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3 years ago

A and B are two similar 2D shapes.

Mathematics

1 answer:

Daniel [21]3 years ago

8 0

Answer:

128 cm²

Step-by-step explanation:

Given 2 similar shapes with linear ratio = a : b, then

area ratio = a² : b²

Here the linear ratio = 15 : 12 = 5 : 4, thus

area ratio = 5² : 4² = 25 : 16

Then using proportion

$\frac{25}{200}$ = $\frac{16}{B}$ ( cross- multiply )

25B = 3200 ( divide both sides by 25 )

B = 128

That is the area of shape B is 128 cm²

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How do you multiply 5 time one fourth

eduard

5x .25=1.25 or 1 1/2

8 0

3 years ago

Read 2 more answers

Alright I need another one before I fail again please I have 3

Sholpan [36]

Answer:

Answer:

9.46 = y

Step-by-step explanation:

=================================================================

You have to use the cosine function equation.

cos(38) =

Multiply 12 on both sides.

12cos(38) = y

Solve.

9.46 = y

How to know which one to use:

Sin, Cos, Tan, Sec, Cosec, and Cot

Sin function is to do opposite number side length over the hypotenuse number side

Cos function is to do adjacent (side length that is next to angle) over the hypotenuse

Tan function is to do Opposite over Adjacent,

These are the inverse of each one

Sec is hypotenuse over opposite (inverse of Sin)

Cosec is hypotenuse over adjacent (Inverse of Cos)

Cot is Adjacent over Opposite (Inverse of Tan)

=================================================================

8 0

3 years ago

Sergeeva-Olga [200]

Answer: 114.37 ft

Step-by-step explanation:

If we model this situation as a right triangle, where the hypotenuse is the length of the ladder ( $110 ft$ ), the opposite leg is the height the ladder will reach $h$ , and the adjacent leg is the distance between the base of the ladder and the building ( $28 ft$ ); we have two options:

1) Using trigonometric functions, since we are given the angle $\theta=75\°$

2) Using the Pithagorean Theorem

Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:

$(hypotenuse)^{2}=(opposite-leg)^{2}+(adjacent-leg)^{2}$

$(110 ft)^{2}=(h)^{2}+(28 ft)^{2}$

Isolating $h$ :

$h=\sqrt{(110 ft)^{2}-(28 ft)^{2}}$

$h=106.37 ft$

Adding to this height the extra height of $8 ft$ (since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):