Answer:
The measure of angle θ is 7π/4. The measure of its reference angle is 45°, and tan θ is -1.
Answered by GAUTHMATH
"Find the area and the circumference of a circle with diameter of 8m"
Radius = diameter/2 = 8/2 = 4m
Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2
Circumference = pi x diameter = 8pi m ( exact) or 25.12 m
Answer:
C = 25.12 A = 50.24
Step-by-step explanation:
Circumference formula = dπ
Area formula = πr^2
Circumference:
Plug in:
8π
8 × 3.14 = 25.12
Area:
8/2 = 4
r = 4
Plug in:
πr^2
π4^2
16π
16 × 3.14 = 50.24
Hope this helped.
please help asap, see attached photo!!
14) A contractor estimated that her expenses for a construction project would be between $700,000 and
$750,000 She has already spent $496.000 How much more can she spend and remain within her
estimate?
Write as an inequality!
Answer:
204000 < x < 254000
Step-by-step explanation:
700000 < 496000 + x < 750000
Solve for x by subtracting 496000 from both sides
204000 < x < 254000 ----> so we can conclude that she can spend between $204,000 and $254,000 more and remain within her estimate.
Mike and Ken shared some stamps. \frac{1}{5} 5 1 of Ken's stamps were \frac{1}{3} 3 1 of Mike's stamps. If Mike gave Ken 24 stamps, Ken would have thrice as many stamps as Mike. Find the number of stamps each of them had in the beginning.
Answer:
Mike had 72 stamps
Ken had 120 stamps
Step-by-step explanation:
Given
[tex]M \to Mike[/tex]
[tex]K \to Ken[/tex]
[tex]\frac{1}{5} * K = \frac{1}{3} * M[/tex]
[tex]K + 24 = 3 * ( M - 24)[/tex]
Required
Find K and M
Make K the subject in: [tex]K + 24 = 3 * ( M - 24)[/tex]
[tex]K = 3 * ( M - 24) - 24[/tex]
Substitute [tex]K = 3 * ( M - 24) - 24[/tex] in [tex]\frac{1}{5} * K = \frac{1}{3} * M[/tex]
[tex]\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M[/tex]
Open brackets
[tex]\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M[/tex]
[tex]\frac{1}{5} * [3M -96] = \frac{1}{3} * M[/tex]
Multiply both sides by 15
[tex]3* [3M -96] = 5 * M[/tex]
[tex]9M -288 = 5M[/tex]
Collect like terms
[tex]9M -5M= 288[/tex]
[tex]4M= 288[/tex]
Divide both sides by 4
[tex]M= 72[/tex]
Substitute [tex]M= 72[/tex] in [tex]K = 3 * ( M - 24) - 24[/tex]
[tex]K = 3 * (72 - 24) - 24[/tex]
[tex]K = 3 * 48 - 24[/tex]
[tex]K = 120[/tex]
To earn $60 for the skateboard, Waheeda decides to run a lemonade stand. If she sells each glass of lemonade for $1.50, how many glasses of lemonade will she need to sell? Write and solve an equation to find the answer.
Cost of skateboard : $60
Cost of each lemonade = $1.50
Total glasses of lemonade to be sold = 60/1.5
= 60/15×10
= 4×10
= 40
Therefore she has to sell 40 glasses of lemonade
Must click thanks and mark brainliest
Hey I’m having trouble finding out how to divide fractions
The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.
Find the missing length indicated
Answer:
x = 240
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
(leg of large triangle)² = ( part of hypotenuse below it) × (whole hypotenuse)
x² = 144 × 400 = 57600 ( take the square root of both sides )
x = [tex]\sqrt{57600}[/tex] = 240
x = 240
Using Pythagoras' theorem on the 3 triangles of sides (as shown in the graphic - the 2 smaller inner triangles and the large main triangle) it can be shown that the height is the square root of the product of both segments of the baseline.
let's call the 2 segments p and q.
p+q = 400
p = 144
q = 400 - 144 = 256
so, as said before, height = sqrt(p×q) = sqrt(144×256) = 192
now the main Pythagoras with the smallest triangle to get x
x² = 192² + 144² = 36864 + 20736 = 57600
x = 240
now, FYI, why is that formula true ?
as we said, we called the segments of the long baseline p and q.
then we can the sides of the main triangle x and y.
and the height is simply h.
so, then we have for the main rectangular triangle
(p+q)² = x² + y²
and for the 2 smaller triangles
x² = p² + h²
y² = q² + h²
=>
p² +2pq + q² = p² + h² + q² + h²
2pq = 2h²
h² = pq
h = sqrt(pq)
and there you have it. just as simple as that.
