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insens350 [35]
2 years ago
5

Giving brainliest! View image!

Mathematics
1 answer:
Tatiana [17]2 years ago
3 0

Answer:

58%

Step-by-step explanation:

10*5=50

7*3=21

21/50 chance to choose inside small rectangle

21/50*2 = 42/100 chance to choose inside small rectangle

100-42=58%

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The figure represents the shape of a kitchen floor. What is the area? (round to the nearest hundredth)
Murljashka [212]
We would divide the shape into a rectangle and a trapezium

The rectangle is of length, 24.5 ft and width 10.75 ft

Area =  24.5 * 10.75 = 263.375 square feet.


Trapezium :  Parallel sides are 18.5 ft and 24.5 ft
Height:  12 - 10.75 = 1.25ft

Area of Trapezium = (1/2)*(Sum of Parallel sides)*height

                            = 1/2 * (18.5+24.5)* 1.25
                            = 1/2 * 43* 1.25 = 26.875     

Total Area = Area of Rectangle + Area of Trapezium

               =  263.375 + 26.875   = 290.25

Area = 290.25 ft²     (D)
5 0
3 years ago
Read 2 more answers
Which of the following is equivalent to tan2θcos(2θ) for all values of θ for which tan2θcos(2θ) is defined?
Aloiza [94]

Answer:

2sin²θ - tan²θ

Step-by-step explanation:

Given

tan²θcos(2θ)

Required

Simplify

We start by simplifying cos(2θ)

cos(2θ) = cos(θ+θ)

From Cosine formula

cos(A+A) = cosAcosA - sinAsinA

cos(A+A) = cos²A - sin²A

By comparison

cos(2θ) = cos(θ+θ)

cos(2θ) = cos²θ - sin²θ ----- equation 1

Recall that cos²θ + sin²θ = 1

Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

cos(2θ) = cos²θ - (1 - cos²θ)

cos(2θ) = cos²θ - 1 +cos²θ

cos(2θ) = cos²θ + cos²θ - 1

cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

tan²θ(2cos²θ - 1)

Open brackets

2cos²θtan²θ - tan²θ

------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ =  sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

2cos²θtan²θ - tan²θ becomes

2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

Option E is correct

7 0
3 years ago
I need super, duper, help. -9 +(-1) 2 squared
riadik2000 [5.3K]

Answer:

-11

Step-by-step explanation:

-9 +(-1) 2

-9 - 1 x 2

-9 - 2

-11

4 0
3 years ago
Read 2 more answers
Which sentence is the most accurate definition of an identity?
olga2289 [7]

The <em>correct answer</em> is:


An identity is an equation that is true for all real numbers.


Explanation:


An identity is a mathematical statement that is always true. It does not matter what numbers you substitute in for the variables, the result will be the same.

7 0
3 years ago
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Mrs. Golub wants to share $7.20 equally among her three grandchildren. How much money should each grandchild get?
wlad13 [49]

Answer: $2.40

Step-by-step explanation:

$7.20 divided by 3.

7 0
3 years ago
Read 2 more answers
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