2. If one angle of a parallelogram is 70°, find
the degrees in the remaining 3 angles.

Answer:7 sr 2

Step-by-step explanation:

The length of side GH in an isosceles right triangle where angle G is 45 degrees and side HI is the hypotenuse equal to 7, is 7/√2 or 7√2/2 when rationalized.

You asked about finding the length of side GH in a right triangle where angle G equals 45 degrees, and side HI equals 7. In an isosceles right triangle, the lengths of the two legs are equal. As angle G is 45 degrees, it indicates that triangle GHI is an isosceles right triangle. Using the concept that in such a triangle, the lengths of the legs are equal, since they correspond to the sine and cosine of 45 degrees, which both equal 1/√2.

Given that HI is the hypotenuse and GH is one of the legs, we can use the relationship between the sides: GH = HI * cos(45°) = 7 * 1/√2. Therefore, the length of side GH is 7/√2 or 7√2/2 when rationalized.

Answer:

The proposed way of sampling is a biased way to perform the survey.

Step-by-step explanation:

Convenience sampling is a kind of non-probability sampling method that comprises of the sample being taken from that portion of the population that is near to hand.  In this type of sampling method, all items doesn’t have an equivalent chance of being selected, which doesn’t comprises of random collection of items.

Convenience sampling is where we take in items which are easy to reach.

Convenience sampling consists of selection bias, i.e.e the bias involved in the sample due to inappropriate selection procedures.

For example, randomly selecting 4 people sitting near him to guesstimate the mean age of the class is a convenience sampling example. or gathering information on customer satisfaction by interviewing 6 randomly selected customers from a local store is an illustration of convenience sampling.

In this case, the sample suggested by the students consists of surveying the first 100 people who enter the school, about the public opinion on a school building project.

This is an example of convenience sample.

So, there is a selection bias present in the sample.

Thus, the proposed way of sampling is a biased way to perform the survey.

Answer:

47⁰, 133⁰

Step-by-step explanation:

Angles : x , 3x - 8

Sum = 180

x + 3x - 8 = 180

4x = 188

x = 47

Angles are 47 , 133

Answer:

= 1/4

Step-by-step explanation:

We can find the slope given two points by using the following formula

m = (y2-y1)/(x2-x1)

    = (-4 - -2)/(-4 -4)

   = (-4+2)/(-4-4)

   = -2/-8

  = 1/4

Answer:

I think the slope is 1/4

Step-by-step explanation:

if you use the slope equation y1-y2/x1-x2, then you get (-2 - -4)/(4 - -4), which is 2/8, which is 1/4

Answer:

-((2x - y) (3x + y))

Step-by-step explanation:

The correct statement is

The data is skewed right.

The lower and upper quartiles are shown on the left and right sides of a box and whisker plot, respectively. The interquartile range, which contains 50% of the data, is covered by the box. The median is the vertical line that divided the box in half.

We have a box and whisker plot.

Based on the position of the median value in the box plot, we may decide if a distribution is skewed or not. The distribution is right-skewed (or "positively" skewed") when the median is closer to the bottom of the box and the whisker is shorter on the lower end of the box.

A right-skewed distribution with a positive skewness is one in which the median is smaller than the mean. The median of a left-skewed distribution is bigger than the mean when the skewness is negative, on the other hand.

Here, the data is shorter on the lower end of the box.

Thus, the plot is positively skewed.

Learn more about Box and whisker plot here:

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Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:Para pasar el número decimal 1.83333 a fracción, siga los siguientes pasos:

Paso 1: Escriba el número como una fracción de 1 (uno):

1,83333 = 1,83333/1

Paso 2: Multiplica simultáneamente el numerador y el denominador por 10 tantas veces cuánto los dígitos después de la coma (separación entre la parte entera y la parte fraccionaria del número):

Como tenemos 5 números después de la coma, multiplique el numerador y el denominador por 100000. Así,

1,83333/1 = (1,83333 x 100000)/(1 x 100000) = 183333/100000.

Tenga en cuenta que multiplicar por 10 es el mismo que desplazar la coma a la derecha una posicion.

Una vez que esta fracción es irreductible, es decir, está en forma reducida, ya no podemos simplificarla. La respuesta es la fracción anterior.

Como el numerador es mayor que el denominador, tenemos una fracción IMPRORIA, entonces podemos expresarla como un NÚMERO separación, así 183333/100000 también es igual a 1 83333/100000 cuando se representa por un número mixto.

Step-by-step explanation:

Answer:

c 83.10

Step-by-step explanation

3.14 times 2.3 times 5

Answer:

The possible values of d, the length of the diameter is d > 2.55 meters.

Step-by-step explanation:

The circumference of a circle is:

[tex]C=2\pi r=\pi\ d[/tex]

Here,

C = circumference

r = radius

d = diameter

It is provided that the circumference is greater than 8 meters.

That is,

[tex]C>8\\\pi\cdot d>8[/tex]

Use the value of π as 3.14.

Compute the range of values of d as follows:

[tex]\pi\cdot d>8\\\\3.14\times d>8\\\\d>\frac{8}{3.14}\\\\d>2.55[/tex]

The diameter of the circle is greater than 2.55 meters.

Thus, the possible values of d, the length of the diameter is d > 2.55 meters.

Answer:

To simplify the answer above, D

Step-by-step explanation:

The larger number is 37 and the smaller number is 25.

To solve this problem, let's assume that the larger number is x and the smaller number is y.

According to the problem, x - y = 12 and 4x - 25 = 48 + 3y. We can solve this system of equations by substituting the value of x from the first equation into the second equation.

Therefore, the larger number is 37 and the smaller number is 25.

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Answer:

[tex]2\frac{1}{3}\: ft[/tex]

Step-By-Step Explanation:

[tex]Height\: of \:sail = 1\frac{1}{6}\: ft = \frac{7}{6}\: ft\\Base\: of \:sail = 4\: ft \\Area\: of \:sail =\frac{1}{2} \times base \times height\\=\frac{1}{2} \times \frac{7}{6} \times 4\\= \frac{7}{6} \times 2\\=\frac{7}{3}\\=2\frac{1}{3}\: ft[/tex]

Answer:

By year 2092

Step-by-step explanation:

In this question, we are asked to calculate the year at which the population of the city will reach 178,000

The equation that models the population of the city is given as;

A = 119e^0.027t

Here, we plug A to be 178,000

178000 = 119e^0.027t

we take the natural logarithm of both sides)

ln 178,000 = ln (119e^0.027t)

12.09 = 0.027t ln 119

12.09/ln 119 = 0.027t

2.53 = 0.027t

t = 2.53/0.027

t = 93.7 which is approximately 94 years

Since t is number of years after 1998, the exact time the population will reach 178,000 will be 1998 + 94 years = 2,092

Answer:

The population of the city will reach 178 thousand almost 15 years after 1998, that is, in the last months of 2012.

Step-by-step explanation:

The equation to be solved is:

[tex]178 = 119\cdot e^{0.027\cdot t}[/tex]

Now, the variable is cleared with the help of algebraic handling:

[tex]\frac{178}{119} = e^{0.027\cdot t}[/tex]

[tex]\ln \frac{178}{119} = 0.027\cdot t[/tex]

[tex]t = 37.037\cdot \ln \frac{178}{119}[/tex]

[tex]t \approx 14.913\,yr[/tex]

The population of the city will reach 178 thousand almost 15 years after 1998, that is, in the last months of 2012.

Answer:40

Step-by-step explanation:

us 40

Answer:

84

Step-by-step explanation:

Hello there!

We could solve this with an equation, but just think about it. The given expression shows that 21 is 1/4 of x. So just multiply 21 by 4 and get 84.

;)

Answer:

21.89

Step-by-step explanation:

add and subtract

In a right triangle with an angle of 53.1 degrees, and sides 3/5 and 4/5, the sine is 4/5, the cosine is 3/5, and the tangent is 4/3. aThese methods and results are a fundamental part of understanding trigonometric functions in Mathematics.

In this scenario, you were given a right triangle inscribed in the first quadrant of the unit circle. The angle of the triangle is given as 53.1 degrees, the horizontal length (adjacent side) is 3/5, and the vertical length (opposite side) is 4/5. We can calculate the trigonometric functions based on this. Trigonometry revolves around the relationship between side lengths of triangles and the angles they form.

Sine (sin) of an angle is defined as the ratio of the length of the side that is opposite the angle to the length of the longest side of the triangle (hypotenuse). Here, sin(53.1) = Opposite/Hypotenuse = 4/5.

The Cosine (cos) of an angle is defined as the ratio of the length of the adjacent side of the angle to the hypotenuse. So, cos(53.1) = Adjacent/Hypotenuse = 3/5.

The Tangent (tan) of an angle is the ratio of the sine of the angle to the cosine of the angle, which also equals the ratio of the opposite side to the adjacent side. Tan(53.1) = Sin(53.1)/Cos(53.1) = (4/5) / (3/5) = 4/3.

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The sine, cosine, and tangent of an angle in a right triangle inscribed in the first quadrant of the unit circle are respectively equal to the ratios of opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides. So, in your case where the triangle has an angle of 53.1 degrees, horizontal length 3/5, and vertical length 4/5, sinθ = 4/5, cosθ = 3/5, and tanθ = 4/3.

In the right triangle you mentioned, the hypotenuse is the radius of the unit circle which is 1, the horizontal length (adjacent side, often represented as x) is 3/5, and the vertical length (opposite side, often represented as y) is 4/5. The quoted angle, usually symbolized as θ, is 53.1 degrees. With this information, we can calculate the trigonometric functions as follows:

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Answer:

Step-by-step explanation:

[tex]\frac{15}{100}[/tex]×100 = 15%

Answer:

Then people will know anything inside those lines is positive.

Step-by-step explanation:

Hope this helps:)

Answer:

because there is 3 sides

Step-by-step explanation:

Answer:

q

Step-by-step explanation:

q^6 / q^5

Division by exponents is done by subtraction

a^b / a^c = a^(b-c)

q^6 /q^5 = q^(6-5) = q^1 = q

Answer:

£503.75

Step-by-step explanation:

Answer:

The correct option is;

The ratio of the area of the scale drawing to the area of the sign is equal to the square of the scale factor

Step-by-step explanation:

Here we have a scale factor of 1:8

Therefore area of drawing = 1/2×base, b×height, h = 1/2×b×h

Hence, the area of the triangular sin will be given by 1/2×8×b×8×h

Area of triangular sign = 64 × 1/2×b×h

Hence the ratio of the area of the scale drawing to the area of the triangular sign is equal to the square of the scale factor.

Answer:

the scale factor is 2

the area of the scale drawing is 3.75

and the last one is square

Step-by-step explanation:

edge 2021

Answer:

162

Step-by-step explanation:

24 x 3 = 72

5 x 18 = 90

90 + 72 = 162

Answer:

162

Step-by-step explanation:

3*24=72 and 5*18=90 then add them together and they equal 162

Answer:

the answer you will be looking for is g^2x - g^3x = -3

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

Answer:

Solve: 9^2x+1 = 9^3x-2

= 3

Step-by-step explanation:

Answer:

C = 2 t + 18

This equation satisfy the general formula from a linear model:

[tex] y= mx +b[/tex]

Where m represent the slope and b the intercept.

And for this case the number 2 represent the slope for the model and is telling to us that if we increase the number of toppings by 1 unit we would expect an increase in the cost of 2 dollars.

The 18 is a fixed cost and represent the intercept for the model

Step-by-step explanation:

For this case we know that the cost in dollars, C for a pizza based, with t numbers of toppings can be determined with the equation

C = 2 t + 18

This equation satisfy the general formula from a linear model:

[tex] y= mx +b[/tex]

Where m represent the slope and b the intercept.

And for this case the number 2 represent the slope for the model and is telling to us that if we increase the number of toppings by 1 unit we would expect an increase in the cost of 2 dollars.

The 18 is a fixed cost and represent the intercept for the model

Answer:

sorry can we have more info?

Step-by-step explanation:

Answer:

15m2

Step-by-step explanation:

hope this help.

Answer:

f= t/mg - 4/g

Step-by-step explanation:

So the final solution for [tex]\( F \)[/tex]is:

[tex]\[ F = \frac{T - 4M}{MG} \][/tex]

To solve the equation [tex]\( T = M(4 + FG) \)[/tex] for [tex]\( F \)[/tex], you would follow these steps:

Step 1: Distribute the [tex]\( M \)[/tex]to terms inside the parentheses:

[tex]\[ T = 4M + MFG \][/tex]

Step 2: Move the term containing [tex]\( F \)[/tex] to one side of the equation:

[tex]\[ MFG = T - 4M \][/tex]

Step 3: Divide both sides by [tex]\( MG \)[/tex] to isolate [tex]\( F \)[/tex]:

[tex]\[ F = \frac{T - 4M}{MG} \][/tex]

Complete correct question:

How do you solve [tex]T=M(4+FG)[/tex] for [tex]F[/tex] ?

Answer:

karlen predicted it will take 1.7 hours longer than he actually did

Step-by-step explanation:

If Karlen started painting the walls at 10:45 am, and he said that he could complete the job at 5:25 pm.

Which means he thought he would spend 6 hrs 40 minutes or 6⅔ hours or 20/3

Now, his father said ⅝ of that time was going to be enough to paint the whole wall.

Thus; estimated time by father to paint whole wall = ⅝ x 20/3 = 25/6 hours.

Now, it says karlen took 80% of an hour longer than the time predicted by his father to finish the painting.

Thus, karlen actually spent;

25/6 + 80/100 hours = 25/6 + 4/5 = 149/30 hours

Thus, since karen predicted he was going to spend 20/3 hours, the difference is;

20/3 - 149/30 = 1.7 hours

So karlen predicted it will take 1.7 hours longer than he actually did

Answer:

1.7 hours

Step-by-step explanation:

Answer:

410 miles

Step-by-step explanation:

total distance covered (d) = 1640 miles

total time taken (t) = 4 hrs

average distance per hour= d/t

= 1640/4

= 410 miles

Answer:

410 mph

Step-by-step explanation:

[tex]average \: speed \\ = \frac{1640}{4} \\ = 410 \: mph[/tex]