Answer:
[tex]C\approx 5.14[/tex]
Step-by-step explanation:
The circumference is the distance around a complete circle: in essence, the perimeter of a circle. The formula to find the circumference of a circle is the following:
[tex]C=(d)(\pi)[/tex]
Where (d) represents the diameter, the largest cord that can be drawn in a circle, it goes from one end to another, passing through the center of the circle. The parameter ([tex]\pi[/tex]) represents the number (3.1415...). However, one is given a semicircle, thus one must divide the result in two, and then add the value of the diameter to find the perimeter of the given object. Therefore the equation for the circumference of this circle is as follows:
[tex]C=\frac{(d)(\pi)}{2}+(d)[/tex]
Substitute in the given value,
[tex]C=\frac{(2)(3.1415)}{2}+(2)[/tex]
Simplify,
[tex]C=3.1415...+2[/tex]
[tex]C=5.1415[/tex]
[tex]C\approx 5.14[/tex]
In the equation y = 3x – 1, what is the value of y when x equals –3?
A. 10
B. 8
C. –1
D. –10
Answer:
D. –10
Step-by-step explanation:
Given equation:
y = 3x – 1
what is the value of y when x equals –3?
Substitute x = -3 into the equation to find y
y = 3x – 1
= 3(-3) - 1
= -9 - 1
= -10
y = -10
The correct answer is D. –10
Answer:
D).
Step-by-step explanation:
I took the test.
Help out please and thank you
Answer:
x = -8
Step-by-step explanation:
x + 6y = 16
→ Substitute in y = 4
x + 24 = 16
→ Minus 24 from both sides
x = -8
Which number sentence is true?
8 – 4= 11 – 8
13 – 6 = 6-1
6 – 5 = 7 – 6
Done
Answer:
6-5 = 7-6
Step-by-step explanation:
Workers at a truck factory load 4 trucks onto a train for delivery to a customer. Each truck weighs 5,469'pounds. What is the total weight of the 4 trucks?
Answer: $21,876
Step-by-step explanation:
There are 4 trucks being transported. Each of those trucks weigh 5,469 pounds.
The total weight of all four trucks would be:
= weight of one truck * number of trucks
= 5,469 * 4
= $21,876
30 students in a class went on a trip to the other side of the city. There were 4 vans for the
students to take. 6 students walked. How many students could fit in each van?
Answer:
6
Step-by-step explanation:
30-6=24
(6 people walked which means they are not included in the people fitting on the busses)
24/4=6
(from there you need to divide by 4 to tell how many were on each bus.)
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Answer:
x = 10% saline solution = 190 mililiters
y = 60% saline solution = 10 mililiters
Step-by-step explanation:
Theodore needs to mix a 10% saline solution with a 60% saline solution to create 200 milliliters of a 12.5% solution. How many milliliters of each solution must Theodore use
Let
x = 10% saline solution
y = 60% saline solution
x + y = 200
x = 200 - y
10% × x + 60% × y = 200 × 12.5 %
Hence:.0.1x + 0.6y = 25
Substituting 200 - y for x
0.1(200 - y) + 0.6y = 25
20 - 0.1y + 0.6y = 25
- 0.1y + 0.6y = 25 - 20
0.5y = 5
y = 5/0.5
y = 10 milliliters
Solving for x
x = 200 - y
x = 200 - 10
x = 190 mililiters
Reduce the following fraction to simplest terms 24/3 12/3
A: 1/8
B:1/2
C: 4
D: 16
I got 16
Answer:
The simplest form of the fraction 24/3 is:
8/1 and the simplest form of the fraction 12/3 is:
4/1
Step-by-step explanation:
Hope this helps!
How do you find theoretical probability?
(If you don’t mind, please add in some random numbers to help explain ;^; )
Step-by-step explanation:
Theoretical Probability DefinitionTheoretical probability is the theory behind probability. To find the probability of an event using theoretical probability, it is not required to conduct an experiment. Instead of that, we should know about the situation to find the probability of an event occurring. The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.
Find the probability of rolling a 5 on a fair dieSolution:
To find the probability of getting 5 while rolling a die, an experiment is not needed. We know that there are 6 possible outcomes when rolling a die. They are 1, 2, 3, 4, 5, 6.Therefore, the probability is,Probability of Event P(E) = No. of. Favourable outcomes/ No. of. Possible outcomes.P(E) = 1/6.Hence, the probability of getting 5 while rolling a fair die is 1/6.
I hope it helps
Write an equation of the line that contains
point (3,-1) and is parallel to the equation
y+3x=2.
Do not scam or u get a report i need help so please
Answer:
0.35 each
Step-by-step explanation:
verify that cscθ cosθ tanθ =1
Answer:
TO VERIFY :-
[tex]\csc \theta \times \cos \theta \times \tan \theta = 1[/tex]GENERAL TRIGONOMETRIC FORMULAES :-
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex].[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex]SOLUTION :-
L.H.S. =
[tex]\csc \theta \times \cos \theta \times \sin \theta[/tex]
[tex]=> \frac{1}{\sin \theta} \times \cos \theta \times \frac{\sin \theta}{\cos \theta}[/tex]
[tex]=> \frac{\sin \theta \times \cos \theta}{\sin \theta \times \cos \theta}[/tex]
[tex]=> 1[/tex]
R.H.S. = 1
∴ L.H.S. = R.H.S. (Proved)
Find the domain of the relation.
{(6,3),(8,3),(4,-4),(4,0),(-2,-9)
Answer:
The domain is -2,4,6,8
Step-by-step explanation:
The domain is the input values
6,8,4,4,-2
We only need to write the repeat values once
The domain is -2,4,6,8
PLEASE HELP
Cal uses the equation y = 2.92
+ 2.4 to model his data. Use this equation to make the
following predictions.
Enter a number in each space provided
After 25 weeks, Cal will have saved a total of $____
The least number of whole weeks Cal must save to have a total of $100 saved is ____
Ace pool company sells portable spas as shown. The inside diameter of the spa is 2.5 m and the depth is 1.5 m. The sides and the bottom are each 10 cm thick.
a) Calculate the total amount of vinyl required for the spa (on both the interior and exterior)"
Step-by-step explanation:
the area of :
1) inside surface = (3.14× 1.25²)+(3.14×2.5×1.5)
= 4.90625 + 11.775 = 16.68125 m²
2) upper side surface= (3.14 × (1.35²-1.25²))
= 3.14× (1.8225-1.5625)= 3.14×0.26=0.8164m²
3) lateral surface= 3.14×2.7×1.6=13.5648m²
the total amount of vinyl required for the spa =
16.68125+0.8164+13.5648 = 31.06245 m²
Find the slope of a line that goes through (4, 5) and (3,8).
m =
Answer:
use formula y2-y1/x2-x1
Step-by-step explanation:
=8-5/3-4
=3/-1
=-3
Answer:
-3/1
Step-by-step explanation:
(3,8) 4,5)
5-8 divided into 4-3
-3/1
Mark the point (3,8) on the coordinate plan on graph paper. Then go 3 down,1 right, and you'll reach (4,5) (from left to right, from 3,8 to 4,5)
3 down means negative 3
1 right means positive 1
Help me please, I have beeen trying to figure this out but I can’t
Answer:
M and N
Step-by-step explanation:
A square has a triangular hole in it. What is the area of the figure?
85 in 2
100 in 2
92.5 in 2
70 in 2
Answer:
B. 10 x 10 = 100. 5 x 3 / 2 = 7.5. 100 - 7.5 = 92.5
Step-by-step explanation:
On a map, 1 inch equals miles. Two houses are inches apart on the map. What is the actual distance between the houses? Use pencil and paper. Show how you can represent the scale with two different ratios.
Answer:
The actual distance between the houses is 18.9 miles.
Step-by-step explanation:
The exact question is as follows :
Given - On a map, 1 inch equals 5.4 miles. Two houses are 3.5 inches apart on the map.
To find - What is the actual distance between the houses?
Solution -
Given that,
1 inch = 5.4 miles
⇒3.5 inches = 3.5 × 5.4 miles
= 18.9 miles
∴ we get
The actual distance between the houses is 18.9 miles.
The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry
Answer:
16 ft.
Step-by-step explanation:
Distance Formula:
A = (2,2)
B = (12,14)
So, sqrt(12^2 + 10^2) = 16 ft.
This is the same for B to C.
So, 16 ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B
Answer:
Step-by-step explanation:
Hope this helps u!!
hey! i’ll give brainliest please help
please provide a solution its urgent
Given that n(A) = 12, n(B) = 7
and n(AUB) = 10
Find n(AnB)
Pls show working
Answer:
n(A) + n(B) - n(AnB) = n(AUB)
12 + 7 - n(AnB) = 10
19 - n(AnB) = 10
19 - 10 = n(AnB)
n(AnB) = 9
Step-by-step explanation:
Step-by-step explanation:
n(A)=12
n(B)=7
n(AUB)=10
n(AnB)=?
let,n(AnB) be x
We know that,
or, n(AUB) = n(A)+n(B)-n(AUB)
or, 10 =12+7+x
or, 10 =19+x
or, 10-19=x
or,9=x
so, the value of x is 9
then (AnB)=9
Use pythagorean theorem to find perimeter
Answer:
36
Step-by-step explanation:
Counting the squares: base = 12, height = 9.
We will use pythagorean theorem to find the third side.
Let it be x.
So,
[tex]x^2 = 12^2 + 9^2\\x^2 = 144 + 8 1 = 225\\x = 15[/tex]
Perimeter of triangle = sum lengths of all sides
= 12 + 9 + 15
= 36 units
Can someone help me please
it's sideways take a better pic
Which type of function is shown in the table below?
х
f(x)
1
-4
2
-6
3
-8
ܠܛ
-10
5
-12
Not a function
O Linear
Submit Answer
Exponential
Quadratic
The table represents a linear equation, y = - 2x - 2.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
From, The given table the list of ordered pairs are,
(1, - 4), (2, -6), (3, - 8), (4, - 10), and (5, - 12).
By observing the ordered pairs and patterns we can form an equation,
y = - 2x - 2.
If we put the values of 'x' the equation will satisfy the values of 'y'.
learn more about graphs here :
https://brainly.com/question/2288321
#SPJ7
Line AB is perpendicular to line CB.
A(2,3), B(5,7) C(x,8)
What is the value of x to make this statement true?
Answer:
Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
Answer:
a 2 and 3 step by step exolaniation
What’s the volume? Pls help
Answer:
73 x 51 x 1/2(basically just dividing by 2) = 1861.5
1861.5 x 86(width) = 160,089 86 yd^3 is your answer.
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
B(base) x H(height) x 1/2
Handy is making floor plan for a treehouse using a scale of 1 inch to 2 foot he wants to make the floor of the treehouse have a length of 8 foot how many inches should he show
Answer: [tex]4\ in.[/tex]
Step-by-step explanation:
Given
Handy uses a scale of 1 inch to 2 foot i.e. 1 inch of drawing represents 2 foot
For 8 foot length of tree house he draw x inch(say)
[tex]\therefore \ \dfrac{1\ \text{inch}}{2\ \text{foot}}=\dfrac{x}{8}\\\\\Rightarrow x=8\times \dfrac{1}{2}\\\Rightarrow x=4\ in.[/tex]
So, handy draw 4 inches.
Kelly is making a rectangular garden that has a width of (2x + 3) and length of (2x - 4)
How much fertilizer would she need to lay down before she starts to
plant her flowers (area)?