Answer:
Step-by-step explanation:
A solid sculpture in the shape of a square pyramid is made of 10.5 in.3 of glass. if the area of the square base is 9 in2, what is the height of the pyramid? 1.5 in. 3 in. 3.5 in. 4 in.
The height of the square-based pyramid is 3.5 in.
What is the volume of a square pyramid?The volume of the square-based pyramid is the product of the base area multiplied by one-third of the height of the square-based pyramid.
Mathematically;
[tex]\mathbf{V = a \times \dfrac{1}{3}h}[/tex]
[tex]\mathbf{V = a \times \dfrac{h}{3}}[/tex]
Given that:
V = 10.5 in³a = 9 in²[tex]\mathbf{10.5 = 9 \times \dfrac{h}{3}}[/tex]
[tex]\mathbf{10.5 =3\times h}[/tex]
[tex]\mathbf{h = \dfrac{10.5}{3}}[/tex]
h = 3.5 in
Learn more about the volume of a square pyramid here:
https://brainly.com/question/9266950
#SPJ4
Answer:
3.5 or third option
Step-by-step explanation:
I got it right on edge
HURRY 100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
Answer:
3.
Step-by-step explanation:
Answer: the square root of 54 x IDC x i don't even want to help x haha no help for you x points for me not you
Step-by-step explanation:
The radius of a circle is 4 feet. what is the angle measure of an arc pi feet long?
Answer:
Step-by-step explanation:
Please help with the 4/5 problems:) I completely forgot how to do this! *please show work on how you got your answer!**
(-3+7i)(1-2i) can you help me with the answer to this
Answer:
11 + 13i
Step-by-step explanation:
A must know is that
[tex] \sqrt{i} = - 1[/tex]
Complex numbers
1st: foil the equations
[tex] - 3(1 - 2i) + 7i(1 - 2i)[/tex]
[tex] - 3 + 6i + 7i- 14 {i}^{2} [/tex]
2nd Combine like terms and substitute
[tex]i ^{2} for \: - 1[/tex]
[tex] - 3 + 14 + 13i[/tex]
[tex]11 + 13i[/tex]
12. A turtle goes 12 meters in 28 seconds. How far does the turtle travel in one second (unit rate)?
Answer:
0.43 meters per second
Step-by-step explanation:
12/28
\large \frac{1}{4} of a vegetable garden has broccoli and \large \frac{2}{3} of the garden has peppers. how much of the garden has vegetables growing in it?
11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.
How to find the how much of the garden growing vegetable?
We know that 1/4 of the garden has broccoli and 2/3 of the garden has peppers, Therefore, let's add up those two fractions to find out how much of the whole garden that has broccoli and peppers.
Therefore,
1/ 4 + 2 / 3 = ?
The denominator needs to be the same. Therefore,
1/4 × 3/ 3 = 3 / 12
2/3 × 4 /4 = 8 / 12
Hence,
3 / 12 + 8 / 12 = 11 / 12
11/12 of the garden is occupied by broccoli and peppers. Therefore, 11 /12 of the garden has vegetable growing in it.
learn more on fraction here: https://brainly.com/question/3133333
#SPJ4
Pls someone
In this diagram, what is the BEST description of the transformation shown?
Answer: B) Rotation
Explanation:
The preimage has been rotated 180 degrees to land on the image.
Proof of this is to note that a point like (2,2) maps to (-2,-2)
The 180 degree rotation rule is [tex](x,y) \to (-x,-y)[/tex]. We flip the signs of each coordinate.
You can accomplish the same thing with two reflections: one over the x axis and the other over the y axis. However, a rotation is more direct.
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(8, 2)
-10
(0, 0)
10
The equation of line is y = ( 1/4 )x , with slope m = 1/4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 0 )
Let the second point be Q ( 8 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 0 ) / ( 8 - 0 )
Slope m = 2/8 = 1/4
Now , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 0 = ( 1/4 ) ( x - 0 )
y = ( 1/4 )x
Hence , the equation of line is y = ( 1/4 )x
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ5
What's the answer!!!!! ASAP
The number of hits the player that most outperformed the predicted number of home runs based on the model is: 163 hits.
What is a Model?A model can be represented by an equation in slope-intercept form which can be used to make predictions between the association or relationship between two variables.
From the details about the predictions given in the table above, 7 players outperformed the predicted number of home runs.
However, the player that outperformed the predicted number of home runs the most is the player that had 31 home runs with a predicted home run of 23.
The number of hits the player had was 163.
Learn more about models on:
https://brainly.com/question/24414910
#SPJ1
please help I need this
Answer:
the best answer is B
commending, is the act of praise or approval
C
Answer:
Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room
Helppppppppppp meeeeeeeeee pleaseeeeeee
A group of 31 friends gets together to play a sport. First, people must be
divided into teams. Each team has to have exactly 3 players, and no one can
be on more than one team. How many teams can they make? (It is possible
that not everyone can be on a team.)
87
Answer: 10 teams is the answers
Make a box and whisker plot of the data. 20,23,28,14,13,24,18,11
Population size: 8
Median: 19
Minimum: 11
Maximum: 28
First quartile: 13.25
Third quartile: 23.75
Interquartile Range: 10.5
Outliers: none
- Attached image is the box and whisker plot
The point P = (-3, y) lies on the unit circle shown below. What is the value of y
in simplest form?
The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The equation of the circle has the center at the origin and the radius is one unit. Then we have
x² + y² = 1
The point P = (-2/3, y) lies on the unit circle. Then the value of y will be
(-2/3)² + y² = 1
y² = 1 - 4/9
y² = 5/9
y = ± √5 / 9
Learn more about the equation of a circle here:
https://brainly.com/question/10165274
#SPJ1
Which is the equation of a circle with a radius of 3 and a center at (0, 0) A . x ^ 2 + y ^ 2 = 3 B x ^ 2 + y ^ 2 = 6; x ^ 2 + y ^ 2 = 9 D. (x - 3) ^ 2 + (y - 3) ^ 2 = 0; (x + 3) ^ 2 + (y + 3) ^ 2 = 0
Answer:
x² + y² = 9
Explanation:
circle formula: (x -h)² + (y - k)² = r²
where (h, k) is the center, r is radius
Here given for center: (0, 0)
Identify
h = 0k = 0r = 3Equation of circle:
(x - 0)² + (y - 0)² = 3²x² + y² = 92.5 lbs of apples for $3.25 or 35oz for $3.50?
Answer:
2.5 lbs of apples for $3.25
Step-by-step explanation:
16 oz in one pound, 2.5 pounds is 40 oz. 40 oz is bigger than 35 and it costs less.
Can you guys help me solve this equation with step-by-step help, please...
-2x -5y = 16
2x -3y = -16
-5x + 2y = 11
-3x + 4y = -13
Step-by-step explanation:
-2x - 5y = 16___(1)
2x - 3y = -16___(2)
(1) + (2) ==> -2x -5y = 16
(+) 2x -3y = -16
-8y = 0
y = 0/-8
y = 0
y=0 in (1)
(1)---> -2x-5y =16
-2x - 5(0) = 16
-2x - 0 = 16
-2x = 16
x = 16/-2
x = -8
x = -8 , y = 0
-5x + 2y = 11__(1) ; -3x + 4y = -13___(2)
multiply eqn(1) with 2
2 × (1) : -10x + 4y = 22___(3)
(3) - (2) :. -10x + 4y = 22
(-) -3x + 4y = -13
-7x = 35
x = 35/-7
x = -5
x=-5 in (1)
(1) : -5x + 2y = 11
-5(-5) + 2y = 11
25 + 2y = 11
2y = 11 - 25
2y = -14
y = -14/2
y = -7
x = -5 , y = -7
HELPPPPP I NEED HELP WITH MATH HOMEWORK
Answer:
The answer is B
Please read the explanation... it always helps!!!
Step-by-step explanation:
All of the choices ask for difference.... it really helps when you draw a number line to solve these types of questions....
but for B you will need to imagine a compass..
alrighty for option B lets examine why it is correct....
Imagine you were standing on a dot (lol)
you walked 1.5 steps to the left <--
then you walked 1.5 steps to the right -->
you can see that you walked in opposite directions and in the end you will be back where you started (aka on the dot, still lol)
meaning the displacement is zero
that is why option B is correct
i really hope this isn't confusing and it helps!!!
I need help with this math question thank you
Answer:
A
Step-by-step explanation:
Rotate RST 90° counterclockwise around the origin.
The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
The coordinates of RST are given as:
R = (5,15)
S = (15,15)
T = (10,5)
The rule of 90° counterclockwise around the origin is:
(x,y) -> (-y,x)
So, we have:
R' = (-15,5)
S' = (-15,15)
T' = (-5,10)
Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)
Read more about rotation at:
https://brainly.com/question/4289712
#SPJ1
y=8x+7 and -8x+y=7 solve algebretically
Answer:
infinitely many solution
Step-by-step explanation:
-8x + 8x + 7 = 7
7 = 7
Find all the zeros of f(x).
f(x) = 3x4 + 11x3 + 11x2 + x - 2
Arrange your answers from smallest to largest.
If there is a double root, list it twice.
Answer:
-2, -1, -1, 1/3
Step-by-step explanation:
A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...
-2, -1, -1, 1/3
__
The rational root theorem tells you that rational roots will be from the set ...
{±1/3, ±2/3, ±1, ±2}
Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.
The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).
Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.
The following set of ordered pairs represents y as a function of x.
{ (9,8), (-2, -14), (6, 2), (-3, -16), (______)}
Which of the following could be the missing ordered pair?
A (9,-8)
B (-3, 9)
C (-9, 8)
D (6,-2)
============================================================
Explanation:
The point (9,8) is in the original set of ordered pairs.
We cannot include (9,-8) since x = 9 is already listed. We can't have repeated x values. If x repeats, then we don't have a function.
This rules out choice A.
Choices B and D are eliminated for similar reasoning.
Choice C can be included because x = -9 hasn't been mentioned yet.
Note: A function is when any given x value leads to exactly one y value.
A runner ran a 400 m race in 1 min 35 sec. Calculate his average speed in m/sec.
Step-by-step explanation:
distance = 400m
time taken = 1 min 35 sec = 95 sec
average speed = 400m / 95 sec = 4=2105 m/ sec
Answer:
4.21 m / sec.
Step-by-step explanation:
1 min 35 sec.
= 60 + 35
= 95 sec.
So average speed = 400/95
= 4.21 m / sec.
The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicular to the x-axis, are squares. find the volume of the solid.
a. 1
b. 2
c. 2.333
d. none of these
(will vote brainlest, like and rate)
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,
[tex]\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)[/tex]
Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.
Answer:
Add 7 cubes to the big square and 1 cube to the three square strip on the bottom of the big square in Step 3
Sorry if the answer is unclear, I tried my hardest to explain it properly. Please tell me if it's right, and if it is, I would appreciate a Brainliest.
(I added an image of what the answer might be)
The pattern
For top
x²For beneath
xLook
for 1 there is 1
for 2 there is 2²=4
for 3 there is 3²=9
So for 4
There will be 4²=16880$ at 5.25% for 2 years
Answer:
$977.20
Step-by-step explanation:
We will use the compound interest formula to solve this: A = P(1 + R) ^ T
Using this formula we plug-in the values that we already have:
A = 880(1 + .0525) ^ 2
Now if we solve this, we end up with 977.20. That is your answer.
NEED HELP PLEASE ANSWER ASAP! (42)
Answer:
(1) (4x - 5y)(4x + 5y)
Step-by-step explanation:
Question 42
16x² - 25y²The identity to be used is : a² - b² = (a - b)(a + b)(1) (4x - 5y)(4x + 5y)Answer:
(1) (4x - 5y)(4x + 5y)
Step-by-step explanation:
Difference of Two Squares: [tex]a^2-b^2=(a-b)(a+b)[/tex]
Therefore, we can use The Difference of Two Squares to factor this expression quickly.
Given expression: [tex]16x^2-25y^2[/tex]
[tex]16=4^2 \implies 16x^2=4x \cdot 4x=(4x)^2[/tex]
[tex]25=5^2 \implies 25y^2=5y \cdot 5y=(5y)^2[/tex]
Therefore:
[tex]16x^2-25y^2=(4x)^2-(5y)^2[/tex]
Using The Difference of Two Squares:
[tex](4x)^2-(5y)^2=(4x-5y)(4x+5y)[/tex]
What is the width of the ornament at the volume of 2664.31 cm (use 3.14 for)
Answer:
33.6
Step-by-step explanation:
this is a circle
so
the area of a circle = pi x radius squared(since it's a 2-D shape)
but this is 3-D
so
V = 2664.31 = (4/3)([tex]\pi[/tex][tex]r^{3}[/tex])
you could also use
A = ³√(36 * π * V²) when A is the surface area
but those are too long, so let us just use the answer choices
V = 3.14 x answer choice x radius sqaured
V = 3.14 x 8.6 x radius sqaured
2664.31 = 3.14 x 8.6 x radius sqaured
radius sqaured = 2664.31/3.14 x 8.6
radius sqaured = 2664.31/27.004
radius sqaured can't be made with this
lets skip V
radius sqaured = 2664.31/3.14 x 17.2
radius sqaured = 2664.31/54.008
since 27.004 didn't work, and 54.008 is 2 times as that
radius sqaured = 2664.31/3,14 x 33.6
radius sqaured = 2664.31/105.504 ≈ 25
25 square rooted is 5
so
33.6