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Lana71 [14]
2 years ago
15

8. In AABC, LA is a right angle and mzB = 45°. Find BC.

Mathematics
1 answer:
Margaret [11]2 years ago
7 0

Answer:

BC = 11\sqrt{2}

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin45° = \frac{1}{\sqrt{2} } , then

sin 45° = \frac{opposite}{hypotenuse} = \frac{AC}{BC} = \frac{11}{BC} = \frac{1}{\sqrt{2} } ( cross- multiply )

BC = 11\sqrt{2}

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Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a
Phantasy [73]

Answers:

  • Pizza Uno = $5.25
  • Pizza Duo = $5.60

Those are the costs for a whole small pizza.

==========================================================

Explanation:

Let

  • x = cost of whole small pizza from Pizza Uno
  • y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50

Multiply both sides by the reciprocal of 2/3 to isolate x

(2/3)*x = 3.50

(3/2)*(2/3)*x = (3/2)*3.50

x = 5.25

Pizza Uno charges $5.25 for a whole small pizza.

----------------------------

Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

(3/4)y = 4.20

We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

y = 5.60

Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

7 0
3 years ago
While in flight, a hot air balloon decreases its elevation by 83 2/5 meters and then increases its elevation by 83.7 meters
Pachacha [2.7K]

An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.

<h3>What is an elevation?</h3>

An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.

This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):

  • Less than (<).
  • Greater than (>).
  • Less than or equal to (≤).
  • Greater than or equal to (≥).

For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:

  • The lower limit is equal to: L - 83 2/5.
  • The upper limit is equal to: L + 83.7.

In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.

Read more on inequality here: brainly.com/question/6666926

#SPJ1

5 0
1 year ago
How do you do this question?
daser333 [38]

Answer:

B. 1/2

Step-by-step explanation:

\lim_{z \to 0} \frac{g(z)e^{-z}-3}{z^{2}-2z}

If we plug in 0 for z, we get 0/0.  Apply l'Hopital's rule.

\lim_{z \to 0} \frac{-g(z)e^{-z}+g'(z)e^{-z}}{2z-2}

Now when we plug in 0 for z, we get:

\frac{-g(0)e^{0}+g'(0)e^{0}}{2(0)-2}\\\frac{-g(0)+g'(0)}{-2}\\\frac{-3+2}{-2}\\\frac{1}{2}

4 0
2 years ago
The perimeter of a rectangle is 200 yards. what are the dimensions of the rectangle if the length is 80 yards more than the? wid
liq [111]
P = 2(L + W)
P = 200
L = W + 80

200 = 2(W + 80 + W)
200 = 2(2W + 80)
200 = 4W + 160
200 - 160 = 4W
40 = 4W
40/4 = W
10 = W.........the width is 10 yds
4 0
3 years ago
Amy went bowling at the Links Bowling Center. Shoe rental was $1.75 and games were $2.50 each. She has $20.00. What is the maxim
inna [77]

Answer:

She can play a total of 7 games.

8 0
2 years ago
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