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3 years ago

Quick answers please!

Mathematics

1 answer:

MakcuM [25]3 years ago

7 0

Answer:

27.44

Step-by-step explanation:

area of the half sircle = 12.56

area of the rectangle = 40

area of the shaded protion = 40 -12.56

=27.44 square yards

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The sum of two numbers is 27. One of the numbers is three more than the other. Find the numbers,

bonufazy [111]

Answer:

12 and 15

Step-by-step explanation:

x + y = 27

x +3 = y

x = y - 3

y - 3 + y = 27

2y = 24

y = 12

7 0

2 years ago

Xin graphs the equation y =4x - 6.

Art [367]

Answer:

Both D and E are true statements.

Step-by-step explanation:

When you have the base form of slope-intercept form:

y = mx + b

The m (which is the coefficient of x) is the slope of the line. In this case that would be 4.

The b is the intercept. In this case it would be -6

8 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

A wave has frequency of 10 Hz and a speed of 30 m/s. What is the wavelength of the<br>wave?

ladessa [460]

Answer:

Step-by-step explanation:

Wavelength is usually denoted as letter lambda (λ); it is equal to the speed (v) of a wave train in a medium divided by its frequency (f): λ = v/f. Waves of different wavelengths.

formula: λ = v/f

solution: λ= 30m/s / 10Hz

= 3

8 0

3 years ago

The Spanish version of Michelle Obama's book,

Nina [5.8K]

359 is the correct answer for the English one I think

4 0

2 years ago

Quick answers please!​

Quick answers please!