hi just need some help of this geometry homework thank you

point slope form:

y + 3= -1/5 x (x+0)

Step-by-step explanation:

-use the point slope form equation: y - y1 = m (x - x1).

-using the given information we know that m = -1/5 and that the y intercept is (0,-3).

- y and x will be kept as a variable.

-plug in the y1 and x1 from the y intercept:

y + 3 = m(x + 0)

-once you've plugged in the y intercept then plug in the slope which gives you the answer:

y + 3= -1/5 x (x+0)

The missing variables on item 2 are given as follows:

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For the angle of 60º, we have that:

Hence the length o is given as follows:

tan(60º) = o/12.

\(\sqrt{3} = \frac{o}{12}\)

\(o = 12\sqrt{3}\)

Applying the Pythagorean Theorem, the length i is given as follows:

i² = 12² + \((12\sqrt{3})^2\)

i² = 576

i² = 24²

i = 24.

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Answer:

o = 12√3

i = 24

Step-by-step explanation:

From observation of the given right triangle, we can see that two of its interior angles measure 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, the triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #2, the shortest leg is 12 units.

As "a" is the shortest leg, the scale factor "a" is 12.

The side labelled "o" is the longest leg opposite the 60° angle. Therefore:

\(o = a\sqrt{3}=12\sqrt{3}\)

The side labelled "i" is the hypotenuse of the triangle. Therefore:

\(i= 2a = 2 \cdot 12=24\)

Therefore:

Solve- 55+0.50m = 66

          -55                 -55

            0.50m = 11

             0.50      0.50  cross out the 5´s

               m=22

\( \: \: \: \: \: \)

Graph of a proportional relationship

A proportional relationship can be written as

y = kx

Where k is a constant.

In the problem, the horizontal axis represents the time in minutes it takes for the sunshine cleaning service to vacuum a carpet's square yards of area, represented in the y-axis.

We know the service vacuums 8 square feet of carpet every 4 minutes. This means the point (4,8) must belong to the graph.

If the service works at a constant rate, then in 2 minutes (half the time) it would vacuum half the area of 4 square feet. This is the point (2,4).

The only graph that has both points and is a straight line passing through the origin is the graph marked with the letter B.

the total percentage increase in the investor's stock account is 22%.

In mathematics, a ratio or figure that can be expressed as a fraction of 100 is known as a percentage. If we want to calculate a percentage of a number, we should split it by 100 before multiplying it by the original number. Therefore, the percentage relates to a component per 100. The term percent means "per 100". It is represented by the symbol "%". In mathematics, a percentage is a number or ratio that is represented as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most commonly used to denote it. A percentage is a number that has neither measurements nor a defined unit of measurement.

In the given question,

Increase in stock A= 24% of $5150 = 1236

Increase in stock = 20% of $5250 = 1050

The  total percentage increase in the investor's stock account= {(1236+1050)/(5150+5250)* 100=

= 21.98%

≈22%

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Answer:

you can buy 14 but have £.25 for change

Answer:

x|x∈R(all real numbers)

y|y∈R(all real number)

Yes its is

Hope This Helps!!!

2560 fluid ounces in pints is 160 which is A.

If this is incorrect, please don't refrain to tell me and I'll correct my answer. Thank you.

thanks for this

Answer:

7286.4

Step-by-step explanation:

Well u know that area means multiply so 8 x 11 x 18 x 4.6 is equal to 7286.4 hope this helps

Answer: 135.8 inches

Step-by-step explanation:

Area of a triangle: a= h × b/2

Area of a square: h × b

triangle: 18 × 11/2

198÷2= 99

square: 8 × 4.6= 36.8

so, 99 + 36.8= 135.8

The volume of the cylinder is 72π cubic centimeters.

Volume is a measure of the amount of space occupied by an object or a substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, cubic feet, or cubic inches.

For solid objects, volume refers to the amount of space the object occupies in three-dimensional space.

The formula for the volume of a cylinder is:

V = Bh

where B is the area of the base of the cylinder, and h is the height of the cylinder.

In this problem, the cylinder has a diameter of 6 centimeters, which means the radius is 3 centimeters. The area of the base of the cylinder is therefore:

B = πr²

B = π(3 cm)²

B = 9π cm²

The height of the cylinder is given as 8 centimeters. Therefore, we can use the formula for the volume of a cylinder to find the volume V:

V = Bh

V = (9π cm²)(8 cm)

V = 72π cubic centimeters

Therefore, The volume of the cylinder is 72π cubic centimeters.

