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3 years ago

What is measure of angle R?

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

Angle R can be solved using the inverse sine button on a calculator. Sine is y/r so opposite leg over the hypotenuse. For r, the opposite leg is 5cm and the hypotenuse is 13. The inverse sin button looks like sin^-1. Punch that in the calculator (make sure in degree mode). Punch the inverse sin and then 5/13 and you should get 22.62°

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Find the maxium valve C=6x+2y. Subject to the following constraints x≥0, x≤5, y≥0, 4x-y≥1

Vadim26 [7]

Answer:

The maximum value of C is 68

Step-by-step explanation:

we have the following constraints

$x\geq 0$ ----> constraint A

$x\leq 5$ ----> constraint B

$y\geq 0$ ----> constraint C

$4x-y\geq 1$ ----> constraint D

Find out the area of the feasible region, using a graphing tool

The vertices of the feasible region are

(0,0),(5,19),(5,0)

see the attached figure

To find out the maximum value of the objective function C, substitute the value of x and the value of y of each vertex in the objective function and then compare the results

$C=6x+2y$

For (0,0) -----> $C=6(0)+2(0)=0$

For (5,19) -----> $C=6(5)+2(19)=68$

For (5,0) -----> $C=6(5)+2(0)=30$

therefore

The maximum value of C is 68

8 0

3 years ago

The length of a rectangle is 1 foot more than twice the width the perimeter is 44 feet find the dimensions of the rectangle

Annette [7]

The length of rectangle is 15 feet and width is 7 feet.

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = 2w+1

Perimeter = 44 feet

Perimeter = 2(Length+Width)

$Perimeter=2(2w+1+w)\\44=2(3w+1)\\44=6w+2\\44-2=6w\\42=6w\\6w=42$

Dividing both sides by 6

$\frac{6w}{6}=\frac{42}{6}\\w=7$

The width of rectangle is 7 feet.

Length of rectangle = 2(7)+1 = 14+1 = 15 feet

The length of rectangle is 15 feet and width is 7 feet.

Keywords: rectangle, perimeter

Learn more about rectangles at:

#LearnwithBrainly

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4 years ago

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Svet_ta [14]

An obtuse angle which is greater than 90 degrees and less than 180 degrees.

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4 years ago

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DerKrebs [107]

Answer:

Step-by-step explanation:

A por que es la respuesta correcta

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2 years ago

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Y= -x^2+2x+1 <br>i need help understanding

Eddi Din [679]

Answer:

Does not factor; domain = -∞<x<∞, range = f(x) ≤ 2.

Step-by-step explanation:

Assuming your end goal is to factor the polynomial

$y=-x^{2} +2x+1$

If we use the guess and check method we can see that there is no way to factor this polynomial.

However, if you are looking for a domain and range we can graph it on a graphing calculator. Just by looking at the graph, we can see that the domain is all real numbers, or -∞<x<∞, and the range is f(x) ≤ 2.

I hope this helped!

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