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
Find the intercepts of the equation.
4x + 7y = - 84
To find the x and y intercepts, we have to plug 0 into x and y respectively.
4(0) + 7y = -84
Simplify.
7y = -84
Divide both sides by 7
y = -12
The y-intercept = (0, -12)
4x + 7(0) = -84
Simplify.
4x = -84
Divide both sides by 4
x = -21
The x-intercept = (-21, 0)
Two children of a sandwich.How much will each child get
Answer:
This is a Guess Each child gets Half of the Sandwich.
Step-by-step explanation
Which of the following can be represented by the equation y=2x
Answer:
table a
Step-by-step explanation:
because just look
Jessica walks 7 times as far to school as Taylor does . Jessica walks 5 miles. How many miles does Taylor walk?
Answer:
Step-by-step explanation:
Jessica: 5 miles
Taylor: 5/7 = .7143 miles
find the solution to the following equation
3X+5X/x+2=5x
Answer:
x=7/2
Step-by-step explanation:
find the distance between points J(13,2) and K(7,10)
Answer:
10
Step-by-step explanation:
√(13 – 7)^2 + (2 – 10)^2
√(6)^2 + (-8)^2
√36 + 64
√100
10
7. In name the bisected angles 1 and 2. If is 4x 3y, can be determined in terms of x and y? If so, state in terms of x+ y expression and explain your reasoning.
Answer:since there is no diagram i will answer to the best of my ability.
Step-by-step explanation:
If an angle is bisected then it is divided into 2 equal angles which i think they are naming 4x and 3y. In this case, 4x=3y. Solving for x, we get x= (3y)/4. Solving for y we get y= (4x)/3. Now if we substitute (4x)/3 for y in the equation x= (3y)/4 then x= (3(4x)/3)/4 = 4x/4=× so then we can say x÷y = measure of original angle that was bisected. Or znother way it can be said is x+y = 2x or x+ y =2y.
If k(x)=5x-6, which expression is equivalent to (k+k)(4)
Answer: (k+k)(4)=28
Step-by-step explanation:
(k+k) (4) means the same as adding k(4) and k(4). Since we are given k(x), we can use it to solve. There are two ways to solve. One is to find k(4), and then add them. Another way is to do (k+k)(x), then plug in x=4. I will show both methods.
Method 1
k(4)=5(4)-6 [multiply]
k(4)=20-6 [subtract]
k(4)=14
(k+k)(4)=14+14 [add k(4) and k(4)]
(k+k)(4)=28
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Method 2
(k+k)(x)=5x-6+5x-6 [combine like terms]
(k+k)(x)=10x-12
(k+k)(4)=10(4)-12 [plug in x=4, multiply]
(k+k)(4)=40-12 [subtract]
(k+k)(4)=28
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Now, we know that (k+k)(4)=28. We confirmed this with both methods.
Which statements about opposites are true?
Answer:
The opposite of a negative number is always positive.
Step-by-step explanation:
Answer:
Opposites always have the same absoulute value.
Step-by-step explanation:
^^^^ I don't fully know what type of question you are asking but here is my answer ^^^^
What multiplication fact can help you find 7/7
Answer:
The rule of Identity. X*1=X.
Divide both sides by x, and you get
X/X = 1
Algebra with pizzza pg 55 can anyone solve for 100 points
please help me quick ill give brainliest
Answer:
23/99
Step-by-step explanation:
nearly any number /9 or /99 or /999 etc is a repeating decimal.
Answer:
23/99
Step-by-step explanation:
9/8=1.125
23/99≈0.232
9/20=0.45
3/40=0.075
hope this helps
12, 60, 300, ...
Find the 9th term.
Which inequality best represents the Domain of the part show ?
a) y_>4.5
b) x_>4.5
c) y_> -2
d) x_>-2
Answer: D) [tex]x \ge -2[/tex]
==================================================
Explanation:
The domain is the set of all allowed x inputs.
The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.
The largest input has no restriction since it grows forever toward the right (due to the arrow).
So we say that x can be -2 or larger meaning [tex]x \ge -2[/tex] is the domain.
-----------------
Extra info:
In interval notation, the domain would be [tex][-2, \infty)[/tex] to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.
Solve the following inequality 90 > 10x + 80
Answer:
x<1
Step-by-step explanation:
10x + 80 < 90
10x < 90 - 80
10x < 10
x < 1
2x = 14
Help please I am stuck how do I check this?
Answer:
x=7
Step-by-step explanation:
Lifelike Studios charges a one time sitting fee to take your photograph, then adds 50 cents for each photograph you order. Based on the information given in the graph, how much does Lifelike Studios charge for the sitting fee?
-3(-18)-y=56
help >_
Answer:
y = -2
Step-by-step explanation:
Step 1: Define
-3x - y = 56
x = -18
Step 2: Substitute and solve for y
-3(-18) - y = 56
54 - y = 56
-y = 2
y = -2
Answer:
y=-2
Step-by-step explanation:
this is because if you multiply -3 by -18 you get 54 and 56-54 is 2 so -y is 2
How hard is 6th grade math?
Answer:
super easy i can help you whenever
Step-by-step explanation:
im in high and i had As in 6th
Answer:
a little hard you just have to understand it
Step-by-step explanation:
Kameron has 9 video games at his house. This is half as many games as Kevin has. Write an equation that demonstrates the relationship between how many games kameron and Kevin have.
Answer:
The answer is 18
Step-by-step explanation: Because 9 + 9 = 18 so therefore Kameron and Kevin has 27 video game in total :/
HELP WILL GIVE BRAINLIEST!!Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.
12 + 0.60 x less-than-or-equal-to 50
What is the greatest number of bracelets she could buy?
Answer:
The greatest number of bracelets she can buy is 63.
Step-by-step explanation:
12 + 0.60x ≤ 50
Since we already have the inequality, we have to start picking random numbers(until there are no more solutions):1.) 12 + 0.60(63) ≤ 50
12 + 37.8 ≤ 50
49.8 ≤ 50
Since 49.8 ≤ 50 is always true, there are infinitely many solutions.
Now we know that she can buy 63 bracelets, we have to figure out if she can buy more:2.) 12 + 0.60(64) ≤ 50
12 + 38.4 ≤ 50
50.4 ≤ 50
Since 50.4 ≤ 50 is false, there is no solution.
Answer:
63
Step-by-step explanation:
did the test on edge
For what value of the variable will the expression 2b−3 be equal to the following: −11
Use cylindrical coordinates to evaluate the triple integral ∭ where E is the solid bounded by the circular paraboloid z = 9 - 16(x^2 + y^2) and the xy -plane.
Answer:
[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]
Step-by-step explanation:
The Cylindrical coordinates are:
x = rcosθ, y = rsinθ and z = z
From the question, on the xy-plane;
[tex]9 -16 (x^2 + y^2) = 0 \\ \\ 16 (x^2 + y^2) = 9 \\ \\ x^2+y^2 = \dfrac{9}{16}[/tex]
[tex]x^2+y^2 = (\dfrac{3}{4})^2[/tex]
where:
0 ≤ r ≤ [tex]\dfrac{3}{4}[/tex] and 0 ≤ θ ≤ 2π
∴
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} \int ^{9-16r^2}_{0} \ r \times rdzdrd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 z|^{z= 9-16r^2}_{z=0} \ \ \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} r^2 ( 9-16r^2}) \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} \int ^{\dfrac{3}{4}}_{0} ( 9r^2-16r^4}) \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( \dfrac{9r^3}{3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3r^3}-\dfrac{16r^5}{5}})|^{\dfrac{3}{4}}_{0} \ drd \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV = \int^{2 \pi}_{0} ( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) d \theta[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}}) \theta |^{2 \pi}_{0}[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =( 3(\dfrac{3}{4})^3}-\dfrac{16(\dfrac{3}{4})^5}{5}})2 \pi[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{64}}-\dfrac{243}{320}})2 \pi[/tex]
[tex]\iiint_E E \sqrt{x^2+y^2} \ dV =(\dfrac{81}{160}})2 \pi[/tex]
[tex]\mathbf{\iiint_E E \sqrt{x^2+y^2} \ dV =\dfrac{81 \ \pi}{80}}[/tex]
We say that E is an indicator functions for the event A if I = {1 if A occurs 0 if A^c occurs Find E[I]. Compare the indicator function to a Bernoulli random variable.
Answer:
Step-by-step explanation:
Bb
When x=-2, the value of y is
Answer:
emaybe
Step-by-step explanation:
e hopeA train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *A train traveled at a constant speed for six hours and traveled a distance of 408 miles. What is the best estimate of the number of miles the train could travel in 2.5 hours? *
What number must be added to 36 to obtain −17?
Please help!!! Thank you!
Answer:
C
Step-by-step explanation:
y=-2x+3
How many more dollars will you spend if you buy 12 cookies at Charlie’s Cookies instead of buy 12 cookies at Sam’s?
Sam’s cookies 6 $8.00 Charlie’s cookies 4 $7.00
Step-by-step explanation:
Sam's cookies = $16 for 12
Charlie's cookies = $21 for 12
$5 more when buying Charlies other than Sam's
is this a function yes or no??
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Step-by-step explanation:
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Linear function A and linear function B both have the same input values as shown below. Why will the output values for
linear function A always be different than the corresponding output values for linear function B?
Linear Function A
Linear Function B
х
1
3
5
7
9
y
3
7
11
15
19
х
1
3
5
7
9
у
4
8
12
16
20
O The initial values of the two functions are different, and the rates of change of the two functions are also different.
O The initial values of the two functions are differetly and the rates of change of the two functions are the same.
The initial values of the two functions are the same, and the rates of change of the two functions are different.
The initial values of the two functions are the same, and the rates of change of the two functions are also the same.
Answer:
The initial values of the two functions are different and the rates of change of the two functions are the same
Step-by-step explanation:
In order for output values to always be different, the two linear functions must describe parallel lines. That means the rates of change are the same, but the initial values are different.
Answer:
probably too late but the answer is B
Step-by-step explanation: