Aaron has a box that has a length of 12 inches, a width of 6 inches, and a height of 9
inches. What is the volume of the box?
Answer:
649 inches cubed or in^3
Step-by-step explanation:
multiply all 3
so 12 x 6 x 9 =
648
What two things need to be true in order for a number to be written in
scientific notation?
Answer:
A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.
If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...
Karthik borrows 1200 from junaid for 2 years for 20% rate of interest how much karthik should play to compound annually
Answer:
1728
Step-by-step explanation:
1200 borrowed for 2 years at 20% compounded annually ;
Using the compound interest formula :
A = P(1 + r/n)^nt
P = 1200 = principal
Time, t = 2 years
Rate, r = 20% = 0.2
A = 1200(1 + 0.2)^2
A = 1200(1.2)^2
A = 1200 * 1.44
A = 1728
Final amount to be repayed = 1728
What is the solution to the equation x3 = 8 /27?
A. x = ± 2/7
B. x = ± 2 /3
C. x = 2/27
B. x = 2/ 3
Answer: x=2/3
Step-by-step explanation:
x3=8/27
(x)^3=(2*2*2)/(3*3*3)
(x)^3=(2)^3/(3)^3
(x)^3=(2/3)^3
same power got cancel
x=2/3
A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20
Answer:
753.6 cubic units
Step-by-step explanation:
A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20
The volume of the pipe formula is given as:
Use pi ≈ 3.14 r=2 R=4 h=20
Volume =h × π (R² -r²)
Volume =20 × 3.14 × (4² - 2²) cubic units
Volume = 62.8 × ( 16 - 4) cubic units
= (62.8 × 12 )cubic units
= 753.6 cubic units
A circular table top has a radius of 24 inches.
What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
75 in.2
151 in.2
1809 in.2
7235 in.2
Answer:
1809 in.2.
Step-by-step explanation:
So we know that the formula of a circle's area is r^2 * pi.
In this case, the radius is 24 inches. 24^2 = 576. They tell us to use 3.14 for pi.
576 * 3.14 = 1808.64.
The area is 1808.64, which rounds up to 1809 in.2.
Hope this helps!
Answer:
c
Step-by-step explanation:
1809 in.2.
Please help me with 1,2 I need help show me how you get the answer and the solution for both please
Answer:
1) 13 ft.
2) 23.3 m (when rounded to 1 dp)
Step-by-step explanation:
The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.
1) Question 1
The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:
[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2[/tex]
Take the square root of both sides
[tex]\sqrt{169}=\sqrt{c^2} \\13=c[/tex]
Therefore, the length of the ladder is 13 ft.
2) Question 2
The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:
[tex]20^2+12^2=c^2\\400+144=c^2\\544=c^2[/tex]
Take the square root of both sides
[tex]\sqrt{544}=\sqrt{c^2} \\23.3=c[/tex]
Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.
I hope this helps!
Answer:
Step-by-step explanation:
Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft ( i think)
second one hard srry i not smort forgot how to do person above me correct
given x=1/3y+5/3 and xy-x=2y+1
Solve for x and y simultaneously
Pls help me
NO LINKS OR I WILL REPORT
Answer:
40 + x is correct!
Step-by-step explanation:
Answer:
i think 40 plus X
Step-by-step explanation:
Show whether each value in the set {2,3,4} is a solution of the equation x + 2 = 6.
PLEASE HURRY. THIS IS DUE IN 7 MINUTES
Answer:
4
Step-by-step explanation:
Plug in each given value into the expression to see if it is true.
Set given: {2 , 3 , 4}
Equation given: x + 2 = 6
First, plug in 2 for x. When x = 2:
x + 2 = 6
(2) + 2 = 6
4 ≠ 6.
Next, plug in 3 for x. When x = 3:
x + 2 = 6
(3) + 2 =6
5 ≠ 6.
Finally, plug in 4 for x. When x = 4:
x + 2 = 6
(4) + 2 = 6
6 = 6 (True).
In the given set, only 4 complete the equation.
~
How can-9 4/5
be expressed as the sum of its integer and fractional parts?
The fraction -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5
Expressing How can-9 4/5 as the sum of its integer and fractional partsThe integer part of a mixed number is the whole number portion, while the fractional part is the remaining fraction.
In this case, the integer part of -9 4/5 is -9, and the fractional part is 4/5.
To express the mixed number as the sum of its integer and fractional parts, we simply add the integer and the fraction:
So, we have
-9 + 4/5
When evaluated, we get
-9 + 4/5 = -45/5 + 4/5 = -41/5
Therefore, -9 4/5 can be expressed as the sum of its integer and fractional parts, which is -9 + 4/5 = -41/5.
