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2 years ago

Using the diagram below and with reference to the angle θ, state the length of the opposite side.

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

6 0

53.1

Step by step explanation This is how I got the answer to your question and I gave you the solution I hope this helps you out

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Plot the vertex, focus, and directrix for the parabola represented by this equation. X=-1/12(y-2)^2+1

alukav5142 [94]

The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.

<h3>What is a parabola?</h3>

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a parabola equation:

$\rm x = -\dfrac{1}{12}(y-2)^2+1$

The standard form of the parabola:

$\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h$

(h, k) is the vertex of the parabola and (f, k) is the focus.

$\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1$

h = 1, k =2, and f = -2

The directrix is x = 4

Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ1

5 0

2 years ago

Mandy is selling pancakes and waffles at her diner. On Monday she sold a total of 300 pancakes and waffles. If she charges $3 pe

elena-s [515]

Answer:

Mandy sold 250 pancakes and 50 waffles.

Step-by-step explanation:

From the information given, you can say that the sum of pancakes and waffles is equal to 300:

x+y=300

Also, the statement indicates that she charges $3 per pancake, $1 per waffle, and made a total of $800 and you can express this as:

3x+y=800

You have the following equations:

x+y=300 (1)

3x+y=800 (2), where:

x is the number of pancakes she sold

y is the number of waffles she sold

Now, you can solve for x in (1):

x=300-y (3)

Then, you can replace (3) in (2):

3(300-y)+y=800

900-3y+y=800

900-800=2y

100=2y

y=100/2

y=50

Finally, you can replace the value of y in (3) to find x:

x=300-50

x=250

According to this, the answer is that Mandy sold 250 pancakes and 50 waffles.

5 0

3 years ago

A bus travels 36 miles in 45 minutes. Enter the number of miles the bus travels in 60 minutes at this rate.

kompoz [17]

Answer:

The answer would be 48 miles in 60 minutes. I hope that helps!

Step-by-step explanation:

36 x 60 = 2160

45n = 2160

n = 48

8 0

3 years ago

Read 2 more answers

a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a squ

sveta [45]

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

$\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}$

$\text{Number of possible sets}=\dfrac{250}{8}$

$\text{Number of possible sets}=31.25$

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

$\text{Number of possible sets}\approx 31$

Therefore, the number of possible sets at the dance is 31.

7 0

3 years ago

PLz help me this is 7th grade math

UkoKoshka [18]

Answer:

g = 118°, h = 62°, k = 140°, m = 40°

Step-by-step explanation:

g = 118°

h = 180 - 118 = 62°

k = 140°

m = 180 - 140 = 40°

5 0

3 years ago