Verify that –(-x) is the same as x , for x = −4/5
Answer:
Step-by-step explanation:
-(--4,5)= -(4,5)= -4,5
True or False: A rational number can be expressed as the quotient a/b where b ≠ 0.
Answer:
true?
Step-by-step explanation:
A rational number can be expressed as the quetient a\b where b=0 is true
brianna practices the panio 30 minutes each day write an expression for the number of hours she practises in d days
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (1) as the fraction bar if necessary.
Answer:
hi ,
as you can observe the below
BRAINLIST!! 20 POINTS! PLEASE HELP ILL FAIL IF I DONT PASS THIS TEST!!!
What type of counting problem is this?
How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?
Combination without repetition
Permutation with repetition
Combination with repetition
Permutation without repetition
Answer:
the third one: Combination with repetition
Step-by-step explanation:
it says there are any number of pennies, nickels, dimes, and quarters, so there is repetition. the order doesn't matter because it asks for the different sums, so it's a combination with repetition
"How many different sums of money exist if we can choose 4 coins from any number of pennies, nickels, dimes, and quarters?" is a Combination with repetition problem.
What is combination with repetition?A combination with repetition involves a multiset. A multiset allows elements to be repeated unlike an ordinary set.
Number of ways to select r things from n possibilities: C (n + r − 1, r)
Since he can choose any coin any number of time, repetition is there. Also, order in which coins are chosen is not important, thus it is a combination.
Therefore, the third option is correct. This is a combination with repetition problem.
Learn more about combination with repetition here
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1 point 56. While riding a bicycle, a person travelled 5 blocks in 2 minutes. At this rate, how many blocks will the person travels in 16 minutes? Q
the person will travel 40 blocks in 16 minutes
10. An employee was conducting a service at the local supermarket. In his survey, he found that
63% of the shoppers intended to purchase produce on their trip. 80% of those shoppers
intended to purchase both fruits and vegetables. What percentage of total shoppers surveyed
intend to purchase only fruits or vegetables (not both)?
To solve this question, we analyze the percentages, and doing this, we get that the percentage of total shoppers surveyed intend to purchase only fruits or vegetables (not both) is 12.6%.
Percentages:
63% of the shoppers will make a purchase.
Of those, 80% purchase both fruits and vegetables.
Thus, 100 - 80 = 20% purchase only one.
Percentage of shoppers who purchase only one:
20% of 63%, so:
[tex]p = 0.2*0.63 = 0.126[/tex]
0.126*100% = 12.6%.
Thus, the percentage of total shoppers surveyed intend to purchase only fruits or vegetables (not both) is 12.6%.
A similar example is given at https://brainly.com/question/24161830
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A backpacking company requires each camper to bring a lantern to go on a trip. The company supplies 4 extra in case any lanterns get lost or broken. Write an equation if c represent the number of campers and l represent the total number of lanterns.
A. cl=4
B. c=l+4
C. l=c−4
D. l=c+4
Answer:the answer is D
Step-by-step explanation:
Please solve this radical equation. Show all your steps and explain thoroughly what you did. Thank you for your time and help.
Answer:
4,3
Step-by-step explanation:
Rearrange the equation :
[tex] \sqrt{x - 3} = x - 3[/tex]
Then, we must square both sides:
x-3 = x²-6x+9
x²-6x+9-x+3=0
x²-7x+12=0
(x-4)(x-3) =0
So x =4,3
Answer:
x = 3, x = 4
Step-by-step explanation:
Given
[tex]\sqrt{x-3}[/tex] + 3 = x ( subtract 3 from both sides )
[tex]\sqrt{x-3}[/tex] = x - 3 ( square both sides )
x - 3 = (x - 3)²
x - 3 = x² - 6x + 9 ( subtract x - 3 from both sides )
0 = x² - 7x + 12 ← in standard form
0 = (x - 3)(x - 4) ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
As a check
Substitute these values into the equation and if both sides are equal then they are solutions
x = 3 : [tex]\sqrt{3-3}[/tex] + 3 = [tex]\sqrt{0}[/tex] + 3 = 3 = 3 = right side
x = 4 : [tex]\sqrt{4-3}[/tex] + 3 = [tex]\sqrt{1}[/tex] + 3 = 1 + 3 = 4 = right side
solutions are x = 3, x = 4
What is the distance between (-3, -4) and (2,2)
Answer:
I did for you but I don't know you will understand my HANDWRITING or not .
