Answers
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
Related Questions
Evaluate each limit given that lim f(x) =1/3 and lim g(x)=2/3
Answers
Answer: 2,1 & 2
Step-by-step explanation:
[tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)] = \frac{-1}{3}[/tex], [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]
What is Limit?"A limit is the value that a function (or sequence) "approaches" as the input (or index) "approaches" some value."
We have Limit functions
[tex]\lim_{x \to c} f(x)[/tex] [tex]= \frac{1}{3}[/tex]
[tex]\lim_{x \to c} g(x)[/tex] = [tex]\frac{2}{3}[/tex]
(i) [tex]\lim_{x \to c} [3g(x)] = 3 \lim_{x \to c} [g(x)][/tex]
= [tex]3[/tex] × [tex]\frac{2}{3}[/tex]
= 2
(ii) [tex]\lim_{x \to c}[f(x)+g(x)][/tex]
= [tex]\lim_{x \to c} f(x)+ \lim_{x \to c} g(x)[/tex]
= [tex]\frac{1}{3}-\frac{2}{3}[/tex]
= [tex]\frac{1-2}{3}[/tex]
= [tex]\frac{-1}{3}[/tex]
(iii) [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ][/tex]
= [tex]\frac{\lim_{x \to c} f(x)}{\lim_{x \to c} g(x)}[/tex]
= [tex]\frac{\frac{1}{3} }{\frac{2}{3} }[/tex]
= [tex]\frac{1}{2}[/tex]
∴ [tex]\lim_{x \to c}[3g(x)][/tex] = 2, [tex]\lim_{x \to c}[f(x)+g(x)][/tex] = [tex]\frac{-1}{3}[/tex] , [tex]\lim_{x \to c}[\frac{f(x)}{g(x)} ] = \frac{1}{2}[/tex]
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Rayann has 4 bracelets, Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?
A balance diagram going from 1 to 9. 1 circle is above 3, 4, 5, and 8.
4
5
6
7
Answers
Answer:
they will each get 45 bracelets
Step-by-step explanation:
add all the bracelets then divide by the number of girls
Answer:
B= 5
Step-by-step explanation:
took the test
Two window washers, Tori and Nathan, lean a ladder against the side of a building so that Tori can wash a window while Nathan holds the ladder. The top of the ladder reaches the window, which is 12 feet off the ground. The base of the ladder is 5 feet away from the building. How long is the ladder?
Answers
Answer:
13 feet
Step-by-step explanation:
This is a right triangle problem
Use the Pythagorean Theorem
c² = a² + b²
c² = 12² + 5²
c² = 144 + 25
c² = 169
Take the square root of both sides
c = 13
Q.Jason has 3 red pencils and 6 yellow pencils. Which statement is true?
•The number of red pencils is 1/2 times the number of yellow pencils
•The number of red pencils is 2 times the number of yellow pencils
•The number of yellow pencils is 1/2 times the number of red pencils
•The number of red pencils is 3 more than the number of yellow pencils
Answers
Answer:
The number of red pencils is 2 times the number of yellow pencils
Mike drinks 2/5 of a litre of juice each day.Juice costs £4.40 for a 2 litre carton and £2.60 for a 1 litre carton.Mike buys enough juice to last for 7 days.What is the lowest price Mike can pay for this juice?Show how you decide.
Answers
[3 x 2⁵ + 13 × (-2)] +7[8-(4-9)]
Answers
Find the midpoint of line segment
Answers
Step-by-step explanation:
[tex]midpoint = ( \frac{4.9 + - 5.2}{2} , \: \frac{ - 1.3 + - 0.6}{2} ) \\ = ( - 0.15, \: - 0.95)[/tex]
help me it’s more but i can’t post it
Answers
Answer:
( 2 x + 1 ) ( 3 x + 2)
Step-by-step explanation:
srry, i could only do the first one-
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answers
Answer:
b, c , a
Step-by-step explanation:
I am guessing
Answer:
B, C, D
Step-by-step explanation:
Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The three most popular items in Cuba are denim jeans, CD players, and CDs of U.S. rock groups. The weight and profit (in U.S. dollars) of each item are as follows:
Item Weight (lb.) Profit
Denim jeans 2.1 $40
CD players 3.2 48
Compact discs 0.8 16
uan wants to determine the combination of items he should pack in his duffel bag to maximize his profit. This problem is an example of a type of integer programming problem known as a "knapsack" problem. Formulate and solve the problem.
Answers
Answer:
z (max) = 96
x₁ = 2
x₂ = 0
x₃ = 1
Step-by-step explanation:
Fromproblem statement:
weight (lb) . Profit $
Denim jeans 2.1 40
CD players 3.2 48
Compact Discs 0.8 16
Objective Function z is:
z = 40*x₁ + 48*x₂ + 16*x₃ to maximize
Subject to:
Weight constrain: 5 lb
2.1*x₁ + 3.2*x₂ + 0.8*x₃
x₁≥ 0 x₂ ≥ 0 x₃ ≥ 0 All integers
Using AtomZmath on-line solver and after 2 iterations
Solution:
z (max) = 96
x₁ = 2
x₂ = 0
x₃ = 1
The maximized profit is the highest profit Juan can get by selling his items.
The maximized profit is $96
Let x represents the Denim jeans, y represents the CD players and z represent the compact discs.
So, we have the following parameters
Weights
[tex]x = 2.1[/tex]
[tex]y = 3.2[/tex]
[tex]z = 0.8[/tex]
The weight cannot exceed 5 pounds.
So, the constraint is
[tex]2.1x + 3.2y + 0.8z \le 5[/tex]
The profit is given as:
[tex]x = 40[/tex]
[tex]y = 48[/tex]
[tex]z = 16[/tex]
So, the objective function to maximize is
[tex]Max\ Z = 40x + 48y + 16z[/tex]
The integer programming model is then represented as:
[tex]Max\ Z = 40x + 48y + 16z[/tex]
Subject to:
[tex]2.1x + 3.2y + 0.8z \le 5[/tex]
[tex]x,y,z \ge 0[/tex]
Using a graphing calculator, the values that maximize the objective function are:
[tex]x = 2[/tex]
[tex]y = 0[/tex]
[tex]z = 1[/tex]
Substitute these values in the objective function
[tex]Max\ Z = 40x + 48y + 16z[/tex]
[tex]Z = 40 \times 2 + 48 \times 0 + 16 \times 1[/tex]
[tex]Z = 80 + 0 + 16[/tex]
[tex]Z = 96[/tex]
Hence, the maximized profit is $96
Read more about integer programming at:
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Plz help I've been crying about this question about number 8 plz help with number 8 I'll give brainiest.
Answers
Answer: I got ~17% (It's 17% as the problem asked for the answer to be rounded)
Step-by-step explanation:
I added the 12 possible chances from the spinner with the 6 sided die chances. This gets me 18. Since the problem is asking the probability of rolling an 8 or 10 alongside a 3, I did 3/18 and got 16.66% (repeating). I'm not entirely sure if I did this right, but I hope this helped somehow. Let me know if it's not the correct answer.
What is −y+9z−16y−25z+4 written in simplest form?
Answers
Answer:
[tex] - 17y−16z+4[/tex]
Step-by-step explanation:
[tex] - y+9z−16y−25z+4[/tex]
[tex] - 17y+9z−25z+4[/tex]
[tex] - 17y−16z+4[/tex]
Hope it is helpful....Please help me please is it 2 or 4
Answers
Answer:
its 4
Step-by-step explanation:
Select the correct answer. Simplify the following expression. 3^2/5 * 3^-7/5
Answers
Answer:
1/6075
Step-by-step explanation:
Chris drops an egg with a parachute from the top of a building. The height, h, in feet, of the egg above the ground after t seconds is given
by h (t) = 100 - 16t2
After how many seconds does the egg hit the ground?
I
Answers
Answer:
The egg hits the ground after 2.5 seconds.
Step-by-step explanation:
Height of the egg:
The height of the egg after t seconds is given by:
[tex]h(t) = 100 - 16t^2[/tex]
After how many seconds does the egg hit the ground?
This is t for which [tex]h(t) = 0[/tex]. So
[tex]h(t) = 100 - 16t^2[/tex]
[tex]16t^2 - 100 = 0[/tex]
[tex]16t^2 = 100[/tex]
[tex]t^2 = \frac{100}{16}[/tex]
[tex]t = \sqrt{\frac{100}{16}}[/tex]
[tex]t = \frac{10}{4}[/tex]
[tex]t = 2.5[/tex]
The egg hits the ground after 2.5 seconds.
1
32. A friend plans to purchase a mattress that sells for $1200 at a particular store. The store
is offering 15% off any one mattress. He also has an internet coupon for an additional
10% off any discounted price. How much will your friend save (a) in dollar amount and
(b) in percent
Answers
Answer:
(A) Your friend will save $282.
(B) Your friend will get 23.5% off the original price of the mattress.
Step-by-step explanation:
We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.
1,200 x 15% -----> 1,200 x 0.15= 180.
15% of $1,200 is $180.
Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.
1,020 x 10% ------> 1,020 x 0.10= 102.
10% of $1,020 is $102.
Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.
We subtract to see how much money the friend saved.
$1,200 - $918= $282.
We can get the percentage by dividing $282 by $1,200.
282 / 1200= 0.235 decimal form ----> 23.5%
The heights of 4 different people are: 1.55m, 1.52m, 1.81m, and 1.91m. The range of these
heights is:
Answers
What is the equation of a circle with center (-2,3) and radius 4?
A. (x + 2)^2 +(y-3)^2 = 4
B. (x-2)^2 +(y +3)^2= 16
C. (x + 2)^2 + (y - 3)^2 = 16
D. (x+2)^2- (y - 3)^2 - 16
Answers
Miguel makes bags. He can make 8 bags with 2 yards of fabric. Write an equation to represent the yards of
fabric, x, needed to make a certain numbers of bags, y.
Answers
2yrds/8= 9 inches
9 inches are needed to make 1 bag
:)
The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given,
2 yards of fabric for 8 bags,
y/x = 8/2 = 4
y = 4x
Hence "The equation represents the yards of fabric, x, needed to make a certain number of bags, y will be y = 4x".
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Consider the function.
f(x)=2 1/2 - 3 1/3
What is the x-intercept of f-1(x)?
o (-3 1/3,0)
o (-3/10,0)
o (3/4,0)
o (2 1/2,0)
Answers
Answer:
Option 4
Step-by-step explanation:
Given function is,
[tex]f(x)=2\frac{1}{2}-3\frac{1}{3}x[/tex]
Steps to get the inverse of the given function,
Step 1,
Convert the function into equation,
[tex]y=2\frac{1}{2}-3\frac{1}{3}x[/tex]
Step 2,
Interchange the variables 'x' and 'y',
[tex]x=2\frac{1}{2}-3\frac{1}{3}y[/tex]
Step 3,
Solve the equation for the value of y,
[tex]x-2\frac{1}{2}=-3\frac{1}{3}y[/tex]
[tex]x-\frac{5}{2}=-\frac{10}{3}y[/tex]
[tex]-x+\frac{5}{2}=\frac{10}{3}y[/tex]
[tex]-3x+\frac{15}{2}=10y[/tex]
[tex]-\frac{3}{10}x+\frac{15}{20}=y[/tex]
[tex]y=-\frac{3}{10}x+\frac{3}{4}[/tex]
Step 4,
Convert the equation into inverse function,
[tex]f^{-1}x=-\frac{3}{10}x+\frac{3}{4}[/tex]
For x-intercepts,
Substitute y = 0,
[tex]0=-\frac{3}{10}x+\frac{3}{4}[/tex]
[tex]\frac{3}{10}x=\frac{3}{4}[/tex]
[tex]x=\frac{10}{4}[/tex]
[tex]x=\frac{5}{2}[/tex]
[tex]x=2\frac{1}{2}[/tex]
Therefore, x-intercept of the inverse function is [tex](2\frac{1}{2},0)[/tex].
Option 4 will be the answer.
Which BEST describes the system of equations graphed on a coordinate plane?
A) Consistent
B) Inconsistent
C) Consistent and Dependent
D) Consistent and Independent
Answers
Answer:
D) Consistent and Independent
Answer:
D.consistent and independent
Please help me!!! I'm being timed right now do please help me!!!
Answers
Answer:
The answer would be 2. Which means that your answer would be option 1 I believe.
Step-by-step explanation:
Please help ill give u brainliest!!!
Answers
.........................................
Answer:
221mile per day
Step-by-step explanation:
Mean=total distance her car traveled/days
11477-10150=1327
1327/6=221.167≈221mi
Mrs. Simpson is frosting circular sugar cookies. Each cookie is 6 cm in diameter. About how many square centimeters will she need to frost each cookie?
Answers
Answer:
9 pi
Step-by-step explanation:
Answer:
28.274 cm^2 (remember units are important)
Step-by-step explanation:
The answer is the area of the cookie. The area of the cookie (neglecting its thickness) is:
A = pi(r^2)
here the radius is 1/2 the diameter of 6 cm:
A = 3.14159 * 3^2 or A = 3.14159* 9 = 28.274 cm^2
What is the area help fast
Answers
Answer:
142.5 cm2
Step-by-step explanation:
The small markings create a new height, so that would be 9.5 cm.
Multiply:
9.5x15=142.5
Therefore, the area is 142.5 cm2
in a class of students, the following data table summarizes how many students play an instrument or squirt. What is the probability that a student who plays this for also plays an instrument?
Answers
Answer:
Step-by-step explanation:
What's a squirt? Did you mean sport for the word for?
So there are 15 separate students in all who play a sport and an instrument. There are 4 more that play an instrument, but not a sport.
There are 8 that that do not play an instrument including 2 that don't do either.
So the total is 15 + 4 + 8 = 27
My best guess is that 15 out of 27
P(sport and instrument) = 15 /27 = 5/9 or 0.556
Tessellations
Determine whether the given figure tessellates the plane.
a. yes
b. no
Please select the best answer from the choices provided
Answers
Answer:
B. No
Step-by-step explanation:
I calculated it logically
Please answer the question correctly with factual information for brainliest.
Answers
Find the surface area of a triangular pyramid.
Answers
Answer:
91in^2
Step-by-step explanation:
SA of base = 7x7 = 49in^2
SA of each triangle = 1/2 x 7 x 3 = 10.5in^2
SA of all 4 triangles = 10.5 x 4 = 42in^2
SA Total = 49 + 42.= 91inch^2
Does a compromised account on Instamean your banned for a few days????? Yes or no?
Answer ASAP
Answers
Answer:
Not necessarily
Step-by-step explanation:
Not necessarily. Compromised accounts tend to happen for one of two reasons. The first is that the system detects and overdose of activity on your account meaning your are spamming likes, shares, etc on the account. The second is due to unauthorized access or suspicious activity. Both of these can either cause a temporary ban on your account that lasts for a 24 hours or a deactivation of the account. To reactivate your account you will need to login, and reactivate it in the settings, which may ask you to reset your login information.