Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.
Can someone help me? I am stuck on this question I would mean the world if u helped me! and tysm for the people who helped me!
hi can anyone please help me with number 10
Answer: (1.5, 1.2) are the coordinates and the distance is 4 graph across the paper.
Step-by-step explanation:
If you reflect it across the x-axis you get two positives and no negative becouse in a graph paper there are four diffrent groups your nswer is on the top right side.
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
To learn more about rotation click :
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4x ^ 2 + 300 = 1, 596 help solve for the x please show work I will mark brainliest
Answer:
x=18 OR x=-18
Step-by-step explanation:
[tex]4x^2=1296\\x^2=324\\x=+-sqrt(234)\\x=18 OR x=-18[/tex]
PLEASE HELP!!!!!Find the equation of each line and then put each equation into the form Ax+By=C where A,B, and C are integers
through(-3,2) and parallel to the line joining (2,3) and (1,-2)
Answer:
y-5x-7=0
Step-by-step explanation:
m = -2-3/1-2
m=5
y-y1 = m(x-x1)
y-2=5(x+3)
y-2=5x +5
y-5x-7=0
11. Multi-Step Ben gets on a bus at
Main Street at 10:13 A.N. The bus
arrives at Elm Street at 10:27 A.M. It
waits for 10 minutes. Then it arrives
at Broadway at 10:50 A.M. How long
is Ben on the bus if he rides from
Main Street to Broadway?
Answer:
41 minutes
Step-by-step explanation:
14+10+17= 41 minutes
Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.
Answer:
The proportion of arriving customers that get taxis is:
= 33%.
Step-by-step explanation:
Rate of arrival of taxis = 1 per minute
In one hour, the number of taxis arriving = 60 (60/1)
Rate of arrival of customers = 3 per minute
In one hour, the number of customers arriving = 180 (60 * 3)
The proportion of arriving customers that get taxis = 60/180
= 0.333
= 33%
b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive. Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.
SIMPLE QUESTION! Multiply 3x^2(5x^3)
Answer:
15x^5
Step-by-step explanation:
That's the answer I got im pretty sure it correct
a line has a slope of 9/5 if one of the points on the line is (-10, -16), which of the following could be another point on the line?
Answer:
(0,2) is the answer - Option C.
Step-by-step explanation:
Equation of a line:
The equation of a line, in point-slope form, is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which m is the slope and the point is [tex](x_0,y_0)[/tex]
Slope of 9/5 if one of the points on the line is (-10, -16)
This means that [tex]m = \frac{9}{5}, (x_0,y_0) = (-10,-16)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - (-16) = \frac{9}{5}(x - (-10))[/tex]
[tex]y + 16 = \frac{9}{5}(x + 10)[/tex]
Which of the following could be another point on the line?
We have to find a point for values of x and y which gives us an identity. So
Option A:
x = -5, y = -6
Lets see
[tex]-6 + 16 = \frac{9}{5}(-5+10)[/tex]
[tex]10 = \frac{9*5}{5}[/tex]
[tex]10 = 9[/tex] -> False
So this is not the answer.
Option B:
x = 4, y = 11
[tex]11 + 16 = \frac{9}{5}(4 + 10)[/tex]
[tex]27 = 9*14/5[/tex]
False
Option C:
x = 0, y = 2
[tex]2 + 16 = \frac{9}{5}(x+10)[/tex]
[tex]\frac{90}{5} = 18[/tex]
[tex]18 = 18[/tex]
True, so (0,2) is the answer - Option C.
if the length of segment A'B' is 12 units, what is the scale factor of the dilation?
Answer:
if the length of segment A'B' is 12 units, what is the scale factor of the dilation?
Step-by-step explanation:
There are 9 cherry trees in Edgar's orchard, and he wants to plant more. It takes him an hour to plant each tree.
Let h represent the number of hours Edgar spent planting and c represent the total number of cherry trees he will have.
