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2 years ago

The sum of one-third of a number and 10 is equal to 13. What is the number?

Mathematics

1 answer:

SOVA2 [1]2 years ago

3 0

Answer:

Step-by-step explanation:

1/3 plus 10 equals 10.33333 but if you were to divide 1/3 by 9 you get three

3 +10 =13

hope this helps plz mark brainliest

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What is the measure of angle x? (Brainly + Bonus points for the best correct answer and explain)

kobusy [5.1K]

Answer: 76

Step-by-step explanation:

If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.

6 0

2 years ago

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

Suppose account numbers for an internet service provider consist of alpha-numeric characters. The first character is a digit (0

Amiraneli [1.4K]

Answer:

20,442,240 account numbers are possible.

Step-by-step explanation:

The first character has 10 possible values.

The next 2 has 26 * 26 = 676 possible combinations.

The last 4 has 9*8*7*6 = 3024 possible combinations.

So the answer is 10 * 676 * 3024

= 20,442,240.

6 0

1 year ago

Solve systems of equations for y and x: −5y + 8x = −18 5y + 2x = 58

Natali5045456 [20]

Answer:

(4, 10)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-5y + 8x = -18

5y + 2x = 58

Step 2: Solve for x

Elimination

Combine 2 equations: 10x = 40
[Division Property of Equality] Divide 10 on both sides: x = 4

Step 3: Solve for y

Substitute in x [Original equation]: -5y + 8(4) = -18
Multiply: -5y + 32 = -18
[Subtraction Property of Equality] Subtract 32 on both sides: -5y = -50
[Division Property of Equality] Divide -5 on both sides: y = 10

7 0

2 years ago

Consider a circle whose size can vary. Let r represent the radius of the circle (in cm) and let C represent the circumference of

Firdavs [7]

Answer:

$g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm

if $g (a) = 15$ , then a represents the circumference (in cm) of a circle whose radius is 15cm

Step-by-step explanation:

In a circle the following relationship can be posed:

$C = 2 \pi r$

Let g be a function that determines the radius of the circle from the value of its circumference, so, you have:

$g (C) =\frac{C}{2\pi}$

Thus, $g (15)$ represents the radius (in cm) of a circle whose circumference is 15 cm. You have to $g (15) =\frac{15}{2\pi}$ .

On the other hand, if $g (a) = 15$ , then $a$ represents the circumference (in cm) of a circle whose radius is 15cm. You have to $a=2 \pi(15) = 30 \pi$

4 0

2 years ago