All categories

2 years ago

There are three squares inside the triangle . Find the area of the third triangle with steps , please

Mathematics

1 answer:

pogonyaev2 years ago

6 0

Answer: 49 cm^2

Step-by-step explanation:

The length of the small pink square box will be:

L^2 = 9

L = sqrt( 9 )

L = 3

The length of the big pink square box will be:

L^2 = 16

L = sqrt( 16 )

L = 4

The length of the yellow square box will be:

4 + 3 = 7

The area of the third square box will be

A = 7^2

A = 49 cm^2

You might be interested in

The sum of the measures of the interior angles of a convex polygon is 1080° Classify the polygon by the number of sides

lozanna [386]

Answer:

(n-2)×180=1080

180n -360=1080

180n = 1080+360

180n =1440

dividing by 180

n=8

hence it is a regular polygon with 8 sides .I.e it is an octagon

Step-by-step explanation:

we are given the total interior angles in the polygon and we know that the formula to find the total interior angles of a polygon is (n-2) ×180

where n is the number of sides

6 0

3 years ago

Read 2 more answers

The equation g(x) = f(x + 2) is graphed on a coordinate plane. Which equation, h(x), results from moving g(x) to the right 2 uni

Archy [21]

Answer: D

Step-by-step explanation:

5 0

2 years ago

John owns a hot dog stand. He has found that his profit is represented by the equation p(x)=-x^2+62x+77, with p being profits an

dedylja [7]

Using a graphing calculator you can find that the maximum is 1038, so the profit starts to decline at the t value for 1038, which is 31

4 0

2 years ago

Read 2 more answers

Given the equation 3x - 4y = 8, which equation below would cause a consistent-dependent system?

Len [333]

3x - 4y = 8

y = mx + b ; m is the slope ; b is the y-intercept

-4y = -3x + 8
y = -3x/-4 + 8/-4
y = 3/4 x - 2

Need to check if the given choices have the same slope.

3x + 4y = -8
4y = -3x - 8
y = -3/4 x - 8/4 = -3/4 x - 2

6x - 8y = 12
-8y = -6x + 12
y = -6/-8 x + 12/-8
y = 3/4 x - 1 1/2

9x - 12y = 24 This equation would cause a consistent-dependent system
-12y = -9x + 24
y = -9/-12 x + 24/-12
y = 3/4 x - 2

16x + 12y = -10
12y = -16x - 10
y = -16/12 x - 10/12
y = -1 1/3 x - 5/6

4 0

2 years ago

Read 2 more answers

Write an equation in standard form of the line that contains the point (-1,2) amd is perpendicular to y = 3x - 1

Strike441 [17]

Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is $-\frac{1}{3} x$

So now we have,
$y=- \frac{1}{3} x+b$

To find b, we use the point that the line passes through and substitute it to the y and x values.

$2=- \frac{1}{3} (-1)+b$

which would give us b=5/3

Therefore, the equation of the line is
$y=- \frac{1}{3} x+ \frac{5}{3}$

7 0

2 years ago