Mathematics College

A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs

Answers

Answer 1
Let x represent the shorter leg. Then the Pythagorean theorem tells us
  x^2 +(x +17)^2 = 25^2
  2x^2 +34x +289 = 625
  x^2 +17x -168 = 0
  (x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution

The shorter leg is 7 cm; the longer one is 24 cm.

Related Questions

meg runs 1 1/2 miles and walks 2 1/4 miles each day of the week. how far does meg run and walk in al each week? explain. remember, you can write an equivalent fraction fir 1 1/2

Answers

Hello :)

Meg walks and runs 3 3/4 in total each week.

We can find this answer by adding the two numbers, 1 1/2 and 2 1/4

Hope this helps :)
Hey there!

To solve this problem, you first add the numbers 1 1/2 and 2 1/4:

1 + 2 = 3

Try finding the Lowest Common Denominator (LCD) of the fractions. . .
1/2 = 2/4
1/4 = 1/4

2/4 + 1/4 = 3/4

1 + 2 = 3
4 = 4
(Since both have the same denominator, the final denominator stays the same.)

3 + 3/4 = 3 3/4

Since there are 7 days in a week, multiply 7 x 3 3/4 . . .

7 = 7/1
3 3/4 = 15/4

7 x 15 = 105
1 x 4 = 4

105/4 = 26 1/4 <------------

Meg runs 26 1/4 miles overall in each week.

Hope this helps you.
Have a great day!

subtracting unlike fractions 8/9 - 5/6

Answers

Hello,

Here is your answer:

The proper answer to your question is "1/18".

Here is how:

8*6=48
9*6=54
-
5*9=45
6*9=54

48-45=3

Which is 3/54!

3/3=1
54/3=18

Which means your answer is 1/18!

If you need anymore help feel free to ask me!

Hope this helps!

What is another name for an indirect proof? Picture included

Answers

proof by contradiction

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cmJuanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cm

Answers

the answer is 4 and 7

Answer:

Correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.

Step-by-step explanation:

The opposite sides of a parallelogram are equal.

[tex]5n-6=3n-2[/tex]

[tex]2n=4[/tex]

Divide both sides by 2.

[tex]n=2[/tex]

The value of n is 2.

The lengths of two adjacent sides of the parallelogram are

[tex]5n-6=5(2)-6=10-6=4[/tex]

[tex]2n+3=2(2)+3=7[/tex]

Therefore the correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.

James gets headaches. the time between one headache and the next is an exponential random variable. he has noticed that, after having a headache, there is a 50% chance of having another headache within the next 4 days. james has not had a headache in 5 days. what is the probability that he will go for at least 5 more days before the next headache?

Answers

An exponential random variable is one that follows a Poisson point process, which is memoryless.  So the fact that he had a headache 5 days ago does not change the probability that he will, or will not have a headache in the next 5 days.

For an exponential distribution,
&lambda;=rate of occurrence=mean number of headaches per day.

probability distribution function
=pdf(x, &lambda; ) = &lambda; e^(- &lambda; x)

cumulative probability distribution function,
cdf(x, &lambda; ) = 1 - e^(- &lambda; x)

We are given probability of having no headaches in 4 days is 0.5,
this means x=4 in
cdf(4, &lambda; ) = 0.5, =>
1 - e^(-4 &lambda; )=0.5
Solve for &lambda;
&lambda; = -log(0.5)/4 = 0.1732868   [log(x)=natural log of x]
=>
interpretation: the mean number of headaches is 0.1732868 per day.

Using the cdf, for x=5 days,
cdf(5,0.1732868)=1-e^(-0.173868*5)=0.57955
=>
interpretation: probability of having a headache in 5 days = 0.57955

Therefore
probability of NOT having a headache in 5 days is (1-0.57955)=0.42045




Last question pls help!

A rectangle has a side of 12 inches and another side of 6 inches...
whats the perimeter? whats the area? what would be the area and permieter combined?

Answers

Hello :)

Area = 72 in.

Perimeter = 36 in.

Hope this helps :))
Hey there!

To find perimeter, add the sides. . .

12 + 12 = 24
6 + 6 = 12
24 + 12 = 36 <------ The perimeter is 36 inches.

To find area, multiply the two sides. . .

12 x 6 = 76 <------ the area is 76 inches.

To combine the area and perimeter, add the numbers 76 and 36. . .

36 + 76 = 112 <--- the area and perimeter combined is 112 inches.

Hope this helps you.
Have a great day!

lungimea unei gradini de 78 m iar perimetrul este de 256 m.Afla latimea gradinii

Answers

trebuie sa postezi la pagina care e in romineste
L= 78 si P=256
P=2L+2W                 w e width(latime)
256=2*78+2w
256=156+2w
256-156=2 w
100=2w
w=50
i dont speak that but i think the anwser is w=50

You paid $80 for a tennis racket. If you found the racket under a sign stating 1/4 off, what must the original retail price have been?

Answers

To solve this problem you must apply the proccedure shown below:
 1. You have that you paid $80 for a tennis racket which was under a sign stating 1/4 off. Therefore, you can express this with the following equation:
 [tex] x-x/4=80 [/tex]
 Where [tex]x[/tex]is the original retail price.
 2. When you solve for [tex]x[/tex], you obtain:
 [tex]3/4x=80 \\ x=106.67[/tex]
 The answer is: [tex]106.67 dollars [/tex]

Beulah took out a loan for $1225 at an 11.4% APR, compounded monthly, to buuy a foosball table. If she will make monthly payments of $101.75 to pay off tghe loan, how many total payments will she have to make?

Answers

Beulah should make 13 (rounded off) payments of $101.75 for her loan amounting to $1372.18 after a year.

To answer this problem, get first the Future Value (FV) of the loan for a year. Given the APR and the amount of loan, FV is computed as follows: FV = $1225 x (1+.0095)¹² = $1372.18
Note that the APR and period were changed to 0.95% and 12, respectively because it has to be compounded monthly.  

Now, divide the FV by the monthly payment of $101.75.
Number of payments = $1372.18/$101.75 = 13.48 ≈ 13

Answer:

13

Step-by-step explanation:

APEX

How many square feet of outdoor carpet will we need for this hole?

Answers

Assuming the hole is the green part, you would take 12•4 - 2•2. So 48-4=44 sq ft

Answer:

44 square feet

Step-by-step explanation:

We are given a rectangle of dimension 12ft×4ft and a square of dimension 2ft×2ft.

Then, the required outdoor carpet will be:

Outdoor carpet required=Area of the outer hole that is the rectangle - Area of the inner hole that is the square

=[tex](length)(breadth)-(side)^{2}[/tex]

=[tex](12)(4)-2^{2}[/tex]

=[tex]48-4[/tex]

=[tex]44[/tex] square feet.


In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth.

Answers

The arc length will be found using the formula:
C=θ/360πd
θ=2/7π=2/7*180=51 3/7°
d=2r=2×3635=7270 cm
hence the arc length will be:
C=(51 3/7)/360×π×7270
C=(1038+4/7)π cm
C=3,262.78 cm (to the nearest hundreth)

How many lateral faces does a pentagonal prism have? Explain its actually 8 for anyone who needs this in the future

Answers

Answer: 5.

Explanation:

You can see the attached figure for better understanding.

A pentagonal prism has 2 bases (the bottom and top faces), each pentagonal, and 5 lateral faces.

The pentagon is a figure with 5 sides. Hence, from each side, the prism will have one lateral face that goes from one base to the other.

The figure attached shows a pentagonal prism where you can see what I explained.

A pentagonal prism has five lateral faces.

A pentagonal prism is a three-dimensional geometric figure with two parallel pentagonal bases and rectangular lateral faces. To determine the number of lateral faces:

(1) Visualize the pentagonal bases; a pentagon has five sides.

(2) Each side of the pentagon is perpendicular to a corresponding rectangle, forming a lateral face.

So, a pentagonal prism has five lateral faces, matching the number of sides of its base pentagon.

An octahedron, a completely different shape, has eight triangular faces, not to be confused with the prism.

Carson wants to put her 232 stickers into a book that has 36 Pages if she puts 8 stickers on each page how many pages will be blank

Answers

232/8=29 and 36-29=7 meaning he will have 7 blank pages. Hope this helps :)

Movie A took in $142.44 million on it’s first weekend. This topped the previous opening weekend revenue set by movie B by $4.14 million. How much did movie B take in on its opening weekend?

Answers

Revenue of Movie A on first weekend = $ 142.44 million

According to the given statement, revenue of movie A was $4.14 million more than the revenue of movie B in their first weekends.

So, we can write:

Revenue of movie A = Revenue of movie B + $4.14 million

Revenue of movie B = 142.44 million - 4.14 million = $ 138.30 million.

Thus movie B take in $138.30 million on its opening weekend. 

need help plz I need this by today because it's due Tomorrow

Answers

Dale's earnings for 52 weeks were
.. income = 52*985 = 51,220
Dale's withholding was
.. tax paid = 0.16*51,220 = 8195.20

According to the 3rd row of the table, Dale owes 8,770 in taxes, so must pay an additional
.. $8770 -8195.20 = $574.80

Dale owes $574.80.

Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5

Answers

In B 5^2 = 25. There is no x anywhere.
In C f(x) = 2/x is a function of a reciprocal, not a quadratic.
In D f(x) = 2x^3 + 3x^2 - 5 is a cubic. A cubic is not a quadratic. The highest power of a quadratic is x^2

That leaves A. When you expand the brackets, you get
3(x^2 + 3x- 4x - 12)
2(x^2 - x - 12) when you remove the brackets you get
2x^2 - 2x - 24. The highest power of x is x^2. This is your quadratic.

A<<<< answer.

Final answer:

The function f(x)=3(x-4)(x+3) is the only quadratic function provided in the options, as it can be expanded to a second-order polynomial form.

Explanation:

The student asks which of the given functions is quadratic. A quadratic function is a second-order polynomial with the highest exponent of the variable being 2. Given the options, the function f(x)=3(x-4)(x+3) is quadratic because it can be expanded to the form ax2 + bx + c, where a, b, and c are constants. The given function will simplify to a quadratic equation once we expand it. No other provided functions display the characteristics of a quadratic equation; f(x)=52 is a constant, f(x)=2/x is a rational function, and [tex]f(x)=2x^3+3x^2-5[/tex] is a cubic function.

To the model estimated in table 8.1, add the interaction term, e401k · inc. estimate the equation by ols and obtain the usual and robust standard errors. what do you conclude about the statistical significance of the interaction term?

Answers

Please Send Lions, Monkeys, Cats And Zebras Into Lovely Hot Countries
Signed General Penguin
P - potassium
S - sodium
L - lithium
M - magnesium
C - calcium
A - aluminium
Z - zinc
I - iron
L - lead
H - hydrogen
C - copper
S - silver
G - gold
P - platinum

number 248682 rounded off to the nearest hundred becomes what

Answers

that's a full number
248,682 rounded to the nearest hundred is 249,000

cx+5c=7c solve for x assume c doesn't equal 0

Answers

Because we've assumed [tex]c \neq 0[/tex], we can safely divide by [tex]c[/tex] (if [tex]c[/tex] could equal zero, we would have to account for the case in which doing so would be to divide by zero).  Hence, we have:

[tex]\begin{aligned} x+5=7 \end{aligned}[/tex]

Subtracting [tex]5[/tex] from both sides gives [tex]x = \boxed{2}[/tex].

There were 25 melons at the grocery store. The store sold 3/5 of the melons. How many melons were sold?

Answers

Hello!

Convert 3/5 to a decimal by dividing its numerator by its denominator.

3 ÷ 5 = 0.6

Next, multiply the total amount of melons in the store by the decimal.

25 × 0.6 = 15

ANSWER:

15 melons were sold.

Simplify 3a • 3b ÷ 3c ÷ 3d. The exponent on 3 is _____.

Answers

abcd is your exponent

The correct answer is  2.

To simplify the expression 3a • 3b ÷ 3c ÷ 3d, we need to apply the laws of exponents and combine the coefficients and variables.

Given expression: [tex]3a \cdot 3b \div 3c \div 3d[/tex]

[tex]\text{Step 1: Rewrite the expression using exponents}[/tex]

[tex](3^1 \cdot a) \cdot (3^1 \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]\text{Step 2: Apply the laws of exponents for multiplication and division}[/tex]

[tex](3^1 \cdot 3^1 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]= (3^{1 + 1} \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]= (3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]\text{Step 3: Simplify the expression by combining the exponents and coefficients}[/tex]

[tex](3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]

[tex]= (3^2 \cdot a \cdot b) \div (3^{1 + 1} \cdot c \cdot d)[/tex]

[tex]= (3^2 \cdot a \cdot b) \div (3^2 \cdot c \cdot d)[/tex]

[tex]= \frac{a \cdot b}{c \cdot d}[/tex]

Therefore, the simplified expression is [tex]\frac{a \cdot b}{c \cdot d}[/tex], and the exponent on 3 is 2.

Yesterday, the price of a gallon of gas at five gas stations was $3.64, $3.79, $3.70, $4.01, and $3.91, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. $3.81
B. $3.89
C. $3.73
D. $3.97

PLEASE BE CORRECT.

Answers

3.64 + 3.79 + 3.70 + 4.01 + 3.91 = 19.05
0.08 * 5 = 0.40

19.05 + 0.40 = 19.45

19.45 / 5 = 3.89

Answer is B
Answer:

Option: B is the correct answer.

              B.    $ 3.89

Step-by-step explanation:

The price of a gallon of gas at five gas stations is given by:

       $3.64, $3.79, $3.70, $4.01, and $3.91

The mean of these data values is given by:

      [tex]Mean=\dfrac{3.64+3.79+3.70+4.01+3.91}{5}\\\\\\Mean=\dfrac{19.05}{5}\\\\\\Mean=3.81[/tex]

We know that if each of the quantity of the data set is increased by a fixed amount then the mean of the data set also increases by that fixed amount.

As we are given that each  gas station raised its price by $0.08.

This means that the mean is also increased by $ 0.08

i.e. Today's mean price of a gallon of gas at the five station is given by:

            [tex]Mean=3.81+0.08\\\\\\Mean=3.89[/tex]

             Hence today's mean is:

                   $ 3.89

Is 90 g less than, greater than, or equal 9kg

Answers

90 g is less that 9kg if thats what you want
Answer is "less than"

9 kg = 9000 grams since 1 kg is equal to 1000 grams (kilo = thousand)

So comparing "90 g to 9kg" is the same as "90 g to 9000g"
90g is smaller than 9000 g
therefore, 90 g is smaller than 9 kg

6200ft is <>= to 1mi 900ft

Answers

Hey there!

Convert 1 mile to feet. This would be 5280 feet. Add this to 900. 5280+900=6180. So 6200 is greater than 1 mile 900 feet, or 6200>1 mile 900 feet.

I hope this helps!
1 mile=5280 ft
5280 + 900=6180
6200ft < 1 mi 900ft

Which is the correct way to write three and one-tenth of a milliliter as an Arabic number?

Answers

     we have that
three and one-tenth------> 3 1/10--------> (3*10+1)/10--------> 31/10-----> 3.1 

the answer is 3.1 ml

The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units
Plz help 

Answers

each side of a box is s = 2.5 units
volume of one box is length * breadth * height 
since its a cube all sides are equal 
volume of one box = s³ = 2.5³
since there are 4 boxes, 
total volume V = 4s³
V = 4 * 2.5³ = 4 * 15.625
                   = 62.50 cubic units
third response is correct 

Answer:

Option 3 - V = 62.50 cubic units.

Step-by-step explanation:

Given : The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: [tex]V=4s^3[/tex] If s = 2.5 units.

To find : What is the value of V ?

Solution :

The equation of the total volume is

[tex]V=4s^3[/tex]

Substitute, s=2.5 units

[tex]V=4(2.5)^3[/tex]        

[tex]V=4\times 15.625[/tex]          

[tex]V=62.5[/tex]            

Therefore, Option 3 is correct.

The value of V is 62.50 cubic units.

Part A: What is the group of points labeled P called? What is the point labeled T called? Give a possible reason for the presence of point T.

Part B: Describe the association between students' test scores and the number of hours they exercise.

Answers

Labeled p is cluster point t is an outlier

What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 6 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 4 inches, and the base of the rectangle is 8 inches.

Answers

Answer: [tex]\text{Area}=72\ inches^2[/tex]

Step-by-step explanation:

By the given description of trapezoid we get,

The height of the trapezoid h= 6 inches

The base of triangle = 4 inches

The base of rectangle (a)= 8 inches

The bottom base of the trapezoid (b)= 2×base of triangle +base of rectangle

The bottom base of the trapezoid (b)= [tex]2(4)+8=8+8=16\ inches[/tex]

The area of trapezoid is given by :-

[tex]\text{Area}=\frac{1}{2}(a+b)h\\\\\Rightarrow\text{Area}=\frac{1}{2}(8+16)(6)\\\\\Rightarrow\text{Area}=72\ inches^2[/tex]

Answer:

72

Step-by-step explanation:

This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.


19.42 cm

20.28 cm

23.42 cm

32.84 cm

Answers

Try this option:
1. for the semicircle p₁=πr=3.1415*3≈9.4248 cm., where r=3 radius of the semicircle;
for the rectangle p₂=4*2+6=14 cm.
2. totaly: p=p₁+p₂=14+9.4248≈23.4248 cm.

answer: 23.42 cm.

Answer:

The perimeter of the figure is [tex]23.42\ cm[/tex]

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of [tex]6\ cm[/tex]

Step 1

Find the perimeter of rectangle

The perimeter of rectangle is equal to

[tex]P=2(L+W)[/tex]

In this problem we have

[tex]L=6\ cm[/tex]

[tex]W=4\ cm[/tex]

substitute

[tex]P=2(6+4)=20\ cm[/tex]

Step 2

Find the circumference of a semicircle

The circumference of a semicircle is equal to

[tex]C=\pi r[/tex]

we have

[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter

substitute

[tex]C=3\pi\ cm[/tex]

Step 3

Find the perimeter of the figure

[tex]20\ cm+3\pi\ cm-6\ cm=(20+3.14*3-6)=23.42\ cm[/tex]


A sphere has a radius of 9mm. What is the volume of the sphere, rounded to the hundredths place ?

Answers

Volume of a sphere: V=4/3* πr^3

V=4/3* π(9)^3

V=4/3* π(243)

V= 324 * π

(rounded): V= 1017.88 mm

The volume of the sphere will be 1017.88 cubic mm.

What is the volume of the sphere?

The volume is defined as the space occupied by the solid in a three-dimensional plane. `The volume of the sphere is defined as the space occupied by the sphere in a three-dimensional space.

The volume of the sphere is calculated by the formula below:-

Volume = V=4/3 x πr³

Given that a sphere has a radius of 9mm. Use the formula in calculating the volume of the sphere.

Volume of a sphere:

V=4/3 x πr³

V=4/3 x π(9)³

V=4/3 x π(243)

V= 324 x π

Therefore, the volume of the sphere will be 1017.88 cubic mm.

To know more about volume follow

https://brainly.com/question/27569994

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Suppose x is any positive number. Circle 1: center (7, 4) and radius 8x Circle 2: center (7, 4) and radius 2x Why is circle 1 similar to circle 2? A: Circle 1 and circle 2 have the same diameter. B: Circle 1 is a dilation of circle 2 with a scale factor of 4. C: Circle 1 is congruent to circle 2. D: Circle 1 is a dilation of circle 2 with a scale factor of 0.25. modernist poetry is characterized by all of the following except A.) shifts in perspective B.) a tendency to encourage passive reading C.) a tendency to omit interpretations D.) a lack of continuity E.) a tendency to omit introductions Anyone know the right answer? According to the national youth gang survey, the most recent survey of gang membership estimates that there are _____ gang members in the united states. Violence on TV may influence a child to be aggressive. If so, the process is called Which North African nation exports more oil than all but 15 other countries in the world LibyaEgypt AlgeriaTunisia 4/9. 11/13. 6/5. 14/21 in simplest form The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers? Why was the united states willing to accept only a limited number of jewish refugees? Determine the part of speech for the italicized word in the sentence below.The immaculately dressed woman tripped and fell down all of the stairs in the entry way.nounverbadverbadjectiveprepositioninterjection (2a 2 + a + 3) (a - 1) Please help According to the 27th Amendment, would members of Congress be able to vote in a pay raise for themselves?A.Yes, because congressional pay was set by the original Constitution, this amendment allows members to make adjustments as necessary.B.Yes, once a pay raise is voted in, it goes into effect.C.No, members have to wait until the next session of Congress, after the next election, for the raise in pay.D.No, the pay of congress can never be increased. What is the stated message in this example?Household Appliance Ad: Want to make your wife the happiest woman in the world? Forget the diamond ring and the trip to Paris give her the Clean Sweep Turbo Vacuum! It's the strongest vacuum in the world and will help your little lady handle the big job of cleaning your home. Get the Clean Sweep Turbo Vacuum she'll love it!A.The Clean Sweep Turbo Vacuum is a great gift. B.Women love cleaning and are happy to do it. C.Women traditionally do all of the vacuuming. D.Men should always buy appliances for their wives. "cold and dry" temperature and precipitation patterns are characteristic of From a cruising depth of 75 m below sea lever (BSL) the Nautilus descended to 105 m BSL and then rose to 80 m BSL. What is the total vertical distance the Nuatilus traveled?Another Question -A red kangaroo jumps along 40 km/h. At this rate how long would it take to jump 2 km in minutes?, Heat exhaustion is a deadly heat stress illness that occurs when the body's heat production significantly exceeds its cooling capacities and core body temperature rises to dangerous levels. heat exhaustion is a deadly heat stress illness that occurs when the body's heat production significantly exceeds its cooling capacities and core body temperature rises to dangerous levels. a. True b. False Find indicated values: m AB = m ABC = m BAC = m ACB = If the perimeter of a rectangle is expressed by the formula p 2l 2w then w can be expressed as Brooke is a ph.d. candidate in the field of nanophysics. she is aware that only 4 percent of physics professionals are women. many assume this is due to women having an inability to comprehend complex mathematics. knowing this, brooke actually scores below her male counterparts on exams, thus affirming the idea that women have difficulty with physics. brooke is experiencing: What advantage might chromosome banding patterns have in the analysis and diagnosis of chromosomal problems or abnormalities?