Here is a triangular prism
All measurements are in centimeters
Calculate the volume and surface area of the prism.
Answer:
Volume = 42 cm^3, Surface Area = 96 cm^2
Step-by-step explanation:
Volume = Area * Height
S = semi-perimeter or half of the perimeter
Area of the triangle using heron's formula = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
S = (3 + 4 + 5)/2 = 6 cm
Area of triangle = [tex]\sqrt{6(6-3)(6-4)(6-5)}[/tex]
= [tex]\sqrt{6 * 3 * 2 * 1}[/tex]
= [tex]\sqrt{36}[/tex]
= 6 cm^2
Volume = 6 * 7
= 42 cm^3
Surface Area = Area of bases * Area of Lateral faces
Area of lateral faces = 7 * 3 + 7 * 4 + 7 * 5 = 84 cm^2
Area of bases = 6 cm^2 * 2 = 12 cm^2
Surface area = 12 cm^2 + 84 cm^2 = 96 cm^2
Brenda is training for the New York City Triathlon. She is nervous about swimming 1.5 kilometers in the Hudson River. So, she wants to make sure that she can swim that far in a swimming pool. So far, she has swum 20 laps. If each lap is 25 meters, how many more laps does she have to swim?
Answer:
she has 40 more laps to go
Step-by-step explanation:
1,500 meters are in 1.5 kilometers. So if you use this equation you´ll find the answer to how many miles she will need in total. 1,500/25=60 then subtract 20.
You have 4 ice "cubes" (rectangular prisms) in your cup of
lemonade. Each ice "cube" has a length of 7.75 cm, a
width of 4.6 cm and a height of 2.8 cm. What is the total
volume of all of the ice "cubes"? Explain how you used
math to come to your decision.
Answer:
first off I think you meant you have 3 ice cube*
The answer is 99.82cm^3
Step-by-step explanation:
multiply all 3 numbers together toget your answer cubed
When finding the distance on a coordinate plane, what MUST be used? 2. What is the intersection of the X and Y-axis called?
NEED HELP ASAP
Answer:
the Pythagorean Theorem
Step-by-step explanation:
Used to find distance on a coordinate plane
This line graph shows how the temperature changed during one week.
What was the difference between the highest temperature and the lowest temperature during the week?
Answer:
25°C
Step-by-step explanation:
The highest temperature in the week was recorded on Monday, at 16°C.
The lowest temperature in the week was recorded on Friday, at -9°C.
To find our answer, we must set up a subtraction problem to find the difference between the two.
16 - (-9) = 25
Evaluate the expression when a=4, b=15, and c= 16.
4a +3
A) 60
B) 56
C) 57
D) 59
Answer:
Given that;
a = 4
We plug this value into our equation, and solve.
So:-
4a + 3
4(4) + 3
16 + 3
= 19
(this isn't related to any of your answers, let me know down in the comments if you distorted or misquoted anything in your equation)
Pls help it’s not 2 and not 10
Answer:
11.18
Step-by-step explanation:
Answer:
Step-by-step explanation:
i have no clue
3. The question is in the picture.
Answer:
No
Step-by-step explanation:
The reason for this is that the line is not increasing by 1.5. If we take the 2 y values which are 20 and 10. 20-10 is 10 and if we take the 2 x values and subtract them, we would get 30-15 which is 15. Now divide the y value and the x value (10/15) and we would get 0.66666.... Which is not 1.5. This was probably done because he mixed up the x values and y values which would be 15/10 and a common mistake when reading a coordinate plane. This does show a proportional relationship because the line is constant and therefore proportional. Hope this helps!
A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n
Answer:
594 > -11n
Step-by-step explanation:
The solution is
n > -54
Multiply both sides by -11:
-11n < 594
which is the same as
594 > -11n
Answer:The correct answer is 594> -11n (C)
Step-by-step explanation:
I got it right on edge <3 bye lovely
A party had 4 4/3 pizzas left. If three people split what is left, how much pizza does each person get?
Answer:
they will have to get 1.584 each
Answer:
1 7/9
Step-by-step explanation:
4 4/3 = 5 1/3
5 1/3 / 3 = 16/9 or 1 7/9
Please Help me!!!
What is the volume of a cylinder with a radius of 4 and a height of 9?
-----
A. 13π
B. 36π
C. 72π
D. 144π
Answer:
144.1π cubic units
Step-by-step explanation:
Utilize the volume formula V = (pi)r^2h, where r is the radius and h is the height:
Here V = (pi)(4^2)(9) ≈ (22/7)(16)(9) ≈ 144.1π
5x + 2(x + 7) = 14x – 7 The first one to answer gets brainalist. Social Test.
Answer:
The answer is True.
Step-by-step explanation:
Step 1: Evaluate the left side of the equal sign:
5x + 2(x + 7) = 14
Step 2: Evaluate the right side of the equal sign:
14x–7 = 14
Step 3: Determine if the true-false equation is true or false:
Since 14 = 14, then 5x + 2(x + 7) = 14x–7 is True
Someone help me with this
Which answer choice identifies the relevant information in this problem?Nina earned $35 babysitting. She went to the store and bought 2 CD's. The first CD she chose was priced at $13. The second CD was originally priced at $20.00 and was on sale for $15. After buying the CD's Nina then went to the grocery store with her mother. Her mother spent $6 on Nina's favorite brand of juice. How much money does Nina have left?A.She spent $6 and $15.B.She spent $13, $20 and $15.C.She earned $35 and spent $13, $15 and $6.D.She earned $35 and spent $13 and $15.
