area of circle = π r²
π r²= 49 π
r²= 49 r= √49 r= 7
circumference of circle = 2 π r
= 2×7 × π
= 14 π
The circumference of a circle is 14π.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of πr.
The area of a circle is πr².
We have,
Area of a circle = 49π in².
Area of a circle = πr²
Now,
πr² = 49π
r² = 49
r = 7
Now,
Circumference of a circle.
= 2πr
= 2π x 7
= 14π
Thus,
The circumference of a circle is 14π.
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If you answer I’ll make you the brainiest
Answer:
the second one
Step-by-step explanation:
if it is right pls mark brainliest thanks :)
Explain the meaning of F(30) = 8,950 in this situation
Answer:
when you have something like f(x)=... that means
f means function
and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2
I need help with this, please. Someone?
Answer:
6:8:10
Step-by-step explanation:
Angles A and Care supplementary. Find the measure of angle C.
There is a picture
Answer:
106 degrees
Step-by-step explanation:
180 -74 = 106
The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
What are supplementary angles?Two angles are said to be supplementary angles when they add up to 180 degrees.
Two angles are supplementary, if
a). one of its angle is an acute angle and another angle is an obtuse angle.
b). both of the angles are right angles.
This means that if A and B are the two angles then
[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees
According to the given question we have
angles A and C are supplementary
and, [tex]m[/tex]∠A = 74 degrees
therefore,
the measure of angle C is calculated as
[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees (sum of the supplementary angles)
74 + [tex]m[/tex]∠C = 180 degrees ( [tex]m[/tex]∠A = 74 )
[tex]m[/tex]∠C = (180 - 74)degrees ( subtracting 74 degrees both the sides)
[tex]m[/tex]∠C = 106 degrees
Hence, second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.
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2.5(4p-16) simplified
Answer:
10p-40 = 10(p-4) this is the answer of this question
How is adding and subtracting rational numbers similar and different than adding and subtracting integers?
Answer and explanation:
A rational number is a number that can expressed as fraction where the demoninator of the fraction is not zero, example 2/3, 5/1, 4/6 etc
An integer is a whole number, negative or positive example - 2, 3, -4, 1 etc
Adding and subtracting integers and rational numbers are not very much different. Most numbers are rational numbers anyway. When adding rational numbers 1/2+3/1 for instance, we simply add them like normal fractions:
1/2+3/1= 1+6/2=7/2=2 1/2
When adding intergers 2+4, we add normally as in the number line = 6
can someone please help its due soon.ill give brainliest!
Answer:
z = 17.5
Step-by-step explanation:
To get the value of z, we use the bisector theorem
7/z = 6/15
6z = 7 * 15
6z = 105
z = 105/6
z = 17.5
28+c=36 what is the value of c
Answer:
to find the value of c, isolate it.
28 + c = 36
c = 36 - 28
c = 8
now, to check:
28 + 8 = 36 ✓
Solve the formula C = d for d.
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
[tex]d^2 = l^2 + l^2[/tex]
[tex]d^2 = 2l^2[/tex]
Take positive square root of both sides
[tex]d = \sqrt{2l^2}[/tex]
Split:
[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]
[tex]d = \sqrt{2} *l[/tex]
Recall that the side length (l) is rational.
However, [tex]\sqrt 2[/tex] is irrational.
So, the product of l and [tex]\sqrt 2[/tex] will be irrational
Hence:
The diagonal is irrational
Simplify (6w + 5.2) + (12.2 + 2.3w)
Answer:
The answer is 8.3 W + 17.4
If you click on the image it will show you how to solve the equation and I hope this helps you.
A 3-gallon bottle of fabric softener costs $33.24. What is the price per quart?
Answer:
$2.77 per quart.
Step-by-step explanation:
There are four quarts in a gallon.
4 * 3 = 12
There are 12 quarts in 3 gallons.
[tex]\frac{price}{quart} =\frac{33.24}{12}=\frac{33.14/12}{12/12}=\frac{2.77}{1}=\boxed{2.77}[/tex]
The price per quart should be $2.77.
Hope this helps.
3(2h+5)+4 so i dont get what it is, can someone help please?
Answer:
An linear equation in one variable
Step-by-step explanation:
Variable:h
Equation:6h+19
find the length of side x in simplest radical form with a rational denominator 60 30 x 2
Answer:
x = √3
Step-by-step explanation:
Looking at the given triangle,
x is the adjacent side while 2 represents the hypotenuse side.
Now, from trigonometric ratios, we know that;
Adjacent/hypotenuse = cos θ
The angle here will be 30°
Thus;
x/2 = cos 30°
We are told to find x in simplest radical form with a rational denominator.
Thus means we will use the surf value of the angle.
cos 30° in surd form = (√3)/2
Thus;
x/2 = (√3)/2
x = 2 × (√3)/2
x = (√3)/1
x = √3
The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x.
The length of a rectangle is 3 times as big as the width. Length = 3x
New width = x + 4
New length = 3x + 4
The new area will be:
a = (3x + 4)(x + 4)
a = 3x² + 12x + 4x + 16
a = 3x² + 16x + 16
-10(d+1)=-14
What is the value of d
Answer:
[tex]d=\frac{2}{5}[/tex]
Step-by-step explanation:
-10 (d+1) = -14
-10d -10 = -14
-10d = -14 + 10
-10d = -4
d = 4/10
d= 2/5
ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =
Answer:
-38
Step-by-step explanation:
This another nae for fraction or quotient.It can also be written in the forms 'a:b' and a to b', where a and b are numbers.
Answer:
The answer is "Ratio".
Step-by-step explanation:
A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.
It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.
what is value of x for which the equation 9^-6 x 9^x = 1
Answer:
x=6
Step-by-step explanation:
9^-6*9^x=1
(x-6)In(9)=In(1)
Awnser
x=6
An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS
Answer:
The other angles can be 56°, 68°, or 62°.
Step-by-step explanation:
If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°
If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.
The other angles can be 56°, 68°, or 62°.
Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?
construct the incenter
construct the orthocenter
estimate the best place
construct the circumcenter
===========================================================
Explanation:
Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.
This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.
To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.
-------------
Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.
A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12
feet and a length of 13 feet. What is it's width? *
Answer:
22.5 feet.
Step-by-step explanation:
Volume = length * height + width, so:
3510 = 13 * 12 * width
So width = 3510 / (13*12)
= 22.5 feet.
I need help I don’t get how to solve it plsss help me
Answer:
Step-by-step explanation:
They give you the equation, you must substitute the x values into the equation to find the y values.
Example on top equation:
y=-5x so the y values would be
y=-5(-1)=5
y=-5(0)=0
y=-5(1)=-5
y=-5(2)=-10
please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid. Be sure to use the proper area formula from your lesson notes!
Make sure to show your work and explain the steps you took in solving the problem using the words “first,” “next,” and “last.”
Answer:
the area is 110. the formula for a trapezoid is A= a+b/2 × h.
A= a+b/2 ×h= A= 9+13/2×10=110
Use this and explain yourself
a(-6)=-42
solve for a
Answer:
7
Step-by-step explanation:
Answer:
A = 7
Step-by-step explanation:
You would take -42/-6 because that will tell you what x -6=-42
-42/-6 = 7
Also. you have to remember that a negative divided or multiplied by a negative = a positive
Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x
Given the function below, find f(-5): f(x)= x^2 + 3x - 21
Answer:
Step-by-step explanation:
f(-5) = (-5)^2 + 3(-5) - 21
= 25 - 15 - 21
= -11
Answer:
11
Step-by-step explanation:
) f(x) = 3x2 + 5 and y = 3x2 + 5 ... You read this problem like this: “given f of x equals 4x plus one, find f of 2. ... Given f(x)= 3x – 4, f(5) = 11.
thank you!!! 20 points
Answer:
Assuming that the figure is a rectangle:
x=12
angle GJH=22 degrees
Step-by-step explanation:
angle GHJ=angle IJH
5x+8=7x-16
simplify
2x=24
x=12
angle IJH=7x-16
substituting for x
IJH=7(12)-16=84-16=68 degrees
angle GJH=90-IJH
angle GJH=22 degrees
PLZ HELP PLZ GIVING 15 POINTS AND GIVE BRAINLIEST
Answer:
12/7
Step-by-step explanation:
[tex]6=\frac{6}{1} \\\frac{6}{1}*\frac{2}{7}=\frac{12}{7}[/tex]
When you multiply fractions you multiply straight accross
Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times
Answer:
0.75 ;
150
Step-by-step explanation:
Probability of rolling two even numbers :
{1, 2, 3, 4, 5, 6}
P(even) = 3 / 6 = 1/2
From a roll of 2 dice :
P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25
P(not even) = 1 - 1/4 = 3/4
X : ____ 6 _______ - 1
P(x) ____ 0.25 ____ 0.75
Expected value :
Σx*p(x) = (6*0.25) + (-1 * 0.75)
= 1.50 - 0.75
= 0.75
If 200 games are played :, n = 200
Expected value * n
0.75 * 200
= 150