Read more about fractions at
https://brainly.com/question/1330447
#SPJ1
AABC is dilated by a factor of 5 to produce AA'B'C:
37
5
53
B
3
с
What is A'C, the length of AC after the dilation? What is the measure of A?
A. A'C' = 25, m A'= 37
B. A'C' = 15, m A'= 53
C. A'C' = 25, m A' = 185
D. A'C' = 1, m.A'= 37*
Answer: its A
Step-by-step explanation:
Trust me I learned the hard way
The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
here, we have,
We have given that,
Triangle ABC is dilated by a factor of 4 to produce AA'B'C'.
The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.
Then the length of AC after dilation. We have
A'C' = scale factor x AC
A'C' = 4 x 5
A'C' = 20
Then the measure of the angle ∠A' will be
There is no effect of dilation on the angle.
∠A = ∠A' = 37°
Thus, the correct option is A.
More about the dilation link is given below.
brainly.com/question/2856466
#SPJ5
Mason cuts a giant circular cookie into 5 equal pieces. Which statements are true about the angle measures of the pieces. Pls answer!
Answer:
360 divided by 5 equal pieces equals to 72 a whole circle is 360 degrees
Step-by-step explanation:
Im sorry if im wrong
What number is 56% of 161?
Answer: 287.50
Hope this helps!
Answer:
It is 90.16
Step-by-step explanation:
You can do this quite simply actually.
First, convert the 56 percentage into a decimal.
So, it is .56.
Then all you need to do is multiply .56 x 161 and it will give you 90.16!
Hope this helps and if you can, rate and thank so more people can be helped :)!
Have a great day!
I need to know rn PLSS GUYS HELPPPPP
Answer:
X=4
Step-by-step explanation:
We just have to see what equals 22 added with 6 and 16+6=22 and 16/4=4
Answer:
x=4
Step-by-step explanation:
First, we need to get rid of the integers:
4x = 22-6
Now, we solve that part:
4x = 16
If 4x is 16, then what is x? To solve this, we divide each side of the equation by 4:
x=4
Hope this helps!
PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANNIEST
( PLEASE SHOW WORK OR I MIGHT NOT GIVE BRAINIEST )
Because results has been normally distributed and every group of 100 people would have different heights .
Josef left a 22% tip on a $120 dinner bill.
How much was the tip?
Answer:
$26.40
Step-by-step explanation:
22% = 0.22
120(0.22) = 26.4
PLEASE HELP ME !!! IT’S DUE TODAY !!!
Answer:
Bru how can u not know that
Step-by-step explanation:
1. 2 pieces
2. 0.008
3. 4 pieces
4.0.016
5. 8 pieces
6.0.32
7.16
8.0.64
One year British columbia had 6149 police officers and a total population of 3282000 Nova scotia had 1542 police officers and a total population of 900000 which province had the greater number of people per police officer
Answer: Nova Scotia
Step-by-step explanation:
British Columbia people per police officer:
= Population number / no. Of policemen
= 3,282,000/6,149
= 534 people per policeman
Nova Scotia
= 900,000 / 1,542
= 584 people per policeman
Please help I’ll make you the brainiest
Alex baked a cake for his birthday. At the party his guests ate ⅔ of the cake. The next day, he ate ½ of the rest of the cake. How much of the original cake did Alex eat?
I will mark as brainliest. Thank you!
Answer:
2
24
5
4
Step-by-step explanation:
The given recipe makes 8 bags.
To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.
Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.
To show the mathematical way:
Variable w = number of cups of raisins
1/8 = w/16
Cross multiply
1 × 16 = 8 × w
16 = 8w
2 = w
2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?
Set up an equation:
Variable x = number of bags
2/8 = 6/x
Cross multiply
2 × x = 8 × 6
2x = 48
x = 24
6 cups of pretzels will make 24 bags.
If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?
Variable y = number of cups of crackers
Set up equation:
0.5/2.5 = 1/y
Cross multiply
0.5 × y = 2.5 × 1
0.5y = 2.5
y = 5
1 cup of pecans will need 5 cups of crackers
2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?
