Answer:
1/3
Step-by-step explanation:
pyramid height = cube height , a = h (GIVEN)
[tex]so, v= \frac{1}{3} * a^{2} * h = \frac{1}{3} * a^{3}\\a = \sqrt[3]{3v} = \sqrt[3]{3*729} = 13 in\\\\cube volume = a^{3} = 13^{3} = 2187 in^{3} \\\\ratio = \frac{729}{2187}= \frac{1}{3} (ANS)[/tex]
the diameter D of a sphere is 13m calculate the sphere volume V use the value 3.14 round your answer to the nearest tenth
Answer:
1149.8 m³
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
Here diameter = 13, thus radius = 13 ÷ 2 = 6.5
V = [tex]\frac{4}{3}[/tex] × 3.14 × 6.5³
= [tex]\frac{4}{3}[/tex] × 3.14 × 274.625
= [tex]\frac{4(3.14)(274.625)}{3}[/tex] ≈ 1149.8 m³ ( to the nearest tenth )
I don’t understand this
Answer:
-5 or 5
Step-by-step explanation:
The n is in absolute value bars. So n could either be -5 or 5
i need help please!!!
Answer:
About 78.1 square centimeters
Step-by-step explanation:
First, you need to find the areas of each individual shape, and then to subtract one from the other. The area of the circle is [tex]\pi r^2=\pi \cdot 6^2\approx 113.1[/tex]. The area of the rectangle is [tex]7\cdot 5=35[/tex]. Subtracting this from the area of the circle, you get about 78.1 centimeters. Hope this helps!
Answer:
[tex]78.09 {cm}^{2} [/tex]
Step-by-step explanation:
First find the area of the circle
[tex]\pi {r}^{2} \\ \pi \times 6 \times 6 \\ = 113.09[/tex]
Now find the area of the rectangle
[tex]b \times h \\ = 5 \times 7 \\ = 35[/tex]
Now subtract the area of the rectangle from the area of the circle.
You'll get the area of the shaded region.
[tex]113.09 - 35 \\ = 78.09 {cm}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
application of a cubic. please help!
Answer:
a. 28.
b 20.78.
Step-by-step explanation:
a. f(x) = 0.001(x - 10)(x + 20)(x - 40)
When x = 50
Height = f(40) = 0.001(50-10)(50+20)(50-40)
= 0.001(40*70*10)
= 0.001 * 28,000
= 28 units.
b.
Expanding the function we get
f(x) = 0.001(x - 10)(x^2 - 20x - 800)
f(x) = 0.001(x^3 - 30x^2 - 600x + 8000)
f(x) = 0.001x^3 - 0.03x^2 - 0.6x + 8
Finding the derivative
f'(x) = 0.003x^2 - 0.06x - 0.6
This is zero for maxm/minm values:
0.003x^2 - 0.06x - 0.6 = 0
x = 27.32, - 7.32.
The values of the heights corresponding to these values of x are:
0.001(27.32-10)(27.32+20)(27.32-40)
= -10.39. and
0.001(-7.32-10)(-7.32+20)(-7.32-40)
= 10.39.
So the distance between A and B = 10.39 - (-10.39)
= 20.78.
Which could be the entire interval over which the function,
f(x), is positive?
(-♾, 1)
(-2, 1)
(-♾,0)
(1, 4)
Answer:
(-2,1)
Step-by-step explanation:
The bracket is an opened interval
zero is neutral either positive or Negative
so the range of values in (-2,1) is -1,0 with corresponding values 2 each
hence, they're positive
Answer:
B -2,1
Step-by-step explanation:
insert three arithmetic means between 25 and 9
Answer:
21, 17, 13
Step-by-step explanation:
Find the mean of the 2 given values
mean = [tex]\frac{25+9}{2}[/tex] = [tex]\frac{34}{2}[/tex] = 17
Noe find the mean of 25 and 17 and 17 and 9
mean = [tex]\frac{25+17}{2}[/tex] = [tex]\frac{42}{2}[/tex] = 21 and
mean = [tex]\frac{17+9}{2}[/tex] = [tex]\frac{26}{2}[/tex] = 13
Thus the 3 means are 21, 17 and 13, that is
25, 21, 17, 13, 9
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2.1), m=5
Answer:
y - y1 = m (x - x1)
y - 1 = 5 ( x - (-2))
y - 1 = 5(x+ 2)
y - 1 = 5x +10
Step-by-step explanation:
Plez help with mathamaticas
A. is correct! Good job!
The correct answer is D. I found the equation, y = 6x + 1 and solved each one till it fit. y + 5 = 6(x + 1)
y + 5 = 6x + 6
-5 -5
y = 6x + 1
If you have 1,000 lbs. of plastic resin and need to mix 4% of colorant to it, how much colorant would you need to
add?
A. 50 lbs. B. 80 lbs. C. 20 lbs. D. 40 lbs.
Isosceles triangle ABC, with AB=BC, has a height, DB, of 9 inches. Angle A measures 60 degrees. How long is AC?
A. 20 inches
B. 10.40 inches
C. 18 inches
D. 9 inches
Answer:
A. 20 inches
Step-by-step explanation:
++=15
++=9
++=30
*-= ?
(The answer is not 15)
What’s the answer to the question mark?
solve with explanation -4x+5> - 5
Answer:
[tex]x < 2.5[/tex]
Step-by-step explanation:
[tex] - 4x + 5 > - 5 \\ - 4x > - 5 - 5 \\ - 4x > - 10 \\ \frac{ - 4x}{ - 4} > \frac{ - 10}{ - 4} \\ x < \frac{5}{2} \\ x < 2.5[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
help me with this thanks
Answer:
Volume of composite is 483 [tex]mm^3[/tex]
Step-by-step explanation:
We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):
Volume of the prism = 7 x 12 x 3 [tex]mm^3[/tex] = 252 [tex]mm^3[/tex]
Volume of the semi-cylinder = [tex]\frac{\pi\,\,R^2\,\,H}{2} = \frac{\pi\,\,(3.5)^2\,\,(12)}{2} =230.907 \,\,mm^3[/tex]
Therefore the sum of both volumes gives:
(252 + 230.907) [tex]mm^3[/tex] = 482.907 [tex]mm^3[/tex]
WHich can be rounded to the nearest whole number as: 483 [tex]mm^3[/tex]
The oblique pyramid has a square base.
What is the volume of the pyramid?
2.5 cm3
5 cm3
6 cm
7.5 cm
3.75 cm
2 cm
Answer:
B. 5 cm3
Step-by-step explanation:
The volume of the oblique pyramid with a square base is 3.33 cm³.
How to find the volume and base's area of a right rectangular pyramid?
Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
the base is about 2 cm long and that the height is about 2.5 cm long.
Now,
Using these values, we can estimate the volume as:
V ≈ (1/3) × Base Area × Height
V ≈ (1/3) × (2 cm)² × 2.5 cm
V ≈ (1/3) × 4 cm² × 2.5 cm
V ≈ 10/3 cm³
V ≈ 3.33 cm³
Therefore, an approximate volume of the pyramid will be 3.33 cm³.
Learn more about right rectangular pyramid here:
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IM GIVING 20 POINTS. help me please. it would be very helpful
Answer:
C) 68 cm
Step-by-step explanation:
Egyptian triangle - 3 4 5
85/5 = 17
51/3 = 17
4 times 17 = 68
51 68 85
Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of
$32 on stickers. How many packs did she buy?
Answer:
8 packs
Step-by-step explanation:
$4 = 1 pack
$32 = ?
$32 = $32/$4
$32 = 8 packs
i need help asap please help me
Answer:
28/41
Step-by-step explanation:
If the radius of a circle is 16 units, what is its circumference? (Use pie for it)
Answer: 100.53
Step-by-step explanation:
Circumference = 2 x pi x r
= 2 x 22/7 x 16
Apply the distributive property to factor out the greatest common factor.
21e + 35
Answer:
7(3x+5)
Step-by-step explanation:
When factoring out the GCF you want to find the largest number that can divide into both 21 and 35. The largest number is 7 so you divide 7 from 21e and 35.
Answer:
7(3e+5)
Step-by-step explanation:
PLEASE HELP IN URGENT NEED
Answer:
A
Step-by-step explanation:
A number divisible by 9 is also divisible by 3. This is because nine is basically just 3+3+3.
Answer:
the last one
Step-by-step explanation:
i nine is divisible by three and 3 is a factor of 9 the other one is just false
for you to understand- 9
3 3
For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.
Do the functions have the same concavity?
f(x)=-3x^(2)+12x-32
A. Yes, f and g are both concave down.
B. Yes, f and g are both concave up.
C. No, f is concave up and g is concave down.
D. No, f is concave down and g is concave up.
Answer:
A) Yes, f and g are both concave down.
Step-by-step explanation:
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 594 and a standard deviation of 96. Use the 68-95-99.7 Rule to find the
percentage of people taking the test who score below 306.
The percentage of people taking the test who score below 306 is
%.
Answer:
0.15%
Step-by-step explanation:
The Empirical Rule ( 68-95-99.7 Rule) states that almost all data falls within 3 standard deviations of the mean for a normal distribution. Under the rule:
68% of the data falls within one standard deviation. 95% percent of the data lies within two standard deviations. 99.7% of data fall within three standard deviationsGiven that:
mean (μ) = 594 and standard deviation σ = 96
68% of the data falls within μ ± σ. That is 594 ± 96. 68% fall within 498 and 69095% percent of the data lies within μ ± 2σ. That is 594 ± 2(96). 95% fall within 402 and 78699.7% percent of the data lies within μ ± 3σ. That is 594 ± 3(96). 99.7% fall within 306 and 882The percentage of people that all fall outside 306 and 882 = 100% - 99.7% = 0.3%. Therefore the percentage of people that are below 306 = 0.3% / 2 = 0.15%
If 30 people claimed that they get an average of seven hours of sleep, how many people were in the group? [Type your
answer as a number.]
Hours of Sleep
Seven
25%
Six or Less
10%
Eight
50%
Nine or more
15%
Answer:
The answer is 120 , as the 25 % of people are getting seven hour sleep and they are 30 in number . As 25% of 120 is 30 , the answer is 30
I hope it helps
Answer:
The answer is 120
what is the yintercept of the function f(x) + -2/9x + 1/3?
Answer:
+1/3
....................
Brainliest if help! A paint company wants to change the height of its cans of paint to 15 centimeters tall so when the cans sit on a shelf in a store they are more visible to customers. If the volume of the can must remain at 3818 cubic centimeters, what will be the radius of the can?
Answer:
I think it is 9.00113750385
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
The area of a cylinder is V = πr² * h, where V is the volume, r is the radius of the base and h is the height. We want to solve for r. We know the value of V and h, so let's plug those in. We get 3818 = πr² * 15, and when we divide by 15, we get 254.53 = πr². We can approximate 3.14 for π, and when we do so, we get 254.53 = 3.14r². Dividing by 3.14 gets us 81.02 = r², and when we take the square root of the equation, we get r≈9 cm. Hope this helps!
what is the value of the expression
(2/3-5/6) divided by 3/4
Answer:
Step-by-step explanation:
(2/3) - (5/6) = (-1/6)
(-1/6)/(3/4) = -2/9
The value of the expression is -4/18
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here, the expression as (2/3-5/6) / 3/4 = 4-5 /6 × 4/3
= -4/18
Hence, the value of the expression is -4/18
Learn more about the BODMAS rule here:
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What’s the area of the kite? 20 points! <33
Answer:
1200 cm²
Step-by-step explanation:
[tex]A=pq/2[/tex]
p and q are the diagonals.
[tex]A=(40)(60)/2[/tex]
[tex]A=1200[/tex]
ANSWER QUICK PLEASE
64% of what number is 192
Answer:
300
Step-by-step explanation:
300 times .64 equals 192.
Help please 10 points!
Answer:
Step-by-step explanation:
Yes, the two angles are congruent. There are two triangles here, and these triangles are congruent as well.
what is the measure of the missing angle
Answer:
42°
Step-by-step explanation:
We can see that in one leg of the right triangle we already have a 132 degree obtuse angle given. And since a line is 180 degrees, we can see that the inner acute angle of the right triangle is 180 - 132 = 48 degrees.
And since 3 angles of a triangle adds up to become 180, we can use standard algebra to find: 180 - 90 - 48 = 42 degrees.