Colton has a stone paperweight composed of a triangular pyramid on top of a triangular
prism with the dimensions shown below. Use the drop-down menus to explain how to
determine the volume of the paperweight.
Answer:
1/2 * 5 * 5
4
1/3, 7
79 in³
Step-by-step explanation:
The area of the base : base is shaped like a triangle ;
Area of triangle = 1/2 base * height :
Base and height = 5
Area of base = 1/2 * 5 * 5 = 12.5 in²
Volume of triangular prism = Area of base * height
Volume of triangular prism = 12.5 * 4 = 50 in³
For the triangular pyramid :
Area of base * height of pyramid *1/3
12.5 * 7 * (1/3) = 29.17
The volume of the paperweight :
Volume of triangular pyramid + volume of triangular prism
29.17 + 50
79.17 = 79 in³
if 2/3x - 1 = 4 then x = ?
Answer: 2/15
Step-by-step explanation:
2/3x-1(3x/3x)=4
2/3x-3x/3x=4
2-3x=12x
2=15x
x=2/15
3/8
×
2/9
please help so hard!!!!!!!
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}[/tex]×[tex]\frac{2}{9}[/tex]
You can cut off 3 and 9 because they have 3s there
You can also cut off 2 and 8 since they have 2s there.
[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{3}[/tex]
[tex]=\frac{1}{12}[/tex]
BRAINIEST TO WHOEVER RIGHT
Could you get a closer picture?
Nadia compares the weights, in grams, of some apples and oranges she find the median abs interquartile range of the weights.
Answer:
Apple
Orange
Step-by-step explanation:
Apple has the greater median with a median value of 150 which is more than that of orange at 130
The sample with the greater variability is the orange sample as the interquartile range value of 11 is greater Than 8 for Apple.
Yes it is possible, because of the greater variation on weight shown by the sample of oranges, then it could be possible.
Someone plsss HELP ME
Answer:
[tex]2,8,6,18[/tex]
Step-by-step explanation:
Coordinates are written in [tex](x,y)[/tex] form. In a function, this translates to (input, output). Therefore, in these four coordinates, the four outputs are 2, 8, 6, and 18.
a. 292.6
b. 235.7
c. 471.4
d. 625.8
pls help
Answer:
d. 625.8
Step-by-step explanation:
LxWxH
L=6 you
W=7 you
H=14.9 yd
(6×7)×14.9
42x14.9
625.8
Find positive and negative coterminal
angles for pi over 6
Answer:
11n611 and -n6-n6
Step-by-step explanation:
You want to wrap a gift shaped like the regular triangular prism shown. How many square inches of wrapping paper do you need to completely cover the prism? 6, 3.5, 4
pleaseee help
Answer:
3.5
Step-by-step explanation:
Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch piece of wood. About how many inches did Amy cut from the 42-inch piece of wood?
Answer:
She has 42 pieces of wood each of 1 inch of length.
Step-by-step explanation:
Amy has 42 inches piece of wood.
She has to cut an inch.
After cutting pieces of inch each she counts the pieces to be 42.
Mathematically
Total length / unit lenght = Number of pieces
42 inches/ 1 inch= 42 pieces.
She has 42 pieces of wood each of 1 inch of length.
Jose is baking cakes. He needs 3/4 of butter for each cake. One stick of butter is a 1/2 of a cup. How many sticks do he need to bake 8 cakes?
Answer: 6 sticks
Step-by-step explanation:
Given
Joe needs [tex]\frac{3}{4}[/tex] butter for each cake
One stick of butter is equivalent to 0.5 cup
So, joe need
[tex]\dfrac{3}{4}\times \dfrac{1}{2}=\dfrac{3}{8}\ \text{cup}[/tex]
for each cake
To bake 8 cakes, it is
[tex]\Rightarrow \dfrac{3}{4}\times 8=6\ \text{sticks}[/tex]
The figure is a parallelogram Solve for x.
Answer:
The value of x is 11.
Explanation:
The opposite sides of a parallelogram being equal, GD will be equal to 17. Equating, the value '11' is obtained.
75
Which degree measurement is equivalent to radians?
6
A. 1050
B. 210°
C. 240°
D. 420°
Answer:
B. 210°
hope it helps
have a nice day
A pet store has 11 puppies, including 3 poodles, 4 terriers, and 4
retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
Beatrice has 0.28 in her pocket. What percent of dollars does beatrice have
Answer:
28 is equal to 28/100. Therefore, it is 28 percent.
A stem-and-leaf plot is most useful for which reasons below? Select all that apply.
When the measures of central tendency need to be identified.
When the data needs to be displayed in intervals.
When you want to see individual data.
When the range is wide.
Answer:
A,C,D
Step-by-step explanation:
Answer:
ITS ALL OF THEM
JUST DID IT
A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a height of 3
inches. The cone has a radius of 3 inches. What is the height of the cone?
Show your work.
Plz help
Answer: 4 in
Step-by-step explanation:
The volume of the cylinder is
[tex]V=(\pi)(2^{2})(3)=12\pi[/tex]
If we let the height of the cone h, the volume of the cone is
[tex]V=\frac{1}{3}(\pi)(3^{2})(h)=3\pi h[/tex]
Setting these volumes equal,
[tex]12\pi=3\pi h\\\\12=3h\\\\h=\boxed{4 \text{ in}}[/tex]
x^2- 4x- 12 = 0
Solve by factoring and solve by completing the square
Use the formula (b/2)^2 in order to create a new term. Solve for by using this term to complete the square.
Cannot solve by completing the square.
median for 61, 61, 62, 64, 66, 69, 70, 72, 73, 74, 78, 78
Answer:
69.5
Step-by-step explanation:
Okay first, line them up from least to greatest. Luckily, you have already dont that. now start removimg numbers on each side to get the median.
61, 61, 62, 64, 66, 69, 70, 72, 73, 74, 78, 78
61, 62, 64, 66, 69, 70, 72, 73, 74, 78,
62, 64, 66, 69, 70, 72, 73, 74,
, 66, 69, 70, 72,
now you
What is the solution of the system of equations?
y= 3x – 1-4x + 2y = 2
Answer:
X=2, y=5
Step-by-step explanation:
Y=3x-1 equation 1
-4x+2y=2 equation 2
-4x +2(3x-1)=2 substitute value of y (3x-1) in equation 1 into y value of equ e
-4x+6x-2=2 distributative property
2x=4 solve above equation
x=2
solve for y:
y=3x-1
y=3(2)-1
y=6-1
y=5
Who can help me with this
Answer:
Vertical
Step-by-step explanation:
Hope it helps you in your learning process
A smartphone costs $260. Sales tax is 6%. What is the total cost, including tax?
The cost of the smartphone, with tax, is $
Answer:
Step-by-step explanation:
TAX CALCULATION: 260 x .06 = $15.6
Next, add the tax to the original price.
260 + 15.6 = $275.6
$275.6 is the final price including tax.
When benny's sister is 24, Benny's age will be 125% of her age. How old will Benny be then, and is Benny is 12 years old now, how old is penny now?
Answer:
A. 30
B. 6
Step-by-step explanation:
We'll use P for Penny's age and B for Benny's age. When Penny is 24, Benny will be 1.25 her age. Thus:
B = 1.25 * 24
(benny is 25% older than her)
So Benny's age then will be 1.25 * 24 = 30.
When Benny is 30, Penny will be 24. This means that he is older than her by 6 years. Think about it for a second: Benny will always be 6 years older than her. You can write that as:
B = P + 6
If Benny is 12 years old now,
12 = P + 6
Subtract 6 from both sides and you get
6 = P
or P = 6
Penny is 6 years old when Benny is 12.
What fraction is equivalent to -2 4/9?
Answer:
-22/9
Explanation:
Just turn -2 4/9 into an improper fraction. 2 x 9 = 18 and 18 + 4 = 22.
22/9, and just add the negative sign to make it -22/9.
3. Solve triangle ABC if a = 4, b = 6, and c = 5.
Show work
Answer:
4 x 6 x 5= 120 divided by 2 equals 60 because 4 x 6 = 24 x 5 = 120 and u divide by 2 when its a triangle. :) hope this helps
Step-by-step explanation:
https://socratic.org/questions/in-triangle-abc-a-4-b-6-c-8-how-do-you-find-the-cosine-of-each-of-the-angles
Let the vector \mathbf{v}v have an initial point at (-5, -5)(−5,−5) and a terminal point at (-3, 1)(−3,1). Determine the components of vector \mathbf{v}.V.
Answer:
The components of the vector are [tex]x = 2[/tex] and [tex]y = 6[/tex], respectively.
Step-by-step explanation:
The components of the vector is equal to the vector position of the terminal point relative to the initial point ([tex]\vec v[/tex]), that is:
[tex]\vec v = B(x,y) - A(x,y)[/tex] (1)
Where:
[tex]A(x,y)[/tex] - Initial point.
[tex]B(x,y)[/tex] - Terminal point.
If we know that [tex]A(x,y) = (-5,-5)[/tex] and [tex]B(x,y) = (-3,1)[/tex], then the vector is:
[tex]\vec v = (-3,1) -(-5-5)[/tex]
[tex]\vec v = (2, 6)[/tex]
The components of the vector are [tex]x = 2[/tex] and [tex]y = 6[/tex], respectively.
when does a linear equation have infinitely many solutions?
Answer:
An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A linear equation does not actually have solutions; rather, we find the locus of points ( x, y = f(x) ) and draw a straight line through them.
It is a SYSTEM of linear equations that may or may not have solution(s).
If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions. The graphs of the two equations coincide/overlap.
Please solve for x tap on the picture
What is the axis of symmetry of h(x) = –2x2 + 12x – 3?
a. x = –15
b. x = –3
c. x = 3
d. x = 15
We will see that the axis of symmetry is x = 3, so the correct option is c.
How to find the axis of symmetry of a quadratic function?
The axis of symmetry is a line of the form x = a, such that it divides the parabola in two halves.
Particularly, the axis of symmetry passes through the vertex, so the x-value of the vertex is equal to the value of the axis.
Then we only need to find the x-value of the vertex, remember that for a quadratic:
[tex]y = a*x^2 + b*x + c[/tex]
The vertex is at:
[tex]x = -b/2a[/tex]
Then in our case, the vertex is at:
[tex]x = -12/(2*-2) = -12/-4 = 3[/tex]
So the axis of symmetry is x = 3, then the correct option is C.
If you want to learn more about quadratic equations:
https://brainly.com/question/1214333
#SPJ2
Kendall is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is
12 meters and the diagonal from one corner to the opposite corner is 15 meters.
How much garland will Kendall need for the length of the ceiling?
Step-by-step explanation: