Answer:
Figure A and B are still congruent to each other. the only change is the size of the shape.
Step-by-step explanation:
Yes, figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Suppose figure A underwent a dilation to produce figure B.
Now, A dilation is a transformation that produces an image that is the same shape as the original, but is a different size
if Dilation factor N then image Size is multiplied by N
if Scale factor < 1 then image get reduced
if scale factor > 1 then image get enlarged
scale factor = 1 lead to Same size image
Hence, Figure A and figure B similar because even though their side lengths are different, their internal angles are the same.
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Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2
Answer:
A is the answer
Step-by-step explanation:
5(2x+1)<10
10x+5<10
-5 -5
____________
10x<5
—— —-
10 10
———————-
x < 1/2
Answer:
a.x<1/2
Step-by-step explanation:
5(2x+1)<10
2x+1< 5/10
2x+1<2
2x<2−1
2x<1
x< 1/2
mark brianliest if my answer suit your question
What is the slope of the line in the graph?
Answer:
-3/2
Step-by-step explanation:
Take any two points on the line and calculate the slope using the formula
(y2-y1) / (x2-x1) and you should get your slope.
Please help with this asap, thank you !!
Answer:
The cylinder is cheaper to make because it has less surface area.
Step-by-step explanation:
In order to find the surface area of a cylinder, you do 2πrh+2πr²
We need the radius, which is half of the diameter, so then we have 2π(3·12)+2π·3² which gets us 282.72
We also need the surface area of the rectangular prism which we can get by 7x4 + 7x4 + 12x7 + 12x7 + 12x4 + 12x4 which gets us 320
282.72 < 320
The ratio of the sides of EBD to the sides of ABC is 3:4. Calculate the side lengths of ABC (Round to the nearest hundredth)
Answer:
The side lengths of triangle ABC are 6, 6.67 and 5.33
Step-by-step explanation:
In this question, we are interested in calculating the lengths of triangle ABC
ED: AC = 3:4
4.5:AC = 3:4
4.5/AC = 3/4
3AC = 4 * 4.5
3AC = 18
AC = 18/3 = 6
EB:AB = 3:4
5/AB = 3/4
3AB = 4 * 5
3AB = 20
AB = 20/3 = 6.67
DB:CB = 3/4
4/CB = 3/4
3CB = 4 * 4
CB = 16/3 = 5.33
Which of the following is the factored form of the quadratic *
12x^2+5x-2=0
1.(4x - 1)(3x - 2)
2.(4x - 1)(3x + 2)
3.(4x + 1)(3x - 2)
Answer:
2
Step-by-step explanation:
[tex]12x^2+5x-2=\\\\(4x-1)(3x+2)[/tex]
You can check this by working backwards and expanding:
[tex](4x-1)(3x+2)=\\\\12x^2-3x+8x-2=\\\\12x^2+5x-2[/tex]
Hope this helps!
The table shows three unique functions.
Which statements can be used to compare the functions?
Select two options.
1
X
4
-3
-2
-1
Only f(x) has an x-intercept.
f(x) g(x) h(x)
-19 8
0 -12 -6
-1 -7 4
-2 4 ---2
-2 4 .
Og(x) has liic yrealesi maximum.
1
All three functions have a y-intercept.
All three functions have the same range values.
All three functions have the same domain values.
Answer:
Only f(x) has an x-intercept.All three functions have the same domain values.Step-by-step explanation:
We assume that the table represents the complete definitions of the functions of interest.
An x-intercept is a point where the y-value is 0. Only f(x) includes such a point: (-3, 0).
A y-intercept is a point where the x-value is 0. x=0 is not part of the domain of any of these functions, so there are no y-intercepts.
The maximum values of these functions are ...
f(x): 1g(x): -4h(x): 2so h(x) has the greatest maximum value.
The range of each function is the list of its table values. No two functions have the same range.
The domain of each function is the set of x-values for which it is defined. All of these functions have the same domain. That is, they are all defined for all of the x-values listed.
Of the descriptors offered, the two that apply are ...
Only f(x) has an x-intercept.All three functions have the same domain values.Answer:
A and E
Step-by-step explanation:
Angle measure and segment lengths: Find "Y" and do not round your answer. Please answer in under five minutes, thanks!
Answer:
y = 11.2 in.
Step-by-step explanation:
To solve this question we will use the theorem of intersecting secants and tangents.
"If a secant and a tangent are drawn to a circle from an external point then length of tangent is the geometric mean between the length of external segment of the secant and the length of the secant."
By this theorem,
5(5 + y) = (9)²
y + 5 = [tex]\frac{81}{5}[/tex]
y = 16.2 - 5
y = 11.2 in
Therefore, y = 11.2 in. will be the answer.
Answer:
11.2
Step-by-step explanation:
i got it right online
electricity has two different rates off peak is 10pm to 6am and charged at 8p per hour. peak is 6am to 10pm and is charged at 12p per hour. alison turns uses electricity from 8pm to 11:30 pm. what is the dost of her electricity for that period
Answer:
32p
Step-by-step explanation:
Times between 8pm and 11.30 are:
8pm,9pm,10pm,11pm,11.30pm
Costs for associated times:
8pm: 12p
9pm: 12p
10pm : 12p
11pm: 8p
11.30 pm: 4p
Total/sum = 32p
Answer:
32P
Step-by-step explanation:
Claire is on a business trip. She’ll be traveling from Liverpool, England, to Melbourne, Australia. The latitude value of Liverpool is 53.41 degrees, and the longitude value is -2.99 degrees. The latitude value of Melbourne is -37.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Answer:
The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south
The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East
Step-by-step explanation:
The parameters given are;
The latitude of Liverpool is 53.41°
The longitude of Liverpool is -2.99°
The latitude of Melbourne is -37.81°
The longitude of Melbourne is 144.96°
The change in latitude from Liverpool to Melbourne = Δφ
Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south
The change in longitude from Liverpool to Melbourne = Δλ
Δλ = -2.99° - 144.96° = -147.95°
Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.
Answer:
the difference in latitude is 91.22°
the difference in longitude is 147.95°
Explanation:
For Liverpool, London. The latitude is 53.41°, longitude is -2.99°
For Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°
The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).
The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)
the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°
the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
please can you guy help for this questiong
Answer:
Reason 1. Given
Statement 2. <CAD is congruent to <BAD
Reason 2. Definition of angle bisector
Statement 3. Segment AD is congruent to segment AD
Reason 4. All right angles are congruent
Reason 5. ASA
the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?
Answer:
x = 105 km
Step-by-step explanation:
We can use ratios to solve
1 cm 15 cm
------------ = ------------
7 km x km
Using cross products
1 * x = 7 * 15
x = 105 km
Answer:
[tex]105km[/tex]
c
Step-by-step explanation:
[tex]1cm = > 7km \\ 1cm = > 700000[/tex]
[tex]1 : 70000[/tex]
[tex]1cm = > 700000cm \\ 15cm = > x[/tex]
[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]
Use cross multiply
[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]
so,
[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]
[tex]15cm = 10,500m \\ 15cm = 105km[/tex]
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The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Jackson and Symphony stations.Write your answer to the nearest tenth of a mile.
Answer:
Distance between Jackson and Symphony stations is 2.2 miles.
Step-by-step explanation:
From the given map,
Location of two stations can be represented by the ordered pairs Jackson(2, 4) and Symphony(1, 2)
Every unit of the map represents the distance of 1 mile.
Distance between two points is measured by the formula,
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Therefore, distance between the given stations will be,
d = [tex]\sqrt{(2-1)^2+(4-2)^2}[/tex]
= [tex]\sqrt{1+4}[/tex]
= [tex]\sqrt{5}[/tex]
= 2.236
≈ 2.2 miles
Distance between Jackson and Symphony stations is 2.2 miles.
II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years
Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
All trapezoids are parallelograms.
A. True
B. False
Answer:
True
parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .
No, All trapezoids are not parallelograms.
We know that,
Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.
Hence, By definition of trapezoids,
All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.
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A candy company provides samples of fudge and truffles to their store visitors. The manager authorized the store to distribute up to 50 pieces of candy. The store expects to give away at least 20 pieces of fudge and at least 15 truffles
Answer:
hdhufhduh
Step-by-step explanation:
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many more girls than boys are there?
Answer:
There are 8 more girls
Step-by-step explanation:
If you divide 32 by 8 (since the ratio is 3:5 which is 8 parts (3+5)). You get 4.
Thus, there are 12 boys and 20 because 3*4 is 12 and 5*4 is 20. 12+20 is 32.
Please help! Correct answer only!
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?
Write your answer as a decimal rounded to four decimal places.
Answer:
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
Step-by-step explanation:
Step(i):-
Given students created 19 clay objects, 12 of which were vases
probability of successes
[tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]
q = 1 - p = 1 - 0.6315 = 0.3685
Step(ii):-
Given n = 16
Let 'X' be the random variable in binomial distribution
[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]
The probability that exactly 11 of the chosen clay objects are vases
[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]
we will use formula
[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]
[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]
[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]
[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]
P(X = 11 ) = 0.16472
Conclusion:-
The probability that exactly 11 of the chosen clay objects are vases
P(X = 11 ) = 0.16472
Given f(x) = 3/4x + 12, find the value of x when f(x) = x.
Answer:
48 =x
Step-by-step explanation:
3/4x + 12 = x
Subtract 3/4 x from each side
3/4x + 12-3/4x = x-3/4x
12 = 1/4x
Multiply each side by 4
12*4 =1/4x *4
48 =x
Answer:
x=48
Step-by-step explanation:
f(x) is basically just another way to write y.
If f(x)=x, then y=x.
x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)
1/4x=12 (Subtract 3/4 from both sides of the linear equation)
x=48 (Multiply both sides by 4)
A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour
Answer:
Bison, by 10 mph
Step-by-step explanation:
Convert ft/min to mi/hr.
3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr
The bison is faster than the deer by 10 mph.
A college's lacrosse team will play 23 games next spring. Each game can result in one of 2 outcomes a win or a loss. Find the total
pos ble number of outcomes for the season record
Answer: 529 possible outcomes
Step-by-step explanation:
You square the number of games as many times as the outcomes (win or loss)
2 outcomes = 23 * 23
23 * 23 = 529
Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.
B^7 divided b^4 simplified
Answer:
[tex] = {b}^{3} [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \frac{ {b}^{7} }{ {b}^{4} } \\ = {b}^{7 - 4} \\ = {b}^{3} [/tex]
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how many speak spanish only?
how many does not speak any if the languages?
Answer:
52 people
Step-by-step explanation:
Which of the following is a rational number but NOT an integer?
a. √2
b. -2
c. 2
d. 1/2
d. is a rational number.
Because it shows halfs and and halfs is a ratio.
And it shows this symbol (/)
Answer:
The answer is D.
Step-by-step explanation:
Rational number is a number that can be written in the form of fraction, a/b .
Integer is a positive or negative number.
Which operation means "split evenly"?
addition
subtraction
multiplication
division
Answer:
Division
Step-by-step explanation:
Answer:
division
Step-by-step explanation:
when you divide you split into even groups
Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.
If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?
Write your answer as a decimal rounded to four decimal places.
Answer:
Probability ≈ 0.0714
Step-by-step explanation:
Consider permutation and combination;
[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]
Wyatt wants to study the relationship between the number of siblings that a student has and the student's grade-point
average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two
variables. Which scatterplot proves that Wyatt's statement is not always true?
Number of Siblings vs. Grade-Point Average
Answer:
the answer is D
Step-by-step explanation:
Because of how the students grade ar goung not down but up were the y or x
The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.
When does a straight line show a relationship between variables?The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.
If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.
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The rectangle has rotational symmetry of order
The rectangle's rotational symmetry occurs for angles of
degrees
Answer:
2
180 and 360
Step-by-step explanation:
We conclude that the angle of rotational symmetry is 180°.
How to get the angles of rotational symmetry for a rectangle?
For any regular shape that has internal angles measuring θ, the angles of rotational symmetry of that figure are:
A = n*θ
Where n is an integer number (different than zero, because that is the trivial case).
For the case of the rectangle not all the sides measure the same thing, we have internal angles of 90° and opposite sides measure the same.
So we only have rotational symmetry for each two internal angles (2*90° = 180°).
So we conclude that the angle of rotational symmetry is 180°.
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Using the following image, solve for x x .
Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
Which model represents a fraction greater than Three-fifths? A circle divided into 5 equal parts. One part is shaded. A circle divided into 10 equal parts. 5 parts are shaded. A circle divided into 6 equal parts. 2 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer: A circle divided into 10 equal parts with 8 parts shaded
Step-by-step explanation:
Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.
A circle divided into 5 parts with 1 part shaded = 1/5
A circle divided into 10 parts with 5 parts shaded = 5/10
A circle divided into 6 parts with 2 parts shaded = 1/3
A circle divided into 10 parts with 8 parts shaded = 8/10
Okay so looking at this we can see that they don't have a common denominator so lets fix that
1/5 = 6/30
5/10 = 15/30
1/3 = 10/30
8/10 = 24/30
3/5 = 18/30
Now lets find which one is greater than 3/5
Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.
Answer: B for short
Step-by-step explanation:
All credit to the person above me! <3