Answer:
D. sum of these edges is increased by 24 inches -- True
Step-by-step explanation:
Given a cube and its edge is increased by 2 inches.
To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.
Solution:
Let the side of original cube = a inches.
Formula for volume of cube:
[tex]V =side^3 = a^3[/tex]
If the side is increased by 2 inches, the side becomes (a+2) inches.
So, new volume, [tex]V' = (a+2)^3[/tex]
Using the formula:
[tex](x+y)^3 =x^3+y^3+3xy(x+y)[/tex]
[tex]V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)[/tex]
So, [tex]V' = V + 8+6a(a+2)[/tex]
Volume increased by 8+6a(a+2) [which is not equal to 8]
So, statement is false:
A. volume is increased by 8 cubic inches -- False
Each face in a cube is a square.
Area of each face, A = [tex]side^2 = a^2[/tex]
New area, A' = [tex](a+2)^2[/tex]
Using the formula: [tex](x+y)^2 =x^2+y^2+2xy[/tex]
[tex]A' = a^2+4+4a[/tex]
Area increased by 4+4a [which is not equal to 4 sq inches]
B. area of each face is increased by 4 square inches -- False
Diagonal of each face = [tex]a\sqrt2[/tex]
Increase of 2 in the edge:
New diagonal = [tex](a+2)\sqrt2 = a\sqrt2+2\sqrt2[/tex]
So, increase of [tex]2\sqrt2[/tex] not 2.
C. diagonals of each face is increased by 2 inches -- False
There are 12 number of edges in a square.
So sum of all 12 edges = 12a
When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24
An increase of 24.
D. sum of these edges is increased by 24 inches -- True
Which of the following symbols could correctly finish the statement. Select all that apply. 0___-8 = ≠ > < ≥ ≤
Answer:
>
Step-by-step explanation:
Even though its 0 its still greater than any negative number.
Answer:
Step-by-step explanation:
If the area of the figure is 16 square centimeters, what is the height of the triangle?
Answer:
3.2 cm = h
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
where b is the base and h is the height
b = 10 and the area is 16
16 =1/2 *10 *h
16 = 5h
Divide each side by 5
16/5 = 5h/5
3.2 cm = h
Determine the value of x is
Answer:
x = 5
Step-by-step explanation:
The measure of an arc equals the measure of the central angle that intercepts it.
The measure of an arc intercepted by a diameter is 180 deg.
m(arc)EH = 180
m(arc)EF + m(arc)FG + m(arc)GH = m(arc)EH
10x + 8 + 67 + 11x = 180
21x + 75 = 180
21x = 105
x = 5
HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.
Answer:
Answer is 36 I think
Step-by-step explanation:
im not sure
Rochelle deposits $6,000 in an IRA. What will be the value (in dollars) of her investment in 15 years if the investment is earning 9% per year and is compounded continuously? (Simplify your answer completely. Round your answer to the nearest cent.)
Answer:
$ 23,145
Step-by-step explanation:
This is a compound interest question where the interest is compounded continuously. Hence, the formula for the value of total amount of investment is:
A = P×e^rt
Where:
A = Total value of investment after t years
P = Principal or Initial amount invested = $6,000
e = Exponential function
r = interest rate = 9% = 0.09
t = time in years = 15
So:
A = $6000 × e^15 × 0.09
A = $6000 × e^1.35
A = $23,144.553184
Approximately , A ≈$23,145
Therefore, the value (in dollars) to the nearest cent of Rochelle's investment in 15 years if the investment is earning 9% per year and is compounded continuously is $23,145.
The amount of clay students used for their last art project is weighed. The line plot displays the amounts of clay. How much more clay did the students who used of a pound use than the students who used of a pound?
Answer:
C. 2 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.
Used 3/4 of a pound:
3/4(4) = 3 pounds
Used 1/4 of a pound:
1/4(3) = 3/4 pound
Now, subtract:
3 - 3/4 = 2 and 1/4
Answer
i got it right
C. 2
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth.
3.1
3.4
4.8
2.6
5 less than a number is equivalent to 1 more than three times the number.
The value of the unknown number is calculated as - 3
Let the unknown number = y
5 less than the number is written as = y - 5
1 more than three times the number is written as = 1 + 3y
Since the first statement and the second statement are equal, we can equate the two and solve for y.
y - 5 = 1 + 3y
collect similar terms together
y - 3y = 1 + 5
-2y = 6
y = -6/2
y = -3
Therefore, the number is - 3
learn more here: https://brainly.com/question/22548668
Building and solving the expression, it is found that the number is -3.
------------------
The number is unknown, so we are going to call it x.5 less than the number is x - 5.Three times the number is 3x.1 more than three times the number is 1 + 3x.They are equivalent, thus:
[tex]x - 5 = 1 + 3x[/tex]
Solving for x.
[tex]3x - x = -5 - 1[/tex]
[tex]2x = -6[/tex]
[tex]x = -\frac{6}{2}[/tex]
[tex]x = -3[/tex]
The number is -3.
A similar problem is given at https://brainly.com/question/20742606
a number has 2,5 and 7 as its prime factors. what are the four smallest values it and take
Answer:
70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
70 = 2·5·7
140 = 2²·5·7
280 = 2³·5·7
350 = 2·5²·7
plz help ASAP!!!!!!!!!!!!!
Answer:
3rd option is correct
Step-by-step explanation:
If the table represents a function, that means that it is proportional. But the value increases and decreases, showing no proportional relationship.
So, the answer could be 1st or 3rd as they tell that the table doesn't represent a function.
1st answer says the table doesn't represent a function because the 2 (y-values) are similar;
Their x-values are different so, this answer is wrong.
3rd answer says that the table doesn't represent a function x-value increases, while y-value increases and decreases;
The statement is correct because it this table doesn't represent a proportional relationship as its y-values are increasing and decreasing while its x-values are only increasing.
So, the 3rd option is correct.
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Addition property of Equality
Step-by-step explanation:
Adding same quantity to both sides of equation is called addition property of equality
Jackson's rectangular bedroom has an area of 90 sq ft. The area of his bedroom is 9 times that of his rectangular closet. If the closet is 2 ft wide, what is it's length?
Answer:
5 feet
Step-by-step explanation:
Since Jackson's bedroom is a rectangle, it has dimensions of length times width. Suppose the length is l and the width is w.
The area of a rectangle is given by A = lw, where l is the length and w is the width. Here, we know the area is 90, so:
lw = 90
We also know that this area of 90 square feet is 9 times that of the closet, so suppose the area of the closet is c. Then:
9c = 90
Divide by 9:
c = 90/9 = 10 square feet
So, the area of the closet is 10 square feet. Since the width is 2, we know the length will be:
A = lw
10 = lw
10 = 2 * l
l = 10/2 = 5
The length is thus 5 feet.
~ an aesthetics lover
Answer:
5 ft
Step-by-step explanation:
If his bedroom is 9 times of his closet, then that means you divide the area of his bedroom by 9. So, 90 divided by 9=10. That means the closet has an area of 10 sq. ft. As we all know, the area is the length times width. So if the width is 2 ft, then we need to multiply it by a number so it will equal 10. You can do 10 divided by 2 to find it, which equals 5. That means the length of the closet is 5 sq. ft.
Find the degree of the monomial.
s8t
The degree is
Answer:
Step-by-step explanation:
the degree of 8^8t
16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1
I WILL MARK BRAINLIEST!f(x)=x/x-7
Determine for each x-value whether it is in the domain of f or not
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = [tex]\frac{x}{x-7}[/tex]
The denominator cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be.
solve
x - 7 = 0 ⇒ x = 7 ← excluded value
Thus
x = - 7 → in domain
x = 0 → in domain
x = 7 → not in domain
Answer:
-7= in domain
0= in domain
7= not in domain
Step-by-step explanation:
give the other person brainliest not me! they did really good!!!!
Which set of integers represents the lengths of the sides of an isosceles triangle? A. {6,6,5} B. {3,4,5} C. {15,5,10} D. {1,1,3}
Answer:
A 6,6,5
Step-by-step explanation:
because an isosceles triangle has two it side equal
The set of integers represents the lengths of the sides of an isosceles triangle is A (6,6,5).
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle.Properties of an Isosceles Triangle
Here is a list of some properties of isosceles triangles:
In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.In the isosceles triangle given above, the two angles ∠B and ∠C, opposite to the equal sides AB and AC are equal to each other.The isosceles triangle has three acute angles, meaning that the angles are less than 90°.The sum of three angles of an isosceles triangle is always 180°. Types of Isosceles TrianglesGenerally, isosceles triangles are classified into three different types:
Isosceles acute triangle: An isosceles acute triangle is a triangle in which all three angles are less than 90°, and at least two of its angles are equal in measurement. Isosceles right triangle: The following is an example of a right triangle with two legs (and their corresponding angles) of equal measure. Isosceles obtuse triangle: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.Therefore, set of integers represents the lengths of the sides of an isosceles triangle {6,6,5}.
Learn more about Isosceles Triangle is on :
brainly.com/question/11884412
#SPJ2
(05.01) A window is 4 feet and 8 feet tall. A manufacturer wants to use a scale factor of 1.5 to enlarged a window. What will the area of the wind will be after it is enlarged?
Answer:
the window would be 72ft²
Step-by-step explanation:
A window is rectangular in shape.
the area of a rectangle is give as length * breadth
but this question say that the manufacturer wants to enlarge the window by 1.5
therefore we are going to multiply the length by 1.5 and the breadth also by 1.5 to get the new area of the bigger window.
length = 8 * 1.5
= 12
width = 4 * 1.5
= 6
The new area would be = l * b
= 12 * 6
= 72ft²
This is the question
For answers, please refer to the picture attached
Answer:
I can't give a full answer because I can't see the image whilst giving an answer but I'll try so....
Step-by-step explanation:
Angles in a straight line add to 180° so when you have one of two of them angles are them together and take away from 180°
Angles around a full point add to 360° so add angles together and take away from 360°
On A I think it is you have a 360° angle and have to work out 3 and you have one already done and the opposite angle is the same as that so you basically have two angles then you add them together then take from 360 then divide the answer by two and then that would be the angles for a and x
And for the last one you have been given two angles with a right angle and a right angle equals 90 so add them together and take from 180 to get the missing angle
Hope this helps :)
solve for g 2-4g=14
Answer: g=-3
Step-by-step explanation: 2-4g=14
-2 -2
-4g=12
-4g/-4=g 12/-4=-3
Answer:
g = -3
Step-by-step explanation:
2-4g=14
Subtract 2 from each side
2-2-4g=14-2
-4g = 12
Divide each side by -4
-4g/-4 = 12/-4
g = -3
Find the measure of KM¯¯¯¯¯¯¯¯¯¯.
Answer:
12
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 7+x+2) * 7 = ( 6+8) * 6
Combine like terms
(9+x) *7 = 14*6
Distribute
63 +7x = 84
Subtract 63
63 +7x -63 = 84-63
7x =21
Divide by 7
7x/7 = 21/7
x = 3
KM = x+2+7
= 3+2+7
=12
Answer:
[tex]\huge\boxed{KM = 11}[/tex]
Step-by-step explanation:
According to secant - secant theorem:
(MK)(ML) = (MR)(MN)
Where
MK = 7 + x+ 2 = x + 9
ML = 7
MR = 8 + 6 = 14
MN = 6
=> (x+9)(7)= (14)(6)
=> 7x + 63 = 84
Subtracting both sides by 63
=> 7x = 84 - 63
=> 7x = 21
Dividing both sides by 7
=> x = 3
Now,
KM = x + 9
KM = 3 + 9
KM = 11
15 x = -27 + 6x cuál es la respuesta de la ecuación, ¿me ayudan? gracias!
Answer:
x = -3
Step-by-step explanation:
If the equation is correctly written as 15·x = -27 + 6·x
Then we have;
15·x = -27 + 6·x
We subtract 6·x from both sides to have all the variables (x) on one side as follows;
15·x - 6·x= -27 + 6·x - 6·x
Which gives;
x·(15 - 6) = -27 + x·(6 - 6)
We note that 6 - 6 = 0, therefore, we have;
x × 9 = -27 + x × 0
We not that x × 0 = 0, therefore;
x × 9 = -27
We now divide both sides with the 9 to get the value of x alone as follows;
x×9/9 = -27/9
Which gives;
x = -27/9 = -3
x = -3
I suck at math so please help :)
Answer:
the answer to this question is
B. 1/2
hope this helps u
Take away 3 from 8 times K
Answer:
8×k-3
Step-by-step explanation:
that would be the equation (:
Answer:
8k - 3 is the answer because they are not like terms.
There are 55 students in mr.fishers p.e class. There are 30 6th graders and 25 7th graders in the class. What is the ratio of 6th graders to 7th graders in nr.fishers class
Answer:
6:5
Step-by-step explanation:
It's 6:5 trust homie
Please answer this question now
Answer:
117°
Step-by-step explanation:
Arc ABC (AB + BC) is intercepted by angle D.
Therefore, Arc ABC is 2 × m<D. (Inscribed Angle Theorem)
AB = 91°
m<D = 104°
Let BC = x
Arc ABC = (91° + x)
Thus,
91° + x = 2 × 104°
Solve for x
91 + x = 208
Subtract 91 from both sides
91 + x - 91 = 208 - 91
x = 117
Measure of arc BC = 117°
Assignment: Counting Investigation Dakota and Karen noticed that there were a bunch of combinations available in their school cafeteria. Think about a meal at your school, or maybe a favorite restaurant. How many combinations of choices do you have? Create a tree diagram listing the possible combinations, and count the results. 1. For what will you find the number of combinations? ______________________________________________________________________________________________________________________ 2. List at least three categories to consider. ______________________________________________________________________________________________________________________ 3. List the choices within each category. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 4. Assign each choice a symbol. Ex. juice = (diamond shape) ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ 5. Create a tree diagram to determine the number of combinations available. 6. List all possible combinations and count the total number of possibilities. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Hi there! Hopefully this helps!
---------------------------------------------------------------------------------------------------------
Q1: (For what)"Will you find the number of combinations?"
Answer: (I unfortunately don't understand this very well so I'm giving it my best, and take this with a grain of salt.) I will be able to find combinations using a school cafeteria!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q2: "List at least three categories to consider."
My choices:
Answer: Fruits, Vegetables, Protein.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q3: "List the choices within each category."
Answer:
Fruits: Apples, Bananas, and Grapes.
Vegetables: Cauliflower, Carrot, and Corn.
Protein: Green beans, Salmon, and Almonds.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q4: "Assign each choice a symbol. Ex. juice = (diamond shape)"
Answer:
Fruits: Apples, Bananas, and Grapes.
Vegetables: Cauliflower✨, Carrot, and Corn.
Protein: Green beans, Salmon, and Almonds.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Q5: "Create a tree diagram to determine the number of combinations available."
(I'm not very familiar with a tree diagram so here is my interpretation at the bottom.)
(You can rewrite this and do it your way if you want).
Q6: "List all possible combinations and count the total number of possibilities."
There are 27 combinations possible!
All of my possible combinations:
Apples, Cauliflower, Green beans.Apples, Cauliflower, SalmonApples, Cauliflower, Almonds.Bananas, Cauliflower, Green Beans.Bananas, Cauliflower, Salmon.Bananas, Cauliflower, Almonds.Grapes, Cauliflower, Green bean.Grapes, Cauliflower, Salmon.Grapes, Cauliflower, Almonds.Apples, Carrot, Green beans.Apples, Carrot, Salmon.Apples, Carrot, Almonds.Bananas, Carrot, Green beans.Bananas, Carrot, Salmon.Bananas, Carrot, Almonds.Grapes, Carrot, Green beans.Grapes, Carrot, Salmon.Grapes, Carrot, Almonds.Apples, Corn, Green beans.Apples, Corn, Salmon.Apples, Corn, Almonds.Bananas, Corn, Green beans,Bananas, Corn, Salmon.Bananas, Corn, Almonds.Grapes, Corn, Green Beans.Grapes, Corn, Salmon.Grapes, Corn, Almonds.The last image below is for Qestion 5.
Please help...25 points
Answer:
[tex]\huge\boxed{x = -\frac{5}{6}}[/tex]
Step-by-step explanation:
[tex]f(x) = -12x+7[/tex]
Given that f(x) = 17
[tex]17 = -12x+7[/tex]
Subtracting 7 to both sides
[tex]17-7 = -12x[/tex]
10 = -12 x
Dividing both sides by 12
[tex]x = - \frac{10}{12}[/tex]
[tex]x = -\frac{5}{6}[/tex]
Answer:
-5/6 =x
Step-by-step explanation:
f(x) = -12x+7
We want to find x when f(x) = 17
17 = -12x+7
Subtract 7 from each side
17-7 = -12x +7-7
10 = -12x
Divide each side by 12
10/-12 = -12x/-12
-5/6 =x
A rectangle has an area of 21x+81. If the width is 3 units, what is the length of the rectangle
Answer:
(7x + 27) units
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides) in which opposite sides are equal and parallel, also all the angles are equal. The area of a rectangle is given as:
Area = Length × Width
Given that the area of the rectangle is 21x + 81 and the width is 3 unit, to find the length of the rectangle, we have to use the formula of the area and then get the length. Therefore:
Area = Length × Width
21x + 81 = Length × 3
Length = (21x + 81) /3
Length = 7x + 27
The length of the rectangle is 7x + 27 units
Choose the inequality that represents the following graph.
Answer:
It is c
Step-by-step explanation:
because five is bigger than zero
Answer:
[tex]\sf x > 0[/tex]Step-by-step explanation:
The arrow points to all values greater than 0. And the point at 0 is not filled in. So, the inequality represents everything strictly greater than 0.
[tex]\bf x > 0[/tex]
___________________
Hope this helps!
Have a great day!
A man borrows $200 000 to buy a sports car. He is charged a simple interest of
2.88% per annum. If the loan is for 7 years, find the
(a) interest payable
(b) amount of each repayment if the total sum is to repaid in 84 equal
installments.
Answer:
See explanation
Step-by-step explanation:
a) 200,000 x .0288 x 7 = 40,320 interest
b) 240,320/84 = $2860.95
Point M is on line segment LN. Given MN=2 and LM=4, determine the length LN.
Answer:
LN = 6
Step-by-step explanation:
Since M is on LN, then
LN = LM + MN = 4 + 2 = 6
Answer:
[tex]\huge \boxed{6}[/tex]
Step-by-step explanation:
Point M is on the line segment LN.
LM = 4
MN = 2
LN = LM + MN
LN = 4 + 2 = 6
