Find the lengths of the missing sides if side a is opposite to angle A, side b is opposite angle B and side c is the hypotenuse. a=6, angle A=30 degrees. b= c=

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The sequence 3n + 5 because each next term has a constant common difference of 3.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

4. (a). Given, The nth term of a progression is 3n + 5.

Now, Putting some value of 'n' we have,

when n = 1,

a₁ = 8.

when n = 2,

a₂ = 11.

when n = 3,

a₃ = 14.

Now, a₃ - a₂ = a₂ - a₁ = 3.

So, the sequence has a common difference of 3 and hence it is an arithmetic sequence.

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The maximum home value that can be financed is approximately $35,365.85.

Let's represent the maximum home value that can be financed by H.

If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.

Therefore, we have:

H × 82% = $29,000

Multiplying both sides by (1/82%), we get:

H = $29,000 / 82%

= $35,365.85

Hence, the maximum home value that can be financed is approximately $35,365.85.

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Answer:

1.05

Step-by-step explanation:

it is 105 divided by 1000

Answer:

0.105 metres

Step-by-step explanation:

105 divided by 1000

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

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Answer:

-11/20 or -0.55

Step-by-step explanation:

1/5 = 4/20

3/4 = 15/20

4/20 - 15/20 = -11/20

Answer:

- 11/20

or

-0.55

Step-by-step explanation:

PLZ MRAK ME BRAINLIEST

In this quadrilateral, we have that

mmside GH is parallel to side JI

so

side GJ must be parallel to side HI too

therefore

opposite sides are parallel

the four interior angles must be congruent

The answer is the option

Answer:

y = 3/2*x - 5

Step-by-step explanation:

Lets say that P1=(6,4) and P2=(4,1) and that the form of the equation must be y=m*x+b where m is the slope and b the independent variable. Then having two given points we can use the slope formula to find the slope value as:

P1=(x1,y1) and P2=(x2,y2)

slope formula --->   m=(y2-y1)/(x2-x1)

Replacing the given points --->    m=(1-4)/(4-6) = 3/2

then replacing the slope value obtained:

y = 3/2*x + b

Now lets find the value of b. For this we have to replace in the equation a point it can be P1 or P2, i will replace P2:

1 = 3/2*4 + b

1 = 6 + b

1 - 6 = b

-5 = b

therefore the line equation is:

y = 3/2*x - 5

Answer:

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

\( = \frac{2}{3} x\)

Then, it is reduced by 13

\( = \frac{2}{3} x - 13\)

After that,

The req. result we get is = 7

Therefore,

By the problem,

\( = > \frac{2}{3} x - 13 = 7\)

\( = > \frac{2}{3} x = 7 + 13\)

\( = > \frac{2}{3}x = 20\)

\( = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} \)

=> x = 30

Hence,

The req. number is 30.

Given that :

To Find :

Solution :

Let's assume the number as x

According to the question :

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }\)

Adding 13 to both sides we get :

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }\)

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }\)

Now, Multiplying both sides by \( \dfrac{3}{2} \) we get :

\(\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }\)

\(\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }\)

\(\qquad \sf \: { \dashrightarrow x = 10 \times {3} }\)

\(\qquad \bf \: { \dashrightarrow x = 30 }\)

Therefore, The number is 30.

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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First we multiply 9 and 15, which is 135cm. 100cm = 1m so the plant will grow 1.35m, so the plant is now 9.35m

Answer;

260

Step-by-step explanation:

7.2

Answer:

7

Step-by-step explanation:

Answer:

7627.36

Step-by-step explanation:

95342 * 8% = 7627.36

Answer:

Marcus earns 15% commission on his total sales at work.

Suppose Marcus's sales totaled $725 last week. How much did he earn in commission?

A.

$833.75

B.

$616.25

C.

$108.75

D.

$10.88

Step-by-step explanation:

9514 1404 393

Answer:

  A. irrational only

Step-by-step explanation:

A decimal fraction is not a natural number or integer, so choices C and D can be eliminated immediately.

The decimal has a predictable pattern, but that pattern guarantees it does not repeat. A non-repeating, not-terminating decimal is an irrational number.

Answer:

(5) 122 feet

Step-by-step explanation:

Perimeter of fencing:

\(2((25 + 4 + 4) + (20 + 4 + 4))\)

\(2(33 + 28) = 2(61) = 122\)

Answer:

reciprocal of 4 = 1/4

Step-by-step explanation:

By definition, a reciprocal of a/b = b/a.

Since 4 is the same as 4/1, then it's reciprocal must be 1/4.

Answer:

1/4

Step-by-step explanation:

because 4 = 4/1

reciprocal means to flip it upside down 4/1 = 1/4

Answer:

  $2496

Step-by-step explanation:

You want to know the cost of carpeting a 18 ft by 24 ft room with carpet that costs $52 per square yard.

The dimensions of the room in yards are (18 ft)/(3 ft/yd) = 6 yd, by (24 ft)/(3 ft/yd) = 8 yd.

In square yards, the area is ...

  (6 yd)(8 yd) = 48 yd²

The cost of one square yard of carpet is $52, so the cost of 48 square yards will be 48 times as much.

