Answer:
No. The den will have 8 times the volume of the bedroom.
Step-by-step explanation:
The architect wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. Let's find the volume of the bedroom:
8 * 4 * 7 = 224 cubic feet
The architect doubles all three dimensions to create the den. This means that the den has dimensions as 16 ft by 8 ft by 14 ft.
The volume of the den is:
16 * 8 * 14 = 1792 cubic feet
Double of 224 cubic feet is 448 cubic feet.
Hence, the den will not have double the volume of the bedroom instead it will have a volume 8 times the that of the bedroom.
Doubling the initial dimensions of 8 ft. by 4 ft. by 7 ft. means that the
volume will 8 times the initial volume or 1,792 ft.
What is the scale factor of volume be used?
The dimensions of the room = 8 ft. by 4 ft. by 7 ft.
The amount by which the architect increases the dimension = Double the dimensions
Solution;
The volume of the room, V = 8 ft. × 4 ft. × 7 ft. = 224 ft.³
When the dimensions are doubled, we have;
Length = 2 × 8 ft. = 16 ft.
Width = 2 × 4 ft. = 8 ft.
Height = 2 × 7 ft. = 14 ft.
The new volume of the bedroom = 16 ft. × 8 ft. × 14 ft. = 1792 ft.³
Therefore;
The volume of the bedroom after doubling the dimension will be 1,792 ft.³Scale factor of volume = (Scale factor of length)³
Therefore;
Doubling the dimensions means that the volume of he room will be
multiplied by 2³ = 8 rather doubling the initial volume.
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Answer these please!!!!
Answer:
2/3
Step-by-step explanation:
i hope this helps but um... 2/1÷2/3=2/3
Find x if f(x)=2x+7 and f(x)=-1
Answer: -4
Step-by-step explanation:idk
Answer:
x= -4
Step-by-step explanation:
Take the two functions to equal to eachother, bring 7 to the right side of the equal sign which will now be negative and minus it with -1 to get -8 . Then divide 2 both sides to get x= -4.
Determine and prove which lines are parallel.: Need by Tuesday!! Thanks!
If the gradients are not the same, then there will be a point, which intersects. That contradicts the statement that theclines have no points in common.
Step-by-step explanation:
Parallel lines are lines that have the same gradient.
Because parallel lines have a fixed distance between each other,it means they will never meet, no matter how long they are extended.
Since parallel lines have the same slope by definition, they will never intersect. Parallel lines continue, literally, forever without touching.
Prove:
Suppose that there are two lines, line l and line m, which have no points in common. Both lines are in the same plane.
If the gradients are not exactly the same, then there will be a point, which intersects. That contradicts the first statement (which says l and m have no points in common), therefore the gradients must be the same in order for l and m to have no points in common.
Suppose a car rental company charges $22.50 plus 10 cents per mile write a function rule that models this situation
Answer:
C(m) = 22.50 + .10m
Step-by-step explanation:
Cost = fee + mileage
Cost = 22.50 + .10m where m is the number of miles
C(m) = 22.50 + .10m
The area of a rectangle is 112 units squared.
The length is 7 and the width is the square root of "x".
What would be the value of "x"?
What is the width of the rectangle?
Answer:
Step-by-step explanation:
The area for a rectangle is A = LW. We know the area and we also know the length. We are solving for the width.
[tex]112=7\sqrt{x}[/tex] and
[tex]16=\sqrt{x}[/tex]
Siince the width is given as the square root of x, and the square root of x is equal to 16, then the width is 16. Now to find the value of x from the last statement in our equation. If
[tex]16=\sqrt{x}[/tex] and we want to solve for x, we will square both sides, since squaring undoes a square root. Since this is an equation, we have to square both sides.
256 = x
The area of the rectangle is 112 units and the width is 16 units
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangle be represented as A
Now , the value of A is
A = 112 units
Let the length of the rectangle be L = 7 units
Let the width of the rectangle be W = √x units
Now , Area of Rectangle = Length x Width
Substituting the values in the equation , we get
Area of the rectangle = 7 √x
7√x = 112
Divide by 7 on both sides of the equation , we get
√x = 16
Taking the square on both sides of the equation , we get
x = 16²
x = 256
Therefore , the value of x is 256
Hence , the width of the rectangle is √x = 16 units
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help me solve this please .
