Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
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Two boards are placed end to end to make a walkway. One board is 5 feet 11 inches long, and the other board is 4 feet 6 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 5 inches long
Step-by-step explanation:
12 inches = 1 foot
11 inches + 6 inches = 17 inches = 1 foot 5 inches
1 foot 5 inches + 5 feet + 4 feet = 10 feet 5 inches
Therefore, the walking board is 10 feet 5 inches long
cuanto es 3/4 × 5/6
Answer:0.625 or 5/8
Step-by-step explanation:
what is the slope of the line y=4?
Answer:
there is no slope, or a slope of 0.
Step-by-step explanation:
Answer and explain please ILL MARK BRAINLIEST
Answer:
the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.
Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)
9. The radius of sphere is increasing at a rate of 3cm/minute. Find the rate of change of volume
when r=2cm *
V = 12
48л
16л
64 л
32T
Answer:
48π
Step-by-step explanation:
Given that,
The radius of the sphere is increasing at a rate of 3cm/minute, [tex]\dfrac{dr}{dt}=3\ cm/minute[/tex]
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Differentiating both sides wrt t.
[tex]\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r^2\times \dfrac{dr}{dt}\\\\=4\pi r^2\times \dfrac{dr}{dt}[/tex]
Put r = 2 cm and dr/dt = 3 cm/minute
So,
[tex]\dfrac{dV}{dt}=4\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi \times 2^2\times 3\\\\\dfrac{dV}{dt}=48\pi[/tex]
Hence, the correct option is (a) "48π".
"bananas cost 89 cents each at the fruit stand.. Isabel has $11.75. how many bananas can she buy?" i forgot how to do this stuff pls help
Answer:
She can buy 13 bananas
Step-by-step explanation:
She has 11.75 and each banana costs .89
Start by dividing 11.75/.89 = 13.20
She will be able to buy 13 bananas total since she cannot buy a portion of a banana (0.2) so she will just have some leftover change.
PLEASE HELP
what is 74 × 12
please show your work
(I'm giving out easy points dont be sad if you didn't get points on this one, I'll be posting a lot of them so no worries)
Write the equation of the line, in slope-intercept form, through the
following two points
(-4,-9)
(1, 11)
Answer:
(1, 11)
that the answer
I don't know it is not sure it say Write the equation of the line, in slope-intercept form, through the
following two points
that why i say that
Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?
Answer:
54 word per minute
Step-by-step explanation:
if f(x)=2x-1 and g(x)=3x+5, then (f*g)(x) is equal to
gud evng have a gud day
hope u enjoy ur day
(F*g)(x) means to multiply the two equations.
Multiply each term by each term:
2x-1 * 3x+5 =
2x * 3x + 2x*5 + (-1)*3x + (-1)*5 =
6x^2 + 10x -3x -5 =
6x^2+7x-5
A biologist is growing a population of bacteria for a study. The number of millions of bacteria in the population is modeled by a function, f(x), where x is the number of days since yesterday. The table shows values of f(x) for different values of x.
x f(x)
−2 3.25
−1 3.5
0 4
2 7
4 19
The function f(x) can be represented by the equation f(x)=ax+b. Enter the value for a and b in the equation f(x)=ax+b.
Answer:
y = 2x
Step-by-step explanation:
Complete a table of values for –2 < x < 2. Connect the points on the graph with a smooth curve.
Erin Thompson agreed to purchase a house for 97,900
Answer:
wow
Step-by-step explanation:
no way bro that's brazy
Find the derivative of f(x)=4x+7 at x = 5.
Answer:
27
Step-by-step explanation:
f(x) is the same as y
if x=5 then you will multiply 5 by 4 which will give you 20
20 + 7 = 27
The width of the wall is X +2 feet in the diagram if the perimeter of the wall is 6X +10 feet what is the length of the wall
Answer:
Hope this will help you. Here you have to use the formula P = 2(l+b)
1
8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, what amount can be caught at the end of this time
Answer:
At the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
Step-by-step explanation:
Given that 8 million tonnes of fish were caught in the North sea in 2005, if the catch is reduced by 20% each year for four years, to determine what amount can be caught at the end of this time the following calculation must be performed :
100 - 20 = 80
Year 0 = 8 million
Year 1 = 8 x 0.8 = 6.4 million
Year 2 = 6.4 x 0.8 = 5.12 million
Year 3 = 5.12 x 0.8 = 4,096 million
Year 4 = 4.096 x 0.8 = 3.2768 million
Thus, at the end of that period, 3,276,800 tonnes of fish could be caught in the North Sea.
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.
What is a sector of a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
Which is the radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]
[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]
Hence, option b is correct, that is the radius of the circle is 8 inches.
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Cynthia has a photo frame that has a circumference of 56.52cm. What is the radius of the photo frame?
Answer:8.99 cm
Step-by-step explanation:
Answer:
[tex]8.995[/tex]cm
Step-by-step explanation:
The circumference formula is: [tex]C=2\pi r[/tex]
We are given the circumference, which is 56.52cm.
The question wants us to find the radius, r.
To achieve this, we must solve for r.
Plugging in 56.52 for C we get:
[tex]56.52=2\pi r[/tex]
Dividing both sides by [tex]2\pi[/tex], we find r:[tex]8.995[/tex]
[tex]\frac{56.52}{2\pi } =r[/tex]
[tex]8.995[/tex]≈[tex]r[/tex]
If you want to round it up, you can round it to 9cm.
A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?
Answer:
11 buses
Step-by-step explanation:
215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.
By applying Pythagorean theorem to the sides of the right triangle, which has sides as a, b and c, where c is the
hypotenuse, we get
a.) c^2= a^2+ b^2
b.) c^2= a^2– b^2
c.) c^2= a^2 - b
d.) c^2= a^2+ b
=
[tex]c {}^{2} = a {}^{2} + b {}^{2} [/tex]
where,
[tex]c = hypotenuse[/tex]
[tex]a = perpendicular[/tex]
[tex]b = base[/tex]
Hope it helps
PLEASE HELP DUE TONIGHT
Answer:
The answer should be 20,000 feet
Step-by-step explanation:
sin 0 =opposite/hypotenuse
sin 30 = AB/AC
sin 30 = 10000/c
c= 10000/sin 30
c=10000/1/2
c=20,000 feet
The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?
Answer:
The mean length of these 12 people's big finger is of 7.85 cm.
Step-by-step explanation:
Mean value:
Sum of the values of all observations divided by the number of observations.
In this question:
9 + 3 = 12 total observations
Sum:
[tex]9*6.8 + 3*11 = 94.2[/tex]
So
[tex]M = \frac{94.2}{12} = 7.85[/tex]
The mean length of these 12 people's big finger is of 7.85 cm.
PLS HELP
WILL GIVE BRAINIEST
The points plotted below are on the graph of a polynomial. Which of the
following x-values is the best approximation of a root of the polynomial?
Check all that apply.
A. X-1.1
B. X= 4.3
C. x=2.4
D. X=6
E.X=1
Answer:
I don't know the answer but have a site that helps me with math, its called
Step-by-step explanation:
Just check it out
HELP ASAP I WILL MARK BRAINLIST!!!!
Answer 25 degrees
Step-by-step explanation:
90-65 =25
in the following figure, the value of x is ____
Answer:
it should be 20 i hope it helps but im nt 100% sure
Step-by-step explanation:
can someone please help me. my grade is very low in this class although i have no idea how to do this PLEASE HELP!!
Answer:
download symbolab or download photo math it gets I covered on most of that your grade should go up
Answer: How to solve equations
Step-by-step explanation:
You have to use Pemdas the order of operations to solve these types of equations.
Parenthesis,Exponents,multiplication,Division,Addition,subtraction.
Multiplication and division fit in a group left to right.
Addition and subtraction come last but depends on which comes first left to right.
Here you first have to use the distributive property.
3(y+5)=39 multiply 3 times y that gives you 3y. Then multiply 3 times 5 that gives you 15 . So, now you have simplified the left side of the equal sign so you have 3y+15=39 now subtract 15 from both sides and you get 3y=24 then you divide both sides by 3 to get y=8. What I just went over you do again and again to solve all these types of equations. Your trying to solve for the variable so you try to get y or m or n or any variable by itself.
2(4y) + 4(3r) answer
Answer: 8y+12r
Step-by-step explanation:
Take the equation
2(4y)+4(3r)
Distribute the 2 and 4 into the parenthesis'
8y+12r
How do you write 0.00000058 in scientific notation
Answer:
5.8 x 10^-7
Step-by-step explanation:
Answer:
5.8 * [tex]10^{-7}[/tex]
Step-by-step explanation:
Move the decimal so there is one n zero digit to the left of the decimal point. The number of decimal places you moved will be the exponent on the 10. If the decimal moves to the right, the exponent will be negative. If it moves to the left, the exponents will be positive.
balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
please help i put pic of question
Answer: [ -8, -5] or [1, 4]
Step-by-step explanation:
Thats what I got I'm in 7th and I havent learned this yet but hope I helped <3!!!
i will give you brainliest whoever answers correct first!!
Answer:
74.4 (llllllllllll ignore this i need 20 characters to answer)