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kipiarov [429]
2 years ago
9

–2|u| = –68 ill give 5 oints

Mathematics
1 answer:
german2 years ago
8 0

The solution to the given equation –2|u| = –68 is u = 34, -34.

<h3>What is the solution to the equation?</h3>

Given the equation in the question;

–2|u| = –68

To find u, divide both sides by -2

–2|u| = –68

(–2|u|)/2 = (–68)/-2

|u| = 34

Remove the absolute value term, this create ± on the right side of the equation. ( |x| = ±x )

u = ±34

Hence,

u = 34, -34

Therefore the solution to the given equation –2|u| = –68 is u = 34, -34.

Learn more about absolute values here: brainly.com/question/1301718

#SPJ1

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The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
olga nikolaevna [1]

Answer:

The volume of the cone is;

100 π inches^3

Step-by-step explanation:

To calculate the volume, we need the height

We can get the height from the slant height and the radius

Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle

The right-angled triangle has the slant height as its hypotenuse

By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

Let the height be h

Thus;

12^2 = 5^2 + h^2

169= 25 + h^2

h^2 = 169-25

h^2 = 144

h = √1144 inches = 12 inches

The volume of the cone is;

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= 1/3 * π * 5^2 * 12

= 100 π inches^3

4 0
3 years ago
A major baseball diamond is a square with side lengths of 90 feet.
iren2701 [21]

Answer: \bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square.  Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}

7 0
3 years ago
the width of a rectangle is 1 units less than the length. the area of the rectangle is 56 units. what is the width, in units, of
Oksana_A [137]
Answer: Length = 8 units, Width = 7 units
8 0
3 years ago
You know that 15% of a number n is 12. How can you use this to find 30% of n? 45% of n? Explain.
Keith_Richards [23]
30% is 24
45% is 36
take 15% and multiply it by however much it takes to make the percentage than multiply that by 12
5 0
3 years ago
HELPPP THIS IS DUE IN 2 HOURS PLZZZZZ HELPPP I WILL GIVE BRAINLIST
Temka [501]

Answer

Input= 5

Output= 120

Step-by-step explanation:

The input goes up by 1, so m=5

The output shows how many hours there are in that many days so blank=120

6 0
3 years ago
Read 2 more answers
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