Work out the values of a, b, c and d.
Justify each of your answers.
W
Z
33%
aº
16°
45°
d°
80°
22%
X
Y
Not drawn accurately

Answer:

convert 10 hours 30 minutes to hours= 10.5

683/10.5

=65.04km/h

Answer: 1/5

Step-by-step explanation:

Answer:

[tex]{ \sf{ \frac{1}{5} }} \\ [/tex]

Step-by-step explanation:

[tex]{ \sf{ \frac{2 \div 2}{10 \div 2} \equiv \frac{1}{5} }} \\ [/tex]

Based on the information given, the total number of Goals Scored in all 10 games combined is 11 goals.

It should be noted that in Mathematics, frequency simply has to do with the number of occurence that an event has based on the data or the information that's illustrated.

Based on the information given, it should be noted that the number of goals as well as the frequency are given. This will be illustrated we:

Total number of goals will be:

= (0 × 3) + (1 × 4) + (2 × 2) + (3 × 1)

= 0 + 4 + 4 + 3

= 11 goals

Therefore, 11 goals are scored.

Learn more about numbers on:

brainly.com/question/148825

#SPJ1

The vertex and the axis of symmetry are (-2, -6) and x = -2, respectively

The equation of the function is given as

f(x) = x^2 + 4x - 2

The above equation is a quadratic equation

Next, we plot the equation on a graph (see attachment)

The vertex of the graph is the minimum or the maximum of the graph

In this case, we have

Minimum= (-2, -6)

This means that

Vertex = (-2, -6)

The axis of symmetry is the x-coordinates of the vertex

So, we have

x = -2

Hence, the vertex is (-2, -6) and the axis of symmetry is x = -2

Read more about quadratic equation at

https://brainly.com/question/15709421

#SPJ1

The area of the triangle for the given parameter is 12.4 squared cm.

How to calculate the area of the triangle?

In mathematics, the area of the triangle is classified into three forms isosceles, scalene and equilateral. Depending upon the sides of the triangle, it is classified. That means, when the two sides are equal then the triangle is isosceles triangle.

According to the question, the given parameters for the calculation of the area of the triangle is as written below:

Side of the triangle(a) = 5.2 cm. Angle of a triangle(B) = 67°.

Using standard formula for the area of the triangle, we get:

Area of the triangle = (1/2)(5.2)(5.2)sin(67°) = 12.4384 = 12.4 squared cm.

Hence, the area of the triangle for the given parameter is 12.4 squared cm.

To learn more about the area of the triangle from the given link:

https://brainly.com/question/23945265

#SPJ9

Answer:

{-4, 0, 2, 5}

Step-by-step explanation:

The domain of a relation in a graph is a list of all the x values from the points plotted on it.

Therefore, we can take the coordinates of each point, and list all the x values. (You can't use the same number more than once)

Once you list all the x values, you put them in order from least to greatest, and then you're done! (make sure to use swirly brackets)

Good luck on your math journey! ^-^

Answer:

Step-by-step explanation:

1630089 is the answer

All the expressions like (a), (b) and (c) are true sentences in the form of inequality.

What is inequality expression?

The inequality expression in a sentence consist of two algebraic expression with the inequality symbols. And the solution of an inequality is a number which when substituted for the variable to makes the inequality as a true statement.

According to the question, the given inequality expressions in the form of the sentence is as follows:

(a) 2(3/4) > 2.68;

(b) 7.895 x 10² > 5.43 x 10³;

(c) √63 > 8.11;

(d) |-1.5| > |3.2|

In this, all the expressions like (a), (b) and (c) are true sentences in the form of inequality.

To learn more about the inequality expression in the form of the sentences from the given link:

https://brainly.com/question/24372553

#SPJ9

Answer:

Step-by-step explanation:

For this study, the mean of 16.7 minutes is an example of a (B) Statistic.

So, the appropriate choice is an option (B).

Therefore, for this study, the mean of 16.7 minutes is an example of a (B) Statistic.

Know more about Statistics here:

https://brainly.com/question/27061777

#SPJ9

The correct question is given below:
A researcher is interested in the travel time of Utrecht University students to college. A group of 50 students is interviewed. Their mean travel time in 16.7 minutes. For this study, the mean of 16.7 minutes is an example of a(n)

A. Parameter

B. Statistic

C. Population

D. Sample.

Answer:

1/16 squared meters

Step-by-step explanation:

The formula to find the area of a triangle is  [tex]\frac{Base * Height}{2}[/tex]

We can form an equation if we substitute the values (base and height).

[tex]\frac{1/2*1/4}{2}[/tex]

1/2 * 1/4 = 1/8

and [tex]\frac{1/8}{2}[/tex] = 1/16

Therefore, the area of a triangle with a vertical height of 1/2 m and a base of 1/4 m is 1/16 meters squared.

By using internal angles of the triangles and the definition of supplementary angles, the measure of the angle MNP is equal to 54°.

Herein we find a geometric system formed by two common semirrays with a common vertex at point N and a line segment MP such that triangle MPN is a right triangle. By Euclidean geometry we know that the sum of the measures in the internal angles equals 180°:

m ∠ NMP + m ∠ MNP + m ∠ MPN = 180°      (1)

And the two angles at point P are supplementary angles:

24 · x + m ∠ MPN = 180°      (2)

Then, by (1):

90° + 9 · x + m ∠ MPN = 180°

m ∠ MPN = 90° - 9 · x

By (1) in (2):

24 · x + 90° - 9 · x = 180°

15 · x = 90°

x = 6

Then, the measure of the angle MPN is equal to:

m ∠ MNP = 9 · x

m ∠ MNP = 9 · 6

m ∠ MNP = 54°

To learn on internal angles in triangles: https://brainly.com/question/19267367

#SPJ1

Answer: 8x-3

Step-by-step explanation

2x + 6 + 6x - 9

8x - 3

Answer:

8x - 3

Step-by-step explanation:

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

2x+6 + 6x-9

2x+6x + 6-9

= 8x - 3

Answer:

Step-by-step explanation:

The mathematical expression is as follows.

1) 4(v +3)

2) 15v -7

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x 2 2xy + c.

Given Data

Suppose the number is v

1) To obtain: four times the product of v and 3.

Accordingly, we must first add v and 3, and then multiply the result by 4.

The mathematical expression is as follows.

= 4(v+3)

2) Assume that v is the given integer.

What we're aiming for is: 7 less than 15 times v.

This calls for multiplying the v by 15 and then taking 7 out of the result.

The expression in algebra would be as follows:

= 15v - 7

To learn more about algebraic expression, visit:

https://brainly.com/question/8478278

#SPJ9

Answer:

1) 14/15

2)23/25

3) 1.33%

Step-by-step explanation:

Simply 24/8 to 3.

-12/x = 3
Since x is the number being divided, we take the divisor and divide it by the quotient.

x = -12/3 = -4.

Answer:

6x -- 1

Step-by-step explanation:

To Solve for g(f(x)), bear in mind

f(x) = 3x + 1

g(x) = 2x -- 3

g(f(x)) = 2x -- 3. (Calm down right?)

Let x = f(x).

if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)

g(f(x)) = 2(3x + 1) -- 3

g(f(x)) = 6x + 2 -- 3

g(f(x)) = 6x -- 1

#AllonGod

Answer:

Step-by-step explanation:

To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).  

1. First, identify the x in g(x) and replace it with the function of f(x)

g(x)=2x-3; so g(f(x))= 2(3x+1) -3

2. Simplify the equation by distributing the 2 and combining like terms.

2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with

g(f(x))=6x-1

Answer:

Step-by-step explanation:

20(kids per ride) x 52(number of rides) = 1040. 15(adults per ride) x 52(number of rides) = 780. 1040-780= 260 more kids than adults.

The unit price per ounce of the jar of jam is $0.50

From the question, the given parameters are

Volume = 5 oz

Cost of jam = $2.50

The unit rate of the jam is calculated as

Unit rate = Cost of jam/Volume

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 2.50/5

Evaluate the quotient

So, we have the following equation

Unit rate = 0.5

Hence, the unit price per ounce is $0.50

Read more about unit rates at

https://brainly.com/question/620388

#SPJ1

The length and width of the piece of​ metal are 28 and 18 inches respectively.

What is volume?

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

Dimension of the rectangle;

Width(w)

Length,L= 10 + w

volume of the box = length  * width * height

Dimension of the box;

length of box, (x + 10) - 4  = x + 6

width of box,(x - 4)

height of box =  2

The volume of the box is 672 in³;

⇒V=lwh

⇒V=2 (x -4)( x + 6)

⇒672 in³ = 2x² + 4x - 48

⇒2x² + 4x - 720 = 0

⇒x^2  + 2x - 360 = 0

⇒(x +20)(x - 18) = 0

⇒x = 18

⇒x=-20 (value of the dimension will not be negative.

The width of an original piece of metal is;

Width,w=18 inches

length,l= 28 inches

Hence. the length and width of the piece of​ metal are 28 and 18 inches respectively.

learn more about of volume here

https://brainly.com/question/2282652

#SPJ4

The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².

It should be noted that the area of a circle is given the formula:

Area of a circle = πr²

where π = 22/7

r = radius = 5 1/4

Therefore, the area will be:

Area = πr²

Area = 22/7 × (5 1/4)²

Area = 22/7 × 25 1/16

Area = 86.625 feet²

The area is 86.625 feet².

Learn more about area on:

brainly.com/question/25292087

#SPJ1

If a costumer decides to pay in cash then saved £3.6.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

A cash discount of 8% is allowed on an item which costs £45.

Now, The amount of Saved money calculated as;

Since, A cash discount of 8% is allowed on an item which costs £45.

Hence,

Saved money = 8% of £45

                      = 8 x 45 / 100

                      = 3.6

Thus, Saved money = 3.6

Therefore, If a costumer decides to pay in cash then saved £3.6.

Learn more about the percent visit:

https://brainly.com/question/24304697

#SPJ1

By dividing and multiplyinh the decimal by 10, we will see that:

-0.6 = -6/10

Here we have the following decimal: -0.6

And we want to write it as a fraction.

To do so, we just need to multiply it and divide it by 10 as many times as digits we have after the decimal point. In this case we have only one digit after the decimal point, so we multiply and divide by 10 only once.

-0.6 = -0.6*(10/10) = (-0.6*10)/10 = -6/10

That is the fraction form of the given decimal.

Learn more about fractions:

https://brainly.com/question/11562149

#SPJ1

The simplified expression of (2^3×2^4) is 2^7

The expression is given as

(2^3×2^4)

The base of the above expression are the same

i.e. Base = 2

This means that we can apply the law of indices

When the law of indices is applied, we have the following equation:

(2^3×2^4) = 2^(3 + 4)

Evaluate the sum in the above equation

So, we have

(2^3×2^4) = 2^7

Hence, the simplified expression of the expression given as (2^3×2^4) is 2^7

Read more about expressions at

brainly.com/question/4344214

#SPJ1

Answer:

x=16

Step-by-step explanation:

I apologize I have not done geo in a while so I am not sure what the theorem is, but there is a theorem that states that when a transversal intersects with two parallel lines, two angles that are facing the same direction are the same angle. (the two white angles that i have marked are equal)

next, two lines that intersect each other will have the same angle measurements on opposite sides (the green marked angles are equal)

so that means 3x - 8 = x + 24

and when you simplify that, you get 2x = 32 ---> x = 16

Answer: m = 5.5

Step-by-step explanation:

9680 / 1760 = m

m = 5.5