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3 years ago

13

Cos X Y 12 X 16 20 Z 4 A) 3/4 B) 4/3 C)3/5 D) 5/4

1 answer:

yanalaym [24]3 years ago

5 0

Answer:

C.

$\cos X = \frac{12}{20} \\ = \frac{3}{5}$

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Alekssandra [29.7K]

there are 360 degrees in a complete circle

360/18 = 20

so the answer is C

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3 years ago

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What is the value of x?

grin007 [14]

Answer:

Hello! answer: x = 15

Step-by-step explanation:

Here is a visual i created of what the complementary angle would look like!

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3 years ago

How to solve 2 divided by 1/7

Ivahew [28]

Answer:

14

Step-by-step explanation:

You can put it as a fraction like so:

2/1 divided by 1/7

Use the strategy KCF (Keep, Change, Flip)

2/1 x 7/1

=2x7

=14

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3 years ago

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4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

Imagine a population of birds with an initial size of 100, a per-capita birth rate of 2, and a per-capita death rate of 1 per ye

Soloha48 [4]

Answer:

3200

Step-by-step explanation:

Given that:

The initial population of birds $N_0$ = 100

The time duration t = 5 years

Growth rate (r) = (Birth - Death) rate

= 2 - 1

= 1 / year

∴

using the discrete-time form:

$N_t = N_o (1 + r )^t$

$N_t = 100 (1 + 1 )^5$

$N_t = 100 (2 )^5$

$N_t = 100 \times 32$

$N_t = 3200$

8 0

2 years ago