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3 years ago

Find the value. Please

Mathematics

1 answer:

IgorC [24]3 years ago

7 0

The cosine ratio is adjacent leg divided by the hypotenuse.
The hypotenuse in a right triangle is the longest side and it is opposite the right angle.
An adjacent leg is the side that has an endpoint that is at the vertex of the angle and the other endpoint is at the vertex of the right angle.

cos A = $\frac{12}{20} = \frac{3*4}{5*4} = \frac{3}{5}$
ANSWER: $cosA= \frac{3}{5}$

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A basket contains 14 white eggs, 15 brown eggs, and 11 lemons. Taylor is in a hurry to make breakfast and picks something from t

kirill [66]

Probability is desired outcome over total possible outcomes.

14 white + 15 brown + 11 lemons = 40 outcomes

Desired outcome = white or brown egg: 14 + 15

Probability = 29/40 or 0.725 or 72.5%

7 0

4 years ago

Read 2 more answers

A rectangular field is to be enclosed by a fence and divided

Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0

3 years ago

Find the distance between A(1, -1) and B(4, 3).

Greeley [361]

Answer:

<h2>The answer is 5 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(1, -1) and B(4, 3)

The distance between them is

$|AB| = \sqrt{ ({1 - 4})^{2} + ({ - 1 - 3})^{2} } \\ = \sqrt{( { - 3})^{2} + ({ - 4})^{2} } \\ = \sqrt{9 + 16} \\ = \sqrt{25} \: \: \: \: \: \: \: \: \\ = 5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\$

We have the final answer as

<h3>5 units</h3>

Hope this helps you

8 0

3 years ago

Classify each system and determine the number of solutions

dsp73

Divide both sides of the equation by - 3
-8x+9y= - 14
-9y+8x=14
simplify the expression
-8x+9y=-14
8x-9y=14
then solve the equation for y
y=-14/9+8/9x
substitute the given value in the ordered pair (x, y)

8 0

4 years ago

Suzanne bought 50 apples at the apple Orchard. She bought 4 times as many red apples. How many more red apples than green apples

Mrac [35]

50 times 4 is 200 then you would subtract 50 from 200 and the answer is 150 more apples.

8 0

3 years ago

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