All categories

3 years ago

The solution of d + s > -3 is d > -7. What is the value of s?

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

Answer:

The correct answer is that s > 4

Step-by-step explanation:

In order to find this, we can stick the -7 in for d and then solve the equation. This will leave us with a value for s.

d + s > -3

-7 + s > -3

s > 4

You might be interested in

Which scenario is best represented by the graph

Ilia_Sergeevich [38]

Answer:

A taxi travels at a constant speed of 50 miles per hour.

Hope this helps!

8 0

3 years ago

Read 2 more answers

Y = x + 2y = -2x + 2y = -3x + 2y = -5x + 2y = -

djverab [1.8K]

Answer:

152

Step-by-step explanation:

jtg djkgkjh uy eo y3oi4yio23 jdoie oi4h io

6 0

2 years ago

Please Help! This is a trigonometry question.

liraira [26]

$\large\begin{array}{l} \textsf{From the picture, we get}\\\\ \mathsf{tan\,\theta=\dfrac{2}{3}}\\\\ \mathsf{\dfrac{sin\,\theta}{cos\,\theta}=\dfrac{2}{3}}\\\\ \mathsf{3\,sin\,\theta=2\,cos\,\theta}\qquad\mathsf{(i)} \end{array}$

$\large\begin{array}{l} \textsf{Square both sides of \mathsf{(i)} above:}\\\\ \mathsf{(3\,sin\,\theta)^2=(2\,cos\,\theta)^2}\\\\ \mathsf{9\,sin^2\,\theta=4\,cos^2\,\theta}\qquad\quad\textsf{(but }\mathsf{cos^2\theta=1-sin^2\,\theta}\textsf{)}\\\\ \mathsf{9\,sin^2\,\theta=4\cdot (1-sin^2\,\theta)}\\\\ \mathsf{9\,sin^2\,\theta=4-4\,sin^2\,\theta}\\\\ \mathsf{9\,sin^2\,\theta+4\,sin^2\,\theta=4} \end{array}$

$\large\begin{array}{l} \mathsf{13\,sin^2\,\theta=4}\\\\ \mathsf{sin^2\,\theta=\dfrac{4}{13}}\\\\ \mathsf{sin\,\theta=\sqrt{\dfrac{4}{13}}}\\\\ \textsf{(we must take the positive square root, because }\theta \textsf{ is an}\\\textsf{acute angle, so its sine is positive)}\\\\ \mathsf{sin\,\theta=\dfrac{2}{\sqrt{13}}} \end{array}$

________

$\large\begin{array}{l} \textsf{From (i), we find the value of }\mathsf{cos\,\theta:}\\\\ \mathsf{3\,sin\,\theta=2\,cos\,\theta}\\\\ \mathsf{cos\,\theta=\dfrac{3}{2}\,sin\,\theta}\\\\ \mathsf{cos\,\theta=\dfrac{3}{\diagup\!\!\!\! 2}\cdot \dfrac{\diagup\!\!\!\! 2}{\sqrt{13}}}\\\\ \mathsf{cos\,\theta=\dfrac{3}{\sqrt{13}}}\\\\ \end{array}$

________

$\large\begin{array}{l} \textsf{Since sine and cosecant functions are reciprocal, we have}\\\\ \mathsf{sin\,2\theta\cdot csc\,2\theta=1}\\\\ \mathsf{csc\,2\theta=\dfrac{1}{sin\,2\theta}\qquad\quad\textsf{(but }}\mathsf{sin\,2\theta=2\,sin\,\theta\,cos\,\theta}\textsf{)}\\\\ \mathsf{csc\,2\theta=\dfrac{1}{2\,sin\,\theta\,cos\,\theta}}\\\\ \mathsf{csc\,2\theta=\dfrac{1}{2\cdot \frac{2}{\sqrt{13}}\cdot \frac{3}{\sqrt{13}}}} \end{array}$

$\large\begin{array}{l} \mathsf{csc\,2\theta=\dfrac{~~~~1~~~~}{\frac{2\cdot 2\cdot 3}{(\sqrt{13})^2}}}\\\\ \mathsf{csc\,2\theta=\dfrac{~~1~~}{\frac{12}{13}}}\\\\ \boxed{\begin{array}{c}\mathsf{csc\,2\theta=\dfrac{13}{12}} \end{array}}\qquad\checkmark \end{array}$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2150237

$\large\textsf{I hope it helps.}$

Tags: trigonometry trig function cosecant csc double angle identity geometry

8 0

3 years ago

a bag contains 5 grape tootsie pops and 8 chocolate tootsie pops. if juan pulls a chocolate tootsie pop out of the bag and eats

kipiarov [429]

Answer:

= 5 / 12

Step-by-step explanation:

Probability is an outcome of chance. It is a measure of outcomes of events.

To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.

Number of GRAPE Tootsie pops = 5

Number of CHOCOLATE Tootsie pops= 8

Total number of Tootsie pops = The sum of both Tootsie pops

Total number = 5 + 8

= 13.

Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.

Therefore:

The probability that the next pop he pulls out will be grape will be

Probability (Grape) = 5 / (13 -1)

= 5 / 12

The probability that the next Pop he pulls out will be a grape = 5/12

4 0

3 years ago

Add the polynomials. (3x3 - 3x2 - 4x + 9) +(6x2 +7x - 5)

bixtya [17]

Answer:

3x +19

Step-by-step explanation:

(9-6-4x+9)+(12+7x-5)

(12-4x)+(7+7x)

3x+19

6 0

2 years ago