Answer: 12 feet up
Step-by-step explanation:
This problem models a right triangle, in which the ladder is the hypotenuse and the distance away from the wall is one of the legs. Thus, you may use the Pythagorean Theorem (a^2 + b^2 = c^2)
[tex]a^2+b^2=c^2\\5^2+b^2=13^2\\25+b^2=169\\b^2=144\\b=12[/tex]
N.B. There are some very useful sets of numbers that can help you with this unit.
They are called Pythagorean triplets, and they are the sets of whole numbers that make right triangles. The important ones are 3, 4, 5, and 5, 12, 13 (And their multiples, like 6, 8, 10(3,4,5 *2))
Hope it helps :) and let me know if you want me to elaborate further.
rewrite 12/12 as a whole number
9514 1404 393
Answer:
1
Step-by-step explanation:
Any (non-zero) number divided by itself is 1.
_____
This is a fact that has many uses in problem solving and units conversion.
Umm how to do rates
The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.
Find one value of x for F(x)=-4
F(x) = -4 means y = -4. That means whatever the x is, the answer is going to be -4.
What is 11 divided by 1/4
PLEASE ANSWER ASAP (no links please)
Solve for the indicated variable
g/h = e - 10 for g
Answer:
g = he - 10h
Step-by-step explanation:
Multiplying polynomials
Steps are in the attachment.
________
Hope it helps :)) ⚜
how to do surface area
Answer:
Step-by-step explanation:
Multiply the length and width, or c and b to find their area. Multiply this measurement by two to account for both sides. Add the three separate measurements together. Because surface area is the total area of all of the faces of an object, the final step is to add all of the individually calculated areas together.
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
There are 30 marbles in a bag. Write an expression for the number of marbles in the bag when 5 marbles are added
Answer:
i will clear you.
Step-by-step explanation:
Given:-
Marbels we have =30
when we add marbels =5
Now,
or,30+5
10% of $70 = what is the answer i do not now it.
Answer:
10% 0f 70 is 7
Step-by-step explanation:
70÷10=7
10%=7
here is the other question
Answer:
1. -3 × A1 + A2 --> B2
2. [tex]-\frac{1}{7}[/tex] × B2 --> C2
Step-by-step explanation:
1. -3 × A1 + A2 --> B2
(4x × -3) + 12x = -12x + 5x = -7x
(2y × -3) + 6y = -6y + 6y = 0y
(-10 × -3) + -9 = 30 - 9 = 21
2. [tex]-\frac{1}{7}[/tex] × B2 --> C2
-7x × [tex]-\frac{1}{7}[/tex] = 1x
21 × [tex]-\frac{1}{7}[/tex] = -3
Same process as last time
Please help me answer this question!!!
Answer:
B
Step-by-step explanation:
<STR = <SRT Given the markings of the triangle
<STR + <STU = 180 Supplementary angles
(2x - 9) + 7x = 180 Remove the brackets
2x - 9 + 7x = 180 Combine
9x - 9 = 180 Add 9 to both sides
9x = 180 + 9 Combine
9x = 189 Divide by 9
9x/9 = 189/9
x = 21
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
I need help for these 5 questions
Answer:
1. 6²=36
2. 289[tex]\frac{1}{2}[/tex] = 17
3. [tex]14^{-2}[/tex] = [tex]\frac{1}{196}[/tex]
4. 10³=1000
5. [tex]5^{4}[/tex]=625
Step-by-step explanation:
Answer:
1. 6² = 36
2. 289^1/2 = 17
3. 14^-2 = 1/196
4. 10³ = 1000
5. 5⁴ = 625
Step-by-step explanation:
I just used the rule that logₓy = n means that xⁿ = y and a logarithm without a base, has a base of 10 (called a "common logarithm").
A company that bakes chocolate chip cookies averages 5.2 chocolate chips per cookie. Assume that the number of chocolate chips per cookie follows the Poisson distribution. What is the probability that a randomly selected cookie will contain two or more chocolate chips
Answer 12
Step-by-step explanation:
A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four units, and because each has identical packaging, the selection will be random. What is the probability that (a) all four units are good, (b) exactly two units are good, and (c) at least two units are good?
I hope that helped?
Help help help pelesss please
Answer:
its 1
Step-by-step explanation:
it literly says it on the grid and its really simple
Either enter exact answer in terms of pie or 3.14
Answer:
18 π ≈ 56.52
Step-by-step explanation:
The formula for the volume of a cylinder is V = π · r² · h.
This cylinder has a height (h) of 2 and a radius (r) of 3.
Therefore the volume is:
V = π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.
Five students share the writing of a term
paper evenly. If each person writes more
than six pages, how long is the paper?
Answer:
Over 30
Step-by-step explanation:
There is no definite answer if you don't know how many pages each person. All you have to do is multiply 5 by 6
Can some please help me I will mark u brilliant
Question 2: -4/3
Question 3: -7/20
Maya earned $225.oo at her job when she worked for 10 hours. What did she earn in one hour?
A number w increased by 6 is at most -30.
Could be -24 if you are raising the -30 by 6.
The Consumer Price Index (CPI), which measures the cost of a typical package of consumer goods, was 202.2 in 2011 and 244.6 in 2016. Let x = 11 correspond to the year 2011 and estimate the CPI in 2014 and 2015. Assume
that the data can be modeled by a straight line and that the trend continue indefinitely Use two data points to find such a line and then estimate the requested quantities
Answer:
y = 8.48x + 108.92227.64236.12Step-by-step explanation:
According to given we have (x, y) pairs:
(11, 202.2) and (16, 244.6)Work out the equation of the line.
Find the slope:
m = (244.6 - 202.2)/(16 - 11) = 8.48Find the y- intercept using one pair of coordinates:
202.2 = 8.48*11 + bb = 202.2 - 93.28b = 108.92The line is:
y = 8.48x + 108.92Find the value of y when x = 14 and x = 15:
y = 8.48*14 + 108.92 = 227.64y = 8.48*15 + 108.92 = 236.12Compute the integral Z Z Z U y dV , where U is the part of the ball of radius 2, centered at (0, 0, 0), that lies in the 1st octant. Recall that the first octant is the part of the 3d space where all three coordinates x, y, z are nonnegative. (Hint: You may use cylindrical or spherical coordinates for this computation, but note that the computation with cylindrical coordinates will involve a trigonometric substitution - so spherical cooridnates should be preferable.)
As the hint suggests, convert to spherical coordinates using
x = p cos(u) sin(v)
y = p sin(u) sin(v)
z = p cos(v)
dV = dx dy dz = p² sin(v) dp du dv
Then U is the set
[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]
and the integral of y over U is
[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]
[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]
[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]
[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]
[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]
We are flying at 30 000 feet.
Our speed is 500 miles per hour.
Our total flight time will be 10 hours and 20 minutes.
Mark knows the distance from London to Cancun is 4944 miles. He asks his daughter to check the information given by the pilot. She knows this formula for speed.
s = dt
s = speed (miles per hour) d = distance (miles)
t = time (hours)
Evaluate the information given by the pilot.
Show calculations to support your answer.
Answer:
Step-by-step explanation:
500 mph with a flight time of 10 hours and 20 minutes [(20 min)*(1 h/60 min) = 0.333 hr]
Distance = Speed * Time
Time = 10.333 hours
Distance = (500 miles/hr)*(10.333 hrs) = 5166.5 miles
The pilot's numbers indicate a distance of 5167 miles, compared to Mark's number of 4944 miles. That is a 4.3% reduction from the pilot's numbers. Not too bad, so we might question 1) Mark's knowledge, or 2) the impact that the approach and landing speeds have of the total miles flow.
My preference would be to trust the pilot's data. I don't know where Mark got his math education.
pls help with khan academy
Answer:
c
Step-by-step explanation:
because the rest are just way off
Answer:
The answer is C, bro
Step-by-step explanation:
hope this helped.
the probability that a tin of paint is dented is 0.07 out of 3000 tins of paint,how many would you expect to be dented?
Answer:
3000×0.07=210 tins
Step-by-step explanation:
210 tins
Step-by-step explanation:
3000÷100×0.07
=2.1
MARK ME BRAINLIEST PLS!!30. What is the solution to the system of equations?
3x + 3y - Z=1
Z=8
-X-3y + 2z = 13
A: (3, 0, 8)
B: (3, 0, -8)
C: (-3, 0,8)
D: (3, 2, 8)
Answer:
x = 3
y = 0
z = 8
Step-by-step explanation:
a) 3x + 3y - z = 1
b) z = 8
c) -x -3y + 2z = 13
a) 3x + 3y - 8 = 1 (substitution)
a) 3x + 3y = 9
c) - x - 3y + 2(8) = 13 (substitution)
c) -x - 3y + 16 = 13
c) -x - 3y = -3
(3x + 3y = 9) + (-x -3y = -3)
= 2x = 6
x = 3
a) 3(3) + 3y - 8 = 1
9 + 3y - 8 = 1
y = (1 -9 + 8)/3
y = 0
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 4 and b = 5. Use a calculator to estimate the
square root to one decimal place.
answer:
6.4
Step-by-step explanation:
4^2+5^2=c^2
16+25
square root of 41
c^2=6.4
in which system are the lines parallel ?
20. Assume that X has a normal distribution, and find the indicated probability
The mean is u - 60,0 and the standard deviation is o = 4.0,
Find the probability that X is less than 53.0.
0.9500
0.5580
0.0401
0.0002
Answer:0.5580
Step-by-step explanation:
which of the following does not require the use of chain rule to find dy/dx.
C. For each term in this expression, you can just apply the power rule.
[tex]y = 3x^2 - \sqrt x + \dfrac2x = 3x^2 - x^{\frac12} + 2x^{-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 2\cdot3x^{2-1} - \dfrac12 x^{\frac12-1} + (-1)\cdot2x^{-1-1}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac12 x^{-\frac12} - 2x^{-2}[/tex]
[tex]\implies \dfrac{dy}{dx} = 6x - \dfrac1{2\sqrt x} - \dfrac2{x^2}[/tex]
Every other choice involves composite functions that do require the chain rule to differentiate.
Option C : [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
The differentiation of [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] without using chain rule can be done as follows:
[tex]\begin{aligned}\dfrac{dy}{dx} &= \dfrac{d}{dx}(3x^2 - \sqrt{x} + \dfrac{2}{x})\\\\&= \dfrac{d}{dx}(3x^2 - x^{\frac{1}{2}} + 2x^{-1})\\&= 6x - (1/2)x^{-\frac{3}{2}} -2x^{-2}\\\end{aligned}[/tex]
The rest of the functions are composite, which means, that after differentiating them with some other base, you need to change the base and differentiate again, thus applying chain rule.
Thus, the function [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] can be differentiated without using chain rule.
Thus, option C: [tex]y = 3x^2 - \sqrt{x} + \dfrac{2}{x}\\[/tex] is correct option.
Learn more here:
https://brainly.com/question/5543508