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3 years ago

HELP! hope i get a good grade! thanks to everyone for helping out!

Mathematics

2 answers:

just olya [345]3 years ago

6 0

It is a right triangle, angle bmw

Tema [17]3 years ago

6 0

Answer:

Hi there!

The answer to this question is right.

Step-by-step explanation:

Right Angle: 90 degrees

Segments WA and BM are perpendicular to each other so angle MBW is a right angle.

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How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (R

puteri [66]

Answer:

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

Step-by-step explanation:

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution? (Round to two decimal places if necessary.)

Let x be the number of liters of the 45% acid solution

The number of liters of the 70% acid solution is y

x + y = 50

x = 50 - y

Also

How many liters each of a 45% acid solution and a 70% acid solution must be used to produce 50 liters of a 65% acid solution?

We have:

45% × x + 70% × y = 65% × 50

0.45x + 0.70y = 0.65 × 50

0.45x + 0.70y = 32.5

We substitute x = 50 - y in the equation

0.45(50 - y) + 0.70y = 32.5

= 22.5 - 0.45y + 0.70y = 32.5

= - 0.45y + 0.70y = 32.5 - 22.5

= 0.25y = 10

Divide both sides by 0.25

= y = 10/0.25

y = 40 liters

x = 50 - y

x = 50 - 40

x = 10 liters

Hence,

The number of liters of the 45% acid solution = 10 liters

The number of liters of the 70% acid solution is = 40 liters

3 0

2 years ago

Given directed line segment PR below, find the coordinates of Q on PR

g100num [7]

Answer:

$(\frac{4}{3},-3)$

Step-by-step explanation:

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ( $x_1,y_1$ ) and B( $x_2,y_2$ ) is given by the formula:

$x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1$

From the graph, the location of the point is P(2, 5), R(1, -7). Let point Q be (x, y) which divides PR in ratio 2:1. Coordinates of point Q is at:

$x=\frac{a}{a+b}(x_2-x_1)+x_1=\frac{2}{2+1}(1-2)+2=\frac{2}{3}(-1)+2=\frac{4}{3} \\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1=\frac{2}{2+1}(-7-5)+5= \frac{2}{3}(-12)+5=-3$

Point Q is at $(\frac{4}{3},-3)$

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3 years ago

Find the area of the shaded region of the graph

AURORKA [14]

Answer:

9 units²

Step-by-step explanation:

A differential of area is ...

dA = ((2y -y²) -(y² -4y))·dy = (-2y² +6y)·dy

The indefinite integral of this will be ...

a = -2/3y³ +6/2y²

Then the definite integral over the limits [0, 3] will be ...

(-2/3·3³ +3·3²) - 0 = 9 . . . . square units

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3 years ago

a group of 4 pupils can take 2 weeks to do a certain job.how long will 12 pupils take to complete the job if they work at the sa

Ksivusya [100]

Answer:

6 weeks

Step-by-step explanation:

Set up a proportion where x is the amount of time with 12 pupils:

$\frac{4}{2}$ = $\frac{12}{x}$

Cross multiply and solve for x:

4x = 24

x = 6

So, it will take 12 pupils 6 weeks to complete the job.

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2 years ago

Graph

Rus_ich [418]

C is what I think/Know for sure

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2 years ago