HELP PLEASE I'LL GIVE 25 POINTS!!! A triangular prism of cheese is measured and found to be 2.0 inches tall. The edges of its base are 9.0, 9.0, and 4.0 inches long. Several congruent prisms are to be arranged around a common 2.0- inch segment, as shown. How many prisms can be accommodated? What is their total volume? PLEASE INCLUDE WORK
pleaseeeeeeeeeeee SOMEONE HELPME BRO
Answers
Answer:
14 prisms can be accomodated
Their total volume would be 504 in³
Step-by-step explanation:
First, we have to figure out the angle at the vertex. For that, we need the Law of cosines. c²=a²+b²-2ab*cos(c)
4²=9²+9²-2(9)(9)cos(c)
16=81+81-162cos(c)
16-81-81=-162cos(c)
-142=-162cos(c)
-142/-162=cos(c)
.9=cos(c)
use the inverse
cos^-1(.9)=c
25.8=c
Now that we know c=25.8, we can figure out how many cheese wedges there would be in the circle.
36÷25.8=14
Now we figure out volume.
1/2(9)(4)(2)=36 in³
The total volume would be
14x36=504 in³
Related Questions
i need the answer to this problem
Answers
Answer:
c/4 is 7 and c is 28
Step-by-step explanation:
Answer: Answer in steps
Step-by-step explanation:
[tex]\frac{c}{4} -12 = -5[/tex] Add 12 to both sides
[tex]\frac{c}{4} = 7[/tex] Now multiply both sides by 4
c= 28
Help me find the slopes of these please.
Answers
Slope formula: y2-y1/x2-x1
Part one:
-7-4/-7-(-7)
-11/0
Since the denominator is 0, the slope is undefined.
Part two:
-9-(-9)/2-(-5)
0/7
Since the numerator is 0, the slope is 0.
Best of Luck!
Problem 1
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (-7 - 4)/(-7 - (-7))
m = (-7 - 4)/(-7 + 7)
m = -11/0
The result is undefined as we cannot divide by zero.
This line is vertical and all vertical lines have undefined slopes. This happens when both points have the same x coordinate.
Answer: Undefined=========================================================
Problem 2
Use the slope formula again, just with different values of course
m = (y2 - y1)/(x2 - x1)
m = (-9 - (-9))/(2 - (-5))
m = (-9 + 9)/(2 + 5)
m = 0/7
m = 0
In contrast to the previous problem, we can have 0 in the numerator. Dividing 0 over any nonzero value leads to 0.
This line is horizontal as both y coordinates are the same value. All horizontal lines have a slope of 0. You can think of it like
slope = rise/run = 0/1
rise = 0 means we don't move up or down
run = 1 means we move to the right 1 unit
Answer: 0Which of the following is another way to express the difference between -5 and 8
Answers
Answer:
-5 - 8 = -13
Another way to express the difference is:
-8 + (-5) = 13
Step-by-step explanation:
(Picture)
Answer:
-5 - (-8)
Step-by-step explanation:
Someone help me
10-14x-7-7x=6
Answers
Answer: your answer is going to be 1/7
Step-by-step explanation:
Answer:
x = -1/7
Step-by-step explanation:
First, combine like terms:
3 - 21x = 6
Then, isolate the variable:
-21x = 3
Then, divide -21 on both sides:
x = -3/21
Finally, simplify the fraction:
x = -1/7
Hope this helps!
Please solve!!!!!!!!!!!
Answers
A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measures 18' by 42'? Express your answer in cubic yards.
Answers
Answer: 22.59 yd^3
Step-by-step explanation:
First the volume of a cuboid whose measurements are:
L = length, W = width and T = thiknes is:
V = L*W*T.
We want to calculate the volume of a shape that is:
10'' thick, 18' wide and 42' long.
This notation is:
(') = feet
('') = inches
The first step is to write our 3 numbers in the same units, then we can use that:
1 inch = 0.083 ft.
Then 10 inches are equal to:
10'' = 10*(0.083 ft) = 0.83 ft = 0.83'
Then the volume of concrete needed will be:
V = 0.83ft*18ft*42ft = 627.48 ft^3
But we want this expressed in yd^3
1ft = 0.33 yd
then
1ft^3 = (0.33 yd)^3 = 0.036 yd^3
then 627.48 ft^3 can be written as:
627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3
WHy is an assingment so hard or at least why do they make it difficult
Answers
Answer:
for the teacher to see are u a hard working student
Step-by-step explanation:
A triangle with vertices (−2, 3), (5, 4), and (−1,−1) is translated using the rule (x, y)→(x−3, y+4). What are the coordinates of the image?
Answers
Answer:
(-6,7) (2,8) (-4,3)
Step-by-step explanation:
You went to Disney World by car. The trip there took 6 hours. On the way home, people were evacuating for a possible hurricane so your speed decreased by 20 m/hr and it took 10 hours to get home. How fast was the car going on the way there? How fast was it going on the way back home?
Answers
Answer:
a) on the way there, the speed = 50 m/hr
b) on the way back home, speed = 30 m/hr
Step-by-step explanation:
[tex]speed (s) = \frac{distance(d)}{time(t)} \\distance = speed\ \times\ time[/tex]
on the way to Disney land:
distance = d
speed = s
time = t = 6 hours
d = s × t
d = s × 6
d = 6s - - - - - (1)
On the way back:
speed decreased by 20m/hr
This means that s₂ = (s - 20)m/hr
time = t₂ = 10 hours
∴ d = s₂ × t₂
d = (s - 20) × 10
d = 10s - 200 - - - - (2)
Note that the distance is the same to and from disney land, therefore, equation (1) equals equation (2)
∴ 6s = 10s - 200
collecting like terms:
10s - 6s = 200
4s = 200
∴ s = 200 ÷ 4
s = 50 m/hr
Therefore on the way there, the car was moving at a apeed of 50m/hr
speed on the way back home (s₂) = (s - 20) m/hr
∴ s₂ = 50 - 20
s₂ = 30 m/hr
Therefore on the way back home the speed was 30 m/hr
Hi I'm not really good at least to greatest but can I have help.
Answers
Answer:
the answer is c.
c shows the correct order.
Step-by-step explanation:
i hope this helps you! <33
Answer:
for negative the highest number is the least, I believe and for positive numbers the least number is just the one that is the smallest Step-by-step explanation:
help me with this question please
Answers
Answer:
the answer is 27
Step-by-step explanation:
Select the equivalent expression.
Answers
Answer:
Step-by-step explanation:
a^-4 x 8^14
the solution is C
arleen has a gift card for a local lawn and garden store. she uses the gift card to rent a roller for 4 days. it cost $17 per day to rent the tiller she also buys a rake for $5. find the change to the value of her gift card
Answers
Answer:
We use negative values for the money Arleen spends.
a) We determine the change to the value on her gift card:
4(-35)+(-9)= -140+(-9)=-149
b) We determine the amount on money she has left on the gift card after renting the tiller and buying the rake:
200+(-149)=51
Since she has got $51 on her gift card and a wheelbarrow is $50 she is able to buy it:
51>50
RESULT
a) -$149 less b) yes
Step-by-step explanation:
Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6
Answers
Answer:
D
Step-by-step explanation:
when you add 5.1 and 7.7 together it would be 12.8 but you have to move the decimal to the left again since it has more than one number to the left then the ^5 would turn into ^6 and 1.28x10^6 is 1,280,000 and the other is only 1,000,000
Answer:
D
Step-by-step explanation:
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t, in seconds, when the ball’s height is greater than 10 meters.
Answers
Complete Question:
A ball is kicked with an initial height of 0.75 meters and initial upward velocity of 22 meters/second. This inequality represents the time, t in
seconds, when the ball's height is greater than 10 meters.
-4.9t² + 22t + 0.75 > 10
The ball's height is greater than 10 meters when t is approximately between __ and __ seconds
Answer:
The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds
Step-by-step explanation:
Given
[tex]-4.9t\² + 22t + 0.75 > 10[/tex]
Required
Solve the inequality
[tex]-4.9t\² + 22t + 0.75 > 10[/tex]
Subtract 10 from both sides
[tex]-4.9t\² + 22t + 0.75 - 10> 10 - 10[/tex]
[tex]-4.9t\² + 22t + -9.25> 0[/tex]
Solve using quadratic formula
[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
In this case;
a = -4.9; b = 22; c = -9.25
[tex]t = \frac{-22 \± \sqrt{22^2 - 4 * (-4.9) * (-9.25)}}{2 * -4.9}[/tex]
[tex]t = \frac{-22 \± \sqrt{484 - 181.3}}{-9.8}[/tex]
[tex]t = \frac{22 \± \sqrt{484 - 181.3}}{9.8}[/tex]
[tex]t = \frac{22 \± \sqrt{302.7}}{9.8}[/tex]
[tex]t = \frac{22 \± 17.398}{9.8}[/tex]
Split
[tex]t = \frac{22 + 17.398}{9.8}[/tex] or [tex]t = \frac{22 - 17.398}{9.8}[/tex]
[tex]t = \frac{39.398}{9.8}[/tex] or [tex]t = \frac{4.602}{9.8}[/tex]
[tex]t = 4.02[/tex] or [tex]t = 0.47[/tex]
Convert to inequality;
[tex]0.47 < t < 4.02[/tex]
Hence;
The ball's height is greater than 10 meters when t is approximately between 0.47 and 4.02 seconds
Answer:
0.47 and 4.02
Step-by-step explanation:
Edmentum/Plato
find the endpoint of the segment with endpoint (4, 12) and midpoint (-1, 13)
Answers
Answer:
(-6,14)
Step-by-step explanation:
We are given one endpoint and the midpoint, so we have to figure out how far apart these two points are:
(4,12) and (-1,13)
First, we take the x values because these two points are using the (x,y) pattern.
How far away are 4 and -1? The answer is 5.
How far away are 12 and 13? Only 1
If we start at the endpoint (4,12) and go to the midpoint at (-1,13), we go 5 to the left. That means we need to go 5 more spaces to the left to get to the other endpoint. The first part of our answer is -6, which is 5 to the left of -1.
Doing the same thing for the y values now, to get from 12 to 13 we go up 1. So we have to go up one more to find the y value of the other endpoint. If you are at 13 and you go up one, you are at 14.
HELP QUICK!!!! PLEASE FIVE AN EXPLANATION ALSO!!! HELP!!!
Answers
Answer:
A) 2
Step-by-step explanation:
Do the ratios 19/8 and 5/4 form a proportion?
Answers
============================================================
Explanation:
Your teacher is effectively asking "are the fractions 19/8 and 5/4 equal?"
Let's assume for now that they are. So we have 19/8 = 5/4
To check if that is a true equation, let's cross multiply
19/8 = 5/4
19*4 = 8*5
76 = 40
The last equation is not true, so the first equation is also not true. The ratios are not in proportion.
---------------------------
Alternative method:
Instead of cross multiplying, we can get all the fractions to have the same denominator. The LCD (lowest common denominator) of the two given fractions is 8. Let's turn 5/4 into a fraction with 8 in the denominator.
We'll multiply top and bottom by 2 to get 5/4 turning into 10/8
Now we're asking "are 19/8 and 10/8 the same?" in which the answer is "no they are not the same". The numerators 19 and 10 are different. The fraction 19/8 is larger than 10/8. So 19/8 is larger than 5/4.
---------------------------
2nd Alternative method:
Use your calculator to see that
19/8 = 2.375
5/4 = 1.25
The decimal values should be the same if the fractions were equal, but they are not. This is a very quick way to compare two fractions.
Answer:
no
Step-by-step explanation:
because they are not equivalent to each other.
Somebody HELPPPPPSelect the correct answer. What is the value of this expression if a = - 7 and b = -37 a3 - b2
Answers
53
reason:
substitute a with -7 and b with -37
this makes the equation (-7)3 - (-37)2, which equals 53
Negative seven multiply three minus negative thirty seven multiply two equal to seventy four minus twenty one equal to fifty three.
Anthony Harris earns $0.50 per hamper of heirloom tomatoes. One day he picked 43 hampers-worth. What was his total pay that day?
Answers
Answer:
$21.50
Step-by-step explanation:
We want to find Anthony's pay for 43 hampers.
We can multiply his pay per hamper by the number of hampers picked.
pay per hamper * hampers picked
He earns $0.50 for each hamper and he picked 43 hampers. Therefore, we can multiply $0.50 and 43 to find his pay for the day.
$0.50 * 43
$21.5 = $21.50
Anthony's total pay that day is $21.50.
Write the slope intercept form of the equation.
Y=Mx+b
PLEASE SHOW WORK
Answers
Answer:
See below (I hope this helps!)
Step-by-step explanation:
We need to write this in the form y = mx + b.
x + 3y = -12
3y = -x - 12
[tex]y = \frac{1}{3}x - 4[/tex]
Please help! If possible, please word your explanation simply.
Answers
Answer: It is because if ∠N and ∠K are congruent and are same in size and shape.
Answer:
KLM is equal to NLM because in order to share a bisector, they have to have the same length. Also we can assume that <L and <M are the same since they share the same vertex, making both triangles equal.
Step-by-step explanation:
is √324 rational, irrational, an integer, or a natural or whole number
Answers
Answer:
wHOLE number
Step-by-step explanation:
IT is a whole number
Y is between X and Z. T is
between Y and Z. If XZ = 90,
YT = 22, and XY = TZ, what is
XT?
Answers
Answer:
xt=56
Step-by-step explanation:
90-22=68
68/2=34
xy=34
tz=34
22+34=56
xt=56
Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3
Answers
Answer:
Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y
Step-by-step explanation:
Superscript 16 Baseline EndFraction StartFraction 1 Over 4 x Superscript 14 y
is -10 greather than -7
Answers
Answer:
no
Step-by-step explanation:
-7 is bigger
Answer:
no, its less
Step-by-step explanation:
because in negatives the higher the number is (ex: -10) the less the value is, so its the opposite of positive numbers
HELPP
Solve the equation 15+25=4+6x
Answers
Answer:
x=6
Step-by-step explanation:
Answer: x=6
Explanation:
1. Add: 15+25=40
2.Subtract 4 from each side: 40=4+6x
3.Divide by 6: 36=6x
4. x=6
Solve b− 3 16 = 5 16 b−316=516 . b=
Answers
8(2f-3)=4f
Can anybody give an explanation and answer ? Algebra 1 ?
Answers
Answer:
2
Step-by-step explanation:
16f - 24 = 4f
12f = 24
f = 2
Which set of orderd pairs is a function A.( -6, -4 ), (-4, -2) , ( 0, 0 ), (-4, 2 ) ,( -6, 4) B. ( -2 , 1 ) , (-4, 2) , ( 0, 3) , ( 4, 1) , (-2 , 5 ) C. (-1 , 5) , ( -1 , 4) , (-1 , 3) , ( -1 , 2) , (-1, 1 ) D. ( -5, 1 ) , (-3 ,2), ( -1, 3) , (1, 4) , (3, 5
Answers
Answer:
The answer is D
Step-by-step explanation:
To be a function, you cannot have the same x values.