Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
[tex](40)^2=(8)^2+(h)^2[/tex]
[tex]1600=64+h^2[/tex]
[tex]1600-64=h^2[/tex]
[tex]1536=h^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{1536}=h[/tex]
[tex]\pm 39.1918358=h[/tex]
Height cannot be negative. Round to the nearest foot.
[tex]h\approx 39[/tex]
Therefore, the height of the ladder on the wall is 39 foot.
Can someone tell me What dose Y=??
Hey guys please help me! Very appreciate it
Answer:
30.9
Step-by-step explanation:
.
NEED HELP ASAP WILL GIVE BRAINLIEST! :)
Answer:
it adds up to 180 so the missing parts would be whats left.
Step-by-step explanation: 35 +105=( you fill it in)
the numbe you filled in minuse 180
10 POINTS! WILL MARK BRAINLIEST!
What is the area of the trapezoid?
Answer:
93 cm.
Step-by-step explanation:
Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)
F(x)=2x^3-5 is this a one to one function
[tex]\boxed{\boxed{\pink{\sf Yes \ it\ is \ one\ to \ one \ function .}}}[/tex]
Step-by-step explanation:A function is said to be be one-to-one ( injective) if every y-value has only one corresponding x-value. The given function is ,
[tex]\bf \implies f(x) = 2x^3-5\\\\\bf\implies y = 2x^3-5 [/tex]
Here I have made the graph of " Desoms Graphing calculator. "
Now ,on plotting its graph we see that every y-value has only one corresponding x-value . Hence , ihe given function is a injective function that is one to one function.
Hence the given function is one to one ( injective ) function.What mistake did Francisca make?
1 point
Francisca is asked to solve the
following equation, Francisca's
work is shown below.
3.5 = ** - 1.5
3.5 = {* - 1,5
+1.5 + 1.5
5 = ***
---
It 풍
Francisca was supposed to add the 1/3, instead of subtracting by 1/3
Francisca was supposed to multiply by 3/1, instead of subtracting by 1/3
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3
Answer:
Francisca was supposed to divide by 1/3, instead of subtracting by 1/3.
Step-by-step explanation:
She was completing the equation correctly until she subtracted 1/3 instead of dividing both sides. It should have been 5 divided by 1/3 or 15/3 divided by 1/3.
I hope this helps!
The red sox play 118 games in 110 days what is their rate for games played to days?
Answer:
= 1.072727 games per day
Step-by-step explanation:
This is a fraction equal to
118 games ÷ 110 days
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 110
118 games ÷ 110
110 days ÷ 110
=
1.072727 games
1 day
=
1.072727 games
day
= 1.072727 games per day
Look at the pictures and solve. WILL GIVE BRAINIEST
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each graph to the equation of its line.
Answer:
1. y = 4x - 4
2. y = x + 2
3. y = -2x - 4
4. y = -x + 2
Step-by-step explanation:
Slope-intercept form is y = mx+b. As we know, m is the slope and b is the y-intercept. We need to find the slope and y-intercept and put them in the equation. Slope is rise over run, so we just count up then over until we get to an intersection. For the y-intercept, we look where the line crosses the y-axis.
A school library has 160 DVDs in its collection. Given that 45% of the DVDs are about science and 40% are about history, how many of the DVDs are about other subjects?
Answer:
24 DVDs
Step-by-step explanation:
45% of 160 = 72
40% of 160 = 64
72+64=136
160-136=24
24 DVDs
whats 41.803 rounded to the nearest whole number
41.803 is 42 rounded to the nearest whole number because when you go past .5 you round to the nearest highest number, but when your below .5 then you round to the nearest lowest number.
Answer: 41.803 rounded to the nearest whole number would be 42. Whenever you go over .5 you round to the nearest highest number. For example, 41.6 would also be rounded to 42.
Anyone have the answer?
Answer:
yes
Step-by-step explanation:
The volume of the following cylinder is 602.88cm.
Find the height of the cylinder.
Answer:
12cm
Step-by-step explanation:
what is the original price when the discount is 25% and the sale price is $40
Answer:
the original price was $53.33
Step-by-step explanation:
$x ---- 100%
$40 ------- 75% (this is because 25% of it's just 75% of the actual price)
[tex]75\cdot x = 100\cdot 40\\\\75x = 4000\\\\x=53.33[/tex]
===============================================
Work Shown:
x = original price
25% = 25/100 = 0.25
25% of x = 0.25x = discount, or amount saved
final price = (original price) - (discount)
final price = (x) - (0.25x)
final price = 0.75x
0.75x = 40
x = 40/0.75
x = 53.333333
x = 53.33
The original price is $53.33
The discount, or amount saved, is 0.25*x = 0.25*53.33 = 13.3325 = 13.33 dollars.
