Expression to simplify: [tex]\frac{8b}{a^{-5} }[/tex]
Remember, when a number has a negative power, it reciprocates (flips over)
First lets write the expression so that the a is in a fraction by itself:
[tex]\frac{8b}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex]
So to simplify, all we do is reciprocate [tex]\frac{1}{a^{-5} }[/tex] and make the power positive:
[tex]8b[/tex] × [tex]\frac{1}{a^{-5} }[/tex] = [tex]8b[/tex] × [tex]a^{5}[/tex]
=[tex]8a^{5}b[/tex]
----------------------------------------------
Answer:
[tex]8a^{5}b[/tex]
The correct simplification Expression is [tex]8b/a^-5[/tex]
The correct simplification of the expression "8 times b over a to the power of -5" is [tex]8b/a^-5[/tex]. This can be simplified by using the following rule:
[tex]x^m \times x^n = x^ \ (m + n)[/tex]
Therefore, we can rewrite the expression as:
[tex]8b/a^-5 = 8b \times a^5[/tex]
We can then multiply the numerator and denominator by 8 to get:
[tex]8b \times a^5 = 64b \times a^5[/tex]
Finally, we can rearrange the factors to get:
[tex]64b \times a^5 = 8a^5 \times b[/tex]
Therefore, the simplified expression is [tex]8a^5 \times b.[/tex]
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Four friends went on vacation with their family over the summer. Harlin’s family drove 363 miles in 6 hours, Kevin went 435 miles in 7 hours, Shanna drove 500 miles in 8 hours, Hector drove 215 miles in 5 hours. Which family drove the fastest?
Answer:
Shanna's family
Step-by-step explanation:
d/t = r (distance/time = rate)
Harlin: 363/6 = 60.5 mph
Kevin: 435/7 = 62.14 mph
Shanna: 500/8 = 62.5 mph
Hector: 215/5 = 43 mph
What is the measure?
We know that because it forms a right angle, BOF is 90 degrees. We also know that FAO and AOB combine to make 90 degrees.
We already know the value of FOA, so subtract that from 90.
90-35=55.
The measure of AOB is C. 55.
Hope this helps!
Lines g and h are parallel and m 1 = 45°
What is m 2 8?
Answer:
m<5 = 45 deg
Step-by-step explanation:
Since lines g and h are parallel, you have a transversal cutting parallel lines. Then, corresponding angles are congruent.
Angles 1 and 5 are corresponding angles, so they are congruent, and their measures are equal.
m<5 = m<1 = 45 deg.
Angles 5 and 8 are vertical angles, so they are congruent, and their measures are equal.
m<8 = m<5 = 45 deg
Answer: m<5 = 45 deg
Use the properties of exponents to rewrite the expression
3•b•b•b•b•b•c•c•c•c•c
Using the properties of exponents the expression rewritten as
3 • b^5 • c^5
How can the expression be rewritten using the properties of exponents?You can group the repeated factors (b and c) and use exponents to represent their multiplication.
The expression 3•b•b•b•b•b•c•c•c•c•c can be written as:
(3)•(b•b•b•b•b)•(c•c•c•c•c)
This can be further simplified by raising b and c to their respective exponents:
(3)•(b^5)•(c^5)
Therefore, the rewritten expression is 3•b^5•c^5.
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Solve the following system of equations using any method
2x+6y+4z=−42
4x+3y+8z=−39
4x+3y+2z=3
Answer:
the values of x, y and z are: x=8, y = -5 and z = -7
Step-by-step explanation:
2x+6y+4z=−42 eq(1)
4x+3y+8z=−39 eq(2)
4x+3y+2z=3 eq(3)
We would solve the above equations using elimination method.
Subtracting eq(3) from eq(2)
4x+3y+8z=−39
4x+3y+2z=3
- - - -
_____________
0+0+6z = -42
z = -42/6
z = -7
Multiplying eq(1) with 2 and subtracting with eq(2)
4x + 12y +8z = -84
4x +3y +8z = -39
- - - +
_______________
0+9y+0=-45
9y = -45
y = -45/9
y = -5
Putting value of y and z in eq(1)
2x + 6y +4z = -42
2x + 6(-5) +4(-7) = -42
2x -30 -28 = -42
2x -58 = -42
2x = -42 +58
2x = 16
x = 16/2
x= 8
So, the values of x, y and z are: x=8, y = -5 and z = -7
which quadratic equation is equivalent to (x-2)^2+5(x+2)-6=0
Answer:
x² + x + 8 = 0
Step-by-step explanation:
Given
(x - 2)² + 5(x + 2) - 6 = 0 ← expand (x - 2)² and distribute parenthesis by 5
x² - 4x + 4 + 5x + 10 - 6 = 0 ← collect like terms on left side
x² + x + 8 = 0 ← equivalent quadratic equation
Answer:
x² + x + 8 = 0
Step-by-step explanation:
(x-2)^2 + 5(x+2) - 6=0 { (a-b)² = a² -2ab + b²; here a = x & b = 2}
x²- 2*x*2 + 2² + 5 x + 10 -6 = 0
x² - 4x + 4 + 5x + 10 - 6 = 0
x² + x + 4 + 10 - 6 = 0
x² + x + 8 = 0
At a competition with 6 runners, 6 medals are awarded for first place through sixth place. Each medal is different. How many ways are there to award the medals? Decide if the situation involves permutation or a combination, and then find the number of ways to award the medals
Answer:
There are 720 ways to award the medals
Step-by-step explanation:
* Lets explain the difference between permutations and combinations
- Both permutations and combinations are collections of objects
- Permutations are for lists (order matters)
- Combinations are for groups (order doesn't matter)
- A permutation is an ordered combination.
- Permutation is nPr, where n is the total number and r is the number
of choices
# Example: chose the first three students from the group of 10
students, n = 10 and r = 3,then 10P3 is 720
- Combinations is nCr, where n is the total number and r is the number
of the choices
# Example: chose a group of three students from the group of 10
students n = 10 and r = 3,then 10C3 is 120
* Lets solve the problem
- There are six runner
- There are 6 medals awarded for first place through sixth place
- Each medal is different
- The order is important because they arranged from 1st position to
the 6th position
∴ We will use the permutation
∵ There are 6 medals for 6 runners
∵ 6P6 = 6 × 5 × 4 × 3 × 2 × 1 = 720
∴ There are 720 ways to award the medals
(-32)^3/5
a, 1/8
b, -8
c, no real number
Answer: option b.
Step-by-step explanation:
You need to remember that:
[tex]b^\frac{m}{n}=\sqrt[n]{b^m}\\\\\sqrt[n]{a^n}=a[/tex]
Then, you can rewrite [tex](-32)^\frac{3}{5}[/tex] as:
[tex]=\sqrt[5]{(-32)^3}[/tex]
Now you need to descompose 32 into its prime factors:
[tex]32=2*2*2*2*2=2^5[/tex]
Rewriting:
[tex]=\sqrt[5]{(-2^5)^3}[/tex]
The power of a power property states that:
[tex](a^b)^c=a^{(bc)}[/tex]
Then:
[tex]=\sqrt[5]{(-2)^{15}}=(-2)^3=-8[/tex]
There is a bag filled with 5 blue, 6 red and 2 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?
Answer: 11/156
Step-by-step explanation: There are 13 marbles at the beginning, and 12 at the end.
13 x 12 = 156
Since there are 2 marbles being picked from the 13, subtract 2 from 13.
13-2 = 11
The probability of choosing different colors is 11/156.
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72
Answer:
Proved,
P(A∪B)=0.72
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Probability( catch the bus to the shop ), P(A) = 0.4
Probability( catch the bus from the shop ), P(B) = 0.7
Both A and B are independent events.
Therefore,
P(A∩B) = 0.4×0.7
= 0.28
Probability Sue walks one way = 1 - P(A∩B)
= 1 - 0.28
= 0.72
Hence, the probability that Sue walks at one way is 0.72
The probability that Sue walks one way is 0.18, derived by subtracting the probability that Sue takes a bus one way (0.82) from 1.
Explanation:The question refers to the probability involving Sue's mode of transport to and from the shops. To show the probability that Sue walks one way, we need to first determine the probability that she takes a bus either to or from the shops, since taking a bus one way implies she walked the other way.
The probability that Sue takes a bus to the shops OR from the shops, but not both, can be calculated using the formula: P(A U B) = P(A) + P(B) - P(A ∩ B). In this case, A represents the probability Sue takes a bus to the shop (0.4) and B represents the probability she takes a bus from the shop (0.7). P(A ∩ B) is the probability she takes a bus both ways, which is 0.4 * 0.7 = 0.28.
Therefore, the probability she takes the bus one way is P(A U B) = 0.4 + 0.7 - 0.28 = 0.82.
Since Sue either takes a bus or walks, the sum of these two probabilities should be 1. Therefore, the probability Sue walks one way is 1 - the probability she takes the bus one way = 1 - 0.82 = 0.18, not 0.72 as suggested in the question.
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Can some one help me
Answer:
5/6
Step-by-step explanation:
Dividing fractions:
Step 1: Rewrite the first fraction as it is.
Step 2: Replace the division sign with a multiplication sign.
Step 3: Flip the second fraction.
Step 4: Multiply the fractions and reduce the product if necessary.
Let's use the rule of dividing fractions on your problem.
Step 1: Rewrite the first fraction as it is.
[tex] \dfrac{5}{8} [/tex]
Step 2: Replace the division sign with a multiplication sign.
[tex] \dfrac{5}{8} \times [/tex]
Step 3: Flip the second fraction.
[tex] \dfrac{5}{8} \times \dfrac{4}{3} [/tex]
Step 4: Multiply the fractions and reduce the product if necessary.
To multiply fractions, multiply the numerators together, and multiply the denominators together.
[tex] \dfrac{5}{8} \times \dfrac{4}{3} = \dfrac{5 \times 4}{8 \times 3} = \dfrac{20}{24} [/tex]
We notice that the greatest common factor of 20 and 24 is 4, so we divide both the numerator and denominator by 4 to reduce the fraction.
[tex] = \dfrac{4 \times 5}{4 \times 6} = \dfrac{5}{6} [/tex]
If A = (4, -5) and B = (7, -9), what is the length of AB ? A. 6 units B. 5 units C. 8 units D. 7 units
Answer:
D
Step-by-step explanation:
Answer:
5 (Answer B)
Step-by-step explanation:
As we move from A to B, x increases by 3 and y decreases by 4. Apply the Pythagorean Theorem:
(length of AB) = √(3² + [-4]²) = 5 (Answer B)
Consider the two functions. F(x)=x^2-8x+7
Do the minimal of the two functions have the same x-value?
Which of the function has the greater minimum?
The given function F(x) = x^2-8x+7 has a minimum point of (4, -9). This is found by using the formula for the vertex of a quadratic function.
Explanation:This question seems to be incomplete as only one function, F(x) = x^2-8x+7, is provided. However, I can still help you find the minimum of this function. A quadratic function, such as this one, has a minimum or maximum at its vertex. The x-coordinate of the vertex (h) can be found using the formula h = -b/2a.
In this function, a = 1 and b = -8, so h = 8/2 = 4. So the minimum point of the function is at x = 4. To find the corresponding y value, we substitute x = 4 in our function. F(4) = 4^2-8*4+7 = -9. So the minimum point of F(x) = x^2-8x+7 is (4, -9).
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For f(x)=2x+3 and g(x)=x^2- 8 find (f+g) (x)
Answer:
C
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = 2x + 3 + x² - 8 ← collect like terms
= x² + 2x - 5 ← in standard form → C
Identify the discontinuity and zero of the function f(x) = 3x/x^2-9
ANSWER
Point if discontinuity:
[tex]{x}= \pm3[/tex]
Zero of the function is
[tex]x = 0[/tex]
EXPLANATION
The given rational function is:
[tex]f(x) = \frac{3x}{ {x}^{2} - 9} [/tex]
This function is not continous when
[tex] {x}^{2} - 9 = 0[/tex]
[tex] {x}= \pm \sqrt{9} [/tex]
[tex]{x}= \pm3[/tex]
The function is zero when,
[tex]3x = 0[/tex]
[tex]x = 0[/tex]
PLEASE HELP! Since AB=1 and 1=BC, BC=AB by which property?
Is it substitution or transitive and why?
Substitution.
Here is an example.
Let x be equal to 3 and y equal to 3.
[tex]x=3, y=3[/tex]
From this we can conclude that the values of both x and y are equal to three therefore x and y have the same value and are equal.
[tex]x\wedge y=3\Longrightarrow x=y[/tex]
Here in your case we have:
[tex]
AB=1, BC=1 \\
AB\wedge BC=1\Longrightarrow AB=BC[/tex]
Hope this helps.
r3t40
use the formula V= πr²h, where π ≈ 22/7 to estimate V when r = 3 feet and h = 10
Use the formula V= πr²h
π = [tex]\frac{22}{7}[/tex]
r = 3 ft
h = 10 ft
^^^^Plug these numbers into their corresponding spot into the formula given above
V = [tex]\frac{22}{7}[/tex]×[tex]3^{2}[/tex]×10
To evaluate apply the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
Parentheses
There are none so go on to the next step
Exponent
[tex]3^{2}[/tex] = 9
so...
V = [tex]\frac{22}{7}[/tex]×9×10
Multiplication (multiply from left to right)
V = [tex]\frac{198}{7}[/tex]×10
V = [tex]\frac{1980}{7}[/tex]
V ≈ 282.857 ft³
Hope this helped!
~Just a girl in love with Shawn Mendes
Solve for x: −2(x + 3) = −2x − 6
a 0
b 3
c all real numbers
d no solution
Answer: Option C
all real numbers
Step-by-step explanation:
We have the following equation
[tex]-2(x + 3) =-2x - 6[/tex]
We must solve for the variable x
[tex]-2(x + 3) =-2x - 6[/tex]
Apply the distributive property of the left side of equality
[tex]-2*x -2*3 =-2x - 6[/tex]
[tex]-2x -6 =-2x - 6[/tex]
Add 6 on both sides of equality
[tex]-2x -6 +6=-2x - 6+6[/tex]
[tex]-2x=-2x[/tex]
Divide between -2x on both sides of the equation
[tex]\frac{-2x}{-2x}=\frac{-2x}{-2x}[/tex]
[tex]1=1[/tex]
The variable x is eliminated. This means that equality does not depend on the value of x. In other words, equality is satisfied for any value of x. Therefore the equation has infinite solutions
The answer is all real numbers
Answer:
all real numbers
Step-by-step explanation:
trust me it will pay off
Using 7 1/2 / 3/4 = 60/6=10 interpret the meaning of the quotient in terms of the two fractions given
Answer:
Here's what I get.
Step-by-step explanation:
[tex]x = 7\frac{1}{2} \div \frac{3}{4}[/tex]
1. Convert the mixed number to an improper fraction
[tex]x = \dfrac{15}{2} \div \dfrac{3}{4}[/tex]
2. Invert the proper fraction and change division to multiplication
[tex]x = \dfrac{15}{2} \times \dfrac{4}{3}[/tex]
3. Multiply numerators and denominators
[tex]x = \dfrac{60}{6}[/tex]
4. Divide the numerator and the denominator
[tex]x = 10[/tex]
The quotient is what you get after you invert the denominator in Step 2 and then multiply the two fractions in Step 3.
Here I'm assuming 7 1/2 / 3/4 is [tex]7\frac{1}{2} / \frac{3}{4}[/tex]
So let's solve, this first convert the mixed fraction into an improper fraction that is its ideal form to solve an equation
[tex]7\frac{1}{2} = \frac{15}{2}[/tex]
therefore,
= [tex]\frac{15}{2} /\frac{3}{4}[/tex]
= [tex]\frac{15}{2} * \frac{4}{3}[/tex]
= 5 * 2
= 10
What is a mixed fraction?
A mixed fraction is a combination of a whole number and proper fraction.
What are improper fractions and proper fractions?Improper fractions and proper fractions are the types of fraction numbers (A fraction number which is written in the form of a/b i.e., " [tex]\frac{a}{b}[/tex] " in which a is called as numerator and b is denominator). A fraction is called improper fraction when its numerator is greater than its denominator and for proper fraction, it's vice versa.
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I’m so confused on this. Someone please help, please and thank you <3
Step-by-step explanation:
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have
A(0, 0), C(a, b)
[tex]AC=\sqrt{(a-0)^2+(b-0)^2=\sqrt{a^2+b^2}[/tex]
B(a, 0), D(0, b)
[tex]BD=\sqrt{(0-a)^2+(b-0)^2}=\sqrt{(-a)^2+b^2}=\sqrt{a^2+b^2}[/tex]
Therefore AC = BD.
Given: AB= 4
AD= 6
What is the length of BD?
2
4
6
Answer:
BD=AD-AB=6-4=2
Step-by-step explanation:
You have a line segment AD that measures 6 units
AB is part of it and it is 4 units
There is only one part left of AD and it is BD so you just find what's left of 6 if 4 is already spoken for.
For this case we have that the radius of the large circle is given by AD = 6, while the radius of the small circle is given by AB = 4. We want to know the length BD, that is, the difference of the radius of the big circle and the small one.
[tex]BD = AD-AB = 6-4 = 2[/tex]
So, [tex]BD = 2[/tex]
Answer:
[tex]BD = 2[/tex]
How to convert GPA points in percentage?
and convert GPA(3.55) into percentage?
Answer:
3.55 as a percentage is around an 80%
Step-by-step explanation:
1. Divide the number by 20.
2. Subtract 1 from that number.
Answer:
Somewhere around 80%
Step-by-step explanation:
Write a rule that expresses the number of quarts q of a liquid as a function of the number of pints p.
Answer:
1q = 2p
Step-by-step explanation:
One quart of liquid is the equivalent of 2 pints... one of the rare easy measures in the American measure system.
So, the equation needs to have 1 quart on one side, and 2 pints on the other side. It's an equation because both values are equal, just expressed in different units.
1 quart = 2 pints, then rewritten to match the variables given in the question:
1q = 2p
ALL MY POINTS NEED ANSWER NOW!
(See attached image)
Answer:
Number One
Step-by-step explanation:
This is because a natural number is a positive integer so it can't be 2,3,or 4 so the only other option is 1!!
Simplify 8 over negative 4 divided by negative 3 over 9.
6
−6
12
−12
please help
Answer:
The answer is 6
Step-by-step explanation:
WILL MARK BRAINLIEST
Which expression represents the surface area of the cone?
Answer:
Third option
Step-by-step explanation:
By observing the diagram we can see that the diameter of circular base is 6 inches. The diameter will be sued to find the radius.
r = 6/2 = 3 inches
We can also see from the diagram that lateral height denoted by l is 5 in.
We know that the formula for surface area of a cone is given by:
[tex]SA = \pi rl+\pi r^2\\Putting\ the\ values\ of\ r\ and \l\\SA = \pi (3)(5)+\pi (3)^2[/tex]
Comparing it with the options we get that the third option is correct ..
Answer:
The correct answer is third option
π(3)(5) + π3²
Step-by-step explanation:
Points to remember
Surface area of cone = πrl + πr²
Where r is the radius of the cone and l is the slant height of cone
To find the correct answer
Here r = 6/2 = 3 in
l = 5 in
Surface area = πrl + πr²
= π(3)(5) + π3²
The correct answer is third option
π(3)(5) + π3²
A line passes through the point (9,-7) and has a slope of 4/3
write an equation in point-slope form for this line. First to answer correctly gets brainleist
Answer:
y+7 = 4/3(x-9)
Step-by-step explanation:
Point slope form of an equation of a line is
y-y1 = m(x-x1) where (x1,y1) is the point and m is the slope
y--7 = 4/3(x-9)
y+7 = 4/3(x-9)
Answer:
SLOPE INTERCEPT FORM: y = 4/3x - 19
POINT SLOPE FORM: y - (-7) = 4/3(x - 9)
Step-by-step explanation:
Point slope formula is y - y1= m(x - x1)
Insert the information:
➡️y - (-7) = 4/3(x - 9)
(this is point slope form)^
distribute.
➡️y + 7 = 4/3x - 12
move constants on the left side to the right, to get y = mx + b.
➡️y = 4/3x - 19
I didn't know if you just wanted point slope form or to make it slope intercept form, so here's both.
4 people can trim a hedge in 1 hour how long would it take 3 people in minutes?
The question is asking about how long it will take 3 people to trim a hedge if we know that 4 people can do it in an hour. This is an example of an inverse proportion problem. It would take the three people 45 minutes to trim the hedge.
Explanation:The question asked is about the concept of rate and inverse proportion in mathematics. The problem states that four people can trim a hedge in one hour. If three people were to do the task, they would collectively be less productive per hour, consequently, it would take them longer to trim the hedge. We can calculate the new time by setting up a proportion of 4 people / 1 hour = 3 people / x hours
Cross-multiplying gives: 4x = 3 which simplifies to x = 3/4 hours. Since there are 60 minutes in an hour, multiply the fraction by 60 to convert to minutes. Thus, it would take the three people 45 minutes to trim the hedge.
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Solve the system by the elimination method.
x + y - 6 = 0
x - y - 8 = 0
When you eliminate y , what is the resulting equation?
2x = -14
2x = 14
-2x = 14
Answer: The answer is b, 2x=14
Step-by-step explanation:
You add the equations...
2x-14=0
Move -14 over...
2x=14
Answer: The correct option is
(B) 2x = 14.
Step-by-step explanation: We are given to solve the following system of equations by the method of Elimination :
[tex]x+y-6=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x-y-8=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Also, to select the resulting equation when we eliminate y.
Adding equations (i) and (ii), we get
[tex](x+y-6)+(x-y-8)=0+0\\\\\Rightarrow 2x-14=0\\\\\Rightarrow 2x=14~~~~~~~~~~[\textup{this is the resulting equation}]\\\\\Rightarrow x=\dfrac{14}{2}\\\\\Rightarrow x=7.[/tex]
From equation (i), we get
[tex]7+y-8=0\\\\\Rightarrow y-1=0\\\\\Rightarrow y=1.[/tex]
Thus, the required solution is (x, y) = (-1, 7) and the resulting equation while eliminating y is 2x = 14.
Option (B) is CORRECT.
Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
a right cylinder with radius 4 cm
and height 3 cm
314 cu cm
a cone with radius 5 cm and
height 12 cm
160 cu cm
a pyramid with base area
16 sq cm and height 30 cm
48 cu cm
a pyramid with a square base of
length 3 cm and height 16 cm
150.72 cu cm
Answer:
The volume of the cylinder is 150.72 cm³ ⇒ last answer
The volume of the cone is 314 cm³ ⇒ 1st answer
The volume of the pyramid is 160 cm³ ⇒ 2nd answer
The volume of the pyramid is 48 cm³ ⇒ 3rd answer
Step-by-step explanation:
* Lets revise the volumes of some shapes
- The volume of the cylinder of radius r and height h is:
V = π r² h
- The volume of the cone of radius r and height h is:
V = 1/3 π r² h
- The volume of the pyramid is:
V = 1/3 × its base area × its height
* Lets solve the problem
# A cylinder with radius 4 cm and height 3 cm
∵ V = π r² h
∵ π = 3.14
∵ r = 4 cm , h = 3 cm
∴ v = 3.14 (4)² (3) = 150.72 cm³
* The volume of the cylinder is 150.72 cm³
# A cone with radius 5 cm and height 12 cm
∵ V = 1/3 π r² h
∵ π = 3.14
∵ r = 5 cm , h = 12 cm
∴ V = 1/3 (3.14) (5)² (12) = 314 cm³
* The volume of the cone is 314 cm³
# A pyramid with base area 16 cm² and height 30 cm
∵ V = 1/3 × its base area × its height
∵ The area of the base is 16 cm²
∵ The height = 30 cm
∴ V = 1/3 (16) (30) = 160 cm³
* The volume of the pyramid is 160 cm³
# A pyramid with square base of length 3 cm and height 16 cm
∵ V = 1/3 × its base area × its height
∵ The area of the square = s²
∵ The area of the base = 3² = 9 cm²
∵ The height = 16 cm
∴ V = 1/3 (9) (16) = 48 cm³
* The volume of the pyramid is 48 cm³
a right cylinder with radius 4 cm
and height 3 cm = 150.72 cu cm
a pyramid with base area
16 sq cm and height 30 cm = 160 cu cm
a pyramid with a square base of
length 3 cm and height 16 cm = 48 cu cm
a cone with radius 5 cm and
height 12 cm = 314 cu cm