Step-by-step explanation:
Start by squaring both sides
cosA+sinA=[tex]\sqrt{2}[/tex]
[tex]cos^2A+2cosAsinA+sin^2A=2[/tex]
Apply Trig identity
[tex]cos^2x+sin^2x=1[/tex]
2cosAsinA+1=2
2cosAsinA=1
Apply Trig Identity
2cosxsinx=sin(2x)
sin(2A)=1
2A=arcsin1
arcsin(1) is a known value [tex]\frac{\pi }{2}[/tex]
2A=[tex]\frac{\pi }{2}[/tex]
A=[tex]\frac{\pi }{4}[/tex]
[tex]\pi[/tex] [tex]radians=180^o[/tex]
A=[tex]\frac{180^o}{4}[/tex]=[tex]45^o[/tex]
4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
What is a quartic function with only two real zeros of x=0 and x=2?
Answer:
x² - 2x = 0
Step-by-step explanation:
a = 0 ; b = 2
x² - (a +b)x + ab = 0
x² - (0 +2 )x + 0*2 = 0
x² - 2x = 0
uh so im kind of in a hurry rn and need these 3 done, my brain isnt functioning and ive forgotten how to do this, an explanation would be fine but its not needed, 70 points to the person that can solve these!
Answer:
1: 25 3: 15.5
Step-by-step explanation:
1: divided 16 into 80, then multiplied 5 by 5.
3: found the simplified version of 120:20, it was 6:1, then I divided 6 into 93.
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answer:
it would be y=|x+6|
Can someone help me with this question will mark brainliest.
Answer:
A:use SAS to show triangle PRQ is congruent to triangle SR.P
American society is made up of people of the same cultural background.
Please select the best answer from the choices provided
T
F
Answer:
false
Step-by-step explanation:
Write numbers in the number grid to make it correct. 4 9 35
A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0. 4 hours. James thinks that he and his four friends are more skilled than the average gamer because it took them an average of only 2. 5 hours. Which of the following is the most restrictive level that would validate his claim? Upper-Tail Values a 5% 2. 5% 1% Critical z-values 1. 65 1. 96 2. 58 1% 2. 5% 5% 10%.
Answer:
1%
Step-by-step explanation:
0.4X2.5=1
The hypotenuse of a right triangle measures 9 cm and one of its legs measures 4 cm. Find the measure of the other leg.
Answer:
The other leg is √65 cm
Step-by-step explanation:
Hi there!
We are given that the hypotenuse of a right triangle measures 9 cm, and one of the legs measures 4 cm
We want to find the measure of the other leg
In right triangles, we can use the theorem to find the value of a side, if we know the lengths of the other two sides
The formula for the Pythagorean theorem is a²+b²=c², where a and b are legs, while c is the hypotenuse
If we say a is 4 and c is 9, then the equation will look like this:
(4)²+b²=(9)²
Raise each number to the second power
16 + b²= 81
Subtract 16 from both sides
b²=65
Take the square root of 65
b=√65, -√65
-√65 is not an applicable root for this problem, since distance cannot be negative
Hence, our answer is √65 cm
Hope this helps!
Anyone can help me please angone
Answer:
x is 154 degrees
Step-by-step explanation:
If a line cuts through a set of parallel lines, it is called a transversal.
x and the angle next to 26 degree angle would be corresponding angles.
If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees
x+26 = 180
x = 180-26
x = 154
How much do you need to subtract from 53 over 6 to make 8
Answer:
Step-by-step explanation:
Think about how this question is written out mathematically.
5/36−x=8
You’re looking for x.
When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.
53/6−8=x
In simple fraction form 8=8/1
But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1
In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.
Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6
Now that we have common denominators, we can subtract.
53/6 - 48/6
= 5/6
To check:
53/6 - 5/6 = 48/6
48/6 = 8
question:To make a certain shade of paint, Anya mixed 2/3 cups of white paint with 2 2/3 cups of blue paint
How many cups of blue paint should she mix with 3 cups of white paint to make the same shade?
Step-by-step explanation:
2/3 cups white paint mix with 2 2/3 cups = 8/3 cups blue paint.
so, 2/3 / 8/3 = 2×3 / 3×8 = 6/24 = 1/4.
therefore, the mix ratio white/blue paint is 1/4 (1 part white, 4 parts blue).
so, for 3 cups of white paint we need 3×4 = 12 cups of blue paint.
HELP PLS ASAPPPPP AHH
Answer:
25021/50 ft.
Step-by-step explanation:
Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft
More Explanation on Rational Numbers:
Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.
For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.
Irrational numbers are the numbers which can not written as fraction and they are non-terminating .
For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.
Have a great day! :D
dose anyone know how to solv ethis??
no[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Instantaneous velocity of particle at 2 minutes is ~
[tex]1 \: \: m/s[/tex]Refer to the attachment for solution ~
please help this is a hard question and i just cant figure it out
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
I don’t understand can someone tell me the answer
Answer:
12>x>10
Step-by-step explanation:
-25<-3x+5
-3x+5<-31
2. The number of male teachers is 2/3 of the number of female teachers in a school. If there are 75 teachers altogether, how many more female teachers than male teachers are there?
Answer:
15
Step-by-step explanation:
Because the male teacher number is 2/3 of the female teachers, we can count the female teacher number as 3/3. and since we have a ratio of 2/3 to 3/3 we can take out the 3 and think of it as 2 to 3. Since it is 2 to 3, we have 5 in total and you can divide 75 by 5 which will get you 15 (how many teachers per unit in the ratio) and if you multiply 15 by 2, you will get the male teacher number which is 30, and when you multiply 15 by 3, you will get the female teacher number which is 45, and when you subtract them, you will get 15 more female teachers.
Hope it helped!
There are 15 more female teachers than the male teachers.
What is equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
Given that, The number of male teachers is 2/3 of the number of female teachers in a school and there are 75 teachers altogether,
Let there be 6x female and 4x male teachers in the school,
Establishing the equation,
6x + 4x = 75
10x = 75
x = 7.5
Number of more females = 6x-4x = 2x = 2(7.5) = 15
Hence, there are 15 more female teachers than the male teachers.
For more reference on equations, click;
https://brainly.com/question/29657983
#SPJ2
Gina places biscuits in a circular pan in the fashion shown below. What is the area of the pan not covered by a
biscuit if the diameter of each biscuit is 2 cm? Use 3.14 for pi.
A. 6.28 cm2
B. 113.04 cm2
C. 3.14 cm2
D. 21.98 cm2
E. 28.26 cm2
Answer:
that isnt the full question like what is the area of the pan and stuff
Step-by-step explanation:
what is the equation of the blue line? (see photo)
Answer:
y= -x-1
Step-by-step explanation:
(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)
y=mx+b
m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1
Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.
y=mx+b
0=(-1)(-1)+b
0=1+b
0-1=1-1+b
b=-1
Then substitute b and m to get the equation.
y=(-1)x+(-1)
y= -x-1
The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.
Answer:
ui100
Step-by-step explanation:
125
The temperature of a pan of water on the stove after 5 minutes would be 40°C.
What is temperature?Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.
The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.
We need to find the temperature after 5 minutes.
Rate of temperature per minute = 8°C
Rate of temperature after 5 minutes = 8°C × 5
= 40°C
Therefore, the temperature after 5 minutes would be 40°C.
Learn more about temperature;
https://brainly.com/question/11464844
2 questions for more a lot of points
Answer:
3 or 4
Step-by-step explanation:
Looking for help pleaseeee
Answer:
an = a(n-1) -4
Step-by-step explanation:
From the table we see that
a1 = 15 , a2 = 11, a3 = 7 , a4= 3, a5 = -1...
Notice the numbers decrease by 4 so
a2 = a1 -4
a3 = a2 -4
a4 =a3 -4
a5= a4-4
generalized we will have
an = a n-1 -4
Can somebody please help me and tell me how did you get the answer please thank you!!!
Answer:
10
Step-by-step explanation:
(6x-5)+(12x+5)=180
18x=180
x=10
HelloZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
HI!!!
Step-by-step explanation:
You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?
Answer:
If you were to cut it in half (3.5 x 2)
The answer would be 7
Step-by-step explanation:
a box is shaped like a cube.the box a length of 1 foot, a width of 1 foot and a height of 1 foot. what is the volume of the box
Answer:
1 ft^3
Step-by-step explanation:
Answer:
1 ft^3
Step-by-step explanation:
Volume = Length x Width x Height, so 1x1x1. For volume ft would be cubed.
How to write in Simplified slope intercept form
Answer:
y = -5/3x + 8
Step-by-step explanation:
So the y - intercept is 8 and from that point the line goes down by 5 and right by 3.
125 divided by 15 °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
Answer:
8.3(3333333333333333)
Step-by-step explanation:
what is half of 56 ft or 56 mm
Do you want the half of 56 ft or 56 mm? In both the case, you'll get the same value...you just need to change the unit.
Half of 56 ft
= ½ × 56
= 56/2
= 28 ft
Half of 56 mm
= ½ × 56
= 56/2
= 28 mm
_______
Hope it helps ⚜:))
I need help :) pls help me:)
Answer:
A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.
Step-by-step explanation:
not the answer for that but ig this can help u mwa
Answer:
12.15-13.00 is 15 mins
13.00-13.30 is 30 mins
Answer-45 mins