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Dahasolnce [82]
3 years ago
9

What is the measerment of the missing angle? ​

Mathematics
2 answers:
Ede4ka [16]3 years ago
3 0

Answer:

80°

Step-by-step explanation:

Since they are vertical angles, they are congruent to each other.

∠r ≅ 80°

iren2701 [21]3 years ago
3 0

Answer : 80

Opposite angles have same size

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A park has a large circle painted in the middle of the playground area.thecircle is divided into 4 equal sections And each secti
lilavasa [31]

Answer:

The area of each section of the circle is 25\pi\ m^{2}

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

we have

r=10\ m

substitute

A=\pi (10^{2})=100\pi\ m^{2}

To find the area of each section divide the complete area of the circle by 4

so

100\pi\ m^{2}/4=25\pi\ m^{2}

8 0
3 years ago
What is the difference 1 1/4 - 3/8
kow [346]
5/8 is the difference if u make common denominators 
7 0
3 years ago
Read 2 more answers
A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 5 in. deep.
madreJ [45]

Answers:

(1 Question in written form): 7.2 inches.

(2 Question in the picture): Option (D) (y+1)^2=2(x+3) and  F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

Explanations:

1. (Question in written form):

First you need to know the standard form of a parabola (considering it opens in +x direction and the vertex of the parabola is at origin), which is as follows:

(y-k)^2 = 4p(x-h)

Since the vertex of the parabola is at origin, h = 0 and k = 0. The above equation will now become:

y^2 = 4px ---- (A)


Where p is the distance between the vertex and the focus of a parabola, which we need to find (or where the microphone should be placed).

As the vertex is assumed to be placed at the origin, the parabolic dish, which is 24 inches wide, will be split evenly on both sides of the y axis (as the opening of the parabola is in x-axis—stated above), giving the distance of 12 inches from each sides of y axis (12 inches + 12 inches = 24 inches). Since it (parabolic microphone) is 5 inches deep, the coordinates will become: (5, +12) and (5, -12).

Plug any of the points—(5,+12) or (5,-12)—in equation (A), you will get the following:

(12)^2 = 4p(5) \\ 144 = 4p(5) \\ \frac{144}{5} = 4p \\ \frac{144}{5*4} = p \\ p=7.2\thinspace inches

Hence, the correct answer is 7.2 inches.


2. (Question in the picture):

First we need to write the following equation in the standard form:

y^2 - 2x + 2y -5 = 0 ----- (B)


The standard form of parabola is:

(y-k)^2 = 4p(x-h) ----- (C)


Rearrange equation (B) and solve as follows:

y^2-2x+2y-5=0 \\ y^2 + 2y - 5 = 2x \\ y^2 + 2y +1 = 2x + 6 \\ y^2 + y + y + 1 = 2(x+3) \\ y(y+1)+1(y+1)=2(x+3)\\(y+1)^2=2(x+3)

You can write the above equation as follows:

(y-(-1))^2 = 4(\frac{1}{2})(x-(-3)) ----- (D)

Now compare equation (D) with (C), we will get:

Focus = (h+p, k) = (-3+(1/2), -1)

Focus: (\frac{-5}{2},-1)


Now, to find x, use the following formula:

x = h - p

x = -3-\frac{1}{2} = \frac{-7}{2}


Hence, the correct option is (D) -> F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

4 0
3 years ago
Put the following in order from least to greatest. 3/4, 66.66%, 5/7​
storchak [24]

Answer:

3/4=63/84

66.66%=56/84

5/7=60/84

⇒66.66%; 5/7; 3/4

Step-by-step explanation:

6 0
3 years ago
I want to bring my grade up so if anyone knows tell me
olga2289 [7]

Answer:

no

Step-by-step explanation:

You will have more time to do it, but no, try extra credit

Sorry mate hope this helps<3

5 0
3 years ago
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