All categories

3 years ago

The following is a composite figure. Find the TOTAL AREA of

Mathematics

1 answer:

vampirchik [111]3 years ago

3 0

128 inches
for area , you multiply length times height so it’d be 16 x 8 :)

You might be interested in

Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$

3 0

2 years ago

A portion of the graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?

Naily [24]

Answer:

$(x,-x^2-2x+8)$ where −5 ≤ x ≤ 3

Step-by-step explanation:

The given function is $f(x)=-x^2-2x+8$ .

We want to select the option that describes all the solutions to the parabola.

The domain of the parabola is −5 ≤ x ≤ 3.

This means that any x=a on −5 ≤ x ≤ 3 that satisfies (a,f(a)), is a solution.

This can be rewritten as $(a,-a^2-2a+8)$

Therefore for x belonging to −5 ≤ x ≤ 3, all solutions are given by:

$(x,-x^2-2x+8)$ where −5 ≤ x ≤ 3.

7 0

3 years ago

At barlow school 4/9 of the 873 students are boys at willow school 2/3 of the 630 students are girls which school has the greate

marishachu [46]

Answer:

There are 178 more boys in Barlow school as compared to Willow school.

Step-by-step explanation:

We are given the following in the question:

Barlow school:

Total number of students = 873

Number of boys =

$=\dfrac{4}{9}\times 873 = 388$

Willow school:

Total number of students = 630

Number of girls =

$=\dfrac{2}{3}\times 630 = 420$

Number of boys =

Total number of students - total number of girls

$=630-420 = 210$

Thus, Barlow school has greater number of boys than Willow school.

Difference between the number of boys =

$=388-210\\=178$

Thus, there are 178 more boys in Barlow school as compared to Willow school.

7 0

3 years ago

Consider all numbers consisting of four different digits all between 1 and 9 . How many of these are odd

Slav-nsk [51]

Answer:

1680

Step-by-step explanation:

Considering repeatition is not allowed.

We can use permutation to reach to the required answer.

Consider four digits to be placed in four boxes. Now for the number to be odd, unit digit must be odd. Therefore, unit digit can only be filled by 1, 3, 5,7, or 9. That is 5 ways. Now, other three boxes can be filled with 8, 7 and 6 ways respectively.

Therefore, Total numbers = 5×8×7×6 = 1680

7 0

3 years ago

Pls tell me how to convert a fraction into a decimal! I’m having sm trouble understanding:(

pogonyaev

Answer:

1. 0.875 2. 0.666… 3. 2.25 4. 0.8333…

Step-by-step explanation:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number. Hope you get it! :)

5 0

2 years ago