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Alekssandra [29.7K]

3 years ago

13

Sarah's age is four more than twice her brothers age. Write two equivalent algebraic equations that can be used to find their ag

es.

1 answer:

motikmotik3 years ago

8 0

Answer:

Step-by-step explanation:

Let her brother's age be x

Sarah age = 2x + 4

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Verify: sec^2x+tan^2x=2sec^2x-1

Jlenok [28]

Answer:

see explanation

Step-by-step explanation:

Using the identity

tan²x = sec²x - 1

Consider left side

sec²x + tan²x

= sec²x + sec²x - 1

= 2sec²x - 1

= right side , thus verified

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3 years ago

Which expression can be used to find the surface area of the following rectangular prism?

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Answer:

C.

Step-by-step explanation:

3 times 2 is 6, 2 times 5 is 10, 5 times 3 is 15. However you need 2 for each since there are 3 sets of two equal faces. So it will be 6+6+10+10+15+15

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Vitek1552 [10]

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

so

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3 years ago

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MrRissso [65]

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WARRIOR [948]

Answer:

144 cm²

Step-by-step explanation:

A prism's surface has 2 triangles & 3 rectangles.

In both the triangles , length of :

Perpendicular = 4 cm

Base = 6 cm

So , Area of both triangles = $2(\frac{1}{2} * Base * Perpendicular) = 2(\frac{1}{2}* 6 * 4) = 24 cm^2$

In the 3 rectangles ,

Length = 8 cm

Width = 5 cm

So , Area of the rectangles = $3( Length * Width) = 3(8 * 5) = 120 cm^2$

Hence the total surface area of the prism is = 120 + 24 =144 cm²

6 0

3 years ago