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Genrish500 [490]
3 years ago
14

Find the area of the image below:

Mathematics
1 answer:
malfutka [58]3 years ago
4 0

Answer:

Option D. 27.7\ units^{2}

Step-by-step explanation:

we know that

The area of the image is equal to the area of the complete square minus the area of triangle 1, minus the area of triangle 2, minus the area of triangle 3, minus the area of trapezoid 4

see the attached figure to better understand the problem

<em>Find the area of the complete square </em>

A=8^{2}=64\ units^{2}

<em>Find the area of triangle 1</em>

A=(1/2)(4)(5)=10\ units^{2}

<em>Find the area of triangle 2</em>

A=(1/2)(3)(3)=4.5\ units^{2}

<em>Find the area of triangle 3</em>

A=(1/2)(3)(3)=4.5\ units^{2}

<em>Find the area of triangle 4</em>

A=(1/2)(3+4)(5)=17.5\ units^{2}

The area of the image is equal to

A=64-10-4.5-4.5-17.5=27.7\ units^{2}

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At a basketball game, a team made 52 successful shots. They were a combination of 1- and 2-point
Oksi-84 [34.3K]

Answer:

17 for 1 point shots and 35 for two point shots.

Step-by-step explanation:

let the number of 1 point shots be x

let the number of 2 point shots be y

 

x + y = 52          (1)

x + 2y = 87        (2)

 

subtracting (1) from (2)

 

y = 35

 

from (1) x = 52 - y = 52 - 35 = 17

 

Hence number of 1 pointers = 17

 

number of 2 point shots = 35

 

checking; 17 + 35 =52 ; and 17+ 2*35 = 87

7 0
3 years ago
In converting 20 inches to centimeters, what unit (omit the number) would
Liono4ka [1.6K]

Answer:

you would put inches in the denominator of the second term and centimeters in the denominator in the first term.

Step-by-step explanation:

the equation would be 20in / 1cm x 2.54 / 1 in.

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3 years ago
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Write 63000 in standard form
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63000 is already in standard form
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What percent is equivalent to<br> 4/20<br> 20%<br> 5%<br> 0.2 %
pshichka [43]

Answer:

20% is what it's equivalent to

Step-by-step explanation:

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6 0
3 years ago
Scientists have found a relationship between the temperature and the height above a distant planet's surface. , given below, is
Liula [17]

Answer:

1) Option B is correct.

The inverse of the function, T⁻¹(x), represents the The height above the surface (in kilometers) when the temperature is x degrees Celsius.

2) T⁻¹(x) = 12.2 - 0.4x

3) T⁻¹(15) = 6.2 m

Step-by-step explanation:

1) The inverse of a function is a function that reverses the effects of the original function on the variable that determines the original function's value.

T(h) = 30.5 - 2.5h

The original function takes the height in kilometres and converts it to temperature at that point in degree Celsius, So, the inverse function will take the temperature in degree Celsius and produce the corresponding height in kilometres.

So, it is the The height above the surface (in kilometers) when the temperature is x degrees Celsius.

The inverse functuon is given as T⁻¹ (x)

2) To obtain T⁻¹(x)

T(h) = 30.5 - 2.5h

We make h the subject of formula

2.5h = 30.5 - T

h = (30.5 - T)/2.5

h = 12.2 - 0.4T

T⁻¹(x) = 12.2 - 0.4x

3) T⁻¹(x) = 12.2 - 0.4x

when x = 15°C

T⁻¹(15) = 12.2 - 0.4(15) = 6.2 m

6 0
4 years ago
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