The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism? Round your answer to the nearest tenth.
Answers
Question :
The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s, of the triangular prism? Round your answer to the nearest tenth.
Answer: 7.62cm
Step-by-step explanation:
Given the following :
Width = 6cm
Depth = 4cm
Vertical height = 7cm
Splitting the face of the prism into two:
Thus the width becoming 6cm/2 = 3cm and vertical height = 7cm
Using Pythagoras ;
The side edge 's' equals
s^2 = width^2 + height^2
s = √(width^2 + height^2)
s = √(3^2 + 7^2
s = √9 + 49
s = √58
s = 7.62cm
Answer:
7.6
Step-by-step explanation:
the person above is correct, i took the test on khan, but you have to round to the nearest tenth
Related Questions
Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive
Answers
Answer:Regina recieved $14 dollars of change
Step-by-step explanation:
12+14=26
40-26=14
The change received by Regina is $14.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Regina bought a book for price = $12
Regina bought a game for price = $14
Total amount paid by Regina = $40
The Regina should receive the change,
⇒ [tex]Change = 40-(12+14)[/tex]
⇒ [tex]Change = 40-26[/tex]
⇒ [tex]Change = 14[/tex]
Hence we can conclude that the change received by Regina is $14.
Learn more about word problems here
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Andre' went to the store where 3 bags of gummie bears were $6.30. How many were 7 bags of gummie bears?
3 bags of gummie bears/$6.30 =7 bags of gummie bears
True
False
Answers
Explanation:
[8 + (24 x 3)] divided by 7
Use PEMDAS &’ show work .
Answers
Answer:
11.43
Step-by-step explanation:
[8 + (24 x 3)] divided by 7
[8 + (72)] divided by 7
80/7
11.42857142857143
11.43 (I rounded it)
Answer:
11.42
My explanation:
P( )
E *
M x
D /
A +
S -
the first step is to multiply 24x3 because parenthesses go first
the second step is that get the 72 form multiplying and add 8 to it becasue its inside the lines
third step is to divide by 7 and then you get 11.42
Feel free to ask for more help :)
Teri has a bag of colored marbles. Five marbles are red, four are green, ten are blue, and one is white. Marbles are randomly selected out of the bag.
What is the probability of selecting a red marble and then a white marble without replacement?
Answers
Answer:
1/76
Step-by-step explanation:
Five marbles are red,
four are green,
ten are blue, and
one is white.
Sample space S= 5+4+10+1= 20
Probability of selecting a red Mable
Pr(red) = 5/20= 1/4
Probability of selecting a white Mable without replacement after the first selection
Pr(white) = 1/19= 1/19
the probability of selecting a red marble and then a white marble without replacement?
= 1/4*1/19= 1/76
What is the slope-intercept form of an equation of a line perpendicular to y=2x−3 and passing through the point (5,−1)?
Answers
Answer:
y=-2x+9
Step-by-step explanation:
1. Make m value opposite of og m value.
2. Then plug in variables x and y into the equation
3. Solve for b
-1 = -2(5) + b
9 = b
4. You have the answer
OVER HERE WALKER
What is the circumference of a circle with a diameter of 21 cm ?
Answers
Answer:
65.97
Step-by-step explanation:
It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?
Answers
Answer:
Step-by-step explanation:
If 2 men take 6 hrs to paint the fence, then
3 men would obviously take less time to paint the same fence;
2 men= 6 hrs
3 men= ?
thus, the time taken by three men to paint the same fence=2/3 ×6 hrs
= 4 hrs
What is the Volume of the triangular prism, in cubic centimeters?
Answers
Answer: the answer is approximately 45.6
Step-by-step explanation:
What is the common ratio for the following geometric sequence: 4, -20, 100, -500, . . .
Answers
WILL CHOOSE BRAINLIEST! PLEASE HELP! 15 POINTS!
Find the area of the shaded segment of the circle.
Answers
Answer:
The shaded segment = The arc area - The triangle
The arc area = pi x radius^2 x angle/360
= pi x 9^2 x (360-270)/360 = 63.61 (m2)
The triangle area = 9 x 9/2 = 41.5 (m2)
(because this is right triangle)
=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)
There’s three answers
Answers
Answer:
D
E
F
Step-by-step explanation:
Because as long as they stay the same they can just be mixed.
