a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%​

Answer:

(1, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 7

y = x + 8

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

x = 1

y = 9

Step-by-step explanation:

y = 2x + 7 --------------------(I)

y = x + 8 ----------------------(II)

Substitute y = 2x + 7 in equation (I)

    2x + 7 = x + 8           {Subtract 'x' from both sides}

2x + 7 - x = 8                 {Combine like terms}

      x + 7 = 8                  {Subtract 7 from both sides}

           x  = 8 -7

x = 1

Substitute x = 1 in equation (I)

y = 2*1 + 7

 = 2 + 7

y = 9

Answer:

22 cubic inches

Step-by-step explanation:

V = 1/3 * Area of Base * height

Area of Base is given as 11 inches

height is given as 6 inches

V = 1/3 * 11 * 6

V = 66/3

V = 22

Answer.

A.22

Step-by-step explanation:

Answer: 1/66

Step-by-step explanation:

Answer:

c.

$23,271

Step-by-step explanation:

i took the same test on edg

The worth of the car will be $23,271 in the nearest dollar.

A recession is defined as a severe fall in economic activity that lasts more than a few episodes of time and is reflected in real GDP, income, employment, economic growth.

So if an economy is in a  recession and vehicle prices drop by eight percent.

Then, we have:

= $25,295 × 8%

[tex]\mathbf{= 25295 \times \dfrac{8}{100}}[/tex]

= $2023.6

The price of a car that was previously worth 25,295 will be:

= $25295 - $2023.6

= $23271

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Answer:

99 yards

Step-by-step explanation:

374 - 88 = 286

286 - 88 = 198

198/2 = 99

length = 99

The required length of the given rectangular field is 99 yards.

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

Given that,

the perimeter of rectangular field is 374 yards.

And its width is 88 yards.

Suppose the length is x yards.

Since the perimeter of a rectangle is given as P= 2(l + b), where l is the length and b is the width .

Substitute the respective values to get,

374 = 2(88 + x)

=> 2x = 374 - 176

=> 2x = 198

=> x = 99

Hence, the length of the rectangular field is given as 99 yards.

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Answer:

490

Step-by-step explanation:

200 + 100 = 300

50 + 50 = 100

300 + 100 = 400

400 + 90 = 490

Answer:

85% of 40

Step-by-step explanation:

We can do this in two ways, we can either use percent proportions or use benchmark percentages. I'll do both.

So the equation for percent proportions will look something like this:

34/x = 40/100

So to solve this, we do 34*100/40, which is 3400/40 which equals 85. That means that 34 is 85% of 40 inches.

Another way to do this is to use benchmark percents:

10% of 40 is 4 and, so you do 40-4 and get 36. Then we need to get 2 more down so we do 5% of 40 which is 2, so we do 36-2 or 40-6.

Then we add up the percents which would add up to 15%, we do 100-15 and get 85%

Or we could just say, well 6 is 15% of 40 so we do 100-15 and 40-6 and get that 34 = 85% of 40

Let me know if you have any questions

Let me know if you have any questions

Answer:

25

Step-by-step explanation:

the question basically translates to

160% x n =40  

a little trick with percents I use is that the word "of" always means multiplication.

n=40/160%=25

Answer:

Step-by-step explanation:

      7

2

Decimal Form:

3.5

Mixed Number Form:

3

12

Answer:

2 dollar

Step-by-step explanation:

Answer:

i answered but it got deleted its 12

Step-by-step explanation:

Answer:

(4, -2 1/2)

Step-by-step explanation:

The 4 is positive because it goes to the right on the x axis, and the 2 1/2 is negative because it goes down on the y axis.

Answer:

(4, -2 1/2)

Step-by-step explanation:

i did edge test

The matching is done is below.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match each equation to the property it illustrates.

Commutative property → 8 × 4 = 4 × 8

Identity property of addition → 9 + 0 = 9

Associative property → (2 + 6) + 3 = 2 + (6 + 3)

Distributive property → 2(3 + 7) = (2)(3) + (2)(7)

Identity property of multiplication → (16)(1) = 16

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Answer:

natural

Step-by-step explanation:

( 0123456789------------------------)

Answer:

Step-by-step explanation:

a . An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

b . An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

c . An output is a special type of relation for which there is a rule that pairs each input with exactly one output.

d . An output is a set of ordered pairs in which no y-value repeats.

Answer:

x = 4

Step-by-step explanation:

Using cosine triangle formula, we know that;

c² = a² + b² - 2ac(cos C)

From our diagram;

a = 2x

b = x + 1

c = 7

C = 60°

Thus;

7² = (2x)² + (x + 1)² - 2(2x)(x + 1)cos 60

49 = 4x² + (x² + 2x + 1) - (4x² + 4x)(0.5)

49 = 5x² + 2x + 1 - 2x² - 2x

3x² + 1 - 49 = 0

3x² - 48 = 0

3x² = 48

x² = 48/3

x² = 16

x = √16

x = 4

Answer: A is 7 B is 9 C is 9 D is 8 and E is 8

Step-by-step explanation:

The rate paid per hour for the given condition will be $7.89 per hour thus option (D) is correct.

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

As per the given,

Total paid = $157.80

Total hours working = 20 hours

Rate of change = 157.80/20 = $7.89 per hour

Hence "The hourly wage for the specified circumstance will be $7.89.".

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Answer:

48.37

Step-by-step explanation:

48.37

Answer:

48.37

Step-by-step explanation:

Answer:

They spent 112 dollars on props.

The required total 16% spend on the props is $112.

Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
                                       = $ 112

Thus, the required total 16% spend on the props is $112.

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Answer:

The margin of error for a 99% confidence interval. is of $2.25.

Step-by-step explanation:

We have the sample's variance, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 600 - 1 = 599

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 600 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.84.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}}[/tex]

In which s is the standard deviation of the sample(square root of the variance) and n is the size of the sample.

In this question:

[tex]s = \sqrt{375}, n = 600[/tex]. So, the margin of error is of:

[tex]M = 2.84\frac{\sqrt{375}}{\sqrt{600}} = 2.25[/tex]

The margin of error for a 99% confidence interval. is of $2.25.

Answer:

h = 3   x = 1

Step-by-step explanation:

Answer:

%0.00032

Step-by-step explanation:

.2x.2x.2x.2x.2x

Answer:

C. 1

Step-by-step explanation:

From the chart given, it shows that the number of makes that chose bike riding as their favorite activity are 10.

Females who chose bike riding activity are 9.

The difference between number of makes and number of makes and females who chose bike riding = 10 - 9 = 1

Therefore, this means that 1 more male than the female chose bike riding.

Answer:

1 4  Our soil calculator can be used to help you determine how much soil all of your containers will need. Whether you are growing in raised beds, 5 gallon buckets

Step-by-step explanation:

Answer:

Prime number - 3/6 = 1/2

Head - 1/2

Step-by-step explanation:

prime numbers are 2, 3 and 5 on a die