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4 years ago

What value of y will make the equation true?

Mathematics

1 answer:

Readme [11.4K]4 years ago

4 0

Answer:

y = 34

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{a}$ = a

Given

$\sqrt{34}$ × $\sqrt{y}$ = 34 , then

y = 34

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Find the missing value when given the modulus.

kolbaska11 [484]

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We have been given the expression as

|a – i| = √37 (1)

Which is an expression of complex number. The general expression of complex number is given as

z = x + iy

where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

|z| = |x + iy|

|z| = √[(real part)2 + (imaginary part)2]

|z| = √(x2 + y2)

According to the question, |z| = √37 (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

#SPJ9

3 0

2 years ago

What is the next term of the geometric sequence? 72,36,18

MissTica

Answer:

Step-by-step explanation:

The ratio is 1/2 so the next term would always be half of the previous one.

- 72 times 1/2 is 36

-36 times 1/2 is 18

-18 times 1/2 is 9. So the answer is 9

5 0

4 years ago

Sara is cutting circles out of pieces of cardboard. If she uses a rectangular piece of cardboard that is 8 in. 10 in., what is t

Vinvika [58]

Answer:

50.29 square inches.

Step-by-step explanation:

Given:

Sara is cutting circles out of pieces of cardboard.

She uses a rectangular piece of cardboard that is 8 inches by 10 inches.

Question asked:

What is the area of the largest circle she could make?

Solution:

Here given length of piece of cardboard is 10 inches and breadth is 8 inches, to draw the largest circle, we have to draw the circle touching the boundary of the breadth of the rectangular cardboard and hence breadth will be considered as diameter and it will be the maximum diameter of the circle.

Now, we will find the area of the largest circle by taking breadth as the maximum possible diameter:

Breadth = Diameter = 8 inches ( given )

Radius = half of diameter , $r =\frac{d}{2} =\frac{8}{2} = 4\ inches$

$Area \ of\ circle =\pi r^{2}$

$=\frac{22}{7} \times4\times4\\=\frac{352}{7} =50.285\ square\ inches$

Therefore, area of the largest circle she could make is 50.29 square inches.

4 0

4 years ago

SHOW WORK PLEASE THANKS

bixtya [17]

Answer:

Equation: $36=4s$

Solution: $s=9$

Step-by-step explanation:

A square is a quadrilateral that has four equal sides and four equal angles that measure 90 degrees (An angle that measures 90 degrees is also known as "Right triangle".

By definition, the perimeter of a square can be calculated by multiplying the length of any of its sides by 4 (because all its sides are congruent, as it was explained before).

In this case, you know that the perimeter of this square is 36 feet.

Then, you can write the following equation to model this situation:

$36=4s$

Where "s" is the length of any side of the square.

Then, you need to solve for "s" in order to find its value. Divide both sides of the equation by 4.

You get that it is:

$\frac{36}{4}=\frac{4s}{4}\\\\s=9$