1: 1
3: 4
5: 9
7: 16
sorry if this doesn't make sense if it does i hope it helped:)
Researchers investigated whether providing a fancy, foil-wrapped piece of chocolate with the dinner bill would lead to higher tips than not providing such a treat. Sixty-four dinner parties at a restaurant in Ithaca, NY were randomly assigned to receive such a piece of chocolate or not with their dinner bill. Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%. Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%. Determine a 96% confidence interval for the size of the difference in average tips between the two groups
Answer:
The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means while the standard deciation is the square root of the sum of the variances.
Of the 32 parties who received the chocolate, the average tip (as a percentage of the bill) was 17.84%, with a standard deviation of 3.06%.
This means that:
[tex]\mu_{C} = 17.84, s_{C} = \frac{3.06}{\sqrt{32}} = 0.541[/tex]
Of the 32 parties who did not receive the chocolate, the average tip (as a percentage of the bill) was 15.06%, with a standard deviation of 1.89%.
This means that:
[tex]\mu_{NC} = 15.06, s_{NC} = \frac{1.89}{\sqrt{32}} = 0.3341[/tex]
Difference in average tips
The distribution has mean:
[tex]\mu = \mu_{C} - \mu_{NC} = 17.84 - 15.06 = 2.78[/tex]
Standard deviation:
[tex]s = \sqrt{s_{C}^2 + s_{NC}^2} = \sqrt{0.541^2 + 0.3341^2} = 0.6358[/tex]
96% confidence interval
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = zs[/tex]
[tex]M = 2.054*0.6358 = 1.31[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 2.78% - 1.31% = 1.47%
The upper end of the interval is the sample mean added to M. So it is 2.78% + 1.31% = 4.09%
The 96% confidence interval for the size of the difference in average tips between the two groups is (1.47%, 4.09%).
Would appreciate the help
Answer:
x = 13
Step-by-step explanation:
Hope it helps you!........
Answer:
Hey!
Here, you can use the Pythagoras theorem:-
[tex]Hypotenuse^{2} = base^{2} +altitude^{2}[/tex]
Hypotenuse is x
Altitude is 12 cm.
Base is 5 cm.
Substituting the given values in the Pythagoras equation:-
[tex]x^{2} = 5^{2} +12^{2}[/tex]
[tex]x^{2} = 25 + 144[/tex]
[tex]x = \sqrt{25+144}[/tex]
[tex]x= \sqrt{169}[/tex]
x = 13cm(PLEASE ANSWER FAST)
Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?
(PLEASE ANSWER FAST)
Answer: yx (4)(12) / 8
Step-by-step explanation:
Answer:
1. What is an inverse proportion equation that represents this situation?
y=48/k
2. How many crackers will each person get if 8 people are sharing the crackers?
6 crackers
Step-by-step explanation:
1. What is an inverse proportion equation that represents this situation?
The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.
When there are 4 people, each person gets 12 crackers:
y=k/x
12=k/4
48=k
Therefore, our equation is y=48/x
2. How many crackers will each person get if 8 people are sharing the crackers?
y=48/x, where y is the number of cracker and x is the number of people.
y=48/8
y=6
5) True or False: Absolute Value can never be negative * O True False
Answer:
True
Step-by-step explanation:
Absolute value tells the distance a number is from 0.
[tex]|7|=7[/tex] because 7 is 7 units away from 0.
[tex]|-13|=13[/tex] because -13 is 13 units away from 0.
[tex]|0|=0[/tex] because 0 is 0 units away from 0
Absolute value always produces a number greater than or equal to 0, never negative.
A play was attended by 348 people,some adults and some children. Admissions for adults was $1.50 and for children 75 cents. The total amount collected was $390. How many adults attended the play?
Answer:
172
Step-by-step explanation:
Let adults be x
and children be y
According to the problem,
x + y = 348 . . . (1)
1.5x + 0.75y = $390. . . (2)
From Eq 1, find the value of x:
x = 348 - y
Put this value in Eq 2:
1.5 ( 348 - y ) + 0.75y = 390
522 - 1.5y + 0.75 y = 390
-1.5y + 0.75y = 390 - 522
-0.75y = -132
y= -132/-0.75
y = 176
Put the value of y in Eq 1
x + 176 = 348
x = 348 -1 176
x = 172
No. of children = 176
No. of adults = 172
1/4-1/20 in simplest form
Answer:
1/5
Step-by-step explanation:
Answer: 1/5
Step-by-step explanation:
PLEASE HELP- ITS URGENT-
Answer:
x = 20°
Step-by-step explanation:
here's your solution
=>. we know that, sum of two opposite interior angle is equal to one exterior
=> (3x)° + (3x -20)° = (7x - 40)°
=> 6x - 20° = 7x - 40
=> - x = - 20
=> x = 20
hope it helps
Answer:
20°
Step-by-step explanation:
C.20 is the correct answer.
Which type of graph would you choose to show the number of home runs hit by each player compared to the team
total?
histogram
line graph
bar graph
circle graph
Answer:
circle graph
Step-by-step explanation:
Answer:
BAR GRAPH
Step-by-step explanation:
Ms. jones wants to take her students for all of her classes on a field trip to see a Broadway production. There are three shows to choose from. She wants to determine which show students would like to see. which sample would be the most appropriate for this survey?
A: Every fifth student that enters her classroom
B: Her Honors class
C: 5 boys in each of her class
D: At the end of the day, ask teachers what they think student will like
Answer:
A
Step-by-step explanation:
Because it is a random sample
4. A rectangular prism has a length of 5 inches and a width of 3 inches. If
the volume of the rectangular prism is 45 cubic inches, what is the height
of the prism?
Answer:
height 3 inches
Step-by-step explanation:
h = V/LW = 45/3x5 = 3 inches
HELP ME SOMEONE PLEASE :(
Answer: The answer is A.
Step-by-step explanation:
The formula for the area of circles:
A = πr^2
Plug in the radius
A = π8^2
A = π64
A = 201.06192983/ 201 (rounded)
Answer:
A
Step-by-step explanation:
The formula for area of a circle is πr^2. the radius is 7 so pie time 7 times 2 square equal ≈201
help with math please giving lots of points!
Answer:
9)
1 2/3 ÷ 2 1/4 = 5/3 x 4/9 = 20/27
10)
3 3/5 ÷ 1 3/4 = 18/5 x 4/7 = 72/35
Jerneii writes the set of ordered pairs below. The set represents a function.
{(3,-3), (5,0), (-1, 4), (-6, 7)}
Jerneii claims that she can add any point to the set and have the set still represent a function.
Which of the following points can be used to show that Jerneii's claim is incorrect?
O(-6, 1)
O (9,8)
O (0,5)
O (1,7)
Answer:
WOMP WOMP WOMP!!!
Step-by-step explanation:
a)How many vertices does it have?
(b) How many edges (lateral edges plus base edges) does it have?
(c)How many faces (lateral faces plus bases) does it have?
2+2(8)-12=
whats the answer?
Answer:
2 + 2(8) - 12 =?
2 + 16 - 12 =?
2 + 4 = 6.
Answer:
[tex]2 + 2(8) - 12 \\ = 2 + 16 - 12 \\ = 2 + 4 \\ = 6 \\ \\ 6 \: is \: the \: correct \: answer[/tex]
Hope it helps!
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
Please I beg of you answer this question please answer this correctly no links no trolls pleaseeee
Answer:
Step-by-step explanation:
pi r^2 for area
pi 35^2
pi1225= about 3848.45
2pi r for circumference
2pi35
pi70= about 219.9
What is the area of the composite figure?
(Attached picture)
__cm²
Answer:
59.5
Step-by-step explanation:
area of the triangle is (7 x 3)/2=21/2=10.5
area of the square 7x7=49
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c