There is a typo in the question. Where it reads 'state of' should read 'shaded'
Answer:
[tex]A=27.47\ mm^2[/tex]
Step-by-step explanation:
Area of a Circle
Given a circle of radius r, its area can be calculated as follows:
[tex]A=\pi r^2[/tex]
The area of the shaded region can be found by subtracting the area of the large circle minus the area of the small circle.
We already know the area of the large circle:
[tex]A_l=28.26\ mm^2[/tex]
Now we calculate the area of the small circle of radius r=0.5 mm:
[tex]A_s=\pi\cdot 0.5^2[/tex]
Calculating:
[tex]A_s=0.79\ mm^2[/tex]
The area of the shaded region is:
[tex]A=A_l-A_s=28.26\ mm^2-0.79\ mm^2[/tex]
[tex]\mathbf{A=27.47\ mm^2}[/tex]
According to the synthetic division below, which of the following statements are true?
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,
[tex]\frac{2x^2+6x-8}{x+5}=2x-4+\frac{12}{x+5}[/tex]
Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
How do I solve this please?
Answer:
given us,
n=4
here
3^-n+1-3^-n+2
3^-4+1-3^-4+2
-4+1-4+2
-5
Step-by-step explanation:
we can put value in n .we can power add and subtract then we can cut 3 then power we can add or subtract
Find the length of AD
Answer:
What is the length of the BC line? It is not clear in the figure
Answer:
x=1
Step-by-step explanation:
as the two triangles are similar
So the equation is
5+x/12=5/10
50+10x=60
10x=60-50
10x=10
x=10/10
therefore
x=1
Simplify 45 / 3 + 2 * 8 - 12 + 42
Answer:
61
Step-by-step explanation:
What must the missing length be for the two figures to be similar
Answer:
30
Step-by-step explanation:
First do 25/20 to get the proportional rate which is 1.25
then multiply 24 by 1.25 to get 30
The missing length PQ must be 30 for the two figures to be similar.
For two figures to be similar, their corresponding sides must have proportional lengths. Lets denote the two given quadrilaterals as PQRS and ABCD. To find the missing length PQ, we need to determine the proportional relationship between the corresponding sides of Quad PQRS and Quad ABCD.
The corresponding sides are:
PQ and AB
QR and BC
RS and CD
PS and AD
Since Quad PQRS ~ Quad ABCD, we can set up proportions for the corresponding sides:
[tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}} = \frac{{RS}}{{CD}} = \frac{{PS}}{{AD}}\)[/tex]
Given:
QR = 25
RS = 25
AB = 24
BC = 20
DA = 28
Let's use the proportion [tex]\(\frac{{PQ}}{{AB}} = \frac{{QR}}{{BC}}\)[/tex] to find PQ:
[tex]\(\frac{{PQ}}{{24}} = \frac{{25}}{{20}}\)[/tex]
Cross-multiply to solve for PQ:
[tex]\(PQ \times 20 = 24 \times 25\)\\\\\(PQ = \frac{{24 \times 25}}{{20}}\)\\\\\(PQ = 30\)[/tex]
Therefore, PQ must be 30 for the two figures to be similar.
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draw a graph of y equals 7 + 4 x - 2x squared
a) use a graph to find the Turning point
b) use your graph to look for the roots .
Answer:
thanks man i really needed points
Step-by-step explanation:
Answer:
i really need it
Step-by-step explanation:
thanks for the points
Kelsey is trying to determine the change in the number of cars sold per month at a local car dealership. Which type of graph would best display the change over time? Month Cars Sold January 30 February 25 March 35 April 40 May 50 bar graph line graph line plot stem and leaf plot
Answer:
line graph i think
Step-by-step explanation:
i'm not sure, i don't even know but i tried
The line graph is best display the change over time to determine the change in the number of cars sold per month at a local car dealership.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
Kelsey is trying to determine the change in the number of cars sold per month at a local car dealership.
Now, We know that;
The line graph is best display the change over time.
Hence, The line graph is best display the change over time to determine the change in the number of cars sold per month at a local car dealership.
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(6x^2 -x + 8) + (3x-4)
Helppppp meeee
Answer:
6x2+2x+4
Step-by-step explanation:
6x^2 has no like terms
3x -x = 2x
8 - 4 = 4
6x^2 + 2x + 4
Please help. We have this for homework.
Answer:
Hey Jeffrey i got to ur school...
lol
Step-by-step explanation:
C
HAPPY THANKSGIVING!!
solve 2y + 1 ≤ 7
Answer:
y should be less then or equal to 3
Step-by-step explanation:
happy thanksgiving
PLEASE ANSWER!
Rashida played a trivia game. each correct answer is worth 2 1/4 points, and each incorrect answer is worth -1/2 points. If Rashida got 18 correct answers and 12 incorrect answers, what is her final score?
Answer:
34.5
Step-by-step explanation:
Trust me
For the following triangle,
Answer:
3 angles?
Step-by-step explanation:
What is that simplified
Answer:
5/8
Step-by-step explanation:
yyyyyyyyyyyyyyyyyyeeeeeeeeeeeeeeeeeettttttttttt
Answer:
yummy
Step-by-step explanation:
Answer:
12+12= 24
Step-by-step explanation:
ARE THESE FUNCTIONS
-TABLE A IS A FUNCTION
-TABLE B IS A FUNCTION
-NEITHER
-BOTH
HELP
9514 1404 393
Answer:
Table B is a function
Step-by-step explanation:
The relation shown in a table is NOT a function if the same input value gives different output values.
In Table A, input Taurus gives different outputs, so Table A is NOT a function.
In Table B, there are no repeated inputs, so Table B IS a function.
The total cost for four people to bowl one game is $21. Each person paid $1.50 to rent their shoes, in addition to the cost of the game, c. Which of the following equations could be used to find the value of c?
Answer: 6 + 4c = 21
Step-by-step explanation:
Answer:
4( c + $1.50 )
Step-by-step explanation:
4( c + $1.50 )
The question tells you that the total price for FOUR people is $21, and then ask about the cost PER PERSON, meaning that you need to figure out the cost of a singular person.
The question tells you that each person pays $1.50 and they also need to pay for a game, which they have given the value to be c.
So the you add those two cost together ($1.50 + c) and then multiple it by 4 as the question originally tells you that there are 4 players.
I answered it
Philip made tables of values to solve a system of equations. First he found that the x-value of the solution was between 0 and 1, and then he found that it was between 0.5 and 1. Next he made this table. Which ordered pair is the best approximation of the exact solution.
Answer:
Step-by-step explanation:
monster
how do I identify slope on a graph
Answer:
Rise/run or y=mx+b
Step-by-step explanation:
Help plz someone help me plz ty
Answer: 18.75 for each girl
Step-by-step explanation:
First you take the unit rate 2.50 multiply by 5.
2.50 x 5 = 12.50
12.50 x 3 = 37.50
37.50 / 2 = 18.75
To join a Yoga club there is a $100 annual fee and a $5 fee for each class you attend.
Use the above information to answer the question below.
If your total payment is $225, how many classes did you attend?
Answer:
25
Step-by-step explanation:
make an equation
100+5x=225
solve for your x
5x=125
x=25
Answer:
25 classes
Step-by-step explanation:
225 - 100 = 125
125/5 = $25
(2,5), 3, 6) rate of change and slope
Answer:
1 for both slope and rate of change
Step-by-step explanation:
Slope is another word for the rate of change of y with respect to x.
which shape has the greatest number of lines of symmetry
Answer:
E
Step-by-step explanation:
It has 4 lines I think
Please mark brainliest!
Answer:
D-I believe its the square
Step-by-step explanation:
because a square has four lines of symmetry and the other one have less than four
simplify 5/4+4(3/4−1/2)^2
Step-by-step explanation:
5/4+(12/4_1/2)^2
5/4+((12_8)/4)^2
5/4+1
9/4
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{3}{4}[/tex] - [tex]\frac{1}{2}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 ([tex]\frac{1}{4}[/tex] )²
= [tex]\frac{5}{4}[/tex] + 4 × [tex]\frac{1}{16}[/tex]
= [tex]\frac{5}{4}[/tex] + [tex]\frac{1}{4}[/tex]
= [tex]\frac{6}{4}[/tex]
= [tex]\frac{3}{2}[/tex]
Andre ran 0.66 miles in 4 minutes. What is the fraction equivalent to 0.66?
Answer:
2/3
Hope that helps!
Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.
893.76 divided by 0.21
Answer:
4.265
Step-by-step explanation:
893,76/ 0,21= 4.265
Doritos' logo is shown to the right. They plan to take the triangular part of the logo shown to the right and enlarge it to fit on a shirt they are using as a promotional give- away. The triangle currently has lengths of 6cm ( side on the left closets to the "D", 4cm (bottom), and 5cm (side on top right). To fit the shirt, they need the side on the left to have a length of 18cm.
a) Set up the proportions
b) Solve for the missing two lengths for the t- shirt design.
please help
9514 1404 393
Answer:
a) 18/6 = b/4 = r/5
b) b = 12, r = 15
Step-by-step explanation:
a) The proportion will simply state the fact that the ratio of shirt dimension to logo dimension is the same for all. We'll use 'b' for the bottom dimension and 'r' for the upper right dimension. Then the proportions are ...
shirt/logo = 18/6 = b/4 = r/5
__
b) In each case, multiply by the denominator to find the value of the variable.
3(4) = b = 12
3(5) = r = 15
The bottom dimension is 12 cm; the top right dimension is 15 cm.
The work shown is a way to derive Tangent (x + y) = StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction
What expressions go in the derivation of the tangent sum identity in place of A, B, and C?
Cos y cos x tan y sin x
Answer:
A: cos x
B: cos y
C: tan y
Step-by-step explanation:
The missing value of A, B and C are as follow:
A: cos x
B: cos y
C: tan y
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
sin (x-y)/ cos (x- y)
Step 2:
= sin x cos y + cos x sin y / cos x cos y - sin x sin y
Step 3:
= (sin x cos y + cos x sin y) / cos x cos y ÷ ( cos x cos y - sin x sin y ) / cos x cos y
step 4:
= sin x cos y/ cos x cos y + cos x sin y / cos x cos y ÷
(cos x cos y / cos x cos y - sin x sin y / cos x cos y)
Step 5:
= tan x + tan y / 1- tan x tan y
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Need help on this one thx
Halle el volumen de un bloque cúbico de hormigón de 1.9 m de lado