14 A ladder 10m long leans against a wall and make 45" with the ground. What is the height of the wall? 14 A ladder 10m long leans against a wall and make 45 " with the ground . What is the height of the wall ?​

Answer:

56cmsquared

Step-by-step explanation:

if you look clearly at that question that diagram which has the coloured part out of that small square comes a quarter circle.

now take that quarter circle and get its area .

then put a dotted line such that they'll be formation of a triangle in that quarter circle.

then get the area of that quarter triangle in minus it from the area of the quarter circle.

and you'll get the area of 1 shaded part because you had subdivided those shaded parts by the dotted line you had kept earlier in order to emerge with a triangles

after that what multiply what you got by two to get the whole shaded part then finalize by multiplying by two because two shapes were shaded.

good day

Answer:

Answer:

x = 12

Step-by-step explanation:

m∠S + m∠T = 180

8x + 7x = 180

15x = 180

x = 12

does this help?

The height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have given a table:

Time     height

2                8

4               12

6                16

8               20

10              24

The slope of the line = (12-8)/(4-2) = 4/2 = 2

The value of the slope is positive we can say,  the height of water increases as time passes.

Thus, the height of water increases by 2 inches per minute option first "The height of the water increases 2 inches per minute" is correct.

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the answer is A: The height of the water increases 2 inches per minute.

hope this helped :)

Answer:

=  -10

Step-by-step explanation:

p + (-q) - 2 = x

if:

p = -3

q = 5

then:

-3 + (-5) - 2 = x

we know that:

+(-) = -

then:

-3 +(-5) - 2 = -3 - 5 - 2 = x

x = -10

The value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

= P + (-q) - 2

Plug p = -3

q = 5

= -3 + (-5) - 2

= -3 - 5 - 2

= -10

Thus, the value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.

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By applying reflection theory and constructing a geometric system of two proportional right triangles, the height of the stainless steel globe is approximately 140 ft.

By physics we know that both the angle of incidence and the angle of reflection are same. Thus, we have a geometric system formed by two proportional right triangles:

5.6 ft / 4 ft = h / 100 ft

h = (5.6 ft × 100 ft) / 4ft

h = 140 ft

By applying reflection theory and constructing a geometric system of two proportional right triangles, the height of the stainless steel globe is approximately 140 ft.

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The pair of equations (c) y = (1 / 6) x + 8 and y = 6x + 4 are not parallel

A linear equation is represented as:

y = mx + b

Where m is the slope of the line

Two lines are said to be parallel if their slopes are the same

i.e. y = mx + b and y = mx + c

Using the above as a guide, the option (c) represents lines that are not parallel, because they do not have the same slope

Hence, y = (1 / 6) x + 8 and y = 6x + 4 are not parallel

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Answer: The answer is x < 5/2 and x > -5.

Step-by-step explanation:

First you need to separate the inequality and keep x on one side to maintain consistency. For instance the problem-

[tex]\frac{5-2x}{3} > 0\\\frac{5-2x}{3} < 5\\[/tex]

Now solve as normal.

*Note: When dividing a side or multiplying a side by a negative number, the sign of the inequality switches (this will be shown when I do the equation if it doesn't make since how I word it).

[tex]5-2x > 0*3\\5-2x < 5*3[/tex]

[tex]-2x > 0-5\\-2x < 15-5[/tex]

[tex]x < \frac{-5}{-2} =x < \frac{5}{2} \\x > \frac{10}{-2} =x > -5[/tex]

So, x < 5/2 and x > -5.

If anything is confusing about the procedure just leave a comment, and I'll try to explain further.

Answer:

5.0

Step-by-step explanation:

0.16÷0.03220=4.9689

=5.0

The relative frequency of students who are not seniors at this high school will be 82.96%.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

P = a/b × 100

A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors.

Then the relative frequency of students who are not seniors at this high school will be

P = 998/1203 × 100

P = 0.82959 × 100

P = 82.959%

P ≈ 82.96%

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The best counterargument: the margin of error is quite small compared to the change year over year, so it is a significant issue.

In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely.

As, the temperature rises by 0.09 degree.

So, the difference between margin error and increase is higher which is

= 0.13- 0.09

=0.04

Hence, The margin of error is quite small compared to the change year over year, so it is a significant issue.

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The value of the composite function f(g(x)) is 5x + 2

Composite functions are functions inside another function. Given the following functions:

f(x) = 5√x+1 - 2

g(x) = x² - 1

Determine the composite function f(g(x))

f(g(x)) = f(x² - 1)

f(x² - 1) = 5√x² - 1+1 - 2

f(x² - 1) = 5√x² + 2

f(x² - 1) = 5x + 2

Hence the value of the composite function f(g(x)) is 5x + 2

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The mean and standard deviation of the x sampling distribution for each of the following sample sizes will be [tex]N(100,10/\sqrt{41} ), N(100,10/\sqrt{130} )[/tex].

Suppose X has a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma,[/tex]then,

the distribution of the mean of samples of size n, drawn from the values of X, is normally distributed with a mean equal to the mean of X, and a standard deviation equal to [tex]\sigma/\sqrt{n}[/tex]

Symbolically, we write it as:

[tex]X \sim N(\mu, \sigma) \implies \overline{X} \sim N(\mu,\sigma/\sqrt{n} )[/tex]

A random sample is selected from a population with a mean = of 100 and a standard deviation = of 10.

The mean and standard deviation of the x sampling distribution for each of the following sample sizes.

If N=41

[tex]X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{41} )[/tex]

If N=130

[tex]X \sim N(100, 10) \implies \overline{X} \sim N(100,10/\sqrt{130} )[/tex]

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Answer:

slide - translate

Step-by-step explanation:

you slided them both as neither of the figures changed

Answer:

D

Step-by-step explanation:

Original area = x * x  =  x^2

New area =   x ( x +3.5) = x^2 + 3.5x    <====the underlined is the increase in area

Answer:

value of car depreciate each year = $2000

y + 2000x = 16,500

slope of line = -2000

No, not proportional

Step-by-step explanation:

Value of depreciation of an object is given by :-

Depreciation = [tex]\frac{ total Cost-scrap value}{estimated life}[/tex]

according to question ;

total cost = $16500

scrap value = $500

estimated life = 8 years

therefore,

depreciation = [tex]\frac{16500 - 500}{8}[/tex] = [tex]\frac{16000}{8}[/tex] = $2000

now,

let the value of car after 'x' years be 'y'

therefore linear equation showing the relation of x and y is

y + 2000x = 16500

The graph of a linear equation is a line.

If c = 0 in a linear equation (so y = mx), then the equation is a proportional linear relationship between y and x.

If c ≠ 0, then y = mx + c is a non-proportional linear relationship between y and x.

here equation is of type,

y = mx +c, thus it is not linear.

also in the equation y = mx +c,

'm' is the slope of line

therefore by comparing the equation,

y +2000x = 16500

y = -2000x + 16500

slope is - 2000

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Answer: 1

Step-by-step explanation:

[tex]a-bc=7-2(3)=7-6=\boxed{1}[/tex]

Answer:

The answer will be D. 181

Step-by-step explanation:

603 - 422 = 181

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If a system of linear equations has exactly one solution then the slopes of both the lines should be different.

Given A system of linear equations has exactly one solution.

Linear equation is a type of equation  when when plotted on the graph gives a straight line. The slope is the ratio of the vertical change to the horizontal change between two distinct points on a line.

let two equations be who have one solution

2x+3y=7

5x+6y=1

solving them

x=7-3y/2

put the value of x in second equation

5(7-3y)/2+6y=1

35-15y/2+6y=1

35-15y+12y=2

-3y=-33

y=11

put the value of y in x=7-3y/2

x=7-3*11/2

x=7-33/2

x=-26/2

x=-13.

There is only one solution which is (-13,11)

Taking equations and convert them into standard form

first

y=7/3-2/3x

second

y=1/6-5/6x

The standard form is y=a+bx where b is slope

from the above equations we can find that the slope of first equation is -2/3 and the slope of second equation is -5/6. In this way we are able to conclude that slopes should be different for one solution.

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Answer:

-1/11

Step-by-step explanation:

A reciprocal means the reverse of a number. So the numerator becomes a one and the number goes in the denominator (for example 2 becomes 1/2). Or vice versa: the one becomes the denominator and the denominator becomes the numerator (for example 1/2 becomes 2/1 which is 2).

The reciprocal of -1/5 is -5.

The reciprocal of -1/6 is -6.

The sum of both reciprocals: -5 + -6 = -11

The reciprocal of the sum -11 is -1/11.

According to the function transformations, the value of h is -2

The complete question is in the attachment

The functions are given as:

[tex]f(x) = (2.5)^x[/tex]

[tex]g(x) = (2.5)^{x-h[/tex]

From the question, we understand that the function f(x) is translated to the left to get g(x)

From the attached graph, we can see that the function h(x) is 2 units to the left of f(x).

This transformation is represented by:

(x, y) => (x + 2, y)

So, we have:

x - h = x + 2

Evaluate the like terms

h = -2

Hence, the value of h is -2

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Answer:H=-2

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

1) the area can be calculated using the formula:

A=0.5*a*h, where a- base, h-height;

2) if a=8, h=6, then the required area is:

A=0.5*8*6=24 [units²].

Answer: 24 square units

Step-by-step explanation:

The base: 8

The height: 6

The area: 8 x 6 / 2 = 24

/ stands for divided by

Answer:

85%

Step-by-step explanation:

9+51 = 60

(51/3) ÷ (60/3) = 17/20

(17/20)% = 85%

Answer:

A or 19/5

Step-by-step explanation:

To solve first we isolate are variables so we distubte to get -2y-2+21=3y then we add 2y to the opposite side to get -2+21=5y. Then we add -2+21 to get 19 so are equation is 19=5y. Next we just divide 19 by 5 to get y=(19/5) or option A

Alexa's proof is incorrect. She made an error in her counterexample.

"It is a quadrilateral whose all angles measure 90°, opposite sides are parallel and equal in length."

"It is a parallelogram whose all sides are equal in length and all angles measure 90° "

"It is quadrilateral whose opposite sides are parallel and equal in length."

"It is a special kind of example that disproves a statement. "

For given question,

Alexa wants to use an indirect proof to prove that all rectangles are not squares.

We know that, to prove a theorem indirectly, we assume the hypothesis is false, and then arrive at a contradiction. It follows the that the hypothesis must be true.

Alexa first assumes that all rectangles are squares.

Then she provides counterexample as shown in the given diagram.

The diagram represents the parallelogram not a rectangle.

This means  she made an error in her counterexample.

Therefore, Alexa's proof is incorrect. She made an error in her counterexample.

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