find the radius of a circle having area 2464cm²
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Area of the circle = 2464 cm².
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The radius of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:radius \:of\:the\:circle\:is\:28\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Let "[tex]r[/tex]" be the radius of the circle.
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]
[tex]⇢ 2464 \: {cm}^{2} = \frac{22}{7} \times {r}^{2} \\\\ ⇢ {r}^{2} = 2464 \: {cm}^{2} \times \frac{7}{22} \\ \\⇢ {r}^{2} = \frac{17248}{22} \: {cm}^{2}\\ \\⇢ {r}^{2} = 784 \: {cm}^{2} \\ \\⇢ r = \sqrt{784 \: {cm}^{2} } \\ \\⇢ r = \sqrt{28 \times 28 \: {cm}^{2} } \\ \\⇢ r = 28 \: cm[/tex]
[tex]\boxed{Therefore,\:the\:radius \:"r"\:of\:the\:circle\:is\:28\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\blue{Happy\:learning }}{\blue{!}}}}}[/tex]
A. 0.1
B. 0.5
C. 2
D. 5
Answer:
5 I think
Step-by-step explanation:
Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho
Answer:
0.5
Step-by-step explanation:
So we know the orginal is 10 in size.
The new is 5 in size.
We can think of this as 10 : 5
To find the exact scale, we can divide both by the GCF.
The GCF is the greatest common factor between two numbers.
In this case, the GCF would be 5, now lets divide:
10/5 : 5/5
=
2 : 1
So we can see the ratio is 2 to 1.
Now, the scale is not 2.
The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.
To find the scale, you must divide the new scaled value by the orginal value:
1 / 2
=
1/2
So this is your scale factor.
There is actually another way to do this as well, which is quicker.
Take the new value, 5, and divide it by the orginal value, 10:
5/10
=
1/2
Either way, you get 1/2 as your answer.
Hope this helps!
Find the volume of the cylinder round your answer to the nearest tenth.
Answer:
V = 17362.9 ft^3 using 3.14 for the approximation
17371.8 ft^3 using the pi button
Step-by-step explanation:
V = pi r^2 h where r is the radius and h is the height
V = pi (12)^2 ( 38.4)
V =pi ( 144) 38.4
5529.6pi
Letting pi be 3.14
V = 5529.6 (3.14)
V =17362.944 ft^3
Rounding to the nearest tenth
V = 17362.9 ft^3
Letting pi = pi button
V =17371.75074 or to the nearest tenth 17371.8 ft^3
hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation
Answer:
I hope the above attachment helps you mate
Have a great day
[tex]#Liliflim[/tex]
Answer:
Solution given;
a⁴-23a²b²+b⁴
making in the form of a²+2ab+b²
a⁴+2a²b²+b⁴-2a²b²-23a²b²
(a²+b²)²-(5ab)²
factoring by using formula
x²-y²=(x+y)(x-y)
(a²+5ab+b²)(a²-5ab+b²)
Can someone help me?It's urgent and thank you!
Answer:
5 is added to the product of 4 and 3
which graph is the graph of f(x)= (x - 1)/(x + 2) ?
Answer:
going clockwise from upper left the correct graph is the 2nd one
Step-by-step explanation:
asymptote at -2
AB=? Round your answer to the nearest hundredth
Please give me the answer and show me how you solved it
Answer:
11/2 miles per hour
Step-by-step explanation:
that is the procedure above
In how many year the interest will became equal to the principal is rs.1200 is deposited at the rate of 25% in a bank
Given:
Principal = Rs. 1200
Rate of interest = 25%
To find:
The time in which the interest will became equal to the principal.
Solution:
We have,
[tex]P=1200[/tex]
[tex]r=\dfrac{25}{100}[/tex]
[tex]r=0.25[/tex]
If interest is equal to the principal, then
[tex]Amount=Principal+Interest[/tex]
[tex]Amount=1200+1200[/tex]
[tex]Amount=2400[/tex]
The formula for amount is:
[tex]A=P\left(1+r)^n[/tex]
Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get
[tex]2400=1200(1+0.25)^n[/tex]
[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]
[tex]2=(1.25)^n[/tex]
Taking log on both sides, we get
[tex]\log2=\log(1.25)^n[/tex]
[tex]\log2=n\log(1.25)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]
[tex]n\approx 3.11[/tex]
Therefore, the interest will became equal to the principal in about 3.11 years.
A roof is supported o 7 rafter each 6 1/2 feet long at 70 cents running foot how much did those rafters cost
Answer:
$31.85
Step-by-step explanation:
total cost of the rafters = total length of rafters used x cost per foot
total length of rafters used = number of rafters used x length of rafters
7 x [tex]6\frac{1}{2}[/tex]
to solve, convert [tex]6\frac{1}{2}[/tex] to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
7 x [tex]\frac{13}{2}[/tex] = [tex]\frac{91}{2}[/tex]
cost per foot = 70 cents
100 cents = 1 dollar
70 cents = $0.70
total cost of rafters = $0.70 x [tex]\frac{91}{2}[/tex] = $31.85
Round to the nearest tenths place30.06858282
Answer:
30.1
Step-by-step explanation:
Have a great summer :)
answer?? please answer
Answer:
The slope of function A is less than the slope of function B
Step-by-step explanation:
Function A:
Slope is given in 1/3x the slope is 1/3
Function B:
Slope is -8 /-12 = 2/3
Compare:
1/2<2/3
function a is less than function b
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find m∠ABC.
132°
48°
19°
21°
Answer:
Step-by-step explanation:
48
Math help please I need it ASAP
Answer:
x=10.5
Step-by-step explanation:
[tex]\frac{x}{6} =\frac{7}{4} \\x=\frac{7}{4} \times 6\\=\frac{21}{2} \\=10.5[/tex]
pls explain the answer
Answer:
even
Step-by-step explanation:
itz even cos it is divisible by 2
Answer:
6 is even number.
Step-by-step explanation:
An even number is a number that can be divided into two equal groups.
An odd number is a number that cannot be divided into two equal groups.
for example, if 6 divided into 2 groups then 3 in one group and 3 in another group, therefore there are equal groups.
if 7 divided into 2 groups then 3 in one group and 4 in another group, which is not equal.
If the circumference of a circle is 10π inches, what is the area, in square inches, of the circle?
Answer:
25π square inches or 78.5 sq in
Step-by-step explanation:
circumference = π x diameter
thus
10 π inches= π x d
d = 10 inches
area of circle = π x d x d / 4
= π x 10 x 10 x 4
= 25π sq in
= 78.5 sq in
find the first 5 terms in 3n^2/2
which are like terms
will give brainest if correct
Answer:
3ad³
Step-by-step explanation:
Like terms have same variables with same powers.
12ad³ and 3ad³ has same variables a and d³
1. Relaciona cada situación con los conceptos básicos de la geometría. Explica tu respuesta. a. Una estrella en el cielo. b. Un rayo de luz. c. La superficie del agua en un lago. 2. Escriba falso o verdadero, según corresponda; luego represente gráficamente para justificar su respuesta. a. Dados dos puntos distintos, hay exactamente una recta que los contiene. b. Dos rectas que se intersectan determinan un plano. c. Tres puntos diferentes no colineales determinan un plano.
Answer:
Una estrella en el cielo está relacionada con un punto de geometría básica.
Un punto es un objeto matemático que tiene una dimensión 0, pero que se puede especificar en un espacio de n dimensiones, utilizando coordenadas 'n'
Una estrella se puede ubicar usando un sistema de coordenadas, y las dimensiones de la estrella no se pueden estimar fácilmente a partir de su apariencia.
B. Un rayo de luz está relacionado con un rayo en geometría básica.
Un rayo en geometría básica, tiene un punto de inicio definido, pero no tiene fin, por lo tanto, un rayo de luz está relacionado con un rayo en geometría básica
C. La superficie del agua en el lago está relacionada con un plano en geometría básica.
La superficie del agua es una superficie coplanar, de manera que las cuatro esquinas y otros puntos existen en el mismo plano (la superficie del agua), lo que equivale al plano, que también tiene 3 o más puntos en el mismo nivel.
2. a. Cierto
Por favor el dibujo adjunto
DD DD
B. Cierto
Por favor el dibujo adjunto
DD SS DD SS
C. Cierto
Por favor el dibujo adjunto
DD SS DD SS
Step-by-step explanation:
The table shows the number y calories burned in x minutes.
Find the missing y-value that makes the table represent a
linear function.
50
100 150
Input, x 0
Output,
O
у
24
36
У
Answer:
12
Step-by-step explanation:
The equation
2x(50) = 24
x(50) = 12
Answer:
y = 12
Step-by-step explanation:
36 - 24 = 12.
24 calories were burned in 100 minutes. 36 calories were burned in 150 minutes. That means that in 50 minutes (150 - 100) 12 calories were burned.
E(-2,-1) and F(-2,-5) what is the distance in each pair of points
Answer:
6 units
Step-by-step explanation:
E(-2 , -1) = (x1 , y1)
F(-2 , -5) = (x2 , y2)
distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
=[tex]\sqrt{(-2 - (-2))^2 + (-5 - (-1))^2}[/tex]
=[tex]\sqrt{(-2 + 2)^2 + (-5 + 1)^2[/tex]
=[tex]\sqrt{0^2 + 6^2}[/tex]
=[tex]\sqrt{36}[/tex]
= 6 units
Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
Please give real answers with an explaination. 50 points + I will follow + I will give brainliest + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
B
Step-by-step explanation:
Look at the figures below.
Figure A.
The median of a quadrilateral was drawn as the red segment. It split the interior angle of the quadrilateral into angles 1 and 2. Angles 1 and 2 are clearly not congruent. Statement A is false.
Figure B.
The red segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Statement B is true.
Figure C.
The red midsegment cuts the triangle into two areas, crosshatched in blue and green. The areas are clearly not equal, so statement C is false.
The price of a cell phone is 500$ Kathleen pays 8% sales tax on the price of the cell phone. How much sales tax does she pay?
Answer:
8%/100×500=$40
Kathleen pays $40 sales tax
What is the value of the following expression? 5.5(k+7), when k= -7
Answer:
0
Step-by-step explanation:
5.5(-7+7)
5.5(0)
0
Answer:
0
Step-by-step explanation:
putting k = -7
=> 5.5. ( -7 × 7)
=> 5.5 × 0
=> 0
since any number we multiplied by zero is zero
A family tree business removes overgrown trees for 3 months in the summer. In June, they removed 1/3 the number of trees as they did in July. In August, they removed twice the number of trees as they did in July. They removed less than 1000 trees in the three months. What is the maximum number of trees they removed in July?
Answer: 299
Step-by-step explanation:
Given
Family removes one-third of tress in June as much as they dd in July
They remove twice the number of July in august
Suppose they removed x trees in July
for June it is, [tex]\frac{x}{3}[/tex]
for August, it is [tex]2x[/tex]
If they removed less than 1000 tress in 3 months
[tex]\Rightarrow \dfrac{x}{3}+x+2x<1000\\\\\Rightarrow \dfrac{x+3x+6x}{3}<1000\\\\\Rightarrow \dfrac{10x}{3}<1000\\\\\Rightarrow \dfrac{x}{3}<100\\\\\Rightarrow x<300[/tex]
So, maximum number of tress removed in July is 299
HELP NEEDED!! Find the sine of W
Answer:
[tex]\frac{\sqrt{47}}{10}[/tex]
Step-by-step explanation:
First you find the missing side using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex].
Which is [tex](\sqrt{53})^{2} + b^{2} = 10^{2}[/tex].
do the squares to make it 53 + [tex]b^{2}[/tex] = 100 and solve for b.
[tex]b^{2} = 100-53\\b^{2} = 47\\b= \sqrt{47}[/tex]
Sine of an angle is Opposite over Hypotenuse to get
[tex]\frac{\sqrt{47} }{10}[/tex]
If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15
Edgar is learning to make handmade corn tortillas from his grandmother in preparation for a family gathering. His
grandmother explains to Edgar that to make
delicious corn tortillas, he needs to add 2 cups of masa, or corn flour, for every
1.5 cups of hot water, which will make 15 tortillas. If Edgar uses the same relationship of masa to cups of water and needs to
make 90 tortillas for the gathering, how many cups of masa and water does he need?
Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
What is division?A method of dividing something into equal parts is called division.
How to solve this problem?Given that 2 cups of masa and 1.5 cups of water are needed for 15 tortillas.
Edgar wants to make 90 tortillas.
We can think Edgar wants to make 90/15 = 6 bunches of 15 tortillas.
1 bunch of 15 tortillas needs 2 cups of masa.
So, 6 bunches of 15 tortillas need 6 * 2 = 12 cups of masa.
Again 1 bunch of 15 tortillas needs 1.5 cups of water.
So, 6 bunches of 15 tortillas need 6 * 1.5 = 9 cups of water.
Therefore, Edgar needs 12 cups of masa and 9 cups of water to make 90 tortillas.
Learn more about division here -
https://brainly.com/question/13706292
#SPJ2
Answer all the of the question plsss, and I might give you more points after. I need this plssssssss ty lol. Show all work too.
Answer:
(3, 6)
Step-by-step explanation:
[tex]y=4x-6[/tex]
[tex]6=4(3)-6[/tex]
[tex]6=12-6[/tex]
[tex]6=6[/tex]
[tex]3y=-2x+24[/tex]
[tex]3(6)=-2(3)+24[/tex]
[tex]18=-6+24[/tex]
[tex]18=18[/tex]
x = 3, y = 6
By substitution method,
[tex]y = 4x - 6[/tex]
[tex]3y = - 2x + 24[/tex]
[tex] \frac{3y - 24}{ - 2} = x[/tex]
[tex]y = 4( \frac{3y - 24}{ - 2} ) - 6[/tex]
[tex]y = \frac{12y}{ - 2} + \frac{ - 96}{ - 2} - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 48 - 6[/tex]
[tex]y = \frac{12y}{ - 2} + 42[/tex]
[tex]y - 42 = \frac{12y}{ - 2} [/tex]
[tex] - 42 = \frac{12y}{ - 2} - y[/tex]
[tex] - 42 = \frac{12y}{ - 2} - \frac{ - 2y}{ - 2?} [/tex]
[tex] - 42 = \frac{12y + 2y}{ - 2} [/tex]
[tex] - 42 = \frac{14y}{ - 2} [/tex]
[tex] - 42 \times - 2 = 14y[/tex]
[tex]84 = 14y[/tex]
[tex] \frac{84}{14} = y[/tex]
[tex]6 = y[/tex]
[tex]\frac{3(6) - 24}{ - 2} = x[/tex]
[tex] \frac{18 - 24}{ - 2} = x[/tex]
[tex] \frac{ - 6}{ - 2} = x[/tex]
[tex]3 = x[/tex]
Therefore,
The solution is (3, 6).