Answer: 9.33 meters (9 1/3 meters)
Step-by-step explanation:
If the base edge is 12 m and the base is a square, square the edge length. (12*12=144). The volume of a prism is the area of the base times the height, so the height is the volume divided by the area of the base. Divide 1344 by the area of 144 (1344/144=9.33 or 9 1/3)
Answer:
9.33 meters
Step-by-step explanation:
The formula to find the volume of a square prism is [tex]V=a^2h[/tex]. To solve for [tex]h[/tex], the formula becomes [tex]h=\frac{V}{a^2}[/tex].
Plug in the base edge and the volume.
[tex]h=\frac{1344}{12^2}[/tex]
[tex]\frac{1344}{12^2}[/tex] [tex]=[/tex] 9.33.
The height of the prism, then, is 9.33 meters.
I hope this helps ^^ Good luck :]
A parabola can be drawn given a focus of (4, -8) and a directrix of y=-6
. What can be said about the parabola?
Answer:
y = 1/4 (x-4)² - 7
Step-by-step explanation:
Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
√(x-4)²+(y- -8)² = √(y- -6)²
(x-4)² + (y+8)² = (y+6)²
(y+8)² - (y+6)² = (x-4)²
(y²+16y+64) - (y²+12y+36) = (x-4)²
y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
4y = (x-4)² - 28
y = 1/4 (x-4)² - 7
standard formula of parabola: y = a(x-h)² + k (h,k): vertex (4,-7)
The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Now,
Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
Hence, We can formulate;
⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²
⇒ (x-4)² + (y+8)² = (y+6)²
⇒ (y+8)² - (y+6)² = (x-4)²
⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²
⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
⇒ 4y = (x-4)² - 28
⇒ y = 1/4 (x-4)² - 7
Thus, The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
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215% of what number is 43
Answer:
20
Step-by-step explanation:
215% of 20 is 43
Answer:
20
Step-by-step explanation:
2.15x = 43
43 divided by 2.15 is 20! :)
A new roller coaster has three seats in each row. The following shows how the number of seats, y, changes as the number of rows, x, changes.
Which equation shows this relationship?
A. 3y = x
B. y = x + 3
C. y = 3x
D. y + 3 = x
PLEASE HELP I'LL GIVE YOU 15 POINTS
Answer:
C. y=3xStep-by-step explanation:
I got it correct on my assignment.
26. Find the Rate when given the Interest.
Interest: $480
Principal: $1600
Time: 6 years *
(1 Point)
5%
0.05%
20%
2.0%
hello please help thanks
Answer:
D. Precipitation
Step-by-step explanation : Gravity causes precipitation to fall from clouds and water to flow downward on the land through watersheds. Energy from the sun and the force of gravity drive the continual cycling of water among these reservoirs. As the water is heated, it changes state from a liquid to a gas.
20.
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
A(n)=-6+(n-1)([tex]\frac{1}{5}[/tex])
A. –6, [tex]-5\frac{2}{5}[/tex], [tex]-4\frac{1}{5}[/tex]
B. 0, [tex]\frac{3}{5}[/tex], 1[tex]\frac{4}{5}[/tex]
C. –6, -5[tex]\frac{1}{5}[/tex], -4
D. 5, -5[tex]\frac{1}{5}[/tex], 1[tex]\frac{4}{5}[/tex]
Answer:
A. –6, ,
Step-by-step explanation:
answer is D. -6, -5 2/5, -4 1/5
A(1)=-6+(1-1)(1/5) = -6 + 0 = -6
A(4)=-6+(4-1)(1/5) = -6 + 3/5 = - 5 2/5
A(10)=-6+(10-1)(1/5) = -6 + 9/5 = -4 1/5
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Of the 100 snakes on display at the nature center, 30% were venomous. How many of the 100 snakes were venomous?
HURRY PLEASE
Answer:
There are 30 venomous snakes.
Step-by-step explanation:
Since its 30% you can assume that its a total of 100%. So, 100 snakes would be 100%. So the total of venomous snakes are 30 total snakes. Hope this helped!! :D
which situation can be represented by 17.35x > 624.60?
Answer:
IF this is a choice, it is correct:
Darren earns $17.35 per hour at his job. How many hours does he need to work in order to earn more than $624.60?
Step-by-step explanation:
A gray crayon is made with 5mL of black wax for every 6 mL of white wax
Answer:
the answer is option B and option C
Step-by-step explanation:
Y= -16x^2+181x+59 is the question
Answer:16x2 + 181x + 59
Step-by-step explanation:It cannot be factored
Answer:
Step-by-step explanation:
11.26 is the correct answer
20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)
Answer:
I'll do the dilation for the first point and you will see the answer (please verify the second point)
Step-by-step explanation:
The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.
so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.
so the dilated point for (-4,-4) is (-14, -14)
Please verify by computing the dilated point for (-6,4)
Three rare coins with diameters of 7/8 inch, 3/4 inch, and 5/8 inch are mounted in a rectangular frame, as shown in the diagram below. What is the perimeter of the frame if the coins fit exactly?
John worked 43 hours last week; his hourly rate is $9. He has the following deductions taken from his pay: Social Security tax of $25, Medicare tax of $6, health insurance premiums of $15, and savings account contribution of $50. What is John’s net pay?
6 of 8
What single percentage change is equivalent to a 9% decrease followed by a 17% decrease?
Answer: your answer is 26%
The eighth grade class at Washington Middle School is raffling off a turkey
as a money making project.
If the turkey cost $22 and raffle tickets are sold for $1.50 each,
how many tickets will have to be sold for the class to break
even?
Answer:
i dont know like 14?
Step-by-step explanation:
Find the angle measure that corresponds to 20% of a circle.
Answer: 72 degrees
Step-by-step explanation:
A circle is 360 degrees. So, 20% of 360 is 72 degrees
360 x 0.20 = 72
Which of the following is the graph of f(x) = 3x - 4[ + 1?
Answer:
The first answer choice I think
Step-by-step explanation:
to the right 4 units
up one
vertical compression by 3
The circumference of a circle is 69.08 millimeters. What is the circle's diameter? Use 3.14 for .
Answer: 22
Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11
the area is ___ square units
Answer:
392 square units
Step-by-step explanation:
We can make 2 right trapezoids out of this shape.
The area of a trapezoid would be 1/2×(b1+b2)×h or (b1+b2)×h ÷ 2.
If we do 1 half it would be 1/2×(14+14)×14 = 196
Now if we multiply by 2 (because we have 2 trapezoids) it would be 392.
HELP HELP HELP!! I’ll mark brainliest!! If a combination is randomly chosen, what is the probability of someone getting a salad and a chicken sandwich?
Answer:
1/12
Step-by-step explanation:
because because you have one choice out of 12 choices and that gives you 112
Pedro measured a swimming pool and made a scale drawing. The pool, which is 42 meters long in real life, is 119 centimeters long in the drawing. What scale did Pedro use for the drawing?
Answer:
The scale that Pedro used for the drawing is: 17:600.
Step-by-step explanation:
A scale of a drawing is expressed as: Drawing length:actual length.
Since you know that the pool is 119 centimeters long in the drawing and 42 meters long in real life, first you have to find the cm in 42 meter taking into account that 1 meter is equal to 100 cm:
1 m → 100 cm
42 m → x
x=(42*100)/1
x=4200 cm
Now, the scale would be:
119:4200
Finally, you need to simplify and you can do it by dividing each number by 7:
17:600
According to this, the answer is that the scale that Pedro used for the drawing is: 17:600.
Need help with this question
Answer: Well you would have to look at the options in the drop down and then find the terms and others
Step-by-step explanation:
Find the measure of the indicated arc
Answer:
m[tex]\widehat{WXY}[/tex] is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m[tex]\widehat{WXY}[/tex]
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m[tex]\widehat{WXY}[/tex] = 2 × 112° = 224°
m[tex]\widehat{WXY}[/tex] = 224°.
Match these 1. supplementary angles 2.vertical angles
3. complementary angles
Angles A and B are formed by a
pair of intersecting lines, have an equal
measure of 50° and share a common
vertex angle.
Angles A and B are formed by a
pair of intersecting lines, share a
common adjacent side, and have a sum
of 180°
Angles A and B are formed by a
pair of intersecting lines, share a
common adjacent side and have a sum
of 90°
Answer:
Vertical Angles:
Angles A and B are formed by a
pair of intersecting lines, have an equal
measure of 50° and share a common
vertex angle.
Supplementary Angles:
Angles A and B are formed by a
pair of intersecting lines, share a
common adjacent side, and have a sum
of 180°
Complementary Angles:
Angles A and B are formed by a
pair of intersecting lines, share a
common adjacent side and have a sum
of 90°
find the GCF of 30x^3 and 12x^4
Answer:6x^3
Step-by-step explanation: That’s the biggest factor that can be taken out of both equations
The compact disc format has been declining in popularity, and one music executive has predicted that CD sales will decrease by 20% per year. If the executive's company sold 29,000,000 CDs this year, how many will the company sell 9 years from now?
Answer: 3,892,314 CDs
Step-by-step explanation:
You can find this using the future value formula:
Future value = Amount * ( 1 + rate) ^ number of years
Amount = 29,000,000
Rate = -20% because it is decreasing
Number of years = 9
CDs sold in 9 years will therefore be:
= 29,000,000 * ( 1 - 20%) ⁹
= 3,892,314 CDs
HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!
Answer:
x≈5.3 feet
Step-by-step explanation:
[tex]\frac{4}{15} =\frac{x}{20}[/tex]
[tex]15x=80[/tex]
x≈5.3 feet
Answer:
5.3m tall
Step-by-step explanation:
15/4 = 3.75
20/3.75= 5.3333333
Is 9, 16, 23, 30, an arthmetic sequence
Answer:
Yes
Step-by-step explanation:
Help Please Waiting 2hours Please!
Don’t need to show work
Answer:
44
Step-by-step explanation: