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Snowcat [4.5K]
2 years ago
7

Hello! anyone want to talk?

Mathematics
2 answers:
stellarik [79]2 years ago
8 0

Answer:

sure what's up

Step-by-step explanation:

erica [24]2 years ago
4 0

Answer:

helloooooooo

Step-by-step explanation:

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If a varies directly as b, and a = 28 when b = 7, find b when a = 5.
Reika [66]

Answer: Option B.

b=\frac{5}{4}

Step-by-step explanation:

If a varies directly with b then when a increases b it also increases by a factor k.

Then we can write that

a = kb

We know that when a = 28 then b = 7. So

28 = k * 7

k=\frac{28}{7}

k=4

Therefore the equation of proportionality is:

a=4b

So when a=5  then:

5=4b\\\\b=\frac{5}{4}

6 0
3 years ago
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What is 5,729 + 2,729​
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it equals 8458

Step-by-step explanation:

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3 years ago
A 12-meter ladder leans against a building forming a 30° angle with the building.
KatRina [158]

Answer:

will show you two (2) ways to solve this problem.

A diagram is needed to see what is going on....

 

Without loss of generality (WLOG)

The wall is on the right. The ladder leans against the wall

with a POSITIVE slope, from SW to NE (quadrant 3 to quadrant 1).

The measure from the bottom of the ladder to the wall is 6.

 

 

Option 1:

 

The ladder, ground and wall form a right triangle.

 

The hypotenuse (ladder) is 14 feet.

 

 The bottom of the ladder is 6 feet from the wall,

  so the base of this right triangle is 6 feet.

 

The top of the ladder to the ground represents

the missing leg of the right triangle.

 

The pythagorean theorem applies, which says

 6^2 + h^2 = 14^2   where h is the height

                                 of the top of the ladder to the ground

 

36 + h^2 = 196

 

 h^2 = 196 - 36

 

h^2  = 160

 

h = sqrt(160)

 

   = sqrt(16 * 10)

 

    = sqrt(16)* sqrt(10)

 

    = 4*sqrt(10) <--- exact answer

 

    = 4 * 3.16227766016838....

 

     = 12.64911....

 

    12.65 <--- rounded to 2 digits as directed

 

----------------------------------------------

Option #2: using trig

 

With respect to the angle formed by the bottom of the

ladder with the ground

  cos T = 6/14 = 3/7  

 T = inverse-cosine(3/7) = 64.623006647 degrees

 

 sin(64.623006647) = h/14

 

 h = 14*sin(64.62300647) = 12.6491106 <--- same answer                        

hope this helps

Step-by-step explanation:

5 0
2 years ago
Use models to show the sum of 120+205
maksim [4K]

Answer:

Step-by-step explanation:

3 0
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