Answer:
Circumference is about 185.26 cm.
Area is about 2732.585 [tex]cm^{2}[/tex]
Step-by-step explanation:
Circumference = 2πr
2 x 3.14 x 29.5 = 185.26
Area of a circle = π[tex]r^{2}[/tex]
3.14 x 29.5 x 29.5 = 2732.585
The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?
Answer:
$840
Step-by-step explanation:
Given data
The cost of material is $315
The ratio is
3:4:1
The total number of part is
3+4+1= 8
Let us apply the part to all method
let the total cost be x
hence
3/8=315/x
cross multiply
3x= 8*315
3x= 2520
divide both sides by 3
x= 2520/3
x= $840
Hence the total money is $840
Find the measure of each interior angle of a regular 78-gon. Round to the nearest
tenth.
Answer:
yes
Step-by-step explanation:
Parker went shopping for a new pair of sneakers. Sales tax where he lives is 5%. The price of the pair of sneakers is $23. Find the total price including tax. Round to the nearest cent.
Answer:
c
Step-by-step explanation:
cc
Katie draws marbles from a bag. She drew 6 red marbles out of 20 marbles she picked. If she were to draw 10 more marbles, how many of those 10 can she predict to be red?
2
3
4
5
Answer:
4
Step-by-step explanation:
If red marbles are 10 then answer is 4
is this graph a negative association or positive association
Answer:
This graph is positive
Step-by-step explanation:
which expression is equivalent to 3(y-6)? (A.3y-6) (B.2y-18+y) (C.5y+18-2y) (D.2y-18-5y
Answer:
Step-by-step explanation:
3(y-6)=3y-18
which can be expressed as
2y-18+y
A computer technician charges $60 to come to a home to repair a
computer and $75 per hour for labor. Over 3 days, the technician
earned $825. He went to 5 homes. How many hours did he work on
computers?
Answer:
5 hours
Step-by-step explanation:
which equation in NOT an example of a liner function?
Please help with this!!
Answer:
2x + 4
Step-by-step explanation:
So sorry if this is wrong, I'm rusty in this area of math
Write an exponential function to describe the given sequence of numbers,
7. 28. 112, 448, 1792)
Answer:
y=7*4^(x-1)
Step-by-step explanation:
y=a*b^(x-1)
x=1, 7=a
28=7b
b=4
y=7*4^(x-1)
<1
Solve for <1.
« 1 = [?]
O
49°
49°
Answer:
∡1 = 82°
Step-by-step explanation:
The sum of the angles of a triangle is 180°.
You could find the missing angle by the following steps:
49° + 49° + x = 180°
x is the missing angle ∡1. Simplify the like terms.
98° + x = 180°
Bring 98° to the other side: makes it -98. This is done to find the value of x.
x = 180° - 98°
x = 82°
What is the range of the function shown on the graph above
Answer:
d
Step-by-step explanation:
there isnt an arrow saying it keeps going past 10
Please solve the following sum or difference identity.
You are given that [tex]\displaystyle\sin(A) = \frac{24}{25}[/tex], with [tex]A[/tex] in Quadrant I, and [tex]\displaystyle\sin(B) = -\frac{4}{5}[/tex], with [tex]B[/tex] in Quadrant IV. Find [tex]\sin(A-B)[/tex]. Give your answer as a fraction.
Answer:
[tex]sin(A - B) = \frac{4}{5}[/tex]
Step-by-step explanation:
Given:
[tex]sin(A) = \frac{24}{25}[/tex]
[tex]sin(B) = -\frac{4}{5}[/tex]
Need:
[tex]sin(A - B)[/tex]
First, let's look at the identities:
sum: [tex]sin(A + B) = sinAcosB + cosAsinB[/tex]
difference: [tex]sin(A - B) = sinAcosB - cosAsinB[/tex]
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) = [tex]\frac{24}{25}[/tex]
cos(A) = [tex]\frac{7}{25}[/tex]
sin(B) = [tex]-\frac{4}{5}[/tex]
cos(B) = [tex]\frac{3}{5}[/tex]
Plug these values into the difference identity formula.
[tex]sin(A - B) = sinAcosB - cosAsinB[/tex]
[tex]sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})[/tex]
Multiply.
[tex]sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})[/tex]
Add.
[tex]sin(A - B) = \frac{4}{5}[/tex]
This is your answer.
Hope this helps!
Answer:
[tex]\mathsf {sin (A - B) =\frac{4}{5} }[/tex]
Step-by-step explanation:
[tex]\textsf {Trigonometric Identities to keep in mind :}[/tex]
[tex]\mathsf {sin (A - B) = sinAcosB - cosAsinB}[/tex][tex]\mathsf {sin \theta = opposite/hyporenuse}[/tex][tex]\mathsf {cos \theta = adjacent/hypotenuse}[/tex][tex]\textsf {To find cos A and cos B, we can use the Pythagorean Theorem} \\\textsf {to find the missing sides so we can take the ratio.}[/tex]
[tex]\textsf {Finding the adjacent side of angle A :}[/tex]
[tex]\implies \mathsf {24^{2} + x^{2} = 25^{2} }[/tex]
[tex]\implies \mathsf {x^{2} = 625 - 576 }[/tex]
[tex]\implies \mathsf {\sqrt{x^{2} } = \sqrt{49} }[/tex]
[tex]\implies \mathsf {x = 7}[/tex]
[tex]\textsf {Hence, cos A will be :}[/tex]
[tex]\implies \textsf {cosA = 7/25 (as cos is positive in the 1st Quadrant)}[/tex]
[tex]\textsf {Finding the adjacent side of angle B :}[/tex]
[tex]\implies \mathsf {4^{2} + x^{2} = 5^{2} }[/tex]
[tex]\implies \mathsf {x^{2} = 25 - 16 }[/tex]
[tex]\implies \mathsf {\sqrt{x^{2} } = \sqrt{9} }[/tex]
[tex]\implies \mathsf {x = 3}[/tex]
[tex]\textsf {Hence, cos B will be :}[/tex]
[tex]\implies \textsf {cos B = 3/5 (as cos is positive in the 4th quadrant)}[/tex]
[tex]\textsf {Finding sin (A - B) :}[/tex]
[tex]\implies \mathsf {sin (A - B) = (\frac{24}{25} \times \frac{3}{5}) - (\frac{7}{25} \times -\frac{4}{5}) }[/tex]
[tex]\implies \mathsf {sin (A - B) = \frac{72}{125} + \frac{28}{125}}[/tex]
[tex]\implies \mathsf {sin (A - B) = \frac{100}{125} = \frac{4}{5} }[/tex]
Find the inverse function in slope-intercept form (mx+b):
f(x) = - 3x + 9
13 points
Answer:
y= 3- x/3
Step-by-step explanation:
To find the inverse function, swap x and y, and solve the resulting equation for x.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: y=9−3x so it becomes x=9−3y.
Now, solve the equation x=9−3y for y. You would just need to leave y alone so you divide by 3 on both sides (NOT negative 3. Just 3.)
Answer:
y=(-x/3)+3
Step-by-step explanation:
y=-3x+9
x=-3y+9
x-9=-3y, next division
(x-9)/-3=y
simply and rearrange
y=(-x/3)+3
can somebody help me?
Answer:
80+5x
please mark me brainliest
Step-by-step explanation:
So if my circumference is 24, what is the radius?
Explain this step by step
THANKS, BRO
Answer:
3.81
circumference of circle is. 2π r
2π r = 24
2 * 22/7 * r = 24
r= 24 *7/2*22
r = 3.81
hope it helps
Answer: 3.8
Step-by-step explanation:
The formula for the circumference of a circle is dπ.
Because you want to find the radius you would have to divide the circumference by π.
24/π=7.639437268 this is the diameter.
To find the radius then you have to half it.
Half of 7.639437268 is 3.8 (1 decimal place).
The game is used in a school to rasie money for charity. Each player pays 30p to play this game. To win a bag of crisps players have to sxore exactly 7. Each bag of crisps cost the school 20p. How much should the school expect to raise for charity if 60 peoples played the game
Answer:
The answer is "1500p".
Step-by-step explanation:
The given probability is = 7. so, https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D
It implies, that only if https://tex.z-dn.net/?f=120 people enjoy the sport, its school will gather https://tex.z-dn.net/?f=%5C%20120%20%5Ctimes%20%5C%2020%5C%20p%20%3D%20%5C%202400%20%5C%20p
But, https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D its side will survive = 30 people, as well as the school would have to invest https://tex.z-dn.net/?f=%5C%2030%20%5Ctimes%20%5C%2030p%20%5C%20%3D%20%5C%20900p
for lollipops So, the school will collect = https://tex.z-dn.net/?f=2400%20-%20900%20%3D%201500p
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SAFE :)
XD
The school can expect to raise approximately £85.71 for charity if 60 people played the game.
If each player pays 30p to play the game, and 60 people played the game, the total amount raised by the school would be:
Total amount raised = Number of players * Cost per player
Total amount raised = 60 * 30p
Now, let's calculate the cost of the crisps won by the players:
Cost of crisps won = Number of crisps won * Cost per crisp
Since each bag of crisps costs 20p, and players have to score exactly 7 to win a bag of crisps, we need to determine the number of bags of crisps won.
