If ASTU is similar to AXYZ, the sides of ASTU must be congruent to the

Find the value of the expression below. Express your answer in scientific notation.

nirvana33 [79]

The value of the expression is $8.8 \times 10^{-2}$ .

Solution:

Given expression:

$$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)$

<u>To find the value of the given expression:</u>

Using exponent rule: $a^m\times a^n=a^{m+n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

$$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)$

Using exponent rule: $\frac{a^m}{a^n} =a^{m-n}$

$$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2$

$$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2$

Since $\frac{4.8}{1.2}=4$

$$\Rightarrow(4 \times 10^{-2})\times 2.2$

$$\Rightarrow 8.8 \times 10^{-2}$

Hence the value of the expression is $8.8 \times 10^{-2}$ .

7 0

3 years ago

Using a Celsius scale, water freezes at 0°C and boils at 100°C. Using a Fahrenheit scale, water freezes at 32°F and boils at 212

natulia [17]

Y= (x(9/5)) + 32; Ex: y=(100(9/5)) + 32 —> 100 x 1.8 (or 9/5) = 180–> 180 + 32= 212 F

5 0

3 years ago

1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?

Bess [88]

Answer:

Step-by-step explanation:

1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.

2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

(x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.

3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

4 0

3 years ago

A man invest 5,200,part at 4% and the balance at 3%. If his total income for the two investments is $194,how much money did he i

Fed [463]

Let the amount invested at 4% be = x

Let the amount invested at 3% be = y

Given is:

$x+y=5200$ or $x=5200-y$ .... (1)