What is the quotient of -5.2 / 3.9 ?

Answer:

Step-by-step explanation:

Triangle ABC is a right angled triangle. A right angle triangle has three sides (The hypotenuse which is the longest side and the other two sides which are the adjacent and the opposite).

The side facing the angle of a right angled triangle is the opposite side depending on the angle in consideration.

According to the triangle, AB = hyp = 5, BC = 3 and AC = 4

Side AB is facing the right angle, side BC is opposite to the angle A while side AC is opposite to the angle B.

Based on the conclusion in the last paragraph, it can be concluded that the  length of the side opposite Angle B is AC and since the measurement of AC is 4 units, then the length we are looking for is 4 units.

Answer:

B. 4 units

Step-by-step explanation:

Answer:

B = 21

Step-by-step explanation:

B/7 =3

cross multiply

B = 21

The dimensions of the TV are 15 inches by  (√3)*15 inches, so the correct option is D.

We can think of this as a right triangle, where the hypotenuse measures 30 inches, and the angles of the triangle are 30°, 60° and 90°.

If we step on the 30° angle, the length will be the opposite cathetus, then we can use the trigonometric relation:

sin(θ) = (opposite cathetus)/(hypotenuse).

Replacing what we know:

sin(30°) = length/30 in

length = sin(30°)*30in = (1/2)*30 in = 15in

And the adjacent cathetus will be the width, then we can use:

cos(θ) = (adjacent cathetus)/(hypotenuse).

Replacing what we know:

cos(30°) = width/(30 in)

width = cos(30°)*30in = (√3/2)*30in = (√3)*15in

Then the dimensions of the TV are 15 inches by  (√3)*15 inches, so the correct option is D.

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There can be multiple outputs (monthly charges) for a given input (number of credit cards), violating the definition of a function. hence, Situation 3 does not represent a function.

Situation 3: the total amount of money charged monthly on credit cards to the number of credit cards owned does not represent a function.

In a function, each input (or x-value) should have a unique output (or y-value). However, in this situation, the total amount of money charged monthly on credit cards depends on the number of credit cards owned. It is possible to have different credit card numbers but still have the same total amount of money charged monthly.

For example, two people could own different numbers of credit cards but have the same monthly charges.

As a result, the definition of a function can be violated by having many outputs (monthly charges) for a single input (number of credit cards).

Because of this, case 3 does not represent a function.

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Looking at these angles, we can see that they are alternate interior angles. Alternate interior angles are congruent. This means that to solve we will simply need to set the given expressions equal to each other and solve for x.

4x - 23 = 3x + 18

x - 23 = 18

x = 41

Answer: x = 41

Hope this helps!

Given the equation:

we can find its slope if we write it in the y=mx+b form:

Now, we know as a general rule, that the slope of the perpendicular of the line that has slope m, is -1/m, more clearly:

So, in this case we have:

now we use the slope-point formula to find the equation of the perpendicular line:

therefore, the line perpendicular to y+5x=7 that passes through (10,-4) is y=1/5x-6

Note that in order to map A onto B, Kyle would have to dilate the given figure by a scale factor or 3.

A dilation is a function f from a metric space M into itself that fulfills the identity d=rd for all locations x, y in M, where d is the distance between x and y and r is some positive real integer. Such a dilatation is a resemblance of space in Euclidean space.

The original point of figure A which has 4 points are


(0,02)
(-1, 2)
(0, 1)
(1, 2)

Multiply all th e points by 3, and you get,

(0,02) x 3 = (0, -6) =
(-1, 2) x 3 = (-3, 6)
(0, 1) x 3 = (0, 3)
(1, 2) x3 = (3, 6)

Plotting the new values will give us the transformation (dilation) required. See the attached image.

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Answer: 12 inches

Step-by-step explanation: 1:10

10:100

12:120

Yeah So each inches is 10 miles so if you use 12 inches then you get 120 miles in the Map that’s my explanation, so try to rewrite your question cause it’s kinda messed up

Answer

Construction Model Stats

User

Consider the time taken to completion time (in months) for the construction of a particular model of homes: 4.1 3.2 2.8 2.6 3.7 3.1 9.4 2.5 3.5 3.8 Find the mean, median mode, first quartile and third quartile. Find the outlier?

ChatGPT

To find the mean, we add up all the values and divide by the number of values:

Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10

Mean = 36.7 / 10

Mean = 3.67

To find the median, we need to put the values in order:

2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4

The middle number is the median, which is 3.35 in this case.

To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.

To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:

2.5, 2.6, 2.8, 3.1, 3.2

The median of this lower half is 2.8, so Q1 = 2.8.

To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:

3.7, 3.8, 4.1, 9.4

The median of this upper half is 3.95, so Q3 = 3.95.

To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

IQR = 3.95 - 2.8

IQR = 1.15

1.5 times the IQR is 1.5 * 1.15 = 1.725.

The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.

User

The angle of elevation to the top of a building is found to be 18 degrees from the ground at a distance of 510 feet from the base of the building. Using this information, find the height of the building to the nearest whole number.

ChatGPT

We can use trigonometry to solve this problem. Let h be the height of the building, and let d be the distance from the base of the building to the point where the angle of elevation is measured. Then we have:

tan(18 degrees) = h / d

Solving for h, we get:

h = d * tan(18 degrees)

Substituting d = 510 feet and using a calculator to evaluate the tangent of 18 degrees, we get:

h = 510 feet * tan(18 degrees)

h ≈ 157.3 feet

Rounding this to the nearest whole number, we get that the height of the building is approximately 157 feet.

User

The following regular polygon has 15 sides. This distance from its center to any given vertex is 12 inches.

Which of the following is the best approximation for its perimeter?

(1) 68 inches

(3) 84 inches

(2) 75 inches

(4) 180 inches

ChatGPT

To find the perimeter of a regular polygon with n sides, we can use the formula:

Perimeter = n * s

where s is the length of each side. To find s, we can use trigonometry to find the length of one of the sides and then multiply by the number of sides.

In a regular polygon with n sides, the interior angle at each vertex is given by:

Interior angle = (n - 2) * 180 degrees / n

In a 15-sided polygon, the interior angle at each vertex is:

(15 - 2) * 180 degrees / 15 = 156 degrees

If we draw a line from the center of the polygon to a vertex, we form a right triangle with the side of the polygon as the hypotenuse, the distance from the center to the vertex as one leg, and half of the side length as the other leg. Using trigonometry, we can find the length of half of the side:

sin(78 degrees) = 12 / (1/2 * s)

s = 2 * 12 / sin(78 degrees)

s ≈ 2.17 inches

Finally, we can find the perimeter of the polygon:

Perimeter = 15 * s

Perimeter ≈ 32.55 inches

Rounding this to the nearest whole number, we get that the best approximation for the perimeter is 33 inches. Therefore, the closest option is (1) 68 inches.

Answer:

To find the percentage of Virginia's gross pay that she took home after deductions, we need to first calculate her gross pay and then subtract the total amount of deductions to find her net pay. Then, we can divide her net pay by her gross pay and multiply by 100 to find the percentage.

Virginia earns $69,500 per year, so her gross pay per paycheck (assuming she is paid every two weeks) is:

$69,500 / 26 = $2,673.08

Her total deductions from her most recent paycheck were:

$200.20 + $180.65 + $72.00 + $110.00 + $250.00 = $812.85

So her net pay was:

$2,673.08 - $812.85 = $1,860.23

To find the percentage of her gross pay that she took home, we can divide her net pay by her gross pay and multiply by 100:

($1,860.23 / $2,673.08) x 100 ≈ 69.59%

Therefore, the closest option is (3) 69.59%.

Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.

Define measurement?

