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2 years ago

5

Solve the following inequalities and give the solutions in both set and interval notations.

1 answer:

nikdorinn [45]2 years ago

5 0

4y + 3 > 23 subtract 3 from both sides

4y > 20 divide both sides by 4

y > 5

-2y > -2 divide both sides by -2 (the order changes)

y < 1

(-oo, 1) ∪ (5, oo)

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SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME

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Help me on this please

Rudik [331]

The paper is 16 cm by 34 cm to start with, so we started with area
.. (16 cm)*(34 cm) = 544 cm^2

A circle of diameter 16 cm has been removed. The area of that circle is
.. π*(d/2)^2 = 3.14*(16 cm/2)^2 = 200.96 cm^2

Then the area of the paper that remains is
.. 544 cm^2 -200.96 cm^2
.. = 343.04 cm^2

5 0

2 years ago

A rectangular prism has a base length of 6 units, base width of 5 units, and height of 4 units. The bases are shaded.

Angelina_Jolie [31]

Answer:

Part 1) The lateral area is $LA=88\ units^2$

Part 2) The area of the two bases together is $2B=60\ units^2$

Part 3) The surface area is $SA=148\ units^2$

Step-by-step explanation:

Part 1) Find the lateral area

we know that

The lateral area of a prism is given by

$LA=Ph$

where

P is the perimeter of the base

h is the height of the prism

so

$P=2(6+5)=22\ units$ ----> perimeter of rectangle

$h=4\ units$ ---> given

substitute

$LA=22(4)=88\ units^2$

Part 2) The area of the two bases together is?

The area of the rectangular base B is equal to

$B=(6)(5)=30\ units^2$

therefore

The area of the two bases together is

$2B=2(30)=60\ units^2$

Part 3) The total surface area is

we know that

The surface area is equal to

$SA=2B+LA$

substitute

$SA=60+88=148\ units^2$

4 0

2 years ago

Read 2 more answers

Jason spent one third of his allowance going to the movies. He washed the family car and earned $7. What is weekly allowance if

mel-nik [20]

Answer:

6.66666666667

Step-by-step explanation:

so if the 7 dollars factors into allowance I am right his total allowance would be $20 one third of Twenty is 6.66666666667

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2 years ago

A set of input and output values, such that each input has one or more outputs, is called a

Ainat [17]

Answer:

function

Step-by-step explanation: A function is the one where you put an input to find x or y

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2 years ago

Verify sin4 x- sin2x = cos4x – cos2x is an identity

Andrej [43]

Step-by-step explanation:

sin⁴ x − sin² x

Factor:

(sin² x) (sin² x − 1)

Pythagorean identity:

(1 − cos² x) (-cos² x)

Distribute:

-cos² x + cos⁴ x

cos⁴ x − cos² x

6 0

2 years ago