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Maksim231197 [3]
3 years ago
11

__

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0
If M <span>is the midpoint of AB then AB = 2AM

8x - 6 = 2(3x + 3)
8x - 6 = 6x + 6
8x - 6x = 6 + 6
2x = 12
x = 12/2
x = 6

AM = 3x + 3 = 3*6 + 3 = 18 + 3 = 21 units
</span>
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a particular submarine is 12 m long. A model of it was built with a scale of 1 cm: 3 m. How long is the model? Show all work.
slamgirl [31]
1cm : 3m

to get from 12m to 3m you have to divide by 4, so if:

3 x 4 = 12

then you do the same to the 1cm and you get:

1 x 4 = 4

Therefore:

1cm : 3m
4cm : 12cm

the model is 4cm

the answer is the above in bold
hope it helped :)
and sry if my explanation wasn't detailed enough or if i misunderstood the question
5 0
3 years ago
Show that √(1-cos A/1+cos A) =cosec A - cot A​
Gennadij [26K]

Hi there!

\sqrt{\frac{1-cosA}{1+cosA}} =

We can begin by multiplying by its conjugate:

\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}}  = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =

Simplify using the identity:

1 - cos^2A = sin^2A

\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =

Take the square root of the expression:

{\frac{sinA}{1+cosA} =

Multiply again by the conjugate to get a SINGLE term in the denominator:

{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\

Simplify:

{\frac{sinA(1-cosA)}{1-cos^2A} =

Use the above trig identity one more:

{\frac{sinA(1-cosA)}{sin^2A} =

Cancel out sinA:

{\frac{(1-cosA)}{sinA}  =

Split the fraction into two:

{\frac{1}{sinA}   - \frac{cosA}{sinA} =

Recall:

1/sinA = cscA\\\\cosA/sinA = cotA

Simplify:

\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}

5 0
2 years ago
Im dumb so help me out here 50 points each Click on the image to enlarge
antiseptic1488 [7]

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, that is

∠ 1 + ∠ 2 + ∠ 3 = 180°

Given ∠ 1 + ∠ 2 = 134°, then

134° + ∠ 3 = 180° ( subtract 134° from 180° )

∠ 3 = 46° → D

8 0
3 years ago
The formula F=9/5C+32 is used to convert Celsius to Fahrenheit temperature. If the temperature is 20 C what is it in Fahrenheit?
ahrayia [7]
F = C x 9/5 + 32
(20) x 9/5 + 32
= 68
5 0
3 years ago
Suppose you invest $500 at an annual interest rate of 8.2% compounded continuously. How much will you have in the account after
Marianna [84]
Here is the formula that your going to need to use A=P(1+r/n)^nt
  So P=500, R=0.082, N=1, T=15
 Plug it into your equation and you have A=500(1+0.082/1)^(1)(15)
 Simplify what's in the parenthesis A=500(1.082)^(1)(15)
 Multiply your exponents A=500(1.082)^15 Then A=500(3.26)
 Finally you multiply your last two numbers to get A=1,630
 So after 15 years you would have $1,630
I hope this helped you :) 
7 0
3 years ago
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