  (48 yd²)($52/yd²) = $(48·52) = $2496

The total price to carpet the floor is $2496.

__

Additional comment

We're reluctant to call this the total price, as there are usually additional charges for tax, carpet pad, delivery, installation, removal and disposal of old flooring, and possibly additional materials such as tack strips or thresholds. Repairing mold or water damage, or leveling the floor, can also add cost.

<95141404393>

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

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Answer:

To divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

For more examples and explanatTo divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

For dividing fractions:

Remember:

Keep Change Flip

Keep the first the same

Change the sign to multiplication

Flip the second fraction.

EX.

\(\frac{4}{5}\) ÷ \(\frac{1}{2}\)                           >Keep, Change Flip

=\(\frac{4}{5}\) * \(\frac{2}{1}\)                          >Now it's multiplication, reduce first if you can

                                    (nothing reduces in this problem), so mulitply

                                    across

= \(\frac{8}{5}\)

Answer:

-k+8k=7k is the solution

Answer:

(x - 1/8) * 1/4 = 1/16

x - 1/8 = 1/16

x = 1/16 + 1/8

x = 3/8

Answer:

$11.13

Step-by-step explanation:

24 cans = $38.16

divide both sides by 24 to find the cost per can, as this leaves us with 1 can on one side

24 cans / 24 = $38.16 / 24

1 can = $1.59

multiply both sides by 7 to get 7 cans of soup on one side, which is what we want

1 can * 7 = $1.59 * 7

7 cans = $11.13

Answer:

1,2,3,7

a function can only have one y for every x

the first 3 have multiple y values for a single x value as well as the seventh one has 2 y values for that one x value

(first 3 on top not functions, 3rd one on the bottom also not a function)

Step-by-step explanation:

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

The quotient in simplest form is \(x^3 * (x+1)/(x-4).\)

A fractiοn represents a part οf a whοle οr, mοre generally, any number οf equal parts. When spοken in everyday English, a fractiοn describes hοw many parts οf a certain size there are, fοr example, οne-half, eight-fifths, three-quarters.

Numeratοrs and denοminatοrs are alsο used in fractiοns that are nοt cοmmοn, including cοmpοund fractiοns, cοmplex fractiοns, and mixed numerals.

In pοsitive cοmmοn fractiοns, the numeratοr and denοminatοr are natural numbers. The numeratοr represents a number οf equal parts, and the denοminatοr indicates hοw many οf thοse parts make up a unit οr a whοle.

Tο divide fractiοns, we invert the secοnd fractiοn and multiply it by the first. Sο:

4x⁵/12x² ÷ (x²-3x-4)/(3x+3)= (4x⁵/12x²) * (3x+3)/(x²-3x-4)

Inverted secοnd fractiοn and multiplied

= (4/12) * (x⁵/x²) * (3(x+1)/(x-4)(x+1))

Factοred the denοminatοr οf the secοnd fractiοn

= (1/3) * \(x^{(5-2)\) * (3(x+1)/(x-4))

Simplified and cancelled οut cοmmοn factοrs\(= (1/3) * x^3 * (3(x+1)/(x-4))= x^3 * (x+1)/(x-4)\)

Therefοre, the quοtient in simplest fοrm is  \(x^3 * (x+1)/(x-4).\)

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Answer:

<

Step-by-step explanation:

To solve this correctly you need to remember how to compare integers.

Answer:

\(y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

\(y = 1 -2x\)

Rearrange into slope-intercept form:

\(y = -2x+1\)

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of \(\displaystyle\frac{1}{2}\). Plug this into \(y=mx+b\):

\(y=\displaystyle\frac{1}{2} x+b\)

Determine the y-intercept (b):

\(y=\displaystyle\frac{1}{2} x+b\)

Plug in the given point (1,3) and solve for b:

\(3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}\)

Therefore, the y-intercept is \(\displaystyle \frac{5}{2}\). Plug this back into \(y=\displaystyle\frac{1}{2} x+b\):

\(y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}\)

I hope this helps!

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

A

Step-by-step explanation:

Hope This Helps

The biconditional statement for the given conditional statement would be:

2x = 18 if and only if x = 9.

The given conditional statement "If 2x = 18, then x = 9" can be represented symbolically as p → q, where p represents the statement "2x = 18" and q represents the statement "x = 9".

To form the biconditional statement, we need to determine if the converse of the conditional statement is also true. The converse of the original statement is "If x = 9, then 2x = 18". Let's evaluate the converse statement.

If x = 9, then substituting this value into the equation 2x = 18 gives us 2(9) = 18, which is indeed true. Therefore, the converse of the original statement is true.

Based on this, we can write the biconditional statement:

2x = 18 if and only if x = 9.

The biconditional statement implies that if 2x is equal to 18, then x must be equal to 9, and conversely, if x is equal to 9, then 2x is equal to 18. The biconditional statement asserts the equivalence between the two statements, indicating that they always hold true together.

In summary, the biconditional statement is a concise way of expressing that 2x = 18 if and only if x = 9, capturing the mutual implication between the two statements.

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