Step-by-step explanation:
Let x be the width of the parking lot. Then (x + 10) is the length of the parking lot.
x(x + 10) = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
(x+30)(x-20) = 0
x = 20 or x = -30 (rejected as x must be positive)
Hence the length is 30 yards and the width is 20 yards.
the area of a circle is 32 pi square units find its perimeter
Answer:
[tex] \boxed{ \bold{ \huge{ \bold{ \sf{20.05 \: \pi \: units}}}}}[/tex]
Step-by-step explanation:
Area of a circle ( A ) = 32 π units
Radius of a circle ( r ) = ?
Perimeter of a circle ( P ) = ?
First ,finding the radius of a circle :
[tex] \boxed{ \sf{area \: of \: a \: circle = \: \pi \: {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32 \: \pi= \: \frac{22}{7} \times {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{32\pi \: = 3.14 {r}^{2} }}[/tex]
[tex] \dashrightarrow{ \sf{3.14 {r}^{2} = 32\pi}}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{3.14 {r}^{2} }{3.14} = \frac{32\pi}{3.14} }}[/tex]
[tex] \dashrightarrow{ \sf{ {r}^{2} = 10.19 \: \pi \: }}[/tex]
[tex] \dashrightarrow{ \sf{r = \sqrt{10.19\pi} }}[/tex]
[tex] \dashrightarrow{ \sf{r = 3.19\pi}}[/tex]
Finding the perimeter of a circle ( P )
[tex] \boxed{ \sf{perimeter \: of \: a \: circle = 2\pi \: r \: }}[/tex]
[tex]{\sf{ \: perimeter \: of \: a \: circle = 2 \times \frac{22}{7} \times 3.19 \: \pi}}[/tex]
[tex] \sf{perimeter \: of \: a \: circle = 20.05 \: \pi \:units }[/tex]
Hope I helped!
Best regards! :D
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Given,
The area of a circle is 32 π square units.
We need to find its perimeter.
What is the area of a circle?The area of a circle is given by:
= π r²
The perimeter of a circle is given by:
= 2πr
Where r = radius
Find the area of a circle.
Area = π r²
32 π = π r²
Divide both sides by π
32 = r²
r = ±√32
r can not be negative so we have,
r = √32
Find the perimeter of a circle.
P = 2πr
P = 2 x π x √32
P = 2√32 π units
The perimeter of the circle with an area of 32 π square units is 2√32π units.
Learn more about how to find the circumference of the circle and the area of the circle here:
https://brainly.com/question/14966973
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The ratio teachers to students at a school is 3: 74. There are 2500 students at the school. About how many teachers are at the school?
Step-by-step explanation:
3:74
x:2500
(3x2500)/74
=101
Answer:
100
Step-by-step explanation:
I’ll give brainliest pls help me:0
Answer:
68719476736
Step-by-step explanation:
(4−2)−9
=(4−2)−9
=4(−2)(−9)
=418
=68719476736
Answer:
This is pretty simple, im almost certain you just make all exponents positive.
Step-by-step explanation:
so just make it 4 to the power of 2, to the power of 9
If f(x)=3x^2+10, what is f(-7)?
Answer:
157
Step-by-step explanation:
how to factorise the difference of perfect squares. for the g on the top and j on the top
Answer:
see explanation
Step-by-step explanation:
A difference of two squares is factored as
a² - b² = (a - b)(a + b)
(g)
1 - 81y²
= 1² - (9y)²
= (1 - 9y)(1 + 9y)
(j)
64x² - 25y²
= (8x)² - (5y)²
= (8x - 5y)(8x + 5y)
F(x)=(x-2)2
X=8
Need answers ASAP
Answer:
substitute 8 into x =(8-2)2
(6)2=12
En un colegio hay 627 alumnos y sabemos que hay el doble de chicas que de chicos. De las chicas, a todas menos a 15, les gustan mucho las matemáticas. ¿Cuántas chicas disfrutan con las matemáticas en este colegio?
Answer:
Hay 403 chicas que disfrutan las matemáticas en este colegio.
Step-by-step explanation:
Podemos obtener las siguientes pistas tras una lectura cuidadosa del enunciado:
1) Existen 627 alumnos entre hombres y mujeres en el colegio.
2) La cantidad de chicas es el duplo de la cantidad de chicos.
3) Solo a 15 chicas les disgusta las matemáticas.
Matemáticamente hablando, podemos construir las siguientes tres fórmulas:
[tex]x+y = 627[/tex] (1)
[tex]y = 2\cdot x[/tex] (2)
[tex]m = y - 15[/tex] (3)
Donde:
[tex]x[/tex] - Cantidad de chicos en el colegio, adimensional.
[tex]y[/tex] - Cantidad de chicas en el colegio, adimensional.
[tex]m[/tex] - Cantidad de chicas que disfrutan de las matemáticas en el colegio, adimensional.
