[tex]\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3[/tex]
[tex]\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0[/tex]
[tex]cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1[/tex]
The product of two and any nonzero integer is always _________.
Answer:
The product of two and any nonzero integer is always an even number.
Step-by-step explanation:
Example:
2 * 17 = 34
2 * 15 = 30
2 * 30 = 60
All of these are even numbers.
The product of two and any nonzero integer is always an even integer.
What are integers?"It is a natural number numbers along with zero and negatives."
Z = . . ., -3, -2, -1, 0, 1, 2, 3, . . .
What is even integer?"An integer which is divisible by 2."
For given example,
Let a = 2 and 'b' be any nonzero integer.
Case 1: 'b' is positive even integer
Let b = 4
⇒ a × b = 2 × 4
⇒ a × b = 8, which is an even integer.
Case 2: 'b' is negative even integer
Let b = -8
⇒ a × b = 2 × (-8)
⇒ a × b = -16, which is an even integer.
Case 3: 'b' is positive odd integer
Let, b = 9
⇒ a × b = 2 × 9
⇒ a × b = 18, which is an even integer.
Case 4: 'b' is negative odd integer
Let, b = -3
⇒ a × b = 2 × (-3)
⇒ a × b = -6, which is an even integer.
From above cases, we can observe that the product of 2 and any nonzero integer is an even integer.
Therefore, the product of two and any nonzero integer is always an even integer.
Learn more about integers here:
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Which relationship has a zero slope?
a²+b²=c²
5²+9²=c²
25²+81²=c²
106=c²10.2
5
the expression (x^2-1)^-2/3 is equivalent to
Answer:it’s x
Step-by-step explanation:
Sry if I’m wrong
please i need help, right now!!! i give the person the brainliest answer!! im giving 15 points… please help
Answer:
Ummmm its just a black screen
Step-by-step explanation:
Name a pair of adjacent angles and a pair of vertical angles in the figure
Answer:
Adjacent: <ABC and <CBD
Vertical: <ABC and <EBD
Step-by-step explanation:
Adjacent angles: Angles that share one ray.
Vertical Angles: Opposite angles created by the intersection of two lines.
Hope this helps!!
Can someone help me out
Answer:
4 (100-250 words with a 100-word minimum)
If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?
Step-by-step explanation:
f is (x+1)-1
and g (the next letter in the alphabet) is x-2
first for f
x+1-1 = x
Then we -2 for g
So every letter there o words is just 2 less than the previous letter like
h would be h= x-4
so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number
Please answer!!!!! 100% sure will mark as brainlist
question: In the given figure ABCD is a parallelogram Find x
Answer:
x=3
Step-by-step explanation:
5x-1=3x+5(opposite sides of a parallelogram is equal)
5x-3x=5+1
2x=6
x=6/2
x=3
therefore the value of x is 3
Answer:
Step-by-step explanation:
So in a parrelelagram, we know that the top and bottom side are equivelent in length.
This is the same with the left and ride side as well.
So knowing this, we can solve x by setting up this equation:
5x-1=3x+5
This works because we know both sides are equvlent, but have different x values and number values.
Lets start solving:
5x-1=3x+5
First lets move all the numbers to one side:
5x=3x+6
Now lers get the variable to one side:
2x=6
Now divide both sides to get x alone"
x=3
This is your answer!
Hope this helps!
please find Area of triangle
Answer:
60
Step-by-step explanation:
Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.
Please help test tomorrow everything you need is in the photo below
Answer:
yes
Step-by-step explanation:
Which linear equation best fits the data ?
Answer:
[tex]{ \tt{slope = \frac{2 - 1.5}{40 - 60} }} \\ = - 0.025 \\ \\ { \tt{y = mx + c}} \\ 2 = ( - 0.025 \times 40) + c \\ c = 3 \\ { \bf{ y = - 0.025x + 3}}[/tex]
1.en cada unos de los siguientes monomios identificó el coeficiente y la parte literal , halló el grado y el valor numérico para los valores . ×=3,Z =5. (a) 3ײ (b) 4ײ y (c) - 5ײy²z².
porfa me ayudan
roatate triangle p 90* clockwise about the point (2,-1)
Answer:
hope this helps
Step-by-step explanation:
IF THE INTEGERS IS 12,-6,8,-5,7,-4,3 ARE MARKED ON THE NUMBER LINE, THE ONE THAT COMES ON THE EXTREME LEFT
Answer:
- 6
Step-by-step explanation:
Given the integers : 12,-6,8,-5,7,-4,3
To obtain which one falls on the extreme left, the integers are arranged in ascending order, and the least value is chosen as this is the number which falls to the extreme left of arranged on a number line.
Ordered value in ascendibg order :
-6, -5, -4, 3, 7, 8, 12
The value which will. Fall. On the extreme left is : - 6
HELP WILL GIVE BRAINLIEST SHOW WORK LOOK AT IMAGE
Answer: -9/2
Step-by-step explanation:
Answer:
x = -9/2
Step-by-step explanation:
Use the law of exponents
(a^p)^q = a^(pq)
here on the left-hand-side
a=3
p=3
q=2x+6
so
(a^p)^q = (3^3)^(2x+6) = 3^(3(2x+6)) = 3^(6x+18)
The right-hand-side = 3^(2x)
Equate exponents of both sides
6x+18 = 2x
6x-2x = -18
4x = -18
x = -9/2
Triangle PQR is similar to triangle XYZ. The length of PQ is one-half the length of XY. THe length of RP is 2 cm. Which proportion can be used to find the length of ZX?
Answer:
[tex]ZX = 4cm[/tex]
Step-by-step explanation:
Given
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex]
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
Required
Find ZX
[tex]\triangle PQR[/tex] similar to [tex]\triangle XYZ[/tex] implies that, the following sides are similar
[tex]PQ \to XY[/tex]
[tex]QR \to YZ[/tex]
[tex]RP \to ZX[/tex]
To find ZX, we make use of the following equivalent ratio
[tex]PQ : XY = RP : ZX[/tex]
Where
[tex]PQ = \frac{1}{2}XY[/tex]
[tex]RP = 2cm[/tex]
So, we have:
[tex]\frac{1}{2}XY : XY = 2cm : ZX[/tex]
Express as fraction
[tex]\frac{\frac{1}{2}XY }{ XY }= \frac{2cm }{ ZX}[/tex]
[tex]\frac{1}{2}= \frac{2cm }{ ZX}[/tex]
Make ZX the subject
[tex]ZX = 2 * 2cm[/tex]
[tex]ZX = 4cm[/tex]
What is the value of the expression 1/3x − 3/4 when x = 1/4?
can you guys help me please!
Answer:
Step-by-step explanation:
NEED HELP ASAP PLS
10. Jimmy was a busboy and makes 7.15 per hour. Ashley is a server and makes 3.40 per hour plus about $105 in tips per week. how many hours would they have to work to make the same amount?
Answer: 28 hours
Step-by-step explanation:
1. Write original equation: 7.15x=3.40x+105
2. Combine like terms to isolate x: 3.75x=105
3. Divide both sides by same amount to find x: x=28
They would have to work 28 hours to earn the same amount of money.
Explain please thank you
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
Answer: The answer is y= f(x+1)+5
Step-by-step explanation: The reason is that when you are translating the graph, the information in the parenthesis (In this case: (x+1)) is always on the x axis moving either left or right. You just go one in the opposite direction of what the sign is, so since the sign in the parenthesis is "+" you would go left in the opposite direction. Then, for the upward translation, you would have to move 5 units upward and this is done by just adding five to the end of it.
At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
Answer:
8d + 6b = 55
2d + 9b = 32.50
Step-by-step explanation:
let 'd' = # dog bowls
let 'b' + # bones
Rhonda: 8d + 6b = 55
Kelly: 2d + 9b = 32.50
we can multiply Kelly's equation by -4 to eliminate the 'd' terms:
Kelly: -4(2d + 9b) = 32.5(-4)
-8d - 36b = -130
now add the above equation to Rhonda's equation:
-8d - 36b = -130
+ 8d + 6b = 55
-30b = -75
b = 2.50
now we can use either equation and substitute 2.5 for 'b' to find 'd'
2d + 9(2.5) = 32.5
2d + 22.5 = 32.5
2d = 10
d = 5
evaluate the function for x = -8.
f(x) = -2x - 12
Answer:
4
Step-by-step explanation:
f(-8)=-2(-8)-12
f(-8)=16-12
=4
Blue
A bowl contains:
• 3 red erasers
• 4 blue erasers
.6 green erasers
• 7 pink erasers
An eraser will be drawn from
the bowl and replaced 50 times.
What is a reasonable prediction
for the number of times a green
eraser will be drawn?
Answer:
i think it will be chose 3 times
Step-by-step explanation:
im not sure thats my pridiction
Answer:
0.4
Step-by-step explanation:
Use the replacement set {3, 4, 9} to find the solution of the equation below.
3n−18=9
Answer:
[tex]n=9[/tex]
Step-by-step explanation:
[tex]3n-18=9[/tex]
[tex]3n+18=[/tex] +18
[tex]3n=27[/tex]
[tex]3(9)=27[/tex]
[tex]n=9[/tex]
factoring polynominaly
Answer:
Most of the question is missing. If you could type out the rest, we might be able to help you.
CAN SOMEONE PLEASE HELP ME??!!
Answer:
RO = 17.9
Step-by-step explanation:
If they're similar, the fraction between their sides need to be equal, so do this:
NK/NM = RO/RQ
71.6/64 = RO/16
71.6•16/64 = RO
RO = 17.9
Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?
Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]
Step-by-step explanation:
Given
Mr. Caldwell has 10 full pizzas and half of another one
he wants to distribute it in among 8 of his students
Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]
So, each student gets
[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]
that is 1 pizza and five-sixteenth part of a pizza.
For consumers making purchases online, 60% have devices made by Apple, 85% own a smartphone, and 75% use Venmo. Also, out of the smartphone users, 80% use Venmo. Assume that having a device made by Apple and owning a smartphone are independent. A consumer who makes purchases online is selected at random, what is the probability they have an Apple device or own a smartphone (or both)? Enter your answer as a decimal to two places, and include the leading zero. For example, 0.12 would be a valid format.
Answer:
The probability that a customer selected at random has an Apple device or own a smartphone or both is 0.94
Step-by-step explanation:
The percentage of costumers that have a device made by Apple = 60%
The percentage of customers that own a smartphone = 85%
The percentage of customers that use Venmo = 80%
The percentage out of the smartphone users that use Venmo = 80%
The probability both independent events A and B occurring = P(A) × P(B)
The exclusive probability of A or B occurring P(A XOR B) = P(A) + P(B) - 2 × P(A ∩ B)
Therefore, the probability of A or B or both occurring is given as follows;
P(A or B or Both) = P(A) + P(B) - 2 × P(A ∩ B) + P(A) × P(B)
Where A represent the percentage of costumers that have a device made by Apple and let B represent the percentage of users that have a smartphone, we have;
P(A or B or Both) = 0.6 + 0.85 - 2×0.6×0.85 + 0.6 × 0.85 = 0.94
Therefore, the probability that a customer selected at random has an Apple device or own a smartphone (or both), P(A or B or Both) = 0.94
How do you do this ?
Answer:
the answer is- g= 72/d minus f/d
