Answer:
14.45 feet
Step-by-step explanation:
The set up is a right angled triangle;
The length of the ladder = hypotenuse = 15foot
The base of the ladder is the adjacent = 4feet
The height of th house is the opposite = x
Using the pythagoras theorem;
hyp² = opp² + adj²
15² = opp²+4²
opp² = 15²- 4²
opp² = 225 - 16
opp² = 209
opp = 14.45feet
Hence the ladder reaches 14.45 feet up the house
Question 2 (1 point)
Evaluate: 12 + (-4)
16
8
-16
-8
Darryl Dixon shoots an arrow at a zombie. The path of the arrow can be modeled with the equation y=-x^2 42x-80, where x is time in seconds and y is the height in feet. How long does it take for the arrow to reach its maximum?
We need to find time taken to reach arrow to its maximum.
The path of the arrow can be modeled with the equation [tex]y=-x^2+ 42x-80[/tex] .
Differentiating the given equation w.r.t x and equate it to zero.
[tex]\dfrac{dy}{dx}=-2x + 42 \\\\42 - 2x = 0\\\\x = 21\ seconds[/tex]
Putting value of x = 21 sec in given equation, we get :
[tex]y=-x^2+ 42x-80\\\\y = -(21)^2 + (42\times 21) - 80\\\\y = 361 \ feet[/tex]
Therefore, time taken to reach maximum height is 21 seconds.
If the m =1/2 and the b = -2, then the linear equation is
Answer: y= 1/2x - 2
Step-by-step explanation:
y= mx+b
m= 1/2 (plug it in)
b= -2 (plug it in)
x= ?
there are 9 children in a class who take the bus to school and there are 15 total children in the class what percentage of the children take the bus to school?
Answer:
60%
Step-by-step explanation:
Answer:
60%
Step-by-step explanation:
9/15=.6
.6 as a percent is 60%
If u get this right I’ll mark u as brainlist
Answer:
c
Step-by-step explanation:
Mary borrowed $840 from her friend to help pay for a trip. She paid him $40 every
week until the debt was paid.
How many weeks did it take Mary to pay her debt?
A. 40
B. 35
C. 32
D. 21
Answer:
d.21
Step-by-step explanation:
840/40=21
Answer:
21 Weeks
Step-by-step explanation:
$840 ÷ 4 weeks = 21
You can also reverse work this by multiplying $40 by the other choices!
$40 x 40 = $1600
$40 x 35 = $1400
$40 x 32 = $1280
$40 x 21 = $840
As we can see, D is the only answer that makes sense, therefore 21 weeks is the answer.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Pleaseee helpppp!!!!! I keep getting this answer wrong on the test :(
Please help!! And show work please! I'll give brainlist..!
13(2x)+5x as a simplified expression
Answer:
31x
Step-by-step explanation:
PEMDAS. Multiplication first.
13*2x is 26x. Then add 5x. 31 x
Hope this helps you :D
#Team Rainbows
Angie is thinking of a number that is divisible by both 8 and 12. What is the smallest number that Angie could be thinking of?
Answer:
24
Step-by-step explanation:
Answer:
Angie is thinking of the number 24.
Explanation:
24 can be divided into 8 three times & can be divided by 12 only two times.
hi need help with math
some one help
Answer:
Ether C or D. hope this helps
Select all ratios equivalent to 5:10 select all that apply
Answer:
8:16 and 7:14
Step-by-step explanation:
5:10 is a 1 to 2 ratio and so are 8:16 and 7:14
Answer:
8:16 and 7:14
Step-by-step explanation:
It is a half and half ratio
7. Peter is trying to get his cat out of a free in
his backyard. The cat is 12 feet above the
ground, and Peter has to put the base of his
ladder q feet away from the tree because of
mud. How long does the ladder need to be in
order to reach the cat?
Answer:
13 ft
Step-by-step explanation:
Help pleaseeeeeeeeeeee.
Answer:
(-10, 9)
Step-by-step explanation:
9x+9y=-9
Use substitution method
9(-10)+9y=-9
Order of operations(PEMDAS)
-90+9y=-9
Add 90 to both sides
(-90+90)+9y= -9+90
9y=81
Divide 9 from both sides
(9/9)y=81/9
y=9
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.
Answer:
Step-by-step explanation:
in this case, we already know that x= -10 so we can substitute in the other problem, -10x9 = -90 so now we can get rid of that by adding + 90 on each side making it 9y=81 by this time, we see that both sides are divisable by 9 divide both by nine and you get: 1y=9 from that you can finally answer the question with
x= -10 y= 9
following data, what would be the value of x?
Answer:
The answer is C. 10
Step-by-step explanation:
Answer:
Step-by-step explanation:
question please
at Best Buy they have a stereo system at the cells of 22000 and is on sale for 15% and sales tax is 7%. what is the final cost
Answer:
4,840
Step-by-step explanation:
15% of 22000 is 3300 and 7% of 22000 is 1540 so add those together to get 4840.
Which of the following is a function? *
{(5, 0), (0, −8), (5, −5)}
{ 5, 0, -8. -5}
Option 5
{(5, 0), (0, 5), (−5, −5)}
{(5, 0), (−8, −5), (−8, 5), (−5, −8)}
Answer:
{(5,0),(0,5),(-5,-5)}
Step-by-step explanation:
Factor the following expression: x^2+3x
Step-by-step explanation:
Hey there!
Given;
[tex] = {x}^{2} + 3x[/tex]
~ Take "X" common.
=[tex]x(x + 3)[/tex]
Therefore, "x" and "x+3" are the factors if the expression.
Hope it helps...
Martin and Helen both are computer technicians and they repair all kind of computers. Martin makes $50 a day plus $25 per repair. Helen makes $20 a day plus $35 per repair. Write an expression and simplify it for Martin and Helen’s total daily earnings if they make the same number of repairs r. I'll give thanks and 5 stars if answered!!
Answer:
In the equation the $50 would be the start up or in other words the y-intercept
Step-by-step explanation:
Answer:
Martin made more. He mad $75 dollars.
Step-by-step explanation:
So martin makes $50 a day plus $25 per repair. so he made $75 dollars. And Helen makes $20 a day plus $35 per repair so he maid $55 dollars less so martin made more. No they don't make the same number of repairs.
What is the initial value of the exponential function represented by the table?
One-eighth
One-fourth
One-half
1
Find the measure of angle A
Answer:
43°
Step-by-step explanation:
(x + 53)° + (x + 74)° + 73° = 180°
(x + 53 + x + 74)° = 180° - 73°
(2x + 127)° = 107°
2x + 127 = 107
2x = 107 - 127
2x = - 20
x = - 20/2
x = - 10
[tex]m\angle A = (x +53)\degree \\\\
m\angle A = (-10 +53)\degree \\\\
m\angle A = 43\degree \\\\
[/tex]
Click on photo if neccessary
I NEED HELP LIKE ASAP
Answer:
the answer would be a
Step-by-step explanation:
if i am right can i please have the brainelest
Sahai took $40 to the local carnival. The entrance fee to get into the carnival cost X dollars. Sahai paid for 5 people (including herself) to get into the carnival. Write an expression that represents the amount of money, in dollars, that Sahai had after she paid for the entrance fee for the 5 people.
Answer:
40-5x
Step-by-step explanation:
Sahai starts with 40 and loses 5 times the entrance fee, which is represented by x. So, 40-5x is the expression
What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16
Answer:
so 1- 2 is negative 3 so minus tha by 3 than 4x2
Step-by-step explanation:
v-20 in radical from
Answer: V - 20
Step-by-step explanation: Hope this helps
help please? 26x-2(3x+4y)-10y
Answer:
20x-18y
Step-by-step explanation:
26x-2(3x+4y)-10y
26x-6x-8y-10y
20x-18y go doawnload the app photomath its a great tool
Giving brainliest please help!
Answer:
22 or 21
Step-by-step explanation:
HOP THAT HELPS
Henry runs each lap in 4 minutes. He will run at most 11 laps today. What are the possible numbers of minutes he will run today?
Answer:
Step-by-step explanation:
Time taken in each lap = 4 min
Total laps = 11
Total time = 11 x 4 = 44min
Answer:
44 minutes
Step-by-step explanation:
4 minutes per lap . He is running 11 laps. Multiply 4 times 11 and it equals 44
What is 50,000 + 7,000 + 400 + 10 + 6 in standard form?
Answer:
57,416
Step-by-step explanation:
50,000 + 7,000 + 400 + 10 + 6
50,000 is in the ten thousands place.
7,000 is in the thousands place.
400 is in the hundreds place.
10 is in the tens place.
6 is in the ones place.