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The place value of the digit "6" in the given number 760,000 is Ten thousand's i.e., sixty thousand.

The numerical value of the digit in the given number is based on its position in the number.

The place values are:

Hundred thousands(Hth) - 100,000

Ten thousands(Tth) - 10,000

Thousands(Th) - 1,000

Hundreds(H) - 100

Tens(T) - 10

Ones(O) - 1

The given number is 760,000

The place values for the given number are tabulated as follows:

Hth  Tth  Th  H  T  O

7       6     0    0  0  0

So, from the above arrangement, the digit '6' is in the ten thousand's place. So, its place value is "ten thousand" i.e., "sixty thousand".

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Answer:

Step-by-step explanation:

The 107.69 Euros will Roscoe have for trip to Germany.

It is required to find how many Euros will Roscoe have for trip to Germany.

What is arithmetic?

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Roscoe is exchanging $ 121 for Euros.

If $2 can be exchanged for 1.78 Euros.

$2=€1.78

then $1= €0.89

For  $ 121=

=0.89*121

= €107.69

Therefore, the 107.69 Euros will Roscoe have for trip to Germany.

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer:

12!

Step-by-step explanation:

А=12*11*10*9*8*7*6*5*4*3*2*1=12!=479001600

Answer:

y = -6x + 8

Step-by-step explanation:

\begin{bmatrix}6x+y=8\\ y=-6x+8\end{bmatrix}

I don't know why it came out like this

Answer:

\(x=\frac{27}{6}\)

Step-by-step explanation:

So I'm going to assume you mean to write: \(\frac{1}{3}(6x+9)=12\)

In this equation here we want to cancel out the "1/3", and this can be done by multiplying both sides by "3", since we can multiply the 1/3 by 3 on the left side and that just gives us 3/3 or 1, which doesn't change the value

We have to do this on both sides to remain equality and this gives us the equation

\(6x+9=36\)

Now from here just subtract 9 from both sides to cancel out the +9

\(6x=27\\x=\frac{27}{6}\)

Answer:

Ahh I did this about a year ago but try math-way (without -) it gives the correct answers sorry I couldn't help more.

Answer:

a number, r, added to 6

Step-by-step explanation:

a number, r, added to 6

Answer:

a number, r, added to 6

Step-by-step explanation:

a number, r, added to 6

Answer:

y = -1x+2

Step-by-step explanation:

(1,1)(7,-5)

y2-y1/x2-x1 = slope

-5-1/7-1 = -6/6= -1

y-y1 = slope(x-x1) // equation formula

y-1=-1(x-1)

y = -1x + 1 +1

y = -1x+2

The pattern fοr the given rule is 5, 6, 7, 8, 9 and sο οn.

What is a pattern?

A pattern is a regular arrangement οf symbοls, such as numbers, geοmetric fοrms, οr cοlοurs. Sοmetimes the term "series" is used tο describe patterns.

We are given a rule as a + 4, where a = 1, 2, 3, 4, 5, ...On substituting the value οf a in the rule, we get

When a = 1, then a + 4 = 5

When a = 2, then a + 4 = 6

When a = 3, then a + 4 = 7

When a = 4, then a + 4 = 8

When a = 5, then a + 4 = 9

and the pattern cοntinues.

Hence, the pattern fοr the given rule is 5, 6, 7, 8, 9 and sο οn.

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Complete question:

This is the only question:

Create a pattern for the rule a + 4.

Answer:

3/6.

Step-by-step explanation:

3/6 is 0.5, not 5.

Answer:4/4

Step-by-step explanation:

Answer:

  B, C, E

Step-by-step explanation:

Translation is a rigid transformation. As such, it preserves sizes and angles. "Isometric" is another way to say "the size is preserved."

Answer:

5400 seconds

Step-by-step explanation:

Answer:  5400

Step-by-step explanation:   Each hour is 60 minutes and each minute is 60 seconds. 60 x 60 = 3600. To convert 30 minutes into seconds you multiply 30 x 60 which equals 1800. Then you add 3600 + 1800 and you get 5400.

To make a profit Kelsey must make and sell more than 49  additional pendants

in this given sum we need to find how many additional pendents kelsey need to make and sell to make profit .  The information that are give in the sum

she has to pay $200 for the rent

materials for each pendant is $ 7.8 .

for 10 pendants  the total will be 10*7.8 = $78

Therefore she will spend a total of $(78 +200) = $278

So to make a profit the amount of pendants kelsey make multiply it by 13.50 should be greater than the totall amount she spend in making 10 pendants $278 added to the number  of pendants she makes multiply by 7.8 that is the total cost

let the no. of pendants she need to make be x

we can write then above explanation as

13.50x >278 + 7.8x

=> 13.5x - 7.8x > 278 +7.8x - 7.8x      [subtracting 7.8x on both side]

=> 5.7x > 278

=> x > 278/5.7 = 48.77 = 49 (approx.)

Kelsey needs to make more than 49 pendants rto make a profit.

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The sum can be rewritten like this:

                        ∑k=0n−1∑l=0kalbk−l.

If  a=b=1

 then the sum is that of the first  n

 integers,  n(n+1)2

.Assume now that  (a,b)≠(1,1)

. If  b=1

 then the somme becomes geometric so,

∑k=0n−1∑l=0kal=∑k=0n−11−ak+11−a=11−a(n−a1−an1−a).Likewise if  a=1

. Assume now that  a,b≠1

.If  a=b

 then the sum becomes

∑k=0n−1(k+1)ak.

Multiplying it by  1−a

 gives

(1−a)∑k=0n−1(k+1)ak=∑k=0n−1(k+1)ak−∑k=0n−1(k+1)ak+1=∑k=0n−1(k+1)ak−∑k  =1nkak=∑k=0n−1ak−nan=1−an1−a−nan.

So, ∑k=0n−1(k+1)ak=11−a(1−an1−a−nan).

Assume now that  a≠b

.Note that for all  k∈{0,...,n−1} , so

(a−b)∑l=0kalbk−l=∑l=0kal+1bk−l−∑l=0kalbk−l+1=∑l=1k+1albk−l+1−∑l=0kalbk−l+1=ak+1−bk+1.

So we have two geometric sums, hence

∑k=0n−1∑l=0kalbk−l=1a−b(∑k=0n−1ak+1−∑k=0n−1bk+1)

                                =1a−b(a1−an1−a−b1−bn1−b).

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Step-by-step explanation:

think it's right :)

Answer:

236,000

Step-by-step explanation:

When rounding to thousands, if the hundred is 500 or over, you round up. If it is less, round down.

Answer:

Hey! The answer is 236,000.... steps will be below!

Step-by-step explanation:

Since there is 5,674 it is more closer to 6,000 than 5,000

So we change the number to 236,000

ANSWER TO YOUR QUESTION: 236,000

Hope this helps! :)

⭐️Have a wonderful day!⭐️

Answer:

Step-by-step

Monthly payments on a $200,000 mortgage

At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.explanation:

hope this helped

Monthly payments on a $200,000 mortgage

At a 4% fixed interest rate, your monthly mortgage payment on a 30-year mortgage might total $954.83 a month, while a 15-year might cost $1,479.38 a month.

The amount of money which is paid back to the lender at the end of the 15 years is $353,750.

Interest in simple terms is the extra amount that you have to pay if you borrow money or the extra money you get if you lend the money.

Given that,

Principal amount of the mortgage = $200,000

Rate of interest, r = 5.125% = 0.05125

Number of years, t = 15 years

Simple interest = Prt

                         = 200,000 × 0.05125 × 15

                         = 153,750

Total money paid back to lender = Principal amount + Interest amount

                                                       = $200,000 + $153,750

                                                       = $353,750

Hence the money paid back is $353,750.

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