Answer:
[tex]\boxed{\sf \ \ \ d=6 \ \ \ }[/tex]
Step-by-step explanation:
we know (thanks to Pythagoras) that
[tex]d = \sqrt{5^2+3^2}= \sqrt{25+9}= \sqrt{36}=6[/tex]
what is the combined lenght of all buttons longer than 1 inch?
Answer:
2 12 1/2 inches
Step-by-step explanation:
1: 1 1/4 + 1 1/4
2: 1+1 = 2; 1/4 + 1/4 = 2/4
3: 2 2/4
Answer: 2 2/4
Hope this helps.
Answer:
2 12 1/2 inches
Step-by-step explanation:
Hope it helps <3
What is the length of the diagonal, d, of the rectangular prism shown below?
Answer:
The answer is 8.3
Step-by-step explanation:
(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)
I split the box on the right diagonally and got the equation
[tex]4^{2}[/tex] + [tex]2^{2}[/tex] = [tex]x^{2}[/tex]
=16 + 4 =[tex]\sqrt{20}[/tex]
≈4.5
The new triangle will help solve what d is
[tex]4.5^{2}[/tex] + [tex]7^{2}[/tex] = [tex]d^{2}[/tex]
=20.25 +49 = [tex]\sqrt{69.25}[/tex]
≈8.3
The diagonal of the rectangular prism shown is 8.3.
What is diagonal?A polygonal is a closed, two-dimensional structure that is flat or plane and seems to have excellent dimensional.
A diagonal is a line segment that joins 2 opposing polygonal vertices.
In another word, a diagonal is an inclined line that connects two orthogonal lines to become a complete triangle.
Diagonal is the use for the idea of the length of sides, for example, if you want to measure the height of a tower knowing diagonal will surely help to do this.
Given a rectangular prism
Let x is the diagonal of the sides 7 and 4 then
By Pythagoras theorem
4² + 7² = x²
x² = 65
x=8.06
Now in the right-angle triangle of sides d,x and 2
d² = 65 + 4
D = √(69)
d = 8.30 hence, the correct answer is 8.30.
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In ΔWXY, the measure of ∠Y=90°, the measure of ∠W=60°, and YW = 40 feet. Find the length of WX to the nearest tenth of a foot.
Answer:
XW = 80 feet
Step-by-step explanation:
To answer this question, we shall be needing a diagrammatic representation of the triangle.
Please check the attachment for this.
We are told to calculate the length XW and this refers to the hypotenuse of the triangle.
The other side that we have is the adjacent.
So yo calculate the length of XW, we need a trigonometric identity that links hypotenuse and adjacent together.
The trigonometric identity to use here is the cosine.
Mathematically;
Cos of an angle = length of the adjacent/length of the hypotenuse
Cos 60 = 40/XW
XW = 40/Cos 60
Cos 60 = 1/2 or 0.5
XW = 40/0.5 = 80 feet
Solve for w.
14 + 3(–w + 6) = –11w
w =
Answer:
w = -4
Step-by-step explanation:
→Distribute the 3 to (-w + 6):
14 + 3(-w + 6) = -11w
14 -3w + 18 = -11w
→Add like terms:
-3w + 32 = -11w
→Add 11w to both sides:
8w + 32 = 0
→Subtract 32 from both sides:
8w = -32
→Divide both sides by 8
w = -4
Answer:
w= -4
work:
14-3w+18=-11w
32-3w=-11
-3w+11w=-32
8w=-32 divide by 8 then you will get your answer
w=-4
The truth table represents statements p, q, and r.
p q r p ∧ q p ∧ r
A T T T T T
B T T F T F
C T F T F T
D T F F F F
E F T T F F
F F T F F F
G F F T F F
H F F F F F
Which rows represent when (p ∧ q) ∨ (p ∧ r) is true?
A and B
A, B, and C
B and E
Answer:
A, B, and C
Step-by-step explanation:
EDGE unit test 2020
The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below
What is a truth table?The truth table is known to be a table that depicts the real value of any kind of compound statement.
Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.
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In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical values in that order with the measures separated by commas.
Answer:
m∠R = 112°, m∠S = 112°, m∠T = 68°
Step-by-step explanation:
In a cyclic quadrilateral QRST,
m∠R + m∠T = 180° [Since opposite angles of a cyclic quadrilateral measure 180°]
(3x + 40)° + (5x - 52)° = 180°
8x - 12 = 180
8x = 180 + 12
8x = 192
x = 24
m∠R = (3x + 40) = 3×24 + 40
= 72 + 40
= 112°
m∠T = 180° - m∠R
= 180° - 112°
= 68°
Since m∠Q = 68°
m∠S = 180° - m∠Q
= 180° - 68°
= 112°
Therefore, m∠R = 112°, m∠S = 112°, m∠T = 68°
Answer:
112, 112, 68
Step-by-step explanation:
It took me over 15 min to figure out what the answer was. When answering it, you have to be very specific.
how to find a side length in a triangle with all the degrees and one side length
Answer:Case I
When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem
Case II
When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa
Step-by-step explanation:
Solve for y.
–0.8y + 5.49 = –19.86 − 2.3y
y =
Answer:
y = -16.9
Step-by-step explanation:
→Add 0.8y to both sides:
-0.8y + 5.49 = -19.86 - 2.3y
5.49 = -19.86 - 1.5y
→Add 19.86 to both sides:
25.35 = -1.5y
→Divide both sides by -1.5:
-16.9 = y
Answer:
[tex] \boxed{y = - 16.9} [/tex]
Step-by-step explanation:
[tex] = > - 0.8y + 5.49 = - 19.86 - 2.3y \\ \\ = > - 0.8y + 2.3y + 5.49 = - 19.86 \\ \\ = > 1.5y + 5.49 = - 19.86 \\ \\ = > 1.5y = - 19.86 - 5.49 \\ \\ = > 1.5y = - 25.35 \\ \\ = > y = - \frac{25.35}{1.5} \\ \\ = > y = - 16.9[/tex]
Graph y < x^2 - 3. please help
Answer:
Step-by-step explanation:
the shaded area is a solution.
pis possib
How many gallons of a 60% antifreeze solution must be mixed with 100 gallons of 15% antifreeze to get a mixture that is
50% antifreeze? Use the six-step method.
Gallons of
Antifreeze
Strength Gallons of
Solutions
60%
X
15%
100
50%
X + 100
Answer:
x = 350 gallons (amt of 60% solution that must be added)
Step-by-step explanation:
Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons
Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons
Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons
EQUATION:
Active ingredient: 0.60x + 15 = 50 + 0.50x
0.10x = 35
x = 350 gallons (amt of 60% solution that must be added)
Complete the statements.
A triangular prism has__bases and___lateral faces
A triangular pyramid has____
bases and___lateral faces
Answer:
A triangular prism has two bases and three lateral faces.
A triangular pyramid has one base and three lateral faces.
Step-by-step explanation:
A triangular prism is a solid geometrical shape. The base is triangular in shape. There are two bases that are triangular. Other lateral faces are rectangular in shape. They are three in number.
A triangular pyramid is also a solid geometrical shape. The base is a polygon. The lateral faces are triangular in shape and are three in number. The lateral faces are congruent.
Answer:
So im to lazy to right the answer so just look above me so hows it going?
Step-by-step explanation:
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
Up by 3 units, right by 9 units.
Step-by-step explanation:
The subtraction in (x-9)^2 makes the function shift to the right, adding would make it shift left! Adding numbers to the equation would make the function go up, and subtracting would make it go down. Hope this helps :)
You flip two coins and roll a dice. What is the probability of flipping two tails and rolling an even number?
FIND THE VALUE OF X FOR THIS MATH QUESTION
Answer:
x = 2
Step-by-step explanation:
Since the central angles are congruent, and all radii are congruent, the triangles are congruent. By CPCTC x = 2.
(CO 3) Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 7 of the 10 have the right shape, should the company stop the production line? No, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is unusual Yes, as the probability of seven having the correct shape is not unusual No, as the probability of seven having the correct shape is not unusual
Answer:
Step-by-step explanation:
This is a binomial probability distribution and the probability of success and value is the same for each trial.
Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success is
89.4/100 = 0.894
If exactly 7 of the 10 have the right shape, should the company stop the production line, it means that the probability of getting right shaped tires in this case is 7/10 = 0.7
This is actually below the known probability of success. Therefore, the correct option is
Yes, as the probability of seven having the correct shape is unusual
Find the circumference of the circle below. (Use 3.14 for Pi)
A. 78.5 cm
B. 15.7 cm
C. 31.4 cm
D. 314 cm
so the right answer is 31.4 cm(option C)
please see the attached picture for full solution
Hope it helps
Good luck on your website
Answer:
C. 31.4 cm
Step-by-step explanation:
→The formula for finding the circumference of a circle is:
C = 2πr
→However, it states that we use 3.14 for π:
C = 2(3.14)r
→The "r," is the radius, which is a straight line from the perimeter to the center. In this case, it is already given to us as 5 cm.
C = 2(3.14)(5)
C = 31.4
How do you complete the square of h(x)= x^2 + 6x + 7
Answer:
[tex] (x + 3)^{2} - 2[/tex]
Step-by-step explanation:
[tex]h(x)= x^2 + 6x + 7 \\ = x^2 + 2.3.x + {3}^{2} - {3}^{2} + 7 \\ = (x + 3)^{2} - 9 + 7 \\ \purple { \bold{h(x)= (x + 3)^{2} - 2 }}[/tex]
simplify (3x+5)+(2x-9)-(4x+3)
Answer: X-7
Step-by-step explanation:
I put it into Tiger Algebra Calculator and that is what I got. Great tool btw I would recommend.
Answer:
3x+2x-4x+5-9+3
5x-4x+8-9
x-1
hope it helps
solve for k.
6(3k + 15) − 16k = 7k
k =
Answer:
k = 18
Step-by-step explanation:
6(3k + 15) − 16k = 7k
Distribute
18k +90 - 16k = 7k
Combine like terms
2k + 90 = 7k
Subtract 2k from each side
2k+90-2k = 7k -2k
90 = 5k
Divide by 5
90/5 = 5k/5
18 = k
Answer:
[tex]k = 18[/tex]
Step-by-step explanation:
[tex]6(3k + 15)- 16k = 7k \\ 18k + 90 - 16k = 7k \\ 18k - 16k - 7k = - 90 \\ - 5k = - 90 \\ \frac{ - 5k}{ - 5} = \frac{ - 90}{ - 5} \\ k = 18[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
PLeAse HELP me! WIll GIVE Brainliest!!
Write an equation of the circle with center (-2,3) and radius 5.
Answer:
The formula is: [tex](x+2)^2+(y-3)^2=25[/tex]
Step-by-step explanation:
Recall the formula for the equation of a circle with center at the point [tex](x_0,y_0)[/tex]of radius "R' as:
[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]
Therefore for your case, the formula becomes:
[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-(-2))^2+(y-3)^2=5^2\\(x+2)^2+(y-3)^2=25[/tex]
find the perimeter of this figure to the nearest hundredth use 3.14 to approximate pi P=?ft
Answer:
Step-by-step explanation:
perimeter of the figure = perimeter of the rectangle + perimeter of the semicircle
= 2(l+B) + [tex]\pi[/tex] r
= 2( 10+8) + 3.14 × 5
= 36 + 15.7
= 51.7
= 100 ( rounding off to nearest hundredth )
hope this helps
plz mark it as brailiest!!!!!!
Answer:
48.57 ft
Step-by-step explanation:
Perimeter of Rectangle:
=> 2L+2B
Where L is length and B is Breadth
=> 2(10)+2(8)
=> 20+16
=> 36 ft
Here, Perimeter of Semi-circle:
=> πD/2
Where D = 8
=> (3.14)(8)/2
=> 12.57 ft
Perimeter of the figure
=> 36+12.57 = 48.57 ft
Look at the graph below. Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Answer:
3
Step-by-step explanation:
The slope of the given line is [tex]\frac{2}{3}[/tex].
What is the slope of a line passing through two points?If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Here, the given line passes through points (0, 6) and (-9, 0).
Therefore, the slope of this line is (m)
[tex]= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}[/tex]
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During the Hari Keusahawanan in a school, 800 booklets of coupons were sold. The price of each booklet of coupons was RM30 and RM50 respectively. The total amount collected was RM30 000. How many booklets of RM30 and RM50 coupons were sold?
(**please use the simultaneous linear equations in two variables to solve this question)
Answer:
hope this is correct
The product of two positive numbers is 1,800. One number is twice the other number. The equation to determine the two numbers, with x representing the value of the lesser number, is x(2x) = 1,800. What is the value of the lesser number?
Answer:
600
Step-by-step explanation:
x+2x=1800
3x=1800
x=600
Answer:
- 30
Step-by-step explanation:
The 2 numbers are x and 2x and thir product is 1800, that is
x × 2x = 1800
2x² = 1800 ( divide both sides by 2 )
x² = 900 ( take the square root of both sides )
x = ± [tex]\sqrt{900}[/tex] = ± 30
The 2 numbers are 30 and - 30 with - 30 being the lesser number
