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2 years ago

14

Leo reads 10 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page. The unit rate is blank pages per h

our
(Fill in the blank)

1 answer:

Maslowich2 years ago

3 0

Answer:

30 pages

Step-by-step explanation:

Because if he reads 10 pages in 1/3 of a hour 1/3 of an hour is 20 mins so x2 means 30 pages

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Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.

wolverine [178]

Answer:

$t_7 =\frac{5}{729}$

Step-by-step explanation:

We are given that:

First term (a) = 5

common ratio (r) = $\frac{1}{3}$

The nth term of a geometric sequence is given as:

$t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}$

8 0

3 years ago

Can anyone please explain? Need some help :)

DedPeter [7]

Answer:

93.5 square units

Step-by-step explanation:

Diameter of the Circle = 12 Units

Therefore:

Radius of the Circle = 12/2 =6 Units

Since the hexagon is regular, it consists of 6 equilateral triangles of side length 6 units.

Area of the Hexagon = 6 X Area of one equilateral triangle

Area of an equilateral triangle of side length s = $\dfrac{\sqrt{3} }{4}s^2$

Side Length, s=6 Units

$\text{Therefore, the area of one equilateral triangle =}\dfrac{\sqrt{3} }{4}\times 6^2\\\\=9\sqrt{3} $ square units$

Area of the Hexagon

$= 6 X 9\sqrt{3} \\=93.5$ square units (to the nearest tenth)$

7 0

3 years ago

Which of the following is a true statement

77julia77 [94]

Answer:

11/15 < 4/5

Step-by-step explanation:

1. 5/6 = 10/12, so the first answer is not correct

2. 1/4 = 4/16, so the second answer is not correct

3. 3/4 = 9/12 and 4/6 = 8/12, so the third answer is not correct

4. 4/5 = 12/15 > 11/15, so this answer is correct

7 0

1 year ago

Read 2 more answers

What is the value of h in this graph ?<br> F(x)= |x - h|

Misha Larkins [42]

Answer:

$h=4$

Step-by-step explanation:

We know that the vertex(lowest point) of $|x-h|$ is $(h, 0)$ .

By inspection, we can see that the vertex of the graph is $(4, 0)$ .

So, the lowest point of $F(x)=|x-h|$ is $(4, 0)$ , which means $\boxed{h=4}$

8 0

2 years ago

Read 2 more answers

If the given values in a right triangle are cos A =

Vlad1618 [11]

See the picture attached to better understand the problem

we know that
in the right triangle ABC
cos A=AC/AB
cos A=1/3
so
1/3=AC/AB----->AB=3*AC-----> square----> AB²=9*AC²----> equation 1

applying the Pythagoras Theorem
BC²+AC²=AB²-----> 2²+AC²=AB²---> 4+AC²=AB²----> equation 2

substitute equation 1 in equation 2
4+AC²=9*AC²----> 8*AC²=4----> AC²=1/2----> AC=√2/2
so
AB²=9*AC²----> AB²=9*(√2/2)²----> AB=(3√2)/2

the answer is
the hypotenuse is (3√2)/2

5 0

3 years ago