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Option A

A large naturally occurring community of flora and fauna occupying a major habitat, e.g. forest or tundra. A biome is a large area characterized by its vegetation, soil, climate, and wildlife.

The value of x in the intersecting chords LM and LK is determined as 10.

option A.

The value of x is calculated by applying intersecting chord theorem, which states that if two chords AB and CD in a circle intersect at a point P, then the product of the lengths of the segments of each chord is equal.

In other words, AP x PB = CP x PD.

From the diagram, we will have the following equation;

|JL| x |JM| = |LK| x |LK|

5 x (15 + 5) = (x)(x)

5 (20) = x²

100 = x²

x = √ 100

x = 10

Thus, the length of segment LK is determined as 10.

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Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

(4k+5)+ (6k+10) = 115

Exterior angle of a triangle is equal to the sum of two opposite interior angles

10k=15=115

10k= 100

k = 100/10

k = 10

Step-by-step explanation:

Answer:

k = 10

Step-by-step explanation:

The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.

We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.

To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.

Answer:

23

Step-by-step explanation:

Answer:

1st Step = add -10 to both sides. 2nd Step = divide both sides by -2.

Step-by-step explanation:

10-2x = 18

-10       -10

-2x = 8

   -2

x = -4

Answer:

------------------------------

Full surface area is the sum of areas of 4 triangles and the square base:

Find the height h of the pyramid, using slant height and the side of the base and Pythagorean:

Find the volume:

Step-by-step explanation:

7x − 3 = 25

Add 3 to both sides.

7x = 28

Divide both sides by 7.

x = 4

Answer:

I think is add 3 from both sides

Step-by-step explanation:

7x-3=25

25+3=28

7x=28

x=4

Answer:

Step-by-step explanation:

Given the equation, 2x- y = 5, if x = 3, to get y we will simply substitute the value of x into the expression given as shown;

\(2x - y = 5\\\\Substituting \ x = 3\ into \ the \ equation\\\\2(3) - y = 5\\\\6 - y = 5\\\\subtracting\ 6\ from\ both\ sides\\\\6-6-y = 5- 6\\\\-y = -1\\\\multiplying\ both\ sides\ by \ -1\\-(-y) = -(-1)\\\\y = 1\)

Hence, the value of y is 1

Step-by-step explanation:

-1728 y'all i do by using calculator and it is correct

Answer:

its -1728

Step-by-step explanation:

i worked it out right.

Answer:

11.5

Step-by-step explanation:

\(6\left(\frac{1}{2}+\frac{2}{3}+\frac{3}{4} \right) \\ \\ =6(1/2)+6(2/3)+6(3/4) \\ \\ =3+4+4.5 \\ \\ =11.5\)

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer:

y = x - 3

Step-by-step explanation:

Slope = Rise / run

Slope = 4/4 = 1

y-intercept = -3

y = x - 3

The required equivalent ratio of the given ratio is 3/5.

Given that,
The ratio that is equivalent to 9 to 15 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Mentioned ration,
= 9 / 15
Reducing the expression by eliminating the common factors
= 3 / 5

Thus, the required equivalent ratio of the given ratio is 3/5.

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Answer:

A = 1547.52

Step-by-step explanation:

Area of Circle Formula: A = πr²

Simply find r and plug it in:

d = 44.4

r = d/2 = 44.4/2 = 22.2

A = π(22.2)²

A = 1547.52

Answer:

A

C

D

Step-by-step explanation:

I copied some smart kid

Answer:

Draw a double bar graph for the given information.

Class 5th 6th 7th 8th 9th

No. of Boys 20 40 25 35 20

No. of Girls 30 35 20 25 40

I hope it is helpful...

Answer: let me explain!

Step-by-step explanation: So this might seem really confusing at first, but it’s actually suuuuuuper easy :P

So, if you think about it, every five seconds the amount of peanuts…well I don’t know how to explain it but let me show you this with numbers.
(4x2)x2x2x2 and so on. The number multiplies by two every five seconds from there. So figure out how many groups of five second there are in 100 seconds by dividing!

It’s 20!

So since 5 happens 20 times, and every time 5 happens, 2 happens, 2 also happens 20 times! (If that makes any sense)

So that answer would be 8x*twenty twos*

Which is…*drumroll please*

8,388,608
I even double checked!

And for the briefcase skeleton thing

She needs to try it 25 times because there are 5 books and each book can be switched with the other 4 times if the first one doesn’t work, therefore you need to multiply and the equation would be 5^2, or in other words, 25.
Don’t forget ur units!

Hope this helps :P

Answer:

2 pizzas

Step-by-step explanation:

2/5 of 5 is easy since there are 5

so 2 out of 5 is 2

Answer:

2 pizzas

Step-by-step explanation:

If there were 5 pizzas to begin with and only 2 out of that 5 were eaten, then that means they ate 2

0 0 0 0 0 pizzas started with

_  _           pizzas ate

0 0 0           pizzas left with

So if there were 3 pizzas left with, then you can subtract 3 from 5 to see how many are gone or eaten.

Hope this Helps!!!

Answer:

x = 6.24

Step-by-step explanation:

x =

Tan32° = OPP/ADJ

Tan32° = x/10

0.624 = x/10

cross-multiply

x = 6.24