A triangle and a square are drawn on dotty paper with dots 1 cm apart. What is the area of the region coloured red? ​

Answer:

21x-28

Step-by-step explanation:

the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.

Answer:

21x-28

Step-by-step explanation:

distribute the 7 to the 3x & the -4

you get 21x-28

Answer:

angle 1 130°

angle 2 50°

angle 3 130°

Step-by-step explanation:

180°-50°=130°, use one of the road as the straight line,

which is 180° so angle 1 is 130°

which means angle 2 is also 50° because 180°-130° is 50°

and angle 3 is 130° because 180°-50°=130°

Hope this helps :)

Answer:

-32>x

Step-by-step explanation:

-16>x÷2

-16×2>x

-32>x

Of course!

First, you'll need to line up both of your fractions, there's no need to have common denominators because you'll be multiplying straight across.

Next, multiply both numerators together straight across, then denominators.

4·2=  8

5·3= 15

Most fractions will need simplified after you've multiplied your fractions, but your product (8/15) doesn't need simplified since there's no common factors with 8 and 15, or a relationship.

Answer: 8 / 15

Answer:

SSS, congruent.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Using the binomial distribution, it is found that:

a)

b) They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

For each driver, there are only two possible outcomes, either they wear their seatbelts, or they do not. The probability of a driver wearing their seatbelt is independent of any other driver, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The variance of the binomial distribution is:

[tex]V(X) = np(1-p)[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Item a:

[tex]E(X) = np = 40(0.3) = 12[/tex]

[tex]V(X) = np(1-p) = 40(0.3)(0.7) = 8.4[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{40(0.3)(0.7)} = 2.9[/tex]

Hence:

Item b:

The number of trials until q successes of a binomial variable is modeled by a geometric distribution, with expected value given by:

[tex]E(X) = \frac{q}{p}[/tex]

In this problem, one success, hence [tex]q = 1[/tex] and:

[tex]E(X) = \frac{q}{p} = \frac{1}{0.3} = 3.3[/tex]

They expect to stop 3.3 cars before finding a driver whose seatbelt is not buckled.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

Answer:

19

Step-by-step explanation:

in question given ,x = 2, y = 3, z = 5 in this way

(3x+3z+2w) and find the value of w . according to given values and put

Answer:

  4 +30/w . . . . for any w≠0

Step-by-step explanation:

The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.

The ratio requirement means ...

  (x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5

Considering the first equality, we can multiply by 6 and subtract the right side.

  3(x -y +z) -2(y -z +2w) = 0   ⇒   3x -5y +5z -4w = 0

Considering the first and last expressions, we can multiply by 10 and subtract the right side.

  5(x -y +z) -2(2x +z -10) = 0   ⇒   x -5y +3z = -20

These two equations have solutions ...

  x = 10 -z +2w

  y = 6 + 0.4z +0.4w

Using these expressions in the ratio of interest, we have ...

  (3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w

  = (30 +4w) : w

Expressed as a mixed number, the ratio of interest is ...

  (30 +4w)/w = 4 +30/w . . . . an infinite number of solutions

__

For positive values of w that are divisors of 30, there are 8 possible values:

   (w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)

_____

Check

It might be interesting to substitute the expressions for x and y into our original equation(s).

  (x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)

  (y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)

  (2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)

All of these expressions are identical, as they should be.

Answer:

multiplying 4500 by .01. This gave me $45 as in interest. Then I added the payment fee, $40. 40+45 is 85,

Step-by-step explanation:

Answer:

x=85 degrees, y=45 degrees

Step-by-step explanation:

solve for x first:

because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.

x+95=180 so solving for x would result in x=85 degrees (180-95)

then to solve for y:

the total sum of the interior angles of a triangle is 180 degrees.

so if you know x and the given 50, then to solve for y:

50+85(angle x)+y=180

then solve for y to get 45 degrees (180-(50+85))

Answer:

the length of rectangle is 27 in

The solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Given the quadratic function expressed as;

0.02x²+ 0.5x - 4 = 0

Multiply through by 100 to have;

2x² + 50x - 400 = 0

Using the general formula to solve:

x = -50±√2500-4(2)(-400)/2(2)

x = -50±√2500+3200/4

x = -50±75.49/4

x = -31.3 or 6.3

Hence the solution to the quadratic equation by using a numeric approach

are x = 6.3 and x = -31.3

Learn more on quadratic function here: https://brainly.com/question/25841119

Answer:

y=48

Step-by-step explanation:

180-135=55-7=y=48

The two numbers are 12 and 5.

Two equations can be derived from this question

5x + 2y = 70 equation 1

4x - 2y = 38 equation 2

Where:

x = larger number

y = smaller number

In order to determine the  larger number, the following steps hare to be taken:

Add equation 2 and 1

9x = 108

Divide both sides by 9

x = 108/9

x = 12

In order to determine the smaller number, substitute for x in equation 1

5(12) + 2y = 70

60 + 2y = 70

70 - 60 = 2y

10 = 2y

y = 5

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

Answer:

$15,589

Step-by-step explanation:

Since it deteriorated 15%, it is now worth 85% of the original.

18340 * .85 = 15589

Answer:

Solve what?

Step-by-step explanation:

You didn't put the question.

Congruence  means equivalence in comparison.

All points on the same plane are congruent. (True)

A point is an exact location .

All segments on the same plane are congruent. (False)

Without knowing the lengths of different segments these cannot be termed as congruent.                                                                                                                                                                      

All angle on the same plane are congruent. (False)

All triangles on the same plane are congruent.  (False)

Two triangles are congruent if they have

The triangles congruence can also be understood by

https://brainly.com/question/1675117

The angles congruence can also be understood by

https://brainly.com/question/10128662

The line segments congruency can also be understood by the following link

https://brainly.com/question/82457

Answer:

The bigger number is 13 and the smaller number is 5

Answer:

-10

Step-by-step explanation:

when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !

Example: (3)2=6           6(6)=36

in our case it is (-5)2        So was ist -5 x 2? -10

hope this helped!

for some extra practice to check your knowledge, what is (-3+-2)2 ?

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

Answer:

Answers given in the photo

Answer: Max has 4 cards.

Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3

Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.

Answer:

4 cards

Step-by-step explanation:

Each card takes  [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in

[tex]\frac{1}{6} x=\frac{2}{3}[/tex]

And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:

[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]

And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.

[tex]1x=\frac{12}{3}[/tex]

The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:

[tex]x=\frac{12}{3}[/tex]

And we can simplify the fraction...:

[tex]x=4[/tex]

And we are done!

Couldn't make a fraction bar but hopes this helps :(

Answer:

This usual depicts units in centi-metre

Usually Centi-(and the unit you have)

Step-by-step explanation:

Because it is 1 in 100

100 is what centi means, so centi-metre

Like centipede, an insect with 100 legs

1:100 means 1 in 100

or one centi-metre

Hope this helps!

Answer:

Step-by-step explanation:

She is missing 3. 235 plus 20 is 255 but the answer is 258 so she is missing 3

Answer: what are you asking im lost

Step-by-step explanation:

3x | 3x^3+9x^2+27x |x^2+3x+9x

- 3x^3

-------

9x^2

- 9x^2

---------

27x

- 27x

--------

0

Answer:

x^2 + 3x + 9x

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

8x + 4y <= 136

2x + y <= 34

trying (15, 9) :

2x + 7y <= 70

2×15 + 7×9 <= 70

30 + 63 <= 70

93 <= 70

that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.

trying (0, 10) :

2×0 + 7×10 <= 70

70 <= 70

that is true.

2×0 + 10 <= 34

10 <= 34

also true.

so, (0, 10) is the correct answer option.

Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6