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2 years ago

What is the simplified version of sixth root of 27

Mathematics

1 answer:

vovangra [49]2 years ago

7 0

Exact Form:
√
3

Decimal Form:
1.73205080

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Kerille is reading a book at the rate of 4.5 pages per minute. What ordered pair on a graph of his reading rate would represent

viva [34]

This is a linear equation y = mx, where:
m= slope or reading rate:
x = the number of minutes
y = the number of pages read.

So the equation becomes: y = 4.5.x
How many minutes it will take to read 90 pages (y):
90 = 4.5.x or x = 90/4.5 and x = 20 minutes
So the ordered pair will be (20,90)

5 0

3 years ago

PLEASE PLEASE ANSWER!

muminat

The area of the shaded region is $$8(\pi \ -\sqrt{3})\ \text{cm}^2$ .

Solution:

Given radius = 4 cm

Diameter = 2 × 4 = 8 cm

Let us first find the area of the semi-circle.

Area of the semi-circle = $\frac{1}{2}\times \pi r^2$

$$=\frac{1}{2}\times \pi\times 4^2$

$$=\frac{1}{2}\times \pi\times 16$

Area of the semi-circle = $$8\pi$ cm²

Angle in a semi-circle is always 90º.

∠C = 90°

So, ABC is a right angled triangle.

Using Pythagoras theorem, we can find base of the triangle.

$AC^2+BC^2=AB^2$

$AC^2+4^2=8^2$

$AC^2=64-16$

$AC^2=48$

$AC=4\sqrt{3}$ cm

Base of the triangle ABC = $4\sqrt{3}$ cm

Height of the triangle = 4 cm

Area of the triangle ABC = $\frac{1}{2}\times b \times h$

$$=\frac{1}{2}\times 4\sqrt{3} \times 4$

Area of the triangle ABC = $8\sqrt{3}$ cm²

Area of the shaded region

= Area of the semi-circle – Area of the triangle ABC

= $$8\pi \ \text{cm}^2-8\sqrt{3}\ \text{cm}^2$

= $$8(\pi \ -\sqrt{3})\ \text{cm}^2$

Hence the area of the shaded region is $$8(\pi \ -\sqrt{3})\ \text{cm}^2$ .

3 0

2 years ago

The tape diagram models the lengths of two snowboarding trails. The expert trail is 750 meters longer than the beginner trail. H

Kay [80]

Answer:

In a tape diagram, each of the lengths represents a fixed quantity of something.

Let's suppose that each one of these lengths represents a distance d.

We also know that the expert trail is 750 meters longer than the beginner one.

And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.

750m = 3*d

d = 750m/3 = 250m

Then each length in the tape diagram represents 250m

With this we can find the length of each trail.

The beginner trail has 1 length, then it is 1*250m = 250 meters long.

The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.

5 0

2 years ago

The ordered pair (x,5) is a solution to the function f(x) = x^2 + 1

torisob [31]

Answer:

x = ± 2

Step-by-step explanation:

Given

f(x) = x² + 1 and (x, 5 ) is a solution then f(x) = 5

Equating the two gives

x² + 1 = 5 ( subtract 1 from both sides )

x² = 4 ( take the square root of both sides )

x = ± $\sqrt{4}$ = ± 2

Thus (- 2, 5) and (2, 5) are solutions

3 0

2 years ago

What is the measure of angle d1°

Leno4ka [110]

Answer:

Step-by-step explanation:

8 0

1 year ago