Find the cos of angle T....

Answer:

The difference between the greatest and smallest rational number   [tex]=\frac{3}{20}[/tex]              

Step-by-step explanation:

Step(i):-

Given that the rational numbers

[tex]\frac{7}{15} , \frac{11}{20} ,\frac{2}{5} ,\frac{12}{25}[/tex]

we have to find that the difference between the greatest and the smallest rational numbers

solution:-

The greatest rational number  =  [tex]\frac{11}{20}[/tex]

Convert into decimal = 0.55

The smallest rational number = [tex]\frac{2}{5}[/tex]

Convert into decimal = 0.4

The difference between the greatest and smallest rational number

                     [tex]= \frac{11}{20} - \frac{2}{5}[/tex]

                     = [tex]\frac{11-8}{20}[/tex]

                    [tex]=\frac{3}{20}[/tex]

Final answer:-

The difference between the greatest and smallest rational number     [tex]=\frac{3}{20}[/tex]

Step-by-step explanation:

3+a=4-b

4+b=7+a

a=1-b

4+b=7+1-b

2b=4

b=2

a=1-2= -1

3-a= 3- -1= 3+1=4

3-a=4

Answer:

The answer is 4.

Step-by-step explanation:

First, you have to form simultaneous equations :

[tex]3 + a = 4 - b[/tex]

[tex]a + b = 1 - - - (1)[/tex]

[tex]4 + b = 7 + a[/tex]

[tex]a - b = - 3 - - - (2)[/tex]

Next, you have to solve it :

[tex](1) - (2)[/tex]

[tex]a + b - (a - b) = 1 - ( - 3)[/tex]

[tex]2b = 4[/tex]

[tex]b = 2[/tex]

[tex]sub \: \: b \: = 2 \: \: into \: \: (1)[/tex]

[tex]a + 2 = 1[/tex]

[tex]a = 1 - 2[/tex]

[tex]a = - 1[/tex]

Lastly, you have to substitute a-value into the expression :

[tex]3 - a = 3 - ( - 1) = 4[/tex]

Answer:

-11

Step-by-step explanation:

m²+12q

= (5)² + 12(-3)

= 25 -36

= -11

Answer:

447 / 50

Step-by-step explanation:

447 / 50 Because if you divide it you will get 8.94 same answer

Answer:

inproper fraction would be 447/50 but the proper fraction would be 8 47/50

Answer:

The prevalence rate of flu cases requiring hospitalization thus far in 2018 is:

= 0.13%

Step-by-step explanation:

a) Data and Calculations:

Population of Portland, ME = 70,000

Number of flu cases requiring hospitalization on February 1st, 2018 = 43

Number of flu cases requiring hospitalization on July 4th, 2018 = 90

The prevalence rate of flu cases requiring hospitalization thus far in 2018 = 90/70,000 * 100 = 0.13%

b) The prevalence rate represents the proportion of the population of Portland, ME, who have the flu at the time that the Maine Public Health Department reported the number of flu cases requiring hospitalization on July 4th, 2018.

Answer:

m<5=101.9    m<8=101.9

Step-by-step explanation:

alternate interior and vertical angles

Answer:

(a) m∠5=<4[alternate angle]=101.9°,

(b) m∠8=<5[vertically opposite angle]=101.9°,

Answer:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Step-by-step explanation:

Given

[tex]t= thickness[/tex]

[tex]h =height[/tex]

From the first statement, we have that:

[tex]t\ mm \ge 0.1 * h\ cm[/tex]

Convert mm to cm

[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]

[tex]t\ *0.1 \ge 0.1 * h[/tex]

Divide both sides by 0.1

[tex]t \ge h[/tex]

From the second statement, we have that:

[tex]Cost \le 12.2[/tex]

Substitute 0.2 + t + 0.5h for Cost

[tex]0.2 + t + 0.5h \le 12.2[/tex]

Collect Like Terms:

[tex]t + 0.5h \le 12.2-0.2[/tex]

[tex]t + 0.5h \le 12.0[/tex]

So, the inequalities are:

[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]

Answer: it's a, the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 is a factor of 15 and 35

15:35 = 3:7

Answer:

The answer would be 0.05

Step-by-step explanation:

This is because it is PER Cent so 5% is 0.05 of 1

Answer:

1/20 and 0.05

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+y = 8

y = 8-x

xy = 17

x(8-x)  = 17

8x - x² = 17

x² - 8x + 17 = 0

Quadratic formula

x = [8 ± √(8² – 4·1·17)] / [2·1]

 = [8 ± √(-4)] / 2

 = [8 ± 2i] /2

 = 4±i

x = 4+i

y = 4-i

A quadratic equation is written in the form of ax²+bx+c. The two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

Let the first number be 'a' and the second number be 'b'. Therefore, the sum of the two numbers is,

a+b=8

The product of the two numbers is,

ab=17

b=17/a

now, the equation can be written as,

a+b=8

a+(17/a)=8

a² + 17 = 8a

a²-8a+17=0

a = 4±i

Hence, the two numbers whose sum is 8 and whose product is 17​ are (4+i) and (4-i).

Learn more about Quadratic Equations:

https://brainly.com/question/2263981

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Answer:

?????????

Step-by-step explanation:

wheres the equation

x<=4

x is less than or equal to four

children less than or equal to four can ride the train for free

Answer:

D

Step-by-step explanation:

180-152= 28°

4x+6x-8+28=180

10x=160

x=16°

kjl= 6x-8= 88°

Answer:

L=8.062 feet

Step-by-step explanation:

wall=7

distance=4

Pythagorean theorem

7^2+4^2=L^2

49+16=L^2

65=L^2

L=8.062 feet

The required length of the ladder is given as 8.06 feet.

In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.

here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06

Thus, the required length of the ladder is given as 8.06 feet.

Learn  more about Pythagorean triplets here:

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Answer:

Step-by-step explanation:

Each circle represents : [tex]\frac{3}{5}[/tex] and 5 circles

5 * [tex]\frac{3}{5}[/tex]

Answer

Step-by-step explanation:

is Each circle represents : 3/2 and 5 circles

Answer:

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Step-by-step explanation:

As the given Augmented matrix is

[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 1 :

[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 2 :

[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]

Step 3 :

[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]

Step 4 :

[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]

Step 5 :

[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]

Step 6 :

[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]

∴ we get

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Answer:

19%

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

Answer:

3.75

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

Answer:

I dont kn0w try g00gle searches

Answer:

B. M(t)= 5240+240t

Step-by-step explanation:

cause

Answer:

The second one is right

The third one is wrong.

9514 1404 393

Answer:

  c = 6√2

  d = 12

Step-by-step explanation:

The sides of any isosceles triangle (opposite the congruent angles) are congruent. Hence c = 6√2.

The hypotenuse of an isosceles right triangle is √2 times the side length, so ...

  d = c√2 = (6√2)(√2) = 6·2

  d = 12

__

If you don't believe that, you can always use the Pythagorean theorem to find d:

  d^2 = (6√2)^2 +c^2

  d^2 = 72 +72 . . . . . . . . . since c=6√2

  d = √144

  d = 12

Answer:

[tex]y = - \frac{4}{5} x + 3[/tex]

Step-by-step explanation:

[tex]b = 3[/tex]

[tex] - 2 = 4a + 3[/tex]

[tex]a = - \frac{4}{5} [/tex]

Answer:

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Step-by-step explanation:

Runner A is 0.25 miles behind Runner B.

Runner B has a speed of 7mph, while Runner A has a speed of 8.5 mph.

This means that each hour, Runner A catches up at a speed of 8.5 - 7 = 1.5 mph.

How long will it take Runner A to catch up to Runner B?

1 hour - 1.5 miles

x hours - 0.25 miles

[tex]1.5x = 0.25[/tex]

[tex]x = \frac{0.25}{1.5}[/tex]

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

It will take one sixth of a hour, that is, 10 minutes for Runner A to catch up to Runner B.

Answer:

£212.5

Step-by-step explanation:

15% of 250 = 37.5

250 - 37.5 = 212.5