Find m∠1. 40° 50° 65° 70°

Answer:24

Step-by-step explanation: AB= x+8, BC=4x-4. They are equal to each other because B is the midpoint of A and C. therefore, we set them to equal, and simplify to 3x=12.(x+8=4x-4,-x, 8=3x-4, +4, 3x=12 ) That means x = 4, and then we plug that into the equations, getting AB and BC are both 12. We add them together and get 24/

Answer:

Step-by-step explanation:

given: B is the midpoint of AC

   so,             AB=BC

   i,e,         x + 8 = 4x - 4

                 8 + 4 = 4x - x

                     12  =  3x

                 12/3   = x

                  ∴ x = 4

so, AB = x + 8 = 4 + 8 = 12

     BC = 4x - x =4(4) - 4 = 16 - 4 = 12

                         12        +       12

                     о------------о------------о

                     A              B              C

                             AC = AB + BC = 12 + 12 = 24

                                        AC = 24

a. (H0): p = 0.50 (the politician is supported by exactly 50% of voters). (H1): p > 0.50 (the politician is supported by more than 50% of voters).

b. Sample proportion = 42/70 = 0.60 (or 60%).

c. Test statistic = (0.60 - 0.50) / sqrt(0.50 * (1 - 0.50) / 70) ≈ 1.61

d. The value and conclusion cannot be determined without knowing the chosen significance level (α) or having information about the critical value or p-value associated with the test statistic.

a. The null hypothesis (H0) in this case would be P = 0.50, indicating that the politician is supported by exactly 50% of the voters. The alternative hypothesis (Ha) would be p ≠ 0.50, suggesting that the proportion differs from 50%.

b. To calculate the sample proportion, we divide the number of voters supporting the politician (42) by the total number of voters surveyed (70):

Sample proportion (p) = 42/70 = 0.60 (rounded to 2 decimal places).

c. The test statistic (z) can be computed using the formula:

z = (p - P) / √(P(1 - P) / n),

where p is the sample proportion, P is the null hypothesis proportion, and n is the sample size. In this case, P = 0.50 and n = 70. Substituting these values, we have:

z = (0.60 - 0.50) / √(0.50(1 - 0.50) / 70) = 2.26 (rounded to 2 decimal places).

d. To determine the value of the test statistic, we compare the computed test statistic (z = 2.26) with the critical values corresponding to the chosen level of significance (e.g., 0.05). By comparing the test statistic with the critical values from a standard normal distribution table, we can evaluate the statistical significance of the results and make conclusions about the claim made by the politician.

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Step-by-step explanation:

we have

2x + 3y = 6

4x + 6y = 12

do you see it right away ? both equations describe the same function or line.

the second equation is just the first equation with everything multiplied by 2. but because that happened on both sides of the equation, the equation itself is not changed.

we could divide equation 2 by 2 again, or multiply it further by e.g. 15 (as always on both sides of the equation) or, or, or ...

it would not change the information defined by the equation, and the corresponding line would still be the same.

so, both equations represent the same line.

that means both lines are covering each other perfectly (as they are identical), and so we have infinitely many intersections or solutions.

Answer:

b,c,e,d,a,f

Step-by-step explanation:

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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Answer:

12/20

Step-by-step explanation:

Answer:

The last choice is correct

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio is defined as:

\(\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}\)

It's required to calculate the sine of angle C. The opposite leg to angle C is 16 and the hypotenuse is 20, thus:

\(\displaystyle \sin C=\frac{16}{20}\)

The last choice is correct

The statement (a) is true. Emojis are extensively utilized in today's social media posts and messages. According to the given information, posts with emojis receive several benefits. They tend to get liked 57% more often, receive 33% more comments, and are shared 33% more frequently compared to posts without emoticons.

Emojis have become an integral part of online communication as they play a vital role in conveying emotions and meaning. They allow individuals to express joy, sorrow, confusion, frustration, anger, and various other emotions. By using emojis, people can visually express their thoughts and feelings, surpassing language barriers. Emojis possess the power to communicate complex messages in a simple and concise manner, which is why they have gained immense popularity on social media platforms.

For marketers and social media influencers, incorporating emojis in their posts can be highly advantageous. The presence of emojis can attract more engagement and interaction from their followers, thereby enhancing the effectiveness of their content. Emojis serve as a powerful tool for capturing attention, evoking emotions, and fostering connections in the digital realm.

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Answer:

I believe a pyramid has A. 5 faces

Answer:

A. 5

Step-by-step explanation:

A. 5 faces

The radius of the cylinder is 14 cm, the correct option is a-

We know that the volume of a cylinder of radius r and height h is given by:

volume = pi*h*r²

Where pi = 3.14

Here we know that the volume is 1.960pi, and the height is 10cm replacing that we will get:

1,960pi = pi*10*r²

1960 = 10r²

1960/10 = r²

√196 = r = 14

The radius is 14 cm, like in option a.

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Answer:

18 dollars

Step-by-step explanation:

well my teacher tought me to use something called a proportian box when you multiply the 60 * 210 equals 600 divided by 100 equals that 6 dollars of the interest then you multiply by 3 months with gives you 18 dollars in total

hope this helps

Answer:

57

Step-by-step explanation:

The radius r that produces the minimum surface area is 1.06 cm and the height h is 1.41 cm.

Let r be the radius of the cylinder and h be the height. You can find the equation for the volume of a solid by adding the volumes of the two hemispheres and the cylinder.

Volume = \((2/3)πr^3 + πr^2h\) = 10 cubic centimeters

Now let's find the values ​​of r and h that minimize the surface area of ​​the solid. This area consists of three parts:

Curved surfaces of two hemispheres and sides of a cylinder. This can be expressed as:

surface area = \(2πr^2 + 2πrh\)

To find the values ​​of r and h that minimize this expression, we can use the Lagrangian multiplier method. Given that the volume of the solid is 10 cubic centimeters, we want to minimize the surface area. So it looks like this:

\(f(r, h) = 2πr^2 + 2πrh + λ[(2/3)πr^3 + πr^2h - 10]\)

Taking the partial derivatives for r, h, and λ and setting them to zero gives

\(4πr + 2πh = 2πr^2λ + (4/3)πr^3λ\)

\(2πr = πr^2λ + πrhλ\)

Solving these equations simultaneously gives:

h = 4r/3

λ = 2/(3r)

Substituting these values ​​into the volume equation gives:

\(r^2h = 5/3\)

Substituting h = 4r/3 from above, we get:

\(r^3 = 15/8pi\)

Taking the cube root of both sides gives:

r=1.06cm

Substituting this value for r into the formula for h yields:

h=1.41cm

Therefore, the radius r that produces the minimum surface area is about 1.06 cm and the height h is about 1.41 cm.

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

1. 47 degrees

2. 119 degrees

3. 97 degrees

4. 62 degrees

Step-by-step explanation:

1. Just subtract 180 by 133 and there's your answer

2.  The lines are marked as parallel which causes the two angles listed to be equal

3. Subject 83 from 180 and that's it

4. Find the x value that makes the two equal.  Then plug the x value in and this is your angle

If a triangle with all sides of equal length has a perimeter of 15x + 27, the expression for the length of one of the sides is (5x + 9).

The perimeter of a triangle is the sum of the lengths of all three sides. If all the sides of the triangle are equal, you can find the length of one side by dividing the perimeter by 3. Here, the perimeter is given as 15x + 27.

Therefore, the length of one side will be (15x + 27) / 3 = 5x + 9. Hence, an expression for the length of one of the sides is (5x + 9).

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Answer:

The Area is 72.

Step-by-step explanation:

A=1/2d^2

A=1/2(12)^2

A= 1/2(144)

A=72

Hope I helped, Brainliest would be appreciated :)

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                  -Aadi x

The value of x = 75, y = 110

The measures of the labelled angles are: 95°, 85°, 70°

To find the measures of each labelled angle, first create an equation to find the value of x and y using angle relationship.

Thus, we have:

x + 20 + x + 10 = 180 [linear pair]

Solve for x:

2x + 30 = 180

2x = 180 - 30

2x = 150

x = 75

y + y - 40 = 180 [supplementary angles]

2y = 180 + 40

2y = 220

y = 110

x + 20 = 75 + 20 = 95°

x + 10 = 75 + 10 = 85°

y - 40 = 110 - 40 = 70°

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Answer:

All students in each grade

Step-by-step explanation:

We can determine coordinates if point t is between points u and v by checking if u < t < v or v < t < u.

To determine if point t is between points u and v, we need to compare their coordinates. If u < v, then point t is between points u and v if and only if u < t < v. On the other hand, if v < u, then point t is between points u and v if and only if v < t < u.

Whether or not point t is between points u and v depends on the relationship between the coordinates of u and v. If u < v, t must fall between them, and if v < u, t must also fall between them.

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Answer:

48 cubic inches

Step-by-step explanation:

base area is 4 so that's 2 for length and 2 for width

so, 12*2*2= 48

The news article related to a current, specific U.S. trade barrier issue is given below.

Trade barriers are government-induced restrictions on international trade.The barriers can take many forms, including the following:

Tariffs,Non-tariff barriers to trade, Import licenses, Export licenses,Import quotas, Subsidies, Voluntary Export Restraints, requirements, Embargo, Currency devaluation, Trade restriction.

Trade barriers such as tariffs raise prices and reduce available quantities of goods and services for U.S. businesses and consumers, that lead to lower income, reduced employment, and lower economic output.

An increase in U.S. trade barries may also result in a decline in international trade in the United States.

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Answer:

Equilateral

Step-by-step explanation:

It is Equilateral because all sides have the same number of lines(1) telling us that all sides are the same :)

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Answer:

Step-by-step explanation:

The value of the total area of the shaded region are,

⇒ 42 units²

We have to given that;

Sides of rectangle are,

AB = 9

BC = 6

Hence, The area of rectangle is,

⇒ 9 x 6

⇒ 54 units²

And, Area of triangle is,

A = 1/2 × 4 × 6

A = 12 units²

Thus, The value of the total area of the shaded region are,

⇒ 54 - 12

⇒ 42 units²

So, The value of the total area of the shaded region are,

⇒ 42 units²

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The vertex of the translated quadratic equation is:

(6, -4)

We know that we have a quadratic function f(x), such that the vertex is at (4, -4).

Here we have the translated function:

g(x) = f(x - 2)

Notice that this is a translation of 2 units to the right

Now, remember that the vertex of f(x) is at f(4), then the vertex of g(x) is at the value of x such that:

x - 2 = 4

x = 4 + 2

x = 6

So the vertex of g(x) is (6, -4)

(the y-value of the vertex does not change).

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Answer:

b

Step-by-step explanation: