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as a simplified fraction, the answer is 4/77

as a decimal it is about 0.0519480519480519

Answer:

41 degrees

Step-by-step explanation:

Complementary angles add to 90 degrees

<3 + <4 = 90

<3 + 49 = 90

Subtract 49 from each side

<3 = 90-49

<3 =41

Answer:

362

Step-by-step explanation:

Answer:

12 is the GFC.

Step-by-step explanation:

24 - 8, 3, 4, 6, 2, 12, 1, 24

60 - 10, 6, 2, 30, 20, 3, 5, 12, 4, 15

The greatest common factor of 24 and 60 is 12

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

For us to find the greatest common factor we need to find the common factors between the numbers.

The factors of 24 = 1,2,3,4,6,8,12 and 24

The factors of 60 = 1,2,3,4,5,6,12,15,30 and 60.

The common factors are ;

1,2,3,4,6 and 12

And the greatest common factor is 12. because it is the highest factor.

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Answer:

c/d = 5x/3

Step-by-step explanation:

Given :-

c/d - a/b = x

a = 2c

b = 5d

To Find :-

Value of c/d in terms of x

Solving :-

Substitute value of a and b.

c/d - 2c/5d = x

3c/5d = x

c/d = 5x/3

Solution :-

c/d = 5x/3

Answer:

(1 - 2sinα)(1 + 2sinα)

Step-by-step explanation:

1 - 4sin²α ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

1 - 4sin²α

= 1² - (2sinα )²

= (1 - 2sinα)(1 + 2sinα)

Answer:

The value of the car today is $13,000, but will lose 11% of it's value each

A. The range of the ages of the members of the Debate Team is greater than the range of the ages of the

members of the Chess Club.

Answer:

the probability that both dessert and drink are sugar free = ¼

Step-by-step explanation:

We are told that there are 5 different sandwiches, 4 different desserts and 6 different drinks.

Now, since Two of the four desserts are sugar free, then the probability that the dessert chosen is sugar free is;

P(desert sugar free) = ½

Now, three of the the 6 drinks are sugar free, then the probability that the drink chosen is sugar free is;

P(drink sugar free) = 3/6 = ½

Thus, the probability that both dessert and drink are sugar free is;

P(both sugar free) = ½ × ½ = ¼

Answer:

slope: -1/2

y-int: 9/2

Step-by-step explanation:

rearrange 9-x=2y into slope-intercept form: y=mx+b (m being slope and b is y-intercept)

2y = -x + 9

divide both sides by 2 to isolate the y and get:

y = -x/2 + 9/2

m (slope) = -(1)/2

b (y-int) = 9/2

ANSWER:

2 ounces.

EXPLANATION:

it uses 1 once of gasoline every time it is on not driving and it is at a traffic light for 2 minutes then 1 + 1 = 2.

 1 ounce + 1 ounce = 2 ounces of gasoline it uses.

Answer:

A

Step-by-step explanation:

Answer:

N + B + D = 90     sum of ages is 90        (I)

B = 2 D     B is twice as old as D

N + 3 D = 90      using above equations

(N + 10) + 3 D = 100        add 10 to both sides

B + 3 D = 100             Brian is 10 yrs older than Nigel

2 D + 3 D = 100       Brian is twice the age of Dean

5 D = 100      

D = 20      Dean's age

Brian = 2 D = 40 Brian's age

90 - 60 = 30 = Nigel's age

Check:

N + 10 = B = 30 + 10 = 40 = Brian's age

Answer:

Now suppose that x1,y1 , x2,y2 , , xn,yn are the vertices of a polygon (with positive orientation). The area of the polygon is A 1 2 C xdy ydx 1 2 x1y2 x2y1 x2y3 x3y2 xny1 x1yn . The problem asks us to find the area of the pentagon with vertices 0,0 , 2,1 , 1,3 , 0,2 , and 1,1 .

Step-by-step explanation:

The area of the given triangle JKL is 16 units square.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given vertices form a triangle in the coordinate plane ;

Base = 3 + 5 = 8 units

Height = 9 - 5 = 4 units.

Since the area of a triangle is given as (1/2) × base × height.

So,

Area = (1/2) × 8 × 4 = 16 unit square.

Hence "The area of the given triangle JKL is 16 units square".

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Answer:

25

Step-by-step explanation:

The sum of all of the angles inside of a triangle is 180 degrees. That means we know that:

[tex](x+26)+(x+14)+(4x-10)=180[/tex]

We can then combine like terms:

[tex]6x+30=180[/tex]

We want to get 6x alone, so we can subtract 30 from both sides:

[tex]6x=150[/tex]

Then we want to get x alone, so we can divide both sides by 6:

[tex]x=25[/tex]

Now we know that x is 25.

Answer:

32 is the values 21 is the integers

Step-by-step explanation:

that's may answer ty hope it's help

Answer:

no

Step-by-step explanation:

17/8 = 2.125

1/2 = 0.5

Two ratios are proportional if they are equal.

17/8 and 1/2 are note equal, so they are not proportional.

Answer:

It's just 2

Step-by-step explanation:

When you divide a negative by a negative, it becomes positive

Answer:

Step-by-step explanation:

place a marker every mile along the race course. How

Answer:

A. Total area of Alaska is considerable larger than total area of Connecticut.

B. Population of California is considerably larger that population of Alaska.

Step-by-step explanation:

A. What is the difference in total area of Alaska and Connecticut?

According to the US government, total areas of Alaska and Connecticut are 663,268 square miles ([tex]6.633\times 10^{5}[/tex] square miles) and 5,567 square miles ([tex]5.567\times 10^{3}[/tex] square miles), respectively.

The difference between both quantities is:

[tex]x = 6.633\times 10^{5}\,mi^{2}-5.567\times 10^{3}\,mi^{2}[/tex]

[tex]x = 6.577\times 10^{5}\,mi^{2}[/tex]

Which means that total area of Alaska is considerable larger than total area of Connecticut.

B. What is the difference in total population of California and Alaska?

According to the US government, total populations of California and Alaska are 39,512,223 people ([tex]3.951\times 10^{7}[/tex] people) and 710,249 people ([tex]7.103\times 10^{5}[/tex] people), respectively.

The difference between both quantities is:

[tex]x = 3.951\times 10^{7}\,people - 7.103\times 10^{5}\,people[/tex]

[tex]x = 3.880\times 10^{7}\,people[/tex]

Which means that population of California is considerably larger that population of Alaska.

Answer:

Step-by-step explanation:

Yes

Answer:1 is 60 and 2 is a k=2

Step-by-step explanation: correct me if I’m wrong

Answer:

B

Step-by-step explanation:

it's just option B because it is only root

Answer:

the answer would be B. (2.5, -0.5)

plug the possibilities in and solve. just because it works for one, it doesn't mean that it will work for both.

3 (2.5) - (-0.5) = 7.5 + 0.5 = 8

(2.5) + (-0.5) = 2.5 - 0.5 = 2

i hope i helped. :)

Step-by-step explanation:

Read more about system of equations at:

brainly.com/question/12895249    if im wrong

Answer: 10 degrees

Step-by-step explanation:

-5+15=10

AnTo divide mixed numbers Change each mixed number to an improper fraction.

Multiply by the reciprocal of the divisor, simplifying if possible.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Step-by-step explanation:

Answer:

If u have mixed fractions, like [tex]3\frac{1}{2}[/tex], you will have to change it to improper fraction([tex]\frac{7}{2}[/tex]) to divide with ease.

let's give an example of how to divide fractions.

1. [tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Now, you will invert the numbers on the right side, and that will cause the division sign to change into multiplication sign.

[tex]\frac{2}{3} / \frac{1}{3} \\\\\frac{2}{3} X \frac{3}{1}\\\\2[/tex]

2. let's have another example:

[tex]2\frac{1}{3} / 3\frac{1}{2}\\\\\frac{7}{3} / \frac{7}{2} \\\\\frac{7}{3} X \frac{2}{7} \\\\\frac{2}{3}[/tex]

Answer:

yes

Step-by-step explanation:

also its a 45 degree angle

cuz 135-90+45

XD brainliest pls

Answer:

B

Step-by-step explanation:

to change a mixed number into an improper fraction

a [tex]\frac{b}{c}[/tex] = [tex]\frac{ac+b}{c}[/tex] , then

9 [tex]\frac{1}{3}[/tex]

= [tex]\frac{9(3)+1}{3}[/tex]

= [tex]\frac{27+1}{3}[/tex]

= [tex]\frac{28}{3}[/tex]

Answer:

we use the same program

Step-by-step explanation:

28/3 Is the answer!

(by the way you can use a simplify calculator

for most of the problems it gives you.)

Hopefully this helps you!

-Keira

Answer:

No it does not  matter in which order the store applies the discount.

Step-by-step explanation:

Suppose we have the cost price = $ 100

Then 70 %  off means 70% of 100= 70 $ discount

And the remaining $ 30  is again given a discount of 20 % . That would be 20 % of $ 30=  $ 6 discount giving the discounted price of $ 24.

Now if we apply the discount of 20 % first that would give $ 80 discounted price and again applying 70 % to $ 80 would give $ 56 discount and a discounted price of $ 80 - $ 56= $ 24

Hence the order in which the discount is applied does not matter.

Answer:

because 4 is being multiplied by 500 which has two zeros because it is a multiple of 100

Step-by-step explanation:

Answer:

Because when you multiply 500 by 4 you start with the first 0. 4x0 is 0, now you move on to the second 0. 4x0 is 0, so that one is 0 too. Now you multiply the 5. 5x4 is 20. You put the 20 first, followed by the two 0s, And you get 2,000.

Step-by-step explanation: