Answer:
Option (2)
Step-by-step explanation:
Volume of a prism A (preimage) = 27 cubic units
Factor of dilation of the sides of this prism (image) = [tex]\frac{1}{3}[/tex]
Volume scale factor of these prisms = [tex]\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]
Since, Volume scale factor = (Scale factor of dilation of the sides)³
= [tex](\frac{1}{3})^3[/tex]
= [tex]\frac{1}{9}[/tex]
Now from the formula of volume scale factor,
[tex]\frac{1}{9}=\frac{\text{Volume of image}}{\text{Volume of preimage}}[/tex]
[tex]\frac{1}{9}=\frac{\text{Volume of image}}{27}[/tex]
Volume of the image prism = [tex]\frac{27}{9}[/tex] = 3 cubic units
Therefore, Option (2) will be the answer.
Answer:
1 cubic unit
Step-by-step explanation:
Ratio and Proportion problem
Please help meh
Answer:
hope its helpful to uh.......
a vertical flag pole TAD is supported by two wires AB and AC, given that angle ABD=67°,AB =2 m and AC =2.5m . find the length of AD
Answer:
a) 1.84m
b) 42.53°
Step-by-step explanation:
First, look though the diagram provided by the question.
And use the formula: [tex]\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}[/tex]
Based on Additional Mathematics Form 4 (Dual Language Programme) KSSM from Malaysia
To find the length of AD
[tex]\frac{AD}{sin 67}=\frac{2}{sin 90}[/tex]
[tex]AD=\frac{2}{sin 90} * sin 67[/tex]
AD= 1.84 m
Find the angle C
[tex]\frac{sin 90}{2.5}=\frac{sin C}{1.84}[/tex]
sin C=[tex]\frac{sin 90}{2.5} * 1.84[/tex]
= 0.736
[tex]sin^{-1} (0.736)=47.39[/tex] degree
So, we have the value of AD and the value of angle C. Now , we can solve the the angle of CAD.
Same as the first question use the formula of sine rule and you will get the answer.
[tex]\frac{sin 90}{2.5}=\frac{sin ACD}{1.69}[/tex]
[tex]sinA = \frac{sin90}{2.5} * 1.69[/tex]
=0.676
=42.53°
So, the answer of the angle of CAD is 42.53°
Check the answer:
90°+47.39°+42.53°
=179.92°
=180°(rounded off)(Proved)
That is all from me. I hope you will understand my solution.
Which choice is the most efficient first step to solve this set of equations?
Answer:
x + 2x = 30 is the correct answer.
Is 540171 divisible by 9?
Image is attached below.
If the sum of the digits its divisible by 9,
then the original number is divisible by 9.
Since 18 (the sum of the digits) is divisible by 9,
the number 540,171 is also divisible by 9.
Answer:
Yes, The number is divisible by 9
Step-by-step explanation:
If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.
Hope this helps.
Find the P-value for the indicated hypothesis test. In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%. Group of answer choices
Answer:
0.5686
Step-by-step explanation:
The alternative hypothesis would be p ≠ 0.11. Thus, this is a two tailed test.
We are given;
p = 0.11
p^ = 8/88 = 1/11 = 0.0909
n = 88
Formula for the Test Statistic is given by;
z = (p^ - p)/(√(p(1-p)/n))
z = (0.0909 - 0.11)/(√(0.11(1 - 0.11)/88))
z = - 0.572642
z ≈ -0.57
Now, from the z-table to find the P-value at z = -0.57 is; 0.2843
Since this is a two tailed test, we have to multiply the P-value by 2 to get the total P-value.
Thus, P-value = 2 × 0.2843 = 0.5686
What is the area of the triangle in the diagram?
Answer:
I think the answer is B. Let me know if im right
Step-by-step explanation:
l*w*1/2 is the same as 1/2*y*(x2-x1)
Answer:
B
Step-by-step explanation:
To calculate the area of this triangle we must use vectors :
vector1 (x1-0,y1-0)⇒ vector1(x1,y1)vector2 (x2-0,y1-0)⇒vector(x2,y1)Now to calculte the area of this triangle we must apply this relation :
A= (1/2)*║x1y1-x2y2║
x2≥x1 so ⇒ A=(1/2)*(x2y1-x1y1)A= (1/2)*y1*(x2-x1)Each ferry in the Sydney Harbour has a capacity of 230 people. If there are 9 ferries in operation today, how many people could travel using this service today?
Answer:
2070
Step-by-step explanation:
Multiply 230 people by 9 ferries, if each ferry is used once.
A recipe calls for 3 cups of flour for every 8 ounces of water. How many cups of
flour are needed if the baker uses 96 ounces of water?
Answer:
you need 36cups of flour
Step-by-step explanation:
3 cups of flour = 8 ounces of water
x cups of flour = 96 ounces of water
96*3 =8x
288 =8x
288/8=36
x=36
Below is the work a student completed with an error. Identify the step where the error occurred and give the correct solution. Step 1:(12-20)-3(8-3)+13 Step 2:-8-24-9+13 Step 3:-32-9+13 Step 4:-41+13
Answer:
The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.
The perimeter of the rectangle above is:
Answer:
A. 8x² + 2y²
Step-by-step explanation:
There is a formula for the perimeter.
2l + 2w
2(4x²) + 2(y²)
8x² + 2y²
The perimeter of the rectangle is 8x² + 2y².
Help me!!!!!!! Plzzzz
Answer:
Option 3
Step-by-step explanation:
Tom, Kristen, Kaley, and Bill bought 333 granola bars to share among themselves. They divided each granola bar into 444 equal portions. Kristen ate 111 portion from each granola bar.
Answer:
Kristen had (3/4) of a granola bar in total.
Then the three other people have 2.25 granola bars to share amongst themselves.
Step-by-step explanation:
Complete Question
Tom, Kristen, Kaley, and Bill bought 3 granola bars to share among themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar.
How many granola bars did Kristen eat.
Solution
4 of them bought 3 granola bars.
Then they divide each granola bar into 4 equal portions.
Each of the 3 granola bars gets divided into 4 equal portions, where each granola bar now has (4 × 1/4) portions.
Each portion is (1/4) of a granola bar.
Kristen then takes 1 portion from the 3 granola bars.
This means she had 3 × (1/4) granola bars.
Kristen had (3/4) of a granola bar in total.
Then the other three people had [3 - (3/4)] of a granola bar to share amongst themselves. It means they had (9/4) or 2.25 granola bars to share amongst themselves.
Hope this Helps!!!
help i must get this correct i will make u brainllest
plzzz anyone
Answer:
22
Step-by-step explanation:
x-1 is a midsegment.
According to the Triangle midsegment theorem, x-1 is half of the third side (42)
x-1 = 42/2
x-1 = 21
x= 22
or
2x-2=42
2x=44
x=22
Hope this helps!
If you look at the top sides and bottom sides of both figures, this means that they are the same or similar.
In this figure, they are similar because one side is half of the other.
So... divide the longer length in half and solve for x.
42 / 2 = 21
x - 1 = 21
x - 1 + 1 = 21 + 1
x = 22
Therefore, the answer is C.
Best of Luck!
what is this answer 4\5+2\10
Answer:
1
Step-by-step explanation:
To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.
Answer:
1 or 10/10
Step-by-step explanation:
Step 1 make a common denominator
to make a common demoniator multiply the top and bottom number by the same number
so multiply the 4 and 5 by 2 to get 8/10
Step 2 now that you have 8/10 add it with 2/10
Step 3 solve to get 10/10 and then simplify it to 1
A regular four-sided die and a regular eight-sided die are rolled to form a sum. a) Determine the probability distribution for the sum of the two dice. Show Steps b) Create a frequency histogram for the probability distribution. c) Determine the expected sum of the two dice.
Answer:
4+8=12 so,if its 12 so
Step-by-step explanation:
the some will be 12
12-8=4
12-4=8
What’s 10 to the power of 10 A.100,000 B.10,000,000 or C.1,000,000,000
Answer:
10,000,000,000
hopefully this helped :3
Answer:
C.10,000,000,000
Step-by-step explanation:
Mandy and karissa swam laps in the pool to train for the upcoming swim meet. The ratio to the number of laps Mandy swam to the number of laps karissa swam was 2 to 3. If Mandy swam 12 laps, how many laps did karissa swim?
is (0,0) a solution to this system? y ≥ x^2-4 y<2x-1
Answer:
No.
Step-by-step explanation:
To determine if the ordered pair is a solution, simply plug it into the equation and check. In other words:
[tex]y\geq x^2-4[/tex]
[tex]0\geq (0)^2-4[/tex]
[tex]0\geq -4[/tex]
This is true. 0 is greater than -4.
[tex]y<2x-1[/tex]
[tex]0<2(0)-1[/tex]
[tex]0<-1[/tex]
This is not true. 0 is greater than -1.
Thus, (0,0) is not a solution.
Answer:
(0,0) is not a solution of the given system.
Step-by-step explanation:
0≥-4 true
0>1 false
(0,0) is not a solution of the system.
Need hep with this question
Answer:
V= -2000t + 20000
Step-by-step explanation:
Let m be the slope of our function :
m=(20000-16000)/(0-2)= -2000so our function is V= -2000t + b b is the intitial price so b = 20000then : V= -2000t + 20000Let's check :
take the second year : V= -2000*2 +20000 = 16000 that's true !PLEASE ANSWER THIS FAST IM BEGGING YOU A student worked the following problem: Solve: 2(10x + 3) − x = 44 Their work is shown below: Step 1: 20x + 6 − x = 44 Step 2: 19x + 6 = 44 Step 3: 19x = 38 Step 4: x = 2 Which of the following statements is correct? There is an error in Step 1. There is an error in Step 2. There is an error in Step 3. No errors were made. The problem was worked correctly.
Answer:
3. No errors were made. The problem was worked correctly.
Step-by-step explanation:
2(10x + 3) − x = 44
Distribute
20x +6 -x =44
Combine like terms
19x +6 = 44
Subtract 6 from each side
19x =38
Divide by 19
19x/19 =38/19
x =2
In the parallelogram below,
z = [ ?
Find the value of this expression if x = 3.
x2 + 3
Express your answer as a fraction or integer.
Enter the correct answer.
Answer:
9
Step-by-step explanation:
x2 + 3
(3)2 + 3
6 + 3
9
Answer:
12.
Step-by-step explanation:
x = 3; x^2 + 3.
(3)^2 + 3 = 3 * 3 + 3 = 9 + 3 = 12
Hope this helps!
Consider U = {xlx is a real number}.
A = {xlx € U and x + 2 > 10}
B = {x\x € U and 2x > 10}
Which pair of statements is true?
5 & A; 5 € B
6 € A; 6 & B
8 € A; 8 € B
9 € A; 9&B
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good
support for whether her claim is true or false?
O Her claim is true and she should use these data sets to provide support.
0
1 2
3 4
5 6
7 8 9 10 11
+
+
+
+
+
+
+
+
0
1
2
3
4
5
6
7
8
9 10 11
O
Her claim is true and she should use these data sets to provide support.
+
6
0
3
+
7
1
4
2
5
+ + +
9 10 11
8
Complete Question:
Madison claims that two data sets with the same median will have the same variability. Which data set would provide good support for whether her claim is true or false?
A. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 6.
B. Her claim is true and she should use these data sets to provide support. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. A line divides the box at 7.
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
D. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 5.5.
Answer:
C. Her claim is false and she should use these to show that two data sets with the same median can have different variability. A box-and-whisker plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 4 to 9. A line divides the box at 7. A box-and-whisker-plot. The number line goes from 0 to 11. The whiskers range from 2 to 11, and the box ranges from 5 to 8. a line divides the box at 7.
Step-by-step explanation:
The median of a box plot is indicated by the line that divides the rectangular box into 2.
Also, the interquartile range is a measure of variability. And this is indicated or represented on a box plot by the range of the box. That is the difference between one end of the box and the beginning of the other end to our left.
The data set that can be used to show that Madison claim is false is a data set showing 2 box plots with the same median value but different interquartile range.
Therefore, C is the right option. Both data set in the drop box would have a median of 7. The interquartile range of one of the drop box would be = 9-4 = 5, while the other would be = 8-5 = 3.
