Answer:
82 degrees
Step-by-step explanation:
Reference Angle: the acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive.
82 DEGREES
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
two solutionsx = 1, 3
Explanation:
[tex]\sf f(x)=x^2-4x+3[/tex]
[tex]\rightarrow \sf x^2-4x+3=0[/tex]
[tex]\rightarrow \sf x^2-3x-x+3=0[/tex]
[tex]\rightarrow \sf x(x-3)-1(x-3)=0[/tex]
[tex]\rightarrow \sf (x-1)(x-3)=0[/tex]
[tex]\rightarrow \sf x-1=0, \ x-3=0[/tex]
[tex]\rightarrow \sf x=1, \ x=3[/tex]
Thus, there are two solutions and the values are 1 and 3
Let's see
[tex]\\ \rm\rightarrowtail f(x)=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-4x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-3x-x+3=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-3)-1(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-3)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1,3[/tex]
How much longer is a 1in button then a 3/4in button
Answer:
1/4
Step-by-step explanation:
4/4-3/4=1/4
What is the following sum? 4 (RootIndex 5 StartRoot x squared y EndRoot) 3 (RootIndex 5 StartRoot x squared y EndRoot).
The sum of the given data will be 7 ⁵√x²y. The result or answer we obtain when we count two or more digits or terms is known as a sum.
What is the sum?The result or response we obtain when we add two or more numbers or terms is known as a sum.
The given terms will be
[tex]\rm x= 4\sqrt[5]{x^2y} \\\\ \rm y= 3\sqrt[5]{x^2y}[/tex]
The sum is found as;
S= x+y
[tex]\rm S=\rm 4\sqrt[5]{x^2y} + 3\sqrt[5]{x^2y} \\\\ \rm S=\sqrt[5]{x^2y} (4+3) \\\\ \rm S=7\sqrt[5]{x^2y}[/tex]
Hence the sum of the given data will be 7 ⁵√x²y.
To learn more about the sum refer to the link;
https://brainly.com/question/13013054
Answer:
Its C
Step-by-step explanation:
TRUST>>>
Use the diagram to complete the statement
Answer:
cos(52)
Step-by-step explanation:
Both sin(38) and cos(52) are equal to KJ/KL.
-5
What is the sign of a.
()
when a = 0 and b < 0?
b
Sos I need help
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
The sign of a will be negative ~
let the value of be be ' -x ' , -x is a negative number (b = -x < 0)
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ - b}{b} [/tex]
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ - ( - x)}{ - x} [/tex]
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ x}{ - x} [/tex]
[tex]\qquad \sf \dashrightarrow \: a \times \frac{ - x}{ x} [/tex]
[tex]\qquad \sf \dashrightarrow \:a \times - 1[/tex]
[tex] \qquad \sf \dashrightarrow \:- a[/tex]
Therefore, the term a, has a negative sign unless it's value is substituted, I.e -a = 0 ( having no sign )
A rectangle has a perimeter of 48 kilometers and a height of 10 kilometers. What is the
length of the base?
kilometers
We know, perimeter of the rectangle = 2(l +b)
where, l = length and b = breadth
Here, the perimeter of the rectangle is 48 kilometers and the height is of 10 kilometers. We can take height as the breadth.
=> Perimeter = 2(l + b)
=> 48 = 2(l + 10)
=> 48/2 = l + 10
=> l + 10 = 24
=> l = 24 - 10
=> l = 14 kilometers
somebody help me with this!
i haven't done this in a while, so i forgot how to do it
Step-by-step explanation:
x+48=180
x=180-48
x=132
have a good day
Answer:
x = 132°
Step-by-step explanation:
The exterior angle is equal to the sum of two opposite interior angles.
d = a + b, where d is the exterior angle, a and b are the two opposite interior angles.
d = 60 + 72
d = 132°
Evaluate expression if a = 2.
a² - 5a - 6
Answer:
-12.
Step-by-step explanation:
a^2 - 5a - 6
When a = 2 we have
2^2 - 5(2) - 6
= 4 - 10 - 6
= -12.
Answer:
Step-by-step explanation:
a²- 5a - 6
Substitute a for 2
(2)² - 5(2) - 6
Solve.
4 - 10 - 6 = -12
If a = 2, a²- 5a - 6 equals -12
(-5 -10 -32 ) • (4 - 8 - 16) =
Can someone help me please
How many different triangles can you make if you are
given these three measurements for angles?
Answer:
1
Step-by-step explanation:
If you're given 3 side lengths and 3 measurements of the angles , there's only one triangle that you may draw. You also can draw distinctive triangles given 3 aspect lengths or aspect lengths and the blanketed distinctive measure.
Answer:
1
Step-by-step explanation:
if you are given 3 measurements you are kind of stuck making that one triangle, no matter which way you shape it you have to have those three angles so you can't make more than that one triangle
Is my answer correct?
Answer: yes there are just delete the last one and replace it with the sixth one start from the start also does this happen to be K12 7th grade?
Step-by-step explanation:
which expression is a perfect cube?
Answer:
it is option b
Step-by-step explanation:
Pls do let me know in the comments for complete explanation
-4 + 3y = 29
5x + y = -3
solve by substitution
Step-by-step explanation:
please mark me as brainlest
Answer:
y=11
x= -2.8
Step-by-step explanation:
y= -5x-3
-4+3 (-5x-3)=29
-4-15x-9=29
-4-9-29=15x
-42=15x
x= -2.8
y= -1 (5×-2.8)-3
=14-3
y=11
please help meeeeeeeeeeeeeeee
Answer:
They given expresión is Pd y no mi al
Please Help! will give brainlest!
Answer:
No, because triangle XYZ is not a right triangle.
Step-by-step explanation:
SOHCAHTOA (sin, cos, tan) can only work on right triangles. If a triangle is not a right triangle, you cannot use sin cos tan on it. This triangle is not a right triangle, so this is why you cannot fin the tangent ratio.
Kyle has a storage box that is 2 ft. Long, 3 ft. High, and has a volume of 12 ft. 3. Myla has a storage box that is 4 ft. High, 2 ft. Long, and has a volume of 16 ft. 3. What are the widths of Kyle and Myla's boxes? Explain how you know.
The widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A storage box oftenly has the shape of a right rectangular prism.
We're specified that:
For Kyle's box:
Volume of the box = 12 cubic ftLength of the box = 2 ftHeight of the box = 3 ftWidth of the box = x ft (suppose)For Myla's box:
Volume of the box = 16 cubic ftLength of the box = 4 ftHeight of the box = 2 ftWidth of the box = y ft (suppose)Using the formula for volume of right rectangular prism to find the missing widths:
Case 1: For Kyle's box:[tex]12 = 2 \times 3 \times x\\12 = 6 \times x\\\text{Dividing both the sides by 6}\\2= x\\x = 2 \: \rm ft[/tex]
Case 2: For Myla's box:[tex]16 = 4 \times 2 \times y\\16 = 8 \times x\\\text{Dividing both the sides by 8}\\2= y\\y = 2 \: \rm ft[/tex]
Thus, the widths of Kyle's and Myla's boxes for the considered case are obtained as: width of Kyle's box = 2 ft, width of Myle's box = 2 ft
Learn more about volume of a right rectangular prism here:
https://brainly.com/question/21308574
The line through the points (6, 3) and (4, –5) is perpendicular to the line through which of the following points?
Answer:
Step-by-step explanation:
( 6 , 3 )
( 4 , - 5 )
m = [tex]\frac{-5-3}{4-6}[/tex] = 4
The slope of the perpendicular line is opposite reciprocal or [tex]-\frac{1}{4}[/tex] , so, the answer is (a).
Factor b12 + 8.
help fast pls
Answer:
3b+2 or 4(3b+2)
Step-by-step explanation:
Mark as brainliest
10 points !!!!!!!!!!!!
Step-by-step explanation:
the numbers are a bit cut off at the top.
do I understand it correctly that the question is when the balloon loses 6/8 of a cubic foot of air ?
if so, I need to point out that the balloon loses 1/8 of a cubic foot per day.
so, how many days until it loses 6/8 if a cubic foot ?
well, 6 times that of 1/8 of a cubic foot = 6 days.
Find the area of the figure.
Answer:
55 sq meters
Step-by-step explanation:
Area of big triangle 7x5=35/2
but there's two big triangle so 35/2 x 2 =35
area of small triangle 5x4=20/2 10
10 x 2 =20. And then combine 20+35=55
So the area is 55 sq meters.
All right answers = 20 points
Pls help
Select the correct answer. Sharla wanted to know how many minutes per hour a radio station typically plays music. She collected the following data from seven radio stations. 30 , 31 , 37 , 36 , 31 , 35 , 34 By how many minutes would her median time change if she added another radio station playing 37 minutes? A. the median did not change B. 0.5 C. 0.4 D. 0.45
Answer:
D. 0.45
Step-by-step explanation:
Median is everything added up, then divide by the amount of numbers you have.
30+31+37+36+31+35+34=234
then divide by 7 and you get 33.42
30+31+37+36+31+35+34+37=271
then divide by 8 and you get 33.87
33.87 and 33.42 have a difference of 0.45
Find the size of angle x.
Answer:
x = 56°
Explanation:
x + 124° = 180°x = 180° - 124°x = 56°Note: A straight line has total 180°
Answer:
x = 56°
Step-by-step explanation:
x + 124° = 180° ( being linear pair )
X = 180° - 124°
X = 56°
Colin & Brian share a lottery win of £2100 in the ratio 4 : 1.
Colin then shares his part between himself, his wife & their son in the ratio 2 : 5 : 3.
How much more does his wife get over their son?
Answer:
£336 more
Step-by-step explanation:
2100/5 = 420 One fifth of the total lottery.
Colin has four shares so 4X420 = 1680
He then splits it into 10 (2+3+5) parts. 1680/10=168
Wife: 168X5=840
Son: 168X3=504
Wife-Son 840-504=336
Answer:
336£
Step-by-step explanation:
To get the amount of money colin gets
(2100*4)/5=1680
Lets do a table:
2 is himself5 is his wife3 is his son2. 5. 3. Sum:10
(2*1680)/10. (5*1680)/10. (3*1680)/10
=336. =840. =504
Then the wife gets 840-504=336£The area of the path of the width 5 m is surrounded outside the square pond is 900m^2 find the length of the pond
Answer:
180mStep-by-step explanation:
[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]
Which statement is correct for the graph of the specified function?
A) The rate of change for the linear function is 2.
B) The rate of change for the linear function is −1.
C) The maximum value of the quadratic function occurs at y = 4.
D) The minimum value of the quadratic function occurs at x = 4.
The correct statement regarding the function plotted in the graph is:
C) The maximum value of the quadratic function occurs at y = 4.
What is the rate of change of the linear function?When x = 0, y = -7, and when x = -5, y = 8, hence the rate of change(change in y divided by change in x) is given by:
R = [8 - (-7)]/-5 - 0 = 15/-5 = -3
What is the maximum value of the quadratic function?It is concave down, hence it has only a maximum value at y = 4 and not a minimum value, hence option C is correct.
More can be learned about functions at https://brainly.com/question/25537936
What quantative measures describe a variation in a set
Answer:
This would be the range, the interquartile range, the variance, and finally the standard deviation.
Step-by-step explanation:
Hope this helps you, please mark as brainlest.
Given similar terms, solve for the missing variables (x)
Answer:
x=10
Step-by-step explanation:
the image above shows the work to solve the equation
If it is now two o'clock, how many hours later will be the first hour between the arrows of the clock is 90 degrees
Answer: 4 o clock
Step-by-step explanation:
Answer:
5 o' clock
Step-by-step explanation:
The angle between the hands of a clock on an hourly basis is 30°
thus for the hands to be 90° apart would be 3 hours
then 2 o' clock + 3 hours = 5 o' clock
A scale diagram of a statue is drawn using a scale of 1 cm to 6 m.
The statue is 30 m tall in real life.
How tall is the diagram of the statue?
Answer:
5cm in the diagram
Step-by-step explanation:
30/6=5