Step-by-step explanation:
87 and z are opposite so the are equal. The x equation is on the same line as the 87 degree angle so those 2 added together have to equal 180 so subtract 87 from 180 and get 93 and set 93 equal to 9x-87 and solve to get x=20
Answer:
=> z = 87° { vertically opposite angle }
=> 87° + (9x-87) = 180° { linear pair }
=> 87 +9x-87 = 180
=> 9x = 180°
=> x = 180/9
=> x = 20°
What is the next fraction in this sequence? Simplify your answer 1/52 1/26 1/13 2/13
Answer:
4/13
Step-by-step explanation:
The pattern is that every number is multiplied by 2 starting at 1/52. To find the next fraction in the sequence, multiply 2/13 by 2:
[tex]\frac{2}{13} (\frac{2}{1} )=\frac{4}{13}[/tex]
4/13 is our final simplified answer
I hope this helps!
What are the zeros of the quadratic function?
f(x)=2x2+x−3
Enter your answers in the boxes.
The zeros of f(x) are ---
and ---
Answer:
x=-3/2 and x=1 is the zeros of the equation
simplify 2/5+2/5-7/15
Answer:
1/3
Step-by-step explanation:
2/5+2/5-7/15
=2+2/5 -7/15
=4/5-7/15
=4×3-7/15
=12-7/15
=5/15
=1/3 Ans.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{5} +\frac{2}{5} -\frac{7}{15}[/tex]
[tex]=\frac{4}{5} -\frac{7}{15}[/tex]
[tex]=\frac{(4)(15)-(5)(7)}{(5)(15)}=\frac{60-35}{75} =\frac{25}{75}[/tex]
Simplified:
[tex]=\frac{1}{3}[/tex]
Hope this helps
How do you convert x^2+4x+2 in vertex form?
Please explain how you do it.
Answer:
(-2,-2)
Step-by-step explanation:
Answer:
f(x)=(x+2)2−3 or (x−(−2)2−3
Step-by-step explanation:
Vertex form of equation is
f(x)=a(x−h)2+k
Here, we have f(x)=x2+4x+1, hence we have a=1. So for converting to this form, we complete the square using
(x+a)2=x2+2ax+a2 for which we have to identify a and then add and subtract a2. Hence,
I just need some answers please with explanation if possible
Answer:
A'(0,4)
B'(6,-4)
C'(-2, -8)
Step-by-step explanation:
In order to scale a figure by a factor all you have to do is multiply each coordinate by the scaled number.
So in this case we'd take A(0,2) and then multiply the x-value and y-value by 2 to get A'(0,4).
Repeat this for each coordinate to get the answer!
How many solutions does the equation
below contain?
-4-3t+ 1) - 7+ = 51 - 4
A.
no solution
B.
one solution
C. two solutions
D. infinitely many solutions
Answer:
A.no solution
Step-by-step explanation:
[tex]12t- 4 - 7t = 5t - 4[/tex]
[tex]12t - 7t = 5t - 4[/tex]
[tex]5t = 5t - 4[/tex]
[tex]5t - 5t = - 4[/tex]
[tex]0 = - 4[/tex]
Simply the given expressions below.
a) 4x + 8 - 2x + 7
b) 2n ×5 ×2a
please answer it and clear..give them brainlest answer
Step-by-step explanation:
a) 4x + 8 - 2x + 7
= 2x +15
b) 2n × 5 × 2a
= 10n × 2a
= 20an
Answer:
a) 2x+15
B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or
n =(2+√44)/4=(1+√ 11 )/2= 2.158
Step-by-step explanation:
a.4x+8-2x+7
4x+15-2x
=2x+15
Help me pls math and will make brainless
Answer 7. Pls !!!
A half circle has a radius of 20 ft, what is the area of the half circle?
Step-by-step explanation:
A = 0.5(πr^2 )
A = 0.5(π × (20^2 ))
A = 628.32 units^2
Answer:
628.3 ft
Step-by-step explanation:
area of half circle = [tex]\frac{\pi r^{2}}{2}[/tex]
= [tex]\frac{\pi *20^{2} }{2}[/tex]
= 200[tex]\pi[/tex] = 628.3 ft
Given r(x) = 20x - 89, what is the value of r(1/2)
Answer:
put x=1/2, you will get, r(1/2)=20*1/2-89
=10-89= -70.
hope it will help.
MAX POINTS PLEASE HELP Will make Brainliest
What is the period and frequency of the function graphed and how would the equation be written??
Answer:
Period: 6, Frequency: 1/6, Equation: -4cos([tex]\frac{\pi }{3}x[/tex])-2
Step-by-step explanation:
Because the graph starts at x = 0 at a minimum/maximum, it's easiest to use cosine, so we don't have to shift the graph horizontally. cos(x)
If you take the max/min points and average them, you can use the distance between the average value and the max/min to get the total amplitude, A, which is 4.
Because this function starts at a minimum, but cosine starts at a maximum, we will flip it vertically by adding a negative coefficient to whatever the amplitude is.
We see that the same part of the graph recurres every 6 x-units, so the period is 6. The frequency of this is 1/(period), 1/6.
The coefficient of x in a sin/cos function is [tex]2\pi /Period[/tex], = [tex]\pi[/tex]/3.
The vertical shift (how much the average value of the function moved from 0 to its current position) is -2.
Put all that together, you get y = -4cos([tex]\frac{\pi }{3}x[/tex])-2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Period :
Difference between two successive crest or trough is known as period, so here :
period = 9 - 3 = 6
Frequency
Now, we know that frequency = 1/period
So, frequency for given function is 1/6 hertz , or approximately 0.167 hertz
Amplitude (A) = 4 (flipped)b = 2π ÷ Period = 2π /6 = π/3 k = -2The required equation is ~
[tex]\qquad \sf \dashrightarrow \:y = a \cos(bx) + k[/tex]
[tex]\qquad \sf \dashrightarrow \:y = - 4 \cos( \frac{ \pi}{3} x) - 2[/tex]
Determine the radius in metres Diameter=2230mm height=3130mm
Answer: 1.115 metres
Step-by-step explanation:
The radius is half the diameter.
2,230 mm / 2 = 1,115 mm
To turn mm into metres, we divide the length by 1,000.
1,115 mm / 1,000 = 1.115 metres
Answer:
1.115m
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m[/tex]
Please rate brainliest if you think I deserve
Evaluate the expression when a=-3 and c=5.
6c-a
Answer:
33
Step-by-step explanation:
We can plug in the values for a and c
[tex]6(5)-(-3)[/tex]
[tex]30-(-3)[/tex]
[tex]=33[/tex]
Therefore, the value of the expression is 33.
#LearnWithBrainly
Answer:
33
Step-by-step explanation:
Given values:
a = -3c = 51. Substitute the values in the expression
[tex]\implies 6c - a[/tex]
[tex]\implies 6(5) - (-3)[/tex]
2. Simplify the expression
[tex]\implies 6(5) - (-3)[/tex]
[tex]\implies 30 - (-3)[/tex]
[tex]\implies 30 + 3[/tex]
[tex]\implies 33[/tex]
Please help ASAP I need an answer now!
Answer:
Final answer -
Area of paperboard = [tex]565.92 \: inches {}^{2} [/tex]
hope helpful :D
Find The Zeroes:
Answers:
x = 1 and -2
x = 2 and -1
x = -0.5 and -2.25
Answer:
x = -2 & x= 1
Step-by-step explanation:
Zeroes are the x-axis value where the function crosses the x-axis!
A stone is projected vertically upward from a platform that is 18ft high at a rate of 114ft/sec. Use h=−16t^2+v0t+h0.
Using the vertex of the quadratic equation, it is found that the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, considering initial velocity of v(0) = 114 and an initial height of h(0) = 18, the equation is:
h(t) = -16t² + 114t + 18.
Which is a quadratic equation with coefficients a = -16, b = 114, c = 18.
Hence:
[tex]x_v = -\frac{114}{2(-16)} = 3.5625[/tex]
[tex]y_v = -\frac{114^2 - 4(-16)(18)}{4(-16)} = 221.0625[/tex]
Hence, the stone reaches a maximum height of 221.0625 ft after 3.5625 s.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
help not understanding this one
Answer:
3/m²³
Step-by-step explanation:
REWRITE
[tex]\sqrt{\frac{36m^2}{4m^24} } =\frac{\sqrt{36m^2} }{\sqrt{4m^24} }[/tex]
DISTRIBUTE SQ ROOT
[tex]\sqrt{36m^2} =\sqrt{36} \sqrt{m^2}= 6m[/tex]
[tex]\sqrt{4m^24} =\sqrt{4} \sqrt{m^24} =2m^12[/tex]
SIMPLIFY
[tex]\frac{6m}{2m^24} =\frac{3m}{m^24} =\frac{3}{m^23}[/tex]
Hope this helps!
Need help PLEASE lol anyway thank u
Answer:
true option is B
Step-by-step explanation:
true option is B
The equation c = 0.20t +3.50 shows the relationship between the charge, c. in dollars for renting a kayak for t minutes
What is the meaning of the slope?
O Every 0.2 minutes you have to pay $1.
You have to pay $0.20 up front before sing the kayak at all.
For $1.00. you can rent a kayak for 20 minutes,
It costs $0.20 per minute to rent the kayak
Answer:
O It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
c = 0.20t + 3.50→ $3.50 is the fixed cost→ $0.20 is the rate per minute use of the kayakOption 4Answer:
It costs $0.20 per minute to rent the kayak
Step-by-step explanation:
The equation is a linear equation in the form y = mx + b
x is the independent variabley is the dependent variablem is the slope/gradient and tells us the rate of changeb is the y-intercept and tells us the initial value (when x = 0)Given equation: c = 0.20t + 3.50
Therefore,
t is time (in minutes) and is the dependent variable.c is the total charge (in dollars) and is the independent variable.$0.20 is the slope (rate of change) and tells us that the charge (c) increases by this amount for every increase of 1 unit of the value of t (1 minute).$3.50 is the initial charge and is not dependent on the value of t.Therefore, the meaning of the slope is:
It costs $0.20 per minute to rent the kayak
What is the area of the figure?
To solve the area of a complex shape
⇒ best split the shape into smaller regular shapes
⇒ let's split this one into
⇒the rectangle that has a length of 7cm and width of4 cm
⇒ and a pentagon that has a height of 8cm and the two bases of
length 7cm and 19 cm
Area of Rectangle = length * width = 7 *4 = 28[tex]cm^2[/tex]
Area of Pentagon = [tex]\frac{1}{2}(b1+b2)*h[/tex]
b1: length of one of the bases ⇒ 7cmb2: length of the other base ⇒ 19cmh: length of the height ⇒ 8 cmArea of Pentagon = [tex]\frac{1}{2}(7 + 19)*8 = \frac{1}{2}*26*8 = 26 * 4 = 104cm^2[/tex]
Total Area = Area of Rectangle + Area of Pentagon
= 104 + 28 = 132[tex]cm^2[/tex]
Hope that helped!
The possible outcomes for rolling a pair of fair dice are shown below.
What is the probability of rolling a sum that is a prime number?
Answer:
5/12
Step-by-step explanation:
"When two dice are thrown, the total number of sample spaces is 36.
Favourable outcomes = {(1,1),(1,2),(1,4),(1,6),(2,3),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}
Total number of favourable outcomes = 15
Hence, the probability of getting a sum of prime numbers = 15/36 = 5/12."
This was taken from a Byjus post.
Hope this helps.
What is the volume of the sphere below?
Answer:
D
Step-by-step explanation:
4/3 (3.14) r^3 is the equation, so since the radius is 4
It's 4/3x(pi)64
256/3x(pi)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
Right angle
Step-by-step explanation:
It is because ANGLE QMS from the given figure denote 90 ° and right angle means 90°.
According to an article, 75% of high school seniors have a driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a driver's license. Find the probability that more than 77% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met.
Answer:
33%
Step-by-step explanation:
77 + 233= 300 so 33% don't have a license
Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
Answer: y = 9x2 + 18x – 6
Step-by-step explanation:Describe the graph of the function. y = 9x2 + 18x – 6
The graph is a parabola with axis of symmetry at x = –1.
The graph is a parabola with axis of symmetry at x = 6.
The graph is a parabola with axis of symmetry at x = 1.
The graph is a parabola with axis of symmetry at x = 9.
What is the probability of landing a C, 4 when spinning these spinners at the same time?
Answer:21%
Step-by-step explanation:21%
What's the answer to 0.02x + 0.1 (6000) = 0.08 (x + 6000)
Answer:
X=2000
Step-by-step explanation:
[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]
[tex]0.02x + 600 = 0.08x + 480[/tex]
[tex]600 - 480 = 0.08x - 0.02x[/tex]
[tex]120 = 0.06x[/tex]
[tex]x = \frac{120}{0.06} [/tex]
[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]
[tex]x = \frac{120}{6} \times 100[/tex]
[tex]x = 20 \times 100 = 2000[/tex]
X=2000
−6146.153846154
Step-by-step explanation:
0.02x+6=0.8(x+6000)
0.02x+6=0.8x+4800
0.02x+6−0.8x=4800
−0.78x+6=4800
−0.78x=4800−6
−0.78x=4794
x=4794/-0.78
x=479400/-78
x=- 79900/13
I NEED HELPPOO will mark you BRAINLIEST The diameter of a circle is 14, and its center is located at (3,-4).
What is the equation of the circle?
Choose from the drop-down menus to complete the equation
(* Choose.. Choose v)2 + (y Choose Choose.
x
.
= Choose .
6
7
8
Step-by-step explanation:
Somebody pls help me with this
Answer:
55 minutes
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIST
Answer:
85 minutes
Step-by-step explanation:
if need working than please do ask
Volume of 12m height base and 6m base cone
Answer:
452.16 m³
Step-by-step explanation:
Given
height, h = 12 mbase radius, r = 6 mFormula
V = 1/3πr²hSolving
V = 1/3 x 3.14 x 36 x 12V = 3.14 x 144V = 452.16 m³