:(
WILL GIVE BRAINLIEST
How many integers n between 1 and 100 inclusive are there, such that n^2 + n is divisible by 99
Answer:
It is 121
Step-by-step explanation:
Find X
Round to the nearest tenth
Answer:
x=437.3 ft
Step-by-step explanation:
cos(29)=B/H, cos(29)=x/500. x=437.3 ft
What is 21+x=70 what is X?
this is me
Answer:
Simplifying
Simplifying
21 + x = 70
Solving
21 + x = 70
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-21' to each side of the equation.
21 + -21 + x = 70 + -21
Combine like terms: 21 + -21 = 0
0 + x = 70 + -21
x = 70 + -21
Combine like terms: 70 + -21 = 49
x = 49
Simplifying
x = 49
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{21 + x = 70}[/tex]
[tex]\large\textsf{x + 21 = 70}[/tex]
[tex]\large\text{SUBTRACT 21 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 21 - 21 = 70 - 21}[/tex]
[tex]\large\text{CANCEL out: 21 - 21 because that gives you 0}[/tex]
[tex]\large\text{KEEP: 70 - 21 because that helps solve for the x-value}[/tex]
[tex]\large\textsf{x = 70 - 21}[/tex]
[tex]\large\textsf{\bf x = 49}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 49}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
pls help its a optional math question
Find the length of a pendulum which describes an arc of 33cm when it turns through and angle 27º.
Answer:
70cm
Step-by-step explanation:
33=27/360*2*22/7*r
33*2520/1188=r
83160/1188=r
r=70cm
hope it's right
WILL MARK BRAINLIEST !!!
the polygons are similar. Find the scale factor of the smaller figure to the larger figure
Answer:
2:5
Step-by-step explanation:
What is the least common multiple of 4 and 12? O 4 O 12 O 24 o ) 48
Answer:
12
Step-by-step explanation:
Least common multiple means what is the smallest number that both numbers go into
List the prime factors
4= 2*2
12 = 2*2*3
The factors that are in needed to make both are 2 and 3
We need 2 of the 2's and 1 3
2*2*3 = 12
Answer:
12
Step-by-step explanation:
BRAINLEST ID CORRECT!!!!!!
Answer:
x=11
Step-by-step explanation:
The two angles add to a right angle which is 90 degrees
35+5x = 90
Subtract 35 from each side
35+5x-35 = 90-35
5x= 55
Divide by 5
5x/5 = 55/5
x = 11
a number y cubed plus x squared decreased by 7
Step-by-step explanation:
It is read thus Y^3+X^2-7
The equation form from the given statement would be Y^3 + X^2 - 7.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically.
For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
We have been given a statement as;
"A number y cubed plus x squared decreased by 7".
So, the equation form would be
Y^3 + X^2 - 7
Learn more about expression here;
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The complete question is
"A number y cubed plus x squared decreased by 7". write the expression.
Help ! With step by step solution
Answer:
the correct answer is C
Step-by-step explanation:
first step you change the x and y powers to the square root(showing in the pic).
second the number outside of the parenthesis times the numbers inside the parenthesis and then you just figure it out how it works...
what is the equation of the line that passes through (1,5) and (3,1)
Answer:
Below
Step-by-step explanation:
First let's find m
m = Δy / Δx = y2 - y1 / x2 - x1
= 1 - 5 / 3 - 1
= -2
Now to find b, you can sub in the values of (x,y) for (1,5)
5 = (-2)(1) + b
-b = -2 - 5
-b = - 7
b = 7
Final equation
y = -2x + 7
Hope this helped!
Answer:
4x + 2y - 14
Step-by-step explanation:
I hope it is understandable.
Find the value of x. Round to the nearest tenth
Answer: x= 42.3
Step-by-step explanation:
Sqrt a^2 + b^2 - (2ab)(cos 100)
Sqrt 25^2 + 30^2 - (2)(25)(30)(cos 100)
42.3
using Euclids division algorithm, find the largest number that divides 475 and 871 leaving 7 as the remainder in each case
Answer:36
Step-by-step explanation:
gcd(475-7,871-7)=gcd(468,864)=36
[tex]\begin{array}{c|c|c|c|c|c}&0&1&1&5&2\\468&864&468&396&72&\boxed{36}\\468&396&72&36&0\\\end{array}[/tex]
Solve for q. –17 − 12q = –17 + 10q
Step-by-step explanation:
–17–12q=–17+10q
–17+17=10q+12q
0/22=22q/22
q=0