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2 years ago

(Help asap) What is the area of the composite figure?

Mathematics

2 answers:

Arte-miy333 [17]2 years ago

4 0

Answer:

111m²

Step-by-step explanation:

area = (12*3) + (15*3) +´(5*6)

= 36 + 45 + 30

= 111m²

Andrews [41]2 years ago

4 0

Answer: 111 m²

Ok done. Thank to me :>

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

7 0

3 years ago

A square with side lengths of 3 cm is reflected vertically over a horizontal line of reflection that is 2 cm below the bottom ed

oksian1 [2.3K]

Answer:

a) 4 cm

b) 5 cm

c) 10 cm

Step-by-step explanation:

The side lengths of the reflected square are equal to the original, and the distance from the axis(2) also remains the same. From there, it is just addition.

Hope it helps <3

5 0

2 years ago

7.003 x 10 to the power of 4

pishuonlain [190]

In scientific notation, just move the decimal point over however many numbers are in the power.

In 7.003 • 10^4, move the decimal point over 4 places to the right, (or left if it's negative) making it 70,030

4 0

3 years ago

Read 2 more answers

Hurry please!!! Fast response

AlladinOne [14]

Answer:

$SA= \frac{2}{3} \pi rl+16 \pi r^2$