Answer:
The length of the longer side is 2√2/3
Step-by-step explanation:
A 45-45-90 triangle is a right-angled triangle.
In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.
Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse
Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;
Mathematically, let’s call the longer side x
so x^2 = (2/3)^2 + (2/3)^2
x^2 = 4/9 + 4/9
x^2 = 8/9
x = √(8/9)
x = 2√2/3
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
please help me fast
hope its easy for ya
Answer:
(1) 5x+14
(2)5x+15
(3) x^2 + 7x
(4) 4x+13
(5) x^2 +5x
(6) 6x+16
(7)x^2+4x
Factor the given polynomial.
9z^2 +15z +4
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. 9z^2 +15z +4=
B.The polynomial is prime.
Answer:
(3z + 1)(3z + 4)
Step-by-step explanation:
[tex]9 {z}^{2} + 15z + 4 \\ = 9 {z}^{2} + 3z + 12z+ 4 \\ = 3z(3z + 1) + 4(3z + 1) \\ = (3z + 1)(3z + 4)[/tex]
115% of what number is 138?
Answer:
120
Step-by-step explanation:
120 * 1.15 = 138
Answer:
120
Step-by-step explanation:
115% of the number 120 is 138
explain the process to calculate the distance between A= (9,7), B= (3,2)
Answer:
Step-by-step explanation:
Distance Formula in Pic
You just plug in the numbers for x1,y1 and x2,y2
A is your x1 and y1
B is your x2 and y2
after plugging it you do PEMDAS and solve it
how to solve |-6y|-9>-1
Answer:
y < -4/3 or y > 4/3
Step-by-step explanation:
|-6y| -9 > -1Since this is an absolute value inequality, we need two equations to set up to solve for y1st equation:-6y - 9 > -12nd equation:6y - 9 > -1Solve both equations:-6y-9>-1-6y > 8y < -4/36y -9 > -16y > 8y > 4/3Chance left the park traveling 10 mph. Then, 2 hours later, Malik left traveling the same direction at
14 mph. How long until Malik catches up with Chance?
Answer:
8 hours
Step-by-step explanation:
after 8 hours chance will have traveled 100 miles and malik will have traveled 102 miles.
Write in expanded form 51.242.
Answer:
50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]
Step-by-step explanation:
This is the answer because:
1) 50 and 1 equal to 51
2) The fraction forms of a decimal number is: the decimal number/the decimal number place value
3) Therefore, the answer is 50 + 1 + [tex]\frac{2}{10}[/tex] + [tex]\frac{4}{100}[/tex] + [tex]\frac{2}{1,000}[/tex]
Hope this helps!
Hotel manager salary and 61,410 which is a 15 increase over the previous year salary what was the previous year salary
solve system
a = 5 - 2b; a +2b = 6
Answer:
This System has no solutions.
please help me guys im lost
Answer:
D. BC ≅ EF
Step-by-step explanation:
ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.
__
In ∆ABC, the marked angles are B and C, so the segment between them is BC.
In ∆DEF, the marked angles are E and F, so the segment between them is EF.
These are the segments that need to be shown congruent if you're using ASA.
BC ≅ EF
Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?
Answer:
18 tiles
Step-by-step explanation:
If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:
90 has the prime factors 2x3x3x5
72 has the prime factors 2x2x2x3x3
The prime factors that are common to both are 2, 3 and 3 which multiply together to get:
2x3x3 = 18
The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.
Hope this helped!
Can someone help me with this I will make you brainliset
Answer:
I believe the answer is statements 1, 4, and 6.
Step-by-step explanation:
Answer:
1.4 and 1.7
Step-by-step explanation:
Population of Olde Town
What is the slope for this scenario?
0-500
0.250
200
Answer:
- 250
Step-by-step explanation:
Pick two points along the line of the graph
(4,7000) and (8,6000)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (6000-7000)/(8-4)
-1000/4
- 250
Answer:
-250
Step-by-step explanation:
On the exam, Rebecca successfully created 20 out of 25 vases.
[tex]\text{Hello there! :]}[/tex]
[tex]\large\boxed{125 \text { vases}}[/tex]
[tex]\text{To solve, find the proportion of successes from the total:}\\\\20 / 25 = 4 / 5\\\\\text{Set up a proportion to find the # of vases necessary to complete 100 successfully:}\\\\\frac{20}{25} = \frac{100}{x} \\\\\text{Cross multiply to solve:}\\\\20 * x = 100 * 25\\\\20x = 2500\\\\\text{Divide both sides by 20:}\\\\x = 125 \text{ vases}[/tex]
Answer:
125=_=_=
Step-by-step explanation:
hoped I helped
I NEED HELP ASAP!!!!!!!!
Answer:
you can say how u shop a discount stores like shein and shop for clearance. You can also say that u used to spend money to keep up with the trends but u realized u needed the money for other important things, so u stopped
Step-by-step explanation:
Could I get some help on these please? Will give points.
Answer:
X=-4, Y=22, idk about the CBD
Step-by-step explanation:
4y+2=90 degrees
subtract 2 on both sides you would get
4y=88 divide 4 with 88 and get 22
solve both X's so 5x+6=3x-2
i would subtract 3x first so i can get
2x+6=-2
then subtract 6 on both sides so you would have
2x=-8 divide -8 with 2 and get -4
a)
percent.
A shopkeeper fixed the price of his articles 25 % above the cost price. If he sold an
article allowing 5% discount, find his profit percent.
Ashankeaner fived the more
bi
CL
please solve as fast as possible...
No spams please......
Answer:
In ∆ABD and ∆ACD
<BAD =<CAD ( each are half of <A )
<D=<D ( each equal to 90°)
AD = AD ( common)
So ∆ ABD is congruent to ∆ ACD.
Then AB =AC (by C.P.C.T)
Hence,∆ABC is an iso - sceles triangle.
30 points and possible brainliest
I need help I selected one but I don't know what the other one is.
Answer:
the answer is D and a
Step-by-step explanation:
please mark me as a brainlist...
5% of what number is 90?
Hey there!
ANSWER: [tex]4.5 \text { and }1800[/tex]
EXPLANATION:5% of what is 90?
If you want to find 5% of what is 90, you can try doing 90/5%.
[tex]90/5[/tex]%[tex]=1800(ANSWER)[/tex]
To get the decimal form, you can do 90*5%.
[tex]90*5[/tex]%[tex]=4.5(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
The sum of three consecutive natural numbers is 540, find the numbers.
Answer:
179, 180, 181
Step-by-step explanation:
a +a +1 +a +2 =540
3a +3 =540
3a =540 - 3
3a=537
a=537 :3
a=179 (the first number
b=179 +1 =180 (the second number
c=179 +2 =181 (the third number
[tex] \sqrt{2k ^{2} + 17 } - x = 0[/tex]
If k>0 and x=7 in the equation, what is the value of k?
Answer:
[tex]k=4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\sqrt{2k^2+17}-x=0[/tex]
Where:
[tex]k>0\text{ and } x=7[/tex]
And we want to find k.
Firstly, let's substitute 7 for x. So:
[tex]\sqrt{2k^2+17}-7=0[/tex]
Now, we can solve for k. Add 7 to both sides:
[tex]\sqrt{2k^2+17}=7[/tex]
Square both sides:
[tex]2k^2+17=49[/tex]
Subtract 17 from both sides:
[tex]2k^2=32[/tex]
Divide both sides by 2:
[tex]k^2=16[/tex]
Take the square root of both sides:
[tex]k=\pm\sqrt{16}[/tex]
Evaluate:
[tex]k=\pm 4[/tex]
Remember that we are told k>0. In other words, k must be positive. So, we can ignore the negative answer, giving us:
[tex]k=4[/tex]
So, the value of k is 4.
And we're done!
What is the density of Olivine? Mass = 20g; Volume = 6.15 cubic cm.
Round to TWO decimal places
Зr + 4 = 12 = Зr
What is the answer
Answer:
r = 8
Step-by-step explanation:
Solve for r:
r + 4 = 12
Subtract 4 from both sides:
r + (4 - 4) = 12 - 4
4 - 4 = 0:
r = 12 - 4
12 - 4 = 8:
Answer: r = 8
Write in standard form.
2.87 x 104
A.28,700
B. 0.000287
C. 2,870
D. 287,000
The general form of the number is 28,700. The correct option is A.
What is a standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
The given number is 2.87 x 10⁴. The general form of the number can be written as:-
2.87 x 10⁴ = 2.87 x 10000
2.87 x 10⁴ = 28700
Multiply 2.87 by 10000 we will get the general form 28700 for the number.
Therefore, the general form of the number is 28,700. The correct option is A.
To know more about the standard form of the number follow
https://brainly.com/question/17136267
#SPJ5
Describe the difference between the variance between samples MSB and the variance within samples MSW
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
Generally
[tex]MS_B[/tex] stand for Mean Square Between which the mean calculated based on the difference between the sample means
While
[tex]MS_W[/tex] stands for Mean Square Within which the mean calculated based on the difference between the elements within the set(group)
Thus
The [tex]MS_B[/tex] measures the differences related to the treatment given to each sample. The [tex]MS_W[/tex] measures the differences related to entries within the same sample.
a/b=c for b helpp!! please
A / b = c
Multiply both sides by b
A = bc
Divide both sides by c
A / c = b
Tricia starts school at 7am and has lunch at 12pm. She wants to make sure she has something to eat in between. Determine what time she should eat her snack if she is to eat at exactly a time between starting school and eating lunch.
I say she eats around 10:30 or whenever she feels like it, but go with my first answer.....
A turtle was swimming 2 feet below the surface of a pond. While looking for food, he went
down 7 more feet
What is the position of the turtle now relative to the surface of the pond?
Answer:
-9 feet
Step-by-step explanation:
The turtle was already at -2 feet below sea level, then the turtle went 7 more feet down. Which means that -2 +7 = -9