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3 years ago

Write a subtraction that will give the same difference as 15-7

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

15 - 7 = 8 so there are many you can do like:
16 - 8 = 8
20 - 12 = 8
22 - 14 = 8
and so on, there are many.

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You have to write 0.33 as a fraction.how do you choose the denominator?

yaroslaw [1]

100 is the easiest because 1/100 =0.01
33/100=0.33

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=9%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B%20%5Csin%28%20%5Ctheta%29%20%7D%7B1%20%2B%20%20%5Ccos%28%2

PIT_PIT [208]

Option (b) is your correct answer.

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given Trigonometric expression is

$\rm :\longmapsto\:\dfrac{sin\theta }{1 + cos\theta }$

So, on rationalizing the denominator, we get

$\rm \: = \: \dfrac{sin\theta }{1 + cos\theta } \times \dfrac{1 - cos\theta }{1 - cos\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}}$

So, using this, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{1 - {cos}^{2}\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {sin}^{2}x + {cos}^{2}x = 1}}}$

So, using this identity, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{{sin}^{2}\theta }$

$\rm \: = \: \dfrac{1 - cos\theta }{sin\theta }$

<u>Hence, </u>

$\\ \red{\rm\implies \:\boxed{\tt{ \rm \:\dfrac{sin\theta }{1 + cos\theta } = \: \dfrac{1 - cos\theta }{sin\theta } }}} \\$

3 0

2 years ago

Read 2 more answers

Write a linear cost function for the situation. Identify all variables used. A parking garage charges 4 dollars plus 65 cents pe

Liono4ka [1.6K]

Answer:

The linear cost function is $C(x)=1.3x+4$ dollar.

Step-by-step explanation:

Given : A parking garage charges 4 dollars plus 65 cents per half-hour. A linear cost function for the situation is C(x)=L.

To find : Write a linear cost function for the situation ?

Solution :

Cost function is defined as sum of marginal cost and fixed cost.

Let x be the number of hours i.e. time for which parking cost.

A parking garage charges 4 dollars plus 65 cents per half-hour.

The fixed price is $4.

Marginal cost is 65 cents per half-hour.

Converting cents into dollar,

1 cent = 0.01 dollar

65 cent = 0.65 dollar

The cost of $\frac{1}{2}$ hour = $0.65

The cost of x hours = $0.65\times 2x$

So, marginal cost is $1.3x.

Cost function is defined as

$C(x)=MC+FC$

$C(x)=1.3x+4$

$C(x)=1.3x+4$ dollar.

Therefore, The linear cost function is $C(x)=1.3x+4$ dollar where x is the number of hours.

6 0

3 years ago

Kelsey is solving the inequality 17+4<9 17 + 4 x < 9 . To solve the inequality, she begins by solving the equation as show

Monica [59]

Answer:

an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle (since the sign is "left than")

Step-by-step explanation:

Given the inequalities

17+4x < 9

Subtract 17 from both sides

17+4x -19 < 9 - 17

4x < -8

Divide both sides by 4

4x/4 < -8/4

x < -2

To represent the solution on a number line, an open circle will be at -2(since the inequality sign does not include "equal to") and the line is drawn to the left of the circle.

6 0

3 years ago

Solve for x x^2 b+t=x^2 e

Naily [24]

x^2b + t = x^2e

x^2e - x^2b = t

x^2(e - b) = t

x^2 = t /(e -b)

x = √[t /(e -b)] or x = - √[t /(e -b)]

6 0

3 years ago

Read 2 more answers