The lengths of angles given represent the sides or angles of a triangle.

Which type of triangle best represents:

5 cm, 10 cm, 12 cm

a
unique triangle
b
many triangles
c
no triangle

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees

Answer: 13x+284/4

Step-by-step explanation:

Combine multiplied terms into a single fraction:

52x−7+34x+1452−7+34+14

Combine multiplied terms into a single fraction:

5x2−7+34x+1452−7+34+14

Add the numbers:

5x2−7+3x4+1452−7+34+14 And that’s your answer

0.137606 the standard error of the average amount of coffee a stat 107 student drinks per day is greater than 12.7 oz.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Statisticians can assess if the data fits into a normal distribution or another mathematical connection using the standard deviation. The average, or mean, data point will be within one standard deviation of 68% of the data points if the data follow a normal curve.

Given that,

Standard deviation (σ) = 5.2 oz

mean (μ) = 10 oz

Number of students (n) = 120

As we know,

P ( z > 12.7 oz.) = P (z > [{x(avg.) - μ\(\sqrt{n}\)}/σ])

                        = P (z > [{12.7 - 10\(\sqrt{120}\)}/5.2])

                        = P (z > 1.86)

                        = 1 - P ( z < 1.86)

                        = 1 - 0.862394

                        = 0.137606

Thus, P( z > 12.7 oz.) = 0.137606

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Answer:

The third one

Step-by-step explanation:

...................

Answer:

C. eighteen and seventy-three hundredths

Step-by-step explanation:

A hundredth in standard form is 0.01.

So, 0.73 is read as seventy-three hundredths.

18.73 is the same, except "eighteen and" is added before.

18 = eighteen

. = and

73 = seventy-three hundredths

18.73 is read as "eighteen and seventy-three hundredths."

Answer:

-14,494 feet

Step-by-step explanation:

The customer gets 5.66 hours of bike per dollar

At Hoffman's bike, it cost $17 to rent a bike for 3 hours

The number of hours gotten from the bike per dollar can be calculated as follows

17= 3
1= x

Cross multiply both sides

3x= 17

x= 17/3

x= 5.66

Hence it will cost the customer 5.66 hours to rent the bike for one dollar

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The set of side measurements that could be used to form a right triangle is

The problem is solved using the Pythagoras theorem is applicable to right triangle.  

the formula of the theorem is

hypotenuse² = opposite² + adjacent²

the set of sides that adheres to this theorem can form a right triangle

plugging the values as in the problem  6, 8, 10

say side 10 = x

x² = 6² + 8²

x² = 36 + 64

x² = 100

x = √100

x = 10

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The given quadrilaterals, 1 and 2,  are parallelograms because the pair of opposite sides are parallel and the other pairs are congruent.

3. According to Theorem 7.9, quadrilateral ABCD is a parallelogram.

4. According to Theorem 7.12, quadrilateral PQRS is a parallelogram.

3. Quadrilateral ABCD with vertices A(0,0), B(7,1), C(5,6), D(-2,5), and Theorem 7.9:

Theorem 7.9 states that if the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Using the distance formula, we can calculate the lengths of the sides of quadrilateral ABCD:

AB = √((7 - 0)² + (1 - 0)²) = √50

BC = √((5 - 7)² + (6 - 1)²) = √29

CD = √((-2 - 5)² + (5 - 6)²) =√50

DA = √((0 - (-2))² + (0 - 5)²) = √29

We can see that AB = CD and BC = DA, indicating that the opposite sides are congruent.

Quadrilateral PQRS with vertices P(-2,0), Q(3,1), R(4,4), S(-1,3), and Theorem 7.12:

Theorem 7.12 states that if both pairs of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram.

Using the slope formula, we can calculate the slopes of the sides of quadrilateral PQRS:

Slope of PQ = (1 - 0) / (3 - (-2)) = 1/5

Slope of RS = (4 - 3) / (4 - (-1)) = 1/5

Slope of QR = (4 - 1) / (4 - 3) = 3

Slope of SP = (3 - 0) / (-1 - (-2)) = 3

The lengths of opposite sides can be calculated using the distance formula:

PQ = √((3 - (-2))² + (1 - 0)²) = √(25 + 1) = √26

RS = √((4 - 4)² + (4 - 1)²) = √(9) = 3

QR = √((4 - 3)² + (4 - 1)²) = √(1 + 9) = √10

SP = √((-1 - (-2))² + (3 - 0)²) = √(1 + 9) = √10

We can see that PQ = RS and QR = SP, indicate that the opposite sides are parallel and congruent.

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answer:

C a triangle with one measures 90° and another angle measures 100°

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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The cost of goods sold is $10,258 million and the Cash paid to supplier is $10,447 million.

a. Cost of goods sold

Cost of Goods Sold=Beginning Inventories + Purchases – Ending Inventories

Cost of goods sold = $1,997 + $10,392 - $2,131

Cost of goods sold = $10,258

b. Cash paid to supplier

Cash paid=2015 Beginning balance  + Purchases - 2015 Ending balance

Cash paid = $1,181 + $10,392 - $1,126

Cash paid = $10,447

Therefore the cost of goods sold is $10,258 million and the Cash paid to supplier is $10,447 million.

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Answer:

2/13

Step-by-step explanation:

there are 4 5s and 4 2s so

8/52

simplified is 2/13

Step-by-step explanation:

The bisection method is a root-finding algorithm that repeatedly bisects an interval and then selects a subinterval in which a root must lie for further processing. To apply the bisection method to the equation x^3 - x - 9 = 0, you need to find two initial values a and b such that f(a) and f(b) have opposite signs. This means that there is at least one root of the equation in the interval [a, b].

Let’s take a = 2 and b = 3 as our initial interval. We can see that f(2) = 2^3 - 2 - 9 = -1 and f(3) = 3^3 - 3 - 9 = 18, so f(a) and f(b) have opposite signs.

Now we can apply the bisection method as follows:

Calculate the midpoint c = (a + b)/2 = (2 + 3)/2 = 2.5.

Evaluate f© = 2.5^3 - 2.5 - 9 ≈ 5.625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

Calculate the new midpoint c = (a + b)/2 = (2 + 2.5)/2 = 2.25.

Evaluate f© ≈ 1.765625.

Since f© > 0 and f(a) < 0, there must be a root in the interval [a, c]. So we set b = c and repeat the process.

We can continue this process until we reach the desired level of accuracy.

Answer:

A. Total=520 loaves

B. Estimate= 180 rolls

Step-by-step explanation:

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

3

Step-by-step explanation:

Every minute a 3 pointer was scored as 24/8 is 3

1. The value of 34% of 850 is 289.

3. The amount that Kepley paid for the tool is $120.

From the information, we want to calculate 34% of 850. This will be calculated thus:

= 34% ×850

= 34/100 × 850

= 0.34 × 850

= 289

The amount paid for the tool will be:

= Price or tool - Discount

= $200 - (40% × $200)

= $200 - $80

= $120

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Answer:

x = 125 ft and y = 250/3 ft

Step-by-step explanation:

Let assume that,

x be the length of the northern part of the fence (parallel to the north wall)

y be the length of the western and eastern pieces of the fence

As well as farmer has $4000 to spend hence we can write,

8x + 8y + 4y = 4000

8x + 12y = 4000

Hence we can say that,

from the above equation we can write

\(y=\frac{4000}{12} -\frac{2x}{3}\)

We know that area

A=xy.

\(A(x) =\frac{500x}{3}-\frac{2x^2}{3}\)

we can write

\(A'(x) = \frac{500}{3} -\frac{4x}{3}\)

equating it 0 we get

\(A'(x) = \frac{500}{3} -\frac{4x}{3}=0\)

\(x=125\)

Also,

\(A"(x) = -\frac{4}{3}\)

which is less than zero.

we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.

now, solving for y we get  \(y= \frac{250}{3}\)

Hence we can say that dimensions for the plot that would enclose the most area is,

x = 125 ft and y = 250/3 ft

The dimensions for the plot that would enclose the most area are: \(125 ft, \frac{500}{3} ft.\)

Let the length of the rectangular plot be x be the length of the northern part of the fence (parallel to the north wall)  and y be the length of the western and eastern pieces of the fence.

As well as farmer has $4000 to spend, Thus

8x + 8y + 4y = 4000

8x + 12y = 4000

\(x=\frac{4000-12y}{8}\)

And the area of the rectangular fence is:

\(A=xy\\A=\frac{4000-12y}{8}y\\ A(y)=500y-\frac{3}{2} y^{2}\\A'(y)=500-{3} y\\A'(y)=0\\500-{3} y=0\\y=\frac{500}{3}\)  

\(A"(y)=-3<0\)

we can see that A''(y) is always less than 0 .

Therefore area is maximum.

Now,

\(x=\frac{4000-12(\frac{500}{3} )}{8} \\x=250 ft\)  

So, the dimensions for the plot that would enclose the maximum area is: \(125 ft, \frac{500}{3} ft.\)

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Answer:

Step-by-step explanation:

Let's assume Rajesh scored x marks.

Then, Raj scored 2x marks.

Together, they scored (x + 2x) = 3x marks.

Since their score was 11 more than a century, 3x = 100 + 11 = 111.

So, x = 111 / 3 = 37.

Therefore, Rajesh scored 37 marks and Raj scored 2 * 37 = 74 marks.

Answer:

1,512 Inches

Step-by-step explanation:

Take 36x42 then  it makes 1,512

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

To find the total amount of dry ingredients used in the cake recipe, we need to add up the amounts of flour, sugar, and cocoa.

3 ½ cups of flour is equal to 3 cups plus 0.5 cups, or 3 cups and 8 ounces.

2 ⅔ cups of sugar is equal to 2 cups plus 0.67 cups, or 2 cups and 10.72 ounces.

1 ¾ cups of cocoa is equal to 1 cup plus 0.75 cups, or 1 cup and 12 ounces.

Adding these amounts together, we get:

3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

To the nearest cup, this is equal to 7 cups.

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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\(\text{Find the values of x:}\\\\x(x+3)(x+3)=0\\\\\text{We know for the x outside of the parenthesis, it has to equal 0}\\\\\text{For the x inside the parenthesis, we would need to equal it to 0 and }\\\text{solve for x}\\\\x+3=0\\\\x=-3\\\\\text{There are two of them, so we would have two of the same answer}\\\\\boxed{\text{x= 0 or x = -3 or x = -3}}\)

Answer:

24 females with unlisted phone numbers

Step-by-step explanation:

20% of the staff at this hospital have unlisted telephone numbers

40% of the staff at the hospital that have unlisted telephone numbers are females

This means that 40% of the 20% of the 300 names in the phone book will be females with unlisted phone numbers.

1/5 (20%) of 300 is 60, and 40% of these 60 people is 24.

There are 24 females in this 300 with unlisted phone numbers.

I'm not entirely sure if this is what you were asking, since you had some errors in your question.

Answer:

18/30 simplified is 3/5

Step-by-step explanation:

Answer: 11/24

Step-by-step explanation:

whenever u see this — (

it means the opposite of. so the opposite of -5/8 is +5/8.

-1/6 + 5/8 = 11/24