What is the vertex of the function?

How many times is the value of the digit 5 in 65.1748 lesser than the value of

olchik [2.2K]

Answer:

3 times

Step-by-step explanation:

The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.

4 0

3 years ago

A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular fa

salantis [7]

Image used in answering the question is attached below.

Answer: 21.97gallons

Step-by-step explanation:

Calculating the total area to be painted :

The exterior four walls :

The exterior walls have rectangular front, back and two sides.

Area of rectangular front and back :

Length(L) = 32ft

Width(W) = 20ft

Area of rectangle = L × W

32 × 20 = 640ft^2

Front and back = 640ft^2 × 2 = 1280ft^2

Area of rectangular sides :

Length = 84

Width = 20

2 × (84 × 20) = 3360ft^2

Area of triangular front and back :

Area of triangle = (0.5) × base × height

Base = 38ft, height = 12ft

(0.5) × 38 × 12 = 228ft^2

Two triangles = 2 × 228 = 456ft^2

Total area to be painted :

(456 + 3360 + 1280)ft^2 = 5096ft^2

Gallons required = total area to be painted / area covered by one gallon

5096ft^2/232ft^2 = 21.965gallons

4 0

3 years ago

For vectors u= (3,4) and v= (1,3) find CompuV and the angle between u and v.

vampirchik [111]

Answer:

The angle between the given vectors u and v is $\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]$

Step-by-step explanation:

Given vectors are $\overrightarrow{u}=(3,4)$ and $\overrightarrow{v}=(1,3)$

Now compute the dot product of u and v:

$\overrightarrow{u}.\overrightarrow{v}=(3,4).(1,3)$

$=(3)(1)+(4)(3)$

$=3+12$

$=15$

Now find the magnitude of u and v:

$|\overrightarrow{u}|=\sqrt{3^2+4^2}$

$=\sqrt{9+16}$

$=\sqrt{25}$

$=5$

$|\overrightarrow{u}|=5$

$|\overrightarrow{v}|=\sqrt{1^2+3^2}$

$=\sqrt{1+9}$

$=\sqrt{10}$

$|\overrightarrow{v}|=\sqrt{10}$

To find the angle between the given vectors

$\overrightarrow{u}.\overrightarrow{v}=|\overrightarrow{u}|\overrightarrow{v}|cos\theta$

$\theta=cos^{-1}\left[\frac{\overrightarrow{u}.\overrightarrow{v}}{|\overrightarrow{u}|\overrightarrow{v}|}\right]$

$=cos^{-1}\left[\frac{15}{5\times \sqrt{10}}\right]$

$\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]$

Therefore the angle between the vectors u and v is

$\theta=cos^{-1}\left[\frac{3}{\sqrt{10}}\right]$

3 0

3 years ago

Triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC i

strojnjashka [21]

Answer: Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Step-by-step explanation: The leg is the smallest number and the hypothenuse is the biggest nunber.

7 0

3 years ago

Read 2 more answers

1

Zanzabum

Answer:

independent and 1/4

Step-by-step explanation:

it is independent because you replaced and that still kept the total outcomes.

1/2 times 1/2 which is 1/4

7 0

3 years ago