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2 years ago

What’s the correct answer for this question?

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

3 0

Answer:

Arc EF = 11.30

Step-by-step explanation:

For Circle A

S = r∅

18.08=(8)∅

Where ∅ is the angle subtended by the Arc

∅ = 18.08/8

∅ = 2.26 (in radians)

Now

For Circle C

S = r∅

S = (5)(2.26)

S = 11.30

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Sam the scout is going on a camp out with his boy-scout troop. There are large tents that sleep 6 boys and small tents that slee

natita [175]

Answer:

There are 96 large tents and 60 small tents

Step-by-step explanation:

Here, we want to calculate the number of tents of each sizes there

Let the number of 6-boys tent be s and the number of 4-boys tent be f

6s + 4f = 816 ••••••(i)

Ratio of large to small ( ratio of s to f)

8:5 = s/f

8/5 = s/f

8f = 5s

f = 5s/8 ••••(ii)

Substitute ii into i

6s + 4(5s/8) = 816

6s + 5s/2 = 816

Multiply through by 2

12s + 5s = 1,632

17s = 1632

s = 1632/17

s = 96

f = 5s/8

f = (5 * 96)/8 = 60

5 0

1 year ago

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x

N76 [4]

The following equation represents the function g in function notation,

g(x) = 3x - 14 [Option (A)]

Definition of a Function

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.

Given equation is,

y -3x = -14

⇒ y = -14 + 3x

or y = 3x - 14

Here, y stands for or represents the function g(x) which is a function of independent variable x.

Thus, the correct function notation is as follows,

g(x) = 3x - 14

Learn more about a function here:

brainly.com/question/12431044

#SPJ1

6 0

1 year ago

To find the area of a triangle, you can use the expression b × h ÷ 2, where b is the base of the triangle and h is its height. W

rosijanka [135]

Answer:

Step-by-step explanation:

first multiply 6 and 4.

then divide by 2.

8 0

2 years ago

Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

7 0

2 years ago

Which statement about the equation y = 5x – 8 is correct?

lbvjy [14]

9514 1404 393

Answer:

A. The equation represents a linear function because the equation is in the form y = mx + b

Step-by-step explanation:

A linear function does not have to be in the form y = mx + b, but if a function is in that form, it is a linear function.

choice A is appropriate

A function may have two variables, x and y, and not be a linear function. For example, y = x² is not a linear function. The fact that it has two variables is not what makes it linear.

7 0

2 years ago

Read 2 more answers