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2 years ago

What is the range of this function?

Mathematics

1 answer:

Rzqust [24]2 years ago

5 0

Greetings.

The range is the set of y-value.

The range starts from the minimum point to maximum point.

Our minimum point starts at 0 and maximum point starts less than infinity.

Therefore the range is 0<=y<+inf

However, we do not often write that, although it is right.

Therefore we write as y≥0

Thus, the answer is B choice.

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6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.

vova2212 [387]

Answer:

The volume of the prism is $1,299\ in^{3}$

Step-by-step explanation:

we know that

The volume of the prism is equal to

$V=BL$

where

B is the area of the triangular base

L is the length of the prism

we have

$L=30\ in$

Find the area of the base B

The area of a equilateral triangle is equal to

$B=\frac{1}{2}(10)^{2} sin(60\°)$

$B=25\sqrt{3}\ in^{2}$

substitute

$V=(25\sqrt{3})(30)=1,299\ in^{3}$

4 0

3 years ago

A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of

lora16 [44]

Step-by-step explanation:

Let vertical height of ladder from ground be y and

horizontal distance of the base of the ladder from the wall be x respectively.

Length of the ladder = l (constant) = 10 ft

Using Pythagoras theorem:

${l}^{2} = {y}^{2} + {x}^{2}$

Differentiate both sides w.r.t time

$0 = 2y \frac{dy}{dt} + 2x \frac{dx}{dt}$

$y \frac{dy}{dt} + x \frac{dx}{dt} = 0$

We know that (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)

$6\times 2 + 8\frac{dx}{dt} = 0$

$\frac{dx}{dt} = - 1.5 ft \: per \: sec$

( Ignore - ive sign)

Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.

8 0

3 years ago

Someone please help I’m completely lost

TEA [102]

Answer:

Step-by-step explanation:

cows:sheep=6:5

sheep:pigs=2:1

cows:sheep:pigs=12:10:5

27x=189

x=7

sheep=10*7

sheep=70

6 0

3 years ago

Read 2 more answers

If c not equal be a rational number and d be an irrational number. then c×d is

melamori03 [73]

When you multiply a rational and an rational you always get an irrational. answer 3

8 0

3 years ago

In the figure AB =6cm, triangle AOB =60°

viva [34]

Answer:

From the basics of algebra,

a triangle subtended to the center of a circle from the circumference is always isosceles

since the Central angle is 60 and the triangle is isosceles, the other angles are,

$\frac{180 - 60}{2} = 60$

meaning that the triangle is equilateral.

all the other angles are 60.

the radius of the circle is the length of the triangles side,

ie 6cm

6 0

2 years ago