Answer:
a) 1 2/9 or 11/9
b) 37.6
c) 37
Step-by-step explanation:
1 pt:
Find the length of the intercepted arc and sector in a circle with a radius of 6 cm and a central angle of
132 degrees.
Answer:
Arc length = 13.818
Step-by-step explanation:
First, you will need to convert the 132 degrees to radians.
To convert, you'll have to multiply by π/180. So 132 x π/180 = 2.303.
Now with that value, you'll have to multiply by the radius to obtain the arc length.
2.303 x 6 = 13.818
Central angle = 132
Radius = 6
Diameter = 6 x 2 = 12
Arc length = 13.818
Please round this number to the second decimal:
113.097335529233
Answer:
113.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The 7 in the hundreths place would bring the 9 up. So your answer would then be 113.10
Carpenters earn an average of $1120 less
per month than designers at a furniture
factory in Smithville. The factory employs
3 designers and 15 carpenters. Let x
represent the average monthly pay of a
designer
Which of the following functions correctly
shows the relationship between the
monthly payroll (P) and the wages of these
employees?
(1) P= 3x + 15(x - 1120)
(2) P= 3(x - 1120) + 15x
(3) P = 3(x - 1120) + 15(x -
1120)
(4) P= 3 + x + 15 + (x - 1120)
(5) P = 3(x)(15)(x - 1120)
How many divisors of 7! = 7:6:5.4.3.2.1 are divisible by 7 ? (Example: 14 has
two divisors, 7 and 14, that are divisible by 7.)
Answer:
30
Step-by-step explanation:
7! = 7*(2*3)*5*(2*2)*3*2*1 = [tex]7*5*3^{2}*2^{3}[/tex]
Ignoring the 7, there are 24 factors of this number as you will multily each of the factors of 6! by 7 to get each of the factors of 7! divisble by 7. But since you ignored the 7, you need to bring back the possible values of 7*6, 7*5, 7*4, 7*3, 7*2, 7*1.
24 + 6 = 30 divisors
There are 60 divisors of 7!.
What is factorial?The factorial function can be used to determine the ordered set of numbers or how many different ways things can be arranged. Daniel Bernoulli discovered the factorial function's well-known interpolating function. Numerous mathematical concepts, including probability, permutations and combinations, sequences and series, and so on, make use of the factorial idea.
Given 7!
We must first write 7! as the product of prime numbers, as shown below. The highest power of a prime number is typically divided by N! is given by [tex]s_{p}[/tex](N!)=N/p + N/p² + N/p³ +.......
Since you want to count the number of terms that are multiples of p and contribute one p to N!, the first term appears. However, when you have multiples of p², you are not simply multiplying one p; rather, you are multiplying two primes p to the product. Therefore, you now count and add the number of multiples of p² that are less than N.
let for p =2
[tex]s_{p}[/tex](7!) = 7/2 + 7/4 + 7/8 + ......... = 3 +1 = 4
we have to repeat this process for 3,5,7
we get 7!=2⁴ x 3² x5¹ x7¹
Now, the number of divisors of 7 is equivalent to number of ways of selecting zero or more objects from the group of identical objects
=(4 +1)(2 + 1)(1 + 1)(1 + 1) = 60 includes 1 and 7.
Hence the divisors of 7! is 60.
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Find the equation of the line that passes through points A and B.
y.
AA (1,7)
-X
B (-3,-1)
Answer:
y=2x+5
Step-by-step explanation:
start with by stating your formula: y=MX +C
m= Y2-Y1÷X2-X1
m=-1-7÷-3-1
m=-8÷-4
m=2
substitutionUsing A's coordinates
7=2(1)+c
7=2+c
7-2=c
5=c
therefore y=2x+5
Under his cell phone plan, Bentley pays a flat cost of $64.50 per month and $4 per gigabyte. He wants to keep his bill at $78.90 per month. How many gigabytes of data can he use while staying within his budget?
Answer:
3.6 gB
Step-by-step explanation:
You can think of this question in terms of the y = mx+b equation.
$78.90 is y because it is the total amount per month, $4 is m because it is the cost per gB, and $64.50 is b because it is the flat rate.
78.9 = 4x + 64.5
4x = 14.4
x = 3.6 gB of data (or 3 if it wants a whole number)
ratio in its simplest form 114 : 95
Answer:
Step-by-step explanation:
114:95 = 6:5
6:5
Step-by-step explanation:
Can somebody help will give brainliest thank you
Step-by-step explanation:
1. the equation of a line is y = mx + c
m is the gradient and you can work this out by the change in y ÷ by the change in x
c is the y-intercept, which is where the line intercepts the y line.
2i.
(4 - 1) ÷ (2 - 1) = 3
What is the factors for x squared plus 5x - 6
Answer:
(x+6)(x-1)
Step-by-step explanation:
x^2+6x-x-6
x(x+6)-(x+6)
(x+6)(x-1)
Please help me answer this
whats the question? what does it want. ill edit this when you give me the question.
Step-by-step explanation:
What is the product?
Answer:
-3
4
Step-by-step explanation:
You need to take something called the dot product
The store is selling lemons at $0.46 each. Each lemon yields about 2 tablespoons ofjuice. How much
will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of
lemon juice?
Answer:
12 lemons, $5.52
Step-by-step explanation:
Bryant had $450 in the bank yesterday. Then, Bryant bought a fancy new rug for $620, but didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt! What is the absolute value of his new account balance?
Please help!!!!me!!!!!!
Answer:
y= 163 because of vertical angle
Answer:
y° = 163°
Step-by-step explanation:
In this question we have to find the value of y.
We can solve this using the property of vertically opposite angles, I.e, vertically opposite angles are equal to each other. In this case the vertically opp. angle of y is 163°. So that makes y° = 163°
Help plz:)))I’ll mark u Brainliest
Answer:
14.4 ft
Step-by-step explanation:
The triangles formed by both ladders are similar to each other. Therefore, each corresponding sides will be proportional.
Thus, x + 8 would represent how far up the 10-foot ladder reaches the wall.
Therefore:
18/10 = (x + 8)/8
9/5 = (x + 8)/8
Cross multiply
9*8 = 5(x + 8)
72 = 5x + 40
72 - 40 = 5x
32 = 5x
Divide both sides by 5
32/5 = x
x = 6.4
The 10-foot ladder would be, 6.4 + 8 = 14.4 ft far up the wall.
2). Stuart took his wife out to dinner. The bill came to $72.00 and he
wants to leave a 15% tip. How much should Stuart leave the server for the
tip? *
Hellllpppppop!?!?!!?????
Answer:
10.8
Step-by-step explanation:
Answer:
$10.8
Step-by-step explanation:
First, you would multiply 72 x 15 to get 1,080. Then, you would divide 1,080 by 100 to get 10.8. I hope this helps :)
Simplify the expression by combining like terms
16h + 10 + 4h
Answer:
20h + 10
Step-by-step explanation:
16h + 10 + 4h
The like terms in this expression are 16h and 4h
20h + 10
Hope this helps! May I please have brainliest? :)
Point M is the midpoint of AB. Find AM.
2x + 34
6x + 26
+
A
M M
B
Answer: AM = 76 and AB = 152
Step-by-step explanation:A little annoying but basically AM times 2 shoud equal AB or (2x+34)*2 = 6x+26 solve to get x equals 21 plug back in to get 76 for AM and 152 for AB
Maths in science
A student sampled a local playing field to estimate the total number of dandelion plants growing there
Answer:
Step-by-step explanation:
answer is that i dont know
What is the area of the triangle given below?
O A. 6 sq. units
B. 12 sq. units
o C. 16 sq. units
O D. 8 sq. units
Answer:
I think its b sorry if it's wrong tho
The area of the triangle given in the figure is 6 square units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the area of triangle.
Area of triangle is 1/2 × Base × Height
The length of base is 6 units.
The length of height is 2 units.
Now let us plug in the value of base and height into the given formula of triangle.
Area of triangle =1/2×2×6
=6 square units
Hence, the area of the triangle given in the figure is 6 square units.
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What is the distance in between coordinate points -10 and 15 and 15 and 15
Answer:
25x
Step-by-step explanation:
Answer:
use pythagoras
Step-by-step explanation:
5 (a) Write the ratio 15:35 in its simplest form.
Answer:
Step-by-step explanation:
5 is a factor of 15 and 35
15:35 = 3:7
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
Answer:
Step-by-step explanation:
The £150 must be split 5 ways with Ivan getting 4 of those splits.
£150/5
----------------
£30
Ivan gets £30 times 4 (remember, Ivan gets a four split).
Tanya gets £30.
Ivan gets £120.
Tanya gets £30.
£120
- £30
----------------
£90
Ivan gets £90 more than Tanya.
Hope this helped!
3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.
5. A store sells milk in three different sizes. The 128 fl oz size costs $4.59. The 64 fl. oz container
costs $329. And, the 32 oz container cost $1.99. Which size has the lowest price per fluid
ounce?
sam's mother is twice as old as sam. in 12 years sam will be as old as his mother was 12 years ago, how old is sam and his mother now PLZ HELP NOW
Answer:
Sam will be 24 and his mom U can figure that out
Step-by-step explanation:
Math
Answer:
24
Step-by-step explanation:
`12
Rectangle ABCD has m∠BAC=4x+5and m∠ACD=5x−4. Find m∠CAD m∠CAD =
Answer:
m∠CAD = 49degrees
Step-by-step explanation:
For a rectangle ABCD if m∠BAC=4x+5and m∠ACD=5x−4, then;
m∠BAC = m∠ACD (alternate angles)
4x+5 = 5x - 4
4x-5x = -4-5
-x = -9
x = 9
Also
m∠BAC+m∠CAD = 90
4x+5+m∠CAD = 90
4(9)+5+m∠CAD = 90
36+5+m∠CAD = 90
41+m∠CAD = 90
m∠CAD = 90-41
m∠CAD = 49degrees
Whoever answers this for me gets brainliest
60 i have nothing more to add
What is the answer for 4(r-2+y) ?
Answer: 4R+4y-8
Step-by-step explanation:
Answer:
i hope my answer help u:))
Step-by-step explanation:
4r-8+4y it is easy :))
A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup. The percent markup is 1%. (Round to the nearest whole number as needed)
Answer:
40%
Step-by-step explanation:
A department store buys 300 shirts at a cost of $3,600 and sells them at a selling price of $20 each. Find the percent markup.
The formula for Percent Markup is given as:
Selling price - Cost price/Cost price × 100
Cost price = $3,600
Selling price = $20 × 300 shirts
= $6000
Percent Markup = $6000 - $3600/6000 × 100
= 2400/6000 × 100
= 40%
The percent Markup is 40%