The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.​

Answer:

a

Step-by-step explanation:

sec (thita) = squrt (5)

squaring on both sides:

sec^2 (thita) = 5 - equation 1

1 + tan^2 (thita) = 5

tan^2 (thita) = 4

tan (thita) = 2.

= tan (thita) - squrt(5)sin(thita)

= 2 - squrt(5) x 2/ squrt(5)

= 0

from eqn - 1

sec(thita) = squrt(5)

cos(thita) = 1/ squrt(5)

sin(thita) = squrt ( 1- 1/(squrt (5))^2)

sin(thita) = 2/ squrt(5) .

Answer:

6

Step-by-step explanation:

A = S²

36 = S²

[tex]\sqrt{36}[/tex] = [tex]\sqrt{S^{2} }[/tex]

6=S

Answer:

Adjacent for 20° = 17.3mm

Hypotenuse for 70° = 120mm?

Opposite for 70° = 17.3mm

Hypotenuse for 20° = 120mm?

Adjacent for 70° = 10mm

Opposite for 20° = 10mm

Step-by-step explanation:

I think "Adjacent for 20°" is asking the length of the side adjacent to 20° (Although the Hypotenuse is adjacent to 20° don't answer its length because Hypotenuse are ALWAYS opposite to the 90° of a right triangle). The "Opposite for 70°" is asking the length of side opposite to 70°.

Also, I really don't know why the hypotenuse is 120mm because by the Pythagorean Theorem, it should 19.98mm (20mm if rounded to the nearest tenths).

Answer:

  "adjacent" is the short ray that makes up the angle. "opposite" is the side not touching the angle.

Step-by-step explanation:

Since your question text involves identifying adjacent and opposite, that's what we'll explain.

In a right triangle, the hypotenuse is the side opposite the right angle. For the purposes here, it is always referred to as the hypotenuse. It is the longest side in the right triangle.

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Each acute angle in the right triangle has the hypotenuse on one side. The other side forming the angle is called the adjacent side.

The remaining side of the triangle (not the hypotenuse, and not the adjacent side) is the one opposite the angle. It is called the opposite side.

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In the first attachment is a triangle with sides and angles labeled. Each angle is labeled with an upper-case letter (A, B, C), and each side opposite that angle is labeled with the corresponding lower-case letter (a, b, c). This is a customary way to label triangle sides and angles. (The right angle is not always C.)

So, for angle A, the hypotenuse is c, and the adjacent side is b. The side opposite is a.

For angle B, the hypotenuse is c (still), and the adjacent side is a. The side opposite is b.

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The second attachment applies these ideas to your first (upper left) triangle.

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As for the applicable formulas, the mnemonic SOH CAH TOA is often helpful. It is intended to remind you that ...

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

Then the applicable formulas clockwise from left are for Cos, Sin, Cos.

"What went wrong" in the 30° triangle is that somebody used a calculator in radians mode, not degrees mode, when they tried to compute the sine. A couple of errors were made, because sin(30 radians) is about -0.988, so the minus sign was dropped, too. (You always need to check that the calculator is in the right mode.)

Answer:

you know what to do that is the soup for the next couple of weeks and see how much is a ps4 controller or an official at the lot of the boy's

Answer:

292 lines of code

Step-by-step explanation:

1.) Multiply.    25 times 5 = 125

2.) Multiply previous answer by 2 (because he wrote twice as much).             125 times 2 = 250

3.) Add 42 to previous answer.    250 + 42 = 292

Answer:

To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8. Example.

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

okay so that's an inequality. You solve it the same way you saw the regular equation. the only difference is that if you divide or multiply by a negative number then you have to turn the sign around.

Answer:

0>-45

True for all x

Step-by-step explanation:

[tex]9(x+2) > 9(x-3)\\\\\mathrm{Expand\:}9\left(x+2\right):\quad 9x+18\\\\\mathrm{Expand\:}9\left(x-3\right):\quad 9x-27\\9x+18>9x-27\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\9x+18-18>9x-27-18\\\\Simplify\\\\9x>9x-45\\0>-45[/tex]

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

In response to this question,

When solving a linear equality, one difference that we must keep in mind other than replacement of = sign with some equality sign is that when we do multiplication or division with a negative number, we are then required as a must to change the direction of the inequality sign.

Answer:

9$

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

I am not good in maths but I think it is

A 1/4

A model's scale ratio is the ratio of linear dimensions. The scale factor of the triangle is (1/2).

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

The scale ratio of the triangle can be found by taking the ratio of any one side of the dashed triangle to the solid triangle. Therefore, the scale ratio will be,

[tex]\rm Scale\ ratio = \dfrac{\text{Length of the dashed line}}{\text{Length of the solid line}}\\\\ Scale\ ratio = \dfrac{2}{4} = \dfrac{1}{2}[/tex]

Hence, the scale factor of the triangle is (1/2).

Learn more about Scale ratio:

https://brainly.com/question/13770371

#SPJ2

Answer:

≈ 7.28

Step-by-step explanation:

Calculate the length using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)

AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]

     = [tex]\sqrt{2^2+7^2}[/tex]

     = [tex]\sqrt{4+49}[/tex]

     = [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )

Answer:

The y-intercept is -6.

Step-by-step explanation:

Step-by-step explanation:

Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8

Answer:

Mean= 7+9+8+8+10+9+8+7+8+6+9+5+6+8+9+7+7+8+10+8/20= 7.85

Mode= 8(the most repeated number)

Median= 7+8/2=7.5 (the two numbers in the middle divided 2)

-5 < -3 and the second inequality is -3 > -5

Answer:

109

Step-by-step explanation:

To solve you must work backward, she has 8 jars of 13 pieces so first do

8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109

Answer:

109

Step-by-step explanation:

If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.

Answer:

  $64.75

Step-by-step explanation:

You can add $12.95 five times:

  $12.95 +12.95 +12.95 +12.95 +12.95 = spending

but it is probably easier to use multiplication:

  5 × $12.95 = spending = $64.75

Adam spent $64.75.

Answer:

64.75

Step-by-step explanation:

So you have 5 DVDs bought and 12.95 for each.

12.95 x 5

12.95 + 12.95 = 25.90

25.90 + 12.95 = 38.85

38.85 + 12.95 = 51.80

51.80 + 12.95 = 64.75

So your answer is $64.75

Answer: at 11:54

Step-by-step explanation:

Let's define the 10:30 as our t = 0 min.

We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.

To find the least common multiple of two numbers, we must do:

LCM(a,b) = a*b/GCD(a,b)

Where GCD(a, b) is the greatest common divisor of a and b.

In this case the only common divisior of 12 and 14 is 2.

So we have:

LCM(12, 14) = 12*14/2 = 84.

Then the both trains will stop 84 minutes after 10:30

one hour has 60 mins, so we can write 84 minutes as:

1 hour and 24 minutes = 1:24

Then they will stop at the same time at 10:30 + 1:24 = 11:54

Answer:

2

Step-by-step explanation:

To find the slope of the graphed line, you take two points. I have chosen (0, 4) and (8, 0)

The formula of a slope is (y value of second point [tex]-y[/tex] value of first point) divided by (x value of second point [tex]-x[/tex] value of first point):

[tex]\frac{0-4}{8-0} =-\frac{1}{2}[/tex]

------------------------------------------------------------------------

The slope for a perpendicular line is 2.

Answer:

dunny but 4950

Step-by-step explanation:

4960-

Answer:

stylo fabric customer care 9903160322##8944928267

Answer:

the degree is the largest exponent on the variable

answer - 6

see the photos above given

Answer:

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

The solutions are

[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]

The Real roots are

[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]

Step-by-step explanation:

[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]

Multiply both sides by [tex]x^4[/tex]

[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]

[tex]$18+x^2=4x^4$[/tex]

[tex]4x^4-x^2-18=0[/tex]

Substitute [tex]x^2=t[/tex]

[tex]4t^2-t-18=0[/tex]

Solving the quadratic equation using the quadratic formula:

[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]

[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]

[tex]$t=\frac{1\pm 17}{8}$[/tex]

[tex]$t_1=\frac{9}{4}$[/tex]

[tex]t_2=-2[/tex]

Now we have to solve for [tex]x^2=t[/tex]

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

Answer:

x (x + 4) (x - 4)

Answer: m=vD

Step-by-step explanation:

To get m alone, you want to use algebraic properties.

[tex]D=\frac{m}{v}[/tex]                  [multiply both sides by v]

[tex]m=vD[/tex]    

Now that we have mass alone, we know that m=vD.