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3 years ago

Step1. Formulate two real-life problems involving system of linear inequalities in

Mathematics

1 answer:

pav-90 [236]3 years ago

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WILL GIVE BRAINLIEST!!

sergeinik [125]

Answer: 5.196152423

Step-by-step explanation: Logically considering it's a Rhombus all the sides are equal to each other. So you just need to find the area. In this case you find the area by multiplying the sin of the given angle by the square root of the given side. So, 6²×sin (60)=6²×√3/2=31.17691454. After finding the area you then have to divide the area by it's base to find the height. So, 31.17691454 ÷ 6 = 5.196152423.

I didn't round any of the numbers. Hopefully this is correct.

Sorry about the messy diagrams (never been good at creating them) and how long it took.

4 0

3 years ago

Read 2 more answers

Please find the area and circumference of the circle with diameter 3.7cm

steposvetlana [31]

Answer:

Area: 10.7521 cm

Circumference: 11.62389 cm

________________________________________________________

<h3>Solve: Area</h3>

Area, <em>A,</em> will equal the formula of $\pi r^2$ , so we must find the value and split that up. Diameter, <em>d</em> is equal to 2<em>r</em>. Let's solve.

$A = \pi r^2$

$d = 2r$

Now, make an equation combining like terms.

$A = \frac{1}{4} \pi d^2$

This equation means to multiply those terms together. Since the diameter is 3.7, <em>d</em> is 3.7

$\frac{1}{4} * \pi * 3.7 = 10.8(estimate)~cm$

<em>Let's move on to circumference. On we go!</em>

________________________________________________________

<h3>Solve: Circumference</h3>

With circumference, it is very similar to what you just did to find area(<em>A</em>). You must again, set up these terms and make an equation out of them. C(circumference) is going to be equal to $\pi r$ , notice how it does not say <em>squared</em>( $^2$ ) at the end now.

$C = \pi r$

And diameter, you guessed it, will be 2r.

$d = 2r$

Now, combine the like terms into an equation.

$C = \pi d$ <em>pi times diameter</em>(3.7)

$\pi * d(3.7) = 11.6~cm$

Now that the problem is done, we move on to review.

________________________________________________________

<h3>What have we learned?</h3>

We learned how to solve for circumference and area using diameter.

________________________________________________________

<h3>Questions?</h3>

Feel free to ask in the comments.

4 0

3 years ago

What is the equation of the line that is parallel to y = -2x + 4 and goes through the point (1,7)? write your answer in slope-in

DiKsa [7]

7=-2(1)+b
7=-2+b
9=b

y=-2x+9

4 0

3 years ago

Makovka662 [10]

Answer:

∠ ADC = 100° , ∠ DCB = 39°

Step-by-step explanation:

(3y + 7) and ( 3y - 13) are angles on a straight line and sum to 180° , so

3y + 7 + 3y - 13 = 180

6y - 6 = 180 ( add 6 to both sides )

6y = 186 ( divide both sides by 6 )

y = 31

Then

∠ ADC = 3y + 7 = 3(31) + 7 = 93 + 7 = 100°

and

∠ BDC = 3y - 13 = 3(31) - 13 = 93 - 13 = 80°

∠ BDC = 180° - (61 + 80)° ← angle sum in Δ BCD = 180°

= 180° - 141°

= 39°

6 0

3 years ago

The length of a rectangle is one unit shorter than one-sixth of the width, x.

Lesechka [4]

To answer this question, you need to know the formula for calculating the perimeter of a rectangle and translating the description into the formula. The description formula should be:
width = x
length - 1 = 1/6 x
length= 1/6 x +1

Then adding them to perimeter formula you will get
perimeter= length * width
perimeter= 1/6x+ 1 * x= 1/6x^2 + x

7 0

3 years ago