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pantera1 [17]
3 years ago
9

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
posledela3 years ago
7 0
1n^4 1n^3.....im not sire if this is correct sorry if it's wrong.
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The supplement of an angle is four times the complement of the angle find the measure of the complement
Morgarella [4.7K]

Answer:

The measure of the complement is 30°

Step-by-step explanation:

we know that

Two angles are supplementary if their sum is equal to 180 degrees

Two angles are complementary if their sum is equal to 90 degrees

Let

x -----> the measure of an angle

we know that

180°-x=4(90°-x)

Solve for x

180°-x=360°-4x

4x-x=360°-180°

3x=180°

x=60°

Find the complement

90°-x=90°-60°=30°

8 0
2 years ago
Read 2 more answers
Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x3 and y = x. (10 points)
USPshnik [31]
See the graph attached.

The midpoint rule states that you can calculate the area under a curve by using the formula:
M_{n} = \frac{b - a}{2} [ f(\frac{x_{0} + x_{1} }{2}) +  f(\frac{x_{1} + x_{2} }{2}) + ... +  f(\frac{x_{n-1} + x_{n} }{2})]

In your case:
a = 0
b = 1
n = 4
x₀ = 0
x₁ = 1/4
x₂ = 1/2
x₃ = 3/4
x₄ = 1

Therefore, you'll have:
M_{4} = \frac{1 - 0}{4} [ f(\frac{0 +  \frac{1}{4} }{2}) +  f(\frac{ \frac{1}{4} + \frac{1}{2} }{2}) +  f(\frac{\frac{1}{2} + \frac{3}{4} }{2}) + f(\frac{\frac{3}{4} + 1} {2})]
M_{4} = \frac{1}{4} [ f(\frac{1}{8}) +  f(\frac{3}{8}) +  f(\frac{5}{8}) + f(\frac{7}{8})]

Now, to evaluate your f(x), you need to look at the graph and notice that:
f(x) = x - x³

Therefore:
M_{4} = \frac{1}{4} [(\frac{1}{8} - (\frac{1}{8})^{3}) + (\frac{3}{8} - (\frac{3}{8})^{3}) + (\frac{5}{8} - (\frac{5}{8})^{3}) + (\frac{7}{8} - (\frac{7}{8})^{3})]

M_{4} = \frac{1}{4} [(\frac{1}{8} - \frac{1}{512}) + (\frac{3}{8} - \frac{27}{512}) + (\frac{5}{8} - \frac{125}{512}) + (\frac{7}{8} - \frac{343}{512})]

M₄ = 1/4 · (2 - 478/512)
     = 0.2666

Hence, the <span>area of the region bounded by y = x³ and y = x</span> is approximately 0.267 square units.

6 0
3 years ago
What is the approximate area that is shaded red?
Mashcka [7]

To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.


Area of a rectangle:

A = l × w             [ l = 11 in ; w = 6in ]    Plug these numbers into the equation

A = 11 · 6

A = 66 in²


Area of a triangle:

A=\frac{1}{2}bh     [ b = 4 in ; h = 6 in ] Plug these #s into the equation

A = \frac{1}{2}(4)(6)

A=\frac{24}{2}

A = 12 in²


Area of rectangle - Area of triangle = Area of the shaded region

66 in² - 12 in ² = 54 in²


Your answer is B

3 0
3 years ago
There is a group of 10 people ordering pizza. If each person
VashaNatasha [74]

Answer:

4

Step-by-step explanation:

If ten people each get three slices, they will need 30 pieces.

10 x 3 = 30

Each pizza has 8 slices, so we divide 30 by 8 to get the number of pizzas needed.

30 / 8 = 3.75

You can't buy 3.75 pizzas, so you must get 4 to ensure everyone gets enough.

4 0
3 years ago
Read 2 more answers
Find x<br> Solve the simultaneous equations<br> 3x + 2y = 27<br> 3x – y=9
Juli2301 [7.4K]

Answer:

I think it is this because it seems as if It is 2 separate equations.

a.x=9-2y/3

b.x=3+y/3

8 0
2 years ago
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