Answer:
h = 9 yds, assuming his treehouse is a rectangular shape. 9 yds seems pretty high.
Step-by-step explanation:
area = bh
108 yd³ = 12 yd² x h
h = 108/12 = 9 yds
The prism is 9 yards tall
What is the Volume of Rectangular Prism?
The area occupied inside a rectangular prism is referred to as the volume of the prism. A polyhedron with two pairs of congruent and parallel bases is referred to as a rectangular prism. It has 12 sides, 6 faces (all of which are rectangles), and 8 vertices. Given that the rectangular prism is a three-dimensional (3D) shape, the units cm3, m3, and so forth are employed to express the volume of the rectangle prism. Any polyhedron that possesses all of these qualities is referred to as a cuboid in mathematics.
Given: base of the treehouse= 12 yards²
volume of the treehouse = 108 yards³
To find : how tall is the prism ( height of the treehouse) = ?
Formula Used : The volume of a rectangular prism is calculated using the formula volume of a rectangular prism (V) = l w h,
where "l" stands for base length
"w" for base width.
"h" refers to the prism's height.
Steps for calculating the height
Step 1: The foundation area of 12 square yards has previously been specified.
Step 2: The prism's volume is 108 cubic yards
Step 3: The given rectangular prism's volume = base area x height
=> 108 cubic yards = 12 x h
=> 108/ 12 = h
=> h = 9 yards
Since , the prism is 9 yards tall
To learn more about: volume of rectangular prism
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What is the point-slope form
find the slope and y-intercept of (x+2)(x+3)=(x-2)(x-3)+y
Answer:
Slope: 10
y-intercept: (0,0)
Answer:
Y-intercept is 0 and slope is 10x
Y = 10x - 0
Step-by-step explanation:
Find the shaded angle
Answer:
61.5°
Step-by-step explanation:
The triangle is isosceles , the radii are congruent , then the 2 base angles are congruent.
The vertex = 360° - 303° = 57
shaded angle = [tex]\frac{180-57}{2}[/tex] = [tex]\frac{123}{2}[/tex] = 61.5°
Erik took out a loan for $8400 for 6 years at a compound interest rate of 5.5%-
How much interest does Erik owe from the loan?
$11,582.28
$108,084.86
$2,772
$3,182.28
Answer:
$2772
Step-by-step explanation:
Given data
Principal= $8400
Rate= 5.5%
Time= 6 years
The expression for the simple interest on the loan is found using the expression below
SI= PRT/100
substitute
SI= 8400*5.5*6/100
SI= 277200/100
SI= $2772
Hence the simple interest is $2772
Answer:The answer is actually 3,182.28
Step-by-step explanation:
4 to the power of 6 multiplied by 4 to the power of 7
Answer:
Step-by-step explanation:
it would be 67108864
Answer:
[tex]4^{13}[/tex]
Step-by-step explanation:
In exponents multiplication, if base are same , add the powers
[tex]a^{m}*a^{n} = a^{m+n}\\[/tex]
[tex]4^{6}*4^{7}= 4^{6+7} = 4^{13}[/tex]
The table shows some ordered pairs that belong to the quadratic function h.
What is the range of h?
Answer:
C. Are all real numbers greater than or equal to -8.
Step-by-step explanation:
Real numbers can be said to be all continuous values of quantity, which can be negative or positive values.
The range of h, h(x), in the table given are all real numbers.
The least of the range of h on the table is -8. All the other range values, namely, -7, 1, 17, and 41 are all greater than -8. None is less than -8.
Therefore, we can conclude that the range values of h "are all real numbers greater than or equal to -8".
plss helppp !! Can someone explain how to do this pls
Please help me with this question thanks!
Answer:
infinite many solutions
Step-by-step explanation:
6x-1=2x+5+4x-6
0=-6x+1+6x-1
0=0
what is the surface area of the cylinder?
A)176[tex]\pi[/tex] cm^2
B)376.8cm^3
C)376.8cm^2
D)120[tex]\pi[/tex] cm^2
Answer:
Step-by-step explanation:
A=2πrh+2πr2
Putting values
2(22/7)(4)(11) + 2(22/7)(4)^2
= 376.8cm^2
Option C is the correct answer
Find the distance between the points.
(5.10),(5,4)
The distance is
Answer: 6??
Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)
Answer:
The distance will be √(x2-x1)^2+(y2-y1)^2
=√(5-5)^2+(10-4)^2
=√(0)^2+(6)^2
=√(6)^2
=6 units
what does x = ?
please please help
Question
what does x = ?
please please help
5x(2x+20)= 90
10x=90-20
10x=70
x=70/10
x=7
plz give brainliest +thanks
Answer:
10°
Step-by-step explanation:
5x + 2x + 20° = 90° { Being complementary angles }
7x = 90° - 20°
7x = 70°
x = 70° / 7
x = 10°
Hope it will help :)❤
Adult tickets to Space City Amusement park cost x dollars. Children's tickets cost y dollars. The Henson family bought 3 adult tickets and 1 child ticket for $163. The Garcia family bought 2 adult tickets and 3 child tickets for $174. Which equation represents the Hensons' cost?
3x+y=163 2x+3y=174
it should be like this {: and each point is one.
Can someone please solve these and explain how to do it. I'll give the brainliest to the best answer.
Answer:
5) 1/19x^6
6) 14a^3
7) 3/8
8) (3)/4s^3 r^8
Step-by-step explanation:
(-) exponents flip it to the other side of the bar
x^-6 = 1/x^6
With positive exponents, the exponent with the lower power subtracts from the higher power
Randy is playing a number game. Beginning with the number 6, he adds 4, multiples by
5, and then divides by -10. He then subtracts 2. What number does he find at the end of
the game?
A. -7
B. -3.6
C. -4.6
D. -5
a balloon is released at ground level, and it rises into the air at a constant rate. after 12 seconds the balloon is 180 feet above the ground.
complete the table to describe the proportional situation. type your answers in the blanks.
Answer:
y = 15x
0=0, 1=15, 2=30, 3=45, 4=60, 5=75, 6=90
Step-by-step explanation:
180/12 = 15 ft/s
Therefore, every second, the balloon rises 15 feet.
NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >
Answer:
y < 4/3x - 2
Step-by-step explanation:
Another way to find slope is to subtract [tex]\frac{y_{1}-y_{2} }{x_{1} -x_{2} }[/tex]. We are given two points. We can subtract the two y-values from each other for the numerator, then do the same for the x-values in the same order for the denominator.
We subtract the y-value 2 from -6.
2 - - 6 can also be taken as 2 + 6.
2 + 6 = 8.
Then, subtract the x-values.
Subtract 3 - -3, or 3 +3.
3 + 3 = 6.
Our slope, then, is [tex]\frac{8}{6}[/tex]. We can simplify this to [tex]\frac{4}{3}[/tex].
Now we can find our y-intercept. The line intersects with the y-axis at the point (0, -2)
The shading is on the left side and the line is dotted, so our sign is <.
The inequality is y < 4/3x -2.
What are the measurements of the garden?
Answer:
length 60 feet
length 2=60 feet
width 1=30feet
width 2=30feet
those is because there is 4 sides to a rectangle
Step-by-step explanation:
because the length is twice the width, 2x 30=length
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
Correct Question:
At a bake sale, plates of cookies, p, are sold for $5 each. The amount of money from the sale of cookies is expressed as dollars, d. Which equation represents the earnings of the bake sale?
1. p = 5d
2. d = p + 5
3. d = 5p
Answer:
3. d = 5p
Step-by-step explanation:
As one plate of cookies price is 5 $
The d is expressed as numbers of dollars which are earned.
Earnings = d = 5 x number of plates sold (p)
therefore
d = 5p
Answer:
d+p5
Step-by-step explanation:
A theme park has a ride that is located in a sphere. The ride goes around the widest circle of the sphere which has a circumference of 558.92 yd. What is the surface area of the sphere?
Answer:
The surface area of the sphere is = [tex]99426.41 yd^2[/tex]
Step-by-step explanation:
The area of a sphere can be calculated using this formula:
[tex]A=4\pi r^2[/tex]
However, we have a little problem: we do not have our radius yet to utilize in the formula above.
We can get our radius from the circumference of the circle which has been given to us.
circumference = [tex]2 \times \pi \times r[/tex]
[tex]r = \frac{circumference}{2 \pi} = \frac{558.92yd}{2\pi} = 88.95yd[/tex]
We now have our radius. we can input it into equation 1 above
The Surface area of sphere = [tex]4 \times \pi \times 88/95^2 = 99426.41yd^2[/tex]
Each day Theo walks dog 15 minutes in the morning and 25 minutes in the afternoon evaluate the expression 7 x (15 + 25) to find how many minutes to theo dog each week
Answer:
280 minutes
Step-by-step explanation:
Given that :
Daily dog walk routine :
Minutes walked in the morning = 15
Minutes walked in the afternoon = 25
Number of days per week = 7
The number of minutes Theo walks dog per week :
Number of days per week * (minutes walked in the morning + minutes walked in the afternoon)
7 * (15 + 25)
7 * (40)
= 280 minutes
0.8 k - 20 = -60
what does ‘k’ equal?
Answer:
K = -50
Step-by-step explanation:
0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.
Answer:
k equals -50Step-by-step explanation:
0.8 k - 20 = -60
0.8k = -60 + 20
0.8k = -0
k = [tex]\frac{-40}{0.8}[/tex]
k = -50
Find the area of the shaded region. Each shape is a square.
Answer:
the area of the 2in. one is 4in.²
the area of the 3in. one is 9in.²
the area of the 6in. one is 36in.²
Step-by-step explanation:
the formula for area of a square is a²
-1.52=3.8x
solve for x
Answer:
x = -0.4
Step-by-step explanation:
Express 0.35 ( non terminating recurring ) in the form of p/q ??
Answer:
7／20
Step-by-step explanation:
[tex]0.35 = \frac{35}{100} = \frac{7}{20} [/tex]
Answer:
Step-by-step explanation:
Hello Dear!!!!
Here's your answer...
x=0.353535...
this is equation 1
multiply with 100
100x = 35.353535...
this is equation 2
equation 2 - equation 1
100x = 35.3535...
x = 0.3535...
________________
99x = 35
x = 35/99
35/99 is the answer....
________________________________________
HOPE THIS HELPS YOU...
Broccoli costs $1.50 per pound at a store. how much money does 32 ounces cost
Answer:
$ 3.00
Step-by-step explanation:
1 pound = 16 ounces
2 pounds will cost 32 ounces
2 x $ 1.50
= $ 3.00
Please help I do not know how to do this
Answer:
B)1,200
Step-by-step explanation:
If you add up the close at 10pm numbers you get 60. Since the total number of people surveyed was 200 and the question asks if there were 4,000 you would divide 4,000 by 200 and you would get 20. Then you should multiply 60 by 20.
find the area of the base on prism
2 4/8 - 1 3/4 pls help i got 1 min
Answer:
1 1/8
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!
There are 35 rows in an auditorium. The first row has 38 seats. Each row after that has three more seats than the previous row.
a) write an explicit formula that represents the number of seats in one of the rows.
b) How many seats are in row 25?
c) How many total seats are in the auditorium?
Answer:
b
please correct if wrong
Step-by-step explanation:
Select the correct product.
(x2 + 4x+8)(2x - 1)
0x2+6 x+7
O 2x2 -782-12 X-8
O2 x° +7 x2 + 12 x -8
0x2+8 -8