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2 years ago

The area of the figure is __ square units

Mathematics

1 answer:

frutty [35]2 years ago

7 0

Answer:

80 square units.

Step-by-step explanation:

4 triangles:

2 x 2 = 4. That's if the triangles were squares. Now divide 4 by 2 and you get 2.

There are 4 triangles, so, 2 x 4 = 8.

Now the 2 rectangles. It's (2 x 6) x 2. 12 x 2, 24.

The large rectangle:

8 x 6 = 48.

Whole figure:

48 + 8 + 24 = 80 square units.

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Solve 3x+k= c for x.

Debora [2.8K]

Answer:

x = $\frac{c-k}{3}$

Step-by-step explanation:

Given

3x + k = c ( isolate the term 3x by subtracting k from both sides )

3x = c - k ( divide both sides by 3 )

x = $\frac{c-k}{3}$

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3 years ago

A superhero asked his nemesis how many cats she has. she answered with a riddle "Three-fourths of my cats plus seven" how many c

liq [111]

Let C be the number of cats of the superhero. With this, the number of cats of nemesis have is 3C/4 + 7. The numbers should be equal such that,
C = 3C/4 + 7
The value of C from the equation is 28. Thus, the number of cats of the nemesis is 28.

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3 years ago

8x^-9+(-3x^-3y-2)(5/x^6y-2)

DaniilM [7]

$8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})$

the first step is to deal with the negative exponents, which causes numbers to go to the other side of the fraction

8x^{-9}+(-3x^{-3}y^{-2})(\frac{5}{x^6y^{-2}})

goes to

$\frac{8}{x^9}+(\frac{-3}{x^3y^2})(\frac{5y^2}{x^6})$

now we can simplify the multiplied terms

$\frac{8}{x^9}+(\frac{-15}{x^9})$

Now that we have common bases, we can add the 2 fractions together to get

$\frac{-7}{x^9}$

8 0

3 years ago

Linda made $104 for 8 hours of work. At the same rate, how many hours would she have to work to make $143?

KatRina [158]

Answer:

11 hours

Step-by-step explanation:

104 dollars for 8 hours of work. So how much money per hour?

104/8= 13 dollars per hour

At the same rate = 13 dollars per hour, so

How many hours to make 143 dollars? With the same rate?

143/13 = 11 hours

8 0

3 years ago

Read 2 more answers

Evaluate each geometric series described<br> 1-4+16-64...., n=6

xz_007 [3.2K]

Answer:

- 819

Step-by-step explanation:

The sum to n terms of a geometric series is

$S_{n}$ = $\frac{a(r^n-1)}{r-1}$

where a is the first term and r the common ratio

Here a = 1 and r = - 4 ÷ 1 = - 4, thus

$S_{6}$ = $\frac{1((-4)^6-1)}{-4-1}$ = $\frac{4096-1}{-5}$ = $\frac{4095}{-5}$ = - 819

5 0

3 years ago

Read 2 more answers