Ask question

Ask question

All categories

3 years ago

11

Write the decimal for 1/8 explain why this decimal os called a terminating decimal

1 answer:

mote1985 [20]3 years ago

8 0

0.125, it's a terminating decimal because it has a finite number of digits.

You might be interested in

A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t

e-lub [12.9K]

Answer:

137.8

Step-by-step explanation:

3 0

2 years ago

Alicia drives her car 287.5 miles in 5 hours. What is the constant of proportionality that relates the total number of miles, y,

Sphinxa [80]

Answer:

57.5

Step-by-step explanation:

The constant of proportionality is "k" in the equation ...

y = kx

It can be found from values of x and y using ...

k = y/x

For the given values, it is ...

k = (287.5 mi)/(5 h) = 57.5 mi/h

The constant of proportionality relating miles to hours is 57.5.

5 0

3 years ago

The location of four buildings on a coordinate grid are as follows:

Gre4nikov [31]

Answer:

3400 feet

Step-by-step explanation:

Distance between building 1 and building 2 = |5+3| = 8

Distance between building 2 and building 3 = |4+5| = 9

Distance between building 3 and building 4 = |-3-5| = 8

Distance between building 4 and building 1 = |4+5| = 9

total distance = 8 x 2 + 9 x 2 = 34

total distance in feet = 34 x 100 = 3400 feet

3 0

2 years ago

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest

sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

$Length = 1\frac{2}{3}m$

$Pieces = \frac{3}{4}m$

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

$x= \frac{Length}{Pieces}$

$x= 1\frac{2}{3}/\frac{3}{4}$

Convert mixed numbers to improper fraction

$x= \frac{5}{3}/\frac{3}{4}$

Change division to multiplication

$x= \frac{5}{3}*\frac{4}{3}$

$x= \frac{20}{9}$

$x = 2.22$

<em></em> $x = 2$ <em> </em>

6 0

2 years ago

4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

so

The sine of angle theta is positive

Remember that

$sin^{2}(\theta)+ cos^{2}(\theta)=1$

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

or

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

so

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

or

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

5 0

3 years ago