Answers
Answer:
21 degrees
Step-by-step explanation:
The inscribed angle theorem states that when two cords (lines in a circle) make contact with the circumference of the circle (outer edge), and the two cords do not pass through the center of the circle, then the angle between the two cords is equal to half of the length of its surrounding arc. This means that the measure of arc (WV) is half of the measure of angle (WXV). Therefore, one can form an equation and solve for the length of the arc (WV).
2 (WV) = (m<WXV)
Substitute,
2 (WV) = (42)
Inverse operaitons,
2 (WV) = (42)
/2 /2
(WV) = 21
Related Questions
What are the equations for the horizontal and vertical lines through (−2, 0)?
A. horizontal y = 0, vertical x = −2
B. horizontal y = 0, vertical x = 2
C. horizontal y = −2, vertical x = 0
D. horizontal y = 2, vertical x = 0
Answers
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answers
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
8 ( x + 4) = 62. 4. x = _____
Answers
Answer: 0.05
Step-by-step explanation: Ur welcome
Step-by-step explanation:
8×x+8×4=62.4.x=_
8x+32=62.4.x=_
8x=62.4-32
8x=30.4
x=30.4:8
x=3.8
Can someone please help me and tell me the answers
Answers
I hope this helps you
1) x=180-130.2
x=49.8
2) x+71.5=90
x=90-71.5
x=18.5
3) x+54=90
x=90-54
x=36
4) x+35=180
x=180-35
x=145
Please solve no need for explanation
Answers
Answer:
I am not sure
Step-by-step explanation:
But I think I know
Answer:
Step-by-step explanation:
n=0
w=3120
i=[tex]\sqrt 2[/tex]
q=[tex]\frac{-6}{7}[/tex]
r=5.123456...
Find the area of the largest square contained by a circle of radius r = 1cm. Explain your answer and justify that it is correct. Hint: Use the pythagorean theorem.
Answers
Answer:
2 square cm
Step-by-step explanation:
Given :
A square is inscribed in a circle whose radius is r = 1 cm
Therefore, the diameter of the circle is 2 r = 2 x 1
= 2 cm.
So the diagonal of the square is 2r.
Using the Pythagoras theorem, we find each of the side of the triangle is [tex]$r \sqrt 2$[/tex].
Therefore, the area of the square is given by [tex]$\text{(side)}^2$[/tex]
= [tex]$(r\sqrt 2)^2$[/tex]
[tex]$= 2 r^2$[/tex]
[tex]$= 2 (1)^2$[/tex]
[tex]$=2 \ cm^2$[/tex]
Hence the area of the largest square that is contained by a circle of radius 1 cm is 2 cm square.
Brian invests £990 into his bank account. He receives 2.6% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate.
Answers
Answer:
£1067.22
Step-by-step explanation:
A = P(1 + rt)
A = £990(1 + 0.026*3)
A = £1067.22
Mark brainliest if this helped!
Mark brainliest if this helped!
Solve for x. Show all your steps/work.
(¼)x + 1 = 22x
Answers
21.75x=1
x=0.046
Im not sure tho:) but probably its correct
Step 1: multiply 4 by both sides of the equation which is 22. Which gives you x+4= 88x
Step 2: Move the constant to the right-hand side and change its sign (it was +4 but it’s now -4) then move the variable to the left-hand side and change its sign (which is +88 but is now -88x)
Step 3: collect like terms which is 1-88x that gives you -87x= -4
Step 4: divide both sides by -87
That gives you the answer
1/4x +1= 22
Multiply by 4
X+4 = 88x
Move the terms
X- 88x= -4
Collect like terms
-87x=-4
Divide by -87
Equals 4/87
pls help, I need this :)
Answers
Answer:
1st statement is true
Step-by-step explanation:
The 1st statement is true since .25 is 25/100
The 2nd statement is false since 20 / 10 = 2 not .20 which is 2/10
The 3rd statement is false since 2/3 = .6666667 not .23
The 4th statement is false since .4 = 4/10 not 1/4 which is .25
A hopper contains 20 ping-pong balls. There are 6 red, 4 white, 3 green, 2 yellow,
and 5 blue ping-pong balls. Rounded to the nearest thousandth, what is the
probability of drawing a red ball then a blue ball without replacement?
.079
.075
.090
.045
Answers
Answer:
0.079 would be the correct answer
Step-by-step explanation:
you just do 3/10 x 5/19 and then you get the answer
whats the area of the shaded region
Answers
Answer:
36 meter square
Please mark my answer as brainliest for further answers:)
5/7 x 9/10
please show your work and the answer has to be a simplified fraction . thanks :)
Answers
Answer:
Step-by-step explanation:
5/7 x 9/10
=5/7 9/5 X 2
=1/7 X 9/2
=1 X 9/ 7 X 2
=9/ 7 X 2
=9/14
The expression 5/7 x 9/10, is equivalent to 9/14.
What is a expression? What is a mathematical equation?Linear function is a function whose degree is one. It is of the form -f(x) = ax + bA mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
5/7 x 9/10
Given is -
5/7 x 9/10
1/7 x 9/2
9/14
Therefore, the expression 5/7 x 9/10, is equivalent to 9/14.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
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Which expression is equivalent to (3^2)^4⋅(3^4)?
Answers
Answer:
i am confused on what you are asking but if you explain it i would love to help
Step-by-step explanation:
Daphne played 240 consecutive games of soccer without being taken off the field. Then, after a single game on the sidelines, she played another string of consecutive games, although this string was 40% shorter. How many consecutive games was that?
Answers
Answer:
144.
Step-by-step explanation:
40% shorter means she played 100 - 40 = 60% of the previous tall.
60% of 240
= 240 * 0.6
= 144 games.
Find the value of x.
Answers
Answer:
x + 42 + 58 = 180x + 100 = 180x = 80°Answer:
x = 80°
Step-by-step explanation:
The measure of the angles of the inside of a triangle, when added result in 180°
58° + 42° + x = 180°
x = 180° - 42° - 58°
x = 80°
Caleb earns points on his credit card that he uses toward future puchases. He earns four points per dollar spent on flights, two points per dollar spent at hotels,and one point per dollar spent on all other purchases. Last year, he charged a total of $9,480 and earned 14,660 points. The amount of money spent on flights was $140 more than twice the amount of money spent on hotels. Find the amount of money spent on each type of purchase.
Answers
Answer:
Let f = dollars spent on flights, h dollars spent on hotels, and p dollars spent on all other purchases.
Step-by-step explanation:
State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes
Answers
Answer:
Yes
Step-by-step explanation:
6 + 8 = 14 which is bigger than 9 so it is possible
If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible
Please Help ASAP!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4 → A
1/8 plus 1/4 equals.
Answers
Answer:
3/8
Step-by-step explanation
Please just use a calculator
Answer:
0.375
Step-by-step explanation:
What is the reference angle of 255°?
Answers
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
Given the following triangles are congruent, use the given information to complete the congruence statement. (Type your answer in using capital letters and make sure they are in the appropriate
order).
Answers
Answer:
VWU
Step-by-step explanation: just match the side.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!
Answers
Answer:
Function 1 rate of change: 1/2
Function 2: 5/6
Function 2 has the greatest rate of change
Step-by-step explanation:
The product of a number and 32.
Answers
Answer:
32y
Step-by-step explanation:
Let the number be y.
The product of a number and 32,
y x 32
= 32y
The number is 32y.
A bird flying at an elevation of 110 ft swoops down to grab a mouse on top of a 3 foot tall rock. What is the change in the birds elevation?
Answers
Answer:
Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock
Step-by-step explanation:
Given
The level of mouse from the ground is [tex]3[/tex] foot as it is on the top of a [tex]3[/tex] foot tall rock.
The level of bird at which it is flying from the ground is [tex]110[/tex] feet
Change in elevation when the bird swoops down to grab the mouse
[tex]= 110 -3\\= 107[/tex]feet
Bird swoops down by 107 feet to grab a mouse on top of a [tex]3[/tex] foot tall rock
What is the value of x?
Answers
Answer:
x = 64
Step-by-step explanation:
2x = 128
x = 64
Answer:
hi
Step-by-step explanation:
i think so
128⁰+2x⁰=180⁰
2x⁰=180⁰-128⁰
2x⁰=52⁰
x=52/2
x=26⁰
hope it helps
have a nice day
Write the equation of the line that passes through (-4, 3) and is perpendicular to the line y = 7/5x-2/5
Answers
Answer:
y - 3 = (-5/7)(x + 4)
Step-by-step explanation:
The given line, y = 7/5x-2/5, has a slope of 7/5. Any line perpendicular to this one must have a slope tht is the negative reciprocal of 7/5, which is -5/7.
Use the point-slope formula to come up with an equation for this new line:
y - 3 = (-5/7)(x + 4)
-10 + 15xy = 20 Direct and inverse variation. constant of variation (k)
Answers
Answer:
This is an inverse variation, and the constant of variation is k = 2.
Step-by-step explanation:
Direct variation is something like:
y = k*x
Where k is the constant of variation.
So as x increases also increases y.
Inverse variation is something like:
y = k/x
k is the constant of variation.
In this case, if x increases, y decreases.
Now let's look at the equation:
-10 + 15*x*y = 20
Let's isolate y in one side of the equation:
15*x*y = 20 + 10 = 30
15*x*y = 30
y = 30/(15*x) = (30/15)/x = 2/x
y = 2/x
Then we can conclude that this is an inverse variation, with a constant of variation equal to 2.
Solve the following
5x20
Answers
Answer:
100
Step-by-step explanation:
1
20
X 5
100
do exponential functions have a vertex?
Answers
Exponential functions do not have a vertex.
What is an exponential function?"Exponential function, as its name suggests, involves exponents. An exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
In mathematics, an exponential function is a function of form [tex]f(x) = a^{x}[/tex], where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0."
What is the vertex of a function?"The standard form of a quadratic equation is y = ax² + bx + c and the vertex form of the same is y = a (x - h)² + k. Here, the vertex form has a square in it. So to convert the standard to vertex form we need to complete the square."
We know that, the graph of an exponential function consists of a horizontal asymptote. However, there is no quadratic function available that consists of a horizontal asymptote.
Hence, exponential functions do not have a vertex.
Learn more about an exponential function here: https://brainly.com/question/14355665
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-5x - 5 > 15 solve this inequality
Answers
Answer:
-5×-5>15
+5 +5
-5×>20
÷-5 ÷-5
x<-4
whe you divide by a negativr you flip the sign