if the net from the two triangles are the right triangles all quadrilaterals what is its surface area in square units?

grin007 [14]

Rounding a number means to change its value slightly so it is not as exact as the original number. Numbers are rounded to a certain place value - tens, hundreds, thousands. etc..

Numbers are rounded to make it easier to do various math processes such as estimating costs in one's head or dividing larger numbers.

RULE: To round a two digit number or higher number to the nearest tens place:

If the number in the ones place of a two digit number is less than five, round the number down to the nearest tens place. If the number in the ones place is greater than five, round it up to the nearest tens plac.

Example 1: Round 23 to the nearest tens place

The number 3 in the ones place is less than five. Therefore the number 23 is rounded down to 20.
23 rounded to the nearest tens place is 20.

Example 2: Round 28 to the nearest tens place.

The number 8 in the ones place is greater than five. Therefore the number 28 is rounded up to 30.
28 rounded to the nearest tens place is 30.

Example 3: Round 94 to the nearest tens place.

The number 4 in ones place is less than five. Therefore the number 94 is rounded down to 90.
94 rounded to the nearest tens place is 90.

Example 4: Round the number 97 to the nearest tens place.

This one is tricky. The number 7 in the ones place is greater than five. Therefore the number 97 is rounded up to 100.
97 rounded to the nearest tens place is 100.

4 0

3 years ago

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An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click

Sergeeva-Olga [200]

Answer:

A. $\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}$

B. $\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }$

Step-by-step explanation:

Given that:

An investment of Amount = $8000

earns at an annual rate of interest = 7% = 0.07 compounded continuously

The objective is to :

A) Find the instantaneous rate of change of the amount in the account after 2 year(s).

we all know that:

$A = Pe^{rt}$

where;

$A = (8000) \ e ^{0.7t}$

The instantaneous rate of change = $\dfrac{dA}{dt}$

$\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )$

$= 8000 \dfrac{d}{dt}e^{0.07 \ t}$

$\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}$

$\dfrac{dA}{dt}= 560 e^{0.07 \ t}$

At t = 2 years; the instantaneous rate of change is:

$\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}$

$\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}$

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.

Here the amount = 12000

$12000 = (8000)e^{0.07 \ t}$

$\dfrac{12000 }{8000}= e^{0.07 \ t}$

$1.5= e^{0.07 \ t}$

㏑(1.5) = 0.07 t

0.405465 = 0.07 t

t = 0.405465 /0.07

t = 5.79

$\dfrac{dA}{dt}= 560 e^{0.07 \ t}$

At t = 5.79

$\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}$

$\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }$

7 0

3 years ago

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles those sides are congruent.

inessss [21]

Step-by-step explanation:

option A

hope it helps

thank you

7 0

3 years ago

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Four less than the product of 2 and a number is the same as negative eightteen. Find the number

dolphi86 [110]

Answer:

12

Step-by-step explanation:

4-2x=-18

-4 -4

-2x=-24

-2 -2

x=12

6 0

3 years ago

3. What is the radius of the figure if the Area of the Sector is 288*pi? *

Alla [95]

Answer:

The radius of the circle is 36

x = 36

Step-by-step explanation:

Area of sector formula is:

$A=\frac{\theta}{360}*\pi r^2$

Given $\theta=80$ , and area (A) is $288\pi$ , we substitute and solve for r:

$A=\frac{\theta}{360}*\pi r^2\\288\pi=\frac{80}{360}*\pi r^2\\288\pi=\frac{2}{9}*\pi r^2\\288\pi=\frac{2\pi r^2}{9}\\2\pi r^2= 2592 \pi \\r^2= 1296\\r=\sqrt{1296}\\r=36$

Thus,

The radius of the circle is 36

x = 36

7 0

3 years ago