Find side x, giving your answer to 1 decimal place.
7 cm
81°
X
40°

The experimental probability is 5/14.

Since, 4 appeared five times over the total, The experimental probability is 5/14.

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Answer:

The club has 56 members

Step-by-step explanation:

We can set up a ratio problem to find the total number of kids in the club. There are two ways to do this, and I will show you both. The first way is to immediately set up a ratio between the number of boys and the number of total members in the club. Since the ratio of girls to boys is 6:2, the ratio of boys to members is 2:8 (add the number of girls and boys in the ratio to get the total number of people). Now, we can set up an equation, letting x equal the number of members total, and solve using cross multiplication:

[tex]\frac{2}{8}=\frac{14}{x}\\\\ 112=2x\\\\ x=56[/tex]

The other way to solve this problem would be to figure out the number of girls in the club if there are 14 boys and then add the two quantities together. If we let y be the number of girls in the club, we get the following solution:

[tex]\frac{6}{2}=\frac{y}{14}\\\\ 2y=84\\\\ y=42\\\\x+y=56[/tex]

Either way, we get that the total number of members is 56

Using proportions, the coordinates of point R are given as follows: R(1.2, 0.4).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Segments pr and pq are partitioned in the ratio 3:2, hence:

[tex]PR = \frac{3}{5}PQ[/tex]

[tex]R - P = \frac{3}{5}(Q - P)[/tex]

The points are:

For the x-coordinate, we have that:

[tex]R - P = \frac{3}{5}(Q - P)[/tex]

[tex]x - 6 = \frac{3}{5}(-2 - 6)[/tex]

x - 6 = -4.8

x = 1.2.

For the y-coordinate, we have that:

[tex]R - P = \frac{3}{5}(Q - P)[/tex]

[tex]y + 5 = \frac{3}{5}(4 + 5)[/tex]

y + 5 = 5.4.

y = 0.4.

The coordinates are: R(1.2, 0.4).

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Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

=

[tex] \frac{230m}{0.75m} \\ = 306 \frac{2}{3} paces[/tex]

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

Answer: DL, PS, SL

Step-by-step explanation:

All sides of a square are congruent.

Answer: the attachment i put with this file

Step-by-step explanation:

to graph this linear function, you can use the mantra "rise and run" to plot the points on the graph, and draw a line through the points.

Let's take these problems step-by-step:

To solve these problem, simply plug in the values in parentheses in front of f:

 [tex]f(a) = 6a - 8\\\\f(a+h) = 6(a+h)-8=6a + 6h - 8\\\\\frac{f(a+h)-f(a)}{h} =\frac{(6a+6h-8)-(6a-8)}{h} =\frac{6a+6h-8-6a+8}{h} =\frac{6h}{6}=h[/tex]

Hope that helps!

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Applying the knowledge of fractions, the bigger one is: one-sixth of 138.

Fractions can be defined as a part of a digit or number, and are not whole numbers. For example, a third is 1/3, one-sixth is 1/6, which are both fractions.

Therefore, let's evaluate each statement:

1/3 of 45 = 1/3 × 45 = 15

1/6 of 138 = 1/6 × 138 = 23

Therefore, the bigger of the two is: one-sixth of 138.

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Answer: 33 degrees

Step-by-step explanation:

Angles inscribed in the same arc are congruent, so

[tex]13+4x=-7+8x\\\\20+4x=8x\\\\20=4x\\\\x=5\\\\\implies m\angle CDE=-7+5(8)=33^{\circ}[/tex]

Answer:

Step-by-step explanation:

Hence, The value of x in the congruent triangles abc and dec is 1

the branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs.

The question implies that the triangles abc and dec are congruent triangles.

The congruent sides are,

ab = de

bc = ce = 4

ac = cd = 5

The congruent side ab = de implies that,

4x - 1 = x + 2

Collect like terms,

4x - x = 2 + 1

Evaluate the like terms,

3x = 3

Divide through by 3

x = 1

Hence, the value of x is 1

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Answer: H

Step-by-step explanation:

TY:XY: = 2:5, not 3:5.

Answer:

H H H H H H H

Step-by-step explanation:

TY:XY: =2:5, NOT 3:5.

Answer:

Fraction form: -3 4/7

Decimal form: -3.57142

Step-by-step explanation:

convert mixed number to improper fractions

apply the fraction rule a/b * c/d = a * c / b * d

Factor the number

cancel the common factor

multiply the numbers

Conver improper fraction to mixed numbers

To get your final answer:

= -3 4/7

Hope this helps! :)

Answer:

Option A

Step-by-step explanation:

Hello!

We can find the graph by finding the roots of the equation.

Since the equation is already in factored form, we can use the Zero Product Property to find the roots. The roots of an equation are the value(s) of x when y is 0 (x-axis).

The roots of the equation are 2 and 3. That means the graph intersects the x-axis at points 2 and 3. Looking at the graphs shown, the answer is Option A.

The standard form of the expression (6.8x10³)x(1.3x10⁻³) is 8.84 × 10⁰.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

Mathematical expression:

= (6.8x10³)x(1.3x10⁻³)

= 6.8x1.3

= 8.84

= 8.84 × 10⁰

Thus, the standard form of the expression (6.8x10³)x(1.3x10⁻³) is 8.84 × 10⁰.

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Answer:

20% of the garden is in chillies.

Step-by-step explanation:

[tex] \frac{4.5 \times 2}{9 \times 5} = \frac{9}{45} = \frac{1}{5} = 20\%[/tex]

The probability of pulling out a red marble 3 times in a row will be 1/64.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Marbles: You have a bag with 3 red marbles, 4 blue marbles, and 5 green marbles.

Then the probability of pulling out a red marble 3 times in a row will be

The total number of events will be

Total events = 3 + 4 + 5 = 12

The favorable event will be

Favorable event = 3

Then the probability will be

P = (3/12)(3/12)(3/12)

P = (1/4)(1/4)(1/4)

P = 1/64

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Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] which is essentially [tex]\frac{rise}{run}[/tex]. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: [tex]\frac{4- (-2)}{2- (-3)} = \frac{6}{5}[/tex] that's the rate of change

Answer:21

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

It is a polynomial with degree 2 ( as it has x^2 as its highest power)

The quadratic equation is y = 1/2x^2 - 3x + 4

A quadratic equation is represented as:

y = ax^2 +bx + c

Using the values on the table, we have:

a(0)^2 + b(0) + c = 4 ---- when x = 0

a(2)^2 + b(2) + c = 0 ---- when x = 2

a(4)^2 + b(4) + c = 0 ---- when x = 4

Evaluate these equations

c = 4

4a + 2b + c = 0

16a + 4b + c = 0

Substitute c = 4

4a + 2b + 4 = 0

16a + 4b + 4 = 0

Divide through by 2 and 4

2a + b + 2 = 0

4a + b + 1 = 0

Subtract both equations

2a -1 = 0

Solve for a

a= 1/2

Substitute a= 1/2 in 4a + b + 1 = 0

4 * 1/2 + b + 1 = 0

Evaluate

2 + b + 1 = 0

Solve for b

b = -3

So, we have:

y = ax^2 +bx + c

This gives

y = 1/2x^2 - 3x + 4

Hence, the quadratic equation is y = 1/2x^2 - 3x + 4

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360

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The formula is P = 2(l +w)

w = P/2 - l = 20/2 - 6 = 4m

Answer:

Step-by-step explanation:

Answer:

A = 18 units²

Step-by-step explanation:

MNOP is a parallelogram whose area ( A) is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 6 and h = 3 , then

A = 6 × 3 = 18 units²

Answer:

46 cm²

Step-by-step explanation:

Find the area of the rectangle and the triangle, then subtract. Take a look at the steps to know how.

The area of the rectangle:

10×7=70

Area of triangle:

1/2×6×8=24

Subtract the area of the triangle from the area of the rectangle.

70-24=46.

The area of the new shape is 46 cm².

It is cm² because it is a 2D object.

Hope this helps!

The dimensions are 16  ft by 32 ft

The quadratic equation is w^2-256=0

We have given that,

Todd and his brother Robert are going to use 512 square feet of their backyard for skateboard ramps. the shape of the backyard is rectangular, with the length twice as long as the width.

The area of a rectangle is equal to

A=WL

Where L is the long side of the rectangle

W is the width side of the rectangle

in this problem we have

A=512ft^2

S0,512=LW -----> equation A

L=2W ------> equation B

substitute equation B in equation A

512=2W(W)

512=2w^2

2w^2-512=0

W^2=512/2

W=\sqrt(256)

W=16

Find the value of L

L=2W

L=2(16)

L=32ft

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Answer:

C)512 = 2w2

Step-by-step explanation:

trust

Answer: fx=−14

Step-by-step explanation: