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.
Henry planted 24 tomato plants and 18 green bean plants in his garden. Simon planted 30 tomato plants and 25 green bean plants in his garden.
The ratio of tomato plants to green bean plants is
A. the same or B. different for the two gardens.
Answer:
Its different.
Step-by-step explanation:
Henry's garden:
divide 24 and 18 by 6: you get 4:3 ratio of tomato:green bean
Simon's garden:
divide both 30 and 25 by 5: you get 6:5 ratio of tomato:green bean.
Substitution Method
2x+5y=-1
y=3x+10
What is chipset what role its play:}
Answer:
a chipset is a system of electrical components which are needed to work for microprocessors.the chipset is to do with the the components on the motherboard
Step-by-step explanation:
pls mark me as brainliest!!<3
ʟɪᴠɪɴɢ ᴏɴ ᴛʜᴇ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ, ᴀ ᴘᴄ's ᴄʜɪᴘsᴇᴛ ᴄᴏɴᴛʀᴏʟs ᴛʜᴇ ᴄᴏᴍᴍᴜɴɪᴄᴀᴛɪᴏɴ ʙᴇᴛᴡᴇᴇɴ ᴛʜᴇ ᴄᴘᴜ, ʀᴀᴍ, sᴛᴏʀᴀɢᴇ ᴀɴᴅ ᴏᴛʜᴇʀ ᴘᴇʀɪᴘʜᴇʀᴀʟs. ᴛʜᴇ ᴄʜɪᴘsᴇᴛ ᴅᴇᴛᴇʀᴍɪɴᴇs ʜᴏᴡ ᴍᴀɴʏ ʜɪɢʜ-sᴘᴇᴇᴅ ᴄᴏᴍᴘᴏɴᴇɴᴛs ᴏʀ ᴜsʙ ᴅᴇᴠɪᴄᴇs ʏᴏᴜʀ ʙᴇsᴛ ᴍᴏᴛʜᴇʀʙᴏᴀʀᴅ ᴄᴀɴ sᴜᴘᴘᴏʀᴛ
how to solve proportions
Answer:
Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."Look at the dot plot to answer the following question.
A dot plot titled How Old Were You When You Started Babysitting Question mark goes from 10 to 16. 10 has 2 dots, 11 has 3 dots, 12 has 3 dots, 13 has 6 dots, 14 has 2 dots, 15 has 1 dot, and 16 has 1 dot.
How many more people started babysitting when they were 13 rather than 12?
3
6
12
13
Answer: I think it’s 3
Step-by-step explanation: I took a look at 13 and 12 subtracted 6-3=3
so I believe this is the answer sorry if I’m wrong
Answer:
3?
Step-by-step explanation:
Simplify:
√36a^3b^4
A) 6ab^2√a
B) 6ab^2
C) 6ab^2√ab
D) 6ab^3
Can someone please help me with this
I need help my teacher never taught me well
Answer:
3:20
Step-by-step explanation:
Answer:
4:18
hope it helps.....
Really need this B is perimeter D is volume if you couldn't see it.
Answer:
B
Step-by-step explanation:
yea
Answer:
a) area
Step-by-step explanation:
well you just need to find the carpet area. carpet is just for the floor, so you don't need the perimeter, volume is for 3D figures, and surface area is for the outside of an object. carpet is a 2D figure, so the answer is a) area :)
hope this helps!
HELP PLS BRAINLIEST AND POINTS!!!!
Answer:
C
Step-by-step explanation:
Since a triangle's area is half as much as a rectangle or square, considering that they have the same width and length, you can basically eliminate choices a and b.
Choice d doesn't make sense because it's a square, now you are left with choice c.
Answer:
I think it might be d.
What is (-3,4) (5,-2) in slope intercept form?
Answer:
y=-3/4x+7/4
Step-by-step explanation:
Answer:
I got y = -3/4x + 7/4.
Might be wrong, but I'm pretty sure.
please answer quickly
Step-by-step explanation:
Supplementary angles add up to 180°. so,
2x+15 + 3x+5 = 180
5x+20=180
Subtract 20 from both sides
5x=160
Divide both sides by 5
x=32
Plug that into 2x+15, F = 64+15 = 79
for 3x+5, G = 96 +5 = 101
Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the same rate?
Answer:
$0.89 in other words 89 cents
Step-by-step explanation:
$10.68/12= 0.89
find the measurement indicated in each parallelogram
Answer:
QR=PS in a parallelogram
Therefore, 17.7 is the right answer.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment lists points on each graph.
a) The equation for a horizontal line is ...
y = constant
Here, the output value is always 5, so that is the constant in the equation:
y = 5
__
b) The graph is a straight line through the origin, so the equation is that of a proportion:
y = kx . . . . . for some constant of proportionality k
Using the point (x, y) = (-4, 2), we can find k from ...
k = y/x = 2/(-4) = -1/2
The equation of the line is ...
y = -1/2x
__
c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...
m = rise/run = 3/1 = 3
The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...
y = mx + b . . . . . for slope m and y-intercept b
y = 3x - 2
_____
You can check that the equation is satisfied by each of the points listed. For example, ...
a) in = -4, out = y = 5 . . . matches table
b) in = 2, out = y = -1/2(2) = -1 . . . matches table
c) in = 1, out = y = 3(1) -2 = 1 . . . matches table
(You can check the other table values.)
