are of a trapuiezuim​

Answer:

Divide by 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fractions can get messy.

I like to clear fractions, so I would multiply both sides by 4

n - 16 = -48    multiple by 4

n = -48 + 16   add 16 to both sides

n = -32           collecting terms

Step-by-step explanation:

b that's the answer now since I need 20 characters long I'm gonna go bye

The answer is A

sin0 = p/h = 7/25

cos0 = b/h = -24/25

Therefore , p = 7 , b = -24

tan0 = p/b = 7 / -24 = -7/24

Answer:

Step-by-step explanation:

Distance from earth to moon =238,857 :

x-92350373 = 92589230

x= 238857

Distance from sun to moon. = 92,350,373 miles

Distance from earth to moon=184,939,603 miles

Distance from sun to moon. = 277,528,833 miles

Distance from earth to moon=238,857 miles

Distance from sun to moon. =92,828,087 miles

Answer:

1 AU is the grade point answer

When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

Answer:

\( x = \frac{\sqrt{6}}{2} \)

Step-by-step explanation:

Reference angle = 45°

Opposite side = x

Hypotenuse = √3

Use the following trigonometric ratios formula to find x:

\( sin(\theta) = \frac{opp}{hyp} \)

Plug in the values

\( sin(45) = \frac{x}{\sqrt{3}} \)

Multiply both sides by √3

\( \sqrt{3}*sin(45) = x \)

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

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

\( \frac{\sqrt{6}}{2} = x \)

Answer:

I am not sure but According to my calculation it is 2m

After 18 years, the investment compounded periodically (quarterly) will be worth $1,230.23 more than the investment compounded annually.

Compounded interest refers to the interest system that charges interest on both principal and accumulated interest.

The period of compounding in a year determines the worth of the future value.

The future value can be ascertained using an online finance calculator as follows:

Interest periods: = 4 times yearly (Quarterly)

Principal = $5,000

Annual interest rate = 9%

Number of years: 18

N (# of periods) = 72 quarters (18 years x 4)

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $24,815.83

Total Interest = $19,815.83

Interest periods: = Annually

N (# of periods) = 18 years

I/Y (Interest per year) = 9%

PV (Present Value) = $5,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $23,585.60

Total Interest = $18,585.60

Difference in Future Values $1,230.23 ($24,815.83 - $23,585.60)

Thus, an investment compounded periodically earns more than an investment compounded annually.

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Answer:

43

Step-by-step explanation:

Green:  9 - 2(-3) = 9 + 6 = 15

Red:  -2(-3) + 4 = 6 + 4 = 10

Dark blue:  7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue:  6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

the graph has the largest slope. the slope is 5/2

Step-by-step explanation:

the slope of y=2x+4 is 2.

to get the slope of the table, see how much x increases and how much y increases. in this case, as x increases by 1, y also increases by 1, so the slope is 1.

to get the slope of the graph, find two or three points with whole numbers as both the x and y values. we can use (0, 2) and (2, 7). we can either make another table to see how the x and y values increase or look at the line and see how the line rises and runs. in this case, as x increases by 2, y increases by 5. the y value shows rise and the x value shows run, so we can write the slope as 5/2. we can see how the line rises by 5 and goes 2 units to the right. this gets the same slope as before.

1<2<5/2, so the graph has the largest slope.

Where are the options?

Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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Answer:

g. -18, h. 13, I. -14

Step-by-step explanation:

g. b-10=-8-10=-18

h. a-b=5-(-8)=5+8=13

I. c-a=-9-5=-14

Answer:

3/4

Step-by-step explanation:

Ok, so I see that the x-intercept is (4,0), while the y-intercept is(-3,0)

Slope is rise/run

Between these two points, the line rose 3 and horizontally went 4 units to the right. Therefore, the slope is 3/4.

Feel free to tell me if I did anything wrong! :)

Also, if you're still confused, I could explain it another way.

The total velocity is 22.4 mm/yr

Velocity is a vector quantity that represents both the magnitude and direction of motion. In this case, we are interested in the eastward and northward components of velocity.

To find the rate of eastward motion, we can measure the distance that the plate moves in an eastward direction over a given time period, and then divide that distance by the time elapsed. Similarly, to find the rate of northward motion, we can measure the distance moved in a northward direction and divide by the time elapsed.

The total rate of motion is the magnitude of the velocity, which can be calculated using the Pythagorean theorem:

total velocity = √(east velocity² + north velocity²)

If a tectonic plate moves 20 mm to the east and 10 mm to the north over a period of one year, then the rate of eastward motion is 20 mm/yr and the rate of northward motion is 10 mm/yr. The total velocity would be:

total velocity = √(20² + 10²) = √500 = 22.4 mm/yr

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Complete Question:

If a tectonic plate moves 20 mm to the east and 10 mm to the north over a period of one year, then the rate of eastward motion is 20 mm/yr and the rate of northward motion is 10 mm/yr. Find the total velocity.

The common denominators of the fractions 1/4 and 5/7 is 28

From the question, we have the following fractions that can be used in our computation:

1/4 and 5/7

The denominator of the fractions 1/4 and 5/7 is the product of the prime factors of 4 and 7

So, we have the following representation

4 = 2 * 2

7 = 7

Using the above as a guide, we have the following:

Common denominator = 2 * 2 * 7

Evaluate the product

So, we have the following representation

Common denominator = 28

Hence, the fractions 1/4 and 5/7 have the common denominator of 28

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Answer:

3

Step-by-step explanation:

First we must find the total boxes of pens

15 + 9 = 24

Then we can divide the total cost by the total number of boxes of pens

$72 / 24 boxes = 3

Answer:

Slope is: y = 6x-4

Step-by-step explanation:

Divide both sides by 2 and you'll get the answer.

Answer:

6

Step-by-step explanation:

a slope equation. is y = mx + b

first you have to get y by itself by dividing both sides by 2

your new equation is

y= 6x + - 4 or just y = 6x - 4

the slope is the m value and in this case its 6

Given:-

To find:-

So now. we simplify,

So the required solution is,

Answer:

David

Step-by-step explanation:

He types faster

Inequalities help us to compare two unequal expressions. Society would be better off if David was employed as a typist.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

Given that Sally can type 100 words per minute while David can type 200 words per minute. Also, given that these numbers, society would be better off if one of the two was employed as a typist.

The number of words Sally types in a minute = 100 words

The number of words David types in a minute = 200 words

In a society, if the typist types more words in a short period of time then the work can be completed sooner and the society will be better off.

So we need the one who types more words in a minute.

Since 200 words per minute > 100 words per minute.

Therefore, David types more words in a minute.

Thus, society would be better off if David was employed as a typist.

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Answer:

Step-by-step explanation:

Put the ordered pairs into the slope formula x=y2-y1/x2-x1 then you will get your slope of the line. once you have your slope pick an ordered pair and put it in point slope y-y1=m(x-x1) distribute and you will get your answer.

formula of a linear equasion:

y=mx+b

m=slope of the formula

to find m:

\(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

plug in: \(\frac{4-2}{0-7} =\frac{2}{-7}\)

m= \(-\frac{2}{7}\)

y=\(-\frac{2}{7}\)x+b

b is the y intercept

plug in to find b:

\(2=7(-\frac{2}{7} )+b\\2=-2+b\\4=b\)

∴ \(y=-\frac{2}{7} x+4\)

Answer:

2

Step-by-step explanation:

1+1=2

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

D. 260

Step-by-step explanation:

Given that

Confidence interval = 99%

Not more than 8%

Based on the above information,

The size of the sample that should be considered is

= .25 ÷ (.08 ÷ 2.58)^2

After solving this,

The sample size is 260 and the same is to be considered

hence, the correct option is D. 260

therefore all the other options are wrong