Answer:
a, 14.13. b, 39.25
Step-by-step explanation:
so for a the diameter is 6 so the radius is 3. The equation for the area of the circle is πr2. So 3x3=9. then 9x3.14=28.26. But then we have to divide by two cause we are finding only the shaded area. 28.26/2=14.13.
A is 14.13
for b, its the same thing, so the radiu is 5 and 5x5=25. 25x3.14=78.5, and divide two, so 78.5/2=39.25.
B is 39.25
WARNING: I am not sure this is correct, so if this is wrong i'm sorry, i'm learning too :)
Find the volume. Leave answer in exact form (in terms of π)
Answer:
704π
Step-by-step explanation:
V = π×r²×h
= π×8²×11
= 704π yd³
Need help please!
(5^3)^6
Answer:
[tex]5^{18}[/tex]=3,814,697,265,625
Step-by-step explanation:
Multiply the exponents
3×6=18
[tex]5^{18}[/tex]
Answer:
Simplest value of given expression = 5¹⁸
Step-by-step explanation:
Given algebraic equation;
[5³]⁶
Find:
Simplest value of given expression
Computation:
Given fraction [5³]⁶
Using Property of exponents
[Xᵃ]ᵇ = X ᵃ ˣ ᵇ
So,
Using Property of exponents
⇒ [5³]⁶
⇒ 5 ³ ˣ ⁶
⇒ 5¹⁸
Simplest value of given expression = 5¹⁸
how many halves are in 2 whole objects
Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did Sam buy the electric iron
Answer:
$2475 or $1875
Step-by-step explanation:
Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475
However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625
$2500-$625= $1875
The graph shows a line and two similar triangles.
On a coordinate plane, a line goes through (0, 0) and (6, 4). A small triangle has a rise of 2 and run of 3. A larger triangle has a rise of 4 and run of 6.
Which expression finds the equation of the line?
StartFraction y Over x EndFraction = three-halves
StartFraction y Over x EndFraction = two-thirds
StartFraction y Over 2 EndFraction = StartFraction 3 Over x EndFraction
StartFraction y Over 3 EndFraction = StartFraction x Over 2 EndFraction
Answer: Choice B) [tex]\frac{y}{x} = \frac{2}{3}[/tex]
This is the same as saying y/x = 2/3
Or I suppose you could say "y over x = two-thirds".
===============================================
Explanation:
Recall that slope is rise over run
slope = rise/run
The rise being the change in y, while the run is the change in x.
So we could informally think of it as slope = y/x
-----------
Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.
The slope is both y/x and also 2/3.
Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.
-----------
Side notes:
This trick only works when the line goes through the origin (0,0)To rephrase the last bullet point, the line must have y intercept 0.If you multiplied both sides by x, then you get y = (2/3)xAnswer:
B
Step-by-step explanation:
(-_-)
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
6. Show how to simplify the expression 8x + 3 + 4x - 2 without using algebra tiles. Describe each step of the process.
Answer:
12x+1
Step-by-step explanation:
8x+3+4x-2
8x+4x+3-2
Arranging Like terms
12x+1
Adding Like terms (8x+4x) and Substracting numbers ! ++- = - So we substrate it and in addition we don't change symbols so 3 is greatest number so we write + there !
The equation of line a is y=-x+ 3. If line b runs perpendicular to line a and
passes through (2, 6), what would be the equation of line b?
Answer:
y = 4x -2
Step-by-step explanation:
y = 4x + b
6 = 4(2) + b
6 = 8 + b
-2 = b
Given: APRS, RS=10
mZP=45º, mzS=600
Find: Perimeter of APRS
Answer:
Perimeter of ΔPRS = 35.91 units
Step-by-step explanation:
From the figure attached,
By applying triangle sum theorem in the given triangle PRS,
m∠P + m∠R + m∠S = 180°
45° + m∠R + 60° = 180°
m∠R = 75°
By applying sine rule,
[tex]\frac{\text{sinP}}{RS}= \frac{\text{sinS}}{PR}=\frac{\text{sinR}}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
[tex]\frac{\text{sin}(45^{\circ})}{10}= \frac{\text{sin}(60^{\circ})}{PR}[/tex]
PR = 12.25 units
[tex]\frac{\text{sin}(45^{\circ})}{10}=\frac{\text{sin}(75^{\circ})}{PS}[/tex]
PS = 13.66 units
Perimeter of triangle PRS = PR + PS + RS
= 12.25 + 13.66 + 10
= 35.91
Graph: f(x) = 3/2 (2)x
Step 1: Calculate the initial value of the function.
f(0)=
Answer:
Step 1: 1.5
Step 2: Plot the points (0, 1.5)
Step 3: 3, then 0.75
Step 4: Plot the points (1, 3) and (-1, 0.75)
Step 5: y=0
Step-by-step explanation:
Ur welcome and have a nice day :>
The initial value of the function f(x) = 3/2 (2)^x is 3/2
How to calculate the initial value of the function?The function expression is given s:
f(x) = 3/2 (2)^x
Substitute 0 for x
f(0) = 3/2 (2)^0
Evaluate the exponent
f(0) = 3/2 * 1
Evaluate the product
f(0) = 3/2
Hence, the initial value of the function is 3/2
Read more about exponential functions at:
https://brainly.com/question/11464095
I don't think that there is enough info for this problem, but could someone try to help?
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
i need help
measure of each labeled angle
Answer:
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex]
[tex]\sf m\angle B = 2x = \bf 80^o [/tex]
[tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]
Step-by-step explanation:
A figure is given to us , in which two lines are parallel to each other. There are two transversals to the || lines . We know that the measure of a straight line is 180° . Therefore ,
[tex]\sf\longrightarrow \angle A +\angle B = 180^o [/tex]
Substitute the given values ,
[tex]\sf\longrightarrow 3x - 20^o + 2x = 180^o [/tex]
Simplify the RHS by adding the variables ,
[tex]\sf\longrightarrow 5x - 20^o = 180^o [/tex]
Add 20° to both sides ,
[tex]\sf\longrightarrow 5x = 180^o + 20^o [/tex]
Add the numbers in RHS ,
[tex]\sf\longrightarrow 5x = 200^o [/tex]
Divide both sides by 5 ,
[tex]\sf\longrightarrow \boxed{\blue{\sf x = 40^o}}[/tex]
Therefore ,
[tex]\sf m\angle A = 3x - 20^o = \bf 100^o [/tex] [tex]\sf m\angle B = 2x = \bf 80^o [/tex] [tex]\sf m\angle C = 2x - 15^o = \bf 65^o [/tex]Which rule is a recursive rule for the sequence 1,-6,36, -216
Answer:
3rd option
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
r = - 6 ÷ 1 = 36 ÷ - 6 = - 216 ÷ 36 = - 6
To obtain a term in the sequence multiply the previous term by - 6
Then the recursive rule is
[tex]a_{n}[/tex] = - 6 . [tex]a_{n-1}[/tex]
Answer: 1*6°=6
1*(-6)^1=-6
1*(-6)^2=36
1*(-6)^3=-216
What values complete the table if y = x√3
x
3
?
Answer:
O . A) -3, 0 , 3
Step-by-step explanation:
Since y is equal to
[tex] \sqrt[3]{x} [/tex]
Just replace X with the values in the first box
Anyone knows the answer?
Answer:
D) (2,-1)
Step-by-step explanation:
These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.
A standard deck of 52 cards has 13 ranks (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King) and 4 suits ($\spadesuit$, $\heartsuit$, $\diamondsuit$, and $\clubsuit$), such that there is exactly one card for any given rank and suit. Two of the suits ($\spadesuit$ and $\clubsuit$) are black and the other two suits ($\heartsuit$ and $\diamondsuit$) are red. The deck is randomly arranged. What is the probability that the top card is a 3 and the second card is an eight
Answer:
4 / 663
Step-by-step explanation:
Given that :
Number of cards in a standard deck = 52
Number of 3's in s standard deck = 4 (each suit has one card each)
Number of 8's in a standard deck = 4 (each suit has one card each)
Probability, P = required outcome / Total possible outcomes
Choosing without replacement :
P(top card is a 3) = 4 / 52
P(second draw is 8) = 4 / 51
P(top card is a 3 and second is 8) :.
4/52 * 4/51 = 16 / 2652 = 4 / 663
Afreen says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?
Answer:
The 3 ses that we found are:
{4, 5, 6}
{64, 65, 66}
{124, 125, 126}
Step-by-step explanation:
3 consecutive numbers are written as:
n, (n + 1), (n + 2)
We know that the first one is a multiple of 4.
Then n is a multiple of 4:
n = k*4
where k is an integer.
The second one is a multiple of 5, then:
(n + 1) = j*5
where j is an integer.
The last one is a multiple of 6.
(n + 2) = p*6
where p is an integer.
We want to find 3 sets.
The first one is trivial:
n = 4
n + 1 = 5
n + 2 = 6
4 is a multiple of 4
5 is a multiple of 5
6 is a multiple of 6.
Now let's find a set that is not trivial.
First, remember that all the multiples of 5 end with a 0 or a 5,
Then we can look for a value n, that is multiple of 4, and that has a last units digit equal to 4 (then the next one will have a units digit and will be multiple of 5)
For example, 4*6 = 24
24 is a multiple of 4.
The next number is 24 + 1 = 25, which is multiple of 5.
The next number is 25 + 1 = 26, which is not multiple of 6.
So let's try again.
4*11 = 44, is a multiple of 4.
The next number is 44 + 1 = 45
45 is a multiple of 5.
The next number is 45 + 1 = 46, which is not multiple of 6
So we need to try with another set.
4*16 = 64, is a multiple of 4.
The next number is 64 + 1 = 65, which is multiple of 5.
The next number is 66, which is multiple of 6:
6*11 = 66
Then the set:
n = 64
n + 1 = 65
n + 2 = 66
Is a possible set.
Now we can keep trying this, we can see that the next set has the numbers:
n = 4*31 = 124 is a multiple of 4.
The next number, is 124 + 1 = 125, which is a multiple of 5.
The next number is 125 + 1 = 126, which is multiple of 6
6*21 = 126
Then the set:
n = 124
n + 1 = 125
n + 2 = 126
Is another possible set.
The 3 ses that we found are:
{4, 5, 6}
{64, 65, 66}
{124, 125, 126}
Tiana uses the equation c = 21h to figure out the total amount, c, she should
charge a customer for babysitting for h hours.
a. What is the constant of proportionality? What does it mean?
b. Tiana charges $94.50 for a job. How long did she babysit for?
Show your work.
Answer:
a. The constant of proportionality is, 21
b. Tiana charges $94.50 for a job, so, c=94.50
from the given equation,
c = 21h
or, 94.50 = 21h
or, h = 94.50/21
or, h = 4.5
She babysit for 4.5 hours.
Answered by GAUTHMATH
c = 21h
94.50 = 21h
h = 94.50 ÷ 21
h = 4.5hours.
Therefore, Tiana spent 4½ hours babysitting.
Learn more: https://brainly.com/question/20986361?referrer=searchResults
Can someone help me with this math homework please!
Answer:
1.33 & n - 6 = 0.75(t - 8)
Explanation:
Speed can be calculated as miles ÷ minutes
4 ÷ 3 = 1.33 and 8 ÷ 6 = 1.33 as well
Since we know the n and t, we can substitute one into the equation to find the other (substitute t = 8 into all four equations and see do we get n = 6)
You can do this with t = 4 and n = 3 as well
Answer:
you are a great woman removing the sum o saare and pa and pa to the lord and your life to you for drawing the sum o the streets
write y=4x+3 in mapping notation
Answer:
y=7x
Step-by-step explanation:
because y= 4x+3=7x
Instructions: Find the measure of the indicated angle to the nearest degree.
Step-by-step explanation:
I don't have a calculator with me right now but I can give you the equation to work out your answer.
cos-1(35/38)
There should be a function of "cos-1" on you're calculator, not just "cos"
hope it helps :)
what is the value of 5 in the number 68.513?
Answer:
00000000.1
Step-by-step explanation:
1+1=2-1%000.1
3 to the power 10=
Pls answer fast
The answer is 59049.
Kuaaahahahahahahahah!
Carlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
Amanda has six more than four times the number of crayons that Clyde has. (write the equation)
Answer:
y = 4x + 6Step-by-step explanation:
Clyde has x crayons.
Amanda has y crayons.
The equation:
y = 4x + 6Sage is 7 years older than Jonathan. If Jonathan is x years old, how old was Sage 10 years ago?
Answer:
(x-3) years
Step-by-step explanation:
We are given that
Age of Jonathan= x years
Sage is 7 years older than Jonathan
It means
Age of Sage=(x+7) years
We have to find the age of Sage 10 years ago.
10 Years ago,
Age of Jonathan=(x-10) years
Age of Sage=(x+7-10) years
Age of Sage=(x-3) years
Hence, 10 years ago, age of Sage =(x-3) years
Question 2.
If 0 is an angle in the first quadrant, and cos(θ) = 0.669, determine the value of
cos(π - θ), cos(π + θ), and cos(4π - θ) using Symmetry.
Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
Find the surface area and volume for each of the following:
Answer:
mark brainlist..............
I know you have to use the half life formula but I don’t know how to use it could someone show how to find the solution step by step? Thank you
Answer:
[tex]A = Pe ^{-0.03108 * t}[/tex]
Step-by-step explanation:
Note: these are typically two part questions...
you have the model and have to FIRST find a constant value "k"
once you have the "k" value you plug that into the model to finish the problem
[tex]A = Pe ^{-kt}[/tex] is a typical version of the continuous decay...
e is "e 2.717" not a variable "e"
so... step 1.. fink k
you are told that the 1/2 life is 22.3 years...
so lets assume that we started with 2 units of lead, and waited for it to decrease to 1 (1 is 1/2 of 2)
you would have
1 = 2[tex]e^{k * 22.3}[/tex]
.5 = [tex]e^{k * 22.3}[/tex]
ln(.5) = 22.3k ln(e)
ln(e) = 1
ln(.5) = 22.3k
ln(.5) = 22.3k ln(e)
[tex]\frac{ln(.5) }{22.3} = k[/tex]
[tex]\frac{\ln \left(0.5\right)}{22.3}=-0.03108[/tex] = k
need help, please need help
Answer:
Step-by-step explanation:
thats your problem learn how to pay attention lol