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4 years ago

Please help me with this question

Mathematics

1 answer:

OLga [1]4 years ago

7 0

Answer:

boo boo bbababababababyguewjskk34ihuewoudhhun.b odcb p;dwqvul wqionwqvgkwxdb ;qwdStep-by-step explanation:

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This is the attached diagram to 5

Ber [7]

The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.

Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01

The radius of circle M is about 6.01.

6 0

3 years ago

27+7 break apart ones to add

nataly862011 [7]

Answer:

Step-by-step explanation:

You can break apart 27 into 20 and 7, and add that 7 to the other 7 to make 14, and add 14 to 20, to make 34.

4 0

3 years ago

Use the approach in Gauss's Problem to find the following sums of arithmetic

Agata [3.3K]

a. Let S be the first sum,

S = 1 + 2 + 3 + … + 97 + 98 + 99

If we reverse the order of terms, the value of the sum is unchanged:

S = 99 + 98 + 97 + … + 3 + 2 + 1

If we add up the terms in both version of S in the same positions, we end up adding 99 copies of quantities that sum to 100 :

S + S = (1 + 99) + (2 + 98) + … + (98 + 2) + (99 + 1)

2S = 100 + 100 + … + 100 + 100

2S = 99 × 100

S = (99 × 100)/2

Then S has a value of

S = 99 × 50

S = 4950

Aside: Suppose we had n terms in the sum, where n is some arbitrary positive integer. Call this sum ∑(n) (capital sigma). If ∑ is a sum of n terms, and we do the same manipulation as above, we would end up with

2 ∑(n) = n × (n + 1) ⇒ ∑(n) = n (n + 1)/2

b. Let S' be the second sum. It looks a lot like S, but the even numbers are missing. Let's put them back, but also include their negatives so the value of S' is unchanged. In doing so, we have

S' = 1 + 3 + 5 + … + 1001

S' = (1 + 2 + 3 + 4 + 5 + … + 1000 + 1001) - (2 + 4 + … + 1000)

The first group of terms is exactly the sum ∑(1001). Each term in the second grouped sum has a common factor of 2, which we can pull out to get

2 (1 + 2 + … + 500)

so this other group is also a function of ∑(500), and so

S' = ∑(10001) - 2 ∑(500) = 251,001

However, we want to use Gauss' method. We have a sum of the first 501 odd integers. (How do we know there 501? Starting with k = 1, any odd integer can be written as 2k - 1. Solve for k such that 2k - 1 = 1001.)

S' = 1 + 3 + 5 + … + 997 + 999 + 1001

S' = 1001 + 999 + 997 + … + 5 + 3 + 1

2S' = 501 × 1002

S' = 251,001

c/d. I think I've demonstrated enough of Gauss' approach for you to fill in the blanks yourself. To confirm the values you find, you should have

3 + 6 + 9 + … + 300 = 3 (1 + 2 + 3 + … + 100) = 3 ∑(100) = 15,150

and

4 + 8 + 12 + … + 400 = 4 (1 + 2 + 3 + … + 100) = 4 ∑(100) = 20,200

3 0

2 years ago

3x^2-5=43 how do i solve this using the square root property

slava [35]

Answer:

x = 4

x = -4

Step-by-step explanation:

bro i dont know but i hope this help a little, sorry

4 0

4 years ago

Please answer I am begging !!!

kati45 [8]

The answer is e=289. You just minus 1201 by 912 to get 289.

3 0

3 years ago

Read 2 more answers