The right triangle has legs a and b and hypotenuse c. If b=12 and c=13, then what does a equal?
Answer:
a = 5
Step-by-step explanation:
a^2 + b^2 = c^2
Substitute
b = 12
c = 13
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = [tex]\sqrt{25} \\[/tex]
a = 5
Mark brainliest please!
Answer:
use Pythagoras theorem
Step-by-step explanation:
[tex]a^{2} + b ^{2} = c ^{2} \\ a ^{2} + 12 ^{2} = 13 ^{2} \\ a = 5[/tex]
Use data sets A, B, and C to answer the question that follows.
A {25, 24, 25, 22, 21, 23, 1}
B: {20, 23, 25, 21, 24, 22, 60}
C. 20, 21, 20, 22, 20, 24, 99}
Which answer shows the standard deviations of the data sets in order from greatest to least?
- C, B, A
-В, А, С
- A, B, C
The correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.
How to find the standard deviation of a data set?Suppose that
[tex]x_i; \: \: i = 1,2, ... ,n[/tex] are n data values for the given data set.
Then we have: Variance as,
[tex]\sigma^2 = \dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}[/tex]
As standard deviation is the positive root of variance, thus,
[tex]\sigma = \sqrt {\dfrac{\sum_{\forall x_i} (x_i - \overline{x})^2}{n}}[/tex]
If its sample, we divide by n-1 instead of n
Use data sets A, B, and C to answer the question that follows.
A {25, 24, 25, 22, 21, 23, 1}B: {20, 23, 25, 21, 24, 22, 60}C. {20, 21, 20, 22, 20, 24, 99}The mean of the set A is,
[tex]\overline{x}_A=\dfrac{25+24+ 25+ 22+ 21+23+ 1}{7}=20.143[/tex]
Similarly, the mean of set B and C is,
[tex]\overline{x}_B=\dfrac{20+ 23+ 25+ 21+ 24+ 22+ 60}{7}=27.857\\\overline{x}_C=\dfrac{20+21+ 20+ 22+ 20+ 24+ 99}{7}=32.286[/tex]
The standard deviation of the set A is,
[tex]\sigma_A = \sqrt {\dfrac{(25-20.143)^2+(24-20.143)^2......+(1-20.143)^2}{7}}\\\sigma_A = 7.936[/tex]
Similarly, the standard deviation of set B and C is,
[tex]\sigma_B = \sqrt {\dfrac{(20-27.857)^2+(23-27.857)^2......+(60-27.857)^2}{7}}= 13.217\\\sigma_C = \sqrt {\dfrac{(20-32.286)^2+(21-32.286)^2......+(99-32.286)^2}{7}}= 27.27[/tex]
The value of standard deviation of set C is the highest while set A is lowest.
Thus, the correct order which shows the standard deviations of the data sets A,B and C in order from greatest to least is C, B, A.
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-15=8z + 7 slove for z
Answer:
-11/4
Step-by-step explanation:
Answer:
- 2.75 is the answer
Step-by-step explanation:
-8z = 7 + 15
- Z = 22 / 8
- Z = -2.75
-14 < 3 + 1 < 13 answer inequality
Answer: -14 < 1 < 3< 13
Step-by-step explanation:
This is the order from the lowest to greatest
karen has 3 1/3 hours to run errands spends 1 2/3 hour at grocery store and rest at library how muh time did she spend at library
Answer:
1 and 2/3 hours (One hour and 40 minutes.)
Step-by-step explanation:
Karen has 3 and 1/3 hours.
She spends 1 and 2/3 hours at the store.
3 and 1/3 - 1 and 2/3 = 1 and 2/3 or 5/3 is the time she had left after being at the grocery store.
Because the rest of the time was spent at the library, that is your answer.
Please help on math.
Answer:
3
Step-by-step explanation:
First set up your data in order
0,0,0,0,1,1,1,2,2,2,2,3,3
Second subtract the lowest to the highest which is 3-0=3
Hope this helps!
Scott wants to fence three sides of a rectangular exercise yard for his dog. The fourth side of the exercise yard will be a side of the house. He has 200 feet of fencing available. Find the dimensions that will enclose the
maximum area.
a
The fence parallel to the house is
the yard is
feet, the fence perpendicular to the house is
feet and the area of
square feet
Answer:
66 2/3 66 2/3 4 444.44 ft^2
Step-by-step explanation:
the largest area will be a square
200/3 = 66 2/3 feet side length
You are helping some friends assemble a kite. They want to add a ribbon around the outside of the kite using the lengths indicated in the diagram. The lengths given in the diagram are in inches.
How many inches of ribbon do you need to go the entire way around the kite?
Answer in a complete sentence. Provide supporting work in your solution.
And
11y-22=7y-64y=16y=4So
7y-6=7(4)-6=28-6=225x=5(6)=30Perimeter:-
2(30)+2(22)2(30+22)2(52)104inAnswer:
104 inches
Step-by-step explanation:
A kite has two pairs of consecutive, congruent sides.
Therefore, BC = AB and AD = DC
We can use this to determine the values of x and y, and then the perimeter of the kite.
If BC = AB
⇒ 5x = 3x + 12
Subtract 3x from both sides:
⇒ 2x = 12
Divide both sides by 2
⇒ x = 6
If AD = DC
⇒ 11y - 22 = 7y - 6
Subtract 7y from both sides:
⇒ 4y - 22 = -6
Add 22 to both sides:
⇒ 4y = 16
Divide both sides by 4:
⇒ y = 4
As BC = AB and AD = DC
⇒ perimeter = 2 (BC + AD)
= 2 (5x + 11y - 22)
Substituting found values of x and y:
⇒ perimeter = 2 (5(6) + 11(4) - 22)
= 2 (30 + 44 - 22)
= 2 (52)
= 104 inches
How many solutions are there to the equation below?
x = -5
O A. 2
O B. 1
O c. o
D. 25
We will see that the equation has only one solution, so the correct option is B.
How many solutions an equation has?
For an equation of the form:
p(x) = C
Where p(x) is an expression that depends on x, and C is a constant.
The solutions are all the values of x that make the equality true.
For our case, we have:
x = -5
Notice that there is only one value of x that makes the equality true, if we replace x by -5 we get:
-5 = -5
So that is the only solution for the equation, then we conclude that the equation has only one solution, and the correct option is B.
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Takeru has 4 bird feeders. It takes 4/3 bags of bird seeds to fill each feeder. what is the minimum number of bags Takeru needs to fill all the feeders?
Answer: 6
Step-by-step explanation: You would divide 4 by 3 and divide your answer by 2.
100 POINTS WILL MARK BRAINLIEST NEED BY 9:00
Solve the linear equation below. Show ALL your work AND explain the type of solution you found!
8 - 2(4v + 6) = - 4 - 8v
Answer:
See below ~
Step-by-step explanation:
8 - 2(4v + 6) = -4 - 8v8 - 8v - 12 = -4 - 8v-8v - 4 = -4 - 8vOn placing any value for v, they will be equalIt has infinitely many solutionsAnswer:
Hello! The solution to this linear equation is 0 = 0. To find this solution:
Distribute -
8 - 2(4v+6) = -4 - 8v
8 - 8v - 12 = 14 - 8v
Subtract the numbers -
8 - 8v - 12 = -4 - 8v
-4 - 8v = -4 - 8v
Rearrange terms -
-4 - 8v = -4 - 8v
-8v - 4 = -4 - 8v
Rearrange terms -
-8v - 4 = -4 - 8v
-8v - 4 = -8v - 4
Add 4 to both sides -
-84v - 4 = -8v - 4
-8v - 4 + 4 = -8v - 4 + 4
Simplify -
-8v - 4 + 4 = -8v - 4 + 4
-8v = -8v - 4 + 4
-8v = -8v
Add 8v to both sides -
-8v = -8v
-8v + 8v = -8v + 8v
Combine like terms and simplify -
-8v + 8v = -8v + 8v
0 = -8v + 8v
0 = 0
The solution is 0 = 0. This is an identity: it is true for all values.
Hope this helps! Have a great day.
NEED HELP ASAP!!!!!!
Answer:
Vertex: (-2,-8)
Axis of Symmetry: x = -2
x intercept(s): x = 2,-6
Min/Max Value: Min; y= -8
y-intercept: -6
Step-by-step explanation:
Please Solve |x+3| if x > 5
Answer:
x< -8 or x>2
Step-by-step explanation:
apply the absolute root
If lu| > a, a>0 then u< -a or u>a
it is equal to
x+3<-5 or x+3> 5
x<-8 or x>2
Please help I need the answer PLEASE!!!
Answer:
245 Sq inches
Step-by-step explanation:
Surface area of the solid
= 7*7 + 4(1/2 * 7*14)
= 49 + 196
= 245 sq in
Which expression is equivalent to (-3m-2n³)²(4mn²p-4)?
Answer:
36
m
3
n
2
p
−
36
m
2
+
48
m
2
n
5
p
−
48
m
n
3
+
16
n
8
m
p
−
16
n
6
Step-by-step explanation:
kristin exercises 5 hours each week. Make a dot plot of her hours of exercise
and include the hours her friends exercise. Kristin and her friends' total hours
of exercise are shown in the table. How does Kristin's exercise time compare
with her friends
The dot plot is made by representing the frequency of the time spent exercising using dots
Kristin spends more time exercising than her friends
How to make the dot plot?The dataset is given as:
0 6 5 9 5 4 3 5 4 6 4 5 5 4 6
From the dataset, we have the following frequency table:
Time Frequency
0 1
3 1
4 4
5 5
6 3
9 1
See attachment for the dot plot made from the above frequency table
Interpreting the dot plotFrom the dot plot, we can see that Kristin's time of exercise is greater than all of her friend's time of exercise.
Hence, Kristin spends more time exercising than her friends
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is 24L greater than 240ml
Answer:
yes
Step-by-step explanation:
24L (litres) = 24000 ml
1L = 1000 ml
hope this helps!
Answer:
Yes
Step-by-step explanation:
We know that,
1 Litre = 1000 milliliters
Then,
24 L
= 24 * 1000
= 24000 mL
Also,
24000 mL > 240 mL
So,
Yes, 24L IS greater than 240ml.
[tex]\rule{150pt}{2pt}[/tex]
Which number is rational?
Answer:
[tex]\sqrt{16}[/tex]
Step-by-step explanation:
16 has a perfect square, 4.
Answer:
the square root of 16
Step-by-step explanation:
16 is a perfect square so
the square root of 16 is 4
4*4 = 16
The following inequalities are equivalent
except ...
a) x<4
b) X-1<3
c) x + 1<4
d) x - 2<2
Answer:
c )
Step-by-step explanation:
To find equivalent inequalities, we are looking to isolate x on the left side.
a) x < 4 ✅
b) x -1 < 3 add 1 to both sides x -1 +1 < 3 +1 result x < 4 ✅
c) x + 1 < 4 subtract 1 from both sides x + 1 -1 < 4 -1 result x < 3 ❌
d) x - 2 < 2 add 2 to both sides x - 2 +2 < 2+2 result x < 4 ✅
50 points
Please show work !!!
Compare using >,<,or=.
2/3 and 9/12
A deposit of $2,960 is placed into a scholarship fund at the beginning of every six months for 13 years. The fund earns 7% annual interest, compounded biannually, and paid at the end of the six months. How much is in the account right after the last deposit? Select the correct answer below:
Answer:
where are the awnsers??
The value of the initial deposit is $2,960, so a1=2960. A total of 26 six-month deposits are made in the 13 years, so n=26. To find r, divide the annual interest rate by 2 to find the biannual interest rate and add 1 to represent the new biannual deposit.
r=1+0.072=1.035
Substitute a1=2960, n=26, and r=1.035 into the formula for the sum of the first n terms of a geometric series and simplify to find the value of the annuity.
S26=2960(1−1.03526)1−1.035≈122286.78
Therefore, the account has $122,286.78 after the last deposit is made.
just need help with solving for x
Answer:
13.83431104
Step-by-step explanation:
use sin (opposite/hypotenuse) and solve
A shape that has 4 sides and 4 angles.
Answer:
its called a Quadrilateral
Step-by-step explanation:
Answer:
Quadrilateral, parallelogram
BRAINLIEST please if this helped!Which of the following are square roots of
256
A-16
B. 2561/2
C. 2561/2
D. 8
E. 16
F. 128
Answer:
16
Step-by-step explanation:
16^2 = 256
E. the square root of 256 is 16
1/10 (as a fraction) of the animal pictures on Amelia’s smartphone are of cats. Write and solve an equation to find what fraction of all her pictures have cats in them.
1/10 that mean that there are 10 animal pics and 1 cat pic. your equation could be 10-9=1 showing only one 1 cat image.
can you find the slope -intercept equation of each line code ?
Answer:
You can find and write the equations in Slope-Intercept form due to the slope and y-intercept.
Step-by-step explanation:
The Slope-Intercept Form Formula: y=mx+b
The m represents the slope while the b represents the y-intercept
You can also use y2 - y1 / x2 - x1 to find the slope which is the m in your formula.
Lastly, to find a y-intercept, you can plug in your coordinate for the x and y to do two-step linear equations.
What are the zeros of the polynomial function F(x) = x2 -5x-6?
O A. x= -1 and x = 6
O B. x= -6 and x = 1
O C. x = 2 and x = 3
O D. x= -3 and x = -2
Answer:
C
Step-by-step explanation:
Remark
The zeros are found either by using the quadratic equation or by factoring and equating the factors to 0. I think factoring is the best and simplest way.
Solution
x^2 - 5x + 6 factors into
(x - 3)(x - 2)
-3 and - 2 must multiply to 6 (they do) -3 * -2 = 6
-3 and -2 must also add to - 5. They do. -3 - 2 = - 5
So the factors are correct.
x - 3 = 0
x - 3 + 3 = 0 + 3
x = 3
x-2 = 0
x -2 + 2 = 0 + 2
x = 2
Answer
x = 2 and x = 3
The answer is C
Draw and write to solve. Explain
your reasoning.
1. Jean has 10 fish. She gets
4 more fish. How many fish
does she have now?
Answer:
14
Step-by-step explanation:
she has 10
she gets 4 more
10+4=14
O. Solve the equation using the Zero Product Property.
(2x-4)(2x-1) = 0
A. 2, - ;
B. 2, ;
C. -2, 2
D. -2, ;
The solution to the equation is x = 2 , x = 1/2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
( 2x - 4 ) ( 2x - 1 ) = 0
So , the two values of x are
when ( 2x - 4 ) = 0
Adding 4 on both sides , we get
2x = 4
Divide by 2 on both sides , we get
x = 2
And , when ( 2x - 1 ) = 0
Adding 1 on both sides , we get
2x = 1
Divide by 2 on both sides , we get
x = 1/2
Hence , the solution is x = 2 , 1/2
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