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maks197457 [2]
3 years ago
6

-2(3x-2) + 2x = -6X - 10

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

x =  - 3

Step-by-step explanation:

- 2(3x - 2) + 2x =  - 6x - 10

=  >  - 6x - 4 + 2x =  - 6x - 10

=  >  - 4x - 4 =  - 6x - 10

=  >  - (4x + 4) =  - (6x + 10)

=  > 4x + 4 = 6x + 10

Keeping all like terms in L.H.S ,

=  > 6x - 4x = 4 - 10

=  > 2x =  - 6

=  > x =  \frac{ - 6}{2}  =  - 3

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drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge
jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

a^{2} +b^{2} =c^{2}

(3.3)^{2} +b^{2} =(5.2)^{2}

b^{2} =(5.2)^{2}-(3.3)^{2}

b =\sqrt{(5.2)^{2}-(3.3)^{2}}

b=4.0187...

b=4.0 m

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

c^{2}  =a^{2} +b^{2} -2ab(cos(C))

(3.3)^{2}  =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))

cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}

C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})

C=39.3915...

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0
3 years ago
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students pref
Sveta_85 [38]
If 100 students make up 40% of the 6th grade population, then 50 students make up 20% of the 6th grade population. 20% × 5 makes 100% so if your multiply 50 by 5 you'd get your population.
50 × 5 = 250 sixth-graders
7 0
3 years ago
Read 2 more answers
PLEASE HELP! (WILL GIVE BRAINLIEST FOR RIGHT ANSWER)
dimaraw [331]

Answer:

-41.29*  10^-7

Step-by-step explanation:

You would change the order of the numbers by multiplying -4.44 and 9.3 together and multiply 10^-7 and 10^0. Which would now look like this:

(-4.44* 9.3)* (10^-7* 10^0)

-4.44* 9.3= -41.292 and 10^-7* 10^0= 1* 10^-7. So now the equation would look like this:

-41.292* 10^-7

Then round -41.292 to 2 decimal places which would be -41.29.

-41.29*  10^-7

That's the answer. I hope this helps!

6 0
3 years ago
Convert 6 kilometers to yards
NISA [10]
1 km=1093.61yards

6 km= 6*1093.61yards
6 km= 6561.66yards

Answer= 6561.66 yards
7 0
3 years ago
A building casts a shadow 168 meters long. At the same time, a pole 5 meters high casts a shadow 20 meters long . What is the he
yawa3891 [41]

Answer:

42

Step-by-step explanation:

The height of the pole is 4 times shorter than the length of the shadow 20÷5=4

The height of the building must be 4 times shorter than its shadow length 168÷4=42

3 0
3 years ago
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