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astra-53 [7]
2 years ago
7

Find the area of the figure in the image attached. Round to the nearest tenth if necessary.

Mathematics
2 answers:
ella [17]2 years ago
5 0
19.8m²

Work:
First you split the shape into a rectangle and a triangle. So now you have a triangle with the sides 4 x 3.6 and a triangle with the sides 4 x 2.7.

Side note: 2.7 comes from subtracting 3.6 off of 6.3.

Rectangle:
A = lw
A = 4 (3.6)
A = 14.4m²

Triangle:
A = 1/2lw
A = 1/2 (4) (2.7)
A = 5.4m²

Then you add the areas of both the rectangle and the triangle together.

14.4 + 5.4 = 19.8m²
Naddik [55]2 years ago
5 0
The area is 19.8m^2…………………..
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3 years ago
Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-d
SashulF [63]

Answer:

The age of pluto is:

5,560,000,000 years old = 5.56 × 10⁹ years old

x = 5.56

y = power of 9

Step-by-step explanation:

Pluto is 5,560,000,000 years old. Estimate the age of Pluto by writing it in the form of x×10y years, where x and y are single-digit numbers.

We write this in standard form or scientific notation.

5,560,000,000 years old = 5.56 × 10⁹ years old

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4 0
3 years ago
If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2
IgorLugansk [536]

Answer: 10

Step-by-step explanation:

Since integral from 1 to 4 of f(x) =10

To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method

Let U = 2x, dU = 2dx, dx = dU/2

Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

Since this limit are the same as the limit for the question,

Therefore, F(4) - F(1) = F(8) - F(2) = 10

Substituting dx=dU/2

Gives,

Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10

6 0
3 years ago
Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12
vazorg [7]

Answer:

\frac{1}{3}  +  \frac{1}{4}

Step-by-step explanation:

We want to find an expression that has a value of

\frac{7}{12}

First option:

\frac{7}{8}  + 4 =  \frac{7}{8}  +  \frac{32}{8}  =  \frac{39}{8}  \ne \frac{7}{12}

Second option:

\frac{1}{3}  +  \frac{1}{4}  =  \frac{4}{12}  +  \frac{3}{12}  =  \frac{7}{12}

Correct option

Third option

\frac{6}{8}  +  \frac{1}{4}  =  \frac{3}{4}  +  \frac{1}{4}  = 1

Fourth option:

2 \frac{1}{12}  + 5 \frac{1}{12}  =  \frac{43}{6}

5 0
3 years ago
How do you solve y= -3+3​
Ilia_Sergeevich [38]
Answer=

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