The similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
Part 1:
Volume of larger solid = (512) cubic cm
Volume of small solid = 2197 cubic cm
Ratio of the volumes = 512/2197
Taking cube root:
Similarity ratio = 8/13
Part 2:
Similarity ratio by taking the cube root of each volume = 8/13
Taking the square of the above ratio:
= 64/169
Part 3:
64/169 = 960/SA(larger)
SA(larger) = 2535 square cm
Thus, the similarity ratio by taking the cube root of each volume is 8/13, ratio of the surface areas is 64/169, and surface area of the larger solid is 2535 square cm.
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I will give brainliest! 40 points!
ling wants to determine the average distance she travels each day in her car. she records the odometer reading, which measures the distance the car has traveled, each morning for a week.
day 1 2 3 4 5 6 7
odometer (mi) 10,150 10,211 10,424 10,769 10,884 11,155 11,477
what is the mean distance ling travels each day? show your work.
Answer:
221.16
Step-by-step explanation:
Find the difference between each day. Add all the differences together, then divide that number by 6 (the number of differences) to find the mean.
Answer:
189.57 miles per day.
Step-by-step explanation:
I took the test
lmk if u can figured it out
Answer:
see explanation
Step-by-step explanation:
since the triangles are congruent , then corresponding sides and angles are congruent.
(1)
Δ HIJ ≅ Δ LMN
sides angles
--------- -----------
HI ≅ LM ∠ H ≅ ∠ L
HJ ≅ LN ∠ I ≅ ∠ M
IJ ≅ MN ∠ J ≅ ∠ N
(2)
Δ XYZ ≅ Δ JKL
sides angles
-------- ------------
XY ≅ JK ∠ X ≅ ∠ J
XZ ≅ JL ∠ Y ≅ ∠ K
YZ ≅ KL ∠ Z ≅ ∠ L
Answer:
1. ΔHIJ ≅ ΔLMN
sides: HI ≅ LM, IJ ≅ MN, HJ ≅ LN.angles: ∠H ≅ ∠L, ∠I ≅∠M, ∠J ≅∠N.2. ΔXYZ ≅ ΔJKL
sides: XY ≅ JK, YZ ≅ KL, XZ ≅ JL.angles: ∠X ≅ ∠J, ∠Y ≅∠K, ∠Z ≅∠L.Step-by-step explanation:
I believe it's asking to list the corresponding sides and pairs of angles in the congruent triangles.
Look at the order of the letters HIJ and LMN. There are 3 letters, which represent 3 sides and 3 angles. The first, second, and third letters of the first triangle correspond to the first, second, and third letters of the second triangle.
1. ΔHIJ ≅ ΔLMN
sides: HI ≅ LM, IJ ≅ MN, HJ ≅ LN.angles: ∠H ≅ ∠L, ∠I ≅∠M, ∠J ≅∠N. (these can also be written as ∠HIJ ≅ ∠LMN, ∠HJI ≅ ∠LNM, ∠IHJ ≅ ∠MLN... but it depends on what the instructor wants really).2. ΔXYZ ≅ ΔJKL
sides: XY ≅ JK, YZ ≅ KL, XZ ≅ JL.angles: ∠X ≅ ∠J, ∠Y ≅∠K, ∠Z ≅∠L.Please Help! The value of x is:
Answer:
9
Step-by-step explanation:
5*x=15
X=3
3*3=9
[tex]\\ \rm\dashrightarrow \dfrac{5}{3}=\dfrac{15}{x}[/tex]
[tex]\\ \rm\dashrightarrow 5x=45[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{45}{5}[/tex]
[tex]\\ \rm\dashrightarrow x=9[/tex}
brainiestI WILL GIVE BRAINLIEST look at the right angled triangle abc
the square fits exactly inside the triangle
work out the sizes of angles x y and z
Answer:
x = 90°
y = 40°
z = 40°
Explanation (Concepts) :
A straight line has total 180° angle. A square has 4 sides of each 90° angle. A triangle is build up of 180° interior angle.
Workouts:
z + 90° + 50° = 180°
z = 180° - 90° - 50°
z = 40°
=================
x + 90° = 180°
x = 180° - 90°
x = 90°
==================
50° + 90° + y = 180°
y = 180° - 90° - 50°
y = 40°
Answer:
x = 90°y = 40°z = 40°Step-by-step explanation:
x = 90°
…………………
y = 90 - 50
= 40°
……………………………
z = 180 - (50 + 90)
= 180 - 140
= 40°
Please help
Which equation represents a line with an undefined slope?
Answer:
x = 0
Step-by-step explanation:
The slope relation is given as :
y = mx + b
Now, if we take x = 0, there is no way of finding out the value of m as the product of mx will be equal to 0.
Hence, x = 0 represents a line with undefined slope.
Use the low of Cosines to solve the given triangle. Round your answer to two decimal places. a = 51, b = 21, c = 68
Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Cosine rule is given as:
a² = b² + c² - 2bc * cosA
Given that a = 51, b = 21, c = 68, hence:
51² = 21² + 68² - 2(21)(68) * cosA
A = 30.37°
21² = 51² + 68² - 2(51)(68) * cosB
B = 12.02°
68² = 21² + 51² - 2(21)(51) * cosC
C = 137.61°
Using the cosine rule, the measure of the triangles is a = 51, b = 21, c = 68, A = 30.37°, B = 12.02° and C = 137.61°
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Line segment pr is a directed line segment beginning at p(-10,7) and ending at r(8,-5). find point q on the line segment pr that partitions it into the segments pq and qr in the ratio 4:5.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ P(-10,7)\qquad R(8,-5)\qquad \qquad \stackrel{\textit{ratio from P to R}}{4:5} \\\\\\ \cfrac{P\underline{Q}}{\underline{Q} R} = \cfrac{4}{5}\implies \cfrac{P}{R} = \cfrac{4}{5}\implies 5P=4R\implies 5(-10,7)=4(8,-5)[/tex]
[tex](\stackrel{x}{-50}~~,~~ \stackrel{y}{35})=(\stackrel{x}{32}~~,~~ \stackrel{y}{-20})\implies Q=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-50 +32}}{4+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{35 -20}}{4+5} \right)} \\\\\\ Q=\left( \cfrac{-18}{9}~~,~~\cfrac{15}{9} \right)\implies Q=\left( -2~~,~~\cfrac{5}{3} \right)[/tex]
x² + 8x = 10 solve this quadratic equation by completing the square
A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. Grace wins if she selects a turquoise marble from the jar. Is this game fair? Why or why not?
Yes, the game is fair because Grace has equal probabilities of winning and losing.
Yes, the game is fair because Grace has equal probabilities of choosing a marble of either color.
No, the game is not fair because Grace has equal probabilities of winning and losing.
No, the game is not fair because Grace has a higher probability of choosing a marble of another color.
I need help with area
The question 5 and 6
4. Factor:
j) x(x+2) + y (x + 2) - 5(x + 2)
k) 5y2 - 10y3
l) ax + ay + az
5. Factor:
m) yx(y+1) + 4x(y + 1) - 5(y + 1)
n) 6p2 - 3p3
o) 4x4 + 2x
The results of factoring are presented below for each algebraic expression.
x(x-3)+y(x+2)-105y²(1-2y)a(x+y+z)y(xy +5x-5)-13p²(2-p)[tex]2x(2x^3+1)[/tex]FactoringIn math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: y²-y= y(y-1), where y is a common term.
You should apply the factor out a common term for solving the question.
Exercise 4 - letter jx(x+2) + y (x + 2) - 5(x + 2)
x²+2x+xy+2y-5x-10
x²-3x+xy+2y-10
x(x-3)+y(x+2)-10
Exercise 4 - letter k[tex]5y^2 - 10y^3[/tex]
5y²(1-2y)
Exercise 4 - letter lax+ay+az
a(x+y+z)
Exercise 5 - letter myx(y+1) + 4x(y + 1) - 5(y + 1)
xy²+xy+4xy+4-5y-5
xy²+5xy-1-5y
y(xy +5x-5)-1
Exercise 5 - letter n[tex]6p^2 - 3p^3[/tex]
3p²(2-p)
Exercise 5 - letter o[tex]4x^4 + 2x[/tex]
[tex]2x(2x^3+1)[/tex]
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Joshua has a ladder that is 15 feet long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 14.2 feet above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 78 degrees. Will the ladder be safe at this height? Show your work and label the diagram
Answer:
Step-by-step explanation:
answer the question below, will give brainliest to first answer
Answer:
deductive reasoning
Step-by-step explanation:
it is based on what is true based on what happened before
Answer:
2 option, deductive reasoning
Step-by-step explanation:
based on true events
Two socks are selected at random from a draw of loose socks- there are 4 green socks and 6 yellow socks
What is the probability that two of the socks will both be green if the socks are drawn without replacement
Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.In this problem, we have that the values of the parameters are:
N = 10, k = 4, n = 2.
The probability that both are green is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333[/tex]
0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.
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A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. which constraint could be part of the scenario? the pool is 1 meter deep. the pool is 2 meters deep. the toy falls at a rate of at least a negative one-half meter per second. the toy sinks at a rate of no more than a negative one-half meter per second.
The answer choices which could be a constraint to the scenario are;
the pool is 1 meter deep.the pool is 2 meter deep.Which constraint could be part of the scenario?It follows from the task content that the scenario is modelled by means of a system of inequalities. However, only the variables in the model can be constrained and hence, only time and depth factors could be part of the constraints.
On this note, the constraints area as indicated above.
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Answer:
A
Step-by-step explanation:
A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario?
The pool is 1 meter deep.
The pool is 2 meters deep.
The toy falls at a rate of at least a Negative one-half meter per second.
The toy sinks at a rate of no more than a Negative one-half meter per second.
Can someone help with number 4. I will reward brainliest.
Answer:
theta = pi/6 and
theta = 5pi/6
Step-by-step explanation:
see image. Factor the expression. Solve for sin theta. Then use a calculator or unit circle to solve for theta. See image.
Let's simplify the problem down a little:
⇒ set 'sin(θ)' as x
⇒ the new equation looks like: [tex]2x^2+5x-3=0[/tex]
Now let's solve this equation as a quadratic:
[tex]2x^2+5x-3=0\\(2x-1)(x+3)=0\\\\2x-1=0\\x = \frac{1}{2} \\\\x+3 = 0\\x=-3[/tex]
Now set the x value of '1/2', to sin(θ)
it can't be -3, because trig functions can't equal a negative numbersin(θ) = 1/2
θ = π/6, which is between the range given
Answer: π/6
Hope that helps!
Soon-yi’s house has a hexagonal window made up of six identical equilateral triangles as pictured below. a triangular section has a height of 14 inches and a base of 16 inches. which expression is equivalent to the area of one triangular section? one-half times 7 times 8 one-half times 14 times 16 one-sixth times 14 times 16 one-half times 7 times 7
Answer:
16*14*1/2
Step-by-step explanation:
The area of a triangle can be found in 1/2bh.
Therefore, 16 is our base, and 14 is our height.
16*14*1/2 should be your answer, from the choices that I see.
Answer:
[tex]\frac{1}{2} *14*16[/tex]
Correct Answer 100%. Pls. give me brainliest. Thank You.
HELP ME PLEASE ON MATHEMATICS!!
Answer:
1)526 kw
2)1943 m³
3) 33
4) 43 m³
5) 5010 kw
Step-by-step explanation:
1) 7675-7149= 526
2) 462+ 1481= 1943
3) 168-135 = 33
4) 1499 -l456= 43
5) 4945+65= 5010
What is the sign of m/n X (-m X n squared )
positive
Negative
zero
Step-by-step explanation:
mx=n
⟹x=mn
Since m and n are both negative, x=mn will be positive.
Hence, the solution of mx=n will be a positive number.
other sulotion :-
These box plots show the basketball scores for two teams.
Which statement is the most appropriate comparison of the spreads?
The most appropriate statement is the interquartile range for the Wolverines, 30 is less than the IQR for the panthers, 40.
What is the correct statement?
The box plot is used to show the distribution of data. The box plot can be used to determine the range, interquartile range and median of the data set.
The range is the difference between the two ends of the whiskers.
Range for the Wolverines = 96 - 35 = 61
Range for the Panthers = 107 - 33 = 74
The interquartile range is the difference between the first and third lines on the box
IQR for the Wolverines = 85 - 55 = 30
Range for the Panthers = 90 - 50 = 40
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You buy vegan ricotta cheese in 5 lb containers. One batch of ravioli requires 24 ounces of vegan ricotta cheese. How many batches can be made with one container
Answer:
3
Step-by-step explanation:
there are 16 ounces in a pound
so that means that 5 pounds (lbs) equals 80 ounces, you find this out by multiplying 16 and 5.
to find out how many batches are in a 5lb container then you just divide 80 and 24 which equals... 3.333333 but you just need to round it.
If the slope of the line that goes through the points (2, 7) and (5, a) is -3, what is the value of a?
Answer:
a = -2
Step-by-step explanation:
I graphed the given point (2,7) and then I used that point and plugged the point and the slope into the point-slope formula, which is (y-y₁)=m(x-x₁). Then, I just looked for where x=5 on the line and it was -2
Find the LCM of 3, 7, 10
no solution, one solution, or infinitely many solutions?
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
When does an equation have one solution, no solution or infinitely many solutions?A linear equation is said to have infinitely many solution when the variable term and the constant term are the same on both sides of the equation.
A linear equation is said to have no solution, if the coefficient of the variable term is zero and the constant term a non-zero term
A linear equation is said to have one solution if the coefficient of both the constant term and the variable terms are no zero.
Analysis:
8v + 3 -4v = 4v + 5-2
4v +3 = 4v+3
The equation has an infinitely many solutions
7v-11 = 7v+11
7v-7v = 11+11
0v = 22
The equation has no solution since the coefficient of the variable term is 0
3(v-4) = 2(v-6)
3v -12 = 2v - 12
v = 12-12 = 0
The equation has one solution
5(2v+3) -2 = 12v + 12-2v
10v+15-2 = 10v +12
0v = -1
The equation has no solution.
In conclusion,
8v + 3 -4v = 4v + 5 -3 has infinitely many solutions
7v - 11 = 7v + 11 has no solution
3(v-4) = 2(v-6) has one solution
5(2v+3) - 2 = 12v + 12 -2v has no solution
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What is the mean, median, and mode for this set of data:24, 20, 26, 24, 21?
Answer:
Mean = 23
Median = 24
Mode = 24
Step-by-step explanation:
Mean: The sum of all data values divided by the total number of data values.
⇒ Mean = (24 + 20 + 26 + 24 + 21) ÷ 5 = 23
Median: The middle value when all data values are placed in order of size.
Ordered data values: 20, 21, 24, 24, 26
⇒ Median = 24
Mode: The most frequently occurring data value.
20, 21, 24, 24, 26
⇒ Mode = 24
What is the effect on the graph of f(x) = x² when it is transformed to
h(x) = 2x2 +15?
OA. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units up.
OB. The graph of f(x) is horizontally stretched by a factor of 2 and
shifted 15 units up.
OC. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units to the left.
D. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
Answer:
A
Step-by-step explanation:
h(x) = 2x² + 15 = 2×f(x) + 15
so, every y value of f(x) is multiplied by 2, and that means the whole curve is stretched up and down (vertically).
and then we add constantly 15 to every y value. that moves then the previous stretched result up by 15 units.
The number of guppies in an aquarium is doubling every day. there are 4 guppies initially in the aquarium. a) write an exponential function for the guppy population in the aquarium. b) how many guppies are in the aquarium after 4 days
if the guppies are doubling, that means whatever they were yesterday, today is 100% more, so the rate of growth is 100%.
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=4(1 + 1.)^{t}\implies A=4(2)^t~\hfill \stackrel{\textit{after 4 days, t = 4}}{A=4(2)^4}\implies A=64[/tex]
Factorize -3x^3 + 12x^2 - 15x + 6
With the steps please
[tex]-3x^3 +12x^2 -15x +6\\\\=-3(x^3 -4x^2 +5x-2)\\\\=-3(x^3 -2x^2-2x^2 +4x+x-2)\\\\=-3\textbf{[} x^2(x-2) -2x(x-2)+ (x-2)\textbf{]}\\\\=-3(x-2)(x^2 -2x +1)\\\\=-3(x-2)(x-1)^2[/tex]
Find the length of the segment AB.
Yesterday a car rental agency rented 4 vehicles, of which 2 were pickup trucks. what is the experimental probability that the first vehicle rented today will be a pickup truck?
Using it's concept, it is found that the experimental probability that the first vehicle rented today will be a pickup truck is of 0.5 = 50%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, we have that out of 4 vehicles, 2 are pickup trucks, hence the experimental probability is given by:
p = 2/4 = 1/2 = 0.5.
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