2/7*3/8>3/8 because 2/7>1
The hypotenuse of a right triangle is 55 inches long. One leg is 2 inch(es) longer than the other. Find the
lengths of the legs of the triangle. Round your answers to the nearest tenth of an inch. Answer: The lengths are
Answer:
Step-by-step explanation:
Angles: 45°: 45°: 90°
Ratio of sides: 1:1:√2
Given c= 55
a =c/√2
a=55/√2 = 38.9
b=a+2 = 38.9+2 =41.9
The length of the legs of the triangle is 41.9
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
Angles are: 45°: 45°: 90°
The ratio of sides: 1:1:√2
Given c = 55
a = c/√2
a = 55/√2
a = 38.9
b = a+2
b = 38.9+2
b =41.9
Thus, the length of the legs of the triangle is 41.9
Learn more about a right angle;
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Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer:
D
Step-by-step explanation:
Took it on Ed but it might be different
Answer:
D
Step-by-step explanation:
I did the math :)
PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
Find the cardinal number for the set. Α = {3, 6, 9, . . . , 36}
Hey mate!!
Answer:
n(A)=12
Solution,
A={3,6,9,12,15,18,21,24,27,30,33,36}
Just count the elements,
There are 12 elements in the set.
So the cardinal number of the set is 12.
Hope it helps...Answer:
[tex]12[/tex]
Step-by-step explanation:
A = {3,6,9,12,15,18,21,24,27,30,33,36}
To find the cardinal number,
just count the numbersSo, according to that,
there are 12 numbers in this set.
So, it's clear for us that, the cardinal number of this set is 12
n (A)= 12
hope this helps
brainliest appreciated
good luck! have a nice day!
There are 2200 students in a school. 52.5% of them are male. How many are female?
___________________________________
Total number of students=2200
Total percent of male=52.5%
Total percent of female=100%-52.5%
=47.5%
Total number of female= 47.5% of 2200
=47.5/100*2200
=1045
So the total number of female is 1045
hope it helps
Good luck on your assignment
________________________________
Answer:
[tex]1045[/tex]
Step-by-step explanation:
[tex]no. \: \: of \: \: students = 2200[/tex]
First let's find the percentage of female.
[tex]100\% - 52.5\% = 47.5\%[/tex]
So now let's find how many female students are there in the class
[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone help me on these two questions?
Answer:
1. 88 degrees
2. x=8
Step-by-step explanation:
1.
In a hexagon, all of the interior angles must add up to 720 degrees. Therefore:
x+125+120+95+120+172=720
x=88
2.
Since opposite sides of a parallelogram are equal:
2x=x+8
x=3x-16
Let's go with the first equation.
2x=x+8
Subtract x from both sides:
x=8
You can plug this into the second equation to ensure it works:
3(8)-16=8
24-16=8
8=8
Hope this helps!
Answer:
1. 88
2. 48
Step-by-step explanation:
1. The total of the inner angles of the hexagon is 720
95+120+120+172+125=632
720-632=88
2. 2x=x+8
x=8
If we put all the x's in place and add them, the result is: 48
HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.
Answer:
Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....
Step-by-step explanation: yeah
Answer:
i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.
Step-by-step explanation:
volume = 1
0.5 +0.5 = 1
volume 2
1+1 = 2
you just need to use the word distribution and show like this
(V): amount / 2 = new amount (adding cm^3)
To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.
(V): L x Wx H =
You then multiply the amount of books if you was not given the measure of the bookcase shelf.
IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.
H/2 = first and enter below the new height.
(V): L xWx H = this is the whole shelf
(V) = / 2 you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1 by (/2)
Use the found answer
LAbel
MAth text books (V) =
Bounty paper towells (V) =
Then see how many cubic sheets fit.
ie) if they measure 30cm x 1cm x 30xm
and the shelf measures 30cm x 60 x 60
you can count up from the second values as the first values fit the length
The width = 1 x 60 - 60 books. (example 1cm Width thickness)
Then see the height does not change to the height of the books.
IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height
then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%
To calculate percentage decrease: see above
First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.
You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% = amount x 0.50 = 1/2 new amount.
How did you figure out the number of windows on 10 floors?
Answer:
There are 40 windows on the 10th floor
Step-by-step explanation:
Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.
does anyone know the answer to this ?
Step-by-step explanation:
The circumference of the clock will be 8.6π because its hand is the radius. In 15 minutes the hand moves a quarter of the circumference which is 2.15π or 6.571.
Calculate the radius of the circular rug. Use 3.14 for π.
Enter your answer in the box below.
____ feet
Answer:
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
[tex]\sqrt{\frac{153.86}{3.14} } = r[/tex]
You're welcome and don't forget to click THANKS
Answer:
\sqrt{\frac{153.86}{3.14} } = r
Step-by-step explanation:
a=pir^2
153.86 = 3.14*r^2
\sqrt{\frac{153.86}{3.14} } = r
Use the discriminant to determine the number of real solutions to the quadratic equation. 11m2+12m+4=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answer:
0
Step-by-step explanation:
The discriminant is
12^2 - 4*11*4 = -32
Since it is negative, there are 0 real solutions
Mrs. Burgess, Mrs. Curry, Ms. Davis and Mrs.
