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SSSSS [86.1K]
3 years ago
12

Please solve with explanation

Mathematics
2 answers:
rewona [7]3 years ago
8 0

Answer:

Area = 160 sq cm

Perimeter = 67.31 cm

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 cm and 12 cm - Area of the right triangle with base and height ecah 8 cm.

=16*12 - 1/2 * 8 *8

= 192 - 32

= 160 sq cm

GEF is a right triangle.

Therefore, by Pythagoras theorem:

FG^2 = FE^2 + GE^2

\therefore FG^2 = 8^2 + 8^2

\therefore FG^2 = 64+64

\therefore FG^2 = 128

\therefore FG =\sqrt {128}

\therefore FG =11.3137085

\therefore FG = 11.31\: cm

Perimeter of the figure

= 12 + 16 + 12+4+8+11.31+4

= 67.31 cm

WINSTONCH [101]3 years ago
5 0

Answer:

56+8√2=8(7+√2)

Step-by-step explanation:

1. P= AB+BC+CD+DE+EF+FG+GA

2. AB=DC=12

BC=16

AG=ED=4

AG+ED+GE=16

4+4+GE=16

GE=16-8

GE=8

GF²= EF²+GE²

GF²=64+64

GF²=128

GF=8√2

3.P= 12+16+12+4+8+8√2+4= 56+8√2

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Answer:

I will do A for U

I have 5 apples then got 18 more, so how many apples do I now Have?

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4 0
3 years ago
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is
marysya [2.9K]

Answer:

(a) 0.14%

(b) 2.28%

(c) 48%

(d) 68%

(e) 34%

(f) 50%

Step-by-step explanation:

Let <em>X</em> be a random variable representing the prices paid for a particular model of HD television.

It is provided that <em>X</em> follows a normal distribution with mean, <em>μ</em> = $1600 and standard deviation, <em>σ</em> = $100.

(a)

Compute the probability of buyers who paid more than $1900 as follows:

P(X>1900)=P(\frac{X-\mu}{\sigma}>\frac{1900-1600}{100})

                   =P(Z>3)\\=1-P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid more than $1900 is 0.14%.

(b)

Compute the probability of buyers who paid less than $1400 as follows:

P(X

                   =P(Z

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid less than $1400 is 2.28%.

(c)

Compute the probability of buyers who paid between $1400 and $1600 as follows:

P(1400

                              =P(-2

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1400 and $1600 is 48%.

(d)

Compute the probability of buyers who paid between $1500 and $1700 as follows:

P(1500

                              =P(-1

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1500 and $1700 is 68%.

(e)

Compute the probability of buyers who paid between $1600 and $1700 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1700 is 34%.

(f)

Compute the probability of buyers who paid between $1600 and $1900 as follows:

P(1600

                              =P(0

*Use a <em>z</em>-table.

Thus, the approximate percentage of buyers who paid between $1600 and $1900 is 50%.

8 0
3 years ago
The new post office has an area that is 6.5 times the area of the old post office. Let p represent the area of the old post offi
IrinaK [193]

Answer:

Area = 6.5p

Step-by-step explanation:

Given

Area\ of\ Old = p

Area\ of\ New = 6.5 * Area\ of\ Old

Required

Write an expression for the area of new post office

From the question, we have the following:

Area\ of\ Old = p

and

Area\ of\ New = 6.5 * Area\ of\ Old

Substitute p for Area of Old in the second equation

Area\ of\ New = 6.5 * p

Area\ of\ New = 6.5 p

Hence, the expression is:

Area = 6.5p

5 0
3 years ago
X + y=-3 can someone help me sketching the graph of each line infinite pre-algebra
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2 years ago
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms.
Inessa05 [86]
Hey there.

When writing a polynomial in standard form, you always want to start from the highest degree (exponent), so let's simplify our expression before doing so.

-2x^{3} + 6x^{3} = 4x^{3};
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Up next will be '-3x', as it has a degree of 1.
After this, we have 6, having a degree of 0.

Let's set up our new polynomial with this information;
4x^{3} - 3x + 6.

This is known as a cubic trinomial since it has three terms and has a degree of 3.

Your correct answer is "D.)"

I hope this helps!
5 0
3 years ago
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