All categories

2 years ago

What is the ratio of the area of the triangle to the area of the rectangle?

Mathematics

1 answer:

Rashid [163]2 years ago

3 0

the ratio of the area of the triangle to the area of the rectangle is 1: 2

<h3>How to determine the parameters</h3>

The formula for calculating the area of a triangle is;

Area of triangle = 1/ 2 base × height

The formula for area of a rectangle is;

Area of a rectangle = length × width

From the information given, we have;

width = 11mm
base = 11mm
height = 4mm

length = 4mm

Now, let's substitute the values;

Area of a triangle = 1/ 2 × 11 × 4

Area of a triangle = 44/ 2 = 22m²

Area of a rectangle = 11 × 4

Area of a rectangle = 44m²

The ratio of the area of the triangle to the area of the rectangle is

= 22: 44

= 1 : 2

Thus, the ratio of the area of the triangle to the area of the rectangle is 1: 2

Learn more about area here:

brainly.com/question/25292087

#SPJ1

You might be interested in

Help me please explain

Vera_Pavlovna [14]

Answer:

x=6,-4

Step-by-step explanation:

Ok so we know the 2 angles are congruent so you need to set them equal to each other. x^2+5x=7x+24. Then get the x's together so you subtract by 7x to get x^2-2x=24. You would then get 24 on the other side so subtract by 24 to get x^2-2x-24. You then would need to factor the equation out. The factored form would be (x-6)(x+4). Then set it equal to 0 to get 6 and -4.

7 0

3 years ago

A bag contain 3 black balls and 2 white balls.

Troyanec [42]

Answer:

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

$Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\$

$Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}$

Probability of at least one black( means BB or BW or WB)

$=\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}$

Probability of at most one black ( means WW or WB or BW)

$=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}$

a) Probability both black without replacement

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

b) Probability of one black and one white

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

c) Probability of at least one black ( BB or BW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}$

d) Probability of at most one black ( BW or WW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}$

6 0

3 years ago

Jackson made 36 calls in 2.25 hours. How many calls per hour did he make?

natka813 [3]

Answer:

16 calls

Step-by-step explanation:

make an equation based off this ratio -- 36 calls: 2.25 hours and x calls: 1 hour

36/2.25 = x/1

cross multiply to get 36=2.25x

divided by 2.25 on both sides

x=16

6 0

3 years ago

What’s a perfect cube <br> M

Elden [556K]

Ice cube.........................

7 0

3 years ago

Solve for X showing every step

Rashid [163]

Answer:

x = 1

Step-by-step explanation:

3(x + 6) -5 = 16

You want to first add the 5 (*flipping the sign) over to the 16

making your equation ...

3(x +6) = 21

Then you want to distribute the 3 to x and 6

making you equation

3x + 18 = 21

Then you want to subtract the 18 (*flipping the sign) to the right side

making the equation....

3x = 3

Lastly, divide the 3 on the left to the 3 on the right making the answer 1

x = 1

8 0

3 years ago