Stowers went to lunch this weekend. The lunch
total was $81.20. How much does each person
owe if they split it evenly?
Answer:
$20.30
Step-by-step explanation:
There are 4 people so 81.20/4 = 20.30
Answer: $20.30
Step-by-step explanation:
There are 4 people and so you need to divide the cost by the amount of people to see what each person owes
Help out please thank you
Answer: 6a. 3 1/3, 6b. 2 2/5, 6c. 1/4, 6d. 9/10
Step-by-step explanation: You can use math/way or Soc/ratic to find the answers. Math/way is a website, Socr/atic is an app.
Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8
The shorter leg of a right triangle is 21 feet less than the other leg. Find the length of the two legs if the hypotenuse is 39 feet.
Answer:
leg 1= 36 feet
leg2 = 15 feet
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.
leg1 = x
leg2 = x-21 (21 feet less than the other leg)
Replacing with the values given:
39^2 = x^2 + (x-21)^2
1,521 = x^2 + x^2 -42x +441
0 = 2x^2 -42x +441-1,521
0= 2x^2 -42x -1,080
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a (quadratic formula)
Replacing with the values given:
x=-(-42)± √(-42)²-4(2)-1080] /2(2)
x= 42± √10,404] /4
x = 42± 102 /4
Positive:
x = 42+102 /4 = 36
leg 1= 36
leg2 = 36-21 =15
Feel free to ask for more if needed or if you did not understand something.
The length of shorter leg is 15 feet and other leg is 36 feet.
Pythagoras theorem:Let us consider that, length of shorter leg is x feet.
So that, length of other leg is [tex](x+21)[/tex] feet.
It is given that, the hypotenuse is 39 feet.
Apply Pythagoras theorem,
[tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]
Since, side can not be negative.
So that, we have to consider x=15 feet.
Length of other leg[tex]=x+21=15+21=36feet[/tex]
Learn more about the Pythagoras theorem here:
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10.1 Populations and Samples
1. A company uses a computer to identify their 600 most loyal customers
from its database and then surveys those customers to find out how
10.2 Making Inferences from a Random Sample
2. A university has 30,330 students. In a random sample of 270 students,
18 speak three or more languages. Predict the number of students
at the university who speak three or more languages.
10.3 Generating Random Samples
A store receives a shipment of 5,000 MP3 players. In a previous shipment
numbers 1 through 300 represent defective MP3 players, and the numbers
numbers to simulate a random sample of this shipment. The clerk lets the
301 through 5,000 represent working MP3 players. The results are given.
13 2,195 3,873 525 900 167 1,094 1,472 7095,000
they like their service. Identify the population and determine whether
of 5,000 MP3 players, 300 were defective. A store clerk generates random
3. Based on the sample, how many of the MP3 players might the clerk
4. Can the manufacturer assume the prediction is valid? Explain.
5. How can you use random samples to solve real-world problems?
the sample is random or biased,
predict would be defective?
ESSENTIAL QUESTION
I think you can multiply how many are defective in a sample by how much more stuff there is
Answer:
I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.
Step-by-step explanation:
1.(Please,I cannot understand it .I think it is incomplete.)
2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.
3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.
4.No, the manufacturer cannot assume the prediction is valid.
The sample size of 10 is too small compared to the size of the shipment.
5.You can use random samples by using them for graphs which numbers are too big.
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK)
Answer: $47.83
Step-by-step explanation: Let's turn the percentage into a decimal, move the decimal two times to the right...
6% ⇒ 0.06
0.06 * $50.88 = $3.05
$50.88 - $3.05 = $47.83
Remember x = price before tax...
x = $47.83
Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an
equation modeling the inverse variation between the stock and bond prices to predict the price of
Stock Texas when Bond Austin is worth the following
$68.74
Answer:
I think the answer would be $466.24.
Which of the following expressions can be factored by grouping? (Select all that apply.)
a^2 - 9 a + 7 ab + 63 b
3 a + 4 ab - b - 12
ab + 6 b - 2 a - 12
x^3 + 9 x^2 + 7 x + 63
ay^2 + a - y^2 - 1
Answer:
Options (3), (4) and (5)
Step-by-step explanation:
1). a² - 9a + 7ab + 63b
= a(a - 9) + 7b(a + 9)
Now we can not solve this problem further.
Therefore, can't be factored by grouping.
2). 3a + 4ab - b - 12
= a(3 + 4b) - 1(b - 12)
We can't solve it further.
Therefore, can't be factored by grouping.
3). ab + 6b - 2a - 12
= b(a + 6) - 2(a + 6)
= (b - 2)(a + 6)
We can be factored this expression by grouping.
4). x³ + 9x²+ 7x + 63
= x²(x + 9) + 7(x + 9)
= (x² + 7)(x + 9)
Therefore, the given expression can be factored by grouping.
5). ay² + a - y² - 1
= a(y² + 1) - 1(y² + 1)
= (a - 1)(y² + 1)
This expression can be factored by the grouping method.
Options (3), (4) and (5) are the correct answers.
WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.
You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get
(-22 + 4i)/50 which can be simplified to
(-11 + 2i)/25
Answer:
Step-by-step explanation:
What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i
The conjugate is 7 - i
D if correct if you just made a typo. Otherwise there is no answer.
( - 3 + i ) * (7 - i)
=============
(7 + i ) ( 7 - i)
( - 3 + i ) * (7 - i)
=============
49 - i^2
( - 3 + i ) * (7 - i)
=============
49 + 1
( - 3 + i ) * (7 - i)
=============
50
I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.
4 + 5 /3 squared - 2 squared
Answer:
[tex]\frac{25}{9}[/tex]
Step-by-step explanation:
[tex]4+\frac{5}{3} ^2-2^2=\frac{5}{3}^2=\frac{25}{9}[/tex]
Solve for the missing value x 3:9=x:81
Answer:
x=27
Step-by-step explanation:
So let's look at the ratio
3:9
x:81
x is proportional to 3 the same way that 81 is to 9
How would we get 9 to 81?
We would multiply by 9
So what is 3*9?
27
if y=Kxz SQUARED, FIND K IF X=3. Z=2. y=60
Answer:
y = kxz²
k= y/xz²
x= 3 y = 60 z= 2
k = 60/3(2)²
k=60/12
k= 5
Hope this helps.
ASAP Mario was given the following enlargement. Side A corresponds to a side with length 24 centimeters. A side with length 6 centimeters corresponds with a side with length 12 centimeters. Figures not drawn to scale. What is the length of side A, in centimeters? 12 15 24 33
Answer:
The length of side A is 12 cm
Step-by-step explanation:
This question is best answered when there's an attachment; however, the absence of an attachment doesn't mean it can't be solved.
Given
Side A corresponds to 24 cm
Length 6 cm corresponds to Length 12 cm
Required
Find A
The given parameters can be represented mathematically as;
[tex]\frac{A}{24} = \frac{6}{12}[/tex]
With this expression, the value of A can be easily solved
First; multiply both sides by 24
[tex]24 * \frac{A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24 *A}{24} = \frac{6}{12} * 24[/tex]
[tex]\frac{24A}{24} = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6}{12} * 24[/tex]
[tex]A = \frac{6 * 24}{12}[/tex]
[tex]A = \frac{144}{12}[/tex]
[tex]A =12[/tex]
Hence, the length of side A is 12 cm
Answer:
ANSWER:A
Step-by-step explanation:
ANSWER IS A!SAVE YOURSELF! RUN! DON'T FAIL UR TEST!
byeeeeee:)
<3
Thomasina wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
Answer:
1
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)
A whole number is rational (2 for example can be written as 2/1).
It could have been 2 or 3 or 33.
3x - 36 + 2y = 0
Help! Please show work and match the algebraic function to the correct graph.
Answer:
The answer is Graph III.
Step-by-step explanation:
Given that the linear equation is y = mx + c where m represents gradient and c is y-intercept.So firstly, we have to make y the subject :
[tex]3x - 36 + 2y = 0[/tex]
[tex]2y = - 3x + 36[/tex]
[tex]y = - \frac{3}{2} x + 18[/tex]
Next, by looking at the graph, we know that the line has a negative gradient and touches y-axis at 18 which suits the equation.
If AB = 10, BD = 5, and DE= 12, what is the length of BC?
Answer:
BC = 24
Step-by-step explanation:
In the picture attached, the missing triangles are shown:
Data
AB = 10BD = 5DE= 12Then, AD = 10-5 = 5As a consequence of the "Side Splitter" Theorem:
AD/DE = AB/BC
Replacing with data and solving for BC
5/12 = 10/BC
BC = 10*12/5 = 24
The length of BC is 8 units.
The given figure is image 1.
From the image: AD = AB + BD = 10 + 5 = 15.
From the image triangle ABC and ADE are similar.
So their sides will be in the same ratio.
[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]
Learn more: https://brainly.com/question/13769924
Write the set of real numbers x less than 6 in set builder notation
Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
x is a real numberx is less than 6Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
what is the quotient of 3 and y? Is it 3 over y or y over 3?
Answer:
it is 3/y.
Step-by-step explanation:
the answer is 3/y because 3 comes before y in the question.
Help pleasseee •-•
1. The dot plot below shows the vertical jump of some NBA players. A vertical jump
is how high a player can jump from a standstill. Draw a box plot of the heights for the
vertical jumps of the NBA players above the dot plot.