Determine the solution

Answer:

x = 16.2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 54°

Hypothenus = 20

Opposite = x =?

The value of x can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 54° = x / 20

Cross multiply

x = 20 × Sine 54

x = 20 × 0.8090

x = 16.2

Thus, the value of x is 16.2

Answer:

those are corresponding angles

Step-by-step explanation:

6x=5x+10

-5x on both sides of the equal sign

x=10

Answer:

x= 3

Step-by-step explanation:

12 ÷ 4 +3

The algebraic expression 4x = 12 represents "four x equals twelve" and the solution of the expression 4x = 12 is the value of variable x is 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given statement is "four x equals twelve"

According to the given question, translate the phrase into an algebraic expression:

⇒ 4x = 12

Thus, the algebraic expression is 4x = 12 represents "four x equals twelve"

Now the above expression solves for variable x,

⇒ 4x = 12

Divided by 4 into both sides of the above equation,

⇒ 4x / 4 = 12 / 4

⇒ x = 3

Therefore, the solution of the expression 4x = 12 is the value of variable x is 3.

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Answer:

6

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

128 :)

Step-by-step explanation:

The area of the given triangle in the figure is 64 ft.².

A triangle is one of the most elementary geometric figures with 3 edges, 3 angles, and 3 vertices. The sum of the three angles of a triangle is 360°. The area of a triangle can be found using many methods but the most basic method is to half the product of height and length of the base of the triangle.

Given that

The height of the given triangle is 16 ft. and the length of the base is 16 ft.

As it is known that the area of a triangle is defined as

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times height\times base[/tex]

So,

[tex]Area\ of\ a\ triangle = \frac{1}{2}\times 8\times 16\\Area\ of\ the\ triangle = 64 ft.^2[/tex]

Thus, the area of the given triangle is 64 ft.².

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Answer:

Step-by-step explanation:

area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²

Answer:

[tex]\displaystyle a = \frac{8}{5}[/tex].

Step-by-step explanation:

Two vectors [tex](x_1,\, y_1)[/tex] and [tex](x_2,\, y_2)[/tex] are parallel to one another if and only if the ratio between their corresponding components are equal:

[tex]\displaystyle \frac{x_1}{x_2} = \frac{y_1}{y_2}[/tex].

Equivalently:

[tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex].

For the two vectors in this equation to be parallel to one another:

[tex]\displaystyle \frac{a}{4} = \frac{2}{5}[/tex].

Solve for [tex]a[/tex]:

[tex]\displaystyle a = \frac{8}{5}[/tex].

[tex]\displaystyle \frac{8}{5}[/tex] would be the only valid value of [tex]a[/tex]; no other value would satisfy the [tex]\displaystyle \frac{x_1}{y_1} = \frac{x_2}{y_2}[/tex] equation.

Answer:

Step-by-step explanation:

5

Answer:

y and x are supplementary angles as p is transversal of l and m:

z is same as 86° as vertical angles:

w and z are supplementary angles as g is transversal of l and m:

9514 1404 393

Answer:

  B.  (4, 5π/3)

Step-by-step explanation:

If you sketch the location of the point, you find the coordinates correspond to the side lengths of a 30°-60°-90° "special" triangle. The reference angle is 60°, or π/3 radians, and the magnitude of the vector is twice the short dimension, so is 2×2 = 4.

The polar coordinates are (4, 5π/3).

Answer:

1.4

Step-by-step explanation:

Answer:

I just did this on Delta Math lol:

Answer: 155.3 ft

Step-by-step explanation:

No, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.

Based on a sample from a population, a confidence interval is a range of values that is likely to include the true value of that population parameter. In statistics, samples are frequently used to calculate population characteristics like the mean or percentage. The estimate could not be precisely equal to the real value of the population parameter, though, as the sample is only a portion of the population.

According to the statement in the issue, there should be between 19.8 and 31.5 unbroken crackers in a bag of a specific size with 95% confidence.

Hence, no, this is not a plausible value for the population mean, because 30 is not within the 95% confidence interval.

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Answer:

A = 6

B = 6

C = 7

D = 4

Step-by-step explanation:

Answer:

Answer. so the answer is 15. you got 15 questions right.

Step-by-step explanation:

Answer:

72. If the second 3cm has some relevance, leave a note and I'll come back and modify my answer.

Step-by-step explanation:

Givens

L = 6 cm

W = 3 cm

H = 2 cm

I don't know what the extra 3 cm is for.

Formula

SA = 2*L*W + 2*L*H + 2*H*W

SA = 2*6*3 + 2*6*2 + 2*2*3

SA = 36 + 24 + 12

SA = 72

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Since we're working with fractions, and the thirty ounce bucket is equivalent to 30/30. In order to make this easier, let's use the denominator of 30 for all of the fractions. Now that we've made them all equal, turning 1/10 to 3/30, and 2/5 to 12/30, let's add. 12 + 3 is 15, and 15/30 is half of 30/30. There was 15 ounces, or 1/2 of the tub, left.

Answer:

It is (C) (6,5)

Step-by-step explanation:

Answer:

the answer is c :D

Answer:

66 1/6ft

Step-by-step explanation:

I have calculated by saying perimeter =2(length+width). I think that's the answer hope it helps.

Answer: 46 1/4

Step-by-step explanation:

Perimeter = (L+W) x 2

So basically ... (10 1/4 + 12 5/6) x 2

Which would be ...  23 1/12 x 2

Which gives you the answer of 46 and 1/4

Answer:

140 :)

Hope this helps

Step-by-step explanation:

Tell me if I am right

Answer:

124

Step-by-step explanation:

Elm St. and Oak St. are parallel lines.

Cedar St. is a transversal to the other two streets.

When parallel lines are cut by a transversal, corresponding angles are congruent.

The angles with measures 9x + 61 and 3x + 103 are corresponding angles, so they are congruent and have the same measure.

9x + 61 = 3x + 103

Subtract 3x from both sides.

6x + 61 = 103

Subtract 61 from both sides.

6x = 42

Divide both sides by 6.

x = 7

9x + 61 = 9(7) + 61 = 63 + 61 = 124

3x + 103 = 3(7) + 103 = 21 + 103 = 124

Answer:

-1.29897714066

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cos90° - sin45°

= 0 - [tex]\frac{\sqrt{2} }{2}[/tex] ( exact value of sin45° )

= - [tex]\frac{\sqrt{2} }{2}[/tex]

≈ - 0.707 ( to 3 dec. places )

Answer is 4%

If you keep subtracting 20.8 with any percent at all you would find your answer

If you need more work shown i will give you more by saying it in comments. ^^

The mass of Sand that Carla needs to purchase for the sand tank is gotten to be; 25811 g

Formula for density is;

Density = mass/volume

From the box we are given, it's volume is;

Volume = 30 * 30 * 76

Volume = 68400 cm³

Now, from conversion;

1 cm³ = 1g. Thus;

68400 cm³ = 68400 g

Volume = Mass/density

Volume = 68400/2.65

Volume = 25811 g

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9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of arcs of a circle is 360°, so the measure of arc CD is ...

  CB +BD +CD = 360°

  CD = 360° -140° -140° = 80°

The measure of inscribed angle B is half the measure of the arc it subtends:

  ∠B = arc CD/2 = 80°/2

  ∠B = 40°

Answer:

40 degrees

Step-by-step explanation:

Answer:

22.5 cm

Step-by-step explanation:

length times width times height

Answer:

Test statistics of 1.455

P-value = 0.0728

Step-by-step explanation:

From the given information:

The test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}[/tex]

Z = 1.455

We want to test if the customer satisfaction increased significantly(one-tailed test)

Null hypothesis:

[tex]H_o : p= 0.32[/tex]

Alternative hypothesis:

[tex]H_a: p>0.32[/tex]

P-value = P(Z>1.455)

= 0.0728

b) Type II error implies the error of accepting [tex]H_o \ (i.e\ \text{ the null \ hypothesis)}[/tex]when [tex]H_a \ (i.e\ \text{ the alternative \ hypothesis)}[/tex] is true.

This implies inferring that there is no huge improvement in passenger's satisfaction when there is.

c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.

∴ A Smaller value of Type II error will be achieved by a higher type I error.

⇒ 0.10