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3 years ago

Find the value of 9 in 6493

Mathematics

1 answer:

ankoles [38]3 years ago

8 0

The value of 9 is 90 because it is in the tens place.

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What is -7(x-2)=1=15-7x

Soloha48 [4]

Answer:

Step-by-step explanation:

Simplifying

-7(x + -2) + 1 = 15 + -7x

Reorder the terms:

-7(-2 + x) + 1 = 15 + -7x

(-2 * -7 + x * -7) + 1 = 15 + -7x

(14 + -7x) + 1 = 15 + -7x

Reorder the terms:

14 + 1 + -7x = 15 + -7x

Combine like terms: 14 + 1 = 15

15 + -7x = 15 + -7x

Add '-15' to each side of the equation.

15 + -15 + -7x = 15 + -15 + -7x

Combine like terms: 15 + -15 = 0

0 + -7x = 15 + -15 + -7x

-7x = 15 + -15 + -7x

Combine like terms: 15 + -15 = 0

-7x = 0 + -7x

-7x = -7x

Add '7x' to each side of the equation.

-7x + 7x = -7x + 7x

Combine like terms: -7x + 7x = 0

0 = -7x + 7x

Combine like terms: -7x + 7x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

3 0

2 years ago

The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the

Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

$V=\frac{1}{3}\pi r^2h$ , where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is $\frac{7}{2}$ cm.

$V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}$

$V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}$

$V=\frac{490\pi }{12}\text{ cm}^3$

$V=128.2817\text{ cm}^3$

Upon rounding to nearest tenth, we will get:

$V\approx 128.3\text{ cm}^3$

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0

3 years ago

16 is 32% of what number

PtichkaEL [24]

Let, the number = x
It would be: x * 0.32 = 16
x = 16 / 0.32
x = 50

In short, Your Answer would be 50

Hope this helps!

3 0

3 years ago

The sum of the digits of a certain two-digit number is 13. Reversing its digits decreases the number by 45. Find the number..

lesya [120]

Answer:

......................

5 0

3 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

(Used a table of common angles)

8 0

3 years ago