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3 years ago

1.2 = m - 2.5 m=? What would be the answer?

Mathematics

1 answer:

zysi [14]3 years ago

3 0

Answer:

3.7

Step-by-step explanation:

1. 2 = m - 2.5

m =?

from the question simple arithmetic will be applied by simply collecting the like terms together

therefore; m = 1.2 + 2.5

m = 3.7

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notsponge [240]

This is to be solved from similarity of triangles, so according to similar triangles' rules, The ratio of the length of side DC to the length of side AC is equal to the ratio of the length of side ED to the side AB. So we can solve from the proportion, $\frac { 10 }{ 25 } =\frac { 5 }{ x }$

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3 years ago

What is the correct integer for the following: a deposit of $1000?

Sladkaya [172]

Answer: One hundred thousand

Step-by-step explanation:

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3 years ago

15. Over what range of angles does the value of sin(O) consistently increase?

Ronch [10]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/ $\sqrt{2}$

sin 60 = $\sqrt{3} /2$

sin 90 = 1

Thus, we see that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = $\sqrt{3} /2$

sin 135 = 1/ $\sqrt{2}$

sin 150 = 1/2

sin 180 = 0

Thus, we see that value of sin is decreasing from 90 to 180.

8 0

4 years ago

There are 20 families living in the Willbrook Farms Development. Of these families, 10 prepared their own federal income taxes f

ioda

Answer:

a) 1/2

b) 9/40

Step-by-step explanation:

Given

Total number of families living in Willbrook Farms Development = 20

Number of families preparing their own federal income taxes for last year = 10

Number of families for which taxes were prepared by a local professional = 7

Number of families for which taxes were prepared by H&R Block = 3

a) Probability of selecting a family that prepared their own taxes = 10/20 = 1/2

b) The probability of selecting two families, both of which prepared their own taxes

10/20 * 9/20 = 9/40

4 0

3 years ago

Find the domain and range of these functions. a) the function that assigns to each pair of positive integers the ﬁrst integer of

Sonja [21]

Answer:

a) Domain = N x N, Range = N

b) Domain = N, Range = {1,2,3,....,9}

c) Domain = {0, 1, 00, 01, 10, 11,...}, Range = {.....,-4, -3, -2, -1, 0, 1, 2, 3,......}

d) Domain = {1,2,3,4,.....}, Range = {0, 1, 2, 3, 4,.....}

e) Domain = {0, 1, 01, 10, 11,....}, Range = {1, 11, 111, 1111, 11111,.....}

Step-by-step explanation:

a) The function that assigns to each pair of positive integers the first integer of the pair will have domain equal to all pairs of natural numbers i.e, N x N where N = {1,2,3,.....} since the set of natural numbers has all positive integers.

Domain = {(x,y) | x ∈ N and y ∈ N}

The range is any integer so it will be a set of natural numbers N = {1,2,3,....}

b) Here, we have domain of each positive integer so we will have

Domain = {1,2,3,....}

Range is the largest decimal digit of the positive number which can be any number from 1 to 9

So, Range = {1,2,3,4,....,9}

c) Domain is a bit string i.e.

Domain = {0, 1, 00, 01, 10, 11,...}

The range includes the differences of 1's and 0's in the string. According to this, we can have all positive and non-positive (0 and negative integers) values in the range. So, it will be a set of all integers

Range = {.....,-4, -3, -2, -1, 0, 1, 2, 3,......}

d) We again have domain equal to set of positive integers i.e,

Domain = {1,2,3,4,.....}

Range is the largest integer that does not exceed the square root of the number. According to this, image of 1 will be 0, image of 2 will be 1. So, range will be a set of whole numbers.

Range = {0, 1, 2, 3, 4,.....}

e) Domain = {0, 1, 01, 10, 11,....} (A bit string)

Longest string of ones in the string will give the range

Range = {1, 11, 111, 1111, 11111,.....}

3 0

3 years ago