Ewan makes chess boards from wood. Each board has three different kinds of wood. He has five kinds of wood it is workshop maple, cherry walnut, Poplar and birch how many different types of chess board can he make?

Answers

Answer 1

He can make 10 different types of boards.

This is a combination of 5 objects chosen 3 at a time:

[tex]_nC_r=\frac{n!}{r!(n-r)!} \\ \\_5C_3=\frac{5!}{3!2!}=\frac{120}{12}=10[/tex]

Answer 2

Answer:

D.10

Step-by-step explanation:

Related Questions

There are c players on the Cougars hockey team. The team scored a total of 36 goals this season. One of the players, Matthew, scored 2 more goals than the average per player.

Answers

[tex]36 \div 2 = 16 \\ 16 - 2 = 14[/tex]
so c=14

the standard addition algorithm below is being used to add three two-digit numbers 4z + 27 + x 5 equals y 14. If x, y, and z each represent a different digit from 0 to 9 what is the value of (x)(y)(z)?

Answers

For the units positions of all numbers we have:
[tex]z+7+5=4 \\ z+12=4[/tex]
From this we can conclude that total sum of these three numbers is 14. Number 1 we carry to next step. So we have:
[tex]z+12=14 \\ z=2[/tex]

For the tens positions of all numbers we have:
[tex]4+2+x+1=1 \\ 7+x=1[/tex]
The extra number 1 on left side comes from the carry from last step. Similar to ones position we know that total sum is 11.
[tex]7+x=11 \\ x=4[/tex]

Now we insert x and z to find out y:
[tex]42+27+45=y14 \\ 114=y14 \\ y=1[/tex]

Now we need to find out the product of these three numbers:
[tex]x*y*z=4*1*2=8[/tex]

Which represents the solution set of 5(x+5)<85?

A.) x<12
B.) x>12
C.) x<16
D.) x>16

Answers

Isolate the VARIABLE by dividing each side by FACTROS that don't contain the VARIABLE .
YOUR answer is x<12

The correct answer is: [A]: " x < 12 " .
__________________________________________________
Given:
__________________________________________________
" 5(x + 5) < 85 " ; Simplify/ solve for "x" ;
__________________________________________________
Method 1)
__________________________________________________

Note the "distributive property of multiplication" :
__________________________________________________
a(b + c) = ab + ac ;

a(b – c) = ab – ac .
__________________________________________________
So, take the "left-hand side" of the inequality; and expand:
__________________________________________________
→ 5(x + 5) = (5*x) + (5*5) = 5x + 25 ;

Now, rewrite the inequality:

  → 5x + 25 < 85 ;

Subtract "25" from each side of the inequality ;

  → 5x + 25 – 25 < 85 – 25 ;

to get:
_______________________________________
  → 5x < 60 ;

Divide each side of the inequality by "5" ;

  → 5x / 5 < 60 / 5 ;

  → x < 12 ; which is: Answer choice: [A]: " x < 12 " .
_______________________________________

Method 2)
_______________________________________
Given:
_______________________________________
" 5(x + 5) < 85 " ; Simplify/ solve for "x" ;
_______________________________________
Divide EACH SIDE of the equation by "5" ;

[5(x + 5) ] / 5 < 85 / 5 ;

to get:

  → x + 5 < 17 ;

Subtract "5" from EACH SIDE of the inequality:

→ x + 5 – 5 < 17 – 5 ;

to get:

→ x < 12 ; which is: Answer choice: [A]: " x < 12 " .
_________________________________________________

cody has $700 in a savings account that pays 4% simple interest how much will he have in one year

Answers

28$$$$$$$$$$$$$$$$$$$$

700(1.04)= $728 the 700 dollars is multiplied by 1.04 to get 728

a coin dealer buys
a coin for $850 and sells it for $1190. Find the percent of change.

Answers

(percent change) = ((new value)/(old value) -1)*100%
.. = (1190/850 -1)*100%
.. = 40%

The coin was sold for a price 40% higher than its purchase price.

A carton has a length of fraction 2 and 2 over 3 feet, width of fraction 1 and 1 over 8 feet, and height of fraction 1 and 1 over 5 feet. What is the volume of the carton?

Answers

Answer:

V = 3.6 ft³

Step-by-step explanation:

The formula of a volume of rectangular prism:

[tex]V=lwh[/tex]

l - length

w - width

h - height

We have

[tex]l=2\dfrac{2}{3}\ ft=\dfrac{(2)(3)+2}{3}\ ft=\dfrac{8}{3}\ dt\\\\w=1\dfrac{1}{8}\ ft=\dfrac{(1)(8)+1}{8}\ ft=\dfrac{9}{8}\ ft\\\\h=1\dfrac{1}{5}\ ft=\dfrac{(1)(5)+1}{5}\ ft=\dfrac{6}{5}\ ft[/tex]

Substitute:

[tex]V=\left(\dfrac{8}{3}\right)\left(\dfrac{9}{8}\right)\left(\dfrac{6}{5}\right)=\dfrac{432}{120}=3.6\ ft^3[/tex]

Answer:

3 3/5

Step-by-step explanation:

covert mixed fractions to improper fractions

2 2/3 becomes 8/3

1 1/8 becomes 9/8

1 1/5 become 6/5

then you multiply across will give you 432/120

since the numerator os greater than the demoninator, you have to divide 432

into 120 which then will give you 3 72/120. When you simplify the fraction the final answer is 3 3/5.

CAN I GET SOME HELP (RIGHT ANSWER)

Answers

it can be found using the formula 1/2 |major arc - minor arc|

1/2 |105 - 23|
1/2 |82|
41

105-23= 82
82/2= 41
An easier way :)

which least to greatest 125% 6/5 1.22

Answers

6/5, 1.22, 125%

Hope I helped!

Let me know if you need anything else!

~ Zoe (Rank:'Genius')

Final answer:

To compare the numbers 125%, 6/5, and 1.22, they were all converted to decimal form which revealed the least to greatest order as 1.22, 6/5, and 125%.

Explanation:

To arrange the numbers 125%, 6/5, and 1.22 from least to greatest, we first need to express all of them in the same format for an accurate comparison. Let's convert each number to a decimal:

125% as a decimal is 1.25 (since 100% is equal to 1, hence 125% is 1.25).6/5 as a decimal is 1.2 (6 divided by 5 equals 1.2).1.22 is already in decimal form.

Now, we can easily compare:

1.226/5 (1.2)125% (1.25)

The arrangement from least to greatest is 1.22, 6/5, 125%.

At the end of each year, how much money would you earn in interest if you invested $3,500 and earned 4.5% simple interest?

Answers

$157.50 would be the amount that you earn in interest

Why is 1/2 not useful as a benchmark to compare 5/8 and 9/10?

Answers

1/2 would not be a useful benchmark to compare these 2 fractions because both of them are greater than half. The benchmark fraction 1/2 is most useful when one fraction is less than half and the other more than 1/2. 5/8 is more than 4/8(1/2), and 9/10 is more than 5/10(1/2).

find the area of each triangle 10inches 9inches

Answers

14) area of triangle = 1/2bh

1/2 (9)(10)
1/2 (90)
45 in²

15)

1/2 (25)(7)
1/2(175)
87.5 m²

TOAD is a quadrilateral with vertices (9, 10), (18, 10), (14, 5), and (5, 5), respectively. The diagonals intersect at Point S.
Use the given information to:
a) classify the quadrilateral as a parallelogram, square, rectangle or rhombus
b) determine the intersection of the diagonals
c) use the distance formula to prove that the diagonals are bisectors of each other

Answers

A. parallelogram
B. I believe it'd be around (11.2,7.5)
C. √(10-5)^2+(9-4)^2 = 21, so yes they bisect

⇒Plotting the Quadrilateral on two Dimensional Plane

And finding the diagonal of Quadrilateral bisect each other.

If you will look at the Quadrilateral, none of the interior angle is of 90°, so it can't be Square or Rectangle.

Finding the length of two Adjacent Sides

[tex]TO=\sqrt{(18-9)^2+(10-10)^2}\\\\TO=9 \text{Unit}\\\\OA=\sqrt{(18-14)^2+(10-5)^2}\\\\OA=\sqrt{4^2+5^2}\\\\OA=\sqrt{41}[/tex]

As, the Length of Adjacent sides are not equal,so it can't be a Rhombus.

The Given Quadrilateral ,"TOAD" is a Parallelogram.

⇒The Point of Intersection of both Diagonal can be Obtained by

[tex]=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\text{Point P}=(\frac{14+9}{2},\frac{5+10}{2})\\\\\text{Point P}=(\frac{23}{2},\frac{15}{2})\\\\\text{Point P}=(\frac{18+5}{2},\frac{10+5}{2})\\\\\text{Point P}=(\frac{23}{2},\frac{15}{2})[/tex]

Intersection of both diagonals is same, diagonals bisect each other.

Point of Intersection of Diagonal is Point P

[tex]=(\frac{23}{2},\frac{15}{2})[/tex]

Part C

Distance formula

[tex]=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2)}\\\\TP=\sqrt{(\frac{23}{2}-9)^2+(\frac{15}{2}-10)^2}\\\\TP=\sqrt{\frac{25}{4}+\frac{25}{4}}\\\\TP=\frac{5}{\sqrt{2}}\\\\PA=\sqrt{(\frac{23}{2}-14)^2+(\frac{15}{2}-5)^2}\\\\PA=\sqrt{\frac{25}{4}+\frac{25}{4}}\\\\TP=\frac{5}{\sqrt{2}}\\\\PD=\sqrt{(\frac{23}{2}-5)^2+(\frac{15}{2}-5)^2}\\\\PD=\sqrt{\frac{169}{4}+\frac{25}{4}}\\\\PD=\frac{\sqrt{169+25}}{2}\\\\PD=\frac{\sqrt{194}}{2}\\\\PO=\sqrt{(\frac{23}{2}-18)^2+(\frac{15}{2}-10)^2}\\\\PO=\sqrt{\frac{169}{4}+\frac{25}{4}}\\\\PO=\frac{\sqrt{169+25}}{2}\\\\PO=\frac{\sqrt{194}}{2}[/tex]

→DP=PO

→PT=PA

Length of Segments from point of intersection of two diagonal is same.So, Diagonal are bisector of each other.

James believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request. He asked 500 students at his school the following questions: "Are you on the honor roll?" and "Did you get the math class you requested?" The results are shown in the table below:

Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500

Help James determine if all students at his school have an equal opportunity to get the math class they requested. Show your work and explain your process for determining the fairness of the class assignment process.

Answers

If the system is fair, one would expect that the same proportion of students received their requested math class, independent of whether they are on the honor roll or not. We have that from the 356 students on the honor roll, 315 received their requested class. This percentage is around 88.5%, hence 88,5% of honor students get the class they requested. Of the 144 students not on the honor roll, 64 get their requested class. The ratio is 64/144=44.4%. We see that the percentage is a lot smaller, almost half of the percentage for the honor students. Hence, we have that there is actually injustice since if you are an honor student you have almost double the chance to get your preferred class.

calculate the length of a scarf with sections if each section is 1/2 foot long

Answers

It’s six because, 1/2 is half. And a foot long is twelve inches. And half of twelve is six.

Three cards are drawn from a deck without replacement. what is the probability that all three cards are clubs?

Answers

b.0.0129 is the answer

For the data in the table, does y vary directly with x? If it does write an equation for the direct variation. x 2 6 10 y 5 15 25

Answers

The data does show direct variation (otherwise known as direct proportionality);
2 + 4 = 6 5 + 10 = 5
6 + 4 = 10 15 + 10 = 25
The proof is that everytime we increase x by a number (in this case 4), y also increases by some number (in this case 10);
So increasing x by 4, we increase y by 10;
The equation of data that shows direct proportionality is that of a line;
The gradient (represented by m) of the line is going to be how much y changes when we change x;
Using the information above, we can deduce the gradient (m) like so:
m = +10/+4
= 5/2
Now, we use the formula for the equation of the line:
y - y₁ = m(x - x₁)
y - 5 = 5/2(x - 2)
2(y - 5) = 5(x - 2)
2y - 10 = 5x - 10
2y = 5x
y = 5x/2

A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 14 inches,and the bicycle wheel mkes 3 full rotations before stopping. How long is the trace of water on the floor?

Answers

radius = 14 inches
one round of the tire = [tex]2 \pi r[/tex]
one round of the tire = [tex]2 \pi (14)[/tex]
one round of the tire = 87.96 inches
three rounds of the tire = 87.96 x 3 = 263.89 inches

A student's cell phone plan has a monthly charge of $40 for 600 minutes of use and a $0.25/minute charge for each additional minute. Last month, the student talked on the phone for 790 minutes. Which of the following is the bill for the month?

Answers

The bill for the month is $87.50, including $40 for 600 minutes and $47.50 for 190 extra minutes.

To calculate the bill for the month, we need to consider the fixed monthly charge and the additional charge for the extra minutes used beyond the 600-minute limit.

Step 1: Calculate the additional minutes used beyond the 600-minute limit:

Total minutes used - Included minutes = Extra minutes

790 minutes - 600 minutes = 190 extra minutes

Step 2: Calculate the additional charge for the extra minutes:

Extra minutes × Additional charge per minute

190 minutes × $0.25/minute = $47.50

Step 3: Add the fixed monthly charge to the additional charge for the extra minutes:

Fixed monthly charge + Additional charge for extra minutes

$40 + $47.50 = $87.50

So, the bill for the month is $87.50.

One kilometer equals 0.62 miles. How many kilometers equal 16 miles? Round the answer to the nearest tenth. 2.6 kilometers
9.9 kilometers
25.8 kilometers
99.2 kilometers

Answers

25.8 kilometers that is the answer to your question

Answer: 25.8 kilometers

Step-by-step explanation:

Given: One kilometer = 0.62 miles

Then, [tex]1\text{ mile}=\dfrac{1}{0.62}\text{ kilometers}[/tex]

Then to find the number of kilometers in 16 miles, we need to multiply 16 to [tex]\dfrac{1}{0.62}[/tex], we get

[tex]\text{ 16 miles =}16\times\dfrac{1}{0.62}=25.806451612\approx25.8\text{ kilometers}[/tex]

Hence, 25.8 kilometers equals to 16 miles.

99 POINTS I WILL MARK BRAINILIEST:

Given: ABCD rhombus, AC:BD = 4:3
Perimeter ABCD = 20 cm
Find: Area of ABCD

Answers

Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:length=20/4=5 cmthe ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:AC=4x and BD=3xusing Pythagorean theorem, the length of one side of the rhombus will be:c^2=a^2+b^2substituting our values we get:5²=(2x)²+(1.5x)²25=4x²+2.25x²25=6.25x²x²=4x=2hence the length of the diagonals will be:AC=4x=4×2=8 cmBD=3x=3×2=6 cmHence the area of the rhombus wll be:Area=1/2(AC×BD)=1/2×8×6=24 cm^2

plz give him brainliest

Three of the angles of a quadrilateral are 120° 48° and 92° what is the size of the fourth angle

Answers

360-120-48-92=100°

Each quadrilateral has 360° so simply deduct the angles to get your result.

Hi there! A quadrilateral has angles that add up to 360°. So we have the measurements of the first three angles. We will look for the 4th angle by solving. Let's add the totals of the first 3 angles. 120 + 48 + 92 is 260. Now, we subtract that number from 360. 360 - 260 is 100. There. The measurement of the fourth angle is 100°.

-1 + 5 * 6 is less than 29

Answers

As an inequality it would be: -1 + 5 * 6 < 29

What similarity statement can you write relating the three triangles in the diagram ?

Answers

answer is B.
triangle RST ~ triangle RUS ~ triangle SUT

The similarity statement that can be written is;

D(RST) ~ D(RUS) ~D(SUT)

Discussion:

The triangles as represented are right-angled triangles.

In essence, they all have one of their angles to be 90°.

The similarity statement therefore involves the right-angles and is thus; D(RST) ~ D(RUS) ~D(SUT)

Answers

(4 · 2^5) ÷ (2^3 · 1/16 )

= (2^2 · 2^5) ÷ (2^3 · 2^-4 )

= (2^7) ÷ (2^-1)

= 2^8

The value obtained as the power of 2 after solving the expression, (4×2⁵) ÷ (2³ × 1/16 ) will be 2⁸.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The given expression is,

(4×2⁵) ÷ (2³ × 1/16 )

Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.

= (2² × 2⁵) ÷ (2³ × 2⁻⁴ )

= (2⁷) ÷ (2⁻¹)

= 2⁸

Thus, the values obtained as the power of 2 after solving the expression, (4×2⁵) ÷ (2³ × 1/16 ) will be 2⁸.

Learn more about the integer exponent here:

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Last year Milwaukee had the total of snow amounting to 92 inches . The normal fall is 52 1/4 inches . How much above normal was the snowfall last year .

Answers

Final answer:

The snowfall in Milwaukee last year was 39.75 inches above the normal amount, calculated by subtracting the normal annual snowfall from last year's total.

Explanation:

The student's question is related to subtraction of two amounts to find the difference between the actual snowfall and the normal snowfall in Milwaukee.

To determine how much above normal last year's snowfall was, we subtract the normal snowfall amount from last year's total snowfall.

Last year's snowfall in Milwaukee = 92 inches
Normal annual snowfall = 52 1/4 inches

To find how much above normal the snowfall was, we calculate:

92 inches - 52 1/4 inches = 92 inches - 52.25 inches

This equals 39.75 inches above normal snowfall.

Jessica is making a repeating pattern following the rule “triangle square circle what will be the 50th shape in the pattern?

Answers

Final answer:

The 50th shape in the repeating sequence of shapes (triangle, square, circle) is a square. This conclusion is reached by dividing 50 by the 3 shapes in the sequence and noting that the remainder indicates the position in the sequence.

Explanation:

The problem presented is one of patterns and sequences, a common topic explored in middle school mathematics. The repeating pattern here consists of three shapes: a triangle, a square, and a circle. This sequence of three shapes continues indefinitely.

To find the 50th shape in the sequence, divide 50 by 3. You'll get 16 remainder 2. This indicates that after 16 complete cycles of the pattern (each consisting of a triangle, square, or circle), the 50th shape is the 2nd shape in the next cycle - the square. Hence the 50th shape according to Jessica's rule is a square.

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The 50th shape in the repeating pattern of Triangle, Square, Circle is a Square.

To find the 50th shape, we need to understand the cyclical nature of this pattern, which repeats every 3 shapes.

Step-by-Step Solution:

The pattern repeats every 3 shapes: Triangle (1), Square (2), Circle (3).To find the position of the 50th shape within this cycle, we calculate the remainder of 50 divided by 3:
50 ÷ 3 = 16 R2The remainder is 2, which means the 50th shape aligns with the 2nd shape in the pattern.

Therefore, the 50th shape is a Square.

What is the value of m in the equation 1/2m-3/4m=16, when n = 8

Answers

I assume that one of the two "m"s in the given is actually an n, to which I can substitute n = 8.

If this is (1/2)m -(3/4)n = 16:
Then (1/2)m - (3/4)(8) = 16
(1/2)m = 22
m = 44

But if this is (1/2)n -(3/4)m = 16:
Then (1/2)(8) - (3/4)m = 16
4 - (3/4)m = 16
(3/4)m = -12
m = -16

What is the sum of each pair of binary integers?
a. 10101111 + 11011011
b. 10010111 + 11111111
c. 01110101 + 10101100?

Answers

Add digit by digit, from the right, just like any number, except that if it adds to 2, then put a zero and carry one (instead of carrying when it adds to 10 or more).

Example: < means carry, decimal equivalent for checking
1011+1111

1 0 1 1 (8+2+1=11)
+ 1 1 1 1 (8+4+2+1=15)
---<---<----<----<----
1 1 0 1 0 (16+8+2=26)

Proceeding similarly,
a. 10101111+11011011 = 110001010 (394)
b. 10010111+11111111 = 110010110 (406)
c. 01110101+10101100 = 10010001 (289)

Final answer:

The sums for the given pairs of binary integers are: a. 10101111 + 11011011 equals 110001010, b. 10010111 + 11111111 equals 110010110, c. 01110101 + 10101100 equals 100100001.

Explanation:

The sum of each pair of binary integers is calculated using binary addition rules, which are similar to decimal addition, but instead, you only have two digits, 0 and 1, and carry over whenever you add two 1's. Let's perform the calculations for each given pair:

a. 10101111 + 11011011 = 110001010
b. 10010111 + 11111111 = 110010110

c. 01110101 + 10101100 = 100100001

Remember to start adding from the rightmost digit (least significant bit) and move left, carrying over as necessary when the sum of two bits is 2 (binary 10).

I need to collect data for this table please someone help

Answers

Total number of people living in an apartment = 18 + 36 = 54
18 people living in an apartment have a pet.

So percentage of people living in an apartment who have a pet = [tex] \frac{18}{54}*100=33 [/tex]%

Total number of people living in a house = 43 + 24 = 67
43 people living in a house have a pet.

So percentage of people living in a house who have a pet = [tex] \frac{43}{67}*100=64 [/tex]%

So answer in first blank is 33% and answer in second blank is 64%.

A pitcher contains 3 1/2 pints of lemonade. Susan pours 5/8 of a pint into a glass, and Mateo pours 1/2 pint into a glass. How much lemonade is left in the pitcher?

Answers

we have 3 1/2 pints of lemonade
3 1/2- 1/2 (Mateo)=3
3- 5/8= 2 8/8- 5/8=2 3/8 lemonade left

Other Questions

Widow's peak, a pointed hairline on the forehead, is a genetic trait caused by a dominant allele. it can be traced back through a family's history using pedigree analysis. the pedigree shown here is of three generations of a family. notice that some individuals (shown in gray) have a widow's peak (w = dominant allele and w = recessive allele). this pedigree supports the fact that widow's peak is due to a dominant allele, because if it were due to a recessive allele and both parents show the recessive phenotype, then ________. Can ratios have decimals in them or do all the numbers have to be integers? E.g. is 7.8:1.3:6.5 a valid ratio? Blake just graduated from high school and wants to get a job in the medical field. Which job could he get without completing any specific training? Many of the original English colonists were religious separatists from the Church of England (i.e., the Pilgrims in Plymouth and the Puritans in Massachusetts Bay Colony). Why were these groups eager to settle colonies in North America? A. They were seeking religious freedom and financial opportunities. B. The Puritan and Pilgrim religious doctrines call for isolationism. C. They were being punished by the king of England. D. Both the Puritans and the Pilgrims were slaves of the settlers. Sandra, 9, was always behind in class because she could only write very slowly, and even then her painstaking efforts would be virtually illegible and riddled with spelling mistakes. her teacher referred her to a psychologist who diagnosed her with a learning disability called: Mr. Chui was in Muji city for a _____confrence.wedding.honeymoon.medical procedure.Mr. Chui demands the police give him _____his medicine.some money.a decent meal.an apology.Fenjin came to Muji City at _____ request.Mr. Chui'sthe university'sChairman Mao'sMrs. Chui'sAs soon as Mr. Chui left the police station he _____bought some tea. took his medicine.called his wife.boarded the train. ANSWER IS BELOW:Which of the following best describes the circumstances that led to Brown v. Board of Education?Nineteen senators and seventy-seven representatives signed a document called the Southern Manifesto.Orval Faubus sent the Arkansas National Guard to block African American students from attending white schools.A state university would not allow an African American law student to attend an all-white law school.An 8-year-old girl had to walk through a dangerous area to attend an African American school each day.ANSWER IS D A heterozygous individual has a _____ for a trait being studied.a. haploid condition, in genetic termsb. pair of identical allelesc. pair of nonidentical alleles Jay took out a small-business loan for 210,000. The terms of the loan are 5% annual interest for four years. Jay will pay back $_____ by the end of the four years.Show your work. A. 420,000B.252,000C. 168,000D. 42,000 Just checking my answer!1. The referees stare was like ice after I fouled the other playersSimile or metaphor:What could this mean: In ABC with mC = 90 the sides satisfy the ratio BC:AC:AB = 4:3:5. If the side with middle length is 12 cm, find: 1) The perimeter of ABC; 2) The area of ABC; 3) The height to the hypotenuse. Why is it important to know what checmicals are producded in the body as decomposition proceeds? Cul es el volumen (en mL) necesario para diluir 100.0 mL de una solucin de CaC2 5.00 M para obtener una solucin 0.750 M CaC2? Regular triangular pyramid has the slant height k=12 cm and lateral area AL = 198 cm2. Find the length of the base edge. Nitrogen-fixing bacteria are important because...A. They turn nitrogen from the air into nitrogen compounds in the soil.B. They are essential for plants being able to carry out photosynthesis.C. They break up dead animals in the soil.D. They release nitrogen from the soil into the atmosphere. The feeling of intense attraction for another person is _____. which answer choice shows an expression meaning a number plus 13? A)x-13 B)13x C)x+13 D)x13 Methylphenidate is prescribed for a 6-year-old boy with the diagnosis of attention deficithyperactivity disorder (adhd). the nurse teaches the father about safe medication administration and concludes that the instructions have been understood when the father says that he should administer it at which time? given abcd ac = 22 and ae= 2x-5 find the value of x The two Germans to develop the economic and political philosophy not is communism are