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3 years ago

Look at the figure. Name the postulate or theorem you can use to prove the triangles congruent.

Mathematics

1 answer:

Alona [7]3 years ago

4 0

Answer:

the last one I think sorry if its incorrect

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David has 52 cans, Sarah has 51 less than X how many does Sarah have

True [87]

Answer:

According to my very precise calculations, I've come to the conclusion that the answer is 1.

7 0

3 years ago

The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c

Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 $\rm{in^3}$

Step-by-step explanation:

The linearization or linear approximation of a function $f(x)$ is given by:

$f(x_0+dx) \approx f(x_0) + df(x)|_{x_0}$ where $df$ is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

Taking $R_0=1.5$ inches and $h=3$ inches and evaluating the partial derivatives we obtain:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh$

substituting the values and taking $dx=0.1$ and $dh=0.3$ inches we have:

$V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3} + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}$

Therefore the change in volume is estimated to be 17.20 $\rm{in^3}$

4 0

3 years ago

During April it was recorded that there were 19 days when it rained, mostly cloudy on 6 days and sunny on 5 days inference in th

Anika [276]

Answer:

I would defend this

Step-by-step explanation:

This makes sense because April is the rainiest month of the year. It's even shown in the say that April showers bring May flowers.

5 0

2 years ago

If it takes 9 1/2 bags of sand to fill 2 1/2 sandboxes how much sand does it take to fill one sandbox

Bumek [7]

Hello.

It takes 3 4/5 bags of sand to fill in one sandbox.

Hope it helps you :)

3 0

3 years ago

Read 2 more answers

On July 3rd, a family left for vacation. They drove 431.2 miles on the first day, then they drove an average of 826.4 miles each

Alexxx [7]

431.2+826.4d=2910.4
431.2 is only the first day therefore it doesn't need the variable because the variable represents the number of days. 826.4 even says "each remaining day" referring to what the variable represents.

6 0

3 years ago