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My name is Ann [436]
2 years ago
13

Your family wants to purchase a new laptop with

Mathematics
1 answer:
zloy xaker [14]2 years ago
8 0

Answer:

The laptop will not fit in the case.

Step-by-step explanation:

We need to find the width of the laptop to know if it fits in the case. We have:

<u>For the laptop</u>:

h: is the height of the laptop = 10 inch

d: is the widescreen of the laptop (diagonal) = 17 inch

w: is the width of the laptop =?

<u>For the laptop case</u>:

H: is the height of the laptop case = 10.5 inch

W: is the width of the laptop case = 13 inch

So, the width of the laptop can be found by using Pitagoras:

d^{2} = w^{2} + h^{2}

w = \sqrt{(17 inch)^{2} - (10 inch)^{2}} = 13.7 inch

Hence, the laptop is 13.7 inches wide.                              

Therefore, since the laptop is wider than the case, the laptop will not fit in the case.

 

I hope it helps you!

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Nancy wants to buy a sweater that is priced at $75. If the store is running a 60% off sale, what will be the
AleksAgata [21]

Answer:

$30.00

Step-by-step explanation:

The original price of the sweater is $75.00.  The new sale price is the original price of  100% less  60% of the original price.  That means the sales price is 40% of the original price.

You can do this 2 ways:

1.  $75 x 60% or .60 = $45

  $75-45 = $30

or

2.  $75 x 40% or .40 = $30

3 0
2 years ago
To the nearest hundredth,what is the value of x ?<br> A)36.08<br> B)41.51<br> C)47.81<br> D)72.88
maks197457 [2]
To solve, you have to use the Cosine of 41°. This is Adjacent side over Hypotenuse. Plug in the known side length and solve for x
Tan 41° = x / 55
x = Tan 41° · 55
x = 47.81 units

This would make the correct answer C. 47.81.

Hope this helps. Good luck! :)
7 0
3 years ago
What is the area of triangle ABC?
Alja [10]

Answer:

200 sq units

Step-by-step explanation:

As you might know, 3 angles of a triangle adds up to 180*. Since you already know the angles are 60* there is one more 60*. So by this you know that all the sides are equal.

As the given states, one side is 20. So following the standard way to get the area of a triangle b*h/2; 20*20 = 400 / 2 = 200 sq units

8 0
2 years ago
Calculate how many different sequences can be formed that use the letters of the given word. Leave your answer as a product of t
sdas [7]

Answer: E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

Step-by-step explanation:

According to the combinations: Number of ways to choose r things out of n things = C(n,r)

Given word: "georgianna"

It is a sequence of 10 letters with 2 a's , 2 g's , 2 n's , and one of each e, o,r, i.

If we think 10 blank spaces, then in a sequence we need 2 spaces for each of g.

Number of ways = C(10,2)

Similarly,

1 space for 'e' → C(8,1)

1 space for 'o' → C(7,1)

1 space for 'r' → C(6,1)

1 space for 'i' → C(5,1)

1 space for 'a' → C(4,2)

1 space for 'n' → C(2,2)

Required number of different sequences  = C(10,2) ×C(8,1)× C(7,1)× C(6,1)×C(5,1)×C(2,2).

Hence, the correct option is E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

7 0
3 years ago
Box A contained 1.67 kg of flour. Box B contained 8600 g of flour. After same amount of
rjkz [21]

Answer:

The amount of flour added to each box was 0.64 kg

Step-by-step explanation:

Let

x ----> the amount of flour added to each box in kg

Remember that

1 kg=1,000 g

8,600 g=8,600/1,000=8.6 kg

we know that

The linear equation that represent this situation is

(8.6+x)=4(1.67+x)

Solve for x

8.6+x=6.68+4x

4x-x=8.6-6.68

3x=1.92

x=0.64 kg

3 0
3 years ago
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