Answer:
1 17/28 or 1.6071428571429 round: 1.61 in decimal form.
Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height, but each side of its base is 6 units long.
Answer:
The volume of pyramid B is 81 cubic units
Step-by-step explanation:
Given
Pyramid A
[tex]s = 4[/tex] -- base sides
[tex]V = 36[/tex] -- Volume
Pyramid B
[tex]s = 6[/tex] --- base sides
Required
Determine the volume of pyramid B [Missing from the question]
From the question, we understand that both pyramids are equilateral triangular pyramids.
The volume is calculated as:
[tex]V = \frac{1}{3} * B * h[/tex]
Where B represents the area of the base equilateral triangle, and it is calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where s represents the side lengths
First, we calculate the height of pyramid A
For Pyramid A, the base area is:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}[/tex]
[tex]B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 4\sqrt 3[/tex]
The height is calculated from:
[tex]V = \frac{1}{3} * B * h[/tex]
This gives:
[tex]36 = \frac{1}{3} * 4\sqrt 3 * h[/tex]
Make h the subject
[tex]h = \frac{3 * 36}{4\sqrt 3}[/tex]
[tex]h = \frac{3 * 9}{\sqrt 3}[/tex]
[tex]h = \frac{27}{\sqrt 3}[/tex]
To calculate the volume of pyramid B, we make use of:
[tex]V = \frac{1}{3} * B * h[/tex]
Since the heights of both pyramids are the same, we can make use of:
[tex]h = \frac{27}{\sqrt 3}[/tex]
The base area B, is then calculated as:
[tex]B = \frac{1}{2} * s^2 * sin(60)[/tex]
Where
[tex]s = 6[/tex]
So:
[tex]B = \frac{1}{2} * 6^2 * sin(60)[/tex]
[tex]B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}[/tex]
[tex]B = 9\sqrt 3[/tex]
So:
[tex]V = \frac{1}{3} * B * h[/tex]
Where
[tex]B = 9\sqrt 3[/tex] and [tex]h = \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}[/tex]
[tex]V = \frac{1}{3} * 9 * 27[/tex]
[tex]V = 81[/tex]
Answer:
81
Step-by-step explanation:
ose baked 36 cookies. He wants to share them equally among 16 people. How many cookies will each person get?
Draw a line segment to connect the two whole numbers that the answer lies between.
Pls help :( (will get reported if link)
Answer:
Step-by-step explanation:
I need help im doing IXL right now (BB.3 Complete a function table: quadratic functions)
i just need help with this final question (posted with a picture)
Answer:
0, 2, 4
Step-by-step explanation:-2 + 2 = 0 + 2= 2 + 2 = 4
The function table is solved and the quadratic equation is f ( x ) = -3x²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
f ( x ) = -3x²
when x = -2
f ( -2 ) = -3 ( -2 )²
f ( -2 ) = -12
And , when x = 0
f ( 0 ) = 0
when x = 2
f ( 2 ) = -12
when x = 4
f ( 4 ) = -48
Hence , the function table is f ( x ) = { -12 , 0 , -12 , -48 }
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What is the area of the polygon below?
Answer:
65 units²Step-by-step explanation:
The polygon is the combination of two rectangles.
Sides of the greater rectangle:
3 - (-8) = 11 and-2 - (-7) = 5Sides of the smaller rectangle:
0 - (-5) = 5 and-7 - (-9) = 2Area of the polygon:
11*5 + 5*2 = 65 units²slope of (-3,5) (3,6)
Answer:
The slope is [tex]\frac{1}{6}[/tex]
Step-by-step explanation:
Which describes a number that cannot be irrational?
a number that can be used to solve an algebraic equation
a number that represents the ratio of the circumference to the diameter of a circle
a number that represents the length of the diagonal of a square
a number that can be written as the ratio of two integers
1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez1+1=2 ez
Solve the equation above for x
Answer:
2/3x=1-2
X=-1*3/2
X=-3/2
So is - 3/2
please help, dont answer if you dont know
Answer:
Step-by-step explanation:
A. 1/3
HELP PLEASE! What is the slope of the line shown?
Answer:
A. -4/11
Step-by-step explanation:
Slope formula: [tex]\frac{y^2 - y^1}{x^2 - x^1 }[/tex]
Using the two points substitute the coordinates into this formula
6-2 = 4
4 - 7 = -11
Put 4 over -11 because it is the y value
[tex]-\frac{4}{11}[/tex]
DO IN 20 minutes help please!!!!A calculator was used to perform a linear regression on the values in the
table. The results are shown to the right of the table.
X
у
1
10
2
7
LinReg
y-ax+b
a-3.1
b-12.9
r2-.9886831276
-.9943254636
3
3
4
0
5
-2
What is the line of best fit?
A. y = 12.9x - 3,1
ООО
O B. y = -3.1x + 12.9
O C. -0.994 = -3.1X + 12.9
D. Y = -0.994x+12.9
Answer: The answer is b !
Image attached should help
The line of best fit is:
y = 3.1x + 12.9
Option A is the correct answer.
We have,
The line of best fit can be expressed in the form of y = ax + b,
where a is the slope of the line and b is the y-intercept.
From the given LinReg results, we have:
a = 3.1
b = 12.9
Substituting a and b in the equation y = ax + b we get,
The line of best fit is:
y = 3.1x + 12.9
Thus,
The line of best fit is:
y = 3.1x + 12.9
Learn more about the line of best fit here:
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In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?
Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.
PLZ HELP!!!!!!! AND NO LINKS
Answer:
A
Step-by-step explanation:
Acids turn litmus paper red. The characters of acids are given by substance A. An acid tastes sour and also conducts electricity well because of ionization properties. Additionally, Hydrogen gas is produced from acid-base neutralizations because most if not all acids contain hydrogen.
