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3 years ago

PLEASE HELP ASAP!!!!!! What is the surface area of the pyramid?

Mathematics

1 answer:

Virty [35]3 years ago

6 0

48 is the base, the area of each triangle is 44

multiply that by 4 = 176

176+48=224

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Which expression is equivalent to the following?

4vir4ik [10]

Answer:

1.32 * 10^2

Step-by-step explanation:

Given the expression;

(5×10−3)+(6×10−3)2.2×10^4

First we need to do the multiplication first;

= (5×10−3)+(13.2×10−3+4)

= (5×10−3)+(13.2×10^1)

= 0.005 + 132

= 132.005

= 1.32 * 10^2

Hence the equivalent expression is 1.32.0 * 10^2

3 0

3 years ago

Use trigonometric substitution to evaluate the integral 13 + 12x − x2 dx . First, write the expression under the radical in an a

SCORPION-xisa [38]

I don't see a square root sign anywhere, so I'll assume the integral is

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx$

First complete the square:

$13+12x-x^2=49-(6-x)^2=7^2-(6-x)^2$

Now in the integral, substitute

$6-x=7\sin t\implies\mathrm dx=-7\cos t\,\mathrm dt$

so that

$t=\sin^{-1}\left(\dfrac{6-x}7\right)$

Under this change of variables, we have

$7^2-(6-x)^2=7^2-7^2\sin^2t=7^2(1-\sin^2t)=7^2\cos^2t$

so that

$\displaystyle\int\sqrt{13+12x-x^2}\,\mathrm dx=-7\int\sqrt{7^2\cos^2t}\,\cos t\,\mathrm dt=-49\int|\cos t|\cos t\,\mathrm dt$

Under the right conditions, namely that cos(<em>t</em>) > 0, we can further reduce the integrand to

$|\cos t|\cos t=\cos^2t=\dfrac{1+\cos(2t)}2$

$\displaystyle-49\int|\cos t|\cos t\,\mathrm dt=-\frac{49}2\int(1+\cos(2t))\,\mathrm dt=-\frac{49}2\left(t+\frac12\sin(2t)\right)+C$

Expand the sine term as

$\dfrac12\sin(2t)}=\sin t\cos t$

Then

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \sin t=\dfrac{6-x}7$

$t=\sin^{-1}\left(\dfrac{6-x}7\right)\implies \cos t=\sqrt{7^2-(6-x)^2}=\sqrt{13+12x-x^2}$

So the integral is

$\displaystyle-\frac{49}2\left(\sin^{-1}\left(\dfrac{6-x}7\right)+\dfrac{6-x}7\sqrt{13+12x-x^2}\right)+C$

3 0

3 years ago

Georgia passes out cookies to 28 friends. if each friend gets 5 cookies, how many cookies did Georgia hand out? Make an equation

Fudgin [204]

The equation is 28/5. George had 6 cookies left over.(estimate.) hope that helped

7 0

3 years ago

Read 2 more answers

Pls help me help me pls

grin007 [14]

Answer:

Point B

Step-by-step explanation:

Lines given:

y= 2/5x - 1/2
y= -1/3x +2/3

x coordinate of intersection of given lines is:

2/5x - 1/2= -1/3x+2/3
2/5x+1/3x= 2/3 +1/2
6/15x+5/15x= 4/6+3/6
11/15x=7/6
x= 7*15/11*6
x= 35/22

For this value of x, the value of y is:

y= 2/5*35/22 - 1/2
y=14/22- 1/2
y= 3/22

As per graph point (35/22, 3/22) is point B

4 0

3 years ago

If 30% of John's photographs were perfect, but 210 photographs were not perfect, then how many photographs were there in all?

anyanavicka [17]

If 30% were perfect, 70% were not perfect. So we know that 70% of the total number of photographs is 210.

p(70/100)=210 multiply both sides by 100

70p=21000 divide both sides by 70

p=300

So there are 300 photographs in all.

3 0

3 years ago