187²–87² without using mathematical table or calculator

Answers

Answer 1

27.400

Step-by-step explanation:

187X187 = 34.969

87X87=7.569

34.969 - 7569 = 27.400

Answer 2

Use the identity

(a + b)² = a ² + 2ab + b ²

Then rewrite 187² as

187² = (100 + 87)² = 100² + 2•100•87 + 87²

Subtract 87² eliminates the last term from above, so we're left with

(100² + 2•100•87 + 87²) - 87²

= 100² + 2•100•87

= 10000 + 2•8700

= 10000 + 17400

= 27400


Related Questions

The diagram shows rays of light from a point source, P, that reach a detector, D, along two paths. One path is a straight line, while the other is bent by reflection off a mirror. What is the value of b, correct to one decimal place? Assume that all the points in the diagram lie in the same plane.

Answers

This can solved using the cosine law which is:

c² = a² + b² - 2ab cos θ

Using the values given from the problem

6² = b² + b² - 2bb cos 112.62

And solving for b

36 = 2b² - 2b² cos 112.62

b = 3.6

The answer is the 3rd option.

Answer:

b = 3.6

Step-by-step explanation:


Simplify t^12/t^6
A. 2
B. 6
C. 6
D. 7-2

Answers

Answer:

t

12

/t

6

=t

12−6

=t

6

if this helps your welcome

What is 21596 rounded to the nearest Highest Place

Answers

Answer:

if i'm correct 20,000

Step-by-step explanation:

State whether the following angle measures can form a triangle.
A) 90, 90, 35
B) 60, 27, 93
(PLEASE HELP)
(If you could also please help me with question 4 as well I will give you brainliest)

Answers

Answer:

3.b because 60,27,93

Step-by-step explanation:

can you brainliest me

Answer:

3.b

2.155/⅘

Step-by-step explanation:

hope it's helpful

please help i'll mark big brain​

Answers

Answer:

alternate angles are equal

Step-by-step explanation:

fill in the table using this function rule. y=-10x+3

Answers

Answer:

-1 = -8

0 = 3

1 = 13

5 = 53

Step-by-step explanation:

-1 times 10 is -11

-11 plus 3 = 8

I NEED BIG TIME HELP PLEASE ANYONE

Answers

Answer:

Its B

Step-by-step explanation:

Answer:

the answer would be B I took the quiz

Step-by-step explanation:

I took the quiz

3r-(r+0.47)=3.13 solve for r

Answers

Answer:

r=1.8

Step-by-step explanation:

Answer:

2.66 = r

Step-by-step explanation:

3.13 - 0.47 = 2.66 which would equal r

solve pls brainliest

Answers

Answer: 100.4

Step-by-step explanation: 800 - 699.6 = 100.4

answer- 100.4

explanations is

I need some help with this

Answers



The following can be deduced from the expressions

m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12

Please note that the sum of angles in a triangle is 180 degress. Therefore,

M∠ A + m ∠ B + m ∠ D = 180equation(3)

Substitute for equation 1 and 2 in equation 3 as shown below

m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0

Substitute for m∠A= 24 in equation 1 and 2 as shown below

m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0

,

∠= °

∠= °

∠= °

Solve for me please

Answers

Answer:

[tex]{ \rm{10x + 5y + 2z = 5}} \\ { \rm{4x - 5y - 5z = 8}} \\ { \rm{3x + 5y + 4z = 1}}[/tex]

• First find x

[tex]{ \rm{10x = 5 - 5y - 2z - - - (i)}}[/tex]

• Find y

[tex]{ \rm{4x = 8 + 5y + 5z - - - (ii)}}[/tex]

• Find z

[tex]{ \rm{3x = 1 - 5y - 4z - - - (iii)}}[/tex]

equate the three equations:

[tex]{ \rm{0z - 10= 2y}} \\ \\ { \boxed{ \bf{y = - 5}}}[/tex]

Find z

[tex]{ \rm{z = ( - 1 \times - 5)}} \\ \\ { \boxed{ \bf{z = 5}}}[/tex]

Find x

[tex]{ \rm{3x + 5y + 4z = 1}} \\ \\ { \rm{3x - 25 + 20 = 1}} \\ \\ { \rm{3x = 6}} \\ \\ { \boxed{ \bf{x = 2}}}[/tex]

ei
Extend geometric sequences
You might need: Calculator
What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro

Answers

Answer:

2

Step-by-step explanation:

Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.

Can you help me on attached picture

Answers

3/5 = 9/15
3 times 3 is 9. And 5 times 3 is 15.

Identify the terms and like terms in the expression

t + 8 + 3t =

Answers

Answer:

jzjzhsjoqhzjs I I shxaoaas

James lives 4 miles from the town library. He lives 256 miles from the post office.

How much closer is James to the post office than to the library?

Enter your answer in the box as a mixed number in the simplest form. (Please Help!)

Answers

Answer:

1 1/6 miles

Step-by-step explanation:

i failed the test sooo haha here you go hopefully you dont fail:)

Using the unitary method we can conclude that James is 64 times closer to the post office than to the library.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that James lives 4 miles from the town library.

James lives 256 miles from the post office.

Therefore, we will divide the 256 by 4 to get the answer;

256/4 = 64

Thus, we can conclude that James is 64 times closer to the post office than to the library.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

In 2000 pizza costs 7.50 and in 2015 it costs 9.00 what is the percentage of change in the cost of the pizza

Answers

percentage change = difference/original x 100

(9.00-7.50)/7.50 x 100 = 2.50/7.50 x 100
= 1/3 x 100
= 33.3% increase

Consider and define which type of slope the line has.

Answers

Answer:

think of the numbers as the grid. zero being the middle and each square being 1 2 3 4 5 6 etc to the right of 0 are your positive, -1 -2 -3 etc move to the left of that line, your other access from zero goes up to positive one positive 2 positive 3 etc, from zero down you would be negative one negative 2 negative 3 etc

Answer:

1) (-7, 8) and (-7, 0) - Undefined Slope.

2) (3, 5) and (-1, 2) - Positive Slope.

3) (2, 4) and (5, 1) - Negative Slope.

4) (6, -3) and (4, -3) - Zero Slope.

1) In the coordinates (-7, 8) and (-7, 0), we can see that the first number in both coordinates (the x point) is -7. If the x values are the same, that means that the line does not change at all horizontally/on the x-axis. The only solution to a line that passes through these points would be a vertical line. Vertical lines always have an undefined slope. To test, use the slope formula with the coordinates. y2 is the y in the second coordinate, y1 is the y from the first coordinate, x1 is the x from the first coordinate, and x2 is the x from the second coordinate.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{0 - 8}{-7 - (-7)} = slope[/tex]   0 - 8 = -8 and -7 - (-7) = -7 + 7 or 0. Any number divided by 0 is undefined.

2) In the coordinates (3, 5) and (-1, 2) there isn't any obvious abnormality in the coordinates that may cause undefined or 0. We can use the slope formula to find if it has a positive or negative slope.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{2 - 5}{-1 - 3} = slope[/tex]   2 - 5 = -3 and -1 - 3 = -4.  [tex]\frac{-3}{-4}[/tex]  simplifies to 3/4, so the slope is positive.

3) (2, 4) and (5, 1) also don't have any repeating numbers in the coordinates so we can find the slope using the formula.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{1 - 4 }{5-2} = slope[/tex]   1 - 4 = -3 and 5 - 2 = 3   [tex]\frac{-3}{3}[/tex] = -1, so the slope is negative.

4) (6, -3) and (4, -3) have the same y values in them, -3. If the y value stays constant then that means the line does not move along the y-axis. This means that it must be a straight line through 1 point on the y-axis. It is a horizontal line. The slope of a horizontal line is always 0 because is straight. You can check using the slope formula.

[tex]\frac{y2 - y1}{x2 - x1} = slope[/tex]        

[tex]\frac{-3 - (-3) }{4 - 6} = slope[/tex]   -3 - (-3) = -3 + 3 = 0 and 4 - 6 = -2. [tex]\frac{0}{2}[/tex] = 0. The slope is 0.

Let me know if you have any questions!

A coin is flipped 80 times. It lands tails 47 times. What is the P (Heads)?
percentages pls

Answers

Answer:

%41.25

Step-by-step explanation:

80 - 47 = 33

33 divided by 80

convert to percentage

Please help me with this.

Answers

Answer:

12.4

Step-by-step explanation:

do 9x11 (the cross)

then divide that by 8, so 99/8

that equals 12.375 which rounded to the nearest tenth is 12.4

Help please for brainliest

Answers

Answer:

C

Step-by-step explanation:

a quadratic polynomial has an x² term

a binomial has 2 terms

leading coefficient is the coefficient of the term with largest exponent

4x² - 8x

is a quadratic (x² term )

is a binomial ( has 2 terms )

has a leading coefficient of 4 (4x² )

need help with number 8 please

Answers

f(1)=2*(0.7)^1

f(1)=2*0.7
f(1)=1.4

Answer:(1, 1.4) when X is 1, Y would be 1.4

correct answers Please!!

Answers

Answer:

114 miles

Step-by-step explanation:

Sam is playing a board game. He must roll dice to determine if he gets an extra turn. The probability of getting an extra turn is 6/17. Find the odds in favor of getting an extra turn.

Answers

Answer:

6 to 11

Step-by-step explanation:

By definition,

the odds in favor of getting an extra turn =

(# of chances to get an extra turn in 17 attempts) / (# of chances to not get an extra turn in 17 attempts) =

6 to (17 - 6) =

6 to 11.

if a=2,b=1 and c=1 than evalute ab+bc​

Answers

Answer:

3

Step-by-step explanation:

2x1+1x1

Answer:3

Step-by-step explanation:

(2)(1)+(1)(1)

2+1

=3

Click on the greatest amount of rainfall.

Answers

Answer:

Click on the 2

Step-by-step explanation:

someone plz help me asap I will make you brainlist

Answers

answer: -28
7/2=3.5
3.5x-8=-28

E-
-
)
Simplify
-13-
.
o o
4

Answers

9514 1404 393

Answer:

  (a)  -4

Step-by-step explanation:

The picture is fuzzy, but perhaps you want to evaluate ...

  [tex]-1\left|\dfrac{2}{3}-4\right|\div\dfrac{5}{6}=-1\left|-\dfrac{10}{3}\right|\div\dfrac{5}{6}\\\\=-\dfrac{10}{3}\div\dfrac{5}{6}=-\dfrac{20}{6}\div\dfrac{5}{6}=-\dfrac{20}{5}=\boxed{-4}[/tex]

Help “ASAP” 50 points… What is the length of TU? Show all work proportions.

Answers

Answer:

48 units

Step-by-step explanation:

Similar triangles given:

ΔQPR ~ ΔUTV

The ratio of corresponding sides:

TU/PQ = UV/QRTU/60 = (20 + 60)/(60 + 40TU/60 = 80/100TU = 60*4/5 TU = 48

Help help help close

Answers

Answer:

x = 3.2

Step-by-step explanation:

Divide 400 by 125 to get x.

Answer:

x = 31.25%

Step-by-step explanation:

[tex]125 = x \: \: . \: \: 400 \\ \frac{125}{400} \times 100\% = x \\ 31.25\% = x[/tex]

solve pls brainliest

Answers

5 and 7/10, 5.749, 5.78, and then 113/20
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