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Lera25 [3.4K]
3 years ago
9

In ΔCDE, the measure of ∠E=90°, the measure of ∠D=23°, and EC = 1.3 feet. Find the length of DE to the nearest tenth of a foot?

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

Answer:

DE = 1.2ft

Step-by-step explanation:

It's actually a lot easier for someone to just draw a diagram. I recommend it in the future!

This is a right-angle triangle, so I'm guessing it's Sohcahtoa.

cos23° = DE/1.3

DE = 1.3cos 23°

DE = 1.1966...

Rounded:

DE = 1.2

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0.66

Step-by-step explanation:

33 * 0.02 = 0.66

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PLEASE HELP (Giving Good Points!)
Vinvika [58]

Answer:  q=16

Step-by-step explanation:

if we suppose q=16

(q+4)/2=10

(16+4)/2=10\\20/2=10\\10=10

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2 years ago
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Free_Kalibri [48]

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Step-by-step explanation:

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3 years ago
rachel owns a cupcake shop. last week she used 42.5 pounds of sugar making cupcakes. this week she used 26 pounds of sugar. find
Paha777 [63]

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decreased by 39%

Step-by-step explanation:

deacreased by

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3 0
3 years ago
A) How many ways can 2 integers from 1,2,...,100 be selected
Anna007 [38]

Answer with explanation:

→Number of Integers from 1 to 100

                                            =100(50 Odd +50 Even)

→50 Even =2,4,6,8,10,12,14,16,...............................100

→50 Odd=1,3,,5,7,9,..................................99.

→Sum of Two even integers is even.

→Sum of two odd Integers is odd.

→Sum of an Odd and even Integer is Odd.

(a)

Number of ways of Selecting 2 integers from 50 Integers ,so that their sum is even,

   =Selecting 2 Even integers from 50 Even Integers , and Selecting 2 Odd integers from 50 Odd integers ,as Order of arrangement is not Important, ,

        =_{2}^{50}\textrm{C}+_{2}^{50}\textrm{C}\\\\=\frac{50!}{(50-2)!(2!)}+\frac{50!}{(50-2)!(2!)}\\\\=\frac{50!}{48!\times 2!}+\frac{50!}{48!\times 2!}\\\\=\frac{50 \times 49}{2}+\frac{50 \times 49}{2}\\\\=1225+1225\\\\=2450

=4900 ways

(b)

Number of ways of Selecting 2 integers from 100 Integers ,so that their sum is Odd,

   =Selecting 1 even integer from 50 Integers, and 1 Odd integer from 50 Odd integers, as Order of arrangement is not Important,

        =_{1}^{50}\textrm{C}\times _{1}^{50}\textrm{C}\\\\=\frac{50!}{(50-1)!(1!)} \times \frac{50!}{(50-1)!(1!)}\\\\=\frac{50!}{49!\times 1!}\times \frac{50!}{49!\times 1!}\\\\=50\times 50\\\\=2500

=2500 ways

7 0
3 years ago
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