8 Level Problems (Challenging, Unfamiliar)
4. In a right triangle, the hypotenuse is 3 times the length of the shorter leg. The longer leg is 5cm. Find
the length of the hypotenuse.

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

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:

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:

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Answer: A

Step-by-step explanation:

Answer:

The y-intercept is -6.

Step-by-step explanation:

Answer: the answer would be 75.6 i think, sorry if that's wrong

Step-by-step explanation:

38-9.4=28.6

28.6+47=75.6

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)

Answer:

Yes; domain: all real numbers; range: y [tex]\geq[/tex] 0

Step-by-step explanation:

1. Use the vertical line test to see if it is a function.

2. Figure out what the lowest and highest point x can be. In this case x can be any number

3. Figure out what the lowest and highest point of y can be. In this case y is not negative, the lowest it can be is 0. So y [tex]\geq[/tex] 0

*Note: Domain are the x values & Range are the y values

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

From the given graph we need to check whether it is a function.

The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.

For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

From the graph we can see all the y values are equal and greater than y.

That is, y ≥ 0

Yes; domain: all real numbers; range: y ≥ 0. Therefore, option B is the correct answer.

To learn more about the domain and range of the function visit:

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Answer:

c

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

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

Answer:

stylo fabric customer care 9903160322##8944928267

Answer:

the degree is the largest exponent on the variable

answer - 6

Answer:

dunny but 4950

Step-by-step explanation:

4960-

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:

≈ 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: 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.

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:

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.

__

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.

__

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.

__

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

__

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.)

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.

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

Answer:

x (x + 4) (x - 4)

Answer:

-32=2x-14

Step-by-step explanation:

-32=2x-14

-18=2x

-9=x

Answer:

2x-14 =-32

Step-by-step explanation:

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:

Surface Area =237.5

Answer:237.5

Step-by-step explanation:

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:

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:1=£34.2

2=£66.6

3=£9.18

4=£13,158

Step-by-step explanation:

We are decreasing the prices by 10%

1.£38

£38 = 100%

? =90%

90×38÷100=£34.2

2.£74

£74=100%

? = 90%

90×74÷100=£66.6

We are increasing the the salaries by 2%

1.£9

£9=100%

? =102

102×9÷100=£9.18

2.£12900

£12900=100%

? =102%

102×12900÷100=£13,158