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ASHA 777 [7]
3 years ago
9

For the right triangle find the missing length. Round your answer to the nearest tenth.

Mathematics
2 answers:
DedPeter [7]3 years ago
8 0

Answer:

Step-by-step explanation:

w = 2√3 ≈ 3.5 units

Brut [27]3 years ago
3 0

Answer:

3.5

Step-by-step explanation:

tan60 = w/2

Multiply 2 on both sides to get the w by itself.

tan60 x 2 = w

Put tan60 into the calculator.

2 x 1.732050808 = w

Multiply.

w = 3.5

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Find the value of 7p – 3q when p= 8 and q = -5
EastWind [94]

Step-by-step explanation:

7p – 3q

if p= 8 and q = -5

7(8)-3(-5)

56+15

=71

5 0
2 years ago
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Question 10: If the product of all the numbers from 1 to 100 is divisible by 2^n, then what is the maximum possible value for n:
Klio2033 [76]

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

4 0
3 years ago
Read 2 more answers
The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?
Phoenix [80]
Lets say that the two unknown integers are n and m.

We know the following things about n and m:

n+m=26
n^2+m^2=340

And, we want to find nm.

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

(n+m)^2=n^2+2nm+m^2

So, given what we know about the unknown integers, the previous can be written as:

(26)^2=340+2nm

We can easily solve for nm:

nm= \frac{(26)^2-340}{2}= \frac{676-340}{2}= \frac{336}{2}=168

The answer is 168.

Another approach to solve the problem is, from the two starting equations, compute the values of n and m, which are 12 and 14, and directly compute their product; however, the approach described is more elegant. 
5 0
3 years ago
6 sweets cost 42p altogether how much do 8 sweets cost
Eddi Din [679]
The best thing to do is to find the cost of one sweet, and to do this, divide 42 by 7.
42/7= 6
Therefore, one sweet costs 6p.
To find the cost of 8 sweets, you've got to multiply 6 by 8, and this gives you 54p.
Therefore, 8 sweets cost 54p
This is basically just finding unit rate and multiplying.
<span>Hope this helps :)</span>
8 0
3 years ago
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What is <br> 2n - 3 = 9 ( solve the equation)
BartSMP [9]

2n - 3 = 9 \\ 2n = 12 \\ n = 6
5 0
3 years ago
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