An open box with a volume of 128 cm3 can be made
by cutting a square of the same size from each corner
of a square piece of metal 12 cm on a side and folding
up the edges. What is the length of a side of the square
that is cut from each corner?
Answer:
sorry hindi amo marunong ng math
The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.
What is volume?Volume is the scalar quantity of any object that specified occupied space in 3D.
For example, the space in our room is referred to as volume.
Volume has units of cube example meter³,cm³, etc.
The volume of the cuboid = length × height × width.
The volume of the cube = side³.
Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,
Volume of the box = (L - 2h)² × h
(12 - 2h)² × h = 128
4h(6 - h)² = 128
h(36 + h² - 12h) = 32
h³ - 12h² + 36h - 32 = 0
(h - 2)(h² - 10h + 16) = 0
(h - 2)(h² - 8h - 2h + 16) = 0
(h - 2)(h(h - 8) - 2(h - 8)) = 0
(h - 2)(h - 2)(h - 8) = 0
h = 2,8
Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".
To learn more about volume,
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The perimeter of the rectangle below is 68 cm. The perimeter of the triangle is 60 cm. Find the length of the hypotenuse of the triangle
The right triangle is assumed to be inscribed in the rectangle, such that
hypotenuse is the diagonal of the rectangle.
The length of the hypotenuse of the triangle is 26 cm.Reasons:
Let x and y represent the length of the sides of the rectangle
Whereby the base and height of the right triangle are the same as the
length and width of the rectangle, we have;
Perimeter of the rectangle = 2·x + 2·y = 68
Therefore;
[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]
x + y = 34
The base of the right triangle = x
The height of the right triangle = y
By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)
Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60
Which gives;
∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26
The length of the hypotenuse side, √(x² + y²) = 26 cm
Learn more about Pythagoras's theorem here:
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I NEED THE ANSSWER ASAP!!
Which situation would best be represented by positive 32?
Find the length of the third side. If necessary, write in simplest radical form.
Answer:
third side = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 4² = (2[tex]\sqrt{13}[/tex] )²
x² + 16 = 52 ( subtract 16 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
3923 divided by 26 pls help
Answer:
150.884615385
Step-by-step explanation:
3923÷26=150.8846153846153
Anyone got any ideas?
Answer: 36
Step-by-step explanation:
AB = 16 cm
BC = CA = 10 cm
so it's 16 + 10 + 10 = 36
Write equations for the horizontal and vertical lines passing through the point (1,7) .
Answer:
horizontal line: y = 7
vertical line: x = 1
Step-by-step explanation:
There are 4 red marbles, 2 white marbles, and 2 black marbles in a bag. Consider the following compound events. What is the probability that marina will pick two red marbles if she returns the first marble to the bag
Answer:
8
Step-by-step explanation:
eight more anakd;odslakhas sfjjjsjas
A line has a slope of 5 and passes through the point (-1,2).
Write the equation in point-slope form.
Write the equation in slope-intercept form.
Answer:
Step-by-step explanation:
slope=m= 5
points=(-1,2)
By point-slope form:
[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])
Substitute the values in formula:
y-2=5(x+1) (It is the point slope form)
Now,
Slope intercept form:
y-2=5x+5
y=5x+5+2
y=5x+7
If you need to ask any questions, please let me know.
Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?
Step-by-step explanation:
12 to 39 divide each by 3
4 to 13 is the simpliest ratio
a^4 divided by a^-2
please help
Answer:
hope this helps
Step-by-step explanation:
[tex]a^{6\\}[/tex]
to do this you factor the numerator and denominator and then you cancel the common factors
[ASAP] Which graph represents a direct variation?
Which of the following lists is in order from smallest to largest?
The answer is
1.1%, 0.1, 1/9, 2/11
Step-by-step explanation:
convert the fractions to decimals, the percentage to decimal.
then just order the numbers from smallest to biggest
1/9= 0.11
2/11=0.18
1.1%/100= 0.011
If Don drives 60 miles per hour, can he make it to the beach (200 miles away) in 3 1/2 hours?
Answer:
Yes
Step-by-step explanation:
If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:
60 * 3.5 = 210 miles
Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.
The picture shows the $4.88 Josephine spent on a package of 4 pens.
Drag the money below to the box to show how much each pen cost.
Answer:
4 dollars 8 dimes 8 pennies
Step-by-step explanation:
Answer:
Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.
Carley beat the school record for the 400 meter run by 1.3 seconds. If she ran in 55.7 seconds, what was the record?
Answer:
57 seconds
Step-by-step explanation:
55.7 + 1.3 = 57
Hope this helps!
Answer:
57 seconds
Step-by-step explanation:
Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.
Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2
What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
Please help! 20 Points! Will give brainliest if correct!
Answer:
first one
Step-by-step explanation:
lemme know if im right
Answer:
first one I think is right
Solve for x
5-3x - 1 = 25
Answer: Solve for x
x = -7
Answer:
= − 7
Step-by-step explanation:
5 - 3x -1 = 25
4 - 3x = 25
-3x + 4 = 25
-3x + 4 - 4 = 25-4
Evaluate the equation. d - 4.12 = 12.8
A) d = 8.58
B) d = 8.68
C) d = 16.92
D) d = 17.02
Answer: i think its D
Step-by-step explanation:
Convert 8 yards into meters. Round your answer to the nearest tenth.
Answer:
7.3 meters
Step-by-step explanation:
use the formula:
meters= yards x 0.9144.
8 yards x 0.9144 = 7.3152 meters
which rounded to the nearest tenth is 7.3152
Answer:
7.3
Step-by-step explanation:
→ First find how many yards in one meter
1 yard = 0.9144 meters
→ Multiply 0.9144 by 8
0.9144 × 8 = 7.3152
–
2.8,
–
2
1
4
, and
–
2.45 in order from least to greatest
Answer: -2.8, -2.45, -2, 1, and 4.
Step-by-step explanation:
Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.
The length of a rectangle is three times its width.
The perimeter of the rectangle is 24 cm.
Calculate the area of the rectangle.
Answer:
A = 27 cm²
Step-by-step explanation:
let 'w' = width
let '3w' = length
P = 2l + 2w
24 = 2(3w) + 2w
24 = 6w + 2w
24 = 8w
w = 3
l = 3(3) or 0
A = lw
A = 3(9)
A = 27
slope and y intercept for 2y-8=6x
Answer:
slope = 3
y intercept = 4
Step-by-step explanation:
Rearrange the equation so y is the subject.
1. Add 8 to both sides
2y = 6x + 8
2. Divide both sides by 2
y = 3x + 4
Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.
What is the equation of the line shown in the graph?
Answer:
slope-intercept form. y = _ + _ 阿ㄐ高
Step-by-step explanation:
2(1×10^2) CAN ANYONE PLEASE PUT THIS IN SCIENTIFIC NOTATION!?
Answer: 2 x 10^2 in scientific notation The answer would be 200
Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Will give brainliest if right
Answer:
y=-5x-12
y=-0.5x-5
y=-0.5x+0.5
y=-4.5x+3
y=-2x+7
y=2.5x+10
Step-by-step explanation:
what is 18,678,789 times 67,897,867
It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?
Answer:
3/1 tsp. or 3 tsp.
Step-by-step explanation:
3/4 times 4