If sin A = 3/4, then the value of tan A

Answer:

breathe in

Step-by-step explanation:

The current mean age of first marriage is greater than 23.3 years.

To test these hypotheses, we would need to collect current data on the age at first marriage and perform a statistical test to determine whether there is significant evidence to reject the null hypothesis in favor of the alternative hypothesis.

To investigate whether the mean age of first marriage has increased during the past 40 years, we can set up the following hypotheses:
Null hypothesis (H0):

The mean age of first marriage has not increased during the past 40 years.

In other words, the current mean age of first marriage is still 23.3 years.
H0: μ = 23.3
Alternative hypothesis (H1): The mean age of first marriage has increased during the past 40 years.

In other words, the current mean age of first marriage is greater than 23.3 years.
H1: μ > 23.3

For similar question on hypotheses.

https://brainly.com/question/11555274

#SPJ11

Answer:

36, 72, 108, 144

Step-by-step explanation:

Answer and Step-by-step explanation: the doc is below for how i did the problem

Answer: x = 10

Step-by-step explanation:

     To solve, we will isolate the variable x.

Given:

     2x + 7 = 5x - 23

Add 23 to both sides of the equation:

     2x + 30 = 5x

Subtract 2x from both sides of the equation:

     30 = 3x

Divide both sides of the equation by 3:

     10 = x

Reflexive property:

     x = 10

Answer:

Step-by-step explanation:

Representing a situation as an algebraic equation using variables can be used to solve complex problems

The correct option as option for the depth of the gutter that will allow a cross-sectional area of 54 square inches as option d.

d. y ≈ 2.4 in. and y ≈ 11.1 in.

The reason the selected option is correct is as follows:

The given parameters of the rain gutter are;

The width of the aluminum sheets from which the rain gutter is made = 27 inches

The angle to which the edges are turned up to form right angles = Right angles (90 degrees)

Required:

To determine the depth of the gutter allowing a cross-sectional area of 54 square inches

Method:

Form an equation that describe the area of the gutter, taking note that the gutter does not have a cover (top) and therefore only three sides are required

Solution:

Let y represent the length of the sides (depth) of the rain gutter, and let x represent the width, we have;

2·y + x = 27...(1) (The total with of the gutter; 2 sides and a base)

The cross sectional area of the gutter, A = y × x...(2)

Where;

y = The depth of the gutter

x = The width of the gutter

From equation (1), we have;

x = 27 - 2·y

Therefore, in equation (2), we have;

A = y × (27 - 2·y)

The desired cross-sectional area, A = 54 in.²

∴ A = 54 = y × (27 - 2·y) = 27·y - 2·y²

Which gives;

2·y² - 27·y + 54 = 0

From which we get;

\(y = \dfrac{27 \pm \sqrt{(-27)^2 - 4 \times 2 \times 54} }{2 \times 2} = \dfrac{27 \pm 3\times \sqrt{33} }{4}\)

Therefore;

y ≈ 2.4 and/or y ≈ 11.1

Which gives the depth of the gutter that will allow a cross-sectional area of 54 square inches as y ≈ 2.4 in. and y ≈ 11.1 in.

Learn more about algebraic equations here:

https://brainly.com/question/21464859

https://brainly.com/question/19864285

https://brainly.com/question/23206107

The number of each type of ad that the department can run each month are:

TV Ads = 32

Radio Ads = 12

News Ads =  20

x = number of tv ads

y = number of radio ads

z = number of news ads

Two formulas are indicated.

x + y + z = 64

1000x + 200y + 600z = 46400

they want as many tv ads as radio and news ads combined.

equation for that is x = y + z

since x = y + z, replace x with y + z in both equations to get;

y + z + y + z = 64

1000 * (y + z) + 200 * y + 600 * z = 46400

combine like terms and simplify to get:

2y + 2z = 64

1000y + 1000z + 200y + 600z = 46400

combine like terms again to get:

2y + 2z = 64

1200y + 1600z = 46400

Solving simultaneously gives:

y = 12

z = 20

Thus:

x = 12 + 20

x = 32

Read more about Simultaneous equations at: https://brainly.com/question/148035

#SPJ1

Answer:

¼

Step-by-step explanation:

The slope of the line which is positive, will be the same as the slope any of the given line that has a positive slope also.

Thus, how do we know which line we should we calculate the slope for? The line that shows a positive slope would be the line we are to calculate the slope.

The blue line shows a positive slope. We know this because positive slope usually slants up as from our left to our right.

The red line has a negative slope. It slants down from left to right.

Next, find the slope of the blue line using the coordinates of any two points on the line. Let's use the following points, (0, 2) and (4, 3)

\( slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{4 - 0} \)

\( slope(m) = \frac{1}{4} \)

The slope of the line that is parallel to the blue line is ¼.

Answer:

y = x + 6

Step-by-step explanation:

The manager can find the volume of the container using the formula lwh. The employee correctly determines that the container can be filled with 3 layers of 21. He can find the volume of the container by multiplying the number of bento boxes that fill the container by the volume of one bento box. The volume found by using the formula is equal to the volume of the total number​of bento boxes in the container.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = LWH

Where:

Part a.

Therefore, the manager can use the following formula;

Volume of container = LWH

Volume of container = 7/2 × 3/2 × 3/2

Volume of container = 63/8 cm³.

Part b.

For the number of bento boxes that can fill the container, we have:

Number of bento boxes = Volume of container/Volume of bento boxes

Number of bento boxes = 63/8/(1/2)³

Number of bento boxes = 63/8/1/8

Number of bento boxes = 63/8 × 8

Number of bento boxes = 63 bento boxes = 3 layers × 21.

Part d.

Volume of container = Volume of bento boxes

63/8 cm³ = 63 × 1/8 cm³

63/8 cm³ = 63/8 cm³ (equal).

Read more on volume of prism here: brainly.com/question/21012007

#SPJ1

Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.

Substitute the given value into the function and evaluate.

Answer:

33.

Step-by-step explanation:

f(x) = -x³ + x² + x.

f(-3) = -(-3)³ + (-3)² + (-3)

= -(-27) + (9) - 3

= 27 + 9 - 3

= 36 - 3

= 33.

Hope this helps!

Answer:  

552 students are going to the picnic

Answer:

Step 1

-3x -12-5x-15 is the correct expression.

Yes; the triangles are congruent by SAS.

What is triangle ?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.

AC and BD bisects one another

AE = CE --- Side

and

BE = DE --- Side

When both lines bisect one another, they form a pair of vertical angles  and

When we apply the theorem of vertical angles to this, we have that:

∠AEB = ∠CED   --- Angle

At this point, we have established:

Two sides of ABE and CDE are congruent and One angle in each of ABE and CDE are also congruent

Hence, the triangles are congruent by SAS.

To learn more about triangle from the given link  

https://brainly.com/question/20436923

#SPJ1

Step-by-step explanation:

12800000

or 567777000

$27500000

The calculated area of the composite figure is 85 cm².

From the question, we have the following parameters that can be used in our computation:

The composite figure (see attachment)

Where, we have

Rectangle:

Area = length × width.

Therefore, the area of the rectangle is 10 cm × 6 cm = 60 cm².

Triangle:

Area = (1/2) × base × height.

Therefore, the area of the triangle is (1/2) × 5 cm × 10 cm = 25 cm².

To find the total area of the composite figure, we add the areas of the rectangle and the triangle:

Total Area = Area of Rectangle + Area of Triangle

= 60 cm² + 25 cm²

= 85 cm².

Therefore, the area of the composite figure is 85 cm².

Learn more about area at

brainly.com/question/25292087

#SPJ1

Answer:

6.3 to 1 DP............

Answer:6.3

Step-by-step explanation: bc the second number after the decimal point is an 8 which is highet han 5 so we roung up thats how its 6.3

Answer:

Make x the same in both so

12x+ 4y=72

12x+6y=30

Now the 12x cancel eachother out so

Difference between 6y and 4y is 2y

Difference between 30 and 72 is -42

2y must equal -42

Y = -21

Substitute -21 into the equation

X = 13

Mark brainliest pls

The total amount that Mrs. Chauke paid for buying airtime using her bank's services sum up to R2.20. This question is about Analyzing Bank Statements.

Notice that on the 23rd of March and the 24th of March. On both occasions, she was charged R1.10 each.

Hence, to get the total amount she paid as charges for buying airtime, we say:

1.10 + 1.10  = R2.20

See the link below for more about Analyzing Bank Statements:

https://brainly.com/question/24401217

The length of the hypotenuse of the sail is 18.30 feet long.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c²

Given that the sail for his sailboat is a 45-45-90 Right Triangle. 15. The base of the sail is 10.5 ft. long.

a² + b² = c²

Therefore,

15² + 10.5² = c²

c² = 15² + 10.5²

c² = 225 + 110.25

c² = 335.25

c = 18.30

Thus, the hypotenuse is 18.30 feet long.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

Answer:

D)The space heater, because it has the greater unit rate for electricity cost.

Step-by-step explanation:

I DID IT AND GOT IT RIGHT!

Answer:

B. Yes, Every 3 days, sales increase by $1000

Step-by-step explanation:

A proportional relationship exists because the line cuts across the point of origin, (0, 0).

Constant rate of change is that there is an equal sales increase of $1,000 on every 3 days. Thus, on day 3, sales was $1,000. On day 6, sales was $2,000.

This shows proportional increase of $1,000 of sales, every 3 days.

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

For more such questions on rectangle, click on:

https://brainly.com/question/2607596

#SPJ8

The slope-point form is y + 1 = (1/4) (x +2)

The function notation for the point-slope form is f(x) = -1 + (1/4) (x +2)

From the graph, we get two points (x₁, y₁) = (-2, -1) and (x₂, y₂) = (2,0)

Slope, m = \(\frac{y_2-y_1}{x_2-x_1}\)

               = \(\frac{0 --1}{2--2}\)

               = 1/4

The slope-point form of a line is (y-y₁) = m(x-x₁), where (x, y) is the general point on the line, (x₁, y₁) is a given point on the line and m, the slope of the line.

So here the slope-point form of the line is,

(y- -1) = 1/4(x- -2)

⇒ y + 1 = (1/4) (x +2)

For the function notation, we put y = f(x) simply and write it as,

f(x) = -1 + (1/4) (x +2)

Learn more about slope-point form of a line at https://brainly.com/question/6497976

#SPJ9

the first one is c

the second is B

Step-by-step explanation:

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

the answer for the question is 1.5

To solve this problem one must be aware of the concepts of standard deviation and variance of raw data.

There is a direct formulae to calculate the variance of the data,

Variance = \(σ^{2} =\frac{Sigma(xi-m)^{2}}{n}\)

Now here we need to verify ∑x and ∑\(x^{2}\).

∑x = 21+19+15+32+27

     = 114

and ∑\(x^{2}\) = \(21^{2} +19^{2} +15^{2} +32^{2} +27^{2}\)

             = 441+361+225+1024+729

             = 2780

So, the given relation is true.

Now the variance of the given data by putting the values in the formulae is  equal to 45.2.

And Standard deviation=\(\sqrt{Variance}\)

                                     = \(\sqrt{45.2}\)

                                      = 6.72

And for population α²=36.16 and deviation=6.01.

To learn more about the deviation and variance visit the link:

https://brainly.com/question/16555520

#SPJ9