Notes for proportional relationships can you give me notes to write down lol

9514 1404 393

Answer:

  A.  201 cm³

Step-by-step explanation:

To find the volume, we need to know the length of the prism and the area of the triangular base.

We can find the area of the triangular base a couple of ways. Since we are given some angles, the convenient way will be to make use of those angles.

The triangular base is isosceles. For our purpose, we assume that means AB = BC. If we define point M as the midpoint of AC, then triangle BMC is a right triangle with a base of (9 cm/2) = 4.5 cm.

The side BC can be found from the trig relation ...

  cos(∠BCA) = CM/BC

  BC = CM/cos(∠BCA) = (4.5 cm)/cos(50°) ≈ 7.00

Then the area of the end triangle ABC is ...

  base area = (1/2)(AC)(BC)sin(50°)

  base area = (1/2)(9 cm)(7 cm)sin(50°) ≈ 24.133 cm²

__

The length CF can be found from the relation ...

  tan(40°) = EF/CF

  CF = EF/tan(40°) = (7.00 cm)/tan(40°) ≈ 8.343 cm

Then the volume of the prism is ...

  V = Bh

  V = (24.133 cm²)(8.343 cm) ≈ 201 cm³

The volume of this isosceles triangular prism is about 201 cm³.

Answer:

A. 201 cm³ is the answer.

Step-by-step explanation:

Given:

Slope of a straight line is [tex]\sqrt{3}[/tex].

The line passing through the point (-1,5).

To find:

The equation of the straight line.

Solution:

The point slope form of a line is:

[tex]y-y_1=m(x-x_1)[/tex]

Where, m is the slope and [tex](x_1,y_1)[/tex] is the point.

The line passing through the point (-1,5) with slope [tex]\sqrt{3}[/tex]. So, the equation of the line is:

[tex]y-5=\sqrt{3}(x-(-1))[/tex]

[tex]y-5=\sqrt{3}(x+1)[/tex]

[tex]y=\sqrt{3}x+\sqrt{3}+5[/tex]

Therefore, the equation of the straight line is [tex]y=\sqrt{3}x+\sqrt{3}+5[/tex].

Answer:

A

Step-by-step explanation:

13 + 4 = 17

so A

Step-by-step explanation:

Side AB is Adj

Side BC is OPP

Side AC is HYP

Apply sine function.

[tex] \sin(x) = \frac{4}{13} [/tex]

Take the inverse of sine.

[tex] \sin {}^{ - 1} ( \frac{4}{13} ) = 17[/tex]

Answer: 3 times

Step-by-step explanation:

Answer:

−2k+7x+33

Step-by-step explanation:

Answer:  (Sorry for not wording it correctly I had to reword it)

Step-by-step explanation: Let R be the current age of Rita. Let S be the current age of her son.

Rita is twice as old as her son.

=> R = 2S

In 4 years, R will be 4 times as old as S was 9 years ago

=> R + 4 = 4 (S - 9)

Solve for R, and S:

=> R + 4 = 4 (S - 9)

=> (2S) + 4 = 4(S - 9)

=> 2S + 4 = 4S - 36

=> 2S - 4S = -36 - 4

=> -2S = -40

=> S = 20

Find R:

=> R = 2S

=> R = 2(20)

=> R = 40

Therefore, Rita is 40, her son is 20.

Answer:

[tex]648\sqrt{6}[/tex]π

Step-by-step explanation:

[tex]\frac{4}{3}[/tex]π(9√6)³

=[tex]\frac{4}{3}[/tex]π81*6*√6

=(486*[tex]\frac{4}{3}[/tex])√6π

=648√6π

Answer:

R(x, y) = (x, -y)

Step-by-step explanation:

When we have a reflection across some line, the distance between the original point and the reflected point to the line is invariant.

For a reflection around the x-axis, the x-value is invariant, then the only value that can change is the y-value.

So if we have a point like (4, 7)

Which is at a distance of 7 units to the x-axis, the only other point that is also at a distance of 7 units to the x-axis that has the same x-value is (4, -7)

Here we already can see the rule.

If we have a point (x, y), the reflection across the x-axis gives us the point (x. -y)

Then we can write this reflection as a function in the next way:

R(x, y) = (x, -y)

This means that if the input is the point (x, y), the output is the point (x, -y)

Answer:

71°

Step-by-step explanation:

Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:

x=180-82-27

x=71

Answer:

yes

Step-by-step explanation:

it's a rule that 3,4,5 is a right triangle but use pathagorean to prove

3x3 + 4x4 = 5x5

9+16 = 25

Answer:

Solution given:

relationship between base and hypotenuse is given by sin angle

sin angle =b/h

cos55=16/x

x=16/cos55°=27.89=28 is your answer .

Answer:

317.55

Step-by-step explanation:

87% = 87/100 so

(87*365)/100 = 317.55

Answer: 409

Step-by-step explanation:

67x6+(35÷5)

402+7= 409

Answer:

409

Step-by-step explanation:

all u do is do 35 divided by 5 which =7

then you do 67 times 6 which = 402

then you do 402 + 7 which = 409

Answer:

Perimeter = 64m

Step-by-step explanation:

I can only help for Perimeter.

12+20+12+8+8+4=64m

Answer:

150 minutes ! 60/4 multiplied by 10!

Step-by-step explanation:

Answer:

Step-by-step explanation:To find out how long it takes her to sell one box you see how many times 4 can go into 60 to get how long it takes to sell one box. So in this case it takes 15 minutes to sell one box. So you take 15 and multiply it by 10. 15 * 10= 150

60/4=15

15*10=150

So it takes 150 minutes to sell 10 boxes of cookies.

Answer:

x=29, y=8

Step-by-step explanation:

3x=87

x=29

alternate angles are always equal

9y=72

y=8

the lengths of both of the lines are equal because they are opposite each other/ symmetrical

Answer:

Step-by-step explanation:

uwuwuwuwuwuwuw

Answer:

x^2 + y^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Here h = 0, k = 0, x = 3 and y = 0:

(3 - 0)^2 + (0 - 0)^2 = r^2, or

9 = r^2.  Thus, the radius is 3.

The equation of this circle is (x - 0)^2 + (y - 0)^2 = 9, or

x^2 + y^2 = 9

Answer:

2

Step-by-step explanation:

Mode means the number in an array that is the most common. The most common number (mode) in this array is 2, with 3 entries.

Answer:

um, I checked the questions you asked and we have the same questions, I think we might be in the same school lol

There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The mass of a gold atom is 3.29 x 10⁻²² grams.

And, The mass of a helium-4 atom is, 6.65 x 10⁻²⁴ grams.

Hence, The amount of greater is the mass of a gold atom than the mass of a helium-4 atom is,

⇒ 3.29 x 10⁻²² /  6.65 x 10⁻²⁴

⇒ 0.49 x 10²

⇒ 4.9 x 10³

Thus, There are 4.9 x 10³ times greater is the mass of a gold atom than the mass of a helium-4 atom.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Jayden 44.2433333 inches squared

Carson 55.3041665 inches squared

Step-by-step explanation:

Answer:

go to this it should explain to u

Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-angles/v/complementary-and-supplementary-angles

Answer:

0 dots = 10

1 dot = 1, 2, 3, 9

2 dots = 0, 4, 5, 7, 8, 11

3 dots = none

4 dots = 6

A person babysits for about 6 hours each week. The graph has one single peak at the center (6) and is a bell shaped distribution. The peak at 6 shows that there is a high number of data points in that area of the graph, meaning it is the typical number of hours for babysitters to babysit.

Answer:

47 people

Explanation:

58 - 6 + 4 -16 + 7 = 47

Answer:

Step-by-step explanation:

 3x - (3x) - 2 = 3x + 3x - 2    {Combine like terms}

                       = 6x - 2    

I-100I + 3x - [-4x] = 100 + 3x + 4x

                            = 100 + 7x

I -100 I  means absolute value of 100 = 100

Answer:

B

Step-by-step explanation:

1) find the base area

base area = side^2 = 30^2 = 900 m^2

2) find the Volume

V = (base area x height)/3 = (900 x 21)/3 = 6300 m^3

Answer:

B) 6,300 m³

Step-by-step explanation:

The volume of approximate = L×W×H/3

30×30×21/3=

answer: 6,300

[tex]**************[/tex]

hope it helps...

have a great day!!

Answer:

(9^2) --- Because 9*9 = 81

(9)

you got this one right (2x-8)

X= -8

Answer: 12 fourths

Step-by-step explanation: I cant drawa picture but i would suggest drawing 3 squares and drw a cross across each to make 12 squares all together