Answers
Answer:
x=28
Step-by-step explanation:
So first slove for the right angle triangle
a²+b²=c²
a=12 and c=15
12²+b²=15²
144+b²=225
b²=225-144
b²=81
b=√81
b=9
so now that you know the top two sides add 10 due to the lenght given on the bottom
9+10+9=28
Related Questions
A boy is launching a toy rocket he got for his birthday from the top of an 80 ft building. The function representing
the height is f(0) = -16x? +64x + 80 where x represents time in seconds.
How many seconds did it take the rocket to reach it's maximum height?
A
144 sec
B)
2 sec
Eliminate
1.5 sec
D)
128 sec
Answers
Answer:
2 seconds, assuming the "?" in the equation is supposed to be ^2 (the exponent of 2): f(h) = -16x^2 +64x + 80
Step-by-step explanation:
You can either graph the functuion or take the first derivative to find the maximum height. The first derivative will give us the slope for a values of x. The slope at the top height of the rocket is zero, since it has stopped and is starting it's way back down.
First Derivative:
f(x) = -16x^2 +64x + 80
f'(x) = -32x + 64
Set this equal to zero and solve for x
0 = -32x + 64
x = 2 seconds.
Use 2 seconds in the original equation to find the height at 2 seconds.
f(2) = -16x^2 +64x + 80
f(2) = -16(2)^2 +64*(2) + 80
f(2) = 144 feet
Graph:
A graph is attached. You can locate the maximum at (2,144)
x + 3y = 5
x + 2y = 3
Solve by using elimination
Answers
Answer:
(x, y) = (-1, 2)
Step-by-step explanation:
The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)
(x +3y) -(x +2y) = (5) -(3)
y = 2 . . . . . . . simplify
x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x
The solution is (x, y) = (-1, 2).
An acute angle of a right-angled triangle is twice the other acute ongle find them
Answers
Answer:
30° and 60°Step-by-step explanation:
An acute angle of a right-angled triangle is twice the other acute ongle find them
the sum of the internal angles of a triangle is 180 °, take away the right angle (90 °) and divide by three, and you find one of the unknown angles, you multiply it by 2 and you find the other unknown angle
(180 - 90) : 3 = 30
30 * 2 = 60
----------------------
check
90 + 30 + 60 = 180°
the answer is good
PLEASEEE HELP ME WITH THIS!!!
Answers
Answer:
m∠H = 10°
Step-by-step explanation:
ΔFGH is an isosceles triangle. I made a diagram, so m∠F ≅ m∠H by B.A.T(base angle theorem). This is because an isosceles triangle have to congruent sides and angles.
Diagram is attached:
-Chetan K
Determine if the triangles are similar. If similar, choose how and also choose the correct similarity statement.
Select 2 correct answer(s)
SAS
SSS
AA
Not Similar
△LMN ~ △GHN
△LNM ~ △GHN
△MLN ~ △GHN
Answers
Answer:
SAS∆LMN ~ ∆GHNStep-by-step explanation:
If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.
LG/MH = 12.5/10 = 1.25
GN/HN = 40/32 = 1.25 . . . . so the triangles are similar
__
The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.
Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.
the ratio of adult to children in the spot club is 5:3 There are 120 people in the club. how many children are there
Answers
Answer:
5:3=8
3/8 x 120
3/1 x 15
3 x 15=45
Step-by-step explanation:
hope this helps
sorry
3x+5x=120
Then combine like terms
8x=120
Divide 8 by both sides
x=15
Now that we have that we can figure out how many children and adults there are
Children: 3x15=45 children
Adults: 5x15=75 adults
Also, you can type this in your calculator for a faster method
Children : 120 x(3/8) =45
because eight is the sum of the ratio 5+3
And Adults : 120 x(5/8)=75
So the answer to your question is 45 children.
Hope this helps!!!
Which of the following is a possible situation for the graph shown?
Answers
Step-by-step explanation:
but the graph is not given here
100 POINTS ANSWER QUICK
A sphere has a diameter of 9 inches.
What is the volume of the sphere rounded to the nearest tenth?
Use 3.14 for pi.
95.4 in³
381.5 in³
763.0 in²
3052.1 in³
Answers
Now
Volume=
4/3πr³4/3π(4.5)³121.5π381.5in³Option B
Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate
Answers
Answer:
Unit rate is 3
Step-by-step explanation:
The unit rate means the value of ONE unit.
In this case, it would be the value of ONE pound of apples.
I divided 6 by 2, which gave me THREE.
