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m_a_m_a [10]
3 years ago
9

Y

Mathematics
2 answers:
alina1380 [7]3 years ago
8 0

Answer:

the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Step-by-step explanation:

The computation of the coordinates of the point is shown below:

The angle is

= 4π ÷ 3

The radius is 1 unit

Now

x = rcos\theta, and y = rsin\theta

Now

x = 1cos(4π ÷ 3) = -1÷ 2

y = 1sin(4π ÷ 3) = -√3÷ 2

hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2

34kurt3 years ago
4 0

Answer: x= -1/2 y= -root3/2

Step-by-step explanation:

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3. Brenda's school is selling tickets to a spring musical. On the first day of
Natalija [7]

Answer:

The Answer is that Senior Citizen Tickets cost: $4 and Child tickets cost: $7.

Step-by-step explanation:

Let s = the cost of senior citizen tickets

Let c = the cost of child tickets

The number of tickets sold for each type added together equals the sales for each day. Equations below:

Day 1

3s + 9c = $75

Solve for s:

3s = 75 - 9c

s = 25 - 3c

Day 2

8s + 5c = $67

By substitution:

8(25 - 3c) + 5c = 67

200 - 24c + 5c = 67

-19c = -133

c = -133 / -19 = $7 cost for child tickets.

Solve for s:

s = 25 - 3c

s = 25 - 3(7)

s = 25 - 21 = $4 cost for senior citizen tickets.

Proofs:

Day 1

3s + 9c = $75

3(4) + 9(7) = 75

12 + 63 = 75

75 = 75

Day 2

8s + 5c = $67

8(4) + 5(7) = 67

32 + 35 = 67

67 = 67

4 0
3 years ago
4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface
White raven [17]
4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

\sf (\dfrac{3}{4})^2=\dfrac{S}{96}

Simplify the exponent:

\sf \dfrac{9}{16}=\dfrac{96}{S}

Cross multiply:

\sf 9S=1536

Divide 9 to both sides:

\sf S\approx 170.7~m^2

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

\sf (\dfrac{3}{4})^3=\dfrac{720}{V}

Simplify the exponent:

\sf \dfrac{27}{64}=\dfrac{720}{V}

Cross multiply:

\sf 27V=46080

Divide 64 to both sides:

\sf V\approx 1706.7~m^3

5.

A globe is a sphere, use the formula for the volume of a sphere:

\sf V=\dfrac{4}{3}\pi r^3

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

\sf V=\dfrac{4}{3}(3.14)(20)^3

Simplify the exponent:

\sf V=\dfrac{4}{3}(3.14)(8000)

Multiply:

\sf V\approx \boxed{\sf 33,493~in^3}
6 0
3 years ago
Read 2 more answers
Help i’m taking a test and i’m being timed
Nuetrik [128]

Answer:

5.4

Step-by-step explanation:

Using the pythagorean theorem (a^2 + b^2 = c^2), we can do 2^2 plus 5^2, which is 4 + 25, which simplifies to 29. Now we have 29 = c^2

In order to find c (the hypotenuse), we need to take the square root of both sides to find c. Thus, c = sqrt 29 or 5.385...

Hope this helps!

4 0
3 years ago
What is the range of the function f(x) = 2 – 2 when the domain is {0, 2, 4}? O {-1, 2, 14} {3, 6, 8} {-2, 2, 6) All real numbers
devlian [24]

Answer:

F = 0

Step-by-step explanation:

F(x) = 2 - 2

fx/3 = 0/x

f=0

5 0
3 years ago
Read 2 more answers
Which expression(s) represent negative products? Check all that apply.
Dimas [21]
<span>7.71(–0.02)

</span><span>0.23(–1.1)

</span><span>–5.09(8.1)

The reason is because a negative * positive will always give a negative answer. Negative * negative and positive * positive will always have a positive answer.</span>
6 0
3 years ago
Read 2 more answers
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