Answer:
A
Step-by-step explanation:
The two angles given are vertical angles because they are opposite of each other
Hey!!
<a and <b are vertically opposite angles.
Vertically opposite angles are always equal.
Hope it helps..
Good luck on your assignment
Find the volume of a cone with the radius of 14, and a height of 9. (Hint:
the volume of a cone is 1/3*b*h where the "b" is the area of the base of
the cone or a circle). DO NOT ROUND!!!!! USE 3.14 for PI!!!*
Answer:
The answer is 1846.32 units³.
Step-by-step explanation:
Given that the base of a cone is a circle so the area of circle is A = πr². You have to substitute the following values into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Let π = 3.14,
Let r = 14,
Let h = 9,
[tex]v = \frac{1}{3} \times 3.14 \times {14}^{2} \times 9[/tex]
[tex]v = 1846.32 \: {units}^{3} [/tex]
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
0.35+0.3x=0.45+0.2x
0.35+0.03x=0.45+0.02x
35+0.03x=45+0.2x
35+0.03x=45+0.02x
Matching mathematical terms and definitions
Piece of line with two endpoints = line segment
Two rays with common endpoint = angle
Piece of line with one endpoint = ray
All coplanar points equidistant from a given point = circle
----------
side note: you could use two lines or segments to construct an angle. You don't necessarily have to use two rays.
What’s the vertex of y=1/3(x+2)^2-5
Answer:
vertex is (2,-5)
Step-by-step explanation:
y = a(x – h)^2 + k
the vertex is (h,k) in the equation h =2 and k = -5
in each diagram the line BD bisects angle ABC. Find the measure of angle ABC
Answer:
∠ ABC = 134°
Step-by-step explanation:
Given tat CD bisects ∠ ABC then
∠ DBC = ∠ ABD , substitute values
x - 33 = [tex]\frac{x}{2}[/tex] + 17 ( multiply through by 2 to clear the fraction )
2x - 66 = x + 34 ( subtract x from both sides )
x - 66 = 34 ( add 66 to both sides )
x = 100
Thus
∠ DBC = ∠ ABD = x - 33 = 100 - 33 = 67°
Hence
∠ ABC = ∠ DBC + ∠ ABD = 67° + 67° = 134°
Question: Imagine that a family of three (Alice, Bill, and Charlie) are
playing a card game at home two nights in a row. The chance that any one
of them will win is 1/3. a.) Using A for Alice, B for Bill, and C for Charlie, what
are the outcomes for two consecutive nights of playing card. (Ex. AA
means Alice won the first night and the 2nd night) *
Which graph represents the solution for the equation 1/6 x = -2x + 5?
I don’t need you to explain just answer.
Answer:
-4 <x< -2
Step-by-step explanation:
you need to plot the line between -4 and -2
image In the figure, is the segment bisector of AB such that AP = 15x – 11 and PB = 9x + 25. Find the value of x. Question 5 options: A) 6 B) 5 C) 7∕3 D) 10
Answer:
[tex]x =6[/tex]
Step-by-step explanation:
Given
Bisected Sector AB;
AP = 15x - 11
PB = 9x + 25
Required
Find x
When a sector is bisected, it means the sector is divided equally into two;
Hence [tex]AP = PB[/tex]
This gives
[tex]15x - 11 = 9x + 25[/tex]
Add 11 to both sides
[tex]15x - 11 + 11 = 9x + 25 + 11[/tex]
[tex]15x = 9x + 25 + 11[/tex]
[tex]15x = 9x + 36[/tex]
Subtract 9x from both sides
[tex]15x - 9x = 9x + 36 - 9x[/tex]
[tex]15x - 9x = 9x - 9x + 36[/tex]
[tex]6x = 36[/tex]
Divide through by 6
[tex]\frac{6x}{6} = \frac{36}{6}[/tex]
[tex]x = \frac{36}{6}[/tex]
[tex]x =6[/tex]
Hence, the value of x is 6
Answer:
x=6
Step-by-step explanation:
15x-11=9x+25
15x-9x=25+11
6x=36
x=6
Solve for x: 6x + 5 = 4x + 51
Answer:
x=23
Step-by-step explanation:
6x + 5 = 4x + 51
Take away 4x from both sides
2x + 5 = 51
Take away 5 from both sides
2x = 46
Divide both sides by 2
x=23
Answer: x=23
explanation: First thing you need to do is rearrange the equation so that like-terms are together. To avoid negative numbers, subtract 5 from both sides of the equation (subtraction property of equality), and subtract 4x from both sides (subtraction property of equality). You're equation would then be 2x=46. Divide both sides (division property of equality) by 2 to isolate your variable of x. You'll be left with a final answer of x=23.
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7
Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
please help me with this.
Step-by-step explanation:
In a regular hexagon, split the figure into triangles.
Find the area of one triangle.
Multiply this value by six.
Alternatively, the area can be found by calculating one-half of the side length times the apothem.
Hope this helps you.
Two years ago ,Mr.Braxton counted 7 hickory trees in his yard. last year he counted 14 trees in his yard. this s[ring he counted 28 hickory trees.In how many years will there be 224 hickory trees?
Answer:112 years, you see a pattern of multiplying by 2, take 224 and divide it by 2 and you get 112
Step-by-step explanation:
Step-by-step explanation:
Well seeing as each year the amount of Trees Doubled (7+7=14 and 14+14=28)
We can Infer that each year afterwards it will do so.
So 1 year from now 28+28 = 56
2 years from now 56 + 56 = 112
And finally at 3 years 112+112 we arrive at our answer 224
Answer: So it would take 3 years to get to get to 224
8. ABCD is a quadrilateral. Work out the size of y.
B
2y
A
68°
y +48°
D
C
Answer:
y+48degrees
Step-by-step explanation:
What is the slope of a line perpendicular to y = –5x + 6? answers: A) –1∕5 B) 5 C) 1∕5 D) –5
Answer:
C) 1/5
Step-by-step explanation
When one line has a slope of m, a perpendicular line has a slope of −1/m
Which inequality is true?
A. 6 - pi > 3
B. pi + 3 < 6
C. 8 pi > 24
D. 12/pi > 4
Answer:
C.
Step-by-step explanation:
Round pi to 3.14 to get a rough estimate.
6 - 3.14 > 3 FALSE
3.14 + 3 < 6 FALSE
8 * 3.14 > 24 TRUE
12 ÷ 3.14 > 4 FALSE
Solve the equation.4[x+1/3]=20
Answer:
[tex]x=\frac{14}{3}[/tex]
Step-by-step explanation:
Open the brackets.
[tex]4x +\frac{4}{3}=20[/tex]
[tex]4x=\frac{56}{3}[/tex]
[tex]x=\frac{14}{3}[/tex]
Answer:
So first we need to divide both sides by four. The four on the left side will cancel out and the right side will become 5. Next we have
x+1/3=5
Now we need to subtract both sides by 1/3. The 1/3 will cancel out and the 5 will become 4 2/3.
All we will be left with is x
x = 4 2/3
You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?
Answer:
216
Step-by-step explanation:
12 × 18 = 216 :)) !!!!
Find x, y and z to the nearest hundredth.
Answer:
see explanation
Step-by-step explanation:
This is an example of the Altitude - on - Hypotenuse theorem.
The altitude that is perpendicular to the hypotenuse of a right triangle.
The two triangles formed are similar to the given triangle and to each other.
x² = (smaller part) × (larger part) of main hypotenuse
x² = 6 + 19 = 114 ( square root both sides )
x ≈ 10.68 ( nearest hundredth )
---------------------------------------------
y² = ( smaller part) × (whole part) of main hypotenuse
y² = 6 × 25 = 150 ( square root both sides )
y ≈ 12.25 ( nearest hundredth )
--------------------------------------------
z² = ( larger part) × (whole part) of main diagonal
z² = 19 × 25 = 475 ( square root both sides )
z ≈ 21.79 ( nearest hundredth )
29 40 40 40 40 41 51 56 62 63 whats the interquarile range
Answer:
At a glance, we use the middle values and not sure if you have made the outer quartile numbers inclusive.
Based on you doing so we take the 56-40 = 16 range
If you haven't included outside numbers
We take the 63-29 = 34 range
Step-by-step explanation:
If the coordinate of vertex A is (-2,4), then the coordinate of vertex A' is
(-2,-4)
(2,-4)
(2, 4)
Answer:
A' = (2,4)
Step-by-step explanation:
I know this because it's the opposite of (-2,4)
Answer:
(-2, -4)
Step-by-step explanation:
Find the value of x to the nearest degree.
Answer:
23 deg
Step-by-step explanation:
For angle x, 3 is the opposite leg.
sqrt(58) is the hypotenuse.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.
sin x = opp/hyp
sin x = 3/sqrt(58)
sin x = 0.3939
x = sin^-1 0.3939 = 23 deg
Another easy way for points!!! FASTEST ANSWER=BRAINLIEST!!!
What is: 1x2x3x4x5x6x7x8x9x10?
the answer is 3628800
The solution to the equation "1x2x3x4x5x6x7x8x9x10" is 362,880.
How to find the multiplication?This is a factorial, which is the product of all the positive integers less than or equal to a given number. In this case, the factorial is 10!, which is the product of all the positive integers less than or equal to 10.
To calculate 10!, use the following formula:
n! = n × (n - 1) × (n - 2) × ... × (3) × (2) × (1)
where n is the number to be taking the factorial of.
In this case, n = 10, so:
10! = 10 × (9) × (8) × (7) × (6) × (5) × (4) × (3) × (2) × (1) = 362,880
Therefore, 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 = 362,880.
Find out more on multiplication here: https://brainly.com/question/10873737
#SPJ6
Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2
Here A is the answer because it has more terms i guess
Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
-2(x - 2)2 = -8(7 + y)
y = 1 / x²-x-6
y=-2+ V28+4x
y - 2+28+4x
Answer:
y=2+√28+4x
Step-by-step explanation:
Giving brainliest to anyone who answers
Answer:
[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]
Step-by-step explanation:
\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}
Answer:
[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]
[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]
[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]
[tex]$\frac{10y+21x}{15xy}$ \\[/tex]
\\-----------------------------------\\
[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]
[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]
[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]
Which equation represents the graphed function?
O y=-2x + 3
O y = 2x + 3
Oy= 1/2x+3
Oy=-1/2x+3
Answer:
A y= -2x+3
Step-by-step explanation:
The plus 3 bring the line up 3. The negative makes the line moving down left to right. The 2 stretches the line by two.
The equation of the line in slope-intercept form is: A. y = -2x + 3.
What is the Equation of a Line in Slope-intercept Form?Equation in slope-intercept form is y = mx + b.b is the y-intercept.m is the slope of the line.Thus, find the slope (m):
Slope (m) = change in y/change in x = -2/1 = -2
y-intercept (b) = point on the y-axis where the line intersects the y-axis = 3.
Therefore, substitute b = 3 and m = 2 into y = mx + b:
y = -2x + 3
Therefore, the equation of the line in slope-intercept form is: A. y = -2x + 3.
Learn more about slope-intercept form on:
https://brainly.com/question/1884491
Can I get some help on this question?
Cindy dissolves 19 1 /4 grams of drink mix in 1 3 /4 ounces of water. What is the unit rate in grams of drink mix per ounce of water?
Answer:
There are 11 g of drink mix for every ounce of water.
Step-by-step explanation:
In order to calculate the unit rate in grams of drink mix for ounces of water of any type of drink, we need to divide the mass of drink mix in grams by the mass of water in ounces. In this case there are mixed fractions, we will first convert them to fractions, to do that we sum the fraction part with the integer one.
[tex]mix = 19 + \frac{1}{4}\\\\mix = \frac{77}{4}[/tex]
[tex]water = 1 + \frac{3}{4}\\\\water = \frac{7}{4}[/tex]
The rate is:
[tex]rate = \frac{mix}{water}\\\\rate = \frac{\frac{77}{4}}{\frac{7}{4}}\\\\rate = \frac{77}{7}\\\\rate = 11[/tex]
There are 11 g of drink mix for every ounce of water.
Answer:
There are 11 g of drink mix for every ounce of water.
Can someone please help with this math problem I'd really appreciate it.
Answer:
[tex]\mathrm{F}[/tex]
Step-by-step explanation:
[tex]y+8=4(x-5)[/tex]
[tex]x=5\\y=-8[/tex]
[tex](-8)+8=4((5)-5)[/tex]
[tex](-8)+8=4(0)[/tex]
[tex]0=0[/tex]