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3 years ago

The shape shown consists of three sides of a rectangle together with a semicircle. Which of the following is

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

Answer:

The perimeter of the figure is 32.5 ⇒ (4)

Step-by-step explanation:

Let us solve the question

From the given figure

∵ The perimeter of the figure is the sum of the 3 sides of the rectangle

and the length of the circumference of the semicircle

∴ P = W + L + W + $\frac{1}{2}$ C, where W is the width, L is the length, and C is the

circumference of the circle

∵ W = 3.4 and L = 10

∵ C = π d, d is the diameter of the

∵ The diameter of the circle equal to the length of the rectangle

∴ d = L = 10

∴ C = π(10) = 10π

→ Substitute the values of W, L, and C in the rule of the perimeter above

∵ P = 3.4 + 10 + 3.4 + $\frac{1}{2}$ (10π)

→ Use π = 3.14

∴ P = 3.4 + 10 +3.4 + 15.7

∴ P = 32.5

∴ The perimeter of the figure is 32.5

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Help me on this please!

sertanlavr [38]

Answer:

B-a population growth of 3% each year

Step-by-step explanation:

The 1.03 would mean that the exponential function is increasing by 3% every year because it is 0.03 units above 1.

6 0

2 years ago

3. What are the roots of the polynomial y = x³ - 8?

zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

Cube root of x^3 is x.

Cube root of 8 is 2

a=x

b= 2.

$(x - 2)( {x}^{2} - 2x + 4)$

Set these equations equal to zero

$x - 2 = 0$

$x = 2$

${x}^{2} - 2x + 4 = 0$

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

$1 + i \sqrt{ 3 }$

and

$1 - i \sqrt{3}$

4 0

2 years ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>