The area of a rectangle is 256.5m.  If the length is 18m what is the perimeter of the rectangle?

Answer:

Angles are either 55° or 125°.

Step-by-step explanation:

See the attached diagram.

Let aa' and bb' are two parallel straight lines and cc' is a transversal that meets aa' at o and bb' at o' points.

Now, ∠coa' + ∠coa =180° ..... (1)

Assume by the condition given ∠coa' = x and ∠coa = x+70

Hence, from equation (1), 2x + 70 = 180

⇒ x = 55°

Then ∠coa' =55° and ∠coa = 70+55 = 125°

So, ∠o'oa' = 125° as ∠coa = ∠ o'oa' {Opposite angles}

Again, ∠aoo' = 55° as ∠coa' = ∠aoo' {Opposite angles}

Now, ∠coa' = ∠oo'b' {Corresponding angles} = 55°

and ∠bo'c' = ∠oo'b' = 55° {Opposite angles}

Again ∠oo'b = ∠coa = 125° {Corresponding angles}

and ∠b'o'c' = ∠oo'b =125° {Opposite angles}

(Answer)

Answer:

The 4 angles formed in each case are: , , and .

Step-by-step explanation:

Line c being transversal implies that it forms 4 angles with lines a and b individually of which 2 in each case are opposite angles, thus are equal.

Let one of the angles be represented by , but the other is greater by , so that =  ( + )

Thus, we have;

    + + ( + ) + ( + ) =    ( the sum of angles at a point)

      + + + + + =

 +   =

= -

=

Divide both sides by 4,

=

The other angle is calculated thus,

   ( + ) = +

                 =

Thus the 4 angles formed in both cases have the values; , , and .

Answers:

The amount of potassium from black beans is 510 mg

The total amount of potassium needed daily is 3400 mg

Explanation:

1- getting the total amount of potassium needed daily:

Assume that the total amount needed daily is x

We know that:

We can get 15% of the potassium needs from half a cup of black beans.

This means that:

remaining amount = 100% - 15% = 85%

We are given that the remaining amount is 2890 mg, therefore:

85% x = 2890 mg

0.85x = 2890 mg

x = 3400 mg of potassium

2- getting the amount of potassium in black beans:

We know that:

one half of a cup provides 15% of the daily needs

We have calculated that:

Total daily need = 3400 mg

Therefore:

half a cup would provide = 15% * 3400

half a cup would provide = 0.15 *3400

half a cup would provide = 510 mg of potassium

Hope this helps :)

Hence surface area of figure is  option d-174

What is surface area ?

The surface area of an object is the entire area filled by its surfaces. Varying 3D shapes have different surface areas in geometry, which may readily be determined using the formulas we'll learn in this lesson. The surface area is divided into two groups  lateral and total.

How to solve ?

the figure contains 3 , 3-d figures

one cube-3 m each,

1 cuboid-legth-9 m,height-3m-breadth-2 m,

1 cuboid- length-5 m, breadth-2m,height-2 m

hence surface area of 3 figures=

cube==24

cuboid=2(lb+bh+hl)=2(10+4+10)=48

cuboid=2(lb+bh+hl)=2(18+6+27)=102

add all we get =174

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Answer:

Correct answer is C. 162 m2

Step-by-step explanation: