Step-by-step explanation:
It is known that area of a circular is calculated as follows.
[tex]Area = \pi \times r^{2}[/tex]
So, when a circular field of area of approximately 500 [tex]m^{2}[/tex] is there then diameter of the field is calculated using the measuring tape from one side of the circular tape to the other. Now, to calculate the radius it is required to divide the diameter by 2.
Hence, put these values into the above formula to find out the area. In this way we can find out the area of given circular field accurately by using a measuring tape.
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?
m∠X + m∠Z < 90°
m∠Y > 90°
∠X and∠Y are complementary
m∠X + m∠Y < 90°
Answer:
angle X + angle Y < 90°
Step-by-step explanation:
sum of angles of triangle is 180 ° ,
Answer:
because mZ > mX + mY
[tex] = > 18 0 - (mx + my) > mx + my \\ < = > 2(mx + my) < 180 \\ < = > mx + my < 90[/tex]
If the area of a rectangular prism is represented by the volume -5x^5 - 1 and the height is 5x + 5, what is the area of the base in terms of x?
Answer:
= -5[tex]x^{4}[/tex] - 1/5
0r
-5[tex]x^{4}[/tex] - 0.2
Step-by-step explanation:
Volume of a rectangular prism = area of base x height
-5[tex]x^{5}[/tex] - 1 = 5x + 5 x area of the base
to determine the area of the base, divide both sides of the equation by (5x + 5)
area of the base = (-5[tex]x^{5}[/tex] - 1) / (5x + 5)
= -5[tex]x^{4}[/tex] - 1/5
0r
-5[tex]x^{4}[/tex] - 0.2
Find the surface area of a water tower that is 40 feet tall and 20 feet across the base.
______ square feet
Answer:
the surface area is 3140 square feet
Step-by-step explanation:
The computation of the surface area is given below:
Given that
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Surface area =
= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 square feet
hence, the surface area is 3140 square feet
The surface area is 3140 feet².
What is Surface Area?Surface area is the amount of space covering the outside of a three-dimensional shape.
Given that:
Diameter = 20 feet
radius = 20 ÷ 2 = 10 feet
Now, Surface area will be,
=2πr²+ 2πrh
= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40
= 6.28 × 100 + 6.28 × 400
= 628 + 25.12 × 100
= 628+ 2512
= 3140 feet²
hence, the surface area is 3140 feet².
Learn more Surface Area here:
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help plss i don't get it can yall plz help
Answer: 24, b
Step-by-step explanation:
So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.
Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.
So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.
Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.
Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.
The function h(t) = -16t^2 + h, 0 gives the height (in feet) of a ball dropped from a height of h, 0 after t seconds. A ball is dropped from a height of 12 feet. After how many seconds does the ball hit the floor?
could someone explain how to solve the equation? I know it's h(t) = -16^2 + 12
Answer:
Step-by-step explanation
the answee
Which region represents the solution to the given system of inequalities?
{y < -1/2x }
[y ≥ 2x+3 }
A
B
C
D
The region D represents the solution of the given system of inequalities.
What is the system of linear inequalities?
A system of linear inequalities is a collection of linear inequalities in the same variables.
How to shade the graph of inequalities?Rearrange the equations so "y" is on the left and everything else on the right. Plot the "y≤ ,y≥ ,y> or y< " line.Shade above the line for a " greater then" and below for the "less than".According to the given equation.
We have system of inequalities.
[tex]y < \frac{-1}{2}x[/tex]
and [tex]y \geq 2x + 3[/tex]
Also, the graph of the inequalities.
Since, y is less than [tex]-\frac{1}{2} x[/tex] shade below the line.
And, for the second inequality.
y is greater than and equal to 2x + 3 therefore, shade the above the line.
So, the common region D we get after the shading.
Hence, region D represents the solution of the given system of inequalities.
Find out more information about system of inequalities:
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Gabriela swam 84 lengths of the pool in 1 hour. Which table correctly shows equivalent ratios for this situation?
very easy my friendStep-by-step explanation:
Solve the system of equations:
(1) x - y = 3
(2) 7x - y = -3
Answer:
x= 70
and y = 67 then
-70-67 =-3
Answer:
x=-1 y=-4
Step-by-step explanation:
answer is in the photo above
find the slope of the line represented by the data below
slope=
QUËSTIONS:- find the slope of the line represented by the data
ANSWER:-
[tex]SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2} [/tex]
[tex]SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans[/tex]
Answer:
-3
Step-by-step explanation:
Slope(m)=-6/2
=-3/1
=-3
Hope this helps!
Linda is building steps for her porch. What is the volume of the first step?
Answer quick please!
Answer:
ok to do this we multiple 60 times 60 to get 3600
now we multiple this by 120
432000
now we divide this by 4
108000
so the volume of the first step is 108000 cm cubed
Use the following to write and solve a proportion to find the values of X, Y and Z.
Answer:
x = 48-32 = 16
y = 32/16 × 10 = 20
z = 48/32 × 26 = 39
asap plz give answer
Answer:
B) Rotation
Step-by-step explanation:
The arrows at the end of each line imply a line, not a line segment. Since the they both pass through the origin, they rotate about the origin, hence B) Rotation.
Answer:
A I'm about 89% certain that's a vertical translation
A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of x
Answer:
16 degrees
Step-by-step explanation:
62= 46+x
16=x
simplify
x - ( - 6 x )
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
Factorize 24x3y2 – 12x2y ASAP
Answer:
12x²y(2xy - 1)
Step-by-step explanation:
Given
24x³y² - 12x²y ← factor out 12x²y from each term
= 12x²y(2xy - 1)
5x+y=1
10x-6=34
pleasee
Answer:
=>x=4
therefore y= -19
Answer:
x = 4, y = - 19
Step-by-step explanation:
Given the 2 equations
5x + y = 1 → (1)
10x - 6 = 34 → (2) , which can be solved as
10x = 40 ( divide both sides by 10 )
x = 4
Substitute x = 4 into (1) and solve for y
5(4) + y = 1
20 + y = 1 ( subtract 20 from both sides )
y = - 19
Use the explicit formula an = a1 + (n-1)•d to find the 500th term of the sequence below.
24, 31, 38, 45, 52, ...
Step-by-step explanation:
the answer is in the image above
Answer:
a₅₀₀ = 3517
Step-by-step explanation:
a₁ represents the first term and d the common difference
Here a₁ = 24 and d = 31 - 24 = 7 , then
a₅₀₀ = 24 + (499 × 7) = 24 + 3493 = 3517
Jasmine used the number line to find the distance between 0 and 5. What was Jasmine’s error? Jasmine should have counted from 5 to 0. Jasmine started with the wrong integer. Jasmine gave a negative answer for distance. Jasmine ended with the wrong integer.
Answer:
The answer is "Option C".
Step-by-step explanation:
In this question, the distance value is -5 that's why option c is correct.
Answer:
C. Jasmine gave a negative answer for distance.
2/3 of a class are girls.
a) What is the ratio girls to boys in the class?
b) What is the ratio boys to girls in the class?
The area of a rectangle is represented by the function A = n^3 - 6n^2 - 8n + 48.
What is the perimeter of the rectangle? Describe how you found your answer.
Answer:
P = 2(n - 6) + 2(n^2 - 8)
Step-by-step explanation:
Remembering that Area = Length times Width, we factor the given function
A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:
A = n^3 - 6n^2 - 8n + 48 factors as follows:
A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)
We can label '(n - 6)' "width" and '(n^2 - 8'
length.
Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:
P = 2(n - 6) + 2(n^2 - 8)
Which of the following is the line of symmetry for the figure shown below?
B.
A. Line A
O
B. Line B
C. Line C
O D. This figure is not symmetrical.
Answer:
Line A
Step-by-step explanation:
A line of symmetry is a line that divides a shape into exactly two equal halves.
A triangle is a polygon with three sides and three angles. A scalene triangle has no lines of symmetry, an isosceles triangle has more than one line of symmetry while an equilateral triangle has three lines of symmetry.
From the diagram we can see that line A divides the figure into two equal halves, hence line A is the line of symmetry.
Find the equation of the line passing
through the points (2, 4) and (3,2).
Answer:
y=-2x+8
Step-by-step explanation:
first is to find the slope
m=(y2-y1) /(x2-x1)= (2-4)/(3-2)=-2/1= -2
now using the line formula of y=m*x+b, put in one of the points and solve for b.
2= -2*3 + b
2= -6 + b
8 = b
so y= -2*x+8
Can anyone solve this for me pls
Answer: I'm pretty sure the answer is 78.90
Step-by-step explanation:
Can you guys help me pleaseeeee!
Answer: A) True
Step-by-step explanation:
GF and KJ are marked with one dash indicating the are congruent. Same for FH and JL but this time it's marked with 2 dashes. Angles F and J are congruent because they are both right angles. So, we have a side congruent an angle congruent and a side congruent. We can use SAS to say they are congruent.
(Brainliest?)
Sam's Sweet Shoppe sells candy in bags of 30 pounds and bags of 50 pounds. Last week, Richard bought 300 pounds of candy for a birthday party from Sam's Sweet Shoppe. If at least one 30 pound bag of candy and at least one 50 pound bag of candy were purchased, what is the number of the 30 pound bags purchased?
Answer:
5
Step-by-step explanation:
30 x 5=150
then you buy 3, 50 pound bags: 3 x 50= 150
150+150=300
Answer:
5
Step-by-step explanation:
five is the only number(less then 10) that you can multiply by 30 to get a multiple of five
30x5=150
then you buy 3, 50 pound bags: 3x50= 150
150+150=300
An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.
Answer:
Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.
so 96/120
48/60
24/30
12/15
so the answer is 12/15
Can someone help me with this?
Answer:
19.53
Step-by-step explanation:
First let's find the new price of the backpack:
40% of 29.99 is
29.99 * 0.40 = 11.99
So the new price of the backpack is
29.99 - 11.99 = 18.00
Now let's find the price with tax
8.5% of 18.00 is
18.00 * 0.085 = 1.53
So the cost of the backpack is
18.00 + 1.53 = $19.53
Answer:
$19.52
Step-by-step explanation:
29.99 x 0.60 = 17.994, (60% of 29.99)
1.085 x 17.994 = 19.52349 = $19.52 (2dp) , - (Add 8.5% Tax)
Saint Xavier school is the national swimming
champion. There are many students. The meet
results for the students is shown below. What is the
highest % of silver medal winners from the two
groups?
- 600 boys won a silver medal out of the 1500 boys.
- 750 girls won a silver medal out of the 1400 girls.
Hi there!
»»————- ★ ————-««
I believe your answer is:
The Group Of Girls.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the boys' percentage...}}\\\\\rightarrow \frac{600}{1500}\\\\\rightarrow 0.4\\\\\rightarrow 0.4 * 100\\\\\rightarrow \boxed{40\%}\\------------\\\boxed{\text{Calculating the girls' percentage...}}\\\\\rightarrow\frac{750}{1400}\\\\\rightarrow 0.53571428571...\\\\\rightarrow 0.53571428571... * 100\\\\\rightarrow \boxed{53.57\%}\\------------\\\\53.57\% > 40\%[/tex]
⸻⸻⸻⸻
The girls should have a higher percentage from the two.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The ratio of teachers to students at Happy Hill School is 2:29 , which means that for every 2 teachers there are students. There are 7 doctors and 27 nurses at Happy Hill Hospital. The ratio of doctors to nurses is, therefore, 7 7:_.
Does someone know what the answer is? Please, help.
Answer:
III
Step-by-step explanation:
you got this, man! good luck [: