Answer:
Center point: [tex](-4,6)[/tex]
Radius: [tex]r=5[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center point of the circle and [tex]r[/tex] is the radius of the circle.
Given our equation [tex](x+4)^2+(y-6)^2=25[/tex], we can see that [tex](h,k)[/tex] is [tex](-4,6)[/tex] and since [tex]r^2=25[/tex], our radius is [tex]r=\sqrt{r^{2} } =\sqrt{25} = 5[/tex]
Therefore, the center point is [tex](-4,6)[/tex] and the radius is [tex]r=5[/tex]
Hanako is putting up a fence around their rectangular yard. The fence will be 15 yards long and 6 yards wide. What is the area of Hanako's fence, in square yards?
Answer:
90 Square Yards
Step-by-step explanation:
To find the area of a rectangle, all you do is multiply the length by the width.
in your equation, the length is 15 and the width is 6.
And 15 x 6 = 90, so the answer is 90 Square Yards.
If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit?
Answer:
4:24
Step-by-step explanation:
12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24
hope that helps!!
Answer: 1 : 6
Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .
A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АЛ
A. The vertical cross-sections of the prisms at the same width must
have the same area.
B. The area of the cross-sections of the prisms are multiples of each
other.
C. The cross-sections of the prisms are the same shape.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.
Answer:
D. The horizontal cross-sections of the prisms at the same height must have the same area.
Step-by-step explanation: I dont know what the guy above is saying but this is the right answer
Since it is given that both prisms have the same height and volume, the answer is option D. The horizontal cross-sections of the prisms at the same height must have the same area.
A solid figure is one which has surface area and volume. Examples are prisms, cube, cuboid etc. Thus cones and pyramids are solid figures.
From the given question,
Volume of a cone, V = [tex]\frac{1}{3}[/tex][tex]\pi r^{2} h[/tex]
where r is its radius, and h its height
also,
Volume of a pyramid, V = [tex]\frac{1}{3}[/tex] lwh
where l is its length, w is the base width and h is its height.
Given that: i. volume of cone = volume of pyramid
ii. height of cone = height of pyramid
Then,
[tex]\frac{8}{3}[/tex][tex]\pi r^{2}[/tex] = [tex]\frac{8}{3}[/tex]lw
[tex]\pi r^{2}[/tex] = lw
Thus it can be deduced that at the same height, the horizontal cross section of the prisms have equal area. So that option D is the appropriate answer to the given question.
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The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace
Answer:
Equation for the skating palace
= 6 + 2x
Step-by-step explanation:
Let the number of hours = x
For skating palace, the equation is written as:
The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.
$6 + $2 × x
= 6 + 2x
For Mathland , the equation is written as:
Mathland skating rink charges $4.00 an hour to skate .
$4 × x
= 4x
Therefore, the equation that represents the situation on the skating palace is :
6 + 2x
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric.
Answer:
The answer is below
Step-by-step explanation:
A square pyramid is a pyramid with a square base. Therefore it is composed of 4 identical triangles and a square base.
From the image attached:
Area of each of the triangle = (1/2) * 3 m * 4.5 m = 6.75 m²
Area of base = 3 m * 3 m = 9 m²
Since the sides are covered in blue fabric, hence:
Surface area of blue fabric = 4 * area of each triangle = 4 * 6.75 m² = 27 m²
The base is covered with brown fabric, hence Surface area of brown fabric = 4 * area of each triangle = 4 * 9 m² = 36 m²
Johnny flipped a coin 450 times. His results are:
Heads: 240
Tails: 210
What is the experimental probability that the coin lands on heads?
Please help
please helpp 10 points and brainlyist if you are right.Thanks
Answer:
58
Step-by-step explanation:
On a winter day in the Midwest, the temperature got colder than 5 degrees below zero when measured in degrees Fahrenheit. Which of these inequalities correctly represents the temperature? For each inequality, assume that x is the temperature and that the constant is the number of degrees Fahrenheit. (No links.)
A
x<−5
B
x>−5
C
x<5
D
x>5
Answer:
A
Step-by-step explanation:
The question asks us what equation would represent a temperature less than -5. The answer must then be A.
Answer:
The answer is A. x<-5
Step-by-step explain:
So the question is On a winter day in the Midwest, the temperature got colder than 5 degrees below zero when measured in degrees Fahrenheit. Which of these inequalities correctly represents the temperature? Basically It is simple you have to figure out which inequality accurately represents the temperature. What u can do is imagine x is the temperature and the 5 is the number that way it will be way easier to figure out!!!! MARK ME AS BRAINLEIST PLS??
32. A data set is normally distributed
with mean 18 and standard
deviation 2.7. Approximately what
percent of the data are greater
than 14?
(A) 0.7%
(B) 6.9%
0.9%
D 93.1%
Answer:
93.1%
Step-by-step explanation:
Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.
Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.
a. What is the minimum value of the modulus of n?
√10
Provide one example of the complex number, n.
A = J → 2 + 6i
B = F →75
C = H → -3 - i
D = I → 1 + i
E = G → 5 + 5i
these are my matching pairs
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Let n be x+yi
So
√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50Minimum value is 5+5i as 5²+5²=50
Volume (look at the picture)
Answer:
192 is the volume
Step-by-step explanation:
Answer:
192 cubic (measurement you are using)
Step-by-step explanation:
Formula for the volume of a pyramid is length of base times width of height times the height of the pyramid all over 3 so it would be 8x8x9 all over 3 which is 576, and 576 divided by 3 is 192
What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
tenth of a cubic meter?
The volume of a sphere with a diameter of 9.3 is 521.
what is Volume of sphere?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Volume of sphere is = 4/3*π*r³
d=9.3, radius= 9.3/2
Volume of sphere = 4/3*22/7*4.65*4.65*4.65*4.65
= 421.16 m³
= 521
Learn more about volume of cylinder here:
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math question please help
Answer:
12 days, 72 tickets
Step-by-step explanation:
the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.
plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.
The diameter of a circle is 20 m. Find its area in terms of π
Answer:
100π m^2
Step-by-step explanation:
Given data
Diameter= 20m
Radius= 10m
The expression for the area is
Area= πr^2
Area= π*10^2
Area= π*100
Area= 100π m^2
Hence the area is 100π m^2
A jeweler had 38 inches of silver chain. She need five times that much to make some necklaces and 3 times that amount to make some bracelets. How much silver chain does the jeweler need to make her necklaces and bracelets?
Answer:
304 IN
Step-by-step explanation:
total inches needed for necklace : 38 x 5 = 190
total inches needed for necklace : 38 x 3 = 114
190 + 114 = 304 inches
What is the range of the following data set? 60, 40, 35, 45, 39
Answer:
25
Step-by-step explanation:
35,39,40,45,60
60-35=25
Can someone tell me the answer for 7.05 x 9.4
Answer:
[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]
[tex]7.05 \times 9.4 \\ = 66.27[/tex]
Eva draws a line that includes the points (2,0) and (-2,2) which function gives all the points (٫) on this line
Possible answers
= -1/2 + 1
= -2 +1
= 1/2 -1
= 2 -1
Given:
A line passes through the points (2,0) and (-2,2).
To find:
The equation of the line.
Solution:
If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (2,0) and (-2,2). So, the equation of the line is:
[tex]y-0=\dfrac{2-0}{-2-2}(x-2)[/tex]
[tex]y=\dfrac{2}{-4}(x-2)[/tex]
[tex]y=-\dfrac{1}{2}(x-2)[/tex]
[tex]y=-\dfrac{1}{2}(x)-\dfrac{1}{2}(-2)[/tex]
[tex]y=-\dfrac{1}{2}x+1[/tex]
Therefore, the required equation is [tex]y=-\dfrac{1}{2}x+1[/tex].
Note: In the options, the variables are missing.
Geometry please help.
Answer:
CD = 16
Step-by-step explanation:
We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE
We are given BE, and we found the length of AB, so we can substitute and solve for AE:
AB = AE + BE
17 = AE + 2
AE = 15
Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.
Now, we can use the pythagorean theorem to find the length of CE.
a^2 + b^2 = c^2
We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:
CE^2 + AE^2 = AC^2
CE^2 + 15^2 = 17^2
CE^2 + 225 = 289
CE^2 = 64
CE = 8
Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.
Again, using segment addition postulate, we can say:
CE + DE = CD
CD = 8 + 8
CD = 16
is any body board because i am:(
frl this place is boring
Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
L = 150
Step-by-step explanation:
y intercept: when x = 0
Plug in x = 0 into the equation.
L = 150
This means that Parker has not yet begun to pay his friend.
Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon. Then, he cuts off 9 inches to decorate the present. How many inches of ribbon does he have left now?
Answer:
63 inches
Step-by-step explanation:
Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon.
Step 1
We convert from yards to inches
1 yard = 36 inches
2 yards = x
Cross Multiply
x = 2 × 36 inches
x = 72 inches
Step 2
Then, he cuts off 9 inches to decorate the present.
The number of inches of ribbon he has left now is calculated as:
72 inches - 9 inches
= 63 inches
Therefore, he has 63 inches of ribbon left
Please help me with this thx need soon
Answer:
A) x = 7
Step-by-step explanation:
7x + 1 + 7x + 6 + (180° - 15x) = 180°
14x + 7 + 180° - 15x = 180°
combine like terms:
-x = -7
x = 7
Find the length of the boldest arc. Rounded answer to the nearest hundredth (use 3.14 for pie)
Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.
How much is Nancy and Fabian’s final bill after tax is added?
Answer:
gtbhytyt4ff5ddtd56cc6c6c6c6f6c66ffb
The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.
Let "T" be the final bill. Then the equation is given as,
2.5% = [(T - $28) / $28] x 100
0.025 = (T - $28) / $28
T - $28 = $0.70
T = $28.70
The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.
More about the percentage link is given below.
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A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire race?
Answer:
31.5 minutes
Step-by-step explanation:
21 / 2 = 10.5
10.5 x 3 = 31.5
what is the square root 55 explanation plzz
The principal, real, root of:
[tex]\sqrt[2]{55}[/tex] =7.41619849
how do I solve this?
Answer:
The final answer is (2,-1)
(also idek what I did in the photo but I'm positive the answer is (2,-1)
What is the radius, Diameter, Area, and Circumference of a 12 feet circle? (No links or fake answers, actually give me a right answer)
Answer:
12ft, 6ft, 36πft², 12πft
Step-by-step explanation:
Diameter: the distance across the circle - so 12ft
Radius: half the diameter = 0.5(12) = 6ft
Area: πr² = π(6)² = 36π ft² (substitute in 22/7, 3.14, or the exact value of π as fit)
Circumference: 2πr = πd = 12πft
simplify 3²×5² what is the answer
Answer:
9.25=225
Step-by-step explanation:
Can You teach english and math