Solve the equation below, remember to check for extraneous solutions.

Answer:

I think its D 30

Step-by-step explanation:

Answer:

12.73 Degrees

Step-by-step explanation:

I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.

We draw our right triangle, see photo

We really only care about finding out what side a is so

[tex]c = \frac{a}{ \sin(x) } [/tex]

Note: Let x = A

[tex]12 = \frac{a}{ \sin(36) } [/tex]

[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]

[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]

So, since I stated that height did not change, same process just using 32 for the hypotenuse.

[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]

Answer:

6

Step-by-step explanation:

By inscribed angle theorem

[tex](15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6[/tex]

Answer:

2√3 = hypotenuse

√3 = side

Step-by-step explanation:

[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]

Answer:

the smaller side=√3

hypotenuse=2√3

Step-by-step explanation:

(see the attachment below)

Answer:

36 cm

Step-by-step explanation:

Perimeter = sum of lenght of all sides

Perimeter = 6 + 10 + 8 + 12

Perimeter = 36 cm

Answer:

45 degree

Step-by-step explanation:

Answer:

Hi, I'm here!

Answer:10% rate:

Principal = p

Rate = 0.10

Interest = 0.10p

5% rate:

Principal = 15500 - p

Rate = 0.05

Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:

Principal = p = $13,500

5% rate:

Principal = 15500 - p = 15500 - 13500 = $2000

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

                                            Alloy A        Alloy B

Sample mean                    [tex]\bar {x} _A = 49.5[/tex]      [tex]\bar {x} _B = 45.5[/tex]

Equal standard deviation    [tex]\sigma_A = 5[/tex]         [tex]\sigma_B= 5[/tex]

Sample size                          [tex]n_A = 30[/tex]        [tex]n_{B}= 30[/tex]

Mean of the sampling distribution is :

[tex]\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0[/tex]

Standard deviation of sampling distribution:

[tex]\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909[/tex]

Hypothesis testing.

Null hypothesis:  [tex]H_o: \mu_A -\mu_B = 0[/tex]

Alternative hypothesis:  [tex]H_A:\mu_A -\mu_B > 4[/tex]

The required probability is:

[tex]P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010[/tex]

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

b)

Since the P-value is very small which is lower than any level of significance.

Then, we reject [tex]H_o[/tex] and conclude that there is enough evidence to fully support alloy A.

Answer: 24m

Step-by-step explanation:

How much carpet is asking the area and area= LW

so Length(4) x Width(6) = 24

Answer:

42.50 units²

Step-by-step explanation:

Area of the trapezoid = ½(AB + DC)×AD

AB = 6

DC = 11

AD = ?

Use trigonometric function, TOA to find AD:

Tan 45 = Opp/Adj

Opp = AD

Adj = 11 - 6 = 5

Tan 45 = AD/5

5 × tan 45 = AD

AD = 5

✔️Find Area of trapezoid.

Area = ½(AB + DC)×AD

= ½(11 + 6)×5

= 42.50 units²

9514 1404 393

Answer:

  (c)  3

Step-by-step explanation:

The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.

  x > 3

Answer:

1: 10+6 x 6 = 96cm

2: 14 + 8 x 5 = 110cm

3: 9 + 14 x 20 = 460cm

Step-by-step explanation:

Hope this helps.

Answer: The answer is 39 square feet.

Step-by-step explanation:

By saying square feet it's indicated that you mean the area of this irregular figure.

To do this you can break apart the shape into two pieces.

The first 11 x 3 rectangle then the 2 x 3 rectangle.

Next, you can find the area to be 33 square feet and 6 square feet. respectively, afterward, you add the areas together to find the area of the figure, which is 39 square feet.

Answer:

x = 7/4

Step-by-step explanation:

3x+ 2 = 9 –x

3x + x = 9 - 2

4x = 7

x = 7/4

Answer:

14 children are wearing a red shirt in the park.

Step-by-step explanation:

The fraction 7/8 is 7 out of 8 but your total kids is 16 so we can go ahead and multiply by 2.

(7*2)/(8*2)

14/16

So now it's 14 out of 16 kids which is the total you have.

Conclusion: 14 Children are wearing a red shirt in the park.

D) $9150.73

Step-by-step explanation:

Simple compound irate =

principal*growth rate^years

or

V(t) = p*g^t

Where g = 100% + the given growth rate,

in this case, 5.2%

So,

V(8) = 6,100*1.052^8

V(8) = 9150.73

Answer:

3x^5y^6 (a)

Step-by-step explanation:

La raiz de un productor es igual al producto de las raices de cada factor

^4√81 ^4√x^20 ^4√y^24

escriba el numero en forma exponencial an base 3

^4√3^4 ^4√x^20 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 ^4√y^24

simplifica el indice de la raiz y el exponente usando 4

^4√3^4 x^5 y^6

simplifica el indice de la raiz y el exponente usando 4

3x^5y^6

Answer:

5/9

Step-by-step explanation:

Answer:

i think is 5/9 :))

Answer:

4x+10

Step-by-step explanation:

Judith= x

Harry = 2x

Janessa= x+10

expression in total= x+2x+x+10 = 4x+10

Answer:

11. 4400

Step-by-step explanation:

11.

solution :

MP = RS 5500

Discount = 20%

SP = MP - D % of MP

= 5500 - 20 % × 5500

= 5500 - 1100

= Rs 4400

Answer: 9514 1404 393

3 : 2

3/2

1.5

Step-by-step explanation:

Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)

3 ounces of peanuts to 2 ounces of almonds can be written as ...

 peanuts : almonds = 3 : 2 = 3/2 = 1.5

Answer:

p-5

substitute

simplify

subtracting

2

Step-by-step explanation:

got it right on edg

Step-by-step explanation:

no solutions

because the absolute value of any number can never be negative.

Answer:

Step-by-step explanation:

The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?

Answer:

1/2 < 3/4,

6/12 < 5/8,

2/3 = 4/6,

3/8 > 1/4

Step-by-step explanation:

Plz mark as Brainllest

Answer:

Negative

Step-by-step explanation:

The line is trending downwards, which is indicative of a negative slope.

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Answer: 12

Explanation:

6 / 1/2 = 6 x 2 = 12

I hope this helped!

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- Zack Slocum

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