Answer:
C
Step-by-step explanation:
C what ever bro
that is the answer
Find the distance between each pair of points.
3 units
2 units
5 units
6 units
4 units
--------->C(-4, 1) and D(1, 1)
---------> G(3, -5) and H(6, -5)
---------> E(-2, -1) and F(-2, -5)
---------> A (5, 4) and B( 5, -2)
WILL MARK BRAINLIEST
Answer: distances are below <3
C & D : 5 units .
G & H : 3 units .
E & F : 4 units .
A & B : 6 units .
Step-by-step explanation: your welcome <3 .
ndicate the answer choice that best completes the statement or answers the question.
Use the figure below.
Answer:
I think the answer is "adjacent, supplementary".
A loaf of bread requires 16 ounces of flour. How many pounds of flour does it take to bake 10 loaves of bread?
Answer:
160
hope this helps! Good luck!! :)
Use the graph to write a linear function that relates y to x .
Answer:
Y=Mx-c this is the formula
Step-by-step explanation:
Answer:
y = (4/3)x + 2
Step-by-step explanation:
It's immediately obvious that the y-intercept of this graph is (0, 2). Another point on the graph is (6, 10). Thus, the slope of the line is
change in y 10 - 2
m = --------------------- = ---------------- = 8/6 = 4/3
change in x 6 - 0
Therefore the equation of this line in slope-intercept form is
y = (4/3)x + 2
diana is saving to buy her favorite bands boxed set of cds and dvds the completed package. when the school year starts she has $18 dollars saved each week she manages to set aside another dollar (There is a x and y graph to this question)
Answer:
I cant see the graph so their for I cant answer the question
Step-by-step explanation:
sorry
What is the LCD of 5/42 and 7/30 ?
210
1,260
6
42
Answer:
The LCD of 5/42 and 7/30 is 210
PLEASE HELP ASAP!!!
Question in pic:
Which pair of sneakers has the lowest sale price?
20% off $35
15% off $30
30% off $38
10% off $29
Helppppppp meeeeeeeeee
HELPP MEEE PLEASE!!!!!!!!!!!!!!!! THX<3
22/3 × 2/5 = 22×2/3×5=44/15=2.9333
Contestants in a dance-a-thon rest for the same amount of time every hour. A couple rests for 28 minutes in 4 hours. How long did they rest in 7 hours?
Two boxes each contain 600 numbered tiles. The double dot plot shows a random sample of 8 numbers from each box. Compare the samples using measures of center and variation. Can you determine which box contains tiles with greater numbers?
yes
no
Explain:
The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 1.55 ⋅ 107 seconds?
Answer:
165.85
Step-by-step explanation:
for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy the given solution set.
Answer:
|z-1|=5
Step-by-step explanation:
find the midpoint which is c(1) and then d is the distance(5) mark as bainliest
The midpoint between -3 and 7 is (7 - 3) / 2 = 4 / 2 = 2. Therefore, c = 2. 3. The distance between -3 and 7 is |7 - (-3)| = 10. Therefore, d = 10. 4.
To write an absolute value equation in the form |x-c|=d, where c and d are numbers, to satisfy a given solution set on a number line, you need to consider the distance between the solutions and a specific point on the number line.
Here's a step-by-step approach to finding the equation:
1. Identify the solutions on the number line.
Let's say the solutions are represented by points A and B.
2. Determine the midpoint between points A and B.
This midpoint will be the value of c in the equation.
3. Calculate the distance between points A and B.
This distance will be the value of d in the equation.
4. Write the absolute value equation using the calculated values of c and d.
The equation will be |x - c| = d.
Let's look at an example:
Suppose the solutions on the number line are represented by points -3 and 7.
We'll find the equation that satisfies this solution set. 1.
The solutions are -3 and 7. 2.
The midpoint between -3 and 7 is (7 - 3) / 2 = 4 / 2 = 2.
Therefore, c = 2. 3.
The distance between -3 and 7 is |7 - (-3)| = 10.
Therefore, d = 10. 4.
The absolute value equation that satisfies the solution set is |x - 2| = 10.
To know more about midpoint here
https://brainly.com/question/12223533
#SPJ2
help, i will mark brainliest
Answer:
a is 4x (the second one only)
b is 4 * 9y-4 * 5 and 4(9y-5) (the first and last one)
Step-by-step explanation:
a: x+x+x+x=4x
b: 4 * 9y=36y and -4 * 5=-20
(and 4 * -5 also equals -20)
Answer:
here is the first one 4x
1. 4x
2. 4(9y-5)
for the second one 4(9y−5)
Step-by-step explanation:
I worked hard lol so pls mark
I also need help on this one smh
Answer:
C. 176.6 Square feet (I think)
Step-by-step explanation:
I tried many different ways and got three of the answers above but I think this is the right one.
The equation to find area of a circular cone base: [tex]A= \pi r^2[/tex]
We are given the diameter (15 Feet) but we need to find the radius. So we use the diameter to radius formula: [tex]r = \frac{d}{2}[/tex]Plug in numbers: [tex]r=\frac{15}{2}[/tex] ≈ [tex]7.5[/tex]Use the Area formula now that you have radius: [tex]A=\pi 7.5^2[/tex]Solve and get = [tex]a = 176.71458676[/tex]Looking at the options the closest one to our answer (off by one-tenth) is C.Sorry if you get this wrong. I tried lol.