Answer:
Choice C
Step-by-step explanation:
This is like a matching question. Here's what I mean by this. We know Triangle BCA and Triange JKL are congruent. So, what we have to do is match the side lengths together.
So the first side of BCA matches with JKL, the second side of BCA matches with JKL, the third side of BCA matches with JKL.
So first side:
BC is congruent to JK
So second side:
CA is congruent to KL
So third side:
JL is congruent to BA
The third side is one of our answer choices.
That answer choice is C.
Answer:
c
Step-by-step explanation:
Find the nth term of this number sequence
2, 4, 6, 8, ...
Answer:
As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:
1st term: 2 = 2(1)
2nd term: 4 = 2(2)
3rd term: 6 = 2(3)
4th term: 8 = 2(4)
Additional terms:
5th term: 10 = 2(5)
6th term: 12 = 2(6)
7th term: 14 = 2(7)
8th term: 16 = 2(8)
Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.
Notice that we add 2 to each term in order to get to the next term.
Since we use addition, we have an arithmetic sequence.
Hence, the nth term is:-
n+2
Hope it helps!
Any queries - comment !
I wasn't sure if it was 180 so I decided to post it
Answer:
25
Step-by-step explanation:
These angles are supplementary, or add up to = 180 degrees:
(2x + 10) + (4x + 20) = 180
6x + 30 = 180
6x = 150
x = 25
Let's check our work:
2(25) + 10 = 60
4(25) + 20 = 120
60 + 120 = 180 degrees :)
Good luck!
Answer:
x = 25
Step-by-step explanation:
[tex](2x+10)+(4x+20)=180^{o}[/tex]
[tex]6x+30=180[/tex]
[tex]6x=180-30[/tex]
[tex]6x=150[/tex]
[tex]x=150/6[/tex]
[tex]x=25[/tex]
Hope this helps
Three tennis balls are stored in a cylindrical can with
a height of 8 inches and a radius of 2 inches. Each
tennis ball has a radius of 1 inch. What is the
amount of volume not taken up by the tennis balls
in the can? Use 3.14 for n. Round your answer to the
nearest tenth.
4 in
Answer:
87.9 in³
Step-by-step explanation:
Volume of the can
V = πr²h [volume of a cylinder]V = 3.14 x 2 x 2 x 8V = 3.14 x 32V = 100.48 in³Volume of 3 tennis balls
V = 4/3πr³ [volume of one sphere]V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]V = 4 x 3.14V = 12.56 in³Remaining space
Volume of can - Volume occupied by 3 tennis balls100.48 - 12.5687.92 in³ ⇒ 87.9 in³3. What is the angle of rotation for the following figure?
45°
60°
90°
120°
Answer:
45°
360÷8= 45
Mark me brainliest.
Mrs. Evans gave her class a 100-page reading assignment. After 2 days, Kya and
Chase each have 64 pages left to read.
Each student writes a function f(t) to model the pages left to read, where t is the
number of days since the assignment was given.
Kya writes an exponential function that fits the data.
Chase writes a linear function that fits the data.
Drag equations to the table to show the functions they wrote
Answer:
kya- y= 100·(0.8)^t
chase= 100-18t
Step-by-step explanation:
I did the work on imagine math
The exponential function that fits the data is y= 100·(0.8)^t
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
We are given that Mrs. Evans gave her class a 100-page reading assignment.
Since 2 days, Kya and Chase each have 64 pages left to read.
Each student writes a function f(t) to model the pages left to read, where t is the number of days since the assignment was given.
Kya writes an exponential function that fits the data as;
y= 100·(0.8)^t
Chase writes a linear function that fits the data as;
chase= 100-18t
Learn more about function here:
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Find the MEDIAN of his test scores.
Last semester, Mike got the following classwork grades in Math.
45, 54, 72, 89, 100, 26, 34, 100 , 92, 85, 76
Answer:
76
Step-by-step explanation:
The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
If f(x) = x3 + 12x2 +41x + 30 and f(-6) = 0, then find all of the zeros of
f(x) algebraically.
Answer:
-6, -5, -1
Step-by-step explanation:
Based on the question, (x+6) is a factor of f(x).
With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.
You'll get x²+6x+5 as a result.
Factorise it and you'll get
x²+6x+5 = (x+1)(x+5)
Then let (x+1)(x+5) = 0, x = -1, -5
Zero's of f(x) are -6, -5 -1
[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]
Lana does yard work. The information below shows the approximate time for each job:
Mow small lawn - 1/2hr
Mow large lawn - 3/4hr
Tidy yard - 1 1/2hr
Plant annuals - 2 1/2hrs
For one Saturday, Lana needs to mow 3 small lawns, mow 1 large lawn, tidy 2 yards, and plant annuals once. She needs travel time between jobs, and a break for lunch. Do you think she will be able to complete all of the jobs in one day? Justify your answer.
Answer:
No, not enough timeStep-by-step explanation:
Time to complete each of jobs
1/2 * 3 = 1 1/2 hrs3/4 * 1 = 3/4 hr1 1/2 * 2 = 3 hrs2 1/2 * 1 = 2 1/2 hrsTotal time at job
1 1/2 + 3/4 + 3 + 2 1/2 = 7 3/4 hrsIf the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.
This time is not sufficient so she can't complete all the jobs.
Answer:
No (see explanation below)
Step-by-step explanation:
Approximate times to carry out each job:
Mow small lawn = 1/2 hrMow large lawn = 3/4 hrTidy yard = 1 1/2 hrPlant annuals = 2 1/2 hrsFor one Saturday, Lana needs to:
mow 3 small lawnsmow 1 large lawntidy 2 yardsplant annuals onceTherefore, the total time for the jobs is:
[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]
The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch. A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.
why is it that when i caulate 1225*3.14 it equals 3846 but if i have the pie symbol instead of the 3.14 it turns out to be different 1225*π=3848
Answer:
[tex]\pi[/tex] is infinite. 3.14 only has three numbers.
Step-by-step explanation:
so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers
Answer:
See below ↓
Step-by-step explanation:
When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.
1225 x 3.14 = 3846.51225 x π = 3848.451Is -6,-3 a solution to 2x-9y=15
Answer: Yes
Step-by-step explanation:
Assuming that (-6, -3) is a coordinate, you just plug in the x and y values. When doing this you multiply 2 * - 6 and add that to -9 * -3This gives you -12 + 27 = 15This gives you 15 = 1515 is equal to 15 therefore, this is a solution to the problem.I hope this makes sense! : )
Solve for the area of the shape below. Don't forget
your units!!
13 in
9in
7in
18in
Area:
Answer:
63in^2
Step-by-step explanation:
base=18in
height=7in
Area=b*h*1/2
=18*7*1/2
=63in^2
Paul is moving to Australia. The total weight of his 4 suitcases is shown
on the scale to the right. On a number line, round the total weight to the
nearest 100 kilograms.
(this is 3rd grade math btw)
Answer:
100
Step-by-step explanation:
Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.
what is the area in the square units of the trapezoid below someone pls
help
Answer:
= 185 units²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases and b₁, b₂ the bases
here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then
A = [tex]\frac{1}{2}[/tex] × 10 × (22 + 15) = 5 × 37 = 185 units²
Solve for x (literal equations)
C=b-bx
Answer:
X= (-c+b)÷b
or
X= -b×(c-b)
Step-by-step explanation:
C=b-bx
b-bx=c
-bx= c-b
-x=(c-b)÷b
x= -(c-b)÷b
or
-x= b×(c-b)
x= -b×(c-b)
The radius of circle a is 6 in. the radius of circle b is 5 in. greater than the radius of circle a. the radius of circle c is 5 in. greater than the radius of circle b. the radius of circle d is 2 in. less than the radius of circle c. what is the area of each circle? how many times greater than the area of circle a is the area of circle d?
Answer:
Step-by-step explanation:
If y = -5 when x = 2, find y when x = 8.
Answer:
Y= -20
Step-by-step explanation:
if y=-5 when x=2 find y when x=8
8 /2 = 4
=> x = 2 * 4 => x = 8 Answer
y = -5 * 4 =>
y= -20
You want to reduce your daily calorie consumption by about 9%. You currently consume about 2100 calories per day. Use mental math to estimate the number of calories you should consume in one week to meet your goal.
Answer:
13,377 in one week
Step-by-step explanation:
2100*0.09=189
2100-189=1911
1911*7=13,377
~hope this helps~
To meet your goal, you should consume 13377 calories in one week.
What is a percentage?Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.
Given,
you currently consume about 2100 calories per day.
You want to reduce your daily calorie consumption by about 9%.
That means,
9% of 2100
= 9 x 2100 / 100
= 189 calories
To find the number of calories you should consume in one week to meet your goal:
Multiply by 7 to reduced consumption in one day.
7 x 189
= 1323 calories.
Now, subtraction;
One week of consumption - reduced consumption
= (2100 x 7) - 1323
= 13377
Therefore, in one week you should consume 13377 calories.
To learn more about the percentage;
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probabiltity of 8 and 23
Answer:
huh
Step-by-step explanation:
PLEASE HELP!!!! 20 POINTSSSS!!!!!!!!!!
I WOULD MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
a=b sinα
sinβ=5·sin(22°)
sin(119°)≈2.14154
a=b sinα
sinβ=12·sin(48°)
sin(42°)≈13.32735
Step-by-step explanation:
I think this is correct but i am most likely wrong, Im not that great at math
Answer:
( SOLVE FOR h )
Step-by-step explanation:
THE FORMULA:
a = b [tex]\frac{sin A}{sin B}[/tex]
---------
b = 12
sin a = 48
sin B = 42
--------
12 × [tex]\frac{sin 48}{sin 42}[/tex]
ANSWER =
h = 13.33
----------------------------------------
SOLVE FOR x AND y
I'M NOT SURE.......
x = 2.14
b = 5
PLEASE HELP ME. I NEED IT TO BE SOLVED.
the correct answer is 21
Answer:
21 (this is given in the simplest form)
bryson collects data on the depth of a river at various points and the velocity of the river at those points. his data has a correction coefficient of -0.94. which scatterplot represents brysons data ?
The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.
What is negative correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables.
Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping
Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361
Should you use Sine, Cosine, or Tangent to solve the following problem
Answer:
Chose Cosine
Step-by-step explanation:
This is because cos = adj/hyp
Hope this helps!!!
“Find 24% of $240.”
I keep trying and getting a different answer each time, please help
Answer:
$57.60
Step-by-step explanation:
The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.
(0.24)
Multiply that decimal by the number you want to find the percentage of
$240 * .24 = $57.60
Can y’all help me on this graph work asap pls
In the jeweler's workshop, the ruby would be clasped tightly into a settin
flanked by diamonds.
Based on word parts, what is the meaning of flanked in the sentence?
the side of the body on a person or animal
to be situated on each side of a possession
to guard or strengthen an item from the side
SHORT EXPLANATION
the right or left side of a large body of people
Answer:
To be situated on the sides of the Ruby (Surrounding the Ruby)
Step-by-step explanation:
For the diagram at right, write and solve an equation to find x
Answer:
x = 24
Step-by-step explanation:
The formula for determining the sum of interior angles is:
[tex](n-2) * 180[/tex]
[tex]4 * 180 = 720[/tex]
Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.
[tex](2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24[/tex]
The equation and answer above shows how to find x, which equals 24.
A metal with a specific heat of 0.900 J/g °C requires 1,040 J of heat to
raise the temperature (the change in temperature) by 5 °C. What is
the mass of the metal
PLEASE HELP GIVING OUT BRAINLEST
Answer:
231.1 gm
Step-by-step explanation:
1040 J / .9 j/(gm-C) / 5C = 231.1 gm
The mass of the metal is 231.111 gram.
What is specific heat?The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.
The formula for heat is given by the formula,
Q = mC(ΔT)
Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,
Q = mC(ΔT)
1,040 = m × 0.900 × 5
m = 1040/(0.900×5)
m = 231.111 g
Hence, the mass of the metal is 231.111 gram.
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Find the x - Please help.
Answer:
x = 7
Step-by-step explanation:
the given angles are vertically opposite and are congruent , then
4x - 5 = x + 16 ( subtract x from both sides )
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
alice has take a job with a starting teacher salary of $50,180 an annual raises of $1750 what will be her salary during her fifth year of the job
Answer:
$58,930
Step-by-step explanation:
y=mx+b
starting value (b) = $50,180
rate of increase (m) = 1750
number of years (x) = 5
y= (1750)(5) + 50180
y= 8750 + 50180
y= 58930
X
у
2
9
5
10
7
09
5
12.
3
16
2
O A. y=-10.671X+0.580
O B. y= 10.671x-0.580
O C. y=0.580x-10.671
O D. y=-0.580x + 10.671
SUBMIT
