The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).
Hence, the den will not have double the volume of the bedroom.
Does the den have double the volume of the bedroom?Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.
Volume of rectangular prism is expressed as;
V = l × b × h
Given that;
Length of the bedroom l = 10ftBreadth of the bedroom B = 4ftHeight of the bedroom h = 7ftLength of the den = 2l = 2×10ft = 20ftBreadth of the den = 2B = 2×4ft = 8ftHeight of the den = 2h = 2×7ft = 14ftFirst we calculate the volume of the bedroom.
V = l × b × h
Vr = 10ft × 4ft × 7ft
Vr = 280ft³
Next, we determine the volume of the den
V = l × b × h
Vd = 20ft × 8ft × 14ft
Vd = 2240ft³
The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).
Hence, the den will not have double the volume of the bedroom.
Learn more about the volume of rectangular prism here: https://brainly.com/question/27804313.
#SPJ1
URGENT AND IMPORTANT. WILL GIVE BRAINLIEST TO FASTEST CORRECT ANSWER. PLEASE ANSWER ASAP. PHOTO ATTACHED OF PROBLEM.
Answer:
A
B
C
and
D
Step-by-step explanation:
A
B
C
and
D
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Find the lateral area the regular pyramid.
LA. =
Answer:
Lateral surface area = [tex]18\sqrt{91}[/tex] units²
= 171.71 units²
Step-by-step explanation:
Lateral area: total surface area excluding its base
Find the radius (circumradius) of the regular hexagonal base. Use this to find the slant edge of the pyramid, then use the slant edge to find the slant height and thus the area of each face.
Radius of a regular polygon: distance from its center to its vertices.
[tex]\textsf{Radius of a regular polygon}=\dfrac{s}{2 \sin \left(\dfrac{180^{\circ}}{n}\right)}[/tex]
where:
s = side lengthn = number of sidesGiven:
s = 6 unitsn = 6[tex]\implies \textsf{Radius}=\dfrac{6}{2 \sin \left(\dfrac{180^{\circ}}{6}\right)}=6\:\sf units[/tex]
Use Pythagoras' Theorem to find the slant edge:
[tex]\begin{aligned}\textsf{Slant edge} & =\sf \sqrt{r^2+h^2}\\& = \sqrt{6^2+8^2}\\ & = 10\:\sf units\end{aligned}[/tex]
Use Pythagoras' Theorem to find the slant height:
[tex]\begin{aligned}\textsf{Slant height} & = \sqrt{\textsf{slant edge}^2-\left(\dfrac{s}{2}\right)^2}\\& =\sqrt{10^2-3^2}\\ & =\sqrt{91}\: \sf units\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of one face} & = \dfrac{1}{2} \times s \times \textsf{slant height}\\\\ & = \dfrac{1}{2} \cdot 6 \cdot \sqrt{91}\\\\ & = 3\sqrt{91}\: \sf units^2\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Lateral Surface Area}& = 6 \times \textsf{area of one face}\\ & = 6 \cdot 3\sqrt{91}\\ & = 18\sqrt{91}\\ & =171.71\: \sf units^2\:(nearest\:hundredth)\end{aligned}[/tex]
Find the measure of angle t
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]
➢Given two lines are intersecting lines➢ as it's clearly known when two or more lines meet each other at a specific points is said to be as intersecting lines nd they must be having a common point ➢Here angle t and angle 120⁰ forms adjacent anglesand sum sum of adjacent angles is 180⁰[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \underline{ \boxed{ \sf{✵\: let's\: solve\:✵}}}[/tex]
[tex] \sf ➛\angle \: 120 \degree + \angle \:t = 180\degree \\ \sf ➛\angle \:t = 180 \degree - \angle \:120 \degree \\ \sf ➛\angle \: t = \:60 \degree[/tex]
[tex]{ \rule{70mm}{2.9pt}}[/tex]
[tex] \boxed{✛\underline{ \boxed{ \sf{ \: \angle \: t = 60 \degree \: }}}✛}[/tex]
Hope it helps !
Look at the diagram. Which angle is supplementary to
Angle AOD
Angle AOB
Angle BOA
Angle AOE
Answer:
A supplementary angle plus another angle = 180 degrees
Angle AOB is the supplementary angle
A straight line = 180 degrees so,
So angle AOD + angle AOB = 180 degrees
Angle AOB is the supplementary angle.
Step-by-step explanation:
PLEASE HELP 10 POINTS!!
Answer:
I think its c but not really sure but ill calculate it if I ever had the chance
The length of a rectangle is 2 yd longer than its width.
If the perimeter of the rectangle is 48 yd, find its length and width.
Question: Add the decimals
591.79+528.192 =
312.7+2.566 =
235.977+61.889
Answer:
1. 1119.982
2. 315.266
3. 297.866
Answer:
1. 1119.982
2. 315.266
3. 297.866
PLEASE HELP ASAP
prove the identity:
sec x sin x
—————— =sin^2x
tan x+cot x
Options in pic
Answer:
See below
Step-by-step explanation:
[tex]\displaystyle \frac{\sec x\sin x}{\tan x+\cot x}\\\\=\frac{\frac{1}{\cos x} \sin x}{\frac{\sin x}{\cos x} + \frac{\cos x}{\sin x}}\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin x \sin x}{\cos x \sin x} + \frac{\cos x \cos x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x} }{\frac{\sin^2 x}{\cos x \sin x} + \frac{\cos^2 x}{\cos x \sin x}}\\\\=\frac{\frac{\sin x}{\cos x}}{\frac{\sin^2 x+\cos^2 x}{\cos x \sin x} }\\ \\=\frac{\frac{\sin x}{\cos x} }{\frac{1}{\cos x \sin x} }[/tex]
[tex]=\frac{\sin x}{\cos x}\cdot \sin x \cos x\\ \\=\frac{\sin x \sin x \cos x}{\cos x}\\ \\=\sin^2x[/tex]
Thus, the identity is proven. Match the options up accordingly to my step-by-step process.
Look at the rectangle. Write how many.
How many rows?
How many columns?
How many square tiles
There is only one row
3 columns
and 3 square tiles
help me plsssssssssssssssssssss
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Answer:
19/29 probability of bieng an only child
Step-by-step explanation:
Figure out this equation I already attempted to do it multiple times
Here's the link to the answer:
https://riverside.rocks/index.php
Simplify 5(xy+z)-2xy.
Answer:
3xy+5z
Step-by-step explanation:
5(xy+z)-2xy
=5xy+5z-2xy
3xy+5z
Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4.
Is this a reasonable answer?
A. Since - 5.3 rounds to -5 and 7.9 rounds to 7, the sum rounds to 2. Her answer of 2.4 rounds to 2. So, it is reasonable.
B. Since -5.3 rounds to -6 and 7.9 rounds to 7, the sum rounds to 1. Her answer of 2.4 rounds to 2. So, it is reasonable.
C. Since -5.3 rounds to -6 and 7.9 rounds to 8, the sum rounds to 2. Her answer of 2.4 is not equal to 2. So, it is not
reasonable.
D. Since -5.3 rounds to -5 and 7.9 rounds to 8, the sum rounds to 3. Her answer of 2.4 is not equal to 3. So, it is not
reasonable.
Answer:
D.
Step-by-step explanation:
-5.3 rounds up to -5
7.9 rounds up to 8
the sum of the two rounded is 3
her answer of 2.4 rounds to 2, not 3
so her answer is not reasonable
5b8c3
The degree of the monomial is?
Answer:
8
Step-by-step explanation:
The given monomial is :
5b⁸c³The degree of the monomial is the highest power to which a variable is raised to in the monomial. The greatest power in this case belongs to b⁸, which has a power of 8.
Hence, the degree of the monomial is 8
Please help. What is the area?
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle = 56 km²
What is the Area of a Composite Figure?Find the area of each shape that make up the figure, then add up to get the area of the composite figure.
The area of the composite figure = area of rectangle 1 + area of rectangle 2 + area of triangle
Area of rectangle 1 = (length)(width) = (6)(3) = 18 km²
Area of rectangle 2 = (length)(width) = (7 + 3)(2) = 20 km²
Area of triangle = 1/2(base)(height) = 1/2(10 - 4)(6) = 18 km²
The area of the composite figure = 18 + 20 + 18 = 56 km²
Learn more about area of composite figure on:
https://brainly.com/question/23781238
#SPJ1
Evaluate the determinant
NO LINKS!! Please help me with this problem
Answer:
Mix A is 2 unitsMix B is 1 unitMix C is 3 unitsStep-by-step explanation:
Let amount of Mix A is a, Mix B is b, Mix C is c.
With the given details, we get the following system
5a + 6b + 4c = 284a + 2b + c = 133a + 4b + 4c = 22Find the value of c (the easiest one) for substitution
c = 13 - 4a - bSubstitute c into the first equation
5a + 6b + 4(13 - 4a - 2b) = 285a + 6b + 52 - 16a - 8b = 28- 11a - 2b = 28 - 5211a + 2b = 24 (5)Substitute c into the third equation
3a + 4b + 4(13 - 4a - 2b) = 223a + 4b + 52 - 16a - 8b = 22- 13a - 4b = 22 - 5213a + 4b = 30 (6)Double the equation (5) and subtract (6), find the value of a
2(11a + 2b) - 13a - 4b = 2(24) - 3022a - 13a = 48 - 309a = 18a = 2Find b
11*2 + 2b = 2422 + 2b = 242b = 2b = 1Now find c
c = 13 - 4*2 - 2*1 c = 13 - 8 - 2c = 3Cooking oil is sold 250ml packets. How much money would Joshua pay for 1litre of cooking oil,if the market price of 1/2litre is 1700
Answer:
3400
Step-by-step explanation:
1L=1000ml
½L=500ml price = 1700
2(500)=2(1700)
1000L= 3400
hence Joshua will pay R3400 for 1L of cooking oil
7 > −3; Subtract 7 from both sides.
The resulting inequality is :
Answer:
0 > -10
True
Step-by-step explanation:
7 > -3 Starting with a true statement. This math sentence says, "7 is greater than -3"
7 > -3
-7 -7 Subtract 7.
Working vertically now (from the top, down)
7 > -3
-7 -7
_______
0 > -10
Because 7-7 is 0 on the left side. And
-3-7 is -10 on the right side. This statement is true, because zero is bigger than -10.
expression - 50 + 5/13p is equal to ____ when p = -26
Answer: : it’s 40
hope this helps :)
Step-by-step explanation: Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
please help me i’ll give you brainlist
Answer:
f(x ) ----> Output
x -----> Input
-5 -------> Slope
2 --------> y -intercept
Step-by-step explanation:
f(x) = -5x + 2
Compare this with y = mx + b
m = slope = co efficient of x
b = y-intercept = constant term
f(x ) ----> Output
x -----> Input
-5 -------> Slope
2 --------> y -intercept
Using diagonals from a common vertex, how many triangles could be formed from the polygon pictured below?
Answer:
i can help you
Step-by-step explanation:
mabey its hard for you
Will give brainiest for this question and my other question too!
BC=
4. Given the figure and DG = 23
D 2x-9 0
x + 3
G
X =
DO =
OG =
Answer:
x = 13
DO = 7
OG = 16
Step-by-step explanation:
If the sum of the entire figure is DO + OG = 23, then we can create the equation:
(2x-19)+(x+3)=23
From this equation, we can identify that x = 13.
We can use this information to find your final answers of...
x = 13
DO = 7
OG = 16
I need help plss. I’m getting frustrated!!
Answer: Irvin wrote the point at the wrong coordinate
Step-by-step explanation: Irvin wrote it at (3,4) instead of (4,3)
[should have gone right four, up three instead]
Answer:
The coordinates have been mixed up.
Step-by-step explanation:
The given coordinates were (4, 3) where 4 is the x-coordinate and 3 is the y-coordinate. Here, Irvin has taken the point (3, 4) where 3 is the x-coordinate and 4 is the y-coordinate. Hence, he mixed up the coordinates of the point.
Mayerlin models the volume of a popcorn box as a right rectangular prism and the box can hold 49 cubic inches of popcorn when it is full. Its length is 2\frac{3}{4}2
4
3
in and its height is 5\frac{1}{2}5
2
1
in. Find the width of the popcorn box in inches. Round your answer to the nearest tenth if necessary.
The width of the popcorn box that Mayerlin models given its dimensions and the volume is 3.2 inches.
What is the width?A rectangular prism is a three-dimensional shape that is made up of six faces and 12 sides.
Volume = length x width x height
Width = volume / (length x height)
49 / (2 3/4 x 5 1/2) = 3.2 inches
49 To learn more about rectangular prisms, please check: https://brainly.com/question/8890358
#SPJ1
Answer:3.2
Step-by-step explanation:
number 21 please and thank you
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
sin =opposite/hypotenuse
sinQ=5/6
Write an equation that represents the line.
Use exact numbers. please help and i cant get it wrong if ur answer isn’t right pls don’t put it fr
Answer:
y = (3/4)x-9/2
Step-by-step explanation:
We've got two points, (-2, -6) and (2, -3). That's more than enough info to construct a line. The slope of the line is the ratio between the change in y (Δy) and the change in x (Δx). Here, Δy = -3 - (-6) = -3 +6 = 3, and Δx = 2 - (-2) = 2 + 2 = 4, so the slope is Δy/Δx = 3/4. From here, we can use the point-slope form of a line to get a general equation. With the slope m = 3/4 and choosing the point (2, -3), we have
[tex]y-y_1=m(x-x_1)\\y-(-3)=(3/4)(x-2)\\y+3=(3/4)x-3/2\\y=(3/4)x-3/2-3\\y=(3/4)x-3/2-6/2\\y=(3/4)x-9/2[/tex]
If you get $10 starting May 21 2022 for every 8 days till October 1. How Much money will you have?
Answer:
$160
Step-by-step explanation:
the difference between May 21, 2022 -- October 1, 2022 = 133 days. since u only get money every 8 days divide 133 by 8 and round down.
[tex]133/8=16.625[/tex]
[tex]\approx16[/tex]
multiply 16 by $10 to get $160
1. Suppose that the time required to drive across town is uniformly distributed between 12 and 20 minutes. What is the simulated (average)
time to cross town using the following random numbers: 0.21 0.53 0.05 0.89 015 0.73 0.06 0.28 0.81 0.74 (rounded to 2 decimal place)
Using the mean concept, it is found that the simulated average time to cross town is of 0.445.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, the 10 values of the simulation are given by:
0.21 0.53 0.05 0.89 0.15 0.73 0.06 0.28 0.81 0.74
Hence, the mean is given by:
M = (0.21 + 0.53 + 0.05 + 0.89 + 0.15 + 0.73 + 0.06 + 0.28 + 0.81 + 0.74)/10 = 0.445.
More can be learned about the mean concept at https://brainly.com/question/24628525
#SPJ1
Justine bought a pair of boots for $76.68 and paid 13% sales tax. What was the price of these boots including tax?
Answer: $86.65
Step-by-step explanation:
First, find how much Justine paid in tax. To do this, first convert 13% to a decimal by dividing by 100. This gets a tax rate of 0.13. Now, multiply the price of the boots by the tax rate. 76.68*0.13 = 9.9684. Round to the nearest cent to get $9.97.
Now, add the amount paid in tax to the price of the boots. 76.68+9.97 = $86.65.