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Olegator [25]
3 years ago
15

Clara has 6x - 7 pairs of shoes while Daniel has 2x + 3 pairs of shoes. How many more pairs of shoes does Clara have than Daniel

? Evaluate the expression if the value of x is plz pzl help me i will give brianlist i beg
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0

Step-by-step explanation:

This is a binomial subtraction problem.

(6x-7)-(2x+3)

Binomial subtraction problems require one to phrase the problem as addition by flipping the signs.

(6x-7)+(-2x-3)

Now we can simplify:

6x-7-2x-3

4x-7-3

4x-10

So the answer is 4x-10 more pairs of shoes than Daniel.

See if that works.

Hope this helps!

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147 ants

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Suppose that θ is an acute angle of a right triangle and that sec(θ)=52. Find cos(θ) and csc(θ).
insens350 [35]

Answer:

\cos{\theta} = \dfrac{1}{52}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

Step-by-step explanation:

To solve this question we're going to use trigonometric identities and good ol' Pythagoras theorem.

a) Firstly, sec(θ)=52. we're gonna convert this to cos(θ) using:

\sec{\theta} = \dfrac{1}{\cos{\theta}}

we can substitute the value of sec(θ) in this equation:

52 = \dfrac{1}{\cos{\theta}}

and solve for for cos(θ)

\cos{\theta} = \dfrac{1}{52}

side note: just to confirm we can find the value of θ and verify that is indeed an acute angle by \theta = \arccos{\left(\dfrac{1}{52}\right)} = 88.8^\circ

b) since right triangle is mentioned in the question. We can use:

\cos{\theta} = \dfrac{\text{adj}}{\text{hyp}}

we know the value of cos(θ)=1\52. and by comparing the two. we can say that:

  • length of the adjacent side = 1
  • length of the hypotenuse = 52

we can find the third side using the Pythagoras theorem.

(\text{hyp})^2=(\text{adj})^2+(\text{opp})^2

(52)^2=(1)^2+(\text{opp})^2

\text{opp}=\sqrt{(52)^2-1}

\text{opp}=\sqrt{2703}

  • length of the opposite side = √(2703) ≈ 51.9904

we can find the sin(θ) using this side:

\sin{\theta} = \dfrac{\text{opp}}{\text{hyp}}

\sin{\theta} = \dfrac{\sqrt{2703}}{52}}

and since \csc{\theta} = \dfrac{1}{\sin{\theta}}

\csc{\theta} = \dfrac{52}{\sqrt{2703}}

4 0
3 years ago
Helppppp please. I am stumped..
vichka [17]

Answer:

D

Step-by-step explanation:

w = width

length = w + 0.6

A = l · w

A = w (w + 0.6)

A = w² +.6w

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tatuchka [14]

Answer: subtract 10

Step-by-step explanation: 25 - 10 =15

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