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3 years ago

Write a mixed number as a fraction 1 7/10

Mathematics

2 answers:

alexgriva [62]3 years ago

5 0

Answer:

17/10

Step-by-step explanation:

Step 1:

Multiply the denominator by the whole number

10 × 1 = 10

Step 2:

Add the answer from Step 1 to the numerator

10 + 7 = 17

Step 3:

Write answer from Step 2 over the denominator

17/10

juin [17]3 years ago

4 0

17/10 is your answer good luck

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Thereare 30 students in mr.holland's music class.if 30% of the students play in the school band,how many students in the class p

stiv31 [10]

9 students in the class play in the school band.

30% of 30
Well, when doing a percentage you first turn the percentage into a decimal (move the % two units to the left). So 30% = 0.3

In math, the word of means multiplication, so: 0.3 x 30
Which equal 9.

You can also turn the percentage into a fraction, it's really up to preference.

30/100 of 30 = 3/10 of 30 = 3/10 x 30 = 3/10 x 30/1 = 9/1 or 9

6 0

3 years ago

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I have a bad memory,i learned this but I forgot it (I swear I'm not lying)

mihalych1998 [28]

Answer:

Step-by-step explanation:

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3 years ago

(2A) Find f(2x + 4) for f(x) = 1 - x2

Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients
Expanding (FOIL)

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x²

Step 2: Evaluate

Substitute in x [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
(Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
Combine like terms: f(2x + 4) = -4x² -16x - 15

8 0

2 years ago

9. A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

SSSSS [86.1K]

Answer:

Part 4) $r=84\ units$

Part 9) $sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) $sin(\theta)=-\frac{9\sqrt{202}}{202}$

Step-by-step explanation:

Part 4) A circle has an arc of length 56pi that is intercepted by a central angle of 120 degrees. What is the radius of the circle?

we know that

The circumference of a circle subtends a central angle of 360 degrees

The circumference is equal to

$C=2\pi r$

using proportion

$\frac{2\pi r}{360^o}=\frac{56\pi}{120^o}$

simplify

$\frac{r}{180^o}=\frac{56}{120^o}$

solve for r

$r=\frac{56}{120^o}(180^o)$

$r=84\ units$

Part 9) Given cos(∅)=-2/3 and ∅ lies in Quadrant III. Find the exact value of sin(∅) in simplified form

Remember the trigonometric identity

$cos^2(\theta)+sin^2(\theta)=1$

we have

$cos(\theta)=-\frac{2}{3}$

substitute the given value

$(-\frac{2}{3})^2+sin^2(\theta)=1$

$\frac{4}{9}+sin^2(\theta)=1$

$sin^2(\theta)=1-\frac{4}{9}$

$sin^2(\theta)=\frac{5}{9}$

square root both sides

$sin(\theta)=\pm\frac{\sqrt{5}}{3}$

we know that

If ∅ lies in Quadrant III

then

The value of sin(∅) is negative

$sin(\theta)=-\frac{\sqrt{5}}{3}$

Part 10) The terminal side of ∅ passes through the point (11,-9). What is the exact value of sin(∅) in simplified form?

see the attached figure to better understand the problem

In the right triangle ABC of the figure

$sin(\theta)=\frac{BC}{AC}$

Find the length side AC applying the Pythagorean Theorem

$AC^2=AB^2+BC^2$

substitute the given values

$AC^2=11^2+9^2$

$AC^2=202$

$AC=\sqrt{202}\ units$

$sin(\theta)=\frac{9}{\sqrt{202}}$

simplify

$sin(\theta)=\frac{9\sqrt{202}}{202}$

Remember that

The point (11,-9) lies in Quadrant IV

then

The value of sin(∅) is negative

therefore

$sin(\theta)=-\frac{9\sqrt{202}}{202}$

5 0

3 years ago

HELP! How do I solve this to find the x?

Dmitrij [34]

Answer:

97x

Step-by-step explanation:

97+x=97x

5 0

3 years ago

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