The volume of the resulting prism is 3.375 times of original volume.
What is a dilation or scale factor?The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
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Can someone please help me with this?? I need help asap!
Express this equation in logarithmic form.
2^3 = 8
Express this equation in logarithmic form.
6^3 = 216
Express this equation in logarithmic form.
4^0.5 = 2
Express this equation in logarithmic form.
b^x = N
Express this equation in logarithmic form.
y = 10^x
Answer:
Learn how to solve any exponential equation of the form a⋅b^(cx)=d. For example, solve 6⋅10^(2x)=48.
Step-by-step explanation:
Answer:
[tex]b^x = y[/tex], then [tex]log_{b}y[/tex] = x
Step-by-step explanation:
easy
Find the unknown sizes of angles
Answer:
R=50 b=130 a=135
Step-by-step explanation:
Sum of Internal angles = 180
R= 180-85-45 = 50
missing interior angle R = 50
If a side of a triangle is produced, then the exterior angle that is formed is equal to the sum of the two interior opposite angles.
P+Q = 85+45= 130 b=130
P+R = 85+50 = 135 a=135
To solve this problem, we would have to add the sum of angles in a triangle and then find the missing side. Furthermore, value of R, a and b are 50°, 135° and 130° respectively.
Data;
P = 85°Q = 45°a = ?b = ?Sum of Angles in a TriangleThe sum of angles in a triangle is equal to 180° and we can find the missing side on R.
[tex]P+Q+R = 180^0\\85^0+45^0+R = 180^0\\130^0+R=180^0\\R = 180 - 130 \\R = 50^0[/tex]
Since we know the value of R and Q, we can proceed to find a and b.
[tex]Q+ a = 180\\[/tex]
The reason behind this is that the sum of angles on a straight line is equal to 180^0
[tex]45+a = 180 \\a = 180 - 45 \\a = 135^0[/tex]
Now let's find the value of b
[tex]R + b = 180\\R = 50^0\\50 + b = 180\\b = 180 - 50 \\b = 130[/tex]
From the calcuations above, the value of R, a and b are 50°, 135° and 130° respectively.
#SPJ5
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translate the sentence into a equation
“The sum of 5 times a number and 8 is 9.”
Answer:
Hello lovely person! Welcome to Brainly! <3
Your answer will be 5x + 8 = 9
Step-by-step explanation:
We know that the word sum indicates addition, and this applies to the number 5. So we know that we will be adding 5 somewhere in this equation.We are also given the phrase "times a number." Times means multiply. When we are given an unknown variable ("a number") we use a letter to represent it, such as X.Now we know that the word "is" means equals, so that is where we put the = sign. Since it says "is 9" we know that it means "= 9"So we can put all of this information together to create our equation.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Find the indicated probability. A spinner has equal regions numbered 1 through 15. What is the probability that the spinner will stop on an even number or a multiple of 3?.
Answer: 2/3
Step-by-step explanation:
The numbers which are either a multple of a 3 or an even number (or both) are: 2, 3, 4, 6, 8, 9, 10, 12, 14, 15
There are 10 numbers in total which satisfy the conditions.
There are 15 total possiblities which could occur.
Therefore, the probablity is 10/15 which can be reduced to 2/3
find the volume of the two cubes
Answer:
v=lxbxh
v=5x5x5
v=125cm
volume b
v=lxbxh
v=5x5x5
v=125cm
volume A+volume B
125+125=150
Step-by-step explanation:
you find the first one first then you find the second one then you add
Answer:
First cube
[tex] = {125}^{3} [/tex]
second cube
[tex] = {125}^{3} [/tex]
125 +125=250
Step-by-step explanation:
The formulas to find the volume of a cube are:
V = s3, where s is the edge length of the cube.
[tex]v = 5 \times 5 \times 5 = {125}^{3} [/tex]
If Melissa buys of a pound of boysenberries, how much will
the berries are $3 per lb
Answer:
Well if Melissa only bought a pound of berries then it should be $3 because its $3 per pound-
find the surface area of a cube 5in height 8 in length and 6 in base pls help
if its wrong that means you didn't explain it correct tell me if its wrong and ill solve it correctly if you say what's the width, length and height the answer is down below.
Answer: 236 in²
The circumference of a circle is 20 4/35 cm.
What is the approximate diameter of the circle?
Use 22/7 for π.
Enter your answer as a mixed number in simplest form in the box.
The approximate diameter of the circle is [tex]\mathbf{ 6\dfrac{2}{5} }[/tex]
What is the circumference of the circle?The circumference of the circle typically means finding the perimeter of the circle. It refers to the equal arc length of the circle as though the circle is expanded and flattened out towards a line segment.
It can be determined by using the formula:
C = πd
where;
C = circumeference = [tex]\mathbf{20 \dfrac{4}{35}}[/tex]d = diameter = ??[tex]\mathbf{20 \dfrac{4}{35} = \pi d}[/tex]
[tex]\mathbf{\dfrac{704}{35} = \pi d}[/tex]
[tex]\mathbf{d = \dfrac{704}{35} \div \pi }[/tex]
[tex]\mathbf{d = \dfrac{704}{35} \div \dfrac{22}{7} }[/tex]
[tex]\mathbf{d = \dfrac{704}{35} \times \dfrac{7}{22} }[/tex]
[tex]\mathbf{d = \dfrac{32}{5}}[/tex]
[tex]\mathbf{d = 6\dfrac{2}{5} \ \ \ as \ a \ mixed \ number }[/tex]
Learn more about the circumference of a circle here:
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Answer:
The answer is 6 2/5.
Step-by-step explanation:
I took the test! :)
8. What is the surface area of the given figure?
28 cm
36 cm
10 cm
26 cm
Not drawn to scale
Answer:
C. 336 cm²
Step-by-step explanation:
Area formulas:
Area of a right triangle: a × b ÷ 2
Area of rectangle: length × width
-----------------------------------------------------------------------------------------------------------------
In this figure, there is a rectangle with a width of 12 and a height of 6.
; the area of the rectangle is 72 cm².
There are two right triangles with legs of 6 and 8.
There are two right triangles so..
The area of a single triangle is 24 cm²; the area of the triangles combined is 48 cm.
There is a rectangle in the middle with a width of 8 and a height of 12.
The area of the rectangle is 96 cm².
Lastly, there is a rectangle with a width of 10 and a height of 12.
The area of the rectangle is 120 cm².
Now, add the areas of every shape to find your answer.
Step-by-step explanation:
A game of "Doubles-Doubles" is played with two dice. Whenever a player rolls two dice and both die show the same number, the roll counts as a double. If a player rolls doubles, the player earns 5 points and gets another roll. If the player rolls doubles again, the player earns 5 more points. Whenever the player rolls the dice and does not roll a double, they lose points. How many points should the player lose for not rolling doubles in order to make this a fair game? Three-fifths 1 5 Three-fifths.
Using the expected value of a discrete distribution, it is found that the amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.
What is the expected value of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, considering 6 out of 6^2 = 36 outcomes are doubles, we have that the distribution is:
P(X = 5) = 1/6.
P(X = x) = 5/6.
A fair game means that the expected value is of 0, hence:
[tex]5\frac{1}{6} - \frac{5x}{6} = 0[/tex]
[tex]\frac{5x}{6} = \frac{5}{6}[/tex]
[tex]x = 1[/tex]
The amount of points the player should lose for not rolling doubles in order to make this a fair game is of 1.
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
Answer:
the player should lose 1 point for not rolling doubles
B. 1
Step-by-step explanation:
just took the test on edge 2022
i really need help with these question
Answer:
∠TVX = 49°
x = 52°
x = 57.5°
BC = 6 cm
Step-by-step explanation:
Question 1
Angle at the Centre Theorem:
∠UTV = 1/2 ∠UOV = 134 ÷ 2 = 67°
Angles around a point add up to 360°
⇒ interior angle of ∠UOV = 360 - 134 = 226°
The sum of interior angles of a non-cyclic quadrilateral is 360°
⇒ ∠OVT = 360 - 26 - 226 - 67 = 41°
As WVX is a tangent, it forms a right angle with the radius (OV)
⇒ ∠TVX = 90 - 41 = 49°
Question 2
Angles on a straight line add up to 180°
The angle between a tangent and a chord is equal to the angle in the alternate segment.
Therefore ∠x = 180 - 68 - 60 = 52°
Question 3
As CD is a tangent ⇒ OC = radius ⇒ ∠OCD = 90°
The sum of interior angles of a triangle is 180°
⇒ ∠COD = 180 - 90 - 25 = 65°
As ∠COD =∠AOB then ∠AOB = 65°
As OB and OA are radii, triangle AOB is an isosceles triangle. Therefore ∠OBA = ∠OAB
Therefore x = (180 - 65) ÷ 2 = 57.5°
Question 4
As BC is the tangent to the smaller circle, OA is perpendicular to BC.
Therefore, triangle OAB is a right triangle with hypotenuse 5 cm.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right triangle):
⇒ AB² + 4² = 5²
⇒ AB = √(5² - 4²) = 3
⇒ BC = 2 x AB = 3 x 2 = 6 cm
1. Find the product of (n - 5) and (n + 5).
n²-25
Explanation:Expand the polynomial using the FOIL method. (A handy way to remember how to multiply two binomials. It stands for "First, Outer, Inner, Last")
Answer:
n² - 25
Step-by-step explanation:
(n - 5)(n + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
n(n + 5) - 5(n + 5) ← distribute parenthesis
= n² + 5n - 5n - 25 ← collect like terms
= n² - 25
Hi please help me out
Answer:
MY= 33 (total of MW and WY)
WY= 11 (MY is median line, so WY is 1/2 of MW)
NZ= 30 (total of NW and WZ)
NW= 20 (NZ is median line, so NW is 2 times WZ)
XP= 39 (total of PW and XW)
XW= 26 (XP is median line, so XW is 2 times WP)
17. Ten students from Cordell Middle School competed in a math competition at SWOSU in Weatherford. The scores obtained by them were recorded as follows:
11, 6, 7, 13, 1, 13, 16, 7, 13, 16
What was the mean, median, and mode of their scores? Round to the nearest tenth. _________________________________________________________________
18. The Cordell Math Coach places an ad in the paper. Which measure of central tendency should she use when writing the article? Defend your answer. _________________________________________________________________
19. Jimmy had an average of 88 on his weekly mathematics tests for the first 5 weeks. What would he need to make in the 6 thweek to have an average of 90? ________________________
20. The first seven runners on the Ardmore Tiger cross country team had an average time of 14.6 minutes. To make the state meet they need an average of 13.8, what time must the last runner have for the team to qualify? ________________________
y=5x-9
y=5x+9
solve with substitution
Answer:
No solution
Step-by-step explanation:
y=5x-9
y=5x+9
5x + 9 = 5x - 9
- 9 - 9
5x = 5x - 18
- 5x - 5x
0 = 18
No solution
Hope this helps!
The numerator of a fraction is four less than the denominator. If 17 is added to each.
Answer:
x + 13 / x + 17
Step-by-step explanation:
x - 4 / x
x + 13 / x + 17
Fifty Points and Brainliest!
Answer:
22.47
Step-by-step explanation:
Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?
Answer:
Gary has $595 after shopping.
Step-by-step explanation:
350 – 95 = 255
3 units = 255
1 unit = 255 ÷ 3 = 85
7 units = 85 × 7 = 595
Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.
Answer:
y = 3/2x - 8 hope I helped
Step-by-step explanation:
To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).
2y = 3x + 10 --> almost there already, just divide everything by 2 to get y by itself.
y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2
They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.
Now we know that our slope is m = 3/2 and our point is (2, -5)
You can always find the equation of a line using the Point-Slope Formula:
y - y1 = m(x - x1) --> our x1 is 2 and our y1 is -5, and slope is 3/2
y - (-5) = 3/2(x - 2) --> Be careful when you have minus a negative number, like we do here. It becomes:
y + 5 = 3/2(x - 2) --> now distribute the 3/2
y + 5 = 3/2x - 6/2
y + 5 = 3/2x - 3 --> now we can subtract 5 from both sides to get it into slope intercept form.
y = 3/2x - 8 --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)
An alloy contains 26 % of copper. What quantity of alloy is required to get 260 g of copper?
Let the quantity of alloy required = m g
Then 26 % of m =260 g
[tex]\small\bold\green{⇒}\small\bold{\frac{(26)}{100} × m = 260 g}[/tex]
[tex]\small\bold\green{⇒}\small\bold{m = \frac{(260 × 100)}{26} g}[/tex]
[tex]\small\bold\green{⇒}\small\bold{m = \frac{26000}{26} g}[/tex]
[tex]\small\bold\green{⇒}\small\bold{m = 1000 g}[/tex]
What is a correct name for the angle shown?
Answer:
S
Step-by-step explanation:
the angle itself is s therefore the correct answer is angle s, otherwise it would be rst going left to right, but that is not an option.
Answer:
<s
Step-by-step explanation:
the angle itself is switch means the correct answer is angle s also i took the test
7. How many different 7-letter combinations can be
formed from the word GEOMETRY if repetitions are
not permitted?
A4 ore
Explanation:
There are 8 letters in the word "GEOMETRY".
Use the nPr permutation formula with n = 8 and r = 7 and you'll find that 8P7 = 40320.
Or you can compute it like this 8*7*6*5*4*3*2 = 40320
This would be the answer if we could tell the E's apart.
However, we cannot tell the E's apart, so we have to divide by 2 to correct for the double-counting.
There are 40320/2 = 20160 different seven letter combinations possible.
A rectangular lot is 75 yards wide and 120 yards long. Give the length and width of another rectangular lot that has the same perimeter but a larger area.
Answer:
119 yds and 76 yds
Step-by-step explanation:
area of 1st rect = 9000 yd^2
perimeter = 2(75+120)= 2*195=390
perimeter of 2nd rectangle = 390
l+b = 390/2= 195
the minimum l of 2nd rectangle = 119
min b of 2nd rectangle = 76
119*76 =9044
(PLEASE HELP) Find the area of the parallelogram. Found to the nearest hundredth if necessary.
Answer:
Approximately 0.64 mi^2
Step-by-step explanation:
1320 yd= 0.75 mi
1496 yd=0.85 mi
0.75*0.85= 0.6375 mi^2
= approximately 0.64 mi^2
Each pair of figures is similar. Find the missing side.
Answer:
The missing side is X=4
Step-by-step explanation:
Since the triangles are similar to eachother, they will have the same ratio.
One way to solve is dividing 8 by 2. Since 12 divided by 2 is 6,
we can expect 8 divided by 2 to be the missing side we are looking for.
Hope that helps!
Answer:
x = 4
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )
12x = 48 ( divide both sides by 12 )
x = 4
andrea buys 5 packages of erasers .each package has 3 erasers in it .how many erasers are andrea buy in all
Answer:
15
Step-by-step explanation:
1 package = 3 erasers
Therefore, 5 packages = 5 x 3 = 15 erasers
Giving out some more points here =_=
Is the following inequality true or false?
X - 5 > 9, X = 11
Marques is a waiter at a restaurant. Each day he works, Marques will make a guaranteed wage of $25, however the additional amount that Marques earns from tips depends on the number of tables he waits on that day. From past experience, Marques noticed that he will get about $14 in tips for each table he waits on. How much would Marques expect to earn in a day on which he waits on 17 tables? How much would Marques expect to make in a day when waiting on tt tables?
The amount he will get on that day = the guaranteed wage + the amount of table he waits x 14
So, Marques expect to make 25 + 14 x 17 = 25 + 238 = $263
Given the polynomial 2x3 18x2 − 18x − 162, what is the value of the constant 'k' in the factored form? 2x3 18x2 − 18x − 162 = 2(x k)(x − k)(x 9) 3 6 9 18.
The value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.
What is polynomial equation?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.
The given polynomial equation in the problem is,
[tex]2x^3 +18x^2 - 18x - 162[/tex]
The factor of the polynomial equation are given as,
[tex]2(x+ k)(x - k)(x +9)[/tex]
First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.
Take out the highest common factor 2, which can divide each term of the above equation (2, 18, -18, -162). Thus,
[tex]2(x+ k)(x - k)(x +9)=2(x^3 +9x^2 - 9x - 81)[/tex]
Take out the highest common factor to make the groups as,
[tex]2(x+ k)(x - k)(x +9)=2(x^2( x+9) - 9(x + 9))\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 9)\\2(x+ k)(x - k)(x +9)=2( x+9) (x^2 - 3^2)[/tex]
Use the property of difference of the square for the (x²-3²) term as,
[tex]2(x+ k)(x - k)(x +9)=2( x+9) (x+3)(x-3)\\2(x+ k)(x - k)(x +9)=2 (x+3)(x-3)( x+9)[/tex]
On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 3.
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calculate 177537+87439-19673
Answer:
See below.
Step-by-step explanation:
Following order of operations:
177537+87439=264976
264976-19673=245303
So, 177537+87439-19673 is equal to 245303.
-hope it helps