This shows 2 data set with the same median can have different variability.
how many solutions do y=3x-4 y=-2x+7
Answer:
One.
Step-by-step explanation:
It is a linear equation. This means that x is raised to the first power, which there can only be one solution.
Answer:
Hi, the correct answer to your question is Y,X would be (29,11)
ONE SOLUTION
Step-by-step explanation:
First you have to... solve for y
Y equals 2x+7
Next you have to use the variable y and put in into an equation.
2x+7 - 3x = -4 (Also) :) - x = -11
Now you have to solve the equation for the variable x
Which will be 11 (x will be 11)
Finally you have to use x to solve for y
2(11)+7 = 29
Now we have 11 and 29 so the answer to your question will be
= (29,11)
Also this means it has one solution
Btw this is a linear equation...
Hope this helps you! :)
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the
cylinder. If the height of the cylinder is 32 inches, what is the approximate volume of
the sphere?
A 2,7317 cu in.
B 4,0961 cu in.
C 8,192n cu in.
D 5,4611 cu in.
Answer:
Step-by-step explanation:
we khow that the height of the cylinder is 32 inches
divide it by 2 to get the radius 32/2= 16
let V be the volume :
V= (4/3)*16³*π = 17157.28 in³ this really close to the volume of this sphereThe volume of the sphere will be 5461.3 π cubic inches. Then the correct option is D.
What is the volume of the sphere?Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
A sphere fits perfectly into the cylinder as shown, touching the top and bottom of the cylinder.
If the height of the cylinder is 32 inches.
The height of the cylinder and sphere are same.
Then the radius of the sphere will be
r = 32 / 2
r = 16 inches
Then the volume of the sphere will be
V = 4/3 π(16)³ cubic units
V = 5461.3 π cubic inches
Then the correct option is D.
More about the volume of the sphere link is given below.
https://brainly.com/question/9994313
#SPJ2
please help ! what’s the correct answer ??
maria claims that any fraction located between 1/5 and 1/7 on a number line must have a denominator of 6. Enter a fraction that shows marias claim is incorrect. Choose an answer: a: 6/35 b: 13/70 c: 9/35 d: 16/70
I want to make this clear, this is NOT MY ANSWER! Someone else has already answered this question on here I'm just pasting their answer here so you can get the full details on how it was solved.
We know that 1/5 > 1/6 > 1/7
If we change the numbers to decimals we can see what decimals we can use that are between the number 1/5 and 1/7 .
1/5=.20
1/7≈.14
We can use any number between these two decimals to create a fraction. Let us use .16
.20>.16>.14
Now we can change that number to a fraction.
.16=16/100 which reduced to 4/25
Let's verify:
1/5 > 4/25 > 1/7 find LCM
35/175 > 28/175 > 25/175
One fraction that is between 1/5 and 1/7 that does not have a denominator of 6 is 4/25.
Trapezoid ABCD is rotated 180 degrees about the origin and then reflected over the x-axis, followed by a reflection over the y-axis. What is the location of point A after the transformations are complete?
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
Given the coordinate of the trapezoid at A(-5, 1), B(-4, 3), C(-1, 3) and D(-2, 1).
The location of point A is at (-5, 1) which is the second quadrant, when it is rotated 180 degrees about the origin, the point moves to the fourth quadrant and the new point is at (5, -1). If it is then reflected over the x axis, the x coordinate remain the same and the sign of the y coordinate changes making the new point (5, 1). If it is then reflected over the y axis, the y coordinate remain the same and the sign of the x coordinate changes making the new point (-5, 1).
the location of point A after the transformations are complete is (-5, 1)
Answer:
the location of point A after the transformations are complete is (-5, 1)
Step-by-step explanation:
FUNCTIONS HELP ME ASAP
Hey there! :)
Answer:
f(-2) = 2.
Step-by-step explanation:
To find f(-2), we simply need to look at the y value at x = -2.
At x = -2, the y value is equal to 2.
Therefore:
f(-2) = 2.
Answer: b)2
Step-by-step explanation:
Visually, when x = -2, y = 2