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3 years ago

Can someone tell me what’s going on here

Mathematics

1 answer:

lora16 [44]3 years ago

8 0

Answer:

c = 105 degres

Step-by-step explanation:

When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.

If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.

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The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?

Lunna [17]

Answer:

81 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

Area of a rectangle is given by the following equation:

Area = Length × Width

A = L × W

With the above formula, we can obtain the width of the rectangular field as follow:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

A = L × W

7371 = 91 × W

Divide both side by 91

W = 7371 / 91

W = 81 m

Thus, width of the rectangular field is 81 m

4 0

3 years ago

State the horizontal asymptote of the rational function. f(x) = x^2 + 9x-9/x-9

dusya [7]

Answer:

no horizontal asymptote

5 0

3 years ago

Find the sum of the first six terms of the sequence. S6 = ⇒ 84

k0ka [10]

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first n terms is:

$\text{Sum of n terms}=\frac{n(n+1)}{2}$

$\text{Sum of first 6 terms}=\frac{6(6+1)}{2}$

$=3\times7\\=21$

Consider the series is an arithmetic sequence.

Sum of first n terms is:

$S_{n}=\frac{n}{2} [2a+(n-1)d]$

Here,

a = first term

d = common difference

Consider the series is an geometric sequence.

Sum of first n terms is:

$S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}$

Here,

a₁ = first term

r = common ratio

7 0

3 years ago

A rectangle has an area of 20 square feet a similar rectangle has an area of 180 square feet what is ratio of the areas of these

Evgen [1.6K]

Answer:

The ratio of the areas of the smaller rectangle to the larger rectangle is $\frac{1}{9}$

Step-by-step explanation:

we know that

if two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale factor

x-----> the area of the smaller rectangle

y----> the area of the larger rectangle

$z^{2}=\frac{x}{y}$

substitute the values

$z^{2}=\frac{20}{180}$

simplify

$z^{2}=\frac{1}{9}$

That means, the area of the larger rectangle is 9 times the area of the smaller rectangle

$z=\frac{1}{3}$ ------> the scale factor

That means, the dimensions of the larger rectangle is 3 times the dimensions of the smaller rectangle

7 0

3 years ago

Write the equation of a line in the given form.

Gnom [1K]

Answer:

$y = \frac{1}{4}x - 5$

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (-5 - (-4)) / (0 - 4)

= -1 / -4

= 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

$-5 = \frac{1}{4}(0) + b$

b = -5

Now use the above slope and y intercept to create equation of a line:

$y = \frac{1}{4}x - 5$

3 0

3 years ago