Answer:
8
Step-by-step explanation:
ratios of legs = 3x and 4x
Pythagorean theorum:
A^2+B^2=C^2
3x^2+4x^2=10^2
9x^2+16x^2=100
25x^2=100 --> divide by 25
x^2=4 --> x=2
length of longer leg is 4x = 4 x 2 = 8
The length of the longer leg of the triangle is 8.
What is the Pythagorean theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given that, the legs of the right triangle are in the ratio of 3:4.
Therefore, let the legs of the triangles be 3x and 4x.
Since the hypotenuse of the triangle is 10, using the Pythagorean theorem it follows:
10² = (3x)² + (4x)²
100 = 9x² + 16x²
100 = 25x²
x² = 4
x = 2
Therefore, the lengths of the legs are:
3(2) = 6, and
4(2) = 8
Hence, the length of the longer leg of the triangle is 8.
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What is the completely factored form of this polynomial?
81x4 − 16y4
Answer:
( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )
The completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
Determining the completely factored formApply the difference of squares formula:
(9x^2)^2 - (4y^2)^2
Factor the difference of squares:
(9x^2 + 4y^2)(9x^2 - 4y^2)
Apply the difference of squares formula again:
(3x)^2 + (2y)^2
(3x)^2 - (2y)^2
Factor the difference of squares:
(3x + 2y)(3x - 2y)
Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:
(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)
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Can someone explain to me why this is supposed to be 21 and not -21
Answer:
21
Step-by-step explanation:
The reason why the answer is 21 is because a minus with minus makes a positive.
-2 - -17 - -6
-2 + 17 + 6
15 + 6
= 21
Cho surveyed a random sample of 60 students in the school's library about whether they read the newest magazine. Fifteen of the 60 students said they read the newest magazine. Cho determined that 360 students visit the library each day.
Based on the survey, how many of the 360 students can he expect to read the newest magazine?
Answer:
90 students.
Step-by-step explanation:
Given that Cho surveyed a random sample of 60 students in the school's library, of which 15 said they read the newest magazine, and that a total of 360 students attend the library every day, to determine how many of the 360 students can have expect to read the newest magazine the following calculation should be performed:
60 = 100
15 = X
15 x 100/60 = X
1,500 / 60 = X
25 = X
Thus, 25 percent of the students in the sample read the newest magazine. Since 25% of 360 is 90 (360 x 0.25), that is the number of students he can expect to have read the magazine.
April, May and June have
90
sweets between them. May has three-quarters of the number of sweets that June has.
April has two-thirds of the number of sweets that May has. How many sweets does June have?
help
Answer:
A
Step-by-step explanation:
The month of June has 40 sweets
Let the number of sweets in the month of June be P
Given that April, May and June collectively have 90 sweets
Given that May has three quarters of number of sweets as that of June
So we can write
[tex]\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1) \\[/tex]
Similarly it is given that April has two third of sweets as that of May month and hence we can write
[tex]\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)\\[/tex]
As the total number of sweets in April, May and June is 90
Let the number of sweets in May be "M" and in April be "A"
We can write the following equation and solve it further
[tex]\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2) \\[/tex]
[tex]\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40[/tex]
So we can conclude that the month of June has 40 sweets
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PLS HELP (pls pls pls pls pls)
Answer:
Step-by-step explanation:
Basically, since we know that the ticket gives the $2.50 discount we know that the d value will be always $2.5 less than the corresponding p value. The only table that follows that rule is option A).
Karen used one-third of her total stamps on a campaign for charity. Karen used 60 stamps on the campaign
Answer:
She has 180 stamps in total
Step-by-step explanation:
Answer:
180 stamps
Step-by-step explanation:
if she used 60 stamps and that was only a thrid of it, then all you have to do is multiply by 3
Formula: 60·3=180
The sum of - 7/9 and 11/18 is _____
Answer:
[tex]-\frac{1}{6}[/tex]
Step-by-step explanation:
Common denominator: 18
-14/18 + 11/18
= -3/18
Reduce:
-1/6
hector has a $50.00 gift card to purchase online music. he uses his gift card to buy online music. he uses his giftcard to buy 2 albums for $7.50 each. he will spend the rest of his gift card on individual songs that cost $1.50 each . what is the maxinum number of individual songs hector can buy. A.23 B.24 C.28 D.33
Answer:
mk 50- (7.50x2)
50-15=35
then 1.50 can be shoved in 35.00
a)23
it will only go up to 34.5
Step-by-step explanation:
sorry your answer is a)23
Write 36 + 60 as a product using the GCF as one of the factors.
Answer:
12(3+5)
Step-by-step explanation:
You factor out 12 because it is the GCF, then you divide 36 and 60 by 12.
36 + 60 as a product using the GCF as one of the factors is 12(3 + 5).
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, 36 + 60 now the common factors of 36 and 60 are 2, 3, 6, 12
∴ The GCF of 36 and 60 is 12.
So, 36 + 60 as a product can be written as
36 + 60.
12(3 + 5).
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write 134 in decimals
Answer:
1.34
Step-by-step explanation:
Which one is closer to 1 whole , 1 1/4 , 1 1/12 , 1 5/12 ? explain
Answer:
1 1/2
Step-by-step explanation:
We need to convert all of these into one denominator. 1 1/4 needs to be converted into 12ths. 4 x 3 = 12 1 x 3 = 3. Our new fraction instead of 1 1/4 is 1 3/12.
Which is closer to the whole number?
1 1/12 is 1/12 away from a whole number
1 3/12 is 3/12 away from a whole number
1 5/12 is 5/12 away from a whole number
Hope this helps!
Find the mean, median mode(s), range, standard deviation, and variance of the data: 21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5 Eight car sales men sold cars at a dealership. Here is the distribution of cars sold last month: 6, 45, 52, 43, 48, 41, 50, and 48. Find the mean, median mode(s), range, standard deviation, and variance of the data: Which measure of central tendency best represents the data
Answer:
Kindly check explanation
Step-by-step explanation:
Given tbe data :
21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5
Ordered data : 2, 2, 3, 5, 5, 5, 6, 13, 15, 16, 18, 21, 25
Mean, m = Σx /n
Σx = 136
n = sample size = 13
m = Σx / n = 136 / 13 = 10.46
Mode, = 5 (most frequently occurring with frequency of 5)
Median = 1/2(n+1)th term = 1/2(14) = 7th term = 6
Range = maximum - minimum = [25 - 2] = 23
Variance : (V) = Σ(x - m)²/n-1
V = [(2-10.46)^2 + (2-10.46)^2 + (3-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (6-10.46)^2 + (13-10.46)^2 + (15-10.46)^2 + (16-10.46)^2 + (18-10.46)^2 + (21-10.46)^2 + (25-10.46)^2] / (13-1)
= 745.2308 / 12
= 62.10
Standard deviation = sqrt(V) = sqrt(62.10) = 7.88
2.)
X : 6, 45, 52, 43, 48, 41, 50, 48
Reordered data, X: 6, 41, 43, 45, 48, 48, 50, 52
Mean, m = Σx /n
Σx = 333
n = sample size = 8
m = Σx / n = 333 / 8 = 41.625
Median = 1/2 (n+1)th term = 46.5
Range = 52 - 6 = 46
Mode = 48 (highest occurring frequency of 2)
Variance (V) = Σ(x - m)²/n-1
V = [(6-41.625)^2 + (41-41.625)^2 + (43-41.625)^2 + (45-41.625)^2 + (48-41.626)^2 + (48-41.625)^2 + (50-41.625)^2 + (52-41.625)^2] / 5
= 1541.862251 / 7
= 220.27
Standard deviation = sqrt(Variance)
Standard deviation = sqrt(220.26603)
Standard deviation = 14.84
The median
y
4-
3+
2+
1
→
-4
-3
-2
-1
1
2.
3
4
-1+
-2+
-3+
2(3−8y) what do i do please help
Answer:
−16y+6
Step-by-step explanation:
2(3−8y)
=(2)(3+−8y)
=(2)(3)+(2)(−8y)
=6−16y
=−16y+6
Answer:
6-16y
Step-by-step explanation:
2(3-8y)
distibute 6-16y
1. Graph y = x?. Try and do it without using the table
y = x^2 is a quadratic equation. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. This what a graph like dat would look like.
Select all that are equivalent to sin H.
1. cos H
2. cos Y
3. sin Y
4. sin W
5. tan W
6. cos(90-H)
7. sin(90-H)
Answer:
i believe 1-3-5
Step-by-step explanation:
Answer: the 2nd and 6th
Step-by-step explanation:
i did the test thing
There are 14 boys and 9 girls in miss Keller's music class. what is the ratio of boys to girls
Answer:
14:9
Step-by-step explanation:
you cant simplify so just put : in between the numbers and boom! ur ratio is 14 to 9 or 14:9
hope this helps :D
Solve the equation.
y + 54 = 80
I NEED HELP ( WILL GET BRAINLYIST FOR CORRECT ANSWER)
Answer:
36 units.
Step-by-step explanation:
Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold?
adult tickets
Answer:
1035.75
Step-by-step explanation:
Answer:
your answer is 168 adult tickets
Step-by-step explanation:
Just got 100 on edge
A bag contains 12 red marbles, 10 green ones, 2 yellow ones, 19 blue ones, & 9 purple marbles. What is the probability of pulling out a green marble?
The answer is 873.17
Answer:
wat
Step-by-step explanation:
Answer:
To what exactly...?
Step-by-step explanation:
A spinner with 8 equal sections labeled 1 through 8 landing on a number less than 9
Answer:
1
Step-by-step explanation:
The probability of that happening is 1. It must always be < 9. The only way it is not true is if you choose not to spin.
A ball thrown in the air has a height of h(t)
- 16t^2 + 50+ + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t=0 and t = 2?
A. 36 seconds per second
B. -36 feet per second
C.-18 Seconds per second
D. 18 feet per second
PART B.Is the average of the height of the ball increasing or decreasing.
Answer:
(D) 18ft per second
Step-by-step explanation:
the average of the height of the ball is increasing from t=0 to t=2.
When 5 times the number it is added to 3, the result is -37. What is the number?
The equation is 5x +3 = -37
Subtract -3
5x = -40
Divide 5
x = -8
x = -8
Brainiest please!
Answer:
-8
Step-by-step explanation:
Subtract 3 from -37. Which gives -40. Then you divide that by 5. Which gives you -8.
2. The sum of two numbers is 52. The
difference of the two numbers is 6.
What are the numbers?
Answer:
29 and 23
Step-by-step explanation:
Step 1: rewrite the sentences as equations:
equation 1: x+y=52
equation 2: x-y=6
Step 2: add those two equations together to get:
2x=58
x=29
Step 3: substitute x in one of the first equations to get y:
29-y=6
y=23
Step 4: Check with the other equation:
x+y=52
29+23=52✔
Simply (2^3)-2
0 - 1/64
0 1/64
0 2
0 64
The correct answer is,
[tex] \frac{1}{64} [/tex]
Answer:
1/64
Step-by-step explanation:
when exponents are separated by parentheses, multiply them
so (2³)^-2 = 2^-6
whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive
2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]
Part A
Darren has already earned $80 mowing lawns. He earns $20 per lawn. He needs at least $135 for a new string trimmer. Write
an inequality to determine how many more lawns Darren will need to mow to have at least $135, where n represents the
number of lawns he needs to mow
O A) SO + 20n < 135
OB) 80 + 20 2135
O c) SOn + 20 2 135
OD SOn + 20 <135
Answer:
A
Step-by-step explanation:
can someone help me? its due in 10 minutes.
Answer:
The first option is correct.
Answer:
A= ×/87=43/100
I'm terrible in explaining this, but the answer is A. x = 37.41. Since you cross-multiply and divide. 87×43=3741 and 3741÷100=37.41
HLEP ME PLEASE MY HOMEWORK IS SO HARDDDDDDDD
Answer:
the other side is 4
Step-by-step explanation: its a right triangle
Step-by-step explanation:
this is my answer if u are asking for the adjacent length...sorry if its wrong