PLSSSS HELPPPPP MEEE !!!!!

The required value of x is x = [tex]\sqrt{79}[/tex]

Given : A right angled triangle

This right angles triangle is again divided in two parts

the first part has measures 3 , z and the other side can be calculated by using The Pythagoras Theorem

According to this theorem

3² + z² = y²

thus 9 + z² = y² ------------------equation 1

Also 7 + 3 = 10

thus 10²  = z² + x²-----------------equation 2

And 7² + y² = x² --------------- equation 3

from equation 1 we know

9 + z² + 49 = x²

58 + z² = x²

Thus on substituting this in equation 2 we get

100 = 58 + z² + z²

42 = 2z²

21 = z²

z = [tex]\sqrt{21}[/tex]

thus x² = 58 + 21 = 79

x = [tex]\sqrt{79}[/tex]

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Most researcher fix level of significance at 5% i.e. they conclude a significant relationship when nothing is going on in 5% of cases. Hence,

Option A is correct which is 1.5%

Given that,

The majority of social scientists are willing to claim that a link is statistically significant if the likelihood of observing the relationship in the sample when nothing is happening in the population is greater than a certain threshold.

To find:

Less than what percentage of the population truly experiences nothing at all (i.e., random chance)

The majority of researchers set the level of significance at 5%, which means they draw conclusions about a meaningful association even when nothing is happening in 5% of cases.

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This graph represents a continuous function. Also, the domain of this function is 0 ≤ x ≤ 6 and the range of this function is 20 ≤ y ≤ 200.

Mathematically, a range can be defined as the set of all real numbers that is associated with the elements of a domain. This ultimately implies that, a range simply refers to the set of all possible output numerical values which are shown on the y-coordinate (y-axis) of the graph of a function.

In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined and it connects with the range.

This ultimately implies that, a domain is the set of all possible input numerical values to a function. Additionally, the domain of the graph of a function comprises all the input numerical values which are shown on the x-coordinate (x-axis).

From the information provided, the total weight of the barbell and plates in pounds is represented by this function:

f(x) = 30x + 20.

When x = 6, we have:

f(6) = 30(6) + 20.

f(6) = 180 + 20

f(6) = 200 lb.

Therefore, the domain is equal to 0 ≤ x ≤ 6 while the range of this function is 20 ≤ y ≤ 200.

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The vertex of the graph is (-2, 2), the axis of symmetry of parabola is -2 and the parabola opens downwards.

In the given question we have to find the vertex, axis of symmetry and whether the parabola opens upwards and downwards.

Firstly we find ing the vertex of the graph.

As we know that vertex is the highest and lowest point of the graph.

From the graph the highest point is (-2, 2).

So the vertex of the graph is (-2, 2).

As we know that the axis of symmetry always passes through the vertex of parabola. The x coordinate of the vertex of parabola is the axis of symmetry of parabola.

So the axis of symmetry of parabola is -2.

As we can see that the parabola opens downwards.

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Answer:

x=12°

Step-by-step explanation:

10x-20+6x+8=180°

16x=180+20-8

16x=192

x=12°

The completed statement with regards to Chang and Carlotta's methods used for solving the word problem is presented as follows;

A word problem in mathematics and science is the verbal presentation of the information in a scenario required to mathematically solve a problem.

The steps to solve the problem is presented as follows;

The amount in the bank account = $50

Amount made per hour by mowing lawns = $8

The number of hours put into mowing lawns in order to have a total of $130 in the account can be found by using the equation;

The amount in the account increases based on the number of hours used for mowing lawns, therefore;

130 = 50 + 8 × h

8·h = 130 - 50 = 80

h = 80/8 = 10

Ten hours of lawn mowing is required to have a total of $130 in the bank.

Chang's method involve the use of expressing the situation mathematically, by use of variables.

Carlotta's method involves the use of verbal expressions to outline the relationship between the variables, simplifying them to arrive at the determining variable that indicates the number of hours require.

Therefore;

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The new x-coordinate must be 2-2 = 0.

acc to our question-

Finding the distance between the known endpoint and the midpoint, then applying the same transformation to the midpoint, is the quickest technique to locate the missing endpoint. The x-coordinate changes in this situation from 4 to 2, or down by 2, hence the new x-coordinate is 2-2 = 0.

Hence,The new x-coordinate must be  = 0.

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The absolute value equation modelling this situation is presented as follows:

|x - 58.2| = 6.4.

The function giving the absolute value of another function is defined by the piece-wise rule presented as follows:

The result is never negative, as the function gives the distance of the function f(x) from the origin, which is the point in which f(x) = 0.

The difference between both the fastest and the slowest time from the average time of 58.2 seconds is of 6.4 seconds, hence the absolute value equation is given as follows:

|x - 58.2| = 6.4.

Which can be solved applying these following rules:

To find the fastest and slowest times, respectively.

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The approximate length of each side of the box is 18 inch.

The distance between the center of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian. The shortest path between any two points on a sphere called a geodesic. The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.

The circumference of a circle or other curved geometric object refers to its length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.

Given,

Circumference of circle = 56.5

c = π diameter

diameter = 3.14 × 56.5

diameter = 18

The approximate length of each side of the box is 18 inch.

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By solving  a system of two simultaneous linear equations, it can be calculated that

Alicia will need 3 twigs and 6 flowers

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here, a system of two simultaneous linear equation needs to be solved

Let the number of twigs Alicia needed be x and the number of flowers Alicia needed be y

Alicia has to create an arrangement of twigs and flowers that has a total of 9 objects.

x + y = 9 ..... (1)

Alicia wants the arrangement to have twice as many flowers as twigs

2x = y .... (2)

Putting the value of x in (1)

x + 2x = 9

3x = 9

[tex]x = \frac{9}{3}[/tex]

x = 3

Putiing the value of x in (2),

y = 2 [tex]\times[/tex] 3

y = 6

Alicia will need 3 twigs and 6 flowers

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Answer:

See below

Step-by-step explanation:

Horizontal lines have ZERO slope

Vertical lines have 'undefined' slope

for this example  x = 1/2    includes the point and has undiefined slope

Answer:

235

Step-by-step explanation:

When estimating the product of two decimals, first round the decimals to their nearest whole numbers.

Therefore,

So an estimate of the product of the two decimals is:

[tex]\implies 4.8 \times 47.1 \approx 5 \times 47[/tex]

Partition 47 into tens and units:

[tex]\implies 5 \times 47 = 5 \times (40 + 7)[/tex]

Apply the distributive property of multiplication over addition:

[tex]\begin{aligned}\implies 5 \times (40 + 7) &= (5 \times 40) + (5 \times 7)\\&=200+35\\&=235\end{aligned}[/tex]

Therefore:

[tex]\boxed{4.8 \times 47.1 \approx 235}[/tex]

Answer: A. 9

Step-by-step explanation:

3 is the amplitude, -4 is the minimum value, and 2 is the highest value.

acc to our question-

Hence,3 is the amplitude, -4 is the minimum value, and 2 is the highest value

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The graph of line 3x-y= -1 will be as follows.

What is a line?

A line is an endlessly long, straight object that, despite being drawn with a minimum width, is considered to have no particular width in mathematics.

Main Body:

slope = m = 3     point = (0,1)

The formula for one point form for a line is -

y-y₁ = m(x-x₁)

y- 1 = 3(x-0)

3x-y =-1

Now the graph for the line will be plotted by using the point given and the slope--

on Graph mark the point (0,1)

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Answer:

Cone

Step-by-step explanation:

The Angles are all triangle-shaped, but the bottom is circle-shaped.

The missing terms for the congruent angles are;

Complementary angles

m∠1 + m∠3 = 90°

Transitive property of equality

Subtraction property of equality;

Congruent angles.

Congruent angles are defined as the angles that have equal measure. Therefore, all the angles that have equal measure are called congruent angles.

We are given that;

∠1 and ∠2 are complementary

∠1 and ∠3 are complementary

Now, we are told that m∠1 + m∠2 = 90°. Complementary angles are defined as the 2 angles that sum up to 90 degrees. Thus, ∠1 and ∠2 are complementary by definition.

Similarly, m∠1 + m∠3 = 90°

By the transitive property of equality, we can say that;

m∠1 + m∠2 = m∠1 + m∠3

By the subtraction property of equality;

m∠2 = m∠3

Thus;

∠2 = ∠3 by definition of congruent angles.

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Answer:

2 : 12 and 3 : 24 are the two equivalent ratios

Answer:

this One...............

Given -

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Prove  -

How many grams of zinc does it chemical contain.

Answer

suppose that scalar multiple of the  zinc and copper be y .

As given

In a certain chemical, the ratio of zinc to copper is 4 to 13.

The chemical contains 546 grams of copper.

Than equation is

13y = 546

13y = 546

y = 42

Zinc contain in the certain chemical = 4y

                                             = 4 42

                                             = 168 grams

Therefore 168 grams of zinc contain in a certain chemical .

The height h of the triangle is equal 6.2cm

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle. The basic trigonometric ratios are sin, cos, and tan, namely sine, cosine, and tangent ratios.

In this case, we have some data and we can easily plug in those values and find the height.

We can apply the sine ratio to this problem and solve.

sinθ = opposite / hypothenuse

sin 51 = h /8

h = 8 sin 51

h = 6.2cm

Using trigonometric ratio, the value of h is 6.2cm

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The ideal mechanical advantage of this car Jack: 30cm

What is Ideal mechanical advantage?

The length of the effort arm of a lever divided by the length of the resistance arm represents the optimal mechanical advantage. The IMA is typically calculated as the resistance force (Fr) divided by the effort force (Fe). IMA is also equal to the product of the load's travel distance (dr) and the distance over which the effort is applied (de).

The Handle of the car jack = 75cm

The car lifted by the jack = 2.5cm

According to the formula:

Ideal mechanical advantage =  The resistance force /  The effort force

or, (Fr/Fe)

IMA = 75 / 2.5

IMA = 30cm

Hence, Ideal mechanical advantage of the car jack = 30cm

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Step-by-step explanation:

9x + 3y = 153

6x + 5y = 147

the first equation can be divided by 3 and then multiplied by 2. and from that we can subtract equation 2 :

9x + 3y = 153 | /3

3x + y = 51 | ×2

6x + 2y = 102

- 6x + 5y = 147

-----------------------

0 -3y = -45

3y = 45

y = 15

3x + y = 51

3x + 15 = 51

3x = 36

x = 12

1 bottle of water costs Rs 12.

1 bottle of juice costs Rs 15.

We can get heads for 200 times if we flipped the dime for 200 times.

What do you mean by Probability?

Probability is a mathematical measurement to measure the possibility of happening a particular incident or event mathematically.

Also, from the definition of probability, Probability is the ratio of the Number of Favorable event points to the number of total event points with respect to a particular event or incident.

[tex]Probability=\frac{Number of Favorable event Points}{Number of Total event Points}[/tex]

According to the given problem,

The probability of getting heads is 1.

Total number of flip of dime is 200

so, we can get heads from 200 flips [tex]=200*1=200 Times[/tex]

Hence, we get 200 heads from 200 flips of dime.

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In total 4 hours Suzette ran for 1 hour and biked for 3 hours having average speed 5mph and 15mph respectively.

What is Average Speed?

Average speed is defined as total distance covered by the body divided by the time taken.

Average speed = Total distance covered/ total time taken

According to the given question:

Let x = total hours ran and y = total hours biked

Total time she ran and biked = 4h

∴ x + y = 4 ----- 1)

Total distance she biked and ran = 50 miles

Now, average running speed = 5 mph

Distance she ran = 5x

Similarly average biking speed = 15 mph

Distance she biked = 15y

∴ 5x + 15y = 50 ----- 2)

Solving 1) and 2) to get the values of x and y

Substituting x = 4 - y from 1) in 2)

5 (4 - y) + 15y = 50

On solving further we get y = 3

Substituting y = 3 to get x

x = 4 - 3

x = 1

Hence the Suzette ran for 1h and biked for 3h.

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Answer:

9 km

Step-by-step explanation:

1/2 hr = 1800 seconds

3.7 m/s * 1800s    +   1.3 m/s * 1800 s  = 9000 m in 1 hr

   ( he walked AND ran this far)

The solutions are,

The radians wade sweep out is 2.875 radians.

When wade stops skiing, he is 0.799km to the right of the center of the ski trail.

When wade stops skiing, he is 0.003km above the center of the ski trail.

Given that;

Wade is traveling along a 0.8 km-radius circular ski trail. Wade moves 2.3 kilometers counterclockwise starting at the three o'clock position.

Radius (r) = 0.8km

Distance (s) = 2.3km

Here, we need to find three cases, they are;

Case(I): how many radians does wade sweep out;

The relation between radians and radius is given by,

s = rθ

2.3 = 0.8*θ

θ = 2.3/0.8

θ = 2.875

The radians wade sweep out is 2.875 radians.

Case (II): when wade stops skiing, how many km is wade to the right of the center of the ski trail;

Let, Ф = π - 2.875

      Ф = 0.266 radians

Then, x = r*cosФ

          x = 0.8*cos(0.266)

          x = 0.799

When wade stops skiing, he is 0.799km to the right of the center of the ski trail.

Case (III): when wade stops skiing, how many km is wade above the center of the ski trail;

Let, y = r*sinФ

      y = 0.8*sin(0.266)

      y = 0.003

When wade stops skiing, he is 0.003km above the center of the ski trail.

Therefore, the required solutions are;

The radians wade sweep out is 2.875 radians.

When wade stops skiing, he is 0.799km to the right of the center of the ski trail.

When wade stops skiing, he is 0.003km above the center of the ski trail.

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Answer:

  227.7 in²

Step-by-step explanation:

You want to know the area that is 30% of a canvas that is 23 inches by 33 inches.

The area of the canvas is the product of its length and width.

  A = LW

  A = (33 in)(23 in) = 759 in²

The rose covers 30% of that area, so an area of ...

  rose = 0.30 × 759 in² = 227.7 in²

The area of the canvas covered by the rose was 227.7 square inches.

The distance between the anchor points of the two guy wires holding radio antenna is 181 feet (to the nearest foot)

The problem will be solved using SOH CAH TOA

let the distance between the 150 ft long guy wire and the radio antenna be x

let the distance between the 180 ft long guy wire and the radio antenna be y

cos 65° = x / 150

x = cos 65° * 150

x = 63.39 ft

The height of the antenna

sin 65° = height of antenna / 150

height of antenna = sin 65 * 150

height of antenna = 135.95

using Pythagoras theorem

(length of guy wire)² = (height of the antenna)² + (anchor distance)²

(anchor distance)² = 180² - 135.95²

anchor distance = √(180² - 135.95²)

anchor distance = 117.97

The anchor points distance apart

= 63.39 + 117.97

= 181 (to the nearest foot)

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Answer: f = 12m

Step-by-step explanation:

Starting at mile 5 we notice it's 60. But now at mile 7, we notice its 84. This means that we increase by 12 for each mile. Ergo, the answer should be f = 12m.