Use the given circle. Find the length s to the nearest tenth.See image.

56º,34º

1) A kite is a quadrilateral that according to the following theorem:

2) And examining that picture, we can tell that the angle labeled as 8x is congruent to its opposite counterpart.

3) In addition to this, but not less important that bigger diagonal bisects that the other pair of opposite angles. So we can sketch the following

So we can pick one triangle and write out the following according to the Triangle sum theorem:

4) Finally, let's plug into each one the quantity of x and get the measure of those angles:

Step-by-step explanation:

d=2r.

50=2r

r=50/2

r=25cm.

circumference of circle =2πr

=2×22/7×25

=157cm(approx)

area of circle=πr²

=22/7×(25)²

=704cm

Answer:

  x ≈ 8.9

Step-by-step explanation:

You want the value of x in the diagram showing two right triangles.

The Pythagorean theorem tells you the relationship between legs 'a' and 'b' and hypotenuse 'c' in a right triangle is ...

  a² +b² = c²

For the smaller triangle, this tells you the square of the length of its hypotenuse is ...

  c² = 2² +4² = 4 +16 = 20

That square can be used directly in the equation for the larger triangle:

  20 +x² = 10²

 x² = 100 -20 = 80

 x = √80 ≈ 8.9

The value of x is about 8.9 units.

6) twenty-one substracted from a number is -8

The equation for this statement is:

we substracted 21 from a number x.

Solving the equation:

add 21 to both sides of the equation:

The number is 13

7) A number increased by 91 is 37.

The equation for this statement:

To solve this equation, we substract 91 from both sides of the equation:

The number is -54

The required value of x that makes the equation 2(x - 5) = 12 true when x is chosen from the set {10, 11, 12, 13} is x = 11.

To make the equation 2(x - 5) = 12 true, we need to solve for x. We can start by simplifying the equation using the distributive property:

2(x - 5) = 12

2x - 10 = 12

Next, we can isolate the variable x by adding 10 to both sides:

2x - 10 + 10 = 12 + 10

2x = 22

Finally, we can solve for x by dividing both sides by 2:

2x/2 = 22/2

x = 11

Therefore, the value of x that makes the equation 2(x - 5) = 12 true when x is chosen from the set {10, 11, 12, 13} is x = 11.

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Answer: c) 0.531441 = 0.53

e) 3.375 = 3.38 or 3.4

f)0.0289 =0.03

Step-by-step explanation: everyone will say that they will mark as brainliest but nobody does, you guys lie, but I still give the answers

Answer:

\(\displaystyle \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)\)

Step-by-step explanation:

We have the sum:

\(\displaystyle \left[\left(\frac{2}{n}\right)}^3-\frac{2}{n}\right]\left(\frac{2}{n}\right)+...+\left[ \left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\left(\frac{2}{n}\right)\)

And we want to find the sigma notation that represents the sum.

Note that the leftmost term is the first term while the rightmost term is the last term.

n is the number of terms. Therefore, (2 / n) will stay constant. Hence, we can factor it out of the series:

\(\displaystyle =\frac{2}{n}\left(\left[\left(\frac{2}{n}\right)^3-\frac{2}{n}\right]+...+\left[\left(\frac{2n}{n}\right)^3-\frac{2n}{n}\right]\right)\)

Notice the differences between the first term and the last term. The first term is given by \(\displaystyle \left(\frac{2}{n}\right)^3- \frac{2}{n}\). The last term is given by  \(\displaystyle \left(\frac{2n}{n}\right)^3- \frac{2n}{n}\). Because at the last term, our initial term i is equal to n, we can replace the extra n with i for our summation.

Therefore, we can write the following summation:

\(=\displaystyle \sum_{i=1}^{n} \frac{2}{n}\left(\left[\left(\frac{2i}{n}\right)^3-\frac{2i}{n}\right]\right)\)

And since (2 / n) is constant:

\(\displaystyle = \frac{2}{n} \sum_{i = 1}^{n} \left(\left(\frac{2i}{n}\right)^3 - \frac{2i}{n}\right)\)

Answer:

B)  slope of the line   \(\frac{-5}{8}\)  ;Y- intercept is none

slope of the line   \(m = \frac{-5}{8}\)

Y- intercept is none

Step-by-step explanation:

Explanation:-

Given equation of the line   \(y = \frac{-5}{8} x\)

The equation of the straight line in slope - intercept form

                        y = m x + c

                        \(y = \frac{-5}{8} x+0\)

slope of the line   \(m = \frac{-5}{8}\)

Y- intercept is none

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

3a. An equation in slope-point for this line is y + 2 = 1/2(x - 0).

3b. The equation in slope-intercept form is y = 1/2(x) - 2.

4a. An equation in slope-point form to represent this function is y - 3875 = -1/695(x - 19375).

4b. The cost of operating a car that has been driven 31250 km is $3892.086.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

Part 3.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 + 2)/(4 - 0)

Slope (m) = 1/2

At data point (0, -2) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = 1/2(x - 0)

y = 1/2(x) - 2

Part 4a.

