Answer:
Step-by-step explanation:
Using 3.14 as pi.
Perimeter of a circle = 2*pi*radius
= 2*3.14*10
= 62.8 cm
Area of a circle = pi*radius*radius
= 3.14*10*10
= 314 cm^2
Solution:
Formulas to remember:
Circumference of circle = 2πr (r = radius)Area of circle = πr² (r = radius)Finding the circumference of the circle:
Circumference of circle = 2πr=> Circumference of circle = 2 x 22/7 x 10=> Circumference of circle = 44/7 x 10=> Circumference of circle = 440/7 ≈ 62.86 cmFinding the area of the circle:
πr² = Area of circle=> 22/7 x 10 x 10 = Area of circle=> 22/7 x 100 = Area of circle=> Area of circle = 2200/7 cm² ≈ 314.29 cm²Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)
sin(V-U)
cos(U-V)
cosU:-
[tex]\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25[/tex]
As U lies in Q3
cosU=-24/25sinV
[tex]\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4[/tex]
As V lies in Q3
sinV=-3/5So
sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/1253. Order each set of numbers from least to greatest.
a. 4, 8, -2,-6,0
Answer:
-2,-6,0,4,8
Step-by-step explanation:
-2 is the least because all other numbers are greater than it(i.e any negative number is less than 0)
Carla drew a picture that was 7/10 of an inch long. Her picture was 0.67 inches wide. Which is greater, the length or width? explain why.
Answer:
width
Step-by-step explanation:
7/10= 7 divided by 10= 0.7
and 0.67 id greater than 0.7
Which of the following functions best describes this graph?
A. y = x^2 + x - 12
B. y = x^2 - 9x + 18
C. y = x^2 + 9x + 18
D. y = x^2 - 5x + 6
can you help me with the answer?
Answer:
11/6
Step-by-step explanation:
- 1/3y + 3/2
1/3 x 2 = 2/6
3/2 x 3 = 9/6
11/6
Have an amazing day!
PLEASE RATE!!!
Which line represents a direct variation function?
line b
line a
line d
line c
image added
i need help with this problem please
Answer:
Given, altitude, h = 6 inches, base, b = 16 inches
Now,
Area = 1/2 × b × h
= 1/2 x 16 × 6
= 48 Square inches.
Calculate the probability for the following situation: You are tossing a coin, then rolling a die, then drawing a card from a deck of cards. What is the probability that you will get: a head AND an odd number on the die AND a card greater than 3 (assume the ace is equal to 1) from the deck?
Answer:
Flipping the coin:
P( H ) = 1/2
---------------------
Rolling the die:
There are 6 numbers
1,2,3,4,5,6
3 of them are odd, so
P( odd ) = 3/6
P( odd ) = 1/2
Step-by-step explanation:
There are 52 cards in a deck
There are +9%2A4+=+36+
cards less than +10+
P( <10 ) = 36/52
P( <10 ) = 9/13
-----------------
Since you want ALL the above,
multiply probabilities
+%281%2F2%29%2A%281%2F2%29%2A%289%2F13%29+=+9%2F52+
A phone company offers two monthly plans. Plan A costs $15 plus an additional $0.14 for each minute of calls. Plan B has no initial fee but costs $0.18 for each
minute of calls.
Step-by-step explanation:
x = number of minutes
first cost function :
c(x) = 0.14x + 15
the second cost function :
c(x) = 0.18x
I guess, the question (not written in the description) is after how many minutes call time the first plan breaks even with the second plan and further becomes the better choice ?
0.18x = 0.14x + 15
0.04x = 15
x = 15/0.04 = 375
with 375 minutes calling time per month the first plan costs the same as the second plan.
and starting with 376 minutes per month the first plan becomes the cheaper option.
under 375 minutes per month the second plan is the cheaper option.
step by step please
Solution:
We know that:
Given equation: 1/4(x - 2) = 3 - (x + 1/6)Simplify the distributive property.
1/4(x - 2) = 3 - (x + 1/6)=> x/4 - 2/4 = 3 - x - 1/6Further simplify both sides.
x/4 - 2/4 = 17/6 - xSubtract 17/6 both sides.
x/4 - 2/4 - 17/6 = 17/6 - 17/6 - x=> x/4 - 6/12 - 34/12 = -x=> x/4 - 40/12 = -xSubtract x/4 both sides.
x/4 - x/4 - 40/12 = -x - x/4=> -40/12 = -5x/4Use cross multiplication.
=> -160 = -60xDivide -60 both sides.
-160/-60 = -60x/-60=> x = 160/60 = 2 40/60 = 2 2/3I just need help :);
if x+1/x= 3 then x-1/x = ?
Answer:
If x+1/x= 3 Then the answer for this equation (x-1/x=? ) will be...
Step-by-step explanation:
Just the last question please it is due in 45 minutes!!!
Which of the following fractions is equivalent to 1.68? A. 25/42 B. 17/25 C. 42/25 D. 7/4
Answer:
42/25 or C
Step-by-step explanation:
Just by looking at the answers, we can eliminate A and B because the equivalent decimals of those would result in a number that is less than one.
Then, you can eliminate D because 7/4 is equal to 1.75
Therefore, your answer would be C, 42/25.
Find the sum of the following arithmetic sequence. 4,10,16,22,28
Answer:
Step-by-step explanation:
This is the formula to find the sum of the first
n
terms of the sequence. To evaluate it, the values of the first and
n
the terms must be found .Sn=n2⋅(a1+an)
This is an arithmetic sequence since there is a common difference between each term. In this case, adding
6
to the previous term in the sequence gives the next term. In other words,
an=a1+d(n−1)x Arithmetic Sequence:
d=6 This is the formula of an arithmetic sequence X an=a1+d(n−1)Substitute in the values of a1=4 and d=6 x an=4+(6)(n−1)Simplify each term.
an=4+6n−6 Subtract 6 from 4 x an=6n−2 Substitute in the value of N to find the N the term x a5=6(5)−2 Multiply 6 by 5 x a5=30−2 Subtract 2 from 30 x a5=28 Replace the variables with the known values to find
S5 x S5=52⋅(4+28)Add 4 and 28 x S5=52⋅32
Cancel the common factor of
2.
S5=5⋅16 Multiply 5 by 16 x S5=80
Convert the fraction to a decimal.
S5=80
Pleaseee help me someone. I have test . pleaseeeeeeeee
Step-by-step explanation:
let mv be x. I hope that helps!
What is the value of X ?
28 is what percent of 64?
Solution:
Note that:
64 × x/100 = 28Simplifying the LHS:
64 × x/100 = 28=> 64x/100 = 28Using cross multiplication:
64x/100 = 28=> 64x = 2800Divide 64 both sides.
=> x = 2800/64 = 43.75%28 is 43.75% of 64
x>10 which answer would work as a solution to this inequality
Answer:
x>10= x11
Step-by-step explanation:
x>10 and 10 or above could be the answer
the weight of an apple is 150g, rounded to the nearest 5g. What is the lower bound of the weight of the apple?
What is the upper bound of the weight of the apple?
Answer:
1 answer
Answer:lower bound = 147.5gupper bound = 152.5gStep-by-step explanation:if you were rounding a single digit number to the nearest 5, ...
Step-by-step explanation:
You visit an island of Knights, Knaves, and Spies. Knights always tell the
truth, Knaves always lie, while Spies can say anything (truth or lie). You
meet three inhabitants, John, Bill, and Tom. One is a Knight, one is a Knave,
and one is a Spy. John says: “I am a knight", Bill says: “John is telling the truth,
and Tom says: “I am the spy!". Determine what type of people John, Bill, and
Tom are. (3 marks)
Answer:
John's a knight bill's a spy Tom is knave
Step-by-step explanation:
John's a knight cuz they can say the truth and Bill is a spy cuz he is not lying that John's a knight and Tom is knave he can only lie pls mark me as brainliest
Madeline uses a scale model of a design she plans to paint on a wall she uses the key 1 CM =1.5 ft. One gallon of paint will cover 400 square feet of wall .How many gallons of paint will Madeline use? Enter your answer as a decimal in the box.
Madeline would need to use 0.82 gallon of paint
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the scale 1 cm = 1.5 ft.
(1 cm)² = (1.5 ft.)²; 1 cm² = 2.25 ft²
The area of the figure = area of trapezoid + area of triangle
Area = (1/2) * (10) * (14 + 4) + (1/2) * 14 * (18 - 10) = 146 cm²
146 cm² = 146 cm² * 2.25 ft² per cm² = 328.5 ft²
1 gallon = 400 ft², hence:
328.5 ft² = 328.5 ft² * 1 gallon per 400 ft² = 0.82 gallon
Madeline would need to use 0.82 gallon of paint
Find out more on equation at: https://brainly.com/question/2972832
Answer:
0.82125
Step-by-step explanation:
I took the test and got it wrong
Chase found new pants for $35.55 plus 7.5% tax. What is the final price of the new pants?
Answer:
$38.22
Step-by-step explanation:
7.5% of $35.55 = $2.66625
= $2.67
$35.55 + 2.67 = $38.22 after tax
Answer:
$38.22
Step-by-step explanation:
Given the following question:
7.5% of 35.55
To find the answer we must first find 7.5% of 35.55 using the formula to calculate percentages, and then we add that answer to the current price of the pants.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{7.5\times35.55}{100}[/tex]
[tex]7.5\times35.55=266.625[/tex]
[tex]266.625\div100=2.66625[/tex]
[tex]=2.66625[/tex]
Round the answer to the nearest cent:
[tex]2.66625[/tex]
[tex]6 > 5[/tex]
[tex]=2.67[/tex]
7.5% of 35.55 is "$2.67."
Now we add the answer to the current price:
[tex]35.55[/tex]
[tex]35.55+2.67=38.22[/tex]
[tex]=38.22[/tex]
The cost of the new pants after a 7.5% tax is "$38.22."
Hope this helps.
need help solving this please
Answer:
A) x=39
Step-by-step explanation:
117 = 3x
117 divided by 3 = 39
3x = 117
3(39) = 117
117 = 117
A) x = 39
Amir stands on a balcony and throws a ball
The balls heigh:x
is modeled by
h(x)=-(x+1)(x-7).
How many seconds after being thrown will ball reach its max height.
Answer:
69420
Step-by-step explanation:
when the ball goes whooo, it's max height goes sicko mode.
equation: β⇵πΔ = 69 times
∨xe⇵Δ 420
answer:
69420
36 ÷ 2² × 4² this is my question guys:)
Answer:
144
Step-by-step explanation:
Following the order of operations PEMDAS:
ParenthesesExponentsMultiplication and divisionAddition and subtraction36 ÷ 2² × 4²
Carry out the exponents first:
⇒ 36 ÷ 4 × 16
Now carry out the operations from left to right:
⇒ 9 × 16 = 144
Master Mason wants to treat all the
Kids at school. How packs of 15 fudge does he need for 151 children?
Answer:
11
Step-by-step explanation:
you would have to divid 15 from 151
151/15= 10.06
since you cant get a part of a pack you would have to round up which is 11 to treat all of the kids
Answer:
he will need 11 packs of fudge
Step-by-step explanation:
to answer this question you will divide 151 by 15 and you will get 10.066. you cannot bring 0.066 packs of fudge so you would bring one extra meaning you would bring 11 packs total.
what is the number added to 24 and subtracted by 5 the total is 50. find the number
answer it with a explanation pls
Answer:
31
Step-by-step explanation:
When you add 31 + 24 = 55
55 - 5 = 50
Pls help me in all of these question
0
1 cos 4
lim .
x ( 1) x
x
I
x e
Answer:
Hello, please consider the following.
Evaluate the limit of the numerator and the limit of the denominator.
Tap for more steps...
0
0
Since
0
0
is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.
lim
x
→
0
e
x
2
−
1
cos
(
x
)
−
1
=
lim
x
→
0
d
d
x
[
e
x
2
−
1
]
d
d
x
[
cos
(
x
)
−
1
]
Find the derivative of the numerator and denominator.
Tap for more steps...
lim
x
→
0
2
e
x
2
x
−
sin
(
x
)
Evaluate the limit of the numerator and the limit of the denominator.
Tap for more steps...
0
0
Since
0
0
is of indeterminate form, apply L'Hospital's Rule. L'Hospital's Rule states that the limit of a quotient of functions is equal to the limit of the quotient of their derivatives.
lim
x
→
0
2
e
x
2
x
−
sin
(
x
)
=
lim
x
→
0
d
d
x
[
2
e
x
2
x
]
d
d
x
[
−
sin
(
x
)
]
Find the derivative of the numerator and denominator.
Tap for more steps...
lim
x
→
0
4
e
x
2
x
2
+
2
e
x
2
−
cos
(
x
)
Take the limit of each term.
Tap for more steps...
4
e
(
lim
x
→
0
x
)
2
⋅
(
lim
x
→
0
x
)
2
+
2
e
(
lim
x
→
0
x
)
2
−
cos
(
lim
x
→
0
x
)
Evaluate the limits by plugging in
0
for all occurrences of
x
.
Tap for more steps...
4
e
0
2
⋅
0
2
+
2
e
0
2
−
cos
(
0
)
Simplify the answer.
Thank you
Step-by-step explanation: