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3 years ago

Solve for x please need help need answer ASAP

Mathematics

1 answer:

Solnce55 [7]3 years ago

3 0

From the given diagram , in smaller triangle BCD , Using Pythagoras theorem we can write

$x^2=p^2+4^2\\\\x^2=p^2+16\\\\$

In Triangle ABD , we can write

$q^2=21^2+p^2\\\\$

In Triangle ABC

$(21+4)^2=q^2+x^2\\\\q^2+x^2=625\\$

Now using the above three equations we can write

$21^2+p^2+x^2=625\\\\21^2+x^2-16+x^2=625, x^2=p^2+16\\\\2x^2+425=625\\\\2x^2=625-425\\\\2x^2=200\\\\x^2=100\\\\x=10\\$

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Find the missing measure for a right circular cone given the following information. Find V if r = 2 and L.A. = 12. (16/3)√2 16√2

aksik [14]

Volume of cone is given by formula

$V = \frac{\pi r^{2}h}{3}$ -------------------------------------------(1)

We are already given r =2, so we need to find h and then we can find volume

So missing meausre is height here ------------------------------------------------------------------------------

To find h we will use lateral area = $12\pi$ given

Formula for lateral area of cone is $\pi r\sqrt{r^{2}+ h^{2}}$

so we have $12 = \pi r\sqrt{r^{2}+ h^{2}}$

Now plug r as 2 in this equation

$12 \pi = \pi (2)\sqrt{2^{2}+ h^{2}}$

Now solve for h as shown and get h by itself

$\frac{12\pi}{2\pi} = \frac{2\pi\sqrt{4+h^{2}}}{2 \pi}$

$6 = \sqrt{4+h^{2}}$

$6^{2} = \sqrt{4+h^{2}} ^{2}$

$36} = 4+h^{2}$ $36 - 4 = 4+h^{2} -4$

$32 = h^{2}$ $\sqrt{32} = \sqrt{h^{2}}$

$\sqrt{16 \times 2} = h$ $\sqrt{16} \times \sqrt{2} = h$

$4\sqrt{2} = h$ ----------------------------------------------------(2)

Now plug 2 in r place and $4\sqrt{2}$ in h place in volume formula given in (1)

$V = \frac{\pi r^{2}h}{3}$

$V = \frac{\pi (2)^{2}4\sqrt{2}}{3} [/tex][tex] V = \frac{\pi (4)4\sqrt{2}}{3}$

$V = \frac{16 \pi \sqrt{2}}{3}$

so choice (1) is right answer

$(1) \frac{16 \sqrt{2}\pi}{3}$

correct answer --------------------------------------------------------------------------------------------------

$(2) 16 \sqrt{2} \pi$

incorrect answer as correct volume answer we got as $\frac{16 \sqrt{2}\pi}{3}$ --------------------------------------------------------------------------------------------------

$(3) 4 \sqrt{38} \pi$

incorrect answer as correct volume answer we got as $\frac{16 \sqrt{2}\pi}{3}$ --------------------------------------------------------------------------------------------------------

6 0

3 years ago

Read 2 more answers

You and your six friends are eating lunch and decide to split the bill equally. Write an algebraic expression explaining how you

Pie

X=t/7

x is the cost for each of the friends plus you (me)

t is the total amount of me and my friends

7 is me and my friends

Hope this helps you •з•

6 0

3 years ago

You roll a six-sided die. Find the probability of each of the following scenarios. (a) Rolling a 5 or a number greater than 3.

sertanlavr [38]

Answer:

Step-by-step explanation:

let A= number 5

B=number >3

P(A)=1/6 {5}

P(B)=3/6 {4,5,6}

p(A∩B)=1/6 {5}

P(AUB)=P(A)+P(B)-P(A∩B)=1/6+3/6-1/6=3/6=1/2