Answer:
d= s x t
=50km/h x 3h
= 150km/h
Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What length of segment A'B?
The length of segment A'B' from the triangle A'B'C' is 6 units.
Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
In the given triangle ABC, AB=3 units
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
2=Dimensions of the new shape/3
Dimensions of the new shape=6 units
Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.
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Help please thank uuuu
Answer:
B. x = 7; AB = 9, AC = 12
Step-by-step explanation:
12/4 = (x + 2)/(x - 4) (similar triangles theorem)
3 = (x + 2)/(x - 4)
Cross multiply
3(x - 4) = (x + 2)
3x - 12 = x + 2
Collect like terms
3x - x = 12 + 2
2x = 14
x = 14/2
x = 7
✔️AB = x + 2 = 7 + 2
AB = 9
✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)
AC = 9 + 3
AC = 12
Directions: Analyze carefully. Write T if the statement is true and write F if the statement is false.
1. Edge is the flat surface of a solid.
2. Rectangular prisms are solid figures which have 12 edges, 8 vertices and 6 rectangular
faces.
3. A cylinder is a solid figure which has 2 faces and 2 edges.
4. A cone has a flat surface.
5.
Apyramid has triangular faces.
Answer:
(1) F
(2) T
(3) F
(4) T
(5) T
Step-by-step explanation:
(1) False; The edge is not a flat surface but rather it is the point where two surfaces meet
(2) True; Rectangular prisms, also known as cuboids have the following properties.
[tex]Edges = 12\\ Vertices = 8\\ Faces = 6[/tex]
(3) False; A cylinder has 3 faces (2 flat faces and 1 curved face)
(4) True; A cone has 1 flat surface
(5) True; All pyramids have triangular faces
you sold brownies for $3 each.You sold 14 more this week than last week altogether. You made $84. how many brownies did you sell each week?
Answer: 8
Step-by-step explanation: Altogether you sold x last week, if you do x + 14 which is 2x12 brownies sold, then at 3$ each 3(2x+12)=84 so 6x + 36 = 84
84- 36 = 48/6 = 8
Select the correct answer.
Which formula gives the area of rectangle EFHG?
A. area = d × j
B. area = (e+h) × (d+l)
C. area = (e+h) × j
D. area = (e + h) × (f+C)
Write of the equation of a line that passes through (14,25)and(34,75)
:
1- in the point slope form,
2- in the slope -intercept form, and
3- in the standard form
Show all your steps.
Answer:
1. y-25=5/2(x-14)
2. [tex]y=\frac{5}{2}x-10[/tex]
3. 5x-2y=20
Step-by-step explanation:
first, find the slope, m.
slope = rise/run = (75-25)/(34-14)= 50/20 = 5/2
1. point slope form: y-25=5/2(x-14)
2. [tex]y=\frac{5}{2}x-10[/tex]
3. switch the y to the right side: (5/2)x-y-10=0 --> (5/2)x-y=10
5x-2y=20
Anyone know how to do this?
Answer:
38
Step-by-step explanation:
Yes frist you add 3x+8+62 = 5x+50
Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.
Using sampling concepts, it is found that the due to bias, the correct option is given by:
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Why is Rodell's sample biased?The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.
He surveys only athletes, hence, the correct option is:
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
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Answer:
The correct answer is (A):
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Step-by-step explanation:
I did the quiz and got it right. Hope this helps you!!!!!
A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief.
Required:
What is the correct test statistic for the hypothesis test?
Answer:
t= 64.2-63 / 2.9/ sqrt 40
Step-by-step explanation:
Got it right on AP Classroom
There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.
What is the null hypothesis?The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.
1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.
the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7
2. z = (variate - mean)/ (standard deviation/
Z = (64.2 - 63.7)/ (20/roots 45) =0.17
meaning there is
B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.
3. if the level of significance is 0.05 or between 0.05 and 0.01, i.e. the confidence level is 95% or between 95% and 99%, the results are considered to be probably significant, i.e. the results are probably correct,
Therefore, the alternative hypothesis is correct
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Write the percent as a decimal.
0.23
%
0.23
%equals
During week 1 of a recycling drive, the fifth grade class recycled 9
pounds of glass and 123 pounds of newspaper. During week 2, the
fifth grade class recycled 8 pounds of glass and 13 pounds of
newspaper. How many more pounds of newspaper than glass did
the class recycle?
Answer:
119 pounds
Step-by-step explanation:
Glass :
1) 9 pounds
2) 8 pounds
9 + 8 = 17 pounds
Newspaper
1) 123 pounds
2) 13 pounds
123 + 13 = 136 pounds
136 - 17 = 119 pounds
Express as a difference: a+5
The expression expressed as a difference is (a - 2) - (-7).
We have,
We can express a + 5 as a difference by subtracting a suitable term from it.
One way to do this is to subtract 2 and add 2, like this:
a + 5 = a + 5 - 2 + 2 (adding and subtracting 2)
= (a - 2) + 7 (rearranging)
Now,
We can express a + 5 as the difference between a - 2 and -7, like this:
a + 5 = (a - 2) - (-7)
Thus,
The expression expressed as a difference is (a - 2) - (-7).
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Which postulate proves the two
triangles are congruent?
Answer:
AAS
Step-by-step explanation:
because here it is given that two angle are
equal
and a side is common between both traingle
so, both traingle are congruent by
AAS
hope it helps
URGENT !!! ASAP I need this
25 point !!
You are purchasing "photo books as holiday gifts this year. As page
photo book costs $10.50 and a 10 page photo book costs $17.50. You have
a total of $203 to spend on holiday gifts. Write an equation to model the
situation. If you purchased 5 10 page books, how many 5 page books did
you buy?
Answer:
87.5 ( not the full answer)
Step-by-step explanation:
5 10 page books will be 17.50 X 5 and that would be 87.5
The rest is 87.5 X 10.50 until you get 203.
sorry couldn't help more.
If 12 + 6x is 20 more than 16, what is
the value of 12x?
Answer:
12x = 48
Step-by-step explanation:
Translating the word problem into an algebraic equation, we have;
12 + 6x = 16 + 20
12 + 6x = 36
6x = 36 - 12
6x = 24
x = 24/6
x = 4
To find 12x;
12x = 12 * 4 = 48
LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?
A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)
Answer:
B
Step-by-step explanation:
The new position of point P (h, k) will become P’ (k, -h).
Answer:
The answer above me is INORRECT!!! Look below!!!
Step-by-step explanation:
Add.
(6p + 5) + (2p + 7)
Answer:
=8p+12
Step-by-step explanation:
(6p+5)+(2p+7)
=6p+5+2p+7
=6p+2p+5+7
=8p+5+7
=8p+12
Answer:
8p + 12
Step-by-step explanation:
=> (6p + 5) + (2p + 7)
=> 6p +5 + 2p + 7
=> 8p + 12...ans
8increase by 3 times a number (t).
Answer:
8 + 3n
Step-by-step explanation:
Answer:
8 + 3t
Explanation:
what is the answer of 17x12
Answer:
204
Step-by-step explanation:
17x12=204
can someone tell me how to do this I keep getting 3.14 over x
Answer:
60.46%
Step-by-step explanation:
Question: On this dartboard, the circle with 1-m radius is inscribed in an equilateral triangle. Find the probability that a dart that hits the board lands in the circular region. Justify your answer.
Let's start by finding the length of one of the sides of the equilateral triangle. We can do this by creating a 30-60-90 triangle from the radius of the inscribed circle.
I attached an image of what this should look like.
Solving for the length of half of the base of the equilateral triangle gives us 1√3. To get the length of the entire base of the triangle, we will double this value:
s = 2√3The area of an equilateral triangle is [tex]\displaystyle A=\frac{s^2 \sqrt{3} }{4}[/tex].
We can substitute the known value of s (side length) into the formula and solve for A.
[tex]\displaystyle A_t=\frac{(2\sqrt{3})^2\cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=\frac{4(3) \cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=3\sqrt{3}[/tex]The area of the equilateral triangle is 3√3.
Now, let's solve for the area of the inscribed circle. The formula for the area of a circle is [tex]\displaystyle A= \pi r^2[/tex].
We know the radius of the circle is 1, so let's substitute 1 for r:
[tex]A_c= \pi (1)^2[/tex] [tex]A_c=\pi[/tex]The area of the inscribed circle is π.
To find the probability of the dart hitting a specific area on the dartboard, we will divide the desired area by the total area of the dartboard.
[tex]\displaystyle P=\frac{\text{Desired area}}{\text{Total area}}[/tex] [tex]\displaystyle P=\frac{\pi}{3\sqrt{3} }[/tex] [tex]\displaystyle P=\frac{\pi \sqrt{3} }{9}[/tex] [tex]P \approx 0.60459978[/tex]The probability that a dart that hits the board lands in the circular region is about 60.46%.
Which functions are nonlinear? Select TWO that apply.
A
y = -5
B
y
+1
х
0
1
2
y
-2
114
-6
-8
3
х
1
y
1
2
3
4.
Answer:
A,B
Step-by-step explanation:
I think bc I had the same question well something like this in A in B was it
evaluate 11P4 and 9C5
Help Urgent!
Answer options
The integer selected will be even.
The integer selected will be a multiple of 5.
The integer selected will be a multiple of 10.
The integer selected will be a multiple of 20.
Answer:
Step-by-step explanation:
There are 2 multiples of 20
There are 5 multiples of 10
There are 10 multiples of 5
There are 25 multiples of two (even)
So selecting an even integer is most likely.
What is the common denominator of 3 4 and 5 8
Answer:
its 8
Step-by-step explanation:
What is the sum of
5/13
11/13
and
10/13
Answer:
2
Step-by-step explanation:
5/13 + 11/13 + 10/13 = 26/13 = 2
Answer:
2
Step-by-step explanation:
5/13+11/13+10/13 is the same as
(5+11+10)/13
(16+10)/13
26/13
2
A
B
C
D
Or none of the above?
I need help??????????????
Answer:
20
Step-by-step explanation:
[tex]50*0.40=20[/tex]
Answer:
20 times at first base
Step-by-step explanation:
The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685
In 2008, the world record for swimming the 50 meter freestyle event was 21.34 seconds. Supposing the athlete swam at a constant rate what was his speed? Round your answer to the nearest hundredth m/s.
Answer:
Speed of swimmer = 2.34 m/s (Approx.,)
Step-by-step explanation:
Given:
Distance covered in world record swimming = 50 meters
Time taken by free style swimmer = 21.34 seconds
Find:
Speed of swimmer
Computation:
Speed = Distance / Time taken
So,
Speed of swimmer = Distance covered in world record swimming / Time taken by free style swimmer
Speed of swimmer = 50 / 21.34
Speed of swimmer = 2.34 m/s (Approx.,)
A fair Octahedral (eight-sided) die has the
following numbers on te's aces 2,3,1,2,13,11.
each time the die is thrown the score is the
humber on the top face if the die is thrown.
a Once, what is the probability that the scorce is
not 3
b twice, find the probability of scoring a sum
twice, find the probability of Scoring a sum
of 5
Answer:
30%
Step-by-step explanation:
Your chance of scoring a 5 is 30%