Answer:
4 cm
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
let n be the length of the smaller one , then
ratio of sides = n : 10
ratio of areas = n² : 10² = n² : 100
Using proportion
( [tex]\frac{ratio}{area}[/tex] )
[tex]\frac{n^2}{24}[/tex] = [tex]\frac{100}{150}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
3n² = 48 ( divide both sides by 3 )
n² = 16 ( take the square root of both sides )
n = [tex]\sqrt{16}[/tex] = 4
length of the smaller one is 4 cm
Hi, just need help with this graph problem.
Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
1_tanA/1+tanA=cotA_1/cotA+1
Answer:
here,
L.H.S;
1-tanA / 1+tanA
=1-1/cotA / 1+1/cotA
= cotA-1/cotA / cotA+1/cotA
=cotA-1 / cotA+1
= R.H.S
proved
Answer:
if it's a math proof, i will think this is answer
Step-by-step explanation:
Please help! :)
An expression is shown below:
10n3 − 15n2 + 20xn2 − 30xn
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The completely factored expression of 5n²(2n − 3) + 10x(2n − 3) is (5n²+ 10x)(2n − 3)
Rewrite the expressionThe expression is given as:
10n³ − 15n² + 20xn² − 30xn
Factor out 5n² and 10xn in the expression
5n²(2n − 3) + 10x(2n − 3)
Factor completelyIn (a), we have:
5n²(2n − 3) + 10x(2n − 3)
Factor out 2n - 3
(5n²+ 10x)(2n − 3)
Hence, the completely factored expression of 5n²(2n − 3) + 10x(2n − 3) is (5n²+ 10x)(2n − 3)
Read more about factored expressions at:
https://brainly.com/question/22048677
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If you rolled a die, what is the probability that you would roll a 3 or a 9? Give your answer as a simplified fraction.
P(3 or 9) =
Answer: P (3 or 9) = 1/6
Step-by-step explanation:
Concept:
Here, we need to know the idea of probability.
Probability is a measure of the likelihood of an event to occur.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
The numbers on a dice: 1, 2, 3, 4, 5, 6
Total numbers = 6
Number of 3 = 1
Number of 9 = 0
P (3 or 9) = Favorable / Total (refer to the attachment below)
P (3 or 9) = (1 + 0) / (6)
P (3 or 9) = 1 / 6
Hope this helps!! :)
Please let me know if you have any questions
A taxi fare is $3 and then $0.40 for every kilometre. A taxi fare is $9 . How far has the taxi travelled?
Answer:
y = 3 + 0.40x
Step-by-step explanation:
Fixed cost of taxi fare = $3
Additional cost = $0.40
Let
y = Total cost
x = number of kilometers
The equation:
Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)
y = 3 + 0.40x
37. for the graph x= -3
please help
Answer: 0
Step-by-step explanation:
Slope of x = -3 is infinite / undefined (there is infinite/no defined change in y for a given change in x). Remember, line x = -3 slopes straight up.
Perpendicular means at a 'right angle to'.
The only kind of line that is perpendicular to a vertical line is a horizontal line, which is like y = 15 or y = 5 or something. The slope of such lines is always zero, because there is no change in line's rise for a given run.
Christian has 1/2 of a foot of tape. His friend gives him 3/10 of a foot of tape. How much tape does Christian have now?
Answer:
4/5 foot
Step-by-step explanation:
Add the lengths together
1/2 +3/10
Get a common denominator
1/2 *5/5 + 3/10
5/10 + 3/10
8/10
Simplify the fraction by dividing the top and bottom by 2
4/5
[tex]\rm \implies \: Total \: \: length \: \: of \: \: tape \: = \: \frac{1}{2} \: + \: \frac{3}{10} \\ [/tex]
Now , we take LCM of denominators.LCM of 2 and 10 is 10.[tex]\bf \large \rightarrow \: \: \frac{5 \: + \: 3}{10} \: = \: \frac{8}{10} \\ [/tex]
Now , simplifying the fraction in simplest form.
[tex]\bf \large \rightarrow \: \: \cancel\frac{8 \: \: ^{4} }{10 \: \: ^{5} } \: = \frac{4}{5} \\ [/tex]
Christian have 4/5 foot of tape have now.
Please answer I'll mark u the brialintest
1) 3 × --- = (-12)
8) 2/5 × 4 is equal to ------
Answer:
1. -4
2. 8/ 5 - 1. 6
Step-by-step explanation:
1 . 3 × -4
= (-12)
2. 2/5 × 4
= 8 / 5
= 1.6
Hope this answer helps you :)
Have a great day
Mark brainliest
The inequalities x < -5 and -X > -5 are the same.
True
False
QUESTION-:
The inequalities x < -5 and -X > -5 are the same.
True
False
ANSWER-:
FALSE
!! HOPE ITS HELP U !!
evaluate each algebraic expression for the given values if the variable
[tex](4d)( - 5d)[/tex]
d= -8
Answer:
1280
Step-by-step explanation:
4d*(-5d)=-20(d)^2, d=-8. - 20*64=1280
Find the sum of the first five terms of the G.p 2,6,8..
— 12 — бр – (-2)
HELP ASAP
Answer:
-10 - 6p
Step-by-step explanation:
-12 - 6р - (-2)
~Combine like terms
-10 - 6p
Best of Luck!
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{-12 - 6p - (-2)}\\\\\huge\text{COMBINE the LIKE TERMS}\\\huge\textsf{\underline{\underline{-12 - (-2)}} + \underline{\underline{\underline{(-6p)}}}}\\\\\\\huge\text{\underline{\underline{-12 - (-2)}}}\\\huge\textsf{= -12 + 2}\\\huge\textsf{= \bf -10}\\\\\\\huge\textsf{-6p \text{does not have any like terms so it}}\\\huge\textsf{stays the same}\\\\\\\huge\textsf{= \bf -6p - 10}\\\\\boxed{\boxed{\huge\text{Answer: \bf -6p - 10}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]
What is 3/8 of 200?
pls show work
35 POINTS!!!
Answer:
The answer is 75
Step-by-step explanation:
3/8*200=75.
Evaluate 29.4 - 33.85.(round to the hundredths place) -4.45 260.15 4.45 63.25
Can someone plz tell me what’s 9% of 41
Answer:
3.69
Step-by-step explanation:
9% of 41 is (9/100)*41=369/100=3.69
HELLLPPPPP!!!!!!!!!!!!!!!!!!
Answer:
1}6 times
Step-by-step explanation:
The highest number of president born in Virginia minus the highest number of president born in Texas2}Yes.New York and Mast has the same number of president which is four
3}Yes,this can be done using piechart.
4}I am still working on this question
Geometry, please answer question ASAP
Answer:
A
Step-by-step explanation:
The inscribed angle IJK is half the measure of its intercepted arc, so
arc IK = 2 × 75° = 150°
The 3 arcs sum to 360° , then
arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A
Answer the following questions using 125 words or more:
Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?
Link to video 2min https://media-release.glynlyon.com/g_mat08_ccss_2016/4/media/html5/anm_scale_drawing_comic_project/media/video.mp4
Answer:
given in a triangle rst and another triangle ratOn a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, ...
9 votes
PLEASE HELP URGENT!!! QUESTION IS IN PICTURE PLEASE
Angle 3 and Angle 5 are corresponding angles. Corresponding angles lie in the same relative position. As such, they are congruent.
50x - 100 = 25x + 25
25x - 100 = 25
25x = 125
x = 5
Angle 3 = 50(5) - 100 = 250 - 100 = 150
Angle 5 = 25(5) + 25 = 125 + 25 = 150
Hope this helps!
Use the equation below to find T, if w=52, m=5, and a= 3 T= w - ma
Answer:
T=37
Step-by-step explanation:
T=w-ma
=52-5×3
=52-15
=37
I can't figure this out, please help! I'll give a brainliest
Answer:
u can use pythagoras or sine rule
Step-by-step explanation:
cos-1(9/11)
decide if the first number is a factor or the second number with a yes or no.
a. 9; 74,520
b, 3; 876
james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Step-by-step explanation:
The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.
HOPE IT HELPS YOU
MARK ME BRAINLIEST
Consider the reflection of parallelogram PQRS across the line of reflection wy
Answer:
Consider the reflection of the parallelogram PQRS across the line of reflection wy if RR = 14 Then RZ= If SX=5 then = 5
Step-by-step explanation:
Which ratio represents $20 for every 4 cups of lemonade sold?
4/1 or 4,
1/5,
5/1 or 5
Answer:
5/1 or 5
Step-by-step explanation:
4 cup of lemonade is $20
then,
1 cup of lemonade is 20 ÷4 =5
Can someone help me out
Answer: V=9.4 cm^3
Step-by-step explanation:
[tex]V=\pi r^2h\\V=\pi (1)^2(3)\\V=9.4cm^3[/tex]
HELP ME PLEASE!!!! ITS DUE TODAY
Answer:
A: (draw figure 3 and on the right end add two more tiles on the top and bottom stack of tiles)
B: Figure 10 will have 20 tiles because each figure is increasing by 2 tiles.
Step-by-step explanation:
The figures are increasing by 2 so we can multiply 2 by 10 to get the number of tiles on the 10th figure.
Yeah uh I have no idea how to do this.....
Use exponent laws to simplify this :
9√(a^-5 b^2)
The answer is 9b / a^5/2 I just don't know how so please show steps! Thank you
Answer:
9b /a^5/2
Step-by-step explanation:
9√(a^-5 b^2)
9 sqrt( a^ -5 b^2)
Rewriting sqrt as ^1/2
9 ( a^ -5 b^2)^1/2
9 ( a^ -5) ^1/2 ( b^2)^1/2
we know that an exponent to an exponent means multiply
9 a^ (-5*1/2) b^(2*1/2)
9 a^-5/2 b^1
9b a^ -5/2
We know that x^-y = 1/x^y
9b /a^5/2
Answer:
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex] should be the answer of the problem that you posted
if you try to solve using [tex]\sqrt{x}[/tex] as as [tex]x^{\frac{1}{2} }[/tex]
then [tex](a^{-5)} ^{\frac{1}{2} } \\[/tex] = [tex](a^{-5/2)}[/tex] = [tex]\frac{1}{a^{\frac{5}{2} } }[/tex]
[tex]\frac{1}{a^{\frac{5}{2} } }[/tex] * 9b = [tex]\frac{9b}{a^{\frac{5}{2 } } }[/tex]
Step-by-step explanation:
[tex]9 \sqrt{(a^-5 b^2)}[/tex]
[tex]x^{-1} = \frac{1}{x}[/tex]
[tex]a^{-5} = \frac{1}{a^{5} }[/tex]
[tex]\sqrt{b^{2} } = b[/tex]
[tex]a^{4}[/tex] a's can be removed from the radicle (one will be left in because you have a^5)
[tex]\frac{9b}{a^{2} }[/tex][tex]\sqrt{\frac{1}{a} }[/tex]
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.
A 3-column table with 8 rows. The first column is labeled day 1 lap times (seconds) with entries 83, 92, 91, 89, 94, 93, 88, 84. The second column is labeled day 2 lap times (seconds) with entries 87, 90, 92, 91, 92, 95, 90, 85. The third column is labeled day 3 lap times (seconds) with entries 85, 86, 91, 93, 91, 89, 88, 84.
Which histogram represents Blanca’s lap times for the three days of practice?
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Answer:
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Step-by-step explanation:
The given table is presented as follows;
[tex]\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}[/tex]The number of laps in the range 82 to 84 seconds = 1
The number of laps in the range 84 to 86 seconds = 4
The number of laps in the range 86 to 88 seconds = 2
The number of laps in the range 88 to 90 seconds = 4
The number of laps in the range 90 to 92 seconds = 6
The number of laps in the range 92 to 94 seconds = 5
The number of laps in the range 94 to 96 seconds = 2
The number of laps in the range 96 to 98 seconds = 0
Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds
Answer: A.
Step-by-step explanation: On Edge!
Find the error in the solution, and then solve it correctly.
7x + 12 + 3x = 8
7x + 12 = 5
7x = -7
x= -7/7
We could find the error first, but if we solve the equation, we can compare our answers to find the error. So,
7x + 12 + 3x = 8
10x + 12 = 8
10x = -4
x = -4/10
x = -2/5.
When we compare the two, we see that our second line is vastly different, and we can easily isolate the mistake, finding that it occurs when they disregard the variable in the 3x term and subtract 8 by 3 rather than combining the terms 3x and 7x together.
Answer:
x=-4/10 = -2/5
Step-by-step explanation:
7x+12+3x=8
(7x+3x) =8-12
10x=-4
x=-4/10
x= -2/5