Variable z = number of bags
Set up equation:
2/8 = 1/z
Cross multiply
2 × z = 8 × 1
2z = 8
z = 4
The radius of the earth is 6378.1 km what is circumfrence of the earth in metres in standard form how many times can light encircle the earth per second
Answer:
Two things we need to remember:
Speed of light = c = 299,792,458 m / s
This means that the light in one second covers a distance of 299,792,458 m
And for a circle of radius R, the is:
C = 2*pi*R
where:
pi = 3.14
Then if the radius of the earth is 6,378.1 km, then the of the earth is:
C = 2*(3.14)*6,378.1 km = 40,054.468 km
And we know that 1 km = 1000m
Then the circumference of the earth is:
C = (40,054.468*1000) m = 40,054,468 m
Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)
We know that in one second the light can cover a distance of: 299,792,458 m
And the circumference of the earth is: 40,054,468 m
The quotient between these two distances is the number of times that the light can encircle the earth:
N = (299,792,458 m)/(40,054,468 m) = 7.5
So light could encircle the earth 7.5 times per second.
please help meeeeeeeee
Answer:
Ues math w/a/y
Step-by-step explanation:
ues it
Find the area of the regular polygon.
10
5 divided by 3
Answer:
Start by setting it up with the divisor 3 on the left side and the dividend 105 on the right side like this:
3 ⟌ 1 0 5
Step 2:
The divisor (3) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
3 ⟌ 1 0 5
Step 3:
Multiply the divisor by the result in the previous step (3 x 0 = 0) and write that answer below the dividend.
0
3 ⟌ 1 0 5
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
3 ⟌ 1 0 5
- 0
1
Step 5:
Move down the 2nd digit of the dividend (0) like this:
0
3 ⟌ 1 0 5
- 0
1 0
Step 6:
The divisor (3) goes into the bottom number (10), 3 time(s). Therefore, put 3 on top:
0 3
3 ⟌ 1 0 5
- 0
1 0
Step 7:
Multiply the divisor by the result in the previous step (3 x 3 = 9) and write that answer at the bottom:
0 3
3 ⟌ 1 0 5
- 0
1 0
9
Step 8:
Subtract the result in the previous step from the number written above it. (10 - 9 = 1) and write the answer at the bottom.
0 3
3 ⟌ 1 0 5
- 0
1 0
- 9
1
Step 9:
Move down the last digit of the dividend (5) like this:
0 3
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
Step 10:
The divisor (3) goes into the bottom number (15), 5 time(s). Therefore put 5 on top:
0 3 5
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
Step 11:
Multiply the divisor by the result in the previous step (3 x 5 = 15) and write the answer at the bottom:
0 3 5
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
1 5
Step 12:
Subtract the result in the previous step from the number written above it. (15 - 15 = 0) and write the answer at the bottom.
0 3 5
3 ⟌ 1 0 5
- 0
1 0
- 9
1 5
- 1 5
0
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 105 divided by 3 calculated using Long Division is:
35
0 Remainder
Step-by-step explanation:
Answer:
5 half of the e
Step-by-step explanation:
Kwan recorded two sets of data.
Set 1: 9, 13, 6, 18, 15, 19, 20
Median: 15
Lower Quartile: 9
Upper Quartile: 19
Range: 14
IQR: 10
Set 2: 9, 13, 6, 18, 15, 19, 20, 63
Median: 16.5
Lower Quartile: 11
Upper Quartile: 19.5
Range: 57
IQR: 8.5
One set of data shows an outlier. Which measure of spread was most impacted by the outlier?
PLEASE HELP ASAP IM BEGGING
Answer:
Set 2 contains an outlier. The outlier would be 63. I would say the most affected measure of spread is the range.
Please i need help with this one
Answer:
Step-by-step explanation:
use formula
F = 1/2*sqrt[ 4* r^2 -CD^2 ]
F = 4.4721
Number line stuff please help
Answer:
Step-by-step explanation: Last one
Answer:
[tex]x\geq 6[/tex]
Step-by-step explanation:
The last answer listed
The Wilsons have triplets and another child who is 14 years old. The sum of the ages of their children is 38. How old are the triplets? Please give me the equation!! Correct answer will get brainliest
Answer:
Each age of the triplets should be 8 years old.
Step-by-step explanation:
38-14=24
24 divided by 3 = 8
Answer:
Triplets are 8 not sure on the equation but I think its y = 8x + 38.
Step-by-step explanation:
I'm assuming that all their ages together equal 38 therefore I would take,
38 - 14 = 24; this means that the triplets ages added together equal 24. Since triplets means 3 I will take,
24 dived 3 = 8.
I check my work by doing 14 + 8 + 8 + 8 = 38.
you asked for an equation I'm sure what you mean but I can try; I'm putting it into slope intercept form.
y = 8x + 38
The radius of a sphere is 2.4 cm. Find the volume of the sphere.