11(4t + 1) whats the answer
Answers
Answer:
44t + 11
Step-by-step explanation:
[tex]11(4t + 1) \\ = 11 \times 4t + 11 \times 1 \\ = 44t + 11 \\ [/tex]
Answer:
the answer is attached to the picture
John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?
Answers
Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
32 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is given by;
Length*width*Height
or, Area*height
Height = 4 feet
Area= 8 square feet
Conversion to Cubic feet is given by;
(cubic feet) = (square feet) × (height in feet)
Therefore,
Cubic feet = 8 square feet*4 feet
= 32 cubic feet.
Seventeen more than the product of a number and -3 is less than -29 plz answer
Answers
Answer:
-3x + 17 < -29
Step-by-step explanation:
Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm
Answers
Answer:
27cm
Step-by-step explanation:
so you are dumb for not nowing it
A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the edge of the insulation. Use pi=3.14
Answers
Answer:
the volume of the pipe is 649.98 cubic inches.
Step-by-step explanation:
We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.
We will use volume of hollow cylinder formula to solve our given problem.
[tex]\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h[/tex]
where,
R = Radius of external cylinder,
r = Radius of internal cylinder.
h = Height of cylinder.
substituting our given values in above formula, we will get:
[tex]\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3[/tex]
Therefore, the volume of the pipe is 649.98 cubic inches.
x² + 6x +8=0
In factoring algorithm
Answers
Answer:
(x+2)(x+4)
Step-by-step explanation:
Answer:
( x + 2 ) ( x + 4 )
Step-by-step explanation:
Shota is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was 30 meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He climbed up at a constant rate. After 4.5 seconds, he was 7.5 meters below the edge of the volcano. How fast did Shota climb? In total, how long did it take Shota to reach the edge of the volcano?
Answers
Answer:
Shota's speed = 5 m/s
In total, it take 6 seconds to reach the edge of the volcano.
Step-by-step explanation:
Given;
Total height below the edge of the volcano = 30 m
(Note that he climbed at constant rate)
After 4.5 seconds, he was 7.5 meters below the edge of the volcano.
Time = 4.5 s
Distance covered = 30 - 7.5 = 22.5 m
His speed = distance covered/time
Substituting the values;
Speed = 22.5/4.5
Speed = 5 m/s
Time needed to reach the edge;
Time = distance/speed
Speed = 5m/s
Distance = 30 m
Substituting;
Time = 30/5 = 6 seconds
PLSSS HELP!! WILL GIVE BRAINLIEST!
Answers
Answer:
Although it's blurry, I believe y is equal to 3.
Step-by-step explanation:
You can see where x (the horizontal line) = 7, then go up to where the diagonal line meets that point, which is at y (the vertical line) = 3.
Answer:
y = [tex]2 \frac{11}{12}[/tex] gallonsStep-by-step explanation:
The water run at a constant speed with the slope of 5/12.
Slope-intercept form would be y = 5/12x.
So if we were to plug it in the equation,
y = 5/12 (7) = 35/12 or 2 11/12.
Hope this helps ;D
Need help pls have no idea how to this
Answers
Answer:
The local minimum point of f(x) is at the point (-2,-2)
Step-by-step explanation:
the minimum point is located on the very bottom of the parabola!
so its cut off but its (-2,-2)
sorry I didnt see the 6,-2
so I am gussing the y-value is the minimum point so it should be -2....tell me if I am wrong but if your looking for a points it (-2,-2) if your looking for the value it would be -2
pls mark me brainliest
Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation 2 h tt = − 16t^2+ 72t+ 100 (where t is time in seconds and h is height in feet) How long will it take the coin to reach the stream?
Answers
Answer:
It will take 5.61 seconds for the coin to reach the stream.
Step-by-step explanation:
The height of the coin, after t seconds, is given by the following equation:
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
How long will it take the coin to reach the stream?
The stream is the ground level.
So the coin reaches the stream when h(t) = 0.
[tex]h(t) = -16t^{2} + 72t + 100[/tex]
[tex]-16t^{2} + 72t + 100 = 0[/tex]
Multiplying by (-1)
[tex]16t^{2} - 72t - 100 = 0[/tex]
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]
[tex]\bigtriangleup = b^{2} - 4ac[/tex]
In this question:
[tex]16t^{2} - 72t - 100 = 0[/tex]
So
[tex]a = 16, b = -72, c = -100[/tex]
[tex]\bigtriangleup = (-72)^{2} - 4*16*(-100) = 11584[/tex]
[tex]t_{1} = \frac{-(-72) + \sqrt{11584}}{2*16} = 5.61[/tex]
[tex]t_{2} = \frac{-(-72) - \sqrt{11584}}{2*16} = -1.11[/tex]
Time is a positive measure, so we take the positive value.
It will take 5.61 seconds for the coin to reach the stream.
SERIOUS MATH HELP PLEAZE
SHOW WORK OR AN EXPLANATION
HELPPPPPPPPPPPP
Answers
Answer:
It's B.
Step-by-step explanation:
Z=-3, z=6
Which statement is true?
A. 6 > 6
B. –8 < –3
C. 5 < –6
D. –12 > –6
Answers
Answer:
B
Step-by-step explanation:
hope this helps.......
Answer:
my answer is B
Step-by-step explanation:
I know this because I just took a test on this and got it right.
The table shows the results of an experiment in which a spinner was spun 50 times. Find the experimental probability of each outcome.
Answers
Answer:
Option "A" is the correct answer to the following question.
Step-by-step explanation:
Given:
Total number of experiment = 50
Find:
Probability to get less then 4:
Computation:
⇒ Total number can be get less then 4 = 4+2+3
⇒ Total number can be get less then 4 = 9
⇒ Probability of an outcome = Total number of outcomes / Total number of experiment
⇒ Probability to get less then 4 = Total number can be get less then 4 / Total number of experiment
⇒ Probability to get less then 4 = 9 / 50
Find the parallelogram.
Answers
Answer:
area - 120 cm
Step-by-step explanation:
Answer:
A = 120 cm^2
P = 54 cm
Step-by-step explanation:
Area of parallelogram: = base * height
A = 15 cm * 8 cm = 120 cm^2
Perimeter of parallelogram = sum of lengths of sides
P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm
Solve for angle C.
•
Answers
Answer: 40º
Step-by-step explanation:
To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.
The trigonometric function that relates opposite and adjacent sides is tangent.
[tex]tan=\frac{opposite}{adjacent}[/tex]
[tex]tan=\frac{21}{25}[/tex]
[tex]tan^-^1=40[/tex]
b) Write 25 x 10° in standard form.
Answers
Answer:
2.5x10^1
Step-by-step explanation:
When the first number goes down, add one to the 10's power
Answer:
2.5x10∧1
Step-by-step explanation:
Can someone please help with these 4 questions?
Answers
Answer:
Q4. 2144 Q5. -16 Q6. Downwards Q7. 0 seconds
Step-by-step explanation:
Q4. h(t) = -16t² + 2400 Substitute 4 for t
h(4) = -16(4)² + 2400 Simplify the exponent
h(4) = -16(16) + 2400 Multiply
h(4) = -256 + 2400 Add
h(4) = 2144
Q5. I graphed the equation on the graph below to find the instantaneous velocity. The instantaneous velocity is -16.
Q6. At 4.5 seconds, the water rocket is traveling down because the highest point the rocket goes is at 2.8, so 4.5 is traveling downwards.
Q7. 0 seconds because the rocket goes 0 feet in 0 seconds.
If these answers are correct, please make me Brainliest!
HELP MATH ASAP PLEASE
I WILL GIVE BRAINLEST
Answers
Answer:
The answer is D
Step-by-step explanation:
The product of two rational numbers is -28/81. If one of them is -2/3, then find the other.
PLEASE HELP....NEED TO SUBMIT IT NOW......
Answers
Answer:
14/27
Step-by-step explanation:
Let x be the unknown number
-2/3 * x = -28/81
Multiply each side by -3/2
-3/2*-2/3 * x = -28/81 * -3/2
x = 28/2 * 3/81
x =14*1/27
x = 14/27
Answer:
14/27
Step-by-step explanation:
Let x be the other number
x × -2/3 = -28/81
x = -28/81 × -3/2
x = 14/27