This means the sale price is 53.33 - 13.33 = 40
We can also see this through computing 0.75*x = 0.75*53.33 = 39.9975 = 40, which matches with the given sale price.
Note how I'm rounding to the nearest penny when needed.
Anyone know SLOPE? because I need help.
Answer:
4
Step-by-step explanation:
Which is a graph of y=3x-1
Please help me I’m very stuck?
Answer:
The 1st one
Step-by-step explanation:
John saves $32.40 within 3 months, how much money can John save in 2 years
ℙℤ ℕ ℍℙ ℍ ℍ ☹︎
I will give points | (• ◡•)|
Answer: $259.20
Step-by-step explanation: Divide $32.40 by 3 to get $10.80. Then multiply $10.80 by 24 (2 years).
Answer:
$259.20
Step-by-step explanation:
32.4·4=129.6
129.6·2=259.2
Additional info
Twelves months in one year so 12÷3=4
Two years so 129.6·2
Just in case you were wondering how I got 4 and 2
8-4x+5y
When X=-2 y=6
Answer:
46
Step-by-step explanation:
=8-4x+5y
=8+8+30
=46
A model is made of an Airbus A300 aeroplane.
The length of the model is 36 cm.
The length of the real aeroplane is 54 m.
Answer:
Since the Airbus A300 model airplane was made to scale, measuring 36 centimeters, while the real airplane measures 54 meters, to determine the scale ratio between both planes, the following calculation must be performed:
36cm = 0.36m
0.36 = 1
54 = X
54 x 1 / 0.36 = X
150 = X
Therefore, the scale ratio between the model and the real plane is 150:1.
CAN SOMEONE FIND "x" FOR ME PLZ :/
Answer:
9°
Explanation:
So, since the arrow is pointing to a RIGHT angle, you have to know the right angle's degree is 90° so set up an equation.
11x - 9 = 90
Now you solve it. Here's a step by step:
11x - 9 = 90
Add nine to nine and ninety. Since the nine in this equation is negative, it'll cancel it out. Now here's what you have left to solve:
11x = 99
Divide -11 from 11 and 99.
x = 9
If you feel like you're wrong, fill it in!
11(9) - 9 = 90
11 x 9 = 99
99 - 9 = 90
There you go!
Viktor deposits $4,300 in an account that
carns 6% interest compounded monthly.
How much is in the account after five years?
Answer:
Viktor will have $5,800 in his account after 5 years
Step-by-step explanation:
Compound Interest
It happens when interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Viktor deposits P=$4,300 in an account that earns r=6% interest compounded monthly. Since there are 12 months in a year, n=12. The interest rate is converted to decimal: r=6/100=0.06. The final amount in the account after t=5 years is:
[tex]\displaystyle A=\$4,300\left(1+{\frac {0.06}{12}}\right)^{12*5}[/tex]
[tex]\displaystyle A=\$4,300\left(1.005}\right)^{60}[/tex]
Calculating:
A = $5,800
Viktor will have $5,800 in his account after 5 years
What is the surface area?
Complete the proof.
help pls
Answer:
vertical, transitive, definition
Step-by-step explanation:
1 and 3 are vertical, as their opposite of each other
transitive means like if a = b and a =c then b = c
and a congruent to b means measure of angle a = measure of angle b
btw sugawara is cool
Find the value of k,if 3x+ky-1=0,7x-3y+3=0 are perpendicular.
728282636381919191828273737363839038373637373
dear algebra stop asking us to find your x don't ask y
Answer:
PREACH
Step-by-step explanation:
that is so smart :)
Answer:
signed algebra
Step-by-step explanation:ok b
what is the meaning of the slope in this situation?
Answer:
add a photo please do we can help you better
Answer:
The picture is non-existent
The town park is a rectangular strip of land with a width of 1/2 mile and an area of 1/8 square mile. How long is the town
park?
Answer:
1/4 mile
Step-by-step explanation:
A = length · width
let 'n' = length
1/8 = 1/2n
8n = 2
n = 2/8 or 1/4
the school band wants to make 1000 dollars at the annual car wash, if they charge 15 dollars per car, how many cars should the band wash
please help with this.
9514 1404 393
Answer:
d. The triangles are not similar
Step-by-step explanation:
The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...
QR/RS = 4/15
In ΔVTU, we have ...
VT/TU = 8/32 = 1/4 ≠ 4/15
The triangles are not similar because corresponding sides are not proportional.
Please someone help me
Answer:
a) the height ...................Im not sure though .....................................
Step-by-step explanation:
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