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3 years ago

Please help again! Please

Mathematics

1 answer:

Troyanec [42]3 years ago

6 0

1 glass of juice cost $3

1 glass of limonade costs $2

So the proportion between them (Orange) / (juice) = 3/2 or 3¹/₂

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Which equation represents a circle with a center at (–4, 9) and a diameter of 10 units?

ale4655 [162]

Answer:

(x + 4)^2 + (y – 9)^2 = 25

Step-by-step explanation:

The standard form for a circle is

$(x - h)^{2} + (y - k)^{2} = r^{2}$ where (h, k) is the center and r is the radius

In your case, h = -4 and k = 9 and r = 5

So, (x + 4)^2 + (y – 9)^2 = 25

7 0

3 years ago

Read 2 more answers

from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the

Rashid [163]

Answer:

Step-by-step explanation:

If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.

We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,

$tan(49)=\frac{18.5}{x}$ and

$x=\frac{18.5}{tan(49)}$ and on your calculator in degree mode, you will find that

x = 16.08 m

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4 0

3 years ago

Does the given value make the inequality true? x + 9 > 21, when x = 15

Verizon [17]

Answer:

yes, the inequality is true.

Step-by-step explanation:

15 + 9 = 24

24 > 21

5 0

3 years ago

If the price of a business math text rose to $120 and this was 10% more than the original price what was the original selling pr

kolezko [41]

Step-by-step explanation:

120*10% =12

10% percent *120

= (10/100)*120

= (10*120)/100

= 1200/100 = 12

120 - 12 = 108.00 is original price of math text

5 0

2 years ago

The function, f(x) = –2x2 + x + 5, is in standard form. The quadratic equation is 0 = –2x2 + x + 5, where a = –2, b = 1, and c =

avanturin [10]

Given:

The function, f(x) = -2x^2 + x + 5

Quadratic equation: 0 = -2x^2 + x +5
where a = -2
b = 1
c = 5

The discriminate b^2 - 4ac = 41

To solve for the zeros of the quadratic function, use this formula:

x = ( -b +-√ (b^2 - 4ac) ) / 2a

x = ( 1 + √41 ) / 4 or 1.85
x = ( 1 - √41 ) / 4 or -1.35

Therefore, the zeros of the quadratic equation are 1.85 and -1.35.

4 0

3 years ago

Read 2 more answers