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Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for \(f(x) = 3 - \dfrac{1}{2}x\) from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

\(L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x\)

where:

\(\Delta x = \dfrac{b-a}{a}\)

a = 2

b =14

n = 6

∴

\(\Delta x = \dfrac{14-2}{6}\)

\(\Delta x = \dfrac{12}{6}\)

\(\Delta x =2\)

Hence;

\(x_0 = 2 \\ \\ x_1 = 2+2 =4\\ \\ x_2 = 2 + 2(2) \\ \\ x_i = 2 + 2i\)

Here, we are  using left end-points, then:

\(x_i-1 = 2+ 2(i-1)\)

Replacing it into Riemann equation;

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix} 2+2 (i-1) \end {pmatrix} \end {pmatrix}2\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2i-2)\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 -2i\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 2i\)

\(L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - 2 \lim_{n \to \infty} \sum \imits ^{6}_{i=1} i\)

Estimating the integrals, we have :

\(= 6n - 2 ( \dfrac{n(n-1)}{2})\)

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

Answer:

23.2

Step-by-step explanation:

Scaling down by a factor of 1/10 is equal to dividing the number by 10.

So 232 getting scaled down by a factor of 1/10 is equivalent to 232/10 i.e. 23.2.

Answer:

    \(\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}\)      =   \(\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}\)

Step-by-step explanation:

Step(i):-

Given  expression

        \(\frac{(x+3)^{2} }{(x+3)(x^{2} +1)}\)

      = \(\frac{(x+3) }{(x^{2} +1)}\)

Step(ii):-

    = \(\frac{x }{(x^{2} +1)} +\frac{3 }{(x^{2} +1)}\)

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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A pilot is flying over the ocean. She determines the angles of depression to the two ships are 49 and 68 as shown. The plane is 4 miles from A. The ships are 3.8 miles apart from each other.

In ΔABC,

There are two ships at point A and B in the ocean(a flat water level).

A pilot is flying at point C over the ocean.

Angle of depression from C to A = 49°

Angle of depression from C to B = 68°

Since, DE || AB

Hence because of alternate interior angles are equal.

Therefore, ∠DCA = ∠BAC = 49°, and

∠ECB = ∠ABC = 68°

Now in ΔABC, sum of three inside angles in a triangle is 180°.

Hence, ∠A + ∠B + ∠C = 180°

49° + 68° + ∠C = 180°

∠C = 180° - 49° - 68° = 63°

Now, in ΔABC ∠A = 49°, ∠B = 68°, ∠C = 63°

Distance of A to C = AC = b = 4

By using sine rule, \(\frac{a}{SinA} = \frac{b}{SinB} =\frac{c}{SinC}\)

\(\frac{a}{Sin49\textdegree} = \frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{Sin68\textdegree} =\frac{c}{Sin63\textdegree}\)

⇒ \(\frac{4}{0.9271} =\frac{c}{0.891}\)

⇒ c x 0.9271 = 0.891 x 4

⇒ c x 0.9271 = 3.564

⇒ c = \(\frac{3.564}{0.9271}\)

⇒ c = 3.8442

Rounding off to the nearest tenth of a mile,

c = 3.8

Therefore, distance between two ships = AB = c = 3.8 miles

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Answer and explanation:

Find attached

Both customers' arrival and service times follow exponential distribution. We have calculated the essential operating characteristics of this queuing system

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

576

Step-by-step explanation:

base times height

so 72*8

which is 576

Answer:

Anything that is 11 or greater

Step-by-step explanation:

please make brainliest

Answer:

y is greater than 10

Step-by-step explanation:

(10, undefined)

Step 1

Find the equation of f(x)

Thus f(x) will be;

Step 2

Find the equation of y= -f(x) then plot the graph

Thus the graph using the points below will look like;

Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Answer:

3-x

Step-by-step explanation:

2-x+1

collect like terms

=2+1-x=3-x

Answer:

it's. 7000

Step-by-step explanation:

1 kg = 1000 g

7 kg × 1000 g = 7000g

Answer -. 7 kg = 7000 g

Thanks

A graph of the resulting triangle after a rotation of -180° about the origin is shown below.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point T (6, 0)  →  Coordinates of point T' = (-6, 0)

Coordinates of point O (-2, -5)  →  Coordinates of point O' = (2, 5)

Coordinates of point P (-2, 5)  →  Coordinates of point P' = (2, -5).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

A z-score calculates how many standard deviations an observation is from the mean. An observation is said to be above the mean if the z-score is positive, while it is said to be below the mean if the z-score is negative.

For the 3-year-old boy, the z-score is:

z = (43 - 38) / 2 = 2.5

The z-score for the 10-year-old girl is:

z = (57 - 54.5) / 2.5 = 1

The 3-year-old boy has a higher z-score than the 10-year-old girl, indicating that he is more unusually tall for his age and gender. This is due to his height, which is higher than the average for his age group 38 inches .

Therefore, the 3-year-old boy is more unusually tall for his age and gender than the 10-year-old girl.

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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The margin of error is defined as follows:

M = 1.9z/sqrt(n).

In which:

The bounds of the confidence interval are given as follows:

\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)

In which:

The margin of error is then given as follows:

\(M = z\frac{\sigma}{\sqrt{n}}\)

The problem is incomplete, hence the general procedure to obtain the sample size was presented.

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