8. The dimensions of a lawn shaped like a trapezoid are given in meters.

18 m

4 m

5 m

12 m

The dimensions of a lawn shaped like a trapezoid are given in meters. What is the

area of the lawn?

108 m2

60 m2

72 m2

120 m2

Answer:

Step-by-step explanation:

We have

Find the  measure of angle x:

Bearing of the flight from Elgin to Canton is:

Answer:

235°

Step-by-step explanation:

Bearing: The angle (in degrees) measured clockwise from north.

The given scenario can be modeled as a triangle.

Given sides of the triangle:

As due north is at a right angle to due west, the angle in the right corner of the triangle is:

⇒ 90° - 44° = 46°

Use the Sine Rule to find angle y marked on the attached diagram (the angle opposite side b).

Sine Rule

[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

[tex]\implies \sf \dfrac{\sin 46^{\circ}}{680}=\dfrac{\sin y}{545}[/tex]

[tex]\implies \sf \sin y= \dfrac{545\sin 46^{\circ}}{680}[/tex]

[tex]\implies \sf y= \sin^{-1} \left(\dfrac{545\sin 46^{\circ}}{680}\right)[/tex]

[tex]\implies \sf y=35.20682806...^{\circ}[/tex]

Interior angles of a triangle sum to 180°

⇒ x° + y° + 46° = 180°

⇒ x° + 35.2068...° + 46° = 180°

⇒ x° = 98.79317194...°

Consecutive Interior Angles Theorem

When a straight line intersects two parallel straight lines, the consecutive interior angles formed sum to 180°.  Therefore the angle between due north and side a of the triangle is:

⇒ 180° - 44° = 136°

To find the bearing of the flight from Elgin to Canton, find the angle labelled green on the attached diagram:

[tex]\implies \sf Bearing =136^{\circ}+ 98.79317194...^{\circ}[/tex]

[tex]\implies \sf Bearing = 234.7931719...^{\circ}[/tex]

[tex]\implies \sf Bearing = 235^{\circ}[/tex]

As bearings are usually given as a three-figure bearings, the bearing of the flight from Elgin to Canton is 235°.

Learn more about bearings here:

https://brainly.com/question/27928951

Answer:

25 meters

Step-by-step explanation:

500/20 =  25

25 meters

Hope that helps!

Answer:

10,000 meters

Step-by-step explanation:

20*500=10,000

Answer:

46/6 is approximately 7.667.

To change it to a multiplication problem, I can do 46 = 6*7.667. The answer is not exact, just an estimated approximation.

You can also try to divide yourself.

Answer:

Step-by-step explanation:

the quadratic equation standard form is

therefore we get

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

since we got D>0

therefore

the quadratic equation has 2 real solutions

Answer:

∠2 = 150°, it is a supplementary angle to 30°

∠3 = 30°, it is an alternate angle to 30°

∠4 = 150°, it is a supplementary angle to 30°

∠5 = 30°, it is an alternate angle to 30°

∠6 = 150°, it is a supplementary angle to 30°

∠7 = 30°, it is an alternate angle to 30°

∠8 = 150°, it is a supplementary angle to 30°

Answer:I think that it would be either b or c

Step-by-step explanation:

Answer:

it's F.

Step-by-step explanation:

i used my calculator. just trust me

Answer:

11.78

Step-by-step explanation:

Step-by-step explanation:

We start by stating the null hypothesis

H0: p1 = p2

No difference is existent

H1: p2 not equal to p2

There is a difference

We find the z statistic using microsoft excel or using the formula in the attachment

= -1.68

From the normal table, p value = 0.099

The p value is greater than 0.05 so we fail to reject the null hypothesis and conclude there is no difference

B. If answer in part a is incorrect then we have made a type ii error. A type 2 error occurs when we accept a false null hypothesis.

17.5 mark brainlist plssssssssssssss

Answer: A

Step-by-step explanation:

Answer:

yeah is A

Step-by-step explanation:

Answer:

227.08in^2

You want to find the surface area for this problem. SA=2lw+2lh+2hw

Step-by-step explanation:

L=2.5

W=7.4

H=9.6

SA=2lw+2lh+2hw

SA=2(2.5x7.4)+2(2.5x9.6)+2(9.6x7.4)

SA=37+142.08+48

SA=227.08in^2

Answer:

THE ANSWER IS B BECAUSE I AM  BIG BRAIN

Step-by-step explanation:

Answer:

C No, since the P-value is greater than 0.01

Step-by-step explanation:

Since in the given situation we assume that all the conditions are ,met

And, at the a = 0.01 significance level we that that the proportion of the cancelled rides between the two cities would not sufficient as the P value is more than 0.001

Therefore the correct option is c.

Answer:

60.2 grams is remaining after 7 minutes.

Step-by-step explanation:

Exponential equation for amount of substance:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal, and t is the time measure.

An element with mass 510 grams decays by 26.3% per minute.

This means that [tex]A(0) = 510, r = 0.263[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 510(1-0.263)^t[/tex]

[tex]A(t) = 510(0.737)^t[/tex]

How much of the element is remaining after 7 minutes?

This is A(7). So

[tex]A(7) = 510(0.737)^7 = 60.2[/tex]

60.2 grams is remaining after 7 minutes.

Answer: it should be 22 1/2 :)

Answer:

y = x - 8

Step-by-step explanation:

y = mx + b

M is your slope, 1. 1x can be rewritten as x.

Your Y intercept is B, therefore -8.

y = x - 8. When you plug in the numbers.

3 + 2 + 1 = 6

270 ÷ 6 = 45

45 × 3 = 135

45 × 2 = 90

45 × 1 = 45

3 : 2 : 1

135 : 90 : 45

Answer:

The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]

Step-by-step explanation:

We use these following logarithm properties to solve this question:

[tex]a\log{x} = \log{x^a}[/tex]

[tex]\log{a} + \log{b} = \log{ab}[/tex]

[tex]\log{a} - \log{b} = \log{\frac{a}{b}}[/tex]

In this question:

[tex]4\log{x} = \log{x^4}[/tex]

[tex]5\log{5} = \log{z^5}[/tex]

So

[tex]4\log{x} + \log{y} - 5\log{z}[/tex]

Becomes:

[tex]\log{x^4} + \log{y} - \log{z^5}[/tex]

Now applying the addition and subtraction properties, we have:

[tex]\log{\frac{x^4y}{z^5}}[/tex]

The condensed log equation is: [tex]\log{\frac{x^4y}{z^5}}[/tex]

Answer:

A.

Step-by-step explanation:

x^2 + 6x + 10  cannot be  factored

x^2 + 3x -4 = (x-1)(x+4)

x^2 - 3x -4 = (x+1)(x-4)

x^2 + 6x +5 = (x+1)(x+5)

Answer:   x² + 6x + 10

Step-by-step explanation:

The four can be factored by the set of real numbers, except the first one.

- x² + 3x - 4 can be factor as (x + 4)(x - 1)

- x² - 3x - 4 can be factor as (x - 4)(x + 1)

- x² + 3x - 4 can be factor as (x + 4)(x - 1)

And the first one, the number is 10, the factos of 10 is 1,2,5,10, none of the factors would apply the situation 6x.

Answer:

1g:6g-15

Step-by-step explanation:

Answer:

100 - 20 = 80 Length Of the Garden

Step-by-step explanation:

So You Can do 20 Ft Minus 100 Because 100 is the Total so Heres a Graph To Show You

Total= 100 Ft

Width= 20

Length=?

Total - Width = Length

100 - 20 = 80 Length Of the Garden

The value of x in the equation, (3x + 30), is 10.

Answer:

225 square feet

Step-by-step explanation:

If one side = 15 ft, and it's a square, you do 15 x 15 = 225 square feet

Hope that helps!

Answer:

20 visits.

Step-by-step explanation:

Fitness Universe has a 1 time payment of $50, and each visit will cost $5.50

Non-members pay $8 per visit. Let each visit be signified by the variable, v. Set the equation:

5.50v + 50 = 8v

Isolate the variable, v. Note the equal sign, what you do to one side, you do to the other. Subtract 5.50v from both sides:

5.50v (-5.50v) + 50 = 8v (-5.50v)

50 = 8v - 5.50v

50 = 2.50v

Isolate the variable, v. Divide 2.50 from both sides:

(50)/2.50 = (2.50v)/2.50

v = 50/2.50

v = 20

Stuart must visit 20 times to break even, in which it will become cheaper after the 20th visit.

Answer:

4w+6h-h

4w+5h

7y+4y

11y

6x+3y+5x

11x+3y

5x+12d-2x+4d

3x+16d

3x^2+6y+5x^2+2x

8x^2+6y+2x

Let me know if this helps!

Answer:

A, D,and E

Step-by-step explanation:

Answer:6722.8(sorry if i'm wrong)

Step-by-step explanation: