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The area of triangle ABC when Angle B=120°, AB= 6, BC = 10 is 25.980 square unit.

As per the question statement, we are supposed to find out the area of triangle ABC in which angle B=120°, AB= 6, BC = 10.

Lets find out AC for which we should know about Cosine formula

i.e., [tex]AC^{2} =AB^{2} +BC^{2} -2(AB)(BC)cos(B)\\AC^{2} =6^{2} +10^{2} -2*6*10cos120\\AC^{2}= 36+100-120*(-0.5)\\AC^{2}=196\\AC=\sqrt{196} =14[/tex]

Hence We have measures of all three sides of the triangle ABC.

Now we use the Heron's formula for calculating the area of triangle ABC.

We need semi perimeter i.e., [tex]s=\frac{AB+BC+AC}{2}[/tex]

[tex]s=\frac{30}{2} =15[/tex]

Now Area is given by,

[tex]area=\sqrt{s(s-AB)(s-BC)(s-AC)} \\area=\sqrt{15(15-6)(15-10)(15-14)} \\area=\sqrt{15*9*5*1} \\area=\sqrt{675} \\area = 25.980 unit^{2}[/tex]

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Answer:

I D K if this even helps at all T B H

Answer:

-0.25

Step-by-step explanation:

1). When beginning, you need to find the least common multiple (lcm), which would be 2.

2). Divide 3 by 2 leaving you with 1.5.

3). Then divide 1.5 by 2 leaving you with -1/4.

4). Convert -1/4 into a decimal.

5). Final answer -0.25.

Answer: -0.25

Step-by-step explanation:

[tex]\displaystyle\\\frac{1}{2}-\frac{3}{4}=\\\\ \frac{1*2}{2*2} -\frac{3}{4} =\\\\\frac{2}{4} -\frac{3}{4}=\\\\ \frac{2-3}{4} =\\\\\frac{-1}{4} =\\\\-\frac{1}{4} =\\\\-0.25[/tex]

Answer:

It's the third choice:

2/3 j^2/k^4

Step-by-step explanation:

√ [4j^4/9k^8)]

= √(4j^4) / √9k^8

= 2j^2 / 3k^4

= 2/3 j^2/k^4

Answer: d)

-10 + 15 = 5

Answer:

D. 5

Step-by-step explanation:

-10 + 15 Can be rewritten as 15-10

15-10=5

The answer is 5.

Hope this helps!

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Answer:Answer:

The measurement of the angle is 60

Step-by-step explanation:

The two blue lines are straight and parallel lines. The sum of the angles on a straight line is 180 degrees. Angle 5 and angle 6 are on a straight line. Therefore

Angle 5 + angle 6 = 180

If angle 5 is 120 degrees, then

Angle 6 = 180 - 120 = 60 degrees.

The simplified form of the algebraic expression is [tex]\frac{23}{10} p+\frac{6}{5} r[/tex] .

An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).

Given expression is of the form:

[tex]\frac{3}{5} (\frac{1}{2}p+2r )+2p[/tex]

Now we will use the distributive property to expand the algebraic expression:

[tex]or, (\frac{3}{5} \times\frac{1}{2}p+\frac{3}{5} \times2r) +2p\\\\or,\frac{3}{10}p+\frac{6}{5} r+2p\\ \\or,\frac{3+20}{10} p+\frac{6}{5} r\\\\or,\frