Answer:
let thanh age be x
Step-by-step explanation:
xuyen age= 22
therefore= (X-10)2=22
=2x-20=22
=2x=44
x=22
thanh age is 22
The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
than the second side. Find the length of each side.
We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
One side is 3 times the second side.Third side is 12 feet longer than the second side.As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
So let the second side be xThen,
First side = 3xAnd, third side = x + 12We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:
[tex]3x + x + x + 12 = 32[/tex]
Solving it further,
[tex]5x + 12 = 32[/tex]
Subtracting 12 from both sides,
[tex]5x + 12 - 12 = 32 - 12[/tex]
[tex]5x = 20[/tex]
Dividing 5 from both sides,
[tex] \frac{5x}{5} = \frac{20}{5} [/tex]
[tex]x = 4[/tex]
Then,
First side = 3x = 12 feetSecond side = 4 feetThird side = x + 12 = 16 feetAnd we are done with the answer !!
#CarryOnLearning
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10 blue marbles, 3 white marbles, 15 violet marbles, and 5 green marbles, ratio of white marbles to green marbles?
Answer:
3:5
Step-by-step explanation:
10 Blue Marbles
3 white marbles
15 violet marbles
5 green marbles
Ratio: white to green marbles
ratio symbol ":"
3 White & 5 Green
Answer: 3:5
Hope this helps :) !!!
4(1+9x) simple fie for me please
You dont have to do all of them, but if you do you will get brainliest and five star.
1. what are the corrospoding parts of these two traingles? Write the corresponding angles and corresponding sides. 2. Assuming these triangles are simular, use the labels to write the ratios of corresponding sides that are proportional 3. Assuming these triangles are simular, write three statements relating the angle that are congruent
Answer:
See below.
Step-by-step explanation:
1. Look at the marks on the angles of both triangles.
Angles C and F have a single mark (that looks like an arc). They are congruent.
Angles A and D have a double mark (that look like arcs). They are congruent.
Angles B and E have a triple mark (that look like arcs). They are congruent.
Each pair of congruent angles is a pair of corresponding angles.
Corresponding angles:
<C and <F
<A and <D
<B and <E
For corresponding sides, we do this.
First, we write a statement of similarity.
Triangle ABC is similar to triangle DEF.
The statement of similarity must have the corresponding angles in the same order.
The order ABC and the order DEF matches corresponding angles.
The corresponding sides have the vertices of corresponding angles as their endpoints.
Corresponding sides:
AB and DE
BC and EF
AC and DF
2. For similar triangles, the ratios of the lengths of corresponding sides are equal.
The ratios of the lengths of corresponding sides are equal:
AB/DE = BC/EF = AC/DF
3.
<A is congruent to <D
<B is congruent to <E
<C is congruent to <F
Describe the transformation used to map the graph of f(x) =x onto the graph of g(x)= 4x
Answer:
Step-by-step explanation:
5). Graph of the parent function f(x) = x has been given in the picture.
To map the graph the function 'f' onto the graph of function 'g',
f(x) = x
g(x) = 4x
A vertical stretch of the function 'f' by a scale of 4 is required.
6). Rule for a function to be translated by 'a' units down,
g(x) = f(x) - a
By this rule, if the function 'f' is translated 7 units down,
g(x) = f(x) - 7
g(x) = x - 7
X
A spinner is divided into 4 equal sections labeled with the numbers 1 through 4. The tree
diagram represents all of the possible outcomes of spinning the spinner twice. Use the drop-
down menus to complete the statements about the possible outcomes.
Answer:
Step-by-step explanation:the first one is 8
Second 3 3- 6
1) There are total 16 possible outcomes.
2) There are 6 possible outcomes for spinning two numbers that have sum greater than 5.
3) There are 4 possible outcomes for spinning the same number twice.
What is probability?" Probability is a branch of mathematics which represents the all possibilities. It is defined as the ratio of total number of favourable outcomes to the total number of outcomes of the particular event."
According to the question,
A spinner is divided into 4 equal sections that is 1 to 4.
As per the diagram,
All possible outcomes are as follow:
{ (1 ,1), ), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4),(4,1),(4,2),(4,3), (4,4) }
1) Total possible outcomes = 16
2) Possible outcomes for spinning two numbers that have sum greater than 5 are (2,4), (3,3), (3,4), (4,2), (4,3), (4,4)
Therefore,
Total Possible outcomes for spinning two numbers that have sum greater than 5 = 6
3) Possible outcomes for spinning the same number twice are (1,1), (2,2), (3,3), (4,4)
Therefore,
Total Possible outcomes for spinning the same number twice = 4
Hence,
1) There are total 16 possible outcomes.
2) There are 6 possible outcomes for spinning two numbers that have sum greater than 5.
3) There are 4 possible outcomes for spinning the same number twice.
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Joseph is building a doghouse. He wants it to be a replica of his house, but smaller. His house is 18 feet tall. He needs the doghouse to be between 3 and 4 feet tall. Therefore, the doghouse should be what percentage of the size of his house? (Provide a range
Answer:
19%
Step-by-step explanation:
3/18=.19 and something else
3.5/18=.19 and something else
4/18= .19 and something else
18 * 19%= somewhere in between 3 and
1. Order each group of
numbers from least to
greatest:
9,616
9,016 9,916 9.916.1
hope that helps !
Homework Worksheet: 3.2 Day 1 - Slope
Name:
Period:
Question 1: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
Question 2: Identify the slope (Positive, Negative, Zero, Undefined)
ANSWER:
1
Question 3: Find the slope & explain what kind of slope it is.
ANSWER:
Question 4: Find the slope & explain what kind of slope it is.
ANSWER:
Question 5: Find the stope & explain what kind of slope it is
(12.-18) and (11, 12)
ANSWER:
Thank
Answer:
1) zero
2) undefined
3) negative
4) positive
5) negative y= -30x+342
hope this helps;)
Find the length of each segment with endpoints A and B. Select the exact answer. (This means that it is either an integer or in simplest radical form) A (5,-6) B (-2,-8) a 10 b 3 c53 d 17
I
Table 1: multiple regression estimates.
reg sleep age toturk
Source
SS
df
MS
Model
Residual
15155229.8
124084606
2
703
7577614.89
176507.263
Number of obs
F(2, 703)
Prob > F
R-squared
Adj R-squared
Root MSE
706
42.93
0.0000
0.1088
0.1063
420.13
Total
139239836
705
197503.313
sleep
Coef.
Std. Err.
t
P>It!
[95% Conf. Interval]
age
toturk
cons
2.923879 1.396712
-.14901071 .0167207
34597201 68.11787
2.09
-8.91
50.93
0.037
0.000
0.000
.1816517
-.1818393
3335.462
5.666105
-.1161822
3602.939
Calculate the regression coefficients in the above table by hand, using the statistics below and the
formulas in Ben's Chapter 3 notes (“example with k = 2")?
Table 2: variances and covariances.
corr sleep age totwrk, covariance
(obs=706)
sleep
age
totwrk
sleep
age
totwrk
197503
455.554 128.655
-135324 -532.718
897700
Answer:
sleep ia word qjwjnwjeje
The output from a statistical software package indicates that the mean and standard deviation of a data set consisting of measurements are $ and $, respectively. a. What are the units of measurement of the variable of interest? A. Units B. Dollars Your answer is correct.C. Single measurements
Answer: dollars
Step-by-step explanation:
Mean means average and it's calculated by adding the numbers given and then dividing the sum by the amount of numbers that were given.
The standard deviation shows the amount of dispersion or amount of variation of a given set of values. From the question, the only unit of measurement we can see is the dollar sign($).
Help me ASAP plsssssssssssssssssssssssssssss
Answer:
B
Step-by-step explanation:
Answer: B. Recycling
Step-by-step explanation: Recycling is turning something like newspapers and making them into new products.
Mark Brainliest if you want!
In a lab, a substance is heated by 4°C each hour for 28 hours. What was the total change in temperature?
Answer:
112 difference in tempature
Step-by-step explanation:
multiply 4x28
what is the answer? x+300=500 Will mark brainliest for high quality answers
Answer: x=
3
500
=166.667
Step-by-step explanation:
This deals with adding, subtracting and finding the least common multiple.
Hey there!
ANSWER: [tex]x=200[/tex]EXPLANATION:[tex]x+300=500[/tex]
To solve this, we can just do 500 - 300.
[tex]500-300=200\\x=200(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
There were 81 elk introduced in Missouri in 2012. In 2018, there are about 170 adults. If the population continues to grow linearly at this rate, what will the population be in 2020?
Answer:
there will be 259 elk
Step-by-step explanation:
Select the sign of inequality that will make the following statement true.
|-5| __ 0
≥
≤
=
Answer:
≥
Step-by-step explanation:
The double bar around -5 is absolute value. It means any number will turn positive
|-5| ? 0
5 ? 0
5 ≥ 0
Simplify (x4 – 3x3 – 11x2 + 3x + 10) (x – 5)
Answer: -17+3x
step by step:
4-3x3-11x2+3x+10
4-9-11x2+3x+10
4-9-22+3x+10
-17+3x
1. Ms. Scott raised $4,763 for the local charity. Find the opposite of this integer.
Answer:
D
Step-by-step explanation:
Shsgbsbdh
Point M is the midpoint of AB. The coordinates of point A are (-6, 1) and the coordinates of M are (-3,2).
What are the coordinates of point B?
The coordinates of point B are
Answer:
Let B(a,b) be x1, y1
A(-6,1) be x2,y2
midpoint M(-3,2) be (x,y)
using midpoint formula
(x,y)= [(x1+x2)/2, (y1+y2)/2)
(-3,2) = [(a-6)/2, (b+1)/2}
comparing corresponding value
-3 = (a-6)/2 (b+1)/2 = 2
-6= a-6 b+1=4
a=0 b=3
coordinates of B = (0,3)
800 out of 1/10 is what?
The answer is 80.
Please mark brainliest
A map is drawn to scale so that a length of 1 inch represents an actual distance of 6 miles. If two
towns are 30 inches apart on the map, what is the actual distance between the two towns?
the circumference of a new P205/70R16 tires is 85.66in. if the old factory installed tires had a circumfrense of 72.13 in find the ratio
Answer:
wait one second
Step-by-step explanation:
i am working on it
Have some points, i have to put in a question anyway to be "Part of The Community"
Answer:
yay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
thanks! have a nice day!
Ron is saving 2/13 of his monthly income of 3978 for a new car. how much money is he setting aside each month for that car?
Answer:
$612
Step-by-step explanation:
2/13 of 3978 is 612
What percent of 86 is 50 to the nearest whole percent
Answer:
58%
Step-by-step explanation:
50/86 is approximately equal to 0.58, and when you convert that into percentage you get 58%
c=2×3.14r to find the circumference of a circle with a radius of 5 meters
Answer:
C≈31.42
r Radius 5
In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13
Answer:
4.00
I just did the question
Answer:
The Answer is B. 4.00
Step-by-step explanation:
-7 (8s + 9f) if s = -5 and f = -3
Answer:
469
Step-by-step explanation:
Substitute -5 and -3 into the equation:
-7(8 (-5) + 9 (-3)
-7(-40 - 27)
-7(-67)
+469
Nancy decides to roll a dice three times. What is the probability that she will roll all even numbers?
Given:
Nancy decides to roll a dice three times.
To find:
The probability that she will roll all even numbers.
Solution:
If a dice is rolled, then the possible numbers are
Total number = {1,2,3,4,5,6} = 6
Even numbers = {2,4,6} = 3
Odd numbers = {1,3,5} = 3
Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]
[tex]P(\text{Even})=\dfrac{3}{6}[/tex]
[tex]P(\text{Even})=\dfrac{1}{2}[/tex]
So, probability of getting all even numbers is
[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]
[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]
[tex]P(\text{All even})=\dfrac{1}{8}[/tex]
Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].
The probability that Nancy will roll all even numbers will be:
"[tex]\frac{1}{8}[/tex]".
ProbabilityAccording to the question,
Number of times dice rolled = 3
Total numbers = {1, 2, 3, 4, 5, 6}
= 3
Even numbers = {2, 4, 6}
= 3
Odd numbers = {1, 3, 5}
= 3
Now,
The probability of getting even numbers will be:
= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
hence,
The required probability be:
= P(Even) × P(Even) × P(Even)
= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]
= [tex]\frac{1}{8}[/tex]
Thus the above answer is correct.
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