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3 years ago

Use the distributive property to find the product.

1 answer:

6 0

Use the Foil Method:

First: t x t =t^2
Outsides: t x 8 = 8t
Insides: -1 x t = - t
Lasts: 8 x -1 = -8

so you'll have t^2 + 8t - t - 8, simplify it more: t^2 + 7t - 8, A.

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The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the ampli

GarryVolchara [31]

Answer:

Step-by-step explanation:

Magnitude $M$ of an earthquake is defined as $M=log\text{ }\frac{I}{S}$ . Here $I$ is the Intensity of the earthquake and $S$ is the intensity of standard earthquake.

We have an earthquake that is 10 times more intense than a standard earthquake. Let us denote the intensity of the earthquake as $I$ .

10 times more intense than standard earthquake ⇒ $I=10S$

Magnitude of the earthquake = $M\text{ = }log\text{ }\dfrac{I}{S}\text{ = }log\text{ }\dfrac{10S}{S}\text{ = }log\text{ }10\text{ = }log_{10}\text{ }10\text{ = }1$

∴ Magnitude of the earthquake is 1.

6 0

3 years ago

Which of the following are adjacent angles?

sleet_krkn [62]

Answer:

Solution :

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Two angles are said to be a pair of

adjacent angles if they have a common

arm and lie on the either sides of the

common arm .

***********************************************

Now ,

i ) a , b are a pair of adjecent angles .

ii ) c , d are pair of adjecent angles.

iii ) e, f are not adjecent angles .

Step-by-step explanation:

6 0

2 years ago

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need we will need these two equations

Step one

Remember

area of a circle

$Area=\pi *\frac{diameter^{2} }{4}\\$

Also, the volume of the cylinder

Volume= area of the circle * height

$Volume=\pi *\frac{diameter^{2} }{4} *height\\$

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

$Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters$