a pharmacist mixes 5g of a powder with 45cm³ of water to make a prescription medicine. how much powder should she mix with 81cm² of water to make a larger amount of the same medicine?​

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

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Answer: 21p^2 + 3qp

Explanation:

To find the area of the triangle you have to do LxHx1/2

Length = 7p+q

Height = 6p

(7p+q)*6p*1/2 = 21p^2+3qp

I hope this helped!

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- Zack Slocum

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Answer:

The answer is 3p(7p+q)

Step-by-step explanation:

If we first take given values as an area of a rectangle, we get: 7p+q times 6p

If we construct the rectangle, we can see that the given triangle takes exactly half of the area of the rectangle, thus the area of a triangle is:

(7p+q times 6p)/2

6p(7p+q)/2=3p(7p+q)

I hope it helped :)

Answer:

0....4.... 8....12....16

Answer:

No, as the one becomes x^2/x^3 and the other is x^3/x^2, which is not equivalent.

Step-by-step explanation:

Answer: -1/2

Step-by-step explanation: The slope is -1/2 because the intercepts for each point on the line have a rise of -1/2

Answer:

b

because the square tote works

Step-by-step explanation:

next

Answer:

y = -7x + 1

Step-by-step explanation:

Remember the formula for slope-intercept form: y = mx+ b

m is equal to the slope value

b is equal to the y-intercept value

Meaning, when you substitute the values in, you get:

y = -7x + 1

Answer:

y = -7x - 1 is the desired equation.

Step-by-step explanation:

Choose the form of the equation of a straight line that requires the least amount of work.  In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:

y = -7x - 1 is the desired equation.

Answer:

22+2

22+2

=6

Step-by-step explanation

hope this is right

Answer:

- 5/13

Step-by-step explanation:

tans = 5/12 = height/base

Using Pythagoras, hypotenuse = √12² + 5² = 13

Therefore coss had to be 12/13

But since cos s < 0, cos s = - 12/13

Thus,

tanA = sinA/cosA

tanA cosA = sinA

(5/12)(- 12/13) = sinA

- 5/13 = sinA

Answer:

sin s = - [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

Given

tan s = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

Then this is a 5- 12- 13 right triangle with hypotenuse = 13

Since tan s > 0 and cos s < 0

Then s is in the third quadrant where sin s < 0

sin s = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{5}{13}[/tex]

Answer:

just find it then multiply it by 0.50 because 0.50 is 1/2 converted to a decimal and thats the scale factor

Step-by-step explanation:

Step-by-step explanation:

Does this help?

Answer:

24000

Step by step

20×10×80 = 16000+ 40×10×20=8000 = 24000

Answer:

5.7 unit

Step-by-step explanation:

From the question,

Applying pythagoras theorem,

a² = b²+c²....................... Equation 1

From the diagram.

a = /QX/, b = /XR/, c = /RQ/

Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.

Substitute these values into equation 1

a² = 4²+4²

a² = 16+16

a² = 32

a = [tex]\sqrt{32}[/tex]

a = 5.7 units

Hence, QX = 5.7 units

Answer:

Step-by-step explanation:

Answer:

triangle abd is isosceles triangle and triangle dbc is equilateral triangle.

opposite sides of equal angles are same. so, ad= bd

and bd is the side of equilateral triangle. so, bd=bc=dc

perimeter of quadrilateral = sum of all sides.

perimeter=11+8+8+8

perimeter =35

The perimeter of the given quadrilateral is 35 units.

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral.

We know the perimeter of any planer figure is the sum of the lengths of all the sides.

We have ΔABD with side lengths 8 units and 11 units with two similar angles.

∴ The length opposite to the missing side will also be 8 units and hence

ΔBCD will also the side lengths of 8 units as it is an equilateral triangle.

∴ The perimeter of the quadrilateral is (11 + 8 + 8 + 8) units.

= 24 + 11 units.

= 35 units.

learn more about quadrilaterals here :

https://brainly.com/question/13805601

#SPJ2

Answer:

b = 38

Step-by-step explanation:

*Apply the Distributive Property*

2 [3b - 4] = 5 [b + 6]

6b - 8 = 5b + 30            

6b = 5b + 38                  

b = 38

Answer:

30.1°

Step-by-step explanation:

Let A = angle of elevation

tan A = 55/95

A = arctan 55/95

    = 30.1°

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

Answer:

firt thing i would do is take out things that are alike but if these are the options then i would a) multiply the first equation by -1

Answer:

6 loads

Step-by-step explanation:

Answer:

she will need to do 6 loads

Answer:

The statement which is true about the angles in the figure is;

The measure of Angle 4 is 137 degrees

Step-by-step explanation:

From the question diagram, we have;

The interior angles of the triangle are;

43°, 56°, and ∠1

Therefore, by the angle sum theorem, we have;

∠1 = 180° - 43° - 56° = 81°

∠1 = 81°

The measure of ∠1 is 81°

By the sum of angles on a straight line, we have;

∠1 + ∠2 = 180°

∴ 81° + ∠2 = 180°

∠2 = 180° - 81° = 99°

The measure of ∠2 is 99°

Similarly, for the angles 56° and ∠3 which are on a straight line, we have;

56° + ∠3 = 180°

∠3 = 180° - 56° = 124°

The measure of ∠3 is 124°

For the angles 43° and ∠4 which are on a straight line, we have;

43° + ∠4 = 180°

∠4 = 180° - 43° = 137°

The measure of ∠4 is 137°

Therefore the true statement is the measure of angle 4 is 137 degrees.

Step-by-step explanation:

Volume of Washing machine = Volume of Rectangle

= Length x Width x Height

= 5 x 6 x 6

[tex] = 180ft^{3} [/tex]

Answer:

the area should be in in2

Answer: what

Step-by-step explanation:

Speack english

Step-by-step explanation:

We need to find x in this question.

x - 4 = -3

So, shifting -4 from one side to another, we get:-

x = -3 + 4

[+4 because the sign changes when we replace the numbers]

x = 4 - 3

x = 1 is the required answer.

Hope it helps :)

Answer:

See Below.

Step-by-step explanation:

We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.

And we want to prove that ABCD is a parallelogram.

By the definition of midpoint, this means that:

[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]

To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.

By the Midpoint Theorem:

[tex]DA\parallel SQ[/tex]

Similarly:

[tex]CB\parallel SQ[/tex]

By the transitive property for parallel lines:

[tex]DA\parallel CB[/tex]

Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.

By the Midpoint Theorem:

[tex]AB\parallel PR[/tex]

Similarly:

[tex]DC\parallel PR[/tex]

So:

[tex]AB\parallel DC[/tex]

This yields:

[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]

By the definition of a parallelogram, it follows that:

[tex]ABCD\text{ is a parallelogram.}[/tex]

Answer:

this is your answer look it once

Answer:

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Step by Step Explanation:

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Answer:

two blocks east

Step-by-step explanation:

the north and south cancel out and then 3 blocks east - 1 block west = 2 blocks east