Answer: D. 112°
Step-by-step explanation: Just answered it...
The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.
What is circle?A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).
Given:
The line segment AB and BC are the tangents drawn to the circle,
The measure of angle CBA, ∠ CBA = 68°,
The measure of the major arc, AC = 248°,
Calculate the measure of the minor arc as shown below,
∠ CBA = Major arc - minor arc / 2 (Tangent circle theorem)
68 = 248 - AC / 2
68 × 2 = 248 - AC
136 = 248 - AC
AC = 248 - 136
AC = 112°
Thus, the measure of arc AC is 112°
To know more about circle:
https://brainly.com/question/266951
#SPJ2
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
If you spin the spinner, what is the probability of the pointer landing in the y section
Answer:
1/8
Step-by-step explanation:
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
Can someone please explain to me how I would do this, I cannot figure out how to do this equation at all!!
Answer:
First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.
Answer:
The expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{4x^5}{8x}[/tex]
We need to simplify the expression.
Simplifying the expression
[tex]\frac{4x^5}{8x}[/tex]
Cancel the common factor: 4
[tex]=\frac{x^5}{2x}[/tex]
Cancel the common factor
[tex]=\frac{x^4}{2}[/tex]
Therefore, the expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
Answer:
The description of the rotation is 180 degrees clockwise or counterclockwise rotation
Step-by-step explanation:
Here, we want to get the kind of rotation that maps the triangle into its new coordinates
we have this as;
(x,y) to (-x, -y)
that will be ;
a 180 degrees rotation or counter clockwise rotation
180 rotation so A
Step-by-step explanation:
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
A basketball costs $15.00. If the sales tax is 6%, which equation can be used to find the amount of tax?
Answer:
Tax amount = $15.00 x 0.06 =0.9
Total amount of the basketball = $15.00 x 1.06 = $15.90
Answer:
Tax amount = $15.00 x 0.06 =0.9Total amount of the basketball = $15.00 x 1.06 = $15.90
Step-by-step explanation:
Who's taking geometry and can help me?
HELPPP what is 2x - 5 by the Square root of 9
Which type of function is shown in the table below?
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me
Answer:
The ratio is 20:30, or 2:3 in simplest form
Plzzzzz give me Brainliest!
Answer:
2/5 or 40%
Step-by-step explanation:
20 out of fifty is hard so make it 40 out of 100 and it's easy 40%
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
Part A
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the
function V to identify the x-intercepts. List them in order from least to greatest.
Answer:
4321
Step-by-step explanation:
rreer5t66
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
Please help me with this question!!
Step-by-step explanation:
according to pythagoras theorem
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
therefore,
x2 = (4)2 + (4)2
x2 = 16 + 16
x2 = 32
x = √32
hence, x = 4√2
Help i cant figure this equation out 9x-7i 3(3x-7u)
Answer:
49i^3u−21i^3x+9x
Step-by-step explanation:
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
REALLY EASY MATHS QUESTION PLS HELP
(I think it easy lol)
Answer:
no.2 no.5
Step-by-step explanation:
i don't know how to explain
have a good rest of your day
Answer:
question (1) c^2=a^2+b^2
Step-by-step explanation:
pythagoras theorem
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner
SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ
Step-by-step explanation:
XJDUXIDB DUDUU
Who earns more per hour, and what is his or her pay rate?
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines
The scatter plot below shows the relationship between hours spent on video games and hours spent on homework last week for students in Ginny's class.
Which of the following is the best estimate of the average change in homework time that was associated with a 1-hour increase in time spent on video games?
Answer:
-4/3 hrs
Step-by-step explanation:
trust me I just got it right ;)
The hour change rate is [tex]-\frac{4}{3}[/tex]
What is scatter plot?'A scatter plot uses dots to represent values for two different numeric variables.'
According to the given problem,
Since the data shows mostly a linear trend, we can draw a line to estimate the rate of change.
The line approximately goes through (0,23) and (12,7).
Using the slope formula,
m = [tex]\frac{y_{2}- y_{1} }{x_{2}-x_{1} }[/tex]
Substituting the respective values,
m = [tex]\frac{7-23}{12-0}[/tex]
m = [tex]-\frac{4}{3}[/tex]
Hence, we can conclude that each additional hour spent on video games is associated with approximately a [tex]-\frac{4}{3}[/tex] hour change in time spent on homework on average.
Learn more about Scatter Plots here:
https://brainly.com/question/25280625
#SPJ2
plz help me or dont lol
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8