Answer:
The circumference is equal to 62.8 inches.
Step-by-step explanation:
To find the circumference we need to know the radius or the diameter.
In order to find the radius, we need to know that the area of a circle is equal to π[tex]r^{2}[/tex] (where r is the radius of the circle). Now we can find the radius by using this equation...
100π [tex]in^{2}[/tex]= π[tex]r^{2}[/tex] [tex]in^{2}[/tex]
Now we get...
100 [tex]in^{2}[/tex] = [tex]r^{2} in^{2}[/tex]
r in = 10 in
Therefore, the radius is equal to 10 inches. Now we can find the circumference by using the following formula...
Circumference = 2πr
Now we just sub in the values and get...
Circumference = 2πr = 2(3.14)(10) = 2(31.4) = 62.8
Now we knot that the circumference is equal to 62.8 inches.
PLEASE HELP WOULD REALLY APPRECIATE IT
Write the number in standard form:
9.1×10^-9
Answer:
0.0000000091
..............
What is the area of F?
Answer:
area of circle F = 9 pi
Step-by-step explanation:
An interesting problem, combining geometry and algebra.
It has not been indicated, but it will be assumed that GH is a tangent to the circle F, hence the tangent-secant theorem from point H applies.
Produce HF to point E on the circumference such that EJ forms a diameter of circle F.
By the tangent-secant theorem,
HG^2 = HJ*HE
Substitute given values,
(x+2)^2 = 2*(2*(2x-1)+2)
Expand algebraically
x^2+4x+4 = 2(4x-2+2)
x^2+4x+4 = 8x
x^2-4x+4 = 0
Factor
(x-2)^2 = 0
=>
x=2
Substitute x=2 into radius FG = 2(x)-1 = 3
Therefore area of circle F
= pi r^2
= pi (3)^2
= 9 pi
Can someone please solve these?
Answer:
Step-by-step explanation:
h = -6[tex]t^{2}[/tex] +20t + 4
I will use calculus, maybe that's not how you're supposed to do this
-12t +20 =0
12t = 20
t = 20 /12
t = 1 [tex]\frac{8}{12}[/tex]
t = 1 [tex]\frac{2}{3}[/tex]
there will be a max at 1.6666666666 seconds
-6*[tex]1.6666666666666^{2}[/tex] + 20 * 1.6666666666 +4
= 16.666666666666 + 33.333333333333 + 4
= - 16[tex]\frac{2}{3}[/tex] + 33 [tex]\frac{1}{3}[/tex] + 4
= 20[tex]\frac{2}{3}[/tex] feet max height ( not too high, for a rocket)
time of flight:
0 = -6[tex]t^{2}[/tex] +20t + 4
use quadratic formula to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*4 ] / 2*(-6)
-20 +- sqrt [400 + 96 ] / -12
-20 +- sqrt [496 ] / -12
-20 +- 22.27105 / -12
try the negative option 1st
-42.27105 / -12
3.522 seconds. time of flight
when will the rocket be at 12' ? :
12 = -6[tex]t^{2}[/tex] +20t + 4
0 = -6[tex]t^{2}[/tex] +20t -8
use quadratic formula again to find t
-20 +- sqrt [ [tex]20^{2}[/tex] - 4*(-6)*(-8) ] / 2*(-6)
-20 +- sqrt [ 400 - 192 ] / -12
-20 +- sqrt [208 ] / -12
-20 - 14.4222 / -12
-34.4222 / -12
2.8685 seconds ( on the way down)
and
-20 + 14.4222 / -12
-5.578 / - 12
0.4648 seconds ( on the way up )
A 20 cup fruit salad that is 15% strawberries is in a large container
Answer:5
Step-by-step explanation:
Answer:
15/100 x 20 = 3
Step-by-step explanation:
15 percent of 20 is 3.
Consider 15 out of 100 since a percent is always considered out of hundred.
15
___ x 20 =
100
First thing is first, we ALWAYS have to find what the percent is of and its of 20 fruits.
So 15/100 x 20 would be your equation
we can simplify
15
___ x 20 ------> 1 = 15
100 -----> 5 ___ x 1 = 3
5
To simplify we can divide by 20 on the denominator and the factor.
How do I solve this please help no links
9514 1404 393
Answer:
$735
Step-by-step explanation:
We assume the cover needs to cover the pool only, not any extra area around the pool.
The cost is given per square foot, so to find the total cost, we need to know how many square feet the cover must cover. The cost will be found by multiplying the cost per square foot by the number of square feet.*
The dimensions of the pool are given as 35 ft by 70 ft. The pool area is the product of these dimensions.
A = LW
A = (70 ft)(35 ft) = 2450 ft²
Then the cost is ...
C = ($0.30/ft²)(2450 ft²) = $735
The cost to buy a pool cover is $735.
__
* This is the same rule you use for any purchase. The total cost is the cost per item multiplied by the number of items. Here, each "item" is 1 square foot of pool cover.
Write the equation of the line in slope-intercept form.
Answer: The equation of the line in slope-intercept form is “y = 4/3x + 4.”
PLS HELP
Estimate 12.826+2.93 by first rounding each number to the nearest tenth.
I need the right answer
Answer:
15.8
Step-by-step explanation:
Well if you had to round to the nearest tenth then 12.896 would be 12.9 and 2.93 would be 2.9. The reason is if it is below 5 then you would round down if it is more than 5 then round up. Then add the two numbers which are 12.9+2.9=15.8
Hope it helps. Sorry if it does not!
which expression fits this description??
Answer:
Step-by-step explanation:
We can immediately assume that the answer is either the first or third one based off of the second statement. A product is the result of multiplication, and if you see a number and letter together like in the first and third answers, it means they are to be multiplied. For example, 2a = 2 x a. With the first statement, there are 2 terms in all of the equations so that's no help, but the word sum is the result of addition. In which all two terms are added, so . . . also no help. :( Now the last statement. The thing that will conclude all of your questions. A quotient is the result of division, and it's supposed to be between b and 4. As we can see, in the third equation, they subtract b and 4. That's not division! So that leaves us with one answer. The first equation. . .
Help plz i will give brainlest
what is the difference between the point (6,-3) and (6,5)?
Answer:
6.4 this is the middle between them or like 0.1 is difference
How do you factor?2y2+11y+5=0
How many cubes with side lengths of 1/2 cm can fit inside the rectangular prism
Answer:
7/2 or 3.5 inches
Step-by-step explanation:
The volume of the rectangle=
length×width×height, so
V=1/2×2×7/2
V=1×7/2
V=7/2 cubic inches
Next, Volume of the cube=
side^3, or side×side×side
V=1/2×1/2×1/2
V=1/8 cubic inches
First question,
To find how many cubes with the side of 1/2 length that fir into the rectangular prism, take:
7/2÷1/8
=7/2×8
=28 cubes. As a result, there are 28 cubes that will fit into the prism
Second question,
The volume of the person is 7/2 cubic inches or 3.5 cubic inches. Hope it help!
Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
Help me!! pleaseee and thank uuu!
Answer:
B
Step-by-step explanation:
Answer:
d don't know how to explain it but i think its d
find the vertex of f(x) = -x² + 2x + 7
Answer: There are no like terms.
Answer:=−x^2+2x+7
Step-by-step explanation: Hope this help :D
Answer:
the answer is [1/5,36/5]
Please help I’ll give 5 stars
What is a explication for linear relationship?
Step-by-step explanation:
A linear equation in two variables can be described as a linear relationship between x and y, that is, two variables in which the value of one of them (usually y) depends on the value of the other one (usually x). In this case, x is the independent variable, and y depends on it, so y is called the dependent variable
How do I find the surface area of a trapezoid prism
find the value of x. round to the nearest tenth. side length 16. angle 35. view picture below.
Answer:
[tex]\displaystyle x \approx 9.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 35°
Opposite leg = x
Hypotenuse = 16
Step 2: Solve for x
Substitute in variables [Sine]: [tex]\displaystyle sin35^\circ = \frac{x}{16}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 16sin35^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 16sin35^\circ[/tex]Evaluate trig: [tex]\displaystyle x = 16(0.573576)[/tex]Multiply: [tex]\displaystyle x = 9.17722[/tex]Round: [tex]\displaystyle x \approx 9.2[/tex]30 POINTS
What is (f-g)(x) f(x)= x^4-3x^2+5x-7 g(x)= x^3-3x^2+3x-1
Answer:
x^4 - x^3 + 2x -6
Step-by-step explanation:
(f-g)(x) = x^4-3x^2+5x-7 - ( x^3-3x^2+3x-1 ) = x^4 - 3x^2+5x-7 - x^3 + 3x^2 - 3x + 1 = x^4 - x^3 + 2x -6
Step-by-step explanation:
x^4-3x^2+5x-7 – x^3-3x^2+3x-1
x^4-3x^2+5x-7 – x^3+3x^2-3x+1
x^4-3x^2+3x^2-3x +5x -x^3 -7+1
x^4+2x -x^3 -6
x^4-x^3+2x-6
Harish's soccer team is trying to raise $5,092 to travel to a tournament in Florida, so they decided to host a pancake breakfast. Each person must pay $38 for the breakfast. How many people need to attend their breakfast in order to raise $5,092?
Answer: 134 people
Step-by-step explanation:
Data: The soccer team needs to raise $5,092
They are hosting a pancake breakfast to do so and are charging $38 to do so
The number of people they need to attend their breakfast for the money to be raised: $x
Step one, make the equation
$38x=$5,092
Reason: Since we know that the number of people(x) times $38 will equal $5,092 so to put it into an equation will make it easier to solve.
Step two, Isolate x by dividing by 38 on both sides
$38x/38=$5,092/38=x=134
Reason: Since you are trying to find the number of people(x) you have to isolate it. the way to do that is by getting rid of the 38 next to it and by dividing, you cancel out the multplication and get rid of the 38. However, since what you do to one side you do to the other, you divide 5,092 by 38 to get the answer of 134.
Answer: 134 people
I hope this helps!
Carmina bought 20 pizzas for her party an hour after the party started 2/7 of the pizzas had been eaten how many pizzas have been eaten make an equation to solve a word problem.
Answer:
pizzas eaten =2/7 x 20
5 5/7 pizzas have been eaten
Step-by-step explanation:
pizzas eaten = 2/7 x 20
40 / 7 = 5 5/7
Select the correct descriptions for each circle part
B
с
A
F
E
H Н
G
Answer:
i believe that the answer is G
Step-by-step explanation:
hope this helps <3
Pls answer number 6 fast pls someone help
Answer:
It's in Quadrant IV.
..............
As a rule of thumb, one gallon of paint will usually cover 400 square feet. If Thomas is painting a hallway and the measurements are 12 feet high and 75 feet wide, what is the minimum amount of cans of paint he will need to paint the hallway? Question options: 1 2 3 4 5
Answer:
3
Step-by-step explanation:
Because if you multiply 12x75 you get 900, and if 1 gallon of paint covers 400 square feet then you will need 3 gallons to get to 900.
Answer:
3
Step-by-step explanation:
which coordinate point represents the x-intercept of the equation 5x + 7y = 35
Answer:
the answer is 5
Step-by-step explanation:
5 because mx+by=0
Answer:
intercept is (7,0)
Step-by-step explanation: x-intercept and y-intercept of the line 5x+7y-35 = 0. For, x-intercept, y=0. ∴x - intercept is 7.
Did research, Hope this helps if not am sorry.
50.3 - 5.6 ÷ 0.7 × 1.6 of 3.5
Answer:
5.5 is the correct answer:)
Step-by-step explanation:
Hope this helped!!!
The denominator of a fraction is three more than its numerator. When both the numerator and denominator are increased by one the fraction becomes 1/2. What is the original fraction?
Answer:
The original fraction is [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let the numerator by X
Denominator is three more than its numerator i.e X +3
When both the numerator and denominator are increased by one the fraction becomes 1/2
[tex]\frac{X + 1}{X+3+1} = \frac{1}{2} \\\frac{X+1}{X+4} = \frac{1}{2} \\2X + 2 = X+4\\X = 2[/tex]
Thus, numerator = 2
Denominator = X +3 = 2+3 = 5
The original fraction is [tex]\frac{2}{5}[/tex]
What is the solution to
(y = 3x - 30
x2 + y2 = 100
Answer:
x = 20
y = 30
Step-by-step explanation:
Answer:
x = 20
y = 30
Step-by-step explanation:
y = 3x - 30
2x + 2y = 100
2x + 2(3x - 30) = 100
2x + 6x - 60 = 100
8x - 60 = 100
8x = 160
x = 20
y = 3(20) - 30
y = 60 - 30
y = 30
Identify the slope of x = 9, then complete a
table of values for the equation.
Answer:
It's undefined since it's a vertical line.
Step-by-step explanation:
PLEASE HELP WILL MARK BRANLIEST
If f(x)= 4x-12 and the value of f(2)= -4, find f(5). *