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Anon25 [30]
3 years ago
7

Your new TV screen has a width that is 4 inches longer than its height. If the screen's diagonal measurement is 20 inches, find

the height.
Mathematics
1 answer:
scoundrel [369]3 years ago
7 0

Answer:

So the height is 12

Step-by-step explanation:

Let W be the width

Let W- 4 be the height

W2 +(W-4)2 = 400

So: W2 -4W-192 =0

One uses the quadratic solution:

W = (4 + (16 + 4*192).5)/2 = 16

You might be interested in
The ordered pairs model an exponential growth function. (−1,21.875), (0,35), (1,56), (2,89.6) What is the function equation? f(x
Karolina [17]

Answer:

Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.

Step-by-step explanation:

Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time.  Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6.  Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'.  Plugging in these values will give us the final equation f(x)=35(1.6)^x.

5 0
2 years ago
Select all equations that can represent the question: "How many groups of 45 are in 1?" A ?⋅1=45? Times 1 is equal to 4 fifths B
Aleonysh [2.5K]

This question is not correctly written.

Complete Question

Select all equations that can represent the question: "How many groups of 4/5 are in 1?" A ?⋅1=4/5? Times 1 is equal to 4 fifths B 1⋅4/5=?1 times 4 fifths is equal to ? C 4/5÷1=?4 fifths divided by 1 is equal to ? D ?⋅4/5=1? Times 4 fifths is equal to 1 E 1÷4/5=?1 divided by 4 fifths is equal to ?

Answer:

D ?⋅4/5=1 = ? Times 4 fifths is equal to

E 1÷4/5=? = 1 divided by 4 fifths is equal to

Step-by-step explanation:

How many groups of 4/5 are in 1?

The operation used to solve this is that Division operation.

Hence, we solve it by saying:

1 ÷ 4/5 = ?

= 1× 5/4 = ?

5/4 = ?

Cross Multiply

5 = 4 × ?

? = 5/4

The equations that can represent the question: is

Option D ?⋅4/5=1 = ? Times 4 fifths is equal to

Option E 1÷4/5=? = 1 divided by 4 fifths is equal to

7 0
2 years ago
A pipe is 36 feet long. It needs to be cut into pieces that are each 3/4 feet long. How many pieces can be made from the pipe?
Ket [755]

108/4 = 27 pieces you multiply 36 x 3 = 108 and the denominator stays the same so 108/4 equals to 27 pieces

4 0
3 years ago
9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose
Vadim26 [7]

Answer:

Per ounce better buy is <em>Happy popcorn</em>.

Step-by-step explanation:

Given that:

Happy popcorn price for 16 ounces = $1.39

Popper popcorn price for 34 ounces = $2.79

Discount coupon present with Gabe = 40 ¢ = $0.40

To find:

Which brand is the better buy per ounce?

Solution:

First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.

Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99

Price for 1 ounce of Happy popcorn after discount = \frac{\$0.99}{16} = $0.062

Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39

Price for 1 ounce of Popper popcorn after discount = \frac{\$2.39}{34} = $0.070

Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.

Therefore per ounce better buy is <em>Happy popcorn</em>.

6 0
2 years ago
PLS HELP I DONT UNDERSTAND !
Svetach [21]

Answer:

I think the answer is 24

Step-by-step explanation:

hope its helpful

4 0
3 years ago
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