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liraira [26]
3 years ago
10

The sum of three consecutive natural numbers is 528, find the numbers.

Mathematics
2 answers:
padilas [110]3 years ago
8 0
Three consecutive numbers: n, (n+1), (n+2)

n+n+1+n+2=528

3n+3=528
3n=525
n=175

Therefore the numbers are 175, 176, 177
lutik1710 [3]3 years ago
4 0
528/3=176

go one lower and one higher

175+176+177 = 528
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Tan(2 sin^-1 0.4)<br> Find the Exact value
stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0
3 years ago
The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu
beks73 [17]

Answer:

$2.79 per pound of apples.

0.36 pounds per dollar.

The unit rate representing cost of per pound apples is typically used.

Step-by-step explanation:

We have been given that the weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95.

Since we know when rates are expressed as a quantity of 1, such as 100 meter per second or 5 miles per hour, they are called unit rates. We need to have 1 in our denominator to express two quantities as unit rate.

Let us find the unit rate in terms of cost of per pound bag of apples.

\text{Unit rate as the cost of organic apples per pound}=\frac{\$13.95}{5 \text{ pounds of organic apples}}

\text{Unit rate as the cost of organic apples per pound}=\frac{\$2.79} {\text{ pound of organic apples}}

Therefore, our unit rate will be $2.79 per pound of apples.

Let us find unit rate of pounds of apples per dollar.

\text{Unit rate as the pounds of organic apples per dollar}=\frac{5\text{ pounds of organic apples}}{\$13.95}

\text{Unit rate as the pounds of organic apples per dollar}=\frac{0.3584 \text{ pounds of organic apples}}{\$}

\text{Unit rate as the pounds of organic apples per dollar}\approx \frac{0.36 \text{ pounds of organic apples}}{\$}

Therefore, our another unit rate will be 0.36 pounds per dollar.

Since, we purchase apples or other items according to their price per piece or their price per pound in our daily life, therefore, the unit rate representing cost of per pound apples is typically used.

3 0
3 years ago
Read 2 more answers
Plss help!<br>Question: Find a,b and c​
Roman55 [17]

Answer:

See below, please

Step-by-step explanation:

The right:

{(y + c)}^{2}  - b \times (x + a) \\  = ( {y}^{2}  + 2yc +  {c}^{2} ) - bx - ba  =

= {y}^{2}  - bx + 2cy +  {c}^{2}  - ab

The left:

=  {y}^{2}  - 7x - 18y + 109

So, after comparing the right side and the left side of this equation, we know

1)

b = 7

2)

2c =  - 18 \\ so \\ c =  - 9

3)

{c}^{2}  - ab = 109

So,

a =  \frac{ {c}^{2}  - 109}{b}  =  \frac{ { (- 9)}^{2}  - 109}{7}  =  \frac{ - 28}{7}  =  - 4

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2 years ago
I need to know how to do these asap!!
ludmilkaskok [199]

Answer:


Step-by-step explanation:

y =4/3 x+4

slope intercept form

y = mx+b

the y intercept is 4  (0,4)

and the slope is 4/3  which is change in y over change in x

we go up 4 to the right 3

we can rewrite the slope as -4/-3

so we can go down 4 and to the left 3

this would be point (-3,0)


we have 2 points marked, now draw a line throught them


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3 years ago
How can you write 2,000 in a exponent
Mnenie [13.5K]
1,000 = 10^3            (3 because there are 3 digits after the first one)

2,000 = 2 * 10^3
3 0
3 years ago
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