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3 years ago

PLEASE HELP MARKING BRAINLIEST

Mathematics

2 answers:

Sophie [7]3 years ago

5 0

Answer:

width = 8 cm

length = 40 cm

Step-by-step explanation:

let's take the width of the rectangle be x

length = 4x + 8

now,

perimeter = 2 × ( length + width )

=》P = 2 × ( 4x + 8 + x )

=》P = 2 × ( 5x + 8 )

=》P = 10x + 16

now, we know perimeter = 96 sq.cm

so,

=》10x + 16 = 96

=》10x = 96 - 16

=》x = 80 ÷ 10

=》x = 8

since, width = x , so width = 8 cm

length = 4x + 8 = (4 × 8) + 8

= 32 + 8 = 40 cm

Tamiku [17]3 years ago

4 0

Answer:

$its \: dimensions \: are \to \\\boxed{w = 17.6cm} \: \boxed{l = 78.4cm}$

Step-by-step explanation:

$if \to l = 4w + 8 \\ but \\ \: perimeter(p )= l + w = 96 \\ 4w + 8 + w = 96 \\ 5w + 8 = 96 \\ 5w = 96 - 8 \\ 5w = 88 \\ w = \frac{88}{8} \\ \boxed{w = 17.6cm} \boxed{l = 78.4cm}$

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5 0

2 years ago

For the given angle 0, identify the reference angle, _

ankoles [38]

Answer:

π\6

Step-by-step explanation:

The reference angle is the smallest angle measured from the terminal side of the angle (where the angle ends) to the x axis. The reference angle is an acute angle (i.e less than 90° or π/2)

For O = 11π/6 = 1.833π

1.833π is in the fourth quadrant between 3π/2 radians and 2π radians. Since it is in the fourth quadrant, the reference angle is given as:

reference angle = 2π - 11π/6 = π\6

5 0

3 years ago

220 students were asked if they liked chocolate or vanilla ice cream. 140 said they liked chocolate and 120 said they liked vani

Flura [38]

Answer: D. 40

Step-by-step explanation:

Given: Number of students liked vanilla or chocolate ice cream = $n(V\cup C)=220$

Number of students liked chocolate = $n(C)=140$

Number of students liked vanilla= $n(V)=120$

Now, Number of students liked vanilla and chocolate ice cream is given by :-

$n(V\cap C)=n(C)+n(V)-n(V\cup C)\\\\\Rightarrown(V\cap C)=140+120-220\\\\\Rightarrown(V\cap C)=260-220\\\\\Rightarrown(V\cap C)=40$

Number of students liked vanilla and chocolate ice cream= 40

6 0

3 years ago

If the ratio of a circle's sector to its total area is 1/3, what is the measure of

nalin [4]

Answer:

option A: 120°

Step-by-step explanation:

$Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta$

4 0

3 years ago

Explain why the function of f(x)=4x^2+8x is neither even or odd

myrzilka [38]

Answer:

By putting x = -x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

Step-by-step explanation:

We need to explain why the function of $f(x)=4x^2+8x$ is neither even or odd

First we will understand, when the function is even and odd

Even function:

<em>A function is even if f(-x) = f(x) </em>

Odd function:

<em>A function is odd if f(-x) = -f(x) </em>

So, if we get the above result by putting x = -x, then we can say that the function is even or odd.

If we don't get any of the above results then the function is neither even nor odd.

So, for the given function: $f(x)=4x^2+8x$

Put x = -x

$f(x)=4x^2+8x\\Put x=-x\\f(-x)=4(-x)^2+8(-x)\\f(-x)=4x^2-8x$

So, by putting x=-x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.

6 0

3 years ago

**PLEASE HELP MARKING BRAINLIEST**

PLEASE HELP MARKING BRAINLIEST