Answer:
Step-by-step explanation:
Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2
The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.
How to find the dimensions of a pyramid?To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:
Volume of a pyramid = (1/3) x Base area x Height
Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.
Now, we can substitute the given volume of 36 cubic units into the formula:
36 = (1/3) x a^2 x h
Multiplying both sides by 3 and dividing by a^2, we get:
h = 108/a^2
So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.
We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.
For example, if we choose "a" to be 3 units, we get:
h = 108/3^2 = 12 units
Therefore, the dimensions of the pyramid are:
Base: 3 units x 3 units
Height: 12 units
Checking the volume using the formula, we get:
Volume of the pyramid = (1/3) x 3^2 x 12
Volume of the pyramid = 36 cubic units
So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.
Learn more about dimensions of pyramid here:
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Brainliest available
Find "X"
I think you meant solve [tex](4^2)x(2^9)[/tex]
Answer:
8192
Step-by-step explanation:
Given:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
Solution:
[tex]\left(4^2\right)x\left(2^9\right)[/tex]
[tex]=4^2x \:2^9[/tex]
[tex]4^2=16[/tex]
[tex]=16x \:2^9[/tex]
[tex]2^9=512[/tex]
[tex]=16x\:512[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:16\cdot \:512=8192[/tex]
[tex]=8192[/tex]
~lenvy~
Answer:
=> 8192
Step-by-step explanation:
Given :
(4²)x(2⁹)
=> (16)x(512)
=> 16.512
=> 8192
Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 4)(0,4) and (2, 256)(2,256).
Answer:
Step-by-step explanation:
[tex]y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x[/tex]
Write an equation in slope-intercept form of the line that passes through the
points (-5, -3) and (1, 9).
Answer:
[tex]\boxed{\sf{y=2x+7}}[/tex]
Step-by-step explanation:
Use a slope formula and slope-intercept formula.
Slope-intercept formula:
[tex]\sf{y=mx+b}[/tex]
The m represents the slope.
The b represents the y-intercept.
Slope formula:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\sf{y_2=9}\\\\\sf{y_1=(-3)}\\\\\sf{x_2=1}\\\\\sf{x_1=(-5)}[/tex]
Rewrite the problem down.
[tex]\sf{\dfrac{9-(-3)}{1-(-5)}=\dfrac{9+3=12}{1+5=6}=\dfrac{12}{6}=2 }[/tex]
The slope is 2.The y-intercept is 7.y=2x+7
Therefore, the correct answer is y=2x+7.I hope this helps you! Let me know if my answer is wrong or not.
Find the value of x
Tell wether the side lengths form a Pythagorean triple
Answer:
8.49 and No
Step-by-step explanation:
C² - b² = a² (pythagorus rule rearranged for a²)
9² - 3² = a²
81 - 9 = a²
a² = 72
a = 8.49 and no they aren't a triple.
What is the slope-intercept equation for this line?
Answer:
y=-2x-1
Step-by-step explanation: This is because of rise/run. This means rise, count up or down until you hit the line that is horizontal to where your line intersects a whole point. Then run, what you count horizontal matches with your rise count. This means we can count 2/1 and since it's going down it's negative. So the slope is -2 and the y-intercept is -1 because it intersects through the y-intercept -1.
A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
The answer is: Yes, all conditions for inference are met.
Can someone help me with math I need help I will attempt to give y’all help too!
Answer:
48%
Step-by-step explanation:
there are 250 cars in total 50+70 is 120 (the red or blue cars)
so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%
QUICK please help meeee.
Answer: A. Obstacle
Step-by-step explanation: They have the same meaning.
If VZ=p–7 and WY=p–21, what is the value of p?
Answer:
p = 35
Step-by-step explanation:
the midsegment WY is half the measure of VZ , that is
WY = [tex]\frac{1}{2}[/tex] VZ ( substitute values )
p - 21 = [tex]\frac{1}{2}[/tex] (p - 7) ← multiply through by 2 to clear the fraction
2p - 42 = p - 7 ( subtract p from both sides )
p - 42 = - 7 ( add 42 to both sides )
p = 35
What are the solutions for the following system of equations?
y = 8x + 7
y = -x2 - 5x+7
(0,7) and (13, 97)
0 (0,7) and (-13, -97)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
[tex](0,7),(-13,-97)[/tex]
Equation Form:
[tex]x=0,y=7\\x=-13,y=-97[/tex]
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(8*x+7)=0
Equation of a Straight Line
Solve y-8x-7 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.'
n this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-8x-7 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000
y-intercept = 7/1 = 7.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-8 Our line therefore "cuts" the x axis at x=-0.87500
x-intercept = 7/-8 = -0.87500
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 23.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 23.000 - 7.000 = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 16.000/2.000 = 8.000
Geometric figure: Straight Line
Slope = 16.000/2.000 = 8.000
x-intercept = 7/-8 = -0.87500
y-intercept = 7/1 = 7.00000
Pull out like factors :
-x2 - 5x - 7 = -1 • (x2 + 5x + 7)
Trying to factor by splitting the middle term
2.2 Factoring x2 + 5x + 7
The first term is, x2 its coefficient is 1 .
