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pishuonlain [190]

3 years ago

15

A chemist is using 338 milliliters of a solution of acid and water. If 16.3% of the solution is acid, how many milliliters of ac

id are there?

1 answer:

adelina 88 [10]3 years ago

5 0

It easy it’s B i just took this quiz

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a certain triangle has a perimeter of 3067 mi. the shortest side measures 71 mi less than the middle side and the longest side m

UkoKoshka [18]

Answer:

The measure of the shortest side is 851 miles

Step-by-step explanation:

Let

x ----> the measure of the shortest side

y ---> the measure of the middle side

z ---> the measure of the longest side

we know that

The perimeter of triangle is equal to

$P=x+y+z$

$P=3,067\ mi$

so

$3,067=x+y+z$ ----> equation A

the shortest side measures 71 mi less than the middle side

so

$x=y-71$ ----> equation B

the longest side measures 372 mi more the the middle side

so

$z=y+372$ ----> equation C

substitute equation B and equation C in equation A

$3,067=(y-71)+y+(y+372)$

solve for y

$3,067=3y+301\\3y=2,766\\y=922$

Find the value of x

$x=y-71\\x=922-71\\x=851$

therefore

The measure of the shortest side is 851 miles

6 0

3 years ago

Bob bought a bike for $250 and repaired it . He can now sell the bike for $300. What is the percent increase in the value bike ?

alexgriva [62]

Answer:20%

Step-by-step explanation:

250*20%=50

50+250=300

7 0

3 years ago

10. Find the missing measure of the missing angle.

bulgar [2K]

Answer:

z= 69

Step-by-step explanation:

79+122+90+z=360 angle sum property

360-291=69

so z=69 degree

4 0

3 years ago

Read 2 more answers

PLEASE HELP ME WITH THIS

Alik [6]

Answer:

x + y ≤ 600
5x +7y ≥ 3500
it is possible

Step-by-step explanation:

a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.

x + y ≤ 600 . . . . . . . limit imposed by available seating

5x +7y ≥ 3500 . . . . required revenue to meet expenses

__

b) For x = 330, the first inequality puts one limit on y:

330 +y ≤ 600

y ≤ 270

And the second inequality puts another limit on y:

5(330) +7y ≥ 3500

7y ≥ 1850 . . . . subtract 1650

y ≥ 264.3 . . . . divide by 7

The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.

4 0

3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

3 years ago