How do I calculate the area and perimeter of this triangle?

Answer:

-2.053 to  2.053  is ± .48 from z=0

Step-by-step explanation:

Answer:

Flow rate is 2 people per minute

Step-by-step explanation:

The computation of the number of people stepping into the roller coaster is shown below:

Here we use the little law

As we know that

Inventory or number of jobs = throughput or flow rate × flow time

20 = throughput or flow rate × 10

Therefore

Flow rate is 2 people per minute

We simply applied the above formula

Answer:

no

Step-by-step explanation:

Prime factorization of 66

\(66=\)\(2\) × \(3\) × \(11\)

the perfect cubes are the numbers that possess exact cubic roots

\(\sqrt[3]{66}\) ≈ \(4.04\)

66 is not a perfect cube

Hope this helps

Answer:

Step-by-step explanation:

(3/8)x - 9 + 4/5

40(3/8x - 9 + 4/5)

15x - 360 + 32

15x - 328

Answer:

3/8 x - 7 1/5

Step-by-step explanation:

3/4 (1/2 x - 12) + 4/5

3/8 x - 8 + 4/5

15/40 x - 8 x 32/40

15/40 x - 7 8/40

15/40 x - 7 1/5

3/8 x - 7 1/5

Answer:

An event with a probability of 0 is impossible.  

An event with a probability of 1 is certain.

Answer:

See below:

Step-by-step explanation:

At x axis intercepts, the value of y = 0

0 = -3/5 ( x+7)^2   + 6

-6(-5/3) =   (x+7)^2

 10 = (x+7)^2

x =  -7 +- sqrt (10)

Answer:

\( x = -7 \pm \sqrt{10 \)

Step-by-step explanation:

The x-intercepts occur where y = 0.

-3/5(x + 7)² + 6 = 0

-3(x + 7)² + 30 = 0

-3(x² + 14x + 49) + 30 = 0

-3x² - 42x - 147 + 30 = 0

3x² + 42x + 117 = 0

\( x = \dfrac{-42 \pm \sqrt{42^2 - 4(3)(117)}}{2(3)} \)

\( x = \dfrac{-42 \pm \sqrt{360}}{6} \)

\( x = \dfrac{-42 \pm 6\sqrt{10}}{6} \)

\( x = -7 \pm \sqrt{10 \)

Examining the figure the questions are solved to be

Common internal tangent = line HJ

point of tangency = G

Center = A

chord = line GK

secant = line CD

diameter = EF

common external tangent = line KF

radius = line BF

semi-circle = arc EGF

Major arc = arc CDK

Minor arc = arc CK

A major arc refers to the arc that is more than 180 degrees while minor arc is below 180 degrees.

considering the figure the arc CDK is above 180 degrees hence the major arc other major arcs are

DKG

GCD and so on.

while some of the minor arcs are

arc DG

arc DK

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Answer:

Length of 6 feet

Width of 2 feet

The estimate of the perimeter of the countertop is 16 feet.

Step-by-step explanation:

Rectangle:

A rectangle has two dimensions: The length(l) and the width(w). The perimeter of a rectange is:

P = 2(l + w).

In this question:

Length: 5.75 feet

Width: 2.47 feet.

Round the length and width to the nearest whole number .

5.75 is closer to 6(0.25) than to 5(0.75). So the length is 6 feet.

2.47 is closer to 2(0.47) than to 3(0.53). So the width is 2 feet.

Then estimate the perimeter of the countertop

P = 2(l + w) = 2(6 + 2) = 16

The estimate of the perimeter of the countertop is 16 feet.

Answer:

y=8

Step-by-step explanation:

4x8=32

Answer:

y=8

Step-by-step explanation:

Let's solve your equation step-by-step.

32=4y

Step 1: Flip the equation.

4y=32

Step 2: Divide both sides by 4.

4y/4=32/4

y=8

Given:

To determine the equivalent to the given expression, we follow the process shown below:

As we can see, 2 is the tenth digit , so it can be written as 2/10, while 7 is the hundredth digit so it would be 7/100. Since the exponent is 6.27, it could be written as 6+2/10+7/100.

Therefore, the answer is: C

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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Answer:

0.5

Step-by-step explanation:

We have the formula

\( \frac{n}{p} = 140\)

N is the number of steps per minute, and we know that Heiko takes 70 steps per minute, making N 70. Now we can reverse this simple formula - if n over p is 140, then 140 X P gives us N. Or, in other words, 70 divided by something is 140. 70 divided by a half is 140, making P 0.5.

The solution has been explained below.

We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.

1. Calculate the pool's diameter and radius:

We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.

The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.

2. Calculate the amount of water in the pool:

Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.

The formula A = πr² can be used to calculate the area of the pool's base,

Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.

3. Determine the pool's total material cost:

There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.

As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.

If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.

4. Calculate the pool's total labour hours:

A pool's construction is estimated to take 2.5 hours for every foot of its radius.

So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.

5. Calculate the total cost of labour for the project:

If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.

6. Find the project's overall cost:

The project's overall cost is the product of its labour and material costs:

Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.

In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.

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Answer:

Step-by-step explanation:

no. of black balls = 5

no. of white balls = 6

total no. of balls = 5 + 6 = 11

The probability of picking a white ball = 6/11

no. of red balls = 15

no. of black balls = 25

total no. of balls = 15 + 25 = 40

The probability of selecting a black ball = 25/40

by simplifying,

25/40 = 5/8

hope this helps

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Answer:

5* 10^(-5)m is the scientific notation of 0.00005m.

Answer: 45 bags

Step-by-step explanation:

1.5 square yards = 13.5 feet

area sq ft = 600

= 44.44

= 45 bags

The sum of the terms is x^7+10x^4+4x^3-5x^11-10x^6

To determine the value, we need to know that algebraic expressions are described as expressions that are composed of factors, constants, variables, terms and coefficients.

These algebraic expressions are also identified with the presence of arithmetic operations,

These operations are;

From the information given, we have that;

7x^7+10x^4+4x^3-5x^11-10x^6-6x^7

collect the like terms

7x^7 - 6x^7+10x^4+4x^3-5x^11-10x^6

add the like terms

x^7+10x^4+4x^3-5x^11-10x^6

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Answer:

15x3.14=4.1

Step-by-step explanation:

The circumference in terms of π is 15π cm

The circumference of a circle is its boundary or the length of the complete arc of a circle and is given by: Circumference = π × Diameter

Given here, the diameter is 15, and thus using the formula we get the circumference of the circle as = 15×π

                                                   = 15π cm

Hence The circumference in terms of π is 15π cm

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Answer:

D should be correct

Step-by-step explanation:

Ans 7, 9, 11

Step-by-step explanation:

Think of it as an equation.  You have 3 integers x, y, and z.

x + 2y = z + 14.  

Plug in consecutive odd integers, picking your next set of trial and error integers based on how far off the equation is.

In this case, 7 + (2 * 9) = 11 + 14

In this example, it took me three attempts to get the correct answer.

Vertex (3, -4) with x-intercepts (1, 0), (5, 0), and (0, 5) and an axis of symmetry of 3. As a result, choice B is the right response.

In a graph, what exactly is a vertex?

The right response is, therefore, option B.

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Full Question-

What characteristics can you see in the graph of the quadratic function in the figure? Options for question 14: A: The vertex is at (-4,3), the y-intercept is at (5,0), the x-intercepts are at (0,1) and (0,5), and the symmetry axis is at (-4,3) B: The vertex is at (-3,-4), the y-intercept is at (0,5), the x-intercepts are at (1,0) and (5,0), and the symmetry axis is at (3); C: Vertex: (3, -4), y-intercepts: (1, 0), and (5, 0), x-intercept: (0, 5), axis of symmetry: (3 D) Axis of symmetry is at x = -3, vertex is at (-3,4), y-intercept is at (0,5), and x-intercepts are at (1,0) and (5,0).

Answer:

  (b)  4.65×10⁹

Step-by-step explanation:

You want 4,650,000,000 written in scientific notation.

A number is written in scientific notation in the form shown in the second attachment. The coefficient has one digit to the left of the decimal point. The remaining significant digits of the number are to the right of the decimal point.

The exponent is the same as the exponent of the place value of the most significant digit of the number. Some of those exponents are shown in the first attachment.

The given number has its most significant digit (4) in the "billions" place. The corresponding exponent of 10 is 9. Putting 4 to the left of the decimal point, the number is written in scientific notation as ...

  4.65×10⁹

__

Additional comment

In the above, we have used the superscript font to indicate the exponent. In plain text, an exponent is indicated with a caret (^), as in 4.65·10^9.

If you use an "x" character for a multiplication symbol, you need to make sure it cannot be confused with a variable named "x".

In spreadsheets and some calculators, the base and exponent are written as "E". Here, the number would be 4.65E9. (This is a carryover from one of the earliest high-level computer programming languages.)

(You will notice that the number in the second attachment is similar to, but not the same as, the one given in this problem statement. We intend that attachment to show the format, not the answer to this question.)

Answer:

The compound inequality which is used to model the normal rage of pH values of water is:

x>6.5 and x<8.5    (6.5<x<8.5)

Step-by-step explanation:

It is given that:

Normal drinking water needs to have a pH of less than 8.5 and greater than 6.5.

This means that the pH level of the water will lie in the range in between 6.5 and 8.5 excluding them.

Hence, if the pH level is less than or equal to 6.5 or greater than or equal to 8.5 then it could not be used for drinking purpose.

If x represent the pH of the normal drinking water then:

                 6.5 < x < 8.5

i.e. x>6.5 and x<8.5

For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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Answer:

57,000

Step-by-step explanation:

The length and width of the rectangle is 16 ft and 13 ft respectively.

The perimeter of a rectangle = 2(length + width)

The perimeter of a rectangle = 2(length + width)

58 = 2{(w + 3) + w}

58 = 2(w + 3 + w)

58 = 2(3 + 2w)

open parenthesis

58 = 6 + 4w

subtract 6 from both sides

58 - 6 = 4w

52 = 4w

divide both sides by 4

w = 52/4

w = 13

Hence,

Width of the rectangle = w ft

= 13 ft

Length of the rectangle = (w + 3) ft

= 13 + 3

= 16 ft

Therefore, the dimensions of the rectangle is given by 16 ft and 13 ft respectively

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Answer:

-16 3/28

Step-by-step explanation:

sowwy if wrong owo

1. multiply

-2 3/4 * 5 6/7 = -11/4 * 41/7 = -451/28

2. simplify

-451/28 = -16 3/28

Answer:

c.vertical angle is the answer

Answer:

c

Step-by-step explanation:

vertical

correct answer is c