A game store owner buys a Nintendo Switch game for $22.50 and sells it with a 40% mark up. What is the retail price?
Answer: $31.50
Step-by-step explanation:I think; $22.50 x .40=9
$22.50+9=$31.50
Which of the following best describes the slope of the line below?
help me and ill give brainly
Answer:
(-inf, 5)
Step-by-step explanation:
just the previous answer, in anothe r form
Please give me the correct answer
Answer:
not a right triangle
Step-by-step explanation:
if the radius is 14cmand The perimeter of the sector is 57.32cm.
what is the size of the angle?
Answer:
120°
Step-by-step explanation:
A sector of a circle is the portion or region of a circle enclosed by two radii and an arc. The perimeter of a the sector of a circle is given by the formula:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
Where θ is the angle which forms the sector and r is the radius of the circle.
Given that Perimeter of sector = 57.32 cm, radius (r) = 14 cm, we can find the angle θ using:
Perimeter of sector = [tex]\frac{\theta}{360} *2\pi r[/tex] + 2r
[tex]57.32=\frac{\theta}{360} *2\pi *14+2(14)\\\\57.32-28=\frac{\theta}{360} *2\pi *14\\\\29.32=\frac{\theta}{360} *2\pi *14\\\\ \frac{\theta}{360}=\frac{29.32}{2\pi *14} \\\\\frac{\theta}{360}=0.33\\\\\theta=120^o[/tex]
will got 17 out of 25 questions correct on his driving test what percent correct did he get on the test?
Answer:
68%
Step-by-step explanation:
[tex]\frac{17}{25} = \frac{68}{100}[/tex] [tex]\frac{68}{100}[/tex] = 68%I hope this helps!
Find the GCF of 8a^3b^5c^2 and 12a^2b^3c^2
*Please show your steps to the equation*
Zachary places daisies and magnolias in a vase. If daisies cost x dollars, magnolias cost y dollars and a vase costs v dollars, mark all equations which represent the cost of 20 vases of 40 daisies and 80 magnolias.
Answer:
[tex]Total = 20v + 40x + 80y[/tex]
[tex]Total = 20(v + 2x + 4y)[/tex]
Step-by-step explanation:
The options were not given,en but the question can still be solved.
Given
[tex]Daises = \$ x[/tex]
[tex]Magnolias = \$ y[/tex]
[tex]Vase = \$ v[/tex]
Required
Determine the cost of 20 vases, 40 daises and 80 magnolias
If 1 vase costs $v, then
[tex]20\ vases = 20 * v[/tex]
[tex]20\ vases = 20v[/tex]
If 1 daises costs $x, then
[tex]40\ daises = 40 * x[/tex]
[tex]40\ daises = 40x[/tex]
If 1 magnolias costs $y, then
[tex]80\ magnolias = 80 * y[/tex]
[tex]80\ magnolias = 80y[/tex]
[tex]Total = 20v + 40x + 80y[/tex]
Another expression that represents the total is to factorize the expression.
[tex]Total = 20(v + 2x + 4y)[/tex]
HELP ME PLEASE!!!!
Jake rewrites the expression 81x4 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?
A.(9x)^4-1^2
B.(9x^2)^2-1^2
C.(9x)^4-1^4
D.(9x)^4-1^2
Answer:
B
Step-by-step explanation:
This is due today, please help!!! I will give brainliest.
Answer:
Step 1, all the exponents are increased by 4
Step-by-step explanation:
The first incorrect step occurred in Step 1, where all the exponents were increased by 4.
This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.
For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.
We multiply the exponents instead of adding them together.
Therefore, the correct Step 1 should multiply all the variables' exponents by 4.
Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.
Identify the number of solutions for the equation below:
Please please help please please ASAP
Answer:
A. 21 / 29
Step-by-step explanation:
with reference angle X
base (b) = 21
hypotenuse (h) = 29
Now
Cos X = b / h
= 21 / 29
Hope it will help :)
what is {1x+89x(8+29x)}{2x+89x(x+9)}
Answer:
229709x^4+2136000x^3+572539x^2
Step-by-step explanation:
Will mark brainliest
The office worker can stamp 25 letters per minute.
At that rate, how many letters can the worker stamp in 5 minutes?
5 letters
20 letters
100 letters
125 letters
Answer:
125 letters
Step-by-step explanation:
Hope this helps!
Heather works 40 hours a week and she earns $11.50 per hour. When Heather works over 40 hours, her pay is 1.5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?
Answer:
563.5
Step-by-step explanation:
it's pretty easy ngl
Answer:
563.5
Step-by-step explanation:
