an expression is given. -2y+3/2x+7/4 which are equivalent to the given expression select each answer

1) There is a right angle triangle

2) 22822 miles

3)  45297 miles

A right triangle (also known as a right-angled triangle) is a triangle in which one of the angles is a right angle, that is, an angle of 90 degrees. The side opposite the right angle is the longest side of the triangle and is called the hypotenuse. The other two sides, adjacent to the right angle, are called legs.

The distance between Station 1 to the satellite;

Sin 10 = 3,963 /x

x = 3,963 /sin 10

x = 22822 miles

Distance between satellite  and station 2;

Tan 10 = 3963/x

x = 3,963 /Tan10

x = 22475 miles

Total distance = 22822 miles + 22475 miles

= 45297 miles

Learn more about triangle:https://brainly.com/question/2773823

#SPJ1

Given the joint variation and the constant of variation, the value of z when w = 11 and x = 7 is -22

z =( k × w) / x

where,

-42 = (k × 12) / 4

cross product

4 × -42 = 12k

-168 = 12k

k = -168 /12

k = -14

z =( k × w) / x

z = (-14 × 11) / 7

= -154 / 7

z = -22

Therefore, the value of z when w = 11 and x = 7 is -22

Learn more about variation:

https://brainly.com/question/6499629

Step-by-step explanation:

Answer:

x = 9/5 y - 4/5

Step-by-step explanation:

Make x the subject:

9y - 5x =4

Subtract 9y from each side

9y-9y - 5x =-9y+4

-5x = -9y +4

Divide each side by -5

-5x/-5 = -9y/-5 + 4/-5

x = 9/5 y - 4/5

Answer:

x = (9/5)y - (4/5)

Step-by-step explanation:

Given equation,

→ 9y - 5x = 4

Solving for the required value of x,

→ 9y - 5x = 4

→ -5x = -9y + 4

→ x = (-9y + 4)/-5

→ [ x = (9/5)y - (4/5) ]

Hence, value of x = (9/5)y - (4/5).

Answer: 6.9

Step-by-step explanation:

Solve for the hypotenuse in the smaller triangle 5.83

Solve for x²= 9² - 5.83² = 81 - 33.99

X² = 47.01

Step-by-step explanation:

The dimensions are given in the attached picture.

Find the slant height L first:

Total surface area of the frustum:

Find the height H of the pyramid using similar triangles.

The big triangle (sides H and 5) is similar to smaller one (sides 2 and 4.8) per AA similarity.

The ratio of corresponding sides:

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

Based on the average total cost to the monopolistically competitive firm and the revenue, the loss they are expecting is -$400

The losses that the monopolistically competitive firm would be the difference between their revenue from the 20 units and their average total cost.

Solving for the loss to the monopolistically competitive firm gives:

= (Average total cost - Price) x number of units

= (70 - 50) x 20

= -$400

Find out more on monopolistically competitive firms at https://brainly.com/question/25717627

#SPJ4

Answer: -31

Step-by-step explanation:

-12+(-21)   is equal to -12-21 which is -31

The correct answer is:

Work and explanation:

Remember the integer rule:

\(\sf{a+(-b)=a-b}\)

Similarly

\(\sf{-12+(-20)=-12-20}\)

Simplify

\(\sf{-32}\)

\(\frac{8}{10}\) → \(\frac{4}{5}\)

8 and 10 can both be divided by 2. So, 8 ÷ 2 is 4 and 10 ÷ 2 is 5.

Hope this helps :)

Answer:

4/5

Step-by-step explanation:

okay so to simplify, we first need to find the GCF of 8 and 10. The GCF of 8 and 10 would be 2. We now divide both 8 and 10 by 2. That will give us 4/5.

\(\frac{8}{10}\)÷\(\frac{2}{2}\)=\(\frac{4}{5}\)

(a) A function that models the population after t hours is :

f(t)=  1000 e^ ( 2.0794 t).

(b) the population after 1.5 hours is  22623.7

(c) After 1.30 hours the number of bacteria reach 15,000?

since the intial size of the given cukture of bacteria is1000, since the given equation is : n(t) = n0ert , substuiting the value of  n0 we get

n = 1000 e^(rt) ,for t=0, e^rt= e^0 = 1, so for t =0, the   n(0) = 1000*1 =1000

so 8000/1000= 8 =e^(r*1)

=>e^r = 4

=>k = ln 8 = 2.0794

n = 1000 e^ ( 2.0794 t), is the function needed , now for t = 1.5

=>n = 1000 e^(3.119)

n =  22623.7

now for 15000, the equation will be :

=>  1000 e^ ( 2.0794 t) = 15000

=> e^ ( 2.0794 t)= 15000/1000

=>  e^ ( 2.0794 t)= 15

=>ln  e^ ( 2.0794 t)= ln 15

=>  2.0794 t= ln 15

=> t= ln 15/2.0794 = 2.7080/2.0794 = 1.30 hours  

To know more about function refer to the link brainly.com/question/14355665

#SPJ4

Answer:

The answer is C. 6ft 2

Step-by-step explanation:

The area of the rectangle having the dimension 3 feet by 2 feet is 6 square feet. Then the correct option is C.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle is 3 feet wide and 2 feet high.

Then the area of the rectangle will be

Area = Length × Width

Area = 3 × 2

Area = 6 ft²

The area of the rectangle is 6 square feet.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

Undefined because the x values are the same

Step-by-step explanation:

Slope: y2 - y1 / x2 - x1

Slope: 7 - 10 / -3 - - 3

Slope: -3 / -3 + 3

Slope: -3 / 0

Slope: undefined

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

learn more on angles here: https://brainly.com/question/17043791

#SPJ1

Answer:

never

Step-by-step explanation:

Any triangle can never be a parallelogram because it only has three sides.

quadrilateral with parallel sides is a parallelogram.

Answer:

cost of pizza I 5 and using proper cleaning

tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).

Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.

The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).

Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).

Learn more about trigonometric identities here:

https://brainly.com/question/24377281

#SPJ11

Length of the rectangle is 41m, width of the rectangle is 41m and maximum area of the rectangle is 1681 \(m^{2}\).

Let l and w denote the length and width of the rectangle.

Its perimeter is 2(l + w) which is given 164.

∴ l + w = \(\frac{164}{2}\) = 82 ----------------  (1)

Now area A of the rectangle is given by

A = lw.

from equation (1),

A = l(82 - l)

A = 82l - \(l^{2}\)

⇒ A(l) = 82l - \(l^{2}\)--------------------- (2)

We are required to maximize A.

We know that, for Amax,

A'(l) = 0 and A''(l) < 0

equation (2)⇒

A'(l) = 0

82 - 2l = 0

         l = \(\frac{82}{2}\)

         l = 41.

Further, A''(l) = -2 < 0 ∀ l

Thus l = 41 gives Amax.

Hence the required dimension of the rectangle for maximum area are

l = 41 m

and w = 82 - l

          = 82 - 41

      w = 41 m

Therefore

A = lw = (41)(41)

A = 1681 \(m^{2}\)

Therefore the maximum area of rectangle is 1681 \(m^{2}\).

Given question is incomplete. Here I consider perimeter = 164m.

To know more about area here

https://brainly.com/question/4385388

#SPJ4

Answer:

Maa = 80.0 N-m → Maa = 80.0 N-m * (cos 45°) → Maa = 56.6 N-m → Maa = 56.6 N-m * (cos 45°) → Maa = 28.3 N-mCopyRedo

The magnitude of the projection of the moment caused by the force about the aa axis is Maa = 80.0 N-m.

The moment about an axis is the product of the force and the perpendicular distance from the axis to the line of action of the force. The projection of the moment refers to the component of the moment along a specific axis.

In this case, the moment Maa represents the projection of the moment about the aa axis. It indicates the magnitude of the moment when measured along the aa axis.

Since the given value is Maa = 80.0 N-m, we can conclude that the magnitude of the projection of the moment caused by the force about the aa axis is 80.0 N-m. This means that the component of the moment along the aa axis is 80.0 N-m.

Learn more about magnitude here:

https://brainly.com/question/14452091

#SPJ11

Answer:

x = 20

Step-by-step explanation:

The diagonals of a kite are perpendicular to each other, so the 4 angles at the  intersection are right.

The sum of the 3 angles in a triangle sum to 180° , then

2x + 2x + 10 + 90 = 180

4x + 100 = 180 ( subtract 100 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

20 is the answer

Step-by-step explanation:

Correct for Acellus!

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

In order to prove the statement (A ∩ B) ⊆ A, we need to show that every element in the intersection of A and B is also an element of A. Let's go through the steps:

a. If x is in (A ∩ B), x is in A and x is in B by the definition of intersection. The intersection of two sets A and B consists of elements that are present in both sets.
b. Since x is in A and x is in B, we can conclude that x is indeed in A. This step demonstrates that the element x, which is part of the intersection (A ∩ B), belongs to the set A.
c. As x is in A, it satisfies the condition for being part of the intersection (A ∩ B), i.e., x is in A and x is in B by the definition of intersection.
Based on these steps, we can conclude that for any element x in the intersection (A ∩ B), x must also be in set A. This means (A ∩ B) ⊆ A, proving the given statement.

To know more about Sets Intersection visit:
https://brainly.com/question/31384647
#SPJ11

The conclusion is that since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.

A null hypothesis is a hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling error.

Here, the effect of a one-day SAT prep class at a 5% level of significance was assessed.  Since the value of 0.028 is less than 0.05 so we reject the null hypothesis at 5% level of significance and conclude that the mean of the difference in SAT writing scores for all students who take SAT prep class is equal to 0.

Learn more about hypothesis on:

https://brainly.com/question/11555274

#SPJ1

Looking at the function f(x), it is in the factored form, so we can easily find the zeros of the function (that is, the x-intercepts) by equating each factor to zero:

The x-coordinate of the vertex is given by the average value of the zeros:

And the y-intercept can be found by using x = 0:

So the graph of this quadratic equation is given by:

Answer:

Step-by-step explanation:

Answer:

/12 = 24: d = 288 songs downloaded.

Hope this helps. :)

The equation that represents the given situation is x/12 = 24 and the number of songs downloaded by Oliver is 288.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the instructions given in the question,

Assume that the number of songs downloaded by Oliver in a year is x.

Then, it is divided by 12 and equal to 24.

So, the equation will be,

x/12 = 24

And, the number of songs downloaded by him will be,

x = 24 × 12

x = 288 songs.

To know more about equation:

https://brainly.com/question/29657983

#SPJ2

The name of the relationship between ∠1 and ∠4 is alternate interior angles.

In a right triangle with both legs having length 1, the length of the hypotenuse is √2, and when a line of length 1 is drawn perpendicular to the hypotenuse, the length of the new hypotenuse remains √2.

In a right triangle with both legs having a length of 1, we can use the Pythagorean theorem to find the length of the hypotenuse.

By applying the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have:

h² = 1² + 1²

h² = 1 + 1

h² = 2

Taking the square root of both sides, we find:

h = √2

So, the length of the hypotenuse in the original right triangle with both legs having a length of 1 is √2.

Now, if we draw a line of length 1 perpendicular to the hypotenuse and create a new triangle, we form two smaller right triangles. In this case, each of the smaller right triangles is a 45-45-90 triangle.

In a 45-45-90 triangle, the length of the hypotenuse is equal to √2 times the length of either leg. Therefore, the length of the new hypotenuse in the smaller triangle is:

√2 × 1 = √2

So, the length of the new hypotenuse is also √2.

To know more about hypotenuse,

https://brainly.com/question/17146222

#SPJ11

The 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

To construct a 95% confidence interval for the mean weight of the bags of that specific brand of candies, we can use the following formula:

Confidence Interval = Sample Mean ± (Critical Value)× (Standard Deviation / √Sample Size)

First, let's calculate the critical value. Since the population distribution is assumed to be normal and the sample size is small (n = 16), we can use a t-distribution instead of a z-distribution.

The critical value can be obtained from the t-distribution table or using statistical software. For a 95% confidence level with 15 degrees of freedom (n - 1 = 16 - 1 = 15), the critical value is approximately 2.131.

Now, we can plug in the given values into the formula:

Sample Mean = 2.5 ounces (given)

Standard Deviation = 0.1 ounces (known)

Sample Size (n) = 16 (given)

Critical Value = 2.131 (from t-distribution)

Confidence Interval = 2.5 ± (2.131)× (0.1 / √16)

Calculating the standard error (Standard Deviation / √Sample Size):

Standard Error = 0.1 / √16 = 0.1 / 4 = 0.025

Confidence Interval = 2.5 ± (2.131) × (0.025)

Calculating the bounds of the confidence interval:

Lower Bound = 2.5 - (2.131) ×(0.025)

Upper Bound = 2.5 + (2.131)×(0.025)

Lower Bound ≈ 2.5 - 0.0539 ≈ 2.4461 ounces

Upper Bound ≈ 2.5 + 0.0539 ≈ 2.5539 ounces

Therefore, the 95% confidence interval for the mean weight of bags of that specific brand of candies is approximately 2.4461 ounces to 2.5539 ounces.

Learn more about standard error here:

https://brainly.com/question/14524236

#SPJ11