All categories

1 year ago

Find the area of the figure.

Mathematics

1 answer:

Nady [450]1 year ago

4 0

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

Big square

⋅

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

⋅

816

The area enclosed is the area of the big square minus the area of the little square.

3360

−

816

2544

So the area enclosed is

2544

Step-by-step explanation:

You might be interested in

Find the values of x and y?

lakkis [162]

Answer:x=20 y=70

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Jason baked 7 pans of brownies. He gave 1/4 of the brownies to his two sisters. How many pans of brownies did he give to his sis

Marysya12 [62]

Um i think it's 1.75

4 0

2 years ago

Read 2 more answers

Graph the data in the table. Which kind of function best models the data? Write an equation to model the data. quadratic; y = 2.

Oksanka [162]

Answer:

Option (1)

Step-by-step explanation:

x -2 -1 0 1 2

y 10 2.5 0 2.5 3.0

Ist difference,

$d_1=y_2-y_1$

$=2.5-10=-7.5$

$d_2=y_3-y_2$

$=0-2.5$

= -2.5

$d_3=y_4-y_3$

$=2.5-0$

= 2.5

$d_4=y_5-y_4$

$=10.0-2.5$

= 7.5

2nd difference,

$x_1=d_2-d_1$

$=-2.5+7.5$

= 5

$x_2=d_3-d_2$

$=2.5+2.5$

= 5

$x_3=d_4-d_3$

$=7.5-2.5$

= 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

8 0

2 years ago

Find the slope and y-intercept of -x + 2y = 3. I need help on working this problem out

natita [175]

Answer:

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$

Step-by-step explanation:

A first order function has the following format:

$y = ax + b$

In which a is the slope and b is the y-intercept, that is, the value of y when x = 0.

We have the following equation:

$-x + 2y = 3$

We just have to rewrite this equation

$2y = x + 3$

$y = \frac{x+3}{2}$

$y = \frac{x}{2} + \frac{3}{2}$

Which means that

$a = \frac{1}{2}, b = \frac{3}{2}$

So the slope of this function is $\frac{1}{2}$ and the y-intercept is $\frac{3}{2}$

6 0

2 years ago

Which of the following could be the ratio of the length of the longer leg of a 30-60-90 to the length of its hypotenuse? CHECK A

8_murik_8 [283]

Answer:

A. √3 : 2

D. 3√3 : 6

Step-by-step explanation:

In a triangle described as 30°-60°-90° triangle, the base angles are 90° and 60°

The side with angles 90° and 60° is the shortest leg and can be represented by 1 unit

The hypotenuse side is assigned a value twice the shorter leg value, which is 2 units

From Pythagorean relationship; the square of the hypotenuse side subtract the square of the shorter leg gives the square of the longer side

This is to say if;

The given the shorter leg = 1 unit

The hypotenuse is twice the shorter leg= 2 units

The longer leg is square-root of the difference between the square of the hypotenuse and that of the shorter leg

$=2^2-1^2\\\\=4-1=3\\\\\\b^2=3\\\\\\b=\sqrt{3}$

where the longer leg is represented by side b in the Pythagorean theorem, the hypotenuse by c and the shorter leg by a to make;

$a^2+b^2=c^2$

<u>Hence the summary is</u>

a=shorter leg= 1 unit

b=longer leg = √3 units

c=hypotenuse=2 units

The ratio of longer leg to its hypotenuse is

=√3:2⇒ answer option A

This is the same as 3√3:6 ⇒answer option D because you can divide both sides of the ratio expression by 3 and get option A

$=3\sqrt{3} :6\\\\\\\frac{3\sqrt{3} }{3} :\frac{6}{3} \\\\\\=\sqrt{3} :2$

Answers are :option A and D

4 0

2 years ago