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pentagon [3]
3 years ago
14

The actual dimensions of a rectangle are 50 yards by 35 yards. What scale was used ?

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0
Thanks For Choosing Brainly 


Given that the dimensions of the rectangle are 50 yards by 35 yards length. The scale used to construct the model of the rectangle was as follows;
Given that 10 inches represents 35 yards, then the scale will be:
10:35
=1:3.5
We can therefore conclude that:
1 inch represents 3.5 yards
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6 0
3 years ago
If x = 10, y = 5, and z = 11, what is the sine ratio for g°?
salantis [7]

Answer:

\frac{10}{11}

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

In the right triangle ABC

sin(g^o)=\frac{AC}{AB} ----> by SOH (opposite side divided by the hypotenuse)

substitute the given values

sin(g^o)=\frac{x}{z}

sin(g^o)=\frac{10}{11}

8 0
2 years ago
After a 25% discount, the sale price of a sweater that Amanda wants to purchase is $18. What was the original price? *
GalinKa [24]

Answer:

$72

Step-by-step explanation:

18/.25 will get you the original price

4 0
2 years ago
Your company is planning to air a number of television commercials during a television network's presentation of the an awards s
Sunny_sXe [5.5K]

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.  

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The  the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x  )

- The  average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost =  $500,000

discount = $160,000√x

 Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount  

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The  the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x  )

= 1,900,000 - (80000 /√x  )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x  )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

=  [500,000 / x ] + [1,900,000x / x ]  - [ 160,000√x / x ]

=  [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

=  1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

5 0
3 years ago
how is building a triangle with different side lengths given different than building a quadrilateral with given side lengths?​
Mariana [72]

Answer:

there can only be one possibility for a triangle when given the lengths of all the sides but for a quadrilateral the measure of the angles could differ depending on the person building the,. this is because triangles are more stable than quadrilaterals meaning that their side lengths follow a lot more rules than quadrilaterals do, for example the length of the side lengths can indicate whether or not that triangle is an acute, obtuse, or right triangle, and this is also evident by considering that you can use the SSS theorem to indicate two triangles are congruent, but for quadrilaterals you cant do that

Step-by-step explanation:

8 0
3 years ago
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