Answer:
<A = 63degrees
Step-by-step explanation:
From triangle DEF;
<D + <E + <F = 180
87 + 30 + <F = 180
117 + <F = 180
<F = 180 - 117
<F = 63degrees
Since <A = <F based on similarities, then <A = 63degrees
There are 200 students in a particular graduate program at a state university. Of them, 110 are female and 125 are out-of-state students. Of the 110 females, 70 are out-of-state students. If two of these 200 students are selected at random, what is the probability that both of them are out-of-state students?
Find the area of the parallelogram in the figure below. Round your final answer to the nearest tenth.
16.8
D
23.2
23.2
12.4
B
In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.
Answer:
1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110
Step-by-step explanation:
its the answer
If F(x)= 3x-2 and G(x)= x^2+8, what is G(F(x))?
Answer:
(3x-2)^2+8= 9x^2-12x+12
Please answer my question correctly.
Nonsense/Plagiarized = Report
Find the perimeter or circumference and area of each figure. Round to the nearest tenth.
Solution:-The circumference of a circle with radius r is given by C = 2πr. The radius of the circle is 4 in.
Substitute 4 for r.
[tex]\sf{C=2πr}[/tex]
[tex]\sf{ \: \: \: \: =2π(4)}[/tex]
[tex]\sf{ \: \: \: \: ≈{\color{darkviolet}{25.1}}}[/tex]
Answer:-The circumference of the circle is about 25.1 in.
======================The area of a circle with radius r is given by A = πr².
Substitute 4 for r.
[tex]\sf{A = πr²}[/tex]
[tex]\sf{ \: \: \: \: = π(4)²}[/tex]
[tex]\sf{ \: \: \: \: ≈{\color{magenta}{50.3}}}[/tex]
Answer:-The area of the circle is about 50.3 in².
======================#Hope it helps!
(ノ^_^)ノ
plz help worth 50 points
Answer:
The answer is A
Step-by-step explanation:
Starting from -3 in the Y values of option A. If you subtract three from each value, you will get the next value to the right.
-3 minus -3 = -6-6 minus -6 = -9
Answer:
Someone already answered it but I won't let 50 points go to waste. !!!!!
Step-by-step explanation:
please answer the question first then explain
Answer:
Option A.
Step-by-step explanation:
If I have two variables b and c and a constant of 10. I can write that problem like this:
10b = c
For example, my factory today will make 20 books:
10×20 = c
$ 200 = c
Sam is proving the product property of logarithms.
Answer: c
Step-by-step explanation: edge 2021
29. In the 2010-2011 NBA regular season, the Los Angeles Lakers won 7 more than twice as many games as they lost. The Lakers played 82 games. How many wins and losses did the team have?
Answer:
Loss 25 Games & Win 57 Games
Step-by-step explanation:
According to question,we have
The Los Angeles Lakers won 7 more than twice as many games as they lost.
Assume Total Loss=L & Thus Total Win = 2L + 7Total Win + Total Loss = Total Games Played
2L + 7 + L = 82
3L = 82-7
3L = 75 ⇔ L = 25
Thus, Total Loss=25 Games & Thus Total Win = 57 Games
The endpoints of a diameter are (-3,4) and (5,-2). What is the center of the circle?
What is the perimeter of a triangle with the side lengths 4 cm, 6 cm, and (3y-2) cm?
Answer:
Step-by-step explanation:
P = 4 + 6 + (3y - 2) Remove the brackets
P = 10 + 3y - 2 Combine
P = 8 + 3y
Note 3y must be less than 8. That's because 2 sides of any triangle must be larger than the 3rd side or else you don't have a triangle.
Leila is arranging 11 cans of food in a row on a shelf. She has 4 cans of corn, 1 can of peas, and 6 cans of beets. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical.
Answer:
2310 ways
Step-by-step explanation:
We are given;
Number of cans = 11
Number of cans of corn = 4
Number of cans of peas = 1
Number of cans of beets = 6
Following the rule of combination and permutations and applying it to this question, we have;
Number of ways = 11!/(6! × 1! × 4!)
Number of ways = 2310 ways
What is the answer for this one
Answer: 2617 centimeters cubed
Step-by-step explanation:
The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]
The radius is half of the diamerter which will be 7 for this figure.
The height is marked 17
[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]
833π is about 2616.95
Rounded to the nearest whole number it is 2617
A cube has side length x.
another side is doubled. The volume
One side of the cube is increased by 4 inches, and
of the new rectangular prism is 450 cubic inches. The equation 2x3 + 8x2 450
can be used to find x. What was the
side length of the original cube? Use a graphing calculator and a system of equations to find the answer.
• 4 inches
• 5 inches
• 9 inches
• 10 inches
Step-by-step explanation:
The length of the original cube is 5 inches.
Which of the following phrases are expressions?
Answer:
C ,D , E just follow it . thank me later if its right
Answer:
E
Step-by-step explanation:
(10+7)(50+1)
=17×51
=867
ASAP please helppp
Answer:
1.3
Step-by-step explanation:
Raise/run = slope aka distance in this situation
8/6 = 1.3
Answer:
10 units
Step-by-step explanation:
use the distance formula as thought in school
l[tex]\lim_{n \to \0} \frac{sin x}{x}[/tex]
1
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}[/tex]
Let
[tex]f(x)= \sin x[/tex]
[tex]g(x)=x[/tex]
We are going to use L'Hopital's Rule here that states
[tex]\displaystyle \lim_{x \to c}\dfrac{f(x)}{g(x)}=\lim_{x \to c}\dfrac{f'(x)}{g'(x)}[/tex]
We know that
[tex]f'(x) = \cos x[/tex] and [tex]g'(x)=1[/tex]
so
[tex]\displaystyle \lim_{x \to 0}\dfrac{\sin x}{x}=\lim_{x \to 0}\dfrac{\cos x}{1}=1[/tex]
Solve (2x-1)^2=8 using the quadratic formula
Step-by-step explanation:
The given equation is :
[tex](2x-1)^2=8[/tex]
or
[tex](2x-1)=\sqrt{8}\\\\2x-1=\pm 2\sqrt2\\\\2x=\pm 2\sqrt2 +1\\\\x=\dfrac{2\sqrt2 +1}{2}\\\\x=\pm (\sqrt 2+\dfrac{1}{2})\\\\or\\\\x=\sqrt2+\dfrac{1}{2},-\sqrt2-\dfrac{1}{2}[/tex]
Hence, this is the required solution.
Factor the trinomial, or state that the trinomial is prime.
y2-9y+14
Please help
=====================================================
Explanation:
To factor this, we need to find two numbers that
A) multiply to 14 (last term)B) add to -9 (middle coefficient)Through trial and error, you would find that the two numbers are -2 and -7
-2*(-7) = 14
-2 + (-7) = -9
So that's why the given trinomial factors to (y-2)(y-7)
You can use the FOIL rule to go from (y-2)(y-7) back to y^2-9y+14 again.
TIME REMAINING
54:56
Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112.96 for 138 miles. Carl’s cost for his truck was $142.78 for 209 miles. Which equation can be used to represent the cost of the rental truck?
Round to the nearest hundredth if necessary.
y = 71 x minus 29.82
y = 25 x minus 66
y = 0.42 x + 71
y = 0.42 x + 55
Answer:
[tex]y = 0.42x+55[/tex]
Step-by-step explanation:
Given
Let:
[tex]x \to miles[/tex]
[tex]y \to amount[/tex]
[tex](x_1,y_1) = (138,112.96)[/tex] ---- Bobs'
[tex](x_2,y_2) = (209,142.78)[/tex] --- Carl
Required
The equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{142.78 - 112.96}{209 - 138}[/tex]
[tex]m = \frac{29.82}{71}[/tex]
[tex]m = 0.42[/tex]
The equation is calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
So, we have:
[tex]y = 0.42(x - 138) + 112.96[/tex]
[tex]y = 0.42x - 57.96 + 112.96[/tex]
[tex]y = 0.42x+55[/tex]
d. Pic
d. Z-a
PART II. ACTIVITIES
. Encircle the letter of the correct answer.
1. It contains two related data. It has horizontal axis and vertical axis.
a. Pie Graph
b. Bar Graph c. Line Graph
2. What do you call the horizontal axis of the line graph?
a. w-axis
b. x-axis
c. y-axis
3. What do you call the vertical axis of the line graph?
a. w-axis
b. x-axis
c. y-axis
4. Which of the following is not a step in making line graph?
a. Put a title on the line graph.
b. Connect the points with a line.
Draw the line for the x-axis and the z-axis.
d. Plot the points that correspond to each variable in the table,
5. It is shown just above the table or a line graph.
b. body
d. z-a
a, title
c. table
d. n
3. Directions: Study the line graph below. Encircle the letter of the corr
Which of the following represents the graph of f(x) = 4X – 2?
Answer:
The bottom one.
Step-by-step explanation:
Use I = PRT to solve.
Answer: 11%
Step-by-step explanation:
Since the formula for interest is:
I = PRT
where.
P = 1200
I = 99
T = 0.75
I = PRT
R = I/PT
R = 99/(1200 × 0.75)
R = 99/900
R = 11%
Therefore, the rate is 11%
Souta wants to compare the mean of his test scores in French class to the mean absolute deviation.
Language Test Scores
French Scores
76
62
94
80
He uses the steps below to find both the mean and mean absolute deviation.
French Scores
Step 1
Add the scores.
76 + 62 + 94 + 80 = 312
Step 2
Divide the sum of the scores by 4.
312 divided by 4 = 78
Step 3
Add the differences between the mean and each score.
(76 minus 78) + (62 minus 78) + (94 minus 78) + (80 minus 78) = 0
Step 4 Divide by 4.
StartFraction 0 over 4 EndFraction = 0
In which step did Souta make the first error?
Step 1
Step 2
Step 3
Step 4
What is the slope of the line?
Pls help
Answer: 3
Step-by-step explanation:
Pick 2 coordinates that are on the line, for example, (-2,0) and (-1,3)
Slope = Rise/Run = (3-0)/(-1-(-2)) = 3
Simplify the expression given below. x+2/4x^2+5x+1 * 4x+1/x^2-4
Answer:
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Step-by-step explanation:
[tex]\frac{x+2}{4x^2 + 5x + 1} \ \times \ \frac{4x+1}{x^2-4}\\\\=\frac{x+2}{4x^2 + 4x + x + 1} \ \times \ \frac{4x+1}{x^2-2^2}\\\\=\frac{x+2}{4x(x + 1) + 1( x + 1)} \ \times \ \frac{4x+1}{(x - 2)(x + 2)} \ \ \ \ \ \ \ \ [ \ (a^2 - b^2 = (a-b)(a+b) \ ]\\\\\\=\frac{x+2}{(4x + 1)(x+1)} \ \times \ \frac{4x+1}{(x-2)(x+2)}\\\\=\frac{1}{(x+1)} \ \times \ \frac{1}{(x-2)}\\\\= \frac{1}{(x+1)(x-2)}[/tex]
Answer:
D. 1/(x+1)(x-2)
Step-by-step explanation:
i looked it up on a simplifier :)
PLEASE HELP
What is the following product?
(6,1) (7, 2) (8, 2) (9, 1) is this a function
Answer:
Function
Step-by-step explanation:
This is a function
Each input goes to only one output
What is the domain of the square root function graphed below?
Answer:
Set the expression inside the square root greater than or equal to zero. We do this because only nonnegative numbers have a real square root, in other words, we can not take the square root of a negative number and get a real number, which means we have to use numbers that are greater than or equal to zero.
Step 2: Solve the equation found in step 1. Remember that when you are solving equations involving inequalities, if you multiply or divide by a negative number, you must reverse the direction of the inequality symbol.
Step 3: Write the answer using interval notation.
f(X)=X^3 + 4 X^2-10=0 (between X=1 , X=2) بطريقه ال Bisection method
please fast
I hope it's helpful for u but I am not sure my answer is right !