To find the number of bags of crisps won, we divide the total number of players by the number of players required to win a bag of crisps:
Number of bags of crisps won = Number of players / Number of players required to win a bag of crisps
Number of bags of crisps won = 60 / 7
Now, we can calculate the cost of the crisps won:
Cost of crisps won = Number of bags of crisps won * Cost per crisp
Cost of crisps won = (60 / 7) * 20p
Finally, to determine the amount the school expects to raise for charity, we subtract the cost of the crisps won from the total amount raised:
Amount raised for charity = Total amount raised - Cost of crisps won
Amount raised for charity = 60 * 30p - (60 / 7) * 20p
To simplify the calculation, we can convert the pence to pounds by dividing by 100:
Amount raised for charity = (60 * 30) - (60 / 7) * 20 = £(1800 - (1714.2857))
Amount raised for charity ≈ £85.71 (rounded to two decimal places)
Therefore, the school can expect to raise approximately £85.71 for charity if 60 people played the game.
To know more about charity click here :
https://brainly.com/question/31888282
#SPJ2
A motor bike was originally listed at
$769.99. The price was first discounted to
$550.54, followed by a final discounted
price of $449.79. What was the single
equivalent rate of discount at the final
price?
Answer:
Answer
2
muddassirmkhan95
Beginner
5 answers
97 people helped
Answer:
Single Equivalent Discount % on final price = 41.58%
Explanation:
The grill was initially priced at $769.99 and was discounted to $550.54 which is 28.5% ((550.54/769.99)-1)*100
and then further discounted by 18.3% ((449.79/550.54)-1)*100 to $449.79.
but if we want to get the single discount rate for $449.79 (final price), we have to compare it with very first original price of $769.99 so the formula will be:
((449.79/769.99)-1)*100 = 41.58% which shows the actual discount % versus the original price of the grill.
Step-by-step explanation:
If 3 apple cost $4 , how much would one apple cost? Round to the nearest cent
Answer:
$1.33
Step-by-step explanation:
If 3 apple cost $4. Then the cost of one apple will be $1.33 per apple.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
If 3 apple cost $4.
Then the cost of the one apple will be given by the quotient of 4 and 3.
Then the price of one apple will be
⇒ $4/3
⇒$1.33 per apple
Thus, the cost of one apple will be $1.33 per apple.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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thrice a number added to 21 equals 300. what is the number?
Step-by-step explanation:
21+3x=300
3x=300-21
3x=279
x=279/3
x=93
The measures of the angles of a triangle are shown in the figure below. Solve
for x.
Answer:
x=11
Step-by-step explanation:
180-109-43=28
4x-16=28
4x=44
x=11
The radius of a circle is 1 mile. what is the circle's area?
Step-by-step explanation:
A≈3.14mi²
I need help, this is homework due in a few minutes
The y-intercept is -6
It opens down.
Elizabeth rolls a die 108 times. How many times can she expect to roll a 2?
Α. 54
Β. 18
C. 24
D. 36
SUBMIT
Answer:
as there are 6 numbers on a die you would expect to 2 roll about 108/6 = 18 times
Answer:B
Step-by-step explanation:
Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be
Answer: 10 cats
Step-by-step explanation:
3/2
15/x
3*5=15
2*5=10
3/2=15/10
Answer:
20
Step-by-step explanation:
20
¿Qué representa 34?
Answer:
El número 34 en numerología simboliza optimismo, espiritualidad, análisis, autoexpresión, introspección, pragmatismo. Si el número 34 es el número de tu destino, lo más probable es que seas una persona muy espiritual, sabia e intuitiva.
Step-by-step explanation:
4) Sherry is doing a class project and wants to see whether people in her community are more likely to consider themselves introverts' or 'extroverts. She gets a few friends together with clipboard surveys and they go to a mall entrance where they ask people to participate in a brief survey. They find that 86% of the respondents consider themselves extroverts. This result is
Answer:
d
Step-by-step explanation:
The Dial and the Lewis families when to Taco Box for dinner. The Dials bought 3
burrito meals and 4 taco meals for $48. The Lewis' bought 6 burrito meals and 2
taco meals for $60. How much does a burrito meal cost? How much does a taco
meal cost?
Answer:
A burrito costs $8, while a taco costs $6.
Step-by-step explanation:
Given that the Dial and the Lewis families when to Taco Box for dinner, and the Dials bought 3 burrito meals and 4 taco meals for $ 48, while the Lewis' bought 6 burrito meals and 2 taco meals for $ 60, to determine how much does a burrito meal cost and how much does a taco meal cost make the following calculations:
3B + 4T = 48
3B = 48 - 4T
6B + 2T = 60
6B = 60 - 2T
3B = 30 - 1T
30 - 1T = 48 - 4T
30 = 48 - 4T + 1T
30 - 48 = -3T
-18 = -3T
-6 = -T
6 = T
3B + 4x6 = 48
3B + 24 = 48
3B = 24
B = 24/8
B = 8
6x8 + 2x6 = 60
48 + 12 = 60
60 = 60
Thus, a burrito costs $ 8, while a taco costs $ 6.
Jim estimated that it would take him 45 minutes
to complete the homework. If ACTUALLY took
him 25 minutes. What was his percent error?
1. Change the following into m².
a. 30,000 cm²
b. 1.5 are