The length of an edge or side length of the cube is 11.5 cm if the diagonal of a cube is 20 cm option (d) is correct.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a cube.
The diagonal of a cube is 20 cm.
Let a be the side length of the cube.
As we know, from the Pythagoras theorem we can calculate the length of the face diagonal.
Pythagoras' theorem can be defined as the square of the hypotenuse in a right-angled triangle equal to the sum of the squares of the other two sides.
Length of a face diagonal = √2a
Length of body diagonal = √3a
√3a = 20 (given)
a = 20/√3
a = 20/1.732
a = 11.5 cm
Thus, the length of an edge or side length of the cube is 11.5 cm if the diagonal of a cube is 20 cm option (d) is correct.
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Answer:
11.5
Step-by-step explanation:
The answer is 11.5 I guessed 20 cm like they said and it was wrong. 11.5cm is correct.
How can you use mental math to multiply numbers by 10?
Answer:
add a zero at the end of the number. 5x10=50. 60x10=600. 700x10=7000 etc.
Step-by-step explanation:
Answer:
Move the decimal point one space to the right
Step-by-step explanation:
Ex:
12*10=120 12=12.0 move the decimal one space to the right=120
You can also just add 0 if there isn't a decimal point
13.5*10=135 move the decimal one space to the right
hope this helps :)
Before the coffee shop opens. the employees bake 40 cookies which is 25 less than the number of donuts they make. Does the equation "x/25=40" describe the situation? if not write an equation that does explain what the variable represents
Answer:
40= d-25
Step-by-step explanation:
d is donut
hope it helps!!!
Please help!! What is the x-intercept of the line graphed below? Write your answer as an ordered pair.
Answer:
The x-intercept is (-5,0)
Step-by-step explanation:
Answer:
(-5,0)
X-axis coordinate number first, then y-axis.
convert
1. 15 Ib = ______ oz
2. 3 T = _______ Ib
3. 320 oz = _______ Ib
4. 23 Ib =_______ oz
5. 6 T = ______ Ib
6. 144 oz = ________ Ib
7. 15 T = ________ Ib
8. 352 oz = _____ Ib
9. 18 Ib =_______ oz
pls pls you will save me
Answer:
1. 240 oz
2. 6000lb
3. 20 lb
4. 368 oz
5. 12000 lb
6. 9 lb
7. 30000 lb
8. 22
9. 288
Step-by-step explanation:
Answer:
1. 240
2. 6613.87
3. 20
4. 368
5. 13227.7
6. 9
7. 33069.3
8. 22
9. 288
Step-by-step explanation:
AMY RAN 20 MILES MORE THAN JIMMY LAST WEEK, AMY
RAN 32 MILES. HOW MANY MILES DID JIMMY RUN?
Algebra math show your work
Answer:
Jimmy ran 12 miles last week.
Step-by-step explanation:
32-20=12
(One step equations) use inverse operations to isolate the variable. 18=-3x
Answer:
6
Step-by-step explanation:
divide by 3 on both sides
Mia walks up to a claw machine with a pocket full of quarters. She spends them at a rate of two every minute until she runs out.
Part A
If the number of quarters Mia has is graphed over time, which feature of the graph corresponds to the rate at which Mia spends the quarters?
A. the x-intercept
B. the slope
C. the y-intercept
D. the minimum value
Part B
What is the slope?
A. 2
B. 60
C. −60
D. −2
part a
The x-intercept
part b
2
The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.
And, The value of slope will be 2.
What is Equation of line?The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
She spends them at a rate of two every minute until she runs out.
Now,
Since, She spends them at a rate of two every minute until she runs out.
And, The number of quarters Mia has is graphed over time.
We know that;
Usually we represent the independent variable (time) by x and dependent variable (quarters) by y.
Hence, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters.
So, The slope = 2/1
= 2
Thus, The y - intercept is the graph corresponds to the rate at which Mia spends the quarters. And, The value of slope will be 2.
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I need help again.Here is the question, Distance = Rate x Time What was my rate of speed if it took me 3.5 hours to travel 210 miles?
Answer:
60
Step-by-step explanation:
210÷3.5=60
3.5x60=210
Hope this helps!
: )
Whoever answers correctly gets brainliest.
Answer:
5a + a + 4a = 10 a
Option A) 4a
Evaluate the expression
9
−
z
9−z9, minus, z when
z
=
4
z=
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 5
Explanation:
9-4 = 5
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Graph the line on the coordinate plane provided:
*** (don't forget to SHOW any neccesary WORK!)***
y = -31 - 2
what is calculating the area of a triangle
Answer:
bh/2
Step-by-step explanation:
So first, you have to multiply the base times height and you get a value. Then, you divide the value by 2. For example, a triangle that has a base of 3 and height of 4, you would multiply 4x3 which is 12 and then divide by 2 which is 6. Hope this helps :)
Andy ran a 5 kilometer race in 40 minutes if Andy maintains that same Pace how many klometers can Andy run in 1 hour
complete the factoring , if needed solve the polynomial any quality using a sign chart (x+3)(x^2-8x+15)<0
Answer:
[tex](x + 3)(x - 5)(x-3)<0[/tex]
Step-by-step explanation:
Given
[tex](x + 3)(x^2 - 8x + 15)<0[/tex]
Required
Complete the factoring
[tex](x + 3)(x^2 - 8x + 15)<0[/tex]
Expand
[tex](x + 3)(x^2 - 3x - 5x+ 15)<0[/tex]
Factorize:
[tex](x + 3)(x(x - 3)-5(x-3))<0[/tex]
Factor out x - 3
[tex](x + 3)(x - 5)(x-3)<0[/tex]
The expression has been completely factored
Please please help help this is for the brainies y’all are amazing thank you
Answer:
(2, 5)
Step-by-step explanation:
When reflected across the x-axis the y value is the opposite.
Answer:
(1,-9)
Step-by-step explanation:
Simplify: 6!*5!/4!*3!
5.5
600
55
60
Answer:
The answer to ur question is 600
Will mark brainliest if correct! No links ! It’s math
Answer:
RP=21
Step-by-step explanation:
I started with 111 divided by 37 which gave me 3 and to be safe I did 51 divided by 3 which did give me 17 so then I just did 63 divided by 3 and got 21.
What is the value of X?
Intersecting Chords (Lengths)
Answer:
x = 4
Step-by-step explanation:
(8)(7) = 14x
14x = 56
x = 4
Question 2 of 10
For which sample size (n) and sample proportion () can a normal curve be
used to approximate the sampling distribution?
A. n = 65; p = 0.9
O B. n = 35; p = 0.9
C. n = 35; p = 0.8
O D. n = 65; 6 = 0.8
Answer:
n = 65; p = 0.8
Step-by-step explanation:
The sample size (n) and sample proportion () can a normal curve be
used to approximate the sampling distribution is n = 65, p = 0.8.
The correct option is D.
According to the Central Limit Theorem, the shape of sample distribution of sample proportions with a population proportion, 'p' is normal
If n·p ≥ 10 and n·(1 - p) ≥ 10.
n = 65, p = 0.8
∴ n·p = 65 x 0.8 = 52 > 10
n·(1 - p) = 65 × (1 - 0.8) = 13 > 10
For n = 90, p = 0.9, n·(1 - p) = 18 > 10, a normal distribution can be used to approximate the sampling distribution.
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When the temperature stays the same, the volume of a gas is inversely proportional to the pressure
of the gas. If a balloon is filled with 45 cubic inches of a gas at a pressure of 14 pounds per square
inch, find the new pressure of the gas if the volume is decreased to 15 cubic inches.
15
A) 28 pounds per square inch
B) pounds per square inch
14
D) 39 pounds per square inch
C) 42 pounds per square inch
If P= (-3,5) and Q= (1,9), find the equation of the circle that has segment PQ as a diameter
Answer:
The equation of the circle is;
(x - [(-1))² + (y - [7])² = 8
Step-by-step explanation:
The given coordinates of the points P and Q are;
P = (-3, 5) and Q = (1, 9)
To find the equation of the circle that has segment PQ as a diameter
The equation of a circle is (x - h)² + (y - k)² = r²
Where;
(h, k) = The coordinates of the center of the circle
r = The radius of the circle
Given that segment PQ is the diameter of the circle, we have;
The center of the circle, O = The midpoint of PQ
The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)
∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)
Therefore;
h = -1, k = 7
From PQ = The diameter of the required circle, we also have;
The length of PQ = 2 × (The radius of the circle) = 2 × r
The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2
Therefore;
The length of PQ = 4·√2 = 2 × r
r = (4·√2)/2 = 2·√2
r = 2·√2
r² = (2·√2)² = 8
r² = 8
The equation of the circle is therefore;
(x - h)² + (y - k)² = r²
(x - (-1))² + (y - 7)² = 8.
Select ALL that have the same value as 60% of 94. 0.06 x 94 0.06 x 94 0.6 x 94 0.6 x 94 60/100 x 94 60/100 x 94 60 x 94
Answer:
0.6 x 94, 60/100 x 94
Step-by-step explanation:
0.6 = 60% of 1.
60/100 also = 60% of 1
Which list shows all the factors of 48? A. 1, 2, 4, 6, 8, 12, 24, 48 B. 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 48 C. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 D. 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 48
Answer:
C. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Please help me with this
Answer:
i dont know
Step-by-step explanation:
Which letter has two lines of symmetry? Y S M X
plzz help due tomorrow
Answer:
X
Step-by-step explanation:
one is going vertical and the the other is horizontal
Picture is attached
Answer:
30.25 pi
Step-by-step explanation:
A circumference is pi times diameter, so the radius would be 5.5 inches. The formula for the area is pi r squared so just plug in 5.5 as the r.
HEY
QUICK Question? How AM I suppose to solve using the Pythagoras's theorem
Step-by-step explanation:
heyy
so a Pythagoras theorem always works on a right angle triangle only
the longest side that is the side not involved in the right angle triangle is called the hypotenuse
the other two involved sides are called legs
so we say one leg is a
other leg is b
and hypotenuse is c
the formula is a²+b²=c²
so if a= 4cm
b=3cm
then find c
so a²+b²=c²
so 16+9=25
so square root of 25 is 5²
so c is equal to 5 cm
also if you want to check if the triangle is a right angled triangle then we should perform this theorem in which all three values will be given but you just need to solve and check if it satisfies
thanks for asking
pls gimme brainliest I need it
Please help and explain how u got the answer
Answer: 258
Step-by-step explanation: add the numbers all together
Answer:
102
Step-by-step explanation:
all quadrilaterals have a sum of interior angles= 360
Therefore, you subtract the angles you have so far from 360 so. 360-78-66-114=102
Which of the following sets of measurements CANNOT represent the three side lengths of a triangle? A 3 cm, 3 cm, 3 cm B 3 cm. 4 cm, 5 cm C 3 cm, 5 cm, 7 cm D 3 cm, 6 cm. 9 cm
Answer:
D. 3 cm, 6 cm. 9 cmStep-by-step explanation:
As here,
3 cm + 6 cm = 9cm. = 9cm
And as we know,
According to Triangle Inequality Property,
Measurement of any two sides of a triangle is always greater than the third side.
But here,
Sum of two sides is same as the third side,
So,
Option D is the required answer.
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
The system of equations {c=52+8dc=82+3d can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Both plans would cost $
if
gigabytes of data are used.
Answer:
a) 6 gigabytes
b) $100
Step-by-step explanation:
Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
For the first smartphone
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.
Equation =
c = 52 + 8d
For the Second smartphone
A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.
Equation =>
c = 82 + 3d
How many gigabytes would have to be used for the plans to cost the same?
We would equate both cost to each other
52 + 8d = 82 + 3d
Collect like terms
8d - 3d = 82 - 52
5d = 30
d = 30/5
d = 6
Therefore,
a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.
b) The cost of both plans if 6 gigabytes is used =>
c = 52 + 8d
c = 52 + 8 × 6
c = $100
