Answer:
3.40 cmStep-by-step explanation:
It is given that the area of a circle is 36.43cm² and we have to find the length of the radius.
So, first of we must know this formula :
⇒ πr² = Area(Circle)
We will take the value of π as 3.14Now, Substituting the given values in the formula :
⇒ 3.14 × r² = 36.43
⇒ r² = 36.43/3.14
⇒ r² = 11.60
⇒ r = √11.60
⇒ r = 3.40
Therefore,
The radius of the circle is 3.40 cmHey ! there
Answer:
Radius of circle = 3.40 cmStep-by-step explanation:
In this question we are given with area of circle that is 36.43 cm² . And we are asked to find the length of radius of circle rounded to two decimal points .
We know that ,
[tex] \qquad \quad \frak{Area_{(Circle)} = \pi r {}^{2} } \quad \bigstar[/tex]
Where ,
π = 3.14r = radius of circleSolution : -
According to question , area of Circle is equal to 36.43 . So ,
[tex] \longrightarrow \qquad \: \pi r {}^{2} = 36.43[/tex]
Step 1 : Substituting value of π :
[tex] \longrightarrow \qquad \:3.14 \times r {}^{2} = 36.43[/tex]
Step 2 : Transposing 3.14 to right side :
[tex] \longrightarrow \qquad \: r {}^{2} = \cancel{\dfrac{36.43}{3.14} }[/tex]
On dividing 36.43 by 3.14 , We get :
[tex] \longrightarrow \qquad \: r {}^{2} = 11.60[/tex]
Step 3 : For removing square from r , We are applying root on both sides :
[tex] \longrightarrow \qquad \: \sqrt{r {}^{ 2 }} = \sqrt{ 11.60}[/tex]
We get :
[tex] \longrightarrow \qquad \:r = \sqrt{11.60} [/tex]
Step 4 : Finding square root of 11.60 , We get :
[tex] \longrightarrow \qquad \: \purple{\underline{\boxed{\frak{r = 3.40 \: cm}}}} [/tex]
Therefore, radius of circle is 3.40 cm#Keep LearningAn elevation of-89ft.is 89 feet_______
See level.
Answer:
- sign indicates the fact that it's Below sea level
What is the slope of the line shown?
Answer:
slope = 1/2
Step-by-step explanation:
Pick two convenient integer coordinates
I'll use (0,-1) and (2,0)
slope = (y1-y2)/(x1-x2) = (-1-0) / ( 0-2) = 1/2
PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
10
15
100
150
Answer:
10
Step-by-step explanation:
My guy just plug in the number for x it's not that hard
Write the missing number to make these equivalent fractions correct
?/20=2/5
Answer:
8
Step-by-step explanation:
From 5 to get to 20 it would be (X4), so we would do the same for the 2, and 2 times 4 would be 8. The answer is 8.
Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and
Frank's age.
HELP
Answer: Alex 28
Frank 22
Step-by-step explanation: Age difference is 6. Addition is 50
The store pays 120 for a bike the store is going out of business and is selling all of the bikes at a 30% discount what is the sil price of the bicycle
a student is running a 3k race he runs 1 km race every 2 minutes select the function that describes his distance from the finish line
Answer:
-1/2 x + 3
Step-by-step explanation:
need help with this asap
Answer:
they are three I will explain
Step-by-step explanation:
x+4/3÷6/x
this 3 expressions are equivalent to the equation above
1. x+4/3{x/6}
2. {x/6}x+4/3
3. x^2 + 4x /18
Make it quick please!
What are the coordinates of the hole in the graph of the function f(x)?
f(x)=x2−9/x−3
Factor out the numerator first
y=x²-9/x-3y=x²-3²/x-3y=(x+3)(x-3)/(x-3)y=x+3The hole is at x-3=0 i.e x=3
And
y=3+3=6The hole is at (3,6)
Which of the following is a geometric series? 6 13 20 27 7 21 35 45 14 21 28 35 2 14 98 686
The geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
What is geometric series?In mathematics, a geometric series is the sum of an infinite number of terms that have a constant or common ratio between successive terms
A. 6 + 13 + 20 + 27 .
the difference between two terms are 13-6 = 7 , 20-13= 7
The terms are increasing by 7. So it is not geometric
B. 7 + 21 + 35 + 45
the difference between two terms are 21-6 = 14 , 35-21= 14
The terms are increasing by 14. So it is not geometric
C. 14 + 21 + 28 + 35
the difference between two terms are 21-14 = 7 , 28-21= 7
The terms are increasing by 7. So it is not geometric
D. 2 + 14 + 98 + 686
Here the difference is not same, so we find the ratio
14/2= 7
98/14= 7
686/98= 7
So common ratio is 7
When the common ratio is same then it is Geometric series
Hence the geometric series will be D. 2 + 14 + 98 + 686 because it is having a common ratio 7.
To know more about geometric progression follow
https://brainly.com/question/24643676
Answer:
D
Step-by-step explanation:
multiplied by 7 each time
A right triangle has one angle that measures 48°. What is the measure of the other acute angle?
Answer:
minus 48 to 90 then divide the answer by 2
Answer:
42°
Step-by-step explanation:
The 2 acute angles in a right triangle add up to 90°
90° - 48° = 42°
Hope this helps
A tank is being filled with water at a rate of 5.5 gallons per
minute. Write the first five terms of the arithmetic sequence
being represented after each minute if the tank started with
10 gallons of water.
Arithmetic sqaure: a + (n-1) * d
where "a" is the first term, "d" is the common difference
Here given:
a = 10 gallons
d = 5.5 gallons
nth term: 10 + (n-1) * 5.5Solve for first 5 terms:
10 + (1-1) * 5.5 = 10
10 + (2-1) * 5.5 = 15.5
10 + (3-1) * 5.5 = 21
10 + (4-1) * 5.5 = 26.5
10 + (5-1) * 5.5 = 32
first five terms: 10, 15.5, 21, 26.5, 32
General formula
a_n=a+(n-1)da_n=10+(n-1)5.5So
a_1=10a_2=10+5.5=15.5a_3=10+11=21a_4=10+16.5=26.5a_5=10+22=32a_6=10+27.5=37.5If
5sin 2x +4 = 10 sin ²x, show
that tanx = 2 or tan x =-1/3
[tex]~~~~~5\sin 2x +4 =10 \sin^2 x\\\\\implies 5\cdot 2\sin x \cos x+4 =10 \sin^2 x\\\\\implies 10 \sin x \cos x +4 = 10\sin^2 x\\\\\implies 10\tan x + 4\sec^2 x = 10\tan^2 x~~~~~;[\text{Divide both sides by}~ \cos^2 x]\\\\\implies 10\tan^2 x -10 \tan x -4(1+ \tan^2 x)=0\\\\\implies 10\tan^2 x -10 \tan x -4 -4\tan^2 x =0\\\\\implies 6 \tan^2 x -10 \tan x -4 =0\\\\\implies 3 \tan^2 x -5 \tan x -2 =0~~~~~;[\text{Divide both sides by 2}]\\\\\implies 3\tan^2 x - 6\tan x +\tan x -2 =0\\\\[/tex]
[tex]\implies 3 \tan x( \tan x -2) + (\tan x -2) = 0\\\\\implies (\tan x -2) ( 3 \tan x +1) = 0\\\\\implies \tan x = 2 ~~ \text{or}~~ \tan x = - \dfrac 13\\\\\text{Showed.}[/tex]A triangle has sides with lengths of 13ft, 82ft, and 83ft. Is it a right triangle
Answer:
NOT a right triangle
Step-by-step explanation:
IF it is a right triangle, then the Pythagorean theorem would apply
13^2 + 82^2 = 83^2 ?????
169 + 6724 = 6889
6893 = 6889 ? No...it is NOT a right triangle
How many meters are in 360in?
Answer:
9.411
Step-by-step explanation:
Answer:9.144
Step-by-step explanation:
Our basketball team won 60 percent of their games. If they lost 8 games, how many games did they play altogether?
Answer:
they played 20 games together
Step-by-step explanation:
use percentages
Let x be the number of total games.
If 60% is won games then 40% is lost games.
(8/x)*100 = 40
8/x = 4/10
80 = 4x
X = 80/4
Therefore the number of games is 20
The angle of elevation to a nearby tree from a point on the ground is measured to be 64^{
∘. How tall is the tree if the point on the ground is 49 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary
The height of the tree that forms an angle of 64 degrees and point from the tree is 49 feet is 100.46 ft
The situation forms a right angle triangle.
How to find the sides when given angle of elevationusing trigonometric ratios,
tan 64 = opposite / adjacent
Where
opposite side = height of the treeadjacent side = distance from the point on the ground from the tree.Therefore,
tan 64 = h / 49
cross multiply
h = 49 × tan 64
h = 49 × 2.05030384158
h = 100.464888237
h = 100.46 ft
learn more on angle of elevation here: https://brainly.com/question/27360713
#SPJ1
If a = 9 and b = 4, what is the value of 2a
-b?
Answer:
14
Step-by-step explanation:
2(9)-4=14
Can someone see if my answers are correct!
Sorry i keep asking questions lol, im just really struggling with math and my teacher wont answer my emails! And my mom doesn't understand any of this even though she's good at math! :(
Answer:
Step-by-step explanation:
The cross sectional area of a basketball would indeed be a circle. The units for surface area would be meters squared. The units meters cubed would be volume. Area is inherently a 2-dimensional problem. Therefore, having 3-dimensional units makes no sense. In your case, the correct answer would be yards squared
What is the slope of the line that passes through the points (-1, 6) and (14, 3)? Write your answer in simplest form.
the slope is m= -1/5.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
y_2 - y₁ = m(x₂ - x₁).
here, we have,
the slope of the line that passes through the points (-1, 6) and (14, 3)
Slope: m= y_2 - y₁/(x₂ - x₁).
= 3-6/14+1
= -1/5.
hence, the slope is m= -1/5.
To learn more on slope click:
https://brainly.com/question/3605446
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help help meeeeeee dont understAND
Answer:
2776 is the surface area.
Step-by-step explanation:
19 x 48 = 912 x 2 = 1824. 7 x 19 = 133 x 2 = 266. 49 x 7 = 343 x 2 = 686.
Answer:
2762
Step-by-step explanation:
The formula is:
2*(width*length+height*lenght+height*width)
2*(19*48+7*48+7*19)
this equals 2762
Please help .!!!!!!!!!
Answer:
-60 = x
Step-by-step explanation:
(-1/4)x - 12 = x + 3
(-1/4)x = x + 15
-0.25x = x + 15
-60 = x
Pls help i need this so I can pass
Answer:
i cant see the photo, but i would love to help
Step-by-step explanation:
pls help me with this
Answer:
7 with a remainder of 2
Step-by-step explanation:
i just did the math rn
Solve the following equation. Then place the correct number in the box provided.
6(x - 1) = 4(x - 2)
Answer:
x = -1
Step-by-step explanation:
First we expand both sides :
Let's start with the right side:
6(x-1) = 6x-6
Now we do the left side:
4(x-2) = 4x-8
Now we add 6 to both sides:
(6x-6)+6 = (4x-8)+6
Simplify:
6x = 4x -2
Subtract 4x from both sides:
6x - 4x = (4x-2) - 4x
Simplify:
2x = -2
Divide both sides by 2:
2x÷2 = -2÷2
Simplify:
x = -1
I dont see a box so can't do the second part.
Hope this helps and brainliest please
What is the value of 4(x−2)(x−3)+7(x−2)(x−5)−6(x−3)(x−5) when x=5? Type the answer in the box below.
Answer:
24
Step-by-step explanation:
when x = 5,
4(5-2)(5-3) + 7(5-2)(5-5) - 6(5-3)(5-5)
= 4(3)(2) + 7(3)(0) - 6(2)(0)
= 24
I need some help please
Answer:
24
Step-by-step explanation:
The way you calculate the volume of a shape is length x width x height. 4 x 3 x 2 = 24.
the probability of a certain hockey player making a goal after hitting a slap shot is 1/5. How many successful slapshots would you expect her to make after 120 attempts?
help please. this doesn't make sense
Answer:
a = 39.2650873379cm
b = 11.5529459767cm
Step-by-step explanation:
a - Use the area of a triangle equation - 1/2 * a * b * Sin(C)
1/2 * 8 * 10 * Sin(79) = 39.2650873379cm
b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)
64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398
c = square root of 6.9396506484 = 11.5529459767cm
Put to however many significant figures / decimal places required.
:)
x^2 - 72 = 6x
how to complete the square?
Answer:
x = 12 and x = -6
Step-by-step explanation:
First subtract 6x on both sides to get a 2nd degree polynomial equal to zero:
[tex]x^2-6x-72=0[/tex]
To complete the square, the formula is to divide 'b' by 2 and square the result. The general form for a 2nd degree polynomial of the variable 'x' is as follows:
[tex]ax^2+bx+c=0[/tex]
For your case, b = 6. Therefore, the term that must be added and subtracted to our equation is:
[tex](6/2)^2=3^2=9[/tex]
Add and subtract 9 to our equation to get:
[tex]x^2-6x+9-9-72=0[/tex]
The first three terms form a perfect square, we have:
[tex](x^2-6x+9)-9-72=0[/tex]
[tex](x^2-6x+9)-81=0[/tex]
What multiplies to equal 9 but adds to equal -6? That would be -3 and -3. Therefore:
[tex](x-3)^2-81=0[/tex]
Add 81 to both sides to get:
[tex](x-3)^2=81[/tex]
We want to take the square root, but recall a square root has a positive and negative branch. Therefore we have two solutions:
[tex]x-3=9[/tex]
[tex]x-3=-9[/tex]
[tex]x=12[/tex]
[tex]x=-6[/tex]