The middle term is, +5x its coefficient is 5 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 1 • 7 = 7
Step-2 : Find two factors of 7 whose sum equals the coefficient of the middle term, which is 5 .
-7 + -1 = -8
-1 + -7 = -8
1 + 7 = 8
7 + 1 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Find the Vertex of y = -x2-5x-7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens down and accordingly has a highest point (AKA absolute maximum) . We know this even before plotting "y" because the coefficient of the first term, -1 , is negative (smaller than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -2.5000
Plugging into the parabola formula -2.5000 for x we can calculate the y -coordinate :
y = -1.0 * -2.50 * -2.50 - 5.0 * -2.50 - 7.0
or y = -0.750
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = -x2-5x-7
Axis of Symmetry (dashed) {x}={-2.50}
Vertex at {x,y} = {-2.50,-0.75}
Function has no real roots
Solve Quadratic Equation by Completing The Square
3.2 Solving -x2-5x-7 = 0 by Completing The Square .
Multiply both sides of the equation by (-1) to obtain positive coefficient for the first term:
x2+5x+7 = 0 Subtract 7 from both side of the equation :
x2+5x = -7
Now the clever bit: Take the coefficient of x , which is 5 , divide by two, giving 5/2 , and finally square it giving 25/4
Add 25/4 to both sides of the equation :
On the right hand side we have :
-7 + 25/4 or, (-7/1)+(25/4)
The common denominator of the two fractions is 4 Adding (-28/4)+(25/4) gives -3/4
So adding to both sides we finally get :
x2+5x+(25/4) = -3/4
Adding 25/4 has completed the left hand side into a perfect square :
x2+5x+(25/4) =
(x+(5/2)) • (x+(5/2)) =
(x+(5/2))2
Things which are equal to the same thing are also equal to one another. Since
x2+5x+(25/4) = -3/4 and
x2+5x+(25/4) = (x+(5/2))2
then, according to the law of transitivity,
(x+(5/2))2 = -3/4
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x+(5/2))2 is
(x+(5/2))2/2 =
(x+(5/2))1 =
x+(5/2)
How many different triangles can you make if you are given the measurments or two sides an angle that is not between those two sides
Answer:
2.
Step-by-step explanation:
This is called the ambibuous case where 2 sides are given and angle opposite one of these sides.
2 traingles are possible.
pls help and explain im actually confused thxx
Answer:
(2x,2y)
Step-by-step explanation:
Hope this helps!!!
a 21ft ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 19ft from the base of the building. how high up the wall does the ladder reach
Answer:
According to the graph:
H^2 + 10^2 = 21^2
Solve as:
H = 18.19 feet
So the height is 18.19 feet
Find the Area. First person that answers this and gets it correct gets brainliest.
Answer:
Step-by-step explanation:
Break up the shape into a trapezoid and rectangle:
Trapezoid area = (Top + Bottom) * Height / 2
= (9 + 20) * (21-16) / 2
= 29 * 5 / 2
= 72.5
Rectangle area = Length * Width
= 20 * 16
= 320
Combining, the total area = 72.5 + 320
= 392.5 in^2
Answer:
A = 392.5 in²
Step-by-step explanation:
The composite figure is made up of a rectangle and a trapezoid.
Calculate the area of the rectangle:
[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]
Calculate the area of the trapezoid:
[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]
Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:
[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]
Therefore, the area of the composite figure is 392.5 in².
3x2 + 6x = 12 (using quadratic formula)
.) What is the sum? -3/4+(-3/4)
Answer:
The answer is -1.5
Step-by-step explanation:
Hope that helps.
Answer:
Step-by-step explanation:
-3/4 + (-3/4) remove parentheses
-3/4- 3/4 calculate the difference
-3/2 or - 1 1/2 or -1.5
HELP ME WITH THESE GEOMTRY QUESTIONS PLEASE I WOULD REALLY APPRECIATE IT AND CAN YOU TRY TO SHOW THE WORK THANK YOU SO MUCH
Answer:
1062
Step-by-step explanation: Find the area of each side then add it all up
please help :(
I'll give brainliest!
Answer:
58km
Step-by-step explanation:
perimeter of rectangle= 2x(l+b)
2x(28+1)
2x29=58
a locker requires a three-digit code to open the lock. the code must contain one letter and two numbers, and no letter or number can be repeated. you can choose from among four letters, a,b,c and d and two numbers, 5 and 6
Answer:
4 ways
Step-by-step explanation:
Given
Code consists of 3 digits1 letter and 2 numbersNo number/letter should be repeatedPossible combinations
a56b56c56d56⇒ 4 waysPLEASE HELP ME!!!!!!!
Answer:
10 hours
Step-by-step explanation:
multiply b 2 then divided the miles and time and add to the total to get the time and miles you need
The area of the triangle below is 4.06 square meters. What is the length of the base?
S=0,5ha
4.06=0,5ha
ha=8.12
a=8.12/h
16% of 250 is equal to 250% of 16. True or false
Answer:
TrueStep-by-step explanation:
16% of 250
250*16/100 = 40250% of 16
16*260/100 = 40Both outcomes are same so the answer is True
Let's check
16% of 250
0.16(250)40250% of 16
2.5(16)40Yes true
What is 5 x 3/20 as a fraction in its simplest form
Answer:
3/4
Step-by-step explanation:
You can form the product, then cancel common factors, or you can cancel common factors before you form the product.
__
[tex]5\times\dfrac{3}{20}=\dfrac{15}{20}=\dfrac{3\cdot5}{4\cdot5}=\boxed{\dfrac{3}{4}}\\\\\textsf{or ...}\\\\5\times\dfrac{3}{20}=\dfrac{5}{20}\cdot\dfrac{3}{1}=\dfrac{1}{4}\cdot\dfrac{3}{1}=\boxed{\dfrac{3}{4}}[/tex]
Find the final price of a $149 iPod with a 10% discount
and 5% sales tax.
Answer:
140.80
Step-by-step explanation:
Not completely sure if my answer is correct
please help, what would the answer be?
A group of friends wants to go to the amusement park. they have $285.75 to spend on parking and admission. parking is $13.75, and tickets cost $34 per person, including tax. how many people can go to the amusement park?
Answer:
assuming they only have to pay for parking once, 8 friends can go, if each person has to pay for parking and ticket only 5 people can go, Im assuming it'll be 8 for the answer tho I hope I'm right
There are 8 people can go to the amusement park.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Total amount = $285.75
Parking = $13.75
Price of ticket per person = $34.
So, money left after paying for parking
=285.75 - 13.75
= 272
Now, number of people in amusement park
= 272/34
=8
Hence, 8 people can go to the amusement park.
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how many milillerters of cholcolat milk are in the container shown
One side of this regular hexagon has been extended to form an exterior angle.
Use given information to find m Angle p.
Check the picture below.
A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P'Q' A'B' and M'N' 2 cm 1.5 cm M 3 cm N B What are the lengths of the images? Drag the answer into the box to match each segment. Ρ'Ο AB 1 M'N' ໃ & 0.75 cm 1 cm 1.5 cm 3 cm 4 cm 6 cm
need to do this QUICK!
The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm
What is dilation?
Dilation is the increase or decrease in the size of an figure or object.
A dilation with a scale factor of 2 is applied to the three line segments shown to form P'Q', A'B', and M'N'.
Hence:
P'Q' = scale factor * PQ = 2 * 2 = 4 cm
A'B' = 2 * 1.5 = 3 cm
M'N' = 2 * MN = 2 * 3 = 6 cm
The value of the dilated line segments P'Q', A'B' and M'N' are 4 cm. 3 cm and 6 cm
Find out more on dilation at: https://brainly.com/question/10253650
Please I need help with these, use the picture to answer the questions below
Each dashed line segment is a(n)?
There are _____ congruent triangles in a regular hexagon.
Find the perimeter.
Find the radius of this hexagon.
Answer:
There are 6 congruent triangles in a regular hexagon.
The triangles are equilateral (all sides are equal in length).
Using side length of equilateral triangle formula:
[tex]\sf x=\sqrt{\dfrac{4}{3}h^2}[/tex]
where x is the side length and h is the height
[tex]\sf \implies x=\sqrt{\dfrac{4}{3}\cdot 6^2}[/tex]
[tex]\sf \implies x=\sqrt{48}[/tex]
[tex]\sf \implies x=4\sqrt{3} \ units[/tex]
Therefore, perimeter = 6 × 4√3 = 24√3 units
Radius = side length of triangle = 4√3 units
Side Be a
[tex]\\ \rm\rightarrowtail h=\dfrac{\sqrt{3}}{2}a[/tex]
[tex]\\ \rm\rightarrowtail 6=\dfrac{\sqrt{3}}{2}a[/tex]
[tex]\\ \rm\rightarrowtail 12=\sqrt{3}a[/tex]
[tex]\\ \rm\rightarrowtail a=12/\sqrt{3}[/tex]
[tex]\\ \rm\rightarrowtail a=4\sqrt{3}[/tex]
Perimeter:-
4(4√3)=16√3units