Ravi Makes lemonade by mixing lemon juice and water for every 1 cup of lemon juice he uses 4 cups of water.
Answers
Answer:1/4
Step-by-step explanation:
Create a random triangle, ABC Measure and record its angles.
Answers
Answer:
a. 3.5
b.5.4
c 2.6
Step-by-step explanation:
/\_
Which is the simplified form of the expression ? A. B. C. D.
Answers
theres the picture i dont know how to write it out.
Answers
Answer:
x > -2
Step-by-step explanation:
As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.
Hope this helps!!
A group of 12 adults and 26 children go to a theme park.
The total cost of tickets is £1804.80.
An adult's ticket costs £51.60
Find the cost of a ticket for a child.
Answers
Answer:
I don't have the Pound Sterling sign on my keyboard but the answer is $45.60
Step-by-step explanation:
Since each adult ticket costs $51.60 and there are 12 adults
The total cost of adult tickets = $51.60*12=$619.20
Then take the total cost of tickets and subtract $619.20 from it
$1804.80-619.20=$1185.60 that's the total cost of children's tickets
Since there are 26 children you have to divide that answer by 26 to get it
$1185.60/26=$45.60
What must be true about two objects of heat is flowing between them?
Answers
Answer:
that must mean that either the objects are giving off heat or the heat from one object is transferring to the air
Step-by-step explanation:
Answer:
The objects must be different temperatures.
Step-by-step explanation:
Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius 6
Answers
Answer:
c.
took the test
Step-by-step explanation:
How do I find x in this ?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex]x = 450[/tex]Refer to attachment for solution ~
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answers
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
which symbol would best replace the question mark below
Answers
Answer:
C?
Step-by-step explanation:
The sum of two consecutive even numbers is 214. What are the numbers?
Answers
Step-by-step explanation:
since they are consecutive even numbers, one is bigger by 2 than the other number.
so,
x + (x + 2) = 214
2x + 2 = 214
x + 1 = 107
x = 106
so, the 2 numbers are 106 and 108.
Help me with this hw plz
Answers
Answer:
here
Step-by-step explanation:
А. parallelogram .............
Step-by-step explanation:
plsss help me again:((((
Answers
#carry on learning
22 divided by a number s in algebraic expressions
Answers
Answer:
22 divided by a number s
Step-by-step explanation:
[tex] \frac{22}{s} [/tex]
8x -2 + (4x - 1)(4x+1) = 0
Answers
Answer:
8x - 1 + 16x²
Step-by-step explanation:
8x - 2 + (4x - 1)(4x+1) = 0
=> 8x - 2 + 16x² + 4x - 4x - 1
=> 8x - 2 + 16x² - 1
=> 8x - 1 + 16x²
Therefore, 8x - 1 + 16x² is our answer
82837848+8383830.84-73327.00.73 =?
Answers
Answer:
91148351.8327
Step-by-step explanation:
Calculator
Marc has 45 books on his bookshelf, and Corinna has 61. If Marc buys 4 new books each month and Corinna buys 2 new books each month, after how many months will Marc and Corinna have the same number of books?
Define the variable:_________________________________________
Write the equation: _________________________________________
Solve the equation in the space below. Show your work
Answers
45 +4x= 61 +2x
4x- 2x= 61-45
2x= 16
x= 8
Josh is painting all the walls in his room that is 3m x 4m and 2.75m high, How much paint in square feet is needed?
Answers
Answer:
33
Step-by-step explanation:
3*4*2.75=33
which one is correct and if you chose a,b,c,d explain why
a
b
c
d
Answers
Answer:
A. √150
Step-by-step explanation:
12² = 144
13² = 169
The only value of any of the options falling between 12 and 13 is √150
At this rate how many min. Does it take Ben to run 2 miles, swim 2 miles, and bike 2 miles
Answers
Swim : 2 miles in a third of an hour or 20 mins
Bike : 2 miles in an eight of an hour or 7.5 mins
If the perimeter of a rectangle is 6x^2-2x+14 and the length is x^2-x+8 what is the measure of the width?
Please help!!
Answers
Answer:
w = 2x^2-2x+15
Step-by-step explanation:
Since the formula to find the perimeter is P=2l+2w, use this to set up your equation:
6x^2-2x+14 = 2(x^2-x+8) + 2w
Then, distribute the 2 to everything inside the parentheses.
6x^2-2x+14 = 2x^2-2x+16 + 2w
Subtract 2x^2-2x+16 from both sides, leaving you:
4x^2-4x+30 = 2w
Divide 2 from both sides.
2x^2-2x+15
The answer is 2x^2-2x+15