All categories

3 years ago

How do find the volume of l blocks

Mathematics

1 answer:

kow [346]3 years ago

5 0

For number 1)

you must first split the figure, so subtract the 8 mm from 12 mm to find the width.... = 4mm

so you use the numbers 10 x 2 x 4 = 80 mm

and 2 x 8 x 3 = 48 mm

80 mm + 48 mm = volume of the figure

You might be interested in

Find the probability of atleast three successes in six trials of a binomial experiment in which the probability of success is 50

yan [13]

The binomial cumulative probability with p=0.5 for 3+ successes is as follows:

$P(3+)=\sum_{k=3}^6 {{6}\choose{k}}p^k(1-p)^{6-k}$

for p=0.5 (50% success rate) it becomes:

$P(3+)=\sum_{k=3}^6 {{6}\choose{k}}0.5^6=\frac{21}{32}=0.65625$

the probability is 0.65625, or about 66%

7 0

3 years ago

Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg

n200080 [17]

$\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k$

is conservative if there is a scalar function $f(x,y,z)$ such that $\nabla f=\vec F$ . This would require

$\dfrac{\partial f}{\partial x}=y$

$\dfrac{\partial f}{\partial y}=x$

$\dfrac{\partial f}{\partial z}=3$

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

$f(x,y,z)=xy+g(y,z)$

$\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$f(x,y,z)=xy+h(z)$

$\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C$

$f(x,y,z)=xy+3z+C$

so $\vec F$ is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

$\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r$

$=f(5,7,-2)-f(1,2,3)=\boxed{18}$

8 0

3 years ago

The box of cereal shown below has a volume of 297.16 cubic inches. The width is 4.6 inches and the length is 6.8 inches. In inch

finlep [7]

Answer:

9.5 inches

Step-by-step explanation:

Volume = length × width × height

297.16 = 4.6 × 6.8 × height

height = 9.5

4 0

3 years ago

Lin was looking at the equation 2x-32+4(3x-2462)=14x.she said”I cant tell right away there are no solutions, because on the left

ryzh [129]

Disagree with Lin: There are no solutions because 12x+2x is equal to 14x, if 14x=14x on both sides, the x variable can be cancelled out since they have the same slope

8 0

3 years ago

Read 2 more answers

What are two prime number that are greater than 25 and less than 35

zavuch27 [327]

the only two are
29, 31,

8 0

3 years ago