Answer:60 degrees
Step-by-step explanation:
60 degress
43 + 167 + 90 = 300
360 - 300 = 60
<!> Brainliest is appreciated! <!>
In simplest form what is 1/9 + 3 5/8
Answer:
There you go mate!
Step-by-step explanation:
Find x A. 46–√ B. 32 C. 43–√ D. 6–√
Answer:
[tex]\textbf{A. }4\sqrt{6}[/tex]
Step-by-step explanation:
The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.
The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.
[tex]x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}[/tex]
Can somebody plz help me
Answer: A
Step-by-step explanation:
2x²-2x-9=0
this is a quadratic equation so we will use the quadratic formula .
Δ= b²-4*a*c
b= -2a= 2c= -9let's calculate Δ to khow how many solutions this equations have .
Δ= (-2)²-4*2*(-9)
= 76
we notice that 76>0
so this equation has two solutions : (-b-√76)/4 and (-b+√76)/4
let's calculte the values : (-b-√76)/4= [tex]\frac{-2-\sqrt{76} }{4}[/tex] (-b+√76)/4=[tex]\frac{-2+\sqrt{76} }{4}[/tex]the trick here is to notice that :
[tex]\sqrt{76}[/tex] = [tex]\sqrt{19*4}[/tex]
= [tex]\sqrt{19} *\sqrt{4}[/tex]
= 2[tex]\sqrt{19}[/tex]
Now we will simplify Δ by factoring by 2
[tex]\frac{2*(-1(+/-)\sqrt{19} }{2*2}[/tex] = [tex]\frac{-1(+/-)\sqrt{19} }{2}[/tex]so the answer is a .
Glen got 48 out of 64 correct in his test. What fraction of the marks did he get wrong?
Answer:
16/64 i think
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Total Marks = 64
Correct = 48
Incorrect = 64-48
=> 16
Fraction of Incorrect Answers:
=> [tex]\frac{16}{64}[/tex]
In simplest form:
=> [tex]\frac{1}{4}[/tex]
Please answer this question fast in two minutes
Answer:
A
Step-by-step explanation:
There isn’t enough info provided
the sum of the ages of an uncle and nephew 2 years ago was 40.In 2 years time from now the age of the uncle will be 3 times that of his nephew by then.Find their ages now
Answer:
Uncle is 34. Nephew is 10.
Step-by-step explanation:
Let u equal the age of the uncle, and n equal the age of the nephew.
First, two years ago, the sum of their ages was 40. We can represent this by subtracting 2 from each variable. Thus:
[tex](u-2)+(n-2)=40[/tex]
[tex]u+n-4=40[/tex]
[tex]u+n=44[/tex]
Next, in two years time, the uncle will be three times as old as his nephew. We can represent this by adding 2. Thus:
[tex]u+2=3(n+2)[/tex]
We now have a system of equations and can solve accordingly.
First, from the first equation, we can determine that:
[tex]u=44-n[/tex]
We can substitute this into the second equation.
[tex](44-n)+2=3(n+2)[/tex]
[tex]46-n=3n+6[/tex]
[tex]40=4n[/tex]
[tex]n=10[/tex]
Thus, the nephew's age is 10.
And the uncle's age is 44-10 or 34.
Simplify the expression x5 • x7.
Answer:
x12
Step-by-step explanation:
When multipling numbers that are the same with exponent you can just add the exponents.
so x5*x7=x12
(It would be subtraction if there was division)
Hope this helped you and feel free to ask questions!
Answer:
x^12
Step-by-step explanation:
When multiplying exponents, the rule below is followed.
[tex]x^a * x^b= x^{a+b}[/tex]
Basically, the base remains the same, but the numbers in the exponents are added.
We are given:
[tex]x^5*x^7[/tex]
We leave the base (x)as is, and add the numbers in the exponents (5 and 7).
[tex]x^5*x^7\\[/tex]
[tex]x^{5+7[/tex]
[tex]x^{12}[/tex]
The expression [tex]x^5*x^7\\[/tex] can be simplified as: [tex]x^{12{[/tex]
The real numbers x and y are such that x + y &= 4 x^2 + y^2 &= 22 x^4 = y^4 - 176 \sqrt{7}. Compute x - y.
PLEASE HELP ASAP
Answer:
[tex]\large \boxed{\sf \ \ \ x-y=-2\sqrt{7} \ \ \ }[/tex]
Step-by-step explanation:
Hello,
it took me some time to understand the correct equations, I believe that you mean
[tex]x+y=4\\\\x^2+y^2=22\\\\x^4=y^4-176\sqrt{7}[/tex]
So let's play with these equations
[tex]x^4=y^4-176\sqrt{7}\\\\<=>y^4-x^4=176\sqrt{7}\\\\<=>y^4-x^4=(y^2)^2-(x^2)^2=(y^2-x^2)(y^2+x^2)=(y-x)(y+x)(x^2+y^2)\\\\=176\sqrt{7}[/tex]
So
[tex]x-y=-\dfrac{176\sqrt{7}}{(x+y)(x^2+y^2)}=-\dfrac{176\sqrt{7}}{4*22}=-2\sqrt{7}=-5.291503...[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Help please❤️ With at least some plzzz urgent
Answer:
a. A/B = 7/3
b. (p,q) = (4,0)
c. (p,q) = (0,2)
Step-by-step explanation:
We have the line as:
21x-6y-15 = 0
The general form of the equation of a straight line is;
y = mx + c
Where m is the slope and c is the y -intercept
writing the above in this manner, we have
6y = 21x -15
Now let’s divide through by 6;
y = 21x/6 -15/6
y = 7x/3 -5/3
Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3
Considering the equation;
3x + 6y = 12
Expressing in the general form, we have
6y = 12-3x
divide through by 6
y = 12/6 -3x/6
y = 2-0.5x
Now we want to find the x intercept. At the x-intercept, the value of y = 0
Thus 0 = 2-0.5x
0.5x = 2
x = 2/0.5 = 4
so (p,q) = (4,0)
For the y intercept
y = 2-0.5x
Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)
A lighthouse flashes a beam of light once every 3/5 of a minute. How many times does it flash a beam of light in half an hour?
Answer:
Total number of flash = 50 flash
Step-by-step explanation:
Given:
Time taken of a flash = 3/5 minute = 3/5 × 30 = 36 sec
Total time = 30 minute = 30 × 60= 1800 sec
Find:
Total number of flash in 30 minutes
Computation:
⇒ Total number of flash = Total time / Time taken of a flash
⇒ Total number of flash = 1800 / 36
⇒ Total number of flash = 50 flash
Six less than the quotient of a number and 4 is 15.
Answer:6 ÷ 4x = 15
Step-by-step explanation:
six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15
Answer:
x=84
Step-by-step explanation:
x÷4-6=15
x÷4=21
x=84
what is the slope of these lines that contain these points (-1,10) (1,2) (3,-6) (5,-14)
Answer:
-4
Step-by-step explanation:
y = -4x + 6 is the equation and -4 is the slope
BRAINLIEST! will give BRAINLY! can someone please explain, I don't understand how to do this.
Answer:
101.58 in
Step-by-step explanation:
The ramp r is the hypotenuse of a right triangle with the ground and 28 in height being the legs.
The angle of elevation 16° is the angle inside the triangle opposite the 28 in height.
Using the sine ratio in the right triangle, then
sin16° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{28}{r}[/tex] ( multiply both sides by r )
r × sin16° = 28 ( divide both sides by sin16° )
r = [tex]\frac{28}{sin16}[/tex] ≈ 101.58 in
Answer:
The 3rd answer
Step-by-step explanation:
I need help fast!!! pls help will mark BRAINLIEST
Answer:
the y intercept is same for both
Step-by-step explanation:
that is the only answer
Answer:
Last 2 choices
Step-by-step explanation:
Points on the graph:
(-2, 4) and (0, -4)
y=mx+bm= (y2-y1)/(x2-x1)=(-4-4)/(0+2)= -4y= -4x+bTo find b, using the first point
b= y+4x= 4-2*4= -4So the equation for the graph is:
y= -4x-4=============
1. The slope is positive. no, it is -4 for both
2. Lines are same, so answer is no
3. yes
4. yes
The demand function of blankets at COMESA is given by the equation P=60-2Q find the units of good Q ,when P=12 and use integration to calculate the consumer surplus
Answer:
a. 24
b. 864
Step-by-step explanation:
a. The demand function is:
P = 60 - 2Q
When P = 12:
12 = 60 - 2Q
2Q = 60 - 12
2Q = 48
Q = 48/2 = 24
b. Consumer surplus is given as the integral of Demand function:
[tex]CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\[/tex]
This implies that:
[tex]CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864[/tex]
SIMPLIFY: N10 over N2 PLEASE HELP!!!! ASAP!!!
Answer:
N^8.
Step-by-step explanation:
[tex]\frac{N^{10}}{N^2}[/tex] = [tex]N^{10 - 2}[/tex] = [tex]N^8[/tex]
Hope this helps!
A 20kg solution is 15% alcohol. How much water should I add to make an 8% alcohol solution?
Answer:
17.5 kg of water.
Step-by-step explanation:
The amount of alcohol in the 15% solution = 20*0.15 = 3kg.
If 3 kg is equivalent to 8% solution
then 100% is 3*100 / 8 = 37.5 kg.
So the amount of water to be added to make 8% solution = 37.5 - 20
= 17.5 kg.
PLEASE PLEASE PLEASE I BEG YOUWhich graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a coordinate plane, a v-shaped graph opens up. On a coordinate plane, a parabola opens to the right. On a coordinate plane, one curve opens to the left and another curve opens to the right.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.
It appears your only function is ...
On a coordinate plane, a v-shaped graph opens up.
Answer:
On a coordinate plane, a v-shaped graph opens up.
Step-by-step explanation:
Good luck everybody and have a great day :D
Please help me.I want an accurate answer and true answer.
Answer:
m∠x = 65°
m∠y = 81°
m∠z = 34°
Step-by-step explanation:
Since we have 2 transversals and a pair of parallel lines, we can see that at ∠A it equals 65°. If we use the Corresponding Angles Theorem, the m∠A = m∠x. Therefore, x = 65°
To find y, we know that a line is 180°. So, 180 - (65 + 34) = 81°
To find z, we know that all angles in a triangle add up to 180°. So, 180 - (81 + 65) = 34°. Alternatively to find z, we could use Alternate Interior Angles Theorem.
Which fraction is graphed ?
Answer: B is the correct choice
Step-by-step explanation:
The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.
The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.
The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.
Find the midpoint between the following points using the Midpoint
Formula (*
2
Solution
1. Given: (-10, 2) and (3,5), the midpoint is (
...
2. Given: (3, 6) and (7,6) the midpoint is (
Answer:
1 number ans (-3.5,3.5)
2 number ans(5,6)
Step-by-step explanation:
mid point formula is( X 1 + X 2 by 2 , Y1 + Y2 by 2 )
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth. Triangle Q R S is shown. Angle Q R S is 80 degrees. The length of Q R is 2.4 and the length of Q S is 3.1. Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction 2.2 units 2.4 units 3.0 units 3.3 units
Answer: 2.4 UNITS
Step-by-step explanation:
The sine rule :
Sine A / a = Sine B / b = Sine C / c
From the diagram attached :
QR = s = 2.4 ; QS =r = 3.1 ; RS =q =?
We need to find the angle RQS
using Sine rule :
Sine R / r = Sine S / s
Sin 80° / 3.1 = sin S / 2.4
0.9848077 / 3.1 = sin S / 2.4
Sin S × 3.1 = 0.9848077 × 2.4
Sin S = 2.3635386 / 3.1
Sin S = 0.7624318
S = Sin^-1(0.7624318)
S = 49.67°
Therefore, form using ;
A + B + C = 180° ( SUM of angles in a triangle)
SQR = 180° - (QRS + QSR)
= 180° - ( 80 + 49.67)° = 50.33°
Q = 50.33°
THEREFORE,
Sine Q / q = Sin S / s
Sin 50.33° / q = Sin 49.67° / 2.4
0.7697339 / q = 0.7623295 / 2.4
0.7623295q = 0.7697339 × 2.4
q = 1.84736136 / 0.7623295
q = 2.4233108
q = Segment RS = 2.4units
Answer:
B) 2.5 is the right answer
Step-by-step explanation:
i got 100%
Consider event A and event B. What is the probability that event B occurs, given that event A has already occurred? A. P(B A) P(A) ∙ P(B) B. P(B A) P(A) C. P(B A) P(B) D. P(B A) P(B)
Answer:B
Step-by-step explanation:
Can anybody help me solve this math problem?
Answer:
Step-by-step explanation:
It appears from our choices that this is a linear function, a line in the form
y = mx + b
We need to first find the slope. The 3 coordinates are (4, 66), (5, 77), (6, 88).
Using the slope formula twice to make sure this is in fact linear:
and between the next set of coordinates:
Since the slopes are the same, this is in fact linear. Using that slope along with 1 of the points in the point-slope formula for a line:
y - 66 = 11(x - 4) and
y - 66 = 11x - 44 and
y = 11x + 22, choice C.
y = 11x + 22
this is question What is the place value of the 8 in 4.328 (a)Thousands (b) Hundreds (c)Hundredths (d)Thousandths
Answer:
The answer is d
Step-by-step explanation:
The place value of the 8 is 8/1000 or 0.008 or 8 thousandths in 4.328.
What is the place value strategy?The place value of a digit is determined by the position of the digit relative to the decimal point. In a number with a decimal point, the digits to the left of the decimal point represent whole numbers, and the digits to the right of the decimal point represent fractions.
here, we have,
Each place to the right of the decimal point represents a fraction that is one-tenth the size of the place to its left. For example, the hundredth place is one-tenth the size of the tenth place, the thousandth place is one-tenth the size of the hundredth place, and so on.
In the number 4.328, 8 is in the thousandth place, which is the third place to the right of the decimal point.
Thus, the place value of the 8 is 0.008, or 8 thousandths.
Learn more about the place value strategy here:
brainly.com/question/654419
#SPJ2
Which of the following are roots of the polynomial function?
Check all that apply.
F(x) = x^3-6x^+7x-2
Answer:
C, D, and F
Step-by-step explanation:
The roots of the cubic polynomial are 1, (5+√17)/2, and (5-√17)/2 options (C), (D), and (F) are correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a cubic or third-degree polynomial:
F(x) = x³ - 6x² + 7x - 2
To find the all possible roots of the cubic polynomial
By using the trial and error method:
Plug x = 1
F(1) = 1 - 6 + 7 - 2
F(1) = 8 - 8
F(1) =0
x = 1 is one of the roots of the polynomial.
We can write the cubic polynomial in the factored form:
F(x) = (x - 1)(x² -5x + 2)
We have a quadratic polynomial:
= x² -5x + 2
To find the roots of the quadratic polynomial use the quadratic formula:
a= 1, b = -5, and c =2
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\rm x = \dfrac{-(-5) \pm\sqrt{(-5)^2-4(1)(2)}}{2(1)}[/tex]
After solving:
x = (5+√17)/2
x = (5-√17)/2
Thus, the roots of the cubic polynomial are 1, (5+√17)/2, and (5-√17)/2 options (C), (D), and (F) are correct.
Learn more about Polynomial here:
brainly.com/question/17822016
#SPJ5
Module 6 What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?
Answer:
zero residual equals zero mean
A line of best fit is a straight line that shows the appropriate correlation among scatter plots of a given data. It is majorly used when the plotted points are not linear, it can be used to express the relationship between dependent and independent variables.
The sum of the residuals should be close to zero because it shows that the line of best fit is accurately drawn. Thus, it implies that there is a linear relationship between the two variables. Since he residual is close to zero, the graph could be said to be a linear graph.
Solve the inequality -2x < 5, illustrating your solution on a number line.
Is -6 a solution of the inequality?
Answer:
No.
Step-by-step explanation:
Let's first and try to isolate x.
-2x < 5
(Divide by -2)
x > -5/2 ( < changes to > b/c it was divided by a negative)
x > -2.5
Since x is all values greater than -2.5, -6 is not within those bounds.
Thus, -6 is not a solution to the inequality.
Hope that helps!
NEED HELP NOW!!! Need help finding vertex form
Answer:
y = (x-.5)^2 -12.25
Step-by-step explanation:
first, find the vertex
x from (x,y) = -b/2a
ax^2-bx - c
1x^2-1x -12
-1/2(-1) = -1/-2 - 1/2
(1/2,y) then use x value to find y value
y = 1/2^2 - 1/2 - 12
y = .25 -.5 - 12 = -12.25
(.5,-12.25) input values into this formula:
y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1
y = (x-.5)^2 -12.25
Dokota has 4/10 kg of clay. He divides the clay to make 8 equal- sized pots. How many grams of clay are in each pot?
4 1 1
--- kg x ----- = ------ kg = 0.05 kg = 50 g
10 8 20