Based on the information provided about Jay's business, we would determine the slope of the line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (3900 - 3875)/(2000 - 19375)

Slope (m) = 25/-17375

Slope (m) = -1/695

At data point (19375, 3875) and a slope of -1/695, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 3875 = -1/695(x - 19375)

Part 4b.

For the cost when x = 31250 km, we have:

y - 3875 = -1/695(31250 - 19375)

y = 17.086 + 3875

y = $3892.086.

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The solution of the logarithm expression  logₐ 60 is 2.1. Therefore, the answer is D.

The logarithm expression can be solved as follows; Using the logarithm rule,

Law of multiplication of logarithm,

logₐ x + logₐ y = logₐ xy

Therefore,

logₐ 2 = 4

logₐ 3 = 5

logₐ 5 = 8

Hence, let's find logₐ 60.

logₐ 5 + logₐ 3 + logₐ 2 + logₐ 2 = logₐ (5 × 3 × 2 × 2) = logₐ 60

Hence,

0.8 + 0.5 + 0.4 + 0.4 = 2.1

Therefore,

logₐ 60 = 2.1

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The value of log a 60 is 21. The correct option is D.

Logarithms are another way of writing exponents.

Logarithm is nothing but another way of expressing exponents and can be used to solve problems that cannot be solved using the concept of exponents only.

log a 60 = log a (12 x 5)

log a 60 = log a 12 x log a 5

log a 60 = log a (4 x 3) x log a 5

log a 60 = log a 4 x log a 3 x log a 5

log a 60 = 2 log a 2 x log a 3 x log a 5

Substituting the values for the logs

log a 60 = 2 (4) + 5 + 8

log a 60 = 21

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The area of the rectangle with given length and width is 137.6 cm²   .

In the question ,

it is given that ,

the length of the rectangle = 64/5 cm    and

the width of the rectangle = 43/4 cm

we know that the formula for the Area of rectangle is

Area = length × width

Substituting the value of length as 64/5 and width as 43/4 .

we get ,

Area = 64/5 × 43/4

= (64 × 43)/(5 × 4)

Simplifying further ,

we get ,

= 2752/20

= 137.6 cm²

Therefore  , The area of the rectangle with given length and width is 137.6 cm²   .

The given question is incomplete , the complete question is

What is the area of the the rectangle with length 64/5 cm and width 43/4 cm ?

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Answer:

March through August

Step-by-step explanation:

Ok, in order to solve this problem, we must start by building an equation to solve. The original equation was:

\(S=56.9-40.7cos (\frac{\pi}{6}t)\)

and we need to figure out the months when the sales exceed 7700 units. Since the equation is given in hundreds of units, we need to divide those 7700 units into one hundred to get 77 hundred units. So we can go ahead and substitute that value in the equation:

\(77=56.9-40.7cos (\frac{\pi}{6}t)\)

if you wish you can rewrite the equation so the variable is on the left side of it but it's up to you. So you get:

\(56.9-40.7cos (\frac{\pi}{6}t)=77\)

and now we solve for t

\(-40.7cos (\frac{\pi}{6}t)=77-56.9\)

\(-40.7cos (\frac{\pi}{6}t)=20.1\)

\(cos (\frac{\pi}{6}t)=\frac{20.1}{-40.7}\)

\(cos (\frac{\pi}{6}t)=-0.4938\)

\(\frac{\pi}{6}t=cos^{-1}(-0.4938)\)

\(\frac{\pi}{6}t=2.087\)

\(t=\frac{2.087(6)}{\pi}\)

\(t=3.98 months\)

but there is a second answer to this problem. Notice that the function cos can be 2.87 at \(2\pi-2.087=4.1962 rad\) as well, so we repeat the process:

\(\frac{\pi}{6}t=4.1962\)

\(t=\frac{4.1962(6)}{\pi}\)

\(t=8.014 months\)

So now we need to determine on which period of times the number of items sold exceed 77 hundred units so we build different intervals for us to test:

(1,3.98)  (3.98,8.014) and (8,014, 13)

and find a test value for each of the intervals and test it.

(1,3.98) t=2

\(S=56.9-40.7cos (\frac{\pi}{6}(2))\)

S=36.55

this is less than 77 so this is not our answer.

(3.98,8.014) t=5

\(S=56.9-40.7cos (\frac{\pi}{6}(5))\)

S=92.15

this is more than 77 so this is our answer.

(8.014,13) t=10

\(S=56.9-40.7cos (\frac{\pi}{6}(10))\)

S=36.55

this is less than 77 so this is not our answer.

so, since our answer is the interval (3.98,8.014)

this means that between the months of march and august we will be sellin more than 7700 units.

Answer:

your answer will be option 2

None of the choices are correct.

Step-by-step explanation:

have a nice day and good luck!!!

Answer

Step-by-step explanation:

so, this triangle is an "impossible' triangle, b/c  even when the 5 and 4 sides are laid out, in opposite directions, they only make a distance of 9. so the side of 12 is not ever going to work in this triangle, it's just too long.  so the answer is none of the choices are correct.  To be fair, this question is incorrect.  The picture that is drawn, makes it look like the triangle could be real. when it's not.  like an Escher drawing. if  you don't know Escher drawings look  them up                                                                                        

The amount of water poured out by Newton from the filled 2 liter breaker is 975 milliliters of water.

One liter is equal to 1,000 milliliters.

Therefore, a 2-liter beaker has 2,000 milliliters of water when it is full.

After pouring out some water, the beaker now has 1,025 milliliters of water left.

To find how many milliliters of water Newton poured out, we need to subtract 1,025 from 2,000:

So, we have

Amount = 2,000 - 1,025

Amount = 975

Therefore, Newton poured out 975 milliliters of water.

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The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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Answer:

The selling price of the shoe is $18

Step-by-step explanation:

Hey there!

According to the question, the normal cost price of pair of shoes is $24 (i.e $24 is MP= marked price).

Also, there is 25% off. (i.e discount)

Now,

SP (selling price) = MP - discount% of MP

or, SP = 24 - 25% of 24

or, SP= 24 - 6

Therefore, the SP of the shoes is $18.

Hope it helps!

$18

The answer is $18

John should receive about 7200 milligrams of the drug.The unit conversion given is,1 lb =0.45 kg.

The weight of matter is found as the product of the mass and the gravitational acceleration.

Unit conversion;

1 lb =0.45 kg.

Dosage of a drug =  200 mg / kilogram

John weighs  = 80 lb

1 lb =0.45 kg.

80 lb = 36 kg

According to the weight the drug should he receive is;

Dosage of a drug =  200 mg / kilogram  × 36

Dosage of a drug = 7200 milli gram

Hence, John should receive about 7200 milligrams of the drug.

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The graph that represents the given piecewise function has a range of

R: (-∞, 0) ∪ (0,2] ∪ (4, ∞).

A piecewise function is a combination of subfunctions that are defined with different intervals in the domain.

The range of the piecewise function is the union of all the ranges of the subfunctions.

The given piecewise function is

g(x) = x², x < 0

      = 1/2 x, 0 < x ≤ 4

      = x, x > 4

The domain and range for the subfunctions in the given piecewise function are:

for g(x) = x²; Domain is {x < 0} and Range is (-∞, 0)

for g(x) = 1/2 x; Domain is {0 < x ≤ 4} and Range is (0, 2]

for g(x) = x; Domain is {x > 4} and Range is (4, ∞)

Then, the range of the given piecewise function is

Range: (-∞, 0) ∪ (0, 2] ∪ (4, ∞)

Thus, the graph shown in the question is the correct one.

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Answer: c, its da 3rd graph

Step-by-step explanation:

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

For the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

We are given a function:

g (x) = √ 2 x - 7

Now, we need to find what all does not lie in the domain of this function.

For this, we first need to find the domain of the function.

We know that, a square root cannot be negative.

So, we get that:

2 x - 7 ≥ 0

Add 7 to both the sides:

2 x - 7 + 7 ≥ 0 + 7

2 x ≥ 7

Divide both sides by 2:

2 x / 2 ≥ 7 / 2

x ≥ 3.5

Domain = x ≥ 3.5 = [3.5, ∞)

Elements not included in the domain = R - [3.5, ∞) = ( - ∞, 3.5)

Therefore, we get that, for the function g (x) = √ 2 x - 7, the elements that are not included in the domain are ( - ∞, 3.5).

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Answer:

A

Step-by-step explanation:

Since Roberto bought 3 gifts, which are each $25.90, that would mean it would be 3×25.90. Plus, he bought himself a treat would would be a +4.

Answer:

6

Step-by-step explanation:

(42÷ 7) gallons per (7 ÷ 7) minutes     <----- divide both sides

6 gallons per 1 minute

Answer: $214

Step-by-step explanation:

First find how much you would have to pay if you payed $92 for 12 months. It would be 1104 (12 times 92)

Then you have to substract how much it would cot to pay by cash rather than paying $92 for 12 months. ( 1104-890 = 214)

Your answer is $214. You would save $214 if you pay by cash.

I hope this helps! May God bless you! :)

Answer:

2(17)+8

Step-by-step explanation:

answer: 2(17+8)

explanation: 17+8=  25

25 times 2= 50

34+16=50

:)

Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

a = 2000 and b = 0.5

9514 1404 393

Answer:

  16.8 inches

Step-by-step explanation:

The length is 7/5 = 1.4 times the width. The length of the enlargement will be ...

  (12 in)×1.4 = 16.8 in

The large photo will be 16.8 inches long.

Answer:

-x - 24

Step-by-step explanation:

first term expansion

(5x-4) ^ 4

(5x -4) (5x-4) (5x-4) (5x-4)

25x - 20 - 20x + 16 + 25x -20-20x + 16

Second term expansion.

25x -20x - 20x + 25x -20 -20 + 16

third term expansion

-25x + 25x -20-20  +16

-x - 24..

Answer:

52.7 ÷ 100 = 0.527

Step-by-step explanation:

52.7/100=0.527

you just divide the percentage by 100 to get the decimal