============================================
Explanation:
Since we have an isosceles right triangle, the the length of the hypotenuse (let's call it y) is equal to sqrt(2) times the leg length x.
In other words, [tex]y = x*\sqrt{2}[/tex]
If we replaced y with 3*sqrt(2), then we could say,
[tex]y = x*\sqrt{2}\\\\3\sqrt{2} = x*\sqrt{2}[/tex]
in which we can see that x = 3 must be the case. Or you could divide both sides of that last equation by sqrt(2) to find x = 3.
-------------------------
Another method:
We'll use the pythagorean theorem
[tex]a^2+b^2 = c^2\\\\x^2+x^2 = \left(3\sqrt{2}\right)^2\\\\2x^2 = 3^2*\left(\sqrt{2}\right)^2\\\\2x^2 = 9*2\\\\2x^2 = 18\\\\x^2 = 18/2\\\\x^2 = 9\\\\x = \sqrt{9}\\\\x = 3\\\\[/tex]
We get the same answer as before.
Fastest answer will be declared the brainliest
Answer:
All whole numbers are rational numbers.
False
All integers are whole numbers.
True
There are integers that are not rational numbers.
True
There are whole numbers that are not integers.
True.
What kind of shape will you see if you cut a cross section parallel to the base of a cylinder
Answer:
Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base
Answer:
The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
Anyone Answer Please
Answer:
shift of 6 units left
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
f(x) = 3 | x + 6 | + 9
Represents a horizontal shift of the parent function 6 units left
Apples are cut into 8 pieces to be shared among some children. Twenty-two bags of seven apples are used. How many pieces of apple are cut?
Answer: 1232 pieces
Work Shown:
1 bag = 7 apples
22 bags = 22*7 = 154 apples
So we have 154 apples to work with in total.
Each of those apples is cut into 8 pieces, giving us 8*154 = 1232 pieces
We can write it as one single calculation to say 22*7*8 = 1232
PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
Answer:
9.89949 or 9.9
Step-by-step explanation:
7^2 + 7^2 = c^2
49+49=98
square root of 98 = 9.89949
Find the area of this circle. Use 3 for .
A = r2
12 cm
[?] cm2
Answer:
452.16 cm²
Step-by-step explanation:
Given :-
Radius = 12cm .To find :-
Area of circle .Solution :-
As we know that ,
A = πr² A = 3.14 * (12 cm)² A = 3.14 * 144cm² A = 452.16 cm²Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times {12}^{2} \\ = \pi \times 144 \\ = 3.14 \times 144 \\ = 452.16 {cm}^{2} \\ thank \: you[/tex]
what is the probability of choosing a green marble from a jar containing five red, 6 green, and four blue marbles
Answer:
6/15
Step-by-step explanation:
add all the marbles up and you get 15
6 green ones out of 15 marbles
Answer:
2/5
Step-by-step explanation:
6 green+5 red+4 blue = 15 marbles
P(green) = number of green/ total
= 6/15 = 2/5
There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to the school forming a crew team and 1/8 of the remaining students (not sophomores) are also opposed to forming a crew team, how many students are in favor of this idea?
Answer:
4
Step-by-step explanation:
2/5*3000 = 1200 seniors
then
3000 - 1200 = 1800 students not seniors
therefore
4/5* 1200 = 960 do not like rock climbing
and
9/10** 1800 = 1620 also do not like it:
"how many students are in favor of this idea?"
subtract the "don't likes" from 3000
3000 - (960+1620) = 420 like rock climbing:
3x-x+2=4
Step-by-step explanation:
here's the answer to your question
What is the value of the expression below when w=2 and x=2
9w - x
Here, all we need to do is subtitute w = 2 and x = 2 into the expression, by multiplying and adding. First, we will muliply 9w:
9w
9 · w =
9 · 2 =
18
Now, all we have to do is use our answer for 9w, and subtract x from it:
9w - x
18 - (2) =
18 - 2 =
16
So, our answer is 16.
Let me know if you have any other questions! :)
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Solve for x: -5 < 8x + 11 < 19
Answer:
-2<x<1
Step-by-step explanation:
-5 < 8x + 11 < 19
Subtract 11 from all sides
-5-11 < 8x + 11-11 < 19-11
-16 < 8x<8
Divide by 8
-16/8 < 8x/8 <8/8
-2<x<1
Question 2 Evaluate the expression 2(x - 3) + 3y when x = 5 and y = 3. Mark the correct answer.
A. 13
B. 15
C. 16
D. 25
Answer:
A. 13
Step-by-step explanation:
2(x - 3) + 3y
2(5 - 3) + 3×3
2× 2 + 3×3
4 + 9
13
Answer:
The correct answer is A
Step-by-step explanation:
2(x-3) + 3y so you replace them and get 2( 5 - 3) +3(3)
next,
you would solve it
2 x 5 and 2 x 3 you get 10-6 + 9, the 9 is from multiplying 3 by 3
finally you solve it
10-6 = 4 +9
= 13!
I need help make sure to round it to the nearest 10th
Answer:
10.52
Step-by-step explanation
what is the electrical work done in a circuit
Answer:
a open and close switch and a condentation out put.
Mr.Swanson drove 150 miles in 4 hours how many miles will he drive in 1 hour
Answer:
37.5 miles
Step-by-step explanation:
Distance covered in 4 hours = 150 miles
Distance covered in 1 hour = 150/4 = 37.5 miles
find the area of the following composite figure
plz help me to slove this
Answer:
50
Step-by-step explanation:
= 3^3 + (2 x 2 x 3) + 2^2 + ( 3 + 2)^5
= 3^3 + (12) + 2^2 + (3 + 2)^5
= 3^3 + 12 + 2^2 + (5)^5
= 9 + 12 + 2^2 + 5^5
= 9 + 12 + 4 + 5^5
= 9 + 12 + 4 + 25
= 50
The Boeing777-300ER flies between Auckland and Los Angeles. It has 246 Economy
class seats, 50 Premium Economy seats and 44 Business Premier seats. Out of the 340
seats in total, what percentage are Economy seats?
Answer:
72.35%
Step-by-step explanation:
246/340 = .723529
Just multiply it by 100 to get the percentage
.723529 x 100 = 72.3529
find x. A. 21√2 B. 7 C. 21√3 over 2 D. 21√2 over 2
Answer:
D
Step-by-step explanation:
for you to find x you first have to find the adjacent of the 45° angle you can do that by using the other triangle.using the sin ratio
sin60=opposite/hypotenuse
sin60=a/7√3
a=10.5
then after you have found the adjacent you can use the cos ratio
cos45=adjacent/hypotenuse
cos45=10.5/x
cos45x/cos45=10.5/cos45
x=14.849
which is the same as 21√2 over 2
I hope this helps
Answer:
D
Step-by-step explanation:
Using sine ratio in left right angled triangle to find the altitude a of the large triangle which is common to both right triangles and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 21 ( divide both sides by 2 )
a = [tex]\frac{21}{2}[/tex]
Using the cosine ratio in the right side triangle and the exact value
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{a}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
x = [tex]\sqrt{2}[/tex] a = [tex]\sqrt{2}[/tex] × [tex]\frac{21}{2}[/tex] = [tex]\frac{21\sqrt{2} }{2}[/tex] → D
Factorize no g, h, j, k, m, n
answer =
=3a²-16ab+13b²
=3a²-(13+3)ab+13b²
=3a²-13ab-3ab+13b²
=a(3a-13b)-b(3a-b)
=(3a-13b)(a-b)
Answer:
even I got confused in question no. j
no worry rest all are solved .
all the questions are solved by middle term splitting method .
Not looking for answer but does anyone know this specific topic in math
Answer:
This is called system of equations.
Step-by-step explanation:
This combines two equations and then lines them up to a system.
Answer:
Step-by-step explanation:
matrix
or
vector geometry
1/5 of a certain number is added to 5½ the same as when ⅙ of the number that is subtracted from 30⅖find the number
Step-by-step explanation:
1%2F5n + 51%2F5 = 302%2F5 - 1%2F6n
make the 3rd term an improper fraction
1%2F5n + 51%2F5 = 152%2F5 - 1%2F6n
multiply equation by 30, cancel the denominators, resulting in:
6n + 6(51) = 6(152) - 5n
6n + 306 = 912 - 5n
6n + 5n = 912 - 306
11n = 606 is the number
n = 606/11
n = 55 1/11
Answer:
68
Step-by-step explanation:
let unknown number be x
⅕x + 5½= 30⅖ - ⅙x
⅕x + 11/2= 152/5 - ⅙x
collect like terms
⅕x+⅙x= 152/5 - 11/2
[tex] \frac{11}{30}x = \frac{249}{10} [/tex]
cross multiply
30 * 249=(11 * 10)x
7470=110x
x=7470/110
x= 68
Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)
Answer:
Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky
Step-by-step explanation:
which is the graph of g(x) = sqrt x-16
Answer:
Step-by-step explanation:
I am not sure if you are asking for the graph of
√(x-16) that has a x intercept at (16,0)
or
√ x -16 that has a y intercept at (0, -16)
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
which inequality is represented on the number line shown?
Answer:
A
Step-by-step explanation:
b/ of shaded region can make to closed inequality & it's not closed to make open inequality.
Someone help me on this, thats my illustration for it its a lil long
The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.
We have this given info:
A = 25a = 13.2b = 25.5Let's use the law of sines to find angle B
sin(B)/b = sin(A)/a
sin(B)/25.5 = sin(25)/13.2
sin(B) = 25.5*sin(25)/13.2
sin(B) = 0.81642164
B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)
B = 54.72817392 or B = 180 - 54.72817392
B = 54.72817392 or B = 125.27182608
When rounded to the nearest whole degree, we get B = 55 or B = 125.
However, I'll use the slightly more accurate values of B for the next two sections.
---------------------------------------
Let's consider the case that B = 54.72817392
This would have to mean
A+B+C = 180
C = 180-A-B
C = 180-25-54.72817392
C = 100.27182608 which rounds to C = 100
Through the law of sines we can say
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(100.2718 2608)*13.2/sin(25)
c = 30.73327084 which rounds to c = 30.7
One solution is
A = 25, B = 55, C = 100
a = 13.2, b = 25.5, c = 30.7
As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.
---------------------------------------
Now we'll consider the case that B = 125.27182608
We follow the same steps as the previous section
A+B+C = 180
C = 180-A-B
C = 180-25-125.27182608
C = 29.72817392 which rounds to C = 30
and
c/sin(C) = a/sin(A)
c = sin(C)*a/sin(A)
c = sin(29.72817392)*13.2/sin(25)
c = 15.48842618 which rounds to c = 15.5
The other solution is
A = 25, B = 125, C = 30
a = 13.2, b = 25.5, c = 15.5
Check out the diagrams below.
Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.
Answer:
g(x) has the larger slope.
Step-by-step explanation:
f(x) = 4x + 2
- so its slope = 4. ( from general form y = mx + c where m = slope).
The slope of g(x) = (3 - (-2) / (1 - 0)
= 5.
9/7 = please answer me
Answer:
[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]
Round 332.749 to:
tens
and
hundredths
Answer:
To the nearest ten, 330 would be the answer
To the nearest hundredth, the answer would be 332.75
Step-by-step explanation:
I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)
