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3 years ago

What is the measure of abc in the figure below?

Mathematics

2 answers:

Anit [1.1K]3 years ago

7 0

Answer:

APEX

Step-by-step explanation:

rusak2 [61]3 years ago

3 0

We need to see the figure to answer the question

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The Richter scale measures the intensity of earthquakes on a logarithmic scale. The magnitude of an earthquake on the Richter sc

Aleksandr-060686 [28]

Answer:

Japan : $E=2.8183829313\times 10^{18}$

California : $E=2.8183829313\times 10^{15}$

Step-by-step explanation:

The magnitude of an earthquake on the Richter scale can be defined by

$M=\frac{2}{3}\log (E)-3.2$

where E is the energy of the quake in joules.

Add 3.2 on both sides.

$M+3.2=\frac{2}{3}\log (E)$

Multiply both sides by 3/2.

$\frac{3}{2}(M+3.2)=\frac{3}{2}\times \frac{2}{3}\log (E)$

$1.5M+4.8=\log (E)$

$10^{1.5M+4.8}=E$ $[\because \log x=a\Rightarrow x=10^a]$

$E=10^{1.5M+4.8}$ .... (1)

It is given that the 2011 Tohoku earthquake in Japan measured 9.1 on the Richter scale.

Substitute M=9.1 in equation (1).

$E=10^{1.5(9.1)+4.8}$

$E=10^{18.45}$

$E=2.8183829313\times 10^{18}$

Therefore, the energy released by earthquake in japan is $E=2.8183829313\times 10^{18}$ .

It is given that the 1999 Hector Mine earthquake in eastern California had a magnitude of 7.1.

Substitute M=7.1 in equation (1).

$E=10^{1.5(7.1)+4.8}$

$E=10^{15.45}$

$E=2.8183829313\times 10^{15}$

Therefore, the energy released by earthquake in California is $E=2.8183829313\times 10^{15}$ .

4 0

4 years ago

Bashir works in a weather station and has launched a weather ballon. The height of the baloon is 4 kilometers and it is 1 kilome

andrew-mc [135]

Answer:

Explanation:

We are given that the height of the balloon is 4 km and that it is 1 km away from the station.

Setting up the diagram that describes the given scenario, we would end up with a right-angled triangle as the one shown in the attached image

where:

height of the balloon = 4 km represents one side of the triangle

distance between the base of the balloon and the station = 1 km represents the other side

distance between the balloon and the station is the length we want to find and it represents the hypotenuse of the triangle.

To get the length of the hypotenuse, we will use the Pythagorean theorem

$hypotenuse = +\sqrt{(side1)^2 + (side2)^2}$

Substitute with the givens:

$hypotenuse = +\sqrt{(4)^2 + (1)^2}$ = √17 ≈ 4.1 km

Hope this helps :)

3 0

3 years ago

How to write half of a as an expression

Flura [38]

Answer:

1/2

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

10=−4x+3x^2 solve please help!

kumpel [21]

Answer:

-1.28 AND 2.61

Step-by-step explanation:

$10= -4x+3x^2\\ 3x^2 -4x - 10 = 0\\\\$

use quadratic formula

x = $\frac{-b+\sqrt{b^{2} -4ac} }{2a}$ x = $\frac{-b-\sqrt{b^{2} -4ac} }{2a}$

Solution/X-Intercepts: -1.28 AND 2.61

6 0

3 years ago

These questions get to me all they time I need help someone.

ratelena [41]

For angle one do 180-74 then divide by two and it will give you the angle for angle one and for angle two you just add the angle given and angle one then subtract by 180

3 0

4 years ago