Al eliminarse [tex]y[/tex] en (1), se puede hallar la cantidad de chicos en el colegio:
[tex]x + 2\cdot x = 627[/tex]
[tex]3\cdot x = 627[/tex]
[tex]x = 209[/tex]
Hay 209 chicos en el colegio.
Por (2) podemos determinar la cantidad de chicas:
[tex]y = 2\cdot (209)[/tex]
[tex]y = 418[/tex]
Hay 418 chicas en el colegio.
Finalmente, se calcula la cantidad de chicas del colegio que disfrutan las matemáticas por (3):
[tex]m = 418-15[/tex]
[tex]m = 403[/tex]
Hay 403 chicas que disfrutan las matemáticas en este colegio.
Help me please I’ll give you brainliest
Answer:
B) 7 2/3, √3/2, 4/5, -2π, -6.5
Step-by-step explanation:
B) 7 2/3, √3/2, 4/5, -2π, -6.5
What is the area of the rectangle below?
10
13
Answer:
C, 130
Step-by-step explanation:
Area is just length x width, it would just be 13*10
Answer:
C) 130 sq. units
Step-by-step explanation:
it's what I got
It's a Yes or No question
Answer:
its a yes i think
Step-by-step explanation:
the value is probably
identify whether or not the following features are represents in the above diagram. for each feature that is represented write the name(s) denoted in the diagram.
Answer:
The rays represented in the diagram includes
Ray AB, NB, BN, BA
The vertex where rays NB and NA meets = N
Step-by-step explanation:
A ray is a line segment that extends endlessly from a given point. A ray is a line that has unbounded endpoint but has a start or endpoint.
A vertex is the point or corner which is the meeting point of two or more lines or rays. In the question, the meeting point of the rays NB and NA is the point N, which can be said to be the vertex of the two rays.
Help me find the slope using the points on the graph below.
Answer:
3/-4 i think
Step-by-step explanation:
one point is -2/1 and the other 2/-2
1 - -2=3
-2 -2=-4
Question 3
A sequence of numbers follows the rule: multiply the previous number by-2 and add 3. The fourth term in the sequence is -7.
a. What are the next 3 terms in the sequence? Select Choice
b. What are the 3 terms that came before-7 in the sequence? Select Choice v
Answer:
(a) The next 3 terms in the sequence are 17, -31, and 65
(b) The 3 terms that came before -7 are 2, -1, and 5
Step-by-step explanation:
a. To determine the next 3 terms in the sequence after -7,
From the question, the sequence follows the rule: multiply the previous number by-2 and add 3.
Then, for the next number after -7, we will get
-7 × -2 = 14; 14 + 3 = 17
For the second number after -7, we will get
17 × -2 = -34; -34 + 3 = -31
For the third number after -7, we will get
-31 × -2 = 62; 62 + 3 = 65
Hence, the next 3 terms are 17, -31, and 65
(b) For the 3 terms that came before -7 in the sequence, the rule will be reversed, that is: subtract 3 from the immediate number and divide by -2
Hence, the previous number to -7 (that is, the third term in the sequence)
-7 -3 = -10; -10 ÷ -2 = 5
Then, the second term will be
5 - 3 = 2; 2 ÷ -2 = -1
and the first term will be
-1 -3 = -4; -4 ÷ -2 = 2
Hence, the 3 terms that came before -7 are 2, -1, and 5
A red marble is selected at random from a bag containing 2 blues and 9 red marbles and is not replaced.the probability that a second marble selected will also be red is
Answer:
So the probability of drawing a second red marble is 8 out 10 or 0.8.
Step-by-step explanation:
It seems to me that if one red marble is already gone, there are 8 red marbles left out of a total of 10 marbles.
So the probability of drawing a second red marble is 8 out 10 or 0.8.
Answer:
8/10 or 4/5 or 0.8
Step-by-step explanation:
since one red marble is already taken, there are only eight remaining now and the total number of marbles are ten now. So you have to divide.
Therefore, the probability is 8/10 or 4/5 or 0.8.
Map of Indiana is being made to a scale of 1/2 in:20 mi. Indianapolis is 120 miles from Fort Wayne how far apart from each other will they appear on this map
The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (a) how many progressions are possible (b) what are the smallest and largest possble values of the first term?
Answer:
a) possible progressions are 5
b) the smallest and largest possible values of the first term are 16 and 82
Step-by-step explanation:
Sum of terms:
Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)2020 = 10(2a₁ + 19d)202 = 2a₁ + 19dIn order a₁ to be an integer, d must be even number, so d = 2k
202 = 2a₁ + 38k101 = a₁ + 19kPossible values of k= 1,2,3,4,5
k = 1 ⇒ a₁ = 101 - 19 = 82k = 2 ⇒ a₁ = 101 - 38 = 63k = 3 ⇒ a₁ = 101 - 57 = 44k = 4 ⇒ a₁ = 101 - 76 = 25k = 5 ⇒ a₁ = 101 - 95 = 16As per above,
a) possible progressions are 5b) the smallest and largest possible values of the first term are 16 and 82Answer:
:) not right
Step-by-step explanation:
What is the product 70 × 10^4? a 70,000 b 700,000 c 280 d 704
The correct answer is B. 700,000
Together, Chelsea and Essence have $192. If Chelsea has a third of the amount of money that Essence has, find out how much money each person has individually.
Answer:
Chelsea has $48, Essence has $144
Step-by-step explanation:
Given f(x) =
+ 2, find f(0)
Answer:
B
Step-by-step explanation:
toookt the test dude
Order of operations
(6+5) +9 =
Answer:
(6+5)+9=20
Step-by-step explanation:
How can you find the product of four polynomials
.Answer: When we find the product of any two polynomials, we just multiply each term of the first polynomial by each term of the second polynomial then simplify. When we find the product of two binomials, we can use a technique known as the FOIL method. FOIL is an acronym which stands for First, Outside, Inside and Last.
Step-by-step explanation:
7 = 3t - 3 - 2+ + 6.
Justification: ? property
Answer:
7 = 3t + 1
t = 6
....................
7 = 3t - 2t + 3
t = 4
STUGO sells hot chocolate and coffee at the high school football games.
At the last game, they had sales of $200. They need to keep track of how
many of each type of drink was sold so that they can make predictions for
future sales. Mrs. Mendoza knows that they used 275 cups that night. If
the hot chocolate sells for 75 cents and coffee sells for 50 cents, how
much of each type of drink were sold?
Answer:
Number of hot chocolate = 250
Number of coffee = 25
Step-by-step explanation:
Given:
Total income = $200 = 20,000 cents
Number of total item sell = 275
Amount of each hot chocolate = 75 cents
Amount of each coffee = 50 cents
Find:
Number of each drink sold
Computation:
Assume
Number of hot chocolate = x
Number of coffee = 275 - x
So,
Total income = [Number of hot chocolate][Amount of each hot chocolate] + [Number of coffee][Amount of each coffee]
20,000 = [x][75] + [275-x][50]
20,000 = 75x + 13,750 - 50x
x = 250
Number of hot chocolate = 250
Number of coffee = 275 - 250
Number of coffee = 25
Answer: 250 Hot chocolates 25 Coffee
Step-by-step explanation:
Use the diagram showing points P and Q. Determine which point is the remaining vertex of a triangle with an area of 4 square units. 1. R(2, 0) 2. S(-2, -1) 3. T(-1, 0) 4. U(2, -2)
Answer:
S(-2,-1)
Step-by-step explanation:
The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1). Then the correct option is B.
What is the area of the right-angle triangle?The area of the right-angle triangle is given as
A = 1/2 x B x H
Where B is the base and H is the height of the right triangle.
The distance between the points P and Q will be 4 units.
If the ordinate of the point is (a, 3) or (b, -1). Then the area of the triangle will be 4 square units.
The point is the remaining vertex of a triangle with an area of 4 square units will be S(-2, -1).
Then the correct option is B.
More about the area of the right-angle triangle link is given below.
https://brainly.com/question/16653962
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What are the perimeter and the area of the square?
80
200
400
8√5
16√5
32√5
Answer:
680
8√5=17.8
16√5=75.7
32√5=71.5
Step-by-step explanation:
Solve for X in the following proportion: 6/33 = 24/x
Answer:
132
Step-by-step explanation:
We are given the equation 6/33 = 24/x. We would like to solve for x.
To get rid of the fractions, let's multiply both sides by 33x:
(6/33) * 33x = (24/x) * 33x
6x = 24 * 33 = 792
Divide by 6 from both sides:
x = 792/6 = 132
Thus, x = 132.
~ an aesthetics lover
If you have fifty-four pieces of candy that need to be split up evenly
between you and your five friends, how much will each of you get?
"You" and your "5 friends" means that there are 6 people total.
All we need to do is divide.
54 / 6 = 9
Therefore, each person gets 9 pieces of candy.
Best of Luck!
Find AB given A(-4, 1) and B(3, -1).
Answer:
d = [tex]\sqrt{53}[/tex]
Step-by-step explanation:
Which of the diagrams below represents the statement "If it is an triangle,
then it has three vertices”?
A. Figure A
B. Figure B
Answer:
Figure A i don't know
Step-by-step explanation:
Answer:
the answer is A. Figure A
The radius of a circle is 4 inches. What is the circle's area?
p=4 in
Use 3.14 for T.
Answer:
50.27
Step-by-step explanation:
Answer:
50.24
Step-by-step explanation:
[tex]r = 4 \\ \pi = 3.14 \\ area = \pi {r}^{2} [/tex]
Input the values into the equation
[tex]3.14 \times {4}^{2} \\ = 3.14 \times 16 \\ = 50.24[/tex]