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irakobra [83]
3 years ago
14

What is the volume of the solid figure below? 32 cm 3 72 cm 3 80 cm 3 96 cm 3

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

80cm^3

Step-by-step explanation:

To find the volume of the figure, we can see the shape comprises of both cube and cuboid

Volume of cuboid = length x breadth x height = 6x4x3= 72cm^3

Volume of cube = length xlength x length = 2×2×2 = 8cm^3

The volume of the figure = volume if cuboid and cube = 72+8 = 80cm^3

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The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)
Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

7 0
1 year ago
Is w^2-9w+81 a trinomial square
Yuri [45]
No because it would be
if you knew that
ax^2+bx+c was a trinomial square, then the factored form would be
( \sqrt{a}x+ \sqrt{c})^{2} or ( \sqrt{a}x- \sqrt{c})^{2}
so
if w^2-9w+81 is perfect square, factored form is either
( \sqrt{1}x+ \sqrt{81})^{2} or ( \sqrt{1}x- \sqrt{81})^{2}  aka ( x+9)^{2} or  ( x-9)^{2}
expand them
(x+9)^2=x^2+18x+81, wron middle term

(x-9)^2=x^2-18x+81 wrong

so it is not






8 0
3 years ago
Help! please it is almost due
sesenic [268]

Answer:

H and F both intersect through M. its called the (mid point) or the zero ground of the shape. Its the exact middle meaning the lines go cross but it passes by the other line, that pass by is the middle..

Step-by-step explanation:

4 0
3 years ago
Can someone solve and explain this question plz​
oee [108]

firstly let's convert the mixed fraction to improper fraction, then hmmm let's see we have two denominators, 5 and 3, and their LCD will simply be 15, so we'll multiply both sides by that LCD to do away with the denominators, let's proceed,

\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{z}{5}-4=\cfrac{7}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{z}{5}-4 \right)=15\left( \cfrac{7}{3} \right)}\implies 3z-60=35 \\\\\\ 3z=95\implies z=\cfrac{95}{3}\implies z = 31\frac{2}{3}

4 0
3 years ago
5x-y&gt;4 what does y equal
sukhopar [10]

Answer:

y < -4 + 5x

Step-by-step explanation:

8 0
3 years ago
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