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2 years ago

What is the square root of 8 and why?

1 answer:

8 0

Rewrite 88 as 22⋅222⋅2.Factor 44 out of 88.√4(2)4⁢2Rewrite 44 as 2222.√22⋅222⋅2Pull terms out from under the radical.2√22⁢2The result can be shown in both exact and decimal forms.Exact Form:2√22⁢2Decimal Form:2.82842712…

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The sum of two numbers is 11. The sum of their squares is 65. Find the numbers. (How do you get the answer?)

Stels [109]

X is the number
The sum of two numbers is 11, so other number is : 11 - x

The sum of their squares is 65

x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 - 65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7

x - 4 =0
x =4

answer: the numbers are 4 and 7

double check:

sum of two numbers is 11:
4 + 7 = 11

The sum of their squares is 65
4^2 + 17^2 = 16 + 49 = 65

7 0

3 years ago

Rogers’s car loan is automatically deducting $35 from his bank account every month. How much will the deductions total for the y

MrRa [10]

Well since there is 12 months in a year you would multiply 35 by 12, so the answer is 420

4 0

3 years ago

I want to purchase a third of a cupcake for

never [62]

Answer:

Well it would be a total of 2 Cup Cakes

Step-by-step explanation:

1/3 + 1/3 + 4/3 =2

2/3 +4/3 = 6/3

4 0

2 years ago

If RSTU is a rhombus, find the measure of angle RUT.

Schach [20]

Finding x:

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19 [replacing the given values of the angles]

7x - 23 = 19 [subtracting 3x from both sides]

7x = 42 [adding 23 on both sides]

x = 6 [dividing both sides by 7]

Finding ∠RUT:

We can see that:

∠RUT = ∠RUS + ∠TUS

Since we are given the values of ∠RUS and ∠TUS:

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

We know that x = 6:

∠RUT = 13(6)- 4

∠RUT = 74°

8 0

2 years ago

On a certain hot summer day, 481 people used the public swimming pool. The daily prices are 1.25 for children and 2.25 for adult

spayn [35]

Answer:the number of children that swam in the public pool that day is 222

the number of adult that swam in the public pool that day is 259

Step-by-step explanation:

Let x represent the number of children that swam in the public pool that day.

Let y represent the number of adult that swam in the public pool that day.

On a certain hot summer day, 481 people used the public swimming pool. This means that

x + y = 481

The daily prices are 1.25 for children and 2.25 for adults. The receipts for admission totaled to 86.25. This means that

1.25x + 2.25y = 860.25 - - - - - - - -1

Substituting x = 481 - y into equation 1, it becomes

1.25(481 - y) + 2.25y = 860.25

601.25 - 1.25y + 2.25y = 860.25

- 1.25y + 2.25y = 860.25 - 601.25

y = 259

Substituting y = 259 into x = 481 - y, it becomes

x = 481 - 259

x = 222

8 0

3 years ago