximate area of a circular pond that has a radius of 35 meters?
Hamid has gained weight.
He now weighs 88 kg, which is 10% higher than his normal weight.
What is Hamid's normal weight?
Answer:
80 KG :)
Step-by-step explanation:
Interest on an investment is considered what
Answer:
investment interest expense is any amount of interest that is paid on loan proceeds used to purchase investments or securities. Investment interest expenses include margin interest used to leverage securities in a brokerage account and interest on a loan used to buy property held for investment
A block of ice in the form of a cube has one edge 10 feet long. It is melting uniformly so that its dimensions decrease at a rate of 1/10 fps (feet per second). At what rate is the volume of the block changing when the edge is 5 feet long?
Answer:
-7.5 ft^3/sec
OR
Volume is decreasing at the rate of 7.5 ft^3/sec
Step-by-step explanation:
Side of cube = 10 feet
Rate of decreasing of side of cube = [tex]\frac{1}{10}\ feet/sec[/tex]
OR
Rate of change of side of cube = [tex]-\frac{1}{10}\ feet/sec[/tex]
To find:
Rate of change in volume when the edge is 5 feet long = ?
Solution:
Volume of a cone is given by:
[tex]V =Side^3[/tex]
If side is [tex]a[/tex] units, then Volume can be written as:
[tex]V =a^3[/tex]
Differentiating w.r.to time:
[tex]\dfrac{dV}{dt} = 3a^2\dfrac{da}{dt}\\\Rightarrow \dfrac{dV}{dt} = 3\times 5^2(-\frac{1}{10})\\\Rightarrow \dfrac{dV}{dt} = -7.5 ft^3/sec[/tex]
Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec
How to round 106.327 to nearest hundredths explain
Answer:
106.33
Step-by-step explanation:
after decimal you have .3 tenths 2 hundredths 7 thousandths
to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up
106.327 is rounded to 106.33
Answer:
your answer is 106.3
Step-by-step explanation: so first you do this
[tex]106.327\\3 =tenths\\2= hundredths[/tex]
so when you round if it is 5 or above you round up if it is 4 or below leave it alone
so the final answer is 106.3
when you round the 27 is removed and this is what you have left.
Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and hands out 12 advertisements per minute, on average. Which of the following equations best models the relationship between the amount of time t, in minutes, Sam spends handing out advertisements and the number of advertisements, n, remaining? A t = 5,000n - 12 B n = 5,000t - 12 C t = 5,000 - 12n D n = 5,000 - 12t
Answer:
n = 5,000 - 12t
Step-by-step explanation:
Sam is handing out advertisements for an upcoming event.
No of advertisements = 5000
No of advertisements per minute is 12.
We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.
5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :
n = 5,000 - 12t
Hence, the correct option is (d).
Solve this system of equations by using a matrix. 6x-5y=-15, 4x+3y=-10
Answer:
(-2.5,0)
Step-by-step explanation:
1.5(4x+3y)=-10(1.5) =
6x+4.5y=-15
6x+4.5y= 6x-5y (substitution)
-6x from both sides
4.5y =-5y
y=0
6x-0=-15
divide by 6
x=-2.5
Check:
-2.5(4)+3(0)=-10
-10= -10 (correct!)
(6)-2.5-0=- 15 (correct!)
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