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3 years ago

Please help..........

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

Answer:

29 degrees

Step-by-step explanation:

BAD = 42 degrees because it is an alternate interior pair with ABC. 109 + 42 = 151 degrees. Those three angles should equal 180 degrees, thus the equation 180 - 151, which is equal to 29 degrees.

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Solve the system by substitution: 3x - y = 21 and y = 6x

Naddik [55]

Answer:

if y=6x then 3x-6x=21

-3x=21

x=-7

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3 years ago

The value of x in this system of equations is 1

Vinvika [58]

I don’t know but i need points

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4 years ago

How many liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16%

Naily [24]

1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

For given question,

Let x be the quantity ( in liters ) of glycerin added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin,

Thus,

Quantity of glycerin in 12 liters + Quantity of glycerin in x

= Quantity of glycerin in resultant mixture.

⇒ 8% of 12 + 100% of x = 16% of (12 + x )

⇒ 0.08 × 12 + x = 0.16 × ( 12 + x )

⇒ 0.96 + x = 0.16 × 12 + 0.16x

⇒ 0.96 + x = 1.92 + 0.16x

⇒ x - 0.16x = 1.92 - 0.96

⇒ 0.84x = 0.96

⇒ x = 1.143 liters

Therefore, 1.143 liters of glycerin should be added to 12 liters of an 8% glycerin solution so that the resulting solution contains 16% glycerin.

Learn more about the resulting solution here:

brainly.com/question/12051765

#SPJ4

7 0

2 years ago

If (cos)x= 1/2 what is sin(x) and tan(x)? Explain your steps in complete sentences.

Natasha_Volkova [10]

The correct answers are:
1) sin(x) = $\frac{ \sqrt{3} }{2}$
2) tan(x) = $\sqrt{3}$

Explanation:
Given:
$cos(x) = \frac{1}{2}$

Step 1:
Since, according to the Trigonometric identity:
$sin^2(x) + cos^2(x) = 1$ -- (1)

Step 2:
Plug in the value of cos(x) in equation (1):
$sin^2(x) + ( \frac{1}{2} )^2 = 1 \\ sin^2(x) + \frac{1}{4} = 1 \\ sin^2(x) = \frac{3}{4}$

Step 3:
Take square-root on both sides:
$\sqrt{sin^2(x)} = \sqrt{\frac{3}{4}}$

sin(x) = $\frac{ \sqrt{3} }{2}$

Now to find the tan(x), we would use the following formula:

tan(x) = $\frac{sin(x)}{cos(x)}$ --- (2)

Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) = $\frac{ \frac{ \sqrt{3} }{2} }{ \frac{1}{2} }$

Hence tan(x) = $\sqrt{3}$

6 0

3 years ago

Read 2 more answers

Manny plans to save 1/12 of his salary each week. If his Weekly salary is $372, find the amount he will save each week.

xxMikexx [17]

Answer:

$31

Step-by-step explanation:

We know that Manny makes $372 in a week. If he needs to save 1/12th of his salary a week, we would need to multiply 372 by $\frac{1}{12}$ .