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2 years ago

Type the integer that makes the following addition sentence true:

Mathematics

1 answer:

enot [183]2 years ago

3 0

Answer:

Step-by-step explanation:

Add 36 to both sides of the equation:

36 -36 + ___ = 36 +57

0 + ___ = 93

___ = 93

The integer 93 goes in the blank.

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Need help with question 15

GarryVolchara [31]

Answer:

$k=110$

Step-by-step explanation:

Part 15) we know that

$n=klog(A)$

Solve for k

That means ----> isolate the variable k

$k=n/log(A)$

we have

$n=440\ wolves$

$A=10,000\ mi^{2}$

substitute

$k=440/log(10,000)$

$k=110$

4 0

3 years ago

Dana is buying Grandparents' Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends 4/5 of that on

marysya [2.9K]

The total money Dana spent in all is $24.75

<h3>Ratio and proportions</h3>

Ratio are written as fractions of two integers. For instance a/b.

Amount spent for grandmother = $13.75

Amount spent on grand father = 4/5 * 13.75

Amount spent on grand father = $11

Take the sum

Total money spent = $13.75 + $11

Total money spent = $24.75

Hence the total money Dana spent in all is $24.75

Learn more on proportion here: brainly.com/question/19994681

#SPJ1

7 0

2 years ago

What is the 2nd term when −3f3 + 9f + 6f4 − 2f2 is arranged in descending order?

Brilliant_brown [7]

For this case we have the following polynomial:

$-3f ^ 3 + 9f + 6f ^ 4 - 2f ^ 2$

To answer the question, what we must do is rewrite the polynomial in its standard form.

We have then that the polynomial will be given by:

$6f ^ 4 - 3f ^ 3 - 2f ^ 2 + 9f$

Therefore, we have the ordered polynomial in descending form of exponents.

Therefore, the second term of the polynomial is:

$- 3f ^ 3$

Answer:

The second term of the polynomial is given by:

$- 3f ^ 3$

6 0

3 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

Whats he approximete value of the square root of 8

Neporo4naja [7]

Answer:

the approximate value of the square root of 8 is 2.828

8 0

3 years ago