Choose the expression that represents a quadratic expression.
A.) 6x4 − 5x3 + 3x2 −7x − 8
B.) 5x3 + 3x2 −7x − 8
C.) 2x2 + 3x − 1
D.) 3x − 1
Answer:
C. 2x^2 + 3x - 1
is the answer
A spinner is divided into 12 equal sections numbered 1-12. What is the probability of landing on a section with a number that is less than 5?
Answer:
4/12
Step-by-step explanation:
There is a 1 in 12 chance of any number being spun on the wheel. Because there are 4 numbers less than 5, there is a 4 in 12 chance of one of those numbers being spun.
Pls help !!!!!!!!!!!!
Answer:
x = 100°
Step-by-step explanation:
15° + 65° + x = 180°
80° + x = 180°
x = 100°
can any one help me i do not get it
Answer:
x=30
Step-by-step explanation:
The figure on the right has 12 in. on one side and 10 on the other and the figure on the left is 3 times the number that the figure on the left has. When you multiply 3 and 12 you get 36. From there on you can infer that you multiply 10 by 3. Your solution to x is 30.
Answer: 30
Step-by-step explanation:
36/3=12, 30/3=10
Car Survey: In a survey of 2,400 people who owned a certain type of car, 1,680 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70 percent
Step-by-step explanation:
What's the perimeter?
Answer:
the line crossing the trapezoid, the one that helps you find the S. In this case the perimeter is 4 (;
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
perimenopause is inside just count the inside of the trapezoid
hope this helps
A sculpture at a park is in the shape of a rectangular pyramid. What is the volume of the sculpture if the length and width of the base of the pyramid are 11 feet and 5 feet respectively, while the height of the pyramid is 6 feet?
Answer:
40
Step-by-step explanation:
11x6=60
60-5x4= 20
=40
-x + 3y = -12 in slope intercept form. please show step by step. thanks :)
Answer:
y=x/3 - 4
Step-by-step explanation:
add x to get x to the other side
3y= x-12
divide by 3 on both sides to get y by itself y= x/3 - 4 is simplest form
Answer:
slope intercept form is y=mx+b
add x to both sides : 3y=x-12
divide by 3 on both sides : y=(1/3)x-4
nnnd i put both equations in desmos n they r the same :)
Kelsha is putting money into a savings account. She starts with $750 in the savings account, and each week she adds $30. Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Keisha has been adding money. Write an equation relating Sto W. Then use this equation to find the total amount of money in the savings account after 14 weeks.
Answer:
s=750+30W, after 14 weeks she has 1170$
Step-by-step explanation:
Answer:
750+30w=s 750+(30*14)=1,170
Step-by-step explanation:
i think this is it
Can you find the missing measure
Answer:
for which one
Step-by-step explanation:
Leila made $70 for 5 hours of work.
At the same rate, how much would she make for 8 hours of work?
Answer:
112$
Step-by-step explanation:
First, find out how much she makes per hour:
70$ in 5 hours. Divide 70 by 5.
70/5 = 14
If she makes 14$ per hour, the equation to find 8 hours is 14*8
14*8 = 112
What is the equation of the line?
Answer: x = -9
Step-by-step explanation:
When you look at the line, you can see it's plotted on the x-axis. From there you know the solution will be equal to x. Since the line passes right through the number -9 on the x-axis line, the answer would be x = -9. The line is straight which means it has no y intercept which is why x is only equal to -9.
Find the area of a circle with a diameter of 4. How do you find they area of a circle?
Answer:
The number pie
Step-by-step explanation:
Find the area of a circle with a diameter of 4. How do you find they area of a circle?
To find the area of a circle use the formula [tex]\large\tt A=\pi r^2[/tex] or [tex] \large\tt A=\pi \times r \times r[/tex]
Where π = 3.14 correct to 2 decimal places, r = radius, and d = diameter. The radius is half of the diameter.
[tex]\tt A=\pi r^2[/tex][tex]\tt A=3.14\times 2^2[/tex][tex]\tt A =3.14\times 4[/tex][tex]\tt A={12.56units^2}[/tex]Therefore, the area of a circle is 12.56 sq. units
#CarryOnLearningCan someone please help me ⚠️
LINKS WILL BE REPORTED ALONG WITH NONSENSE ANSWERS THANK YOU
Please help me with this, I understand how to do the first equation but not the second (the one where it says he sold more accessories than phone commissions) Brainliest will be given!
what's ur ig bestie? it's making me write it longer so hihihi
Please help due in 5 min
Answer:
nobody can see the question(s)
Need help ASAP no fake links!!! Find the measure of angle C, and find the measure of Arc BC
Answer:
[tex]\huge \purple {\boxed { m\angle C = 47\degree}} [/tex]
[tex] \huge \red {\boxed { \widehat{BC}=96\degree}} [/tex]
Step-by-step explanation:
By inscribed angle theorem:
[tex] m\angle C = \frac{1}{2} m(\widehat{AD}) [/tex]
[tex] \therefore m\angle C = \frac{1}{2}\times 94\degree [/tex]
[tex]\huge \purple {\boxed {\therefore m\angle C = 47\degree}} [/tex]
Again by inscribed angle theorem:
[tex] m\angle A = \frac{1}{2} m(\widehat{BC}) [/tex]
[tex] \therefore 48\degree = \frac{1}{2} m(\widehat{BC}) [/tex]
[tex] \therefore 48\degree\times 2 = m(\widehat{BC}) [/tex]
[tex] \huge \red {\boxed {\therefore m(\widehat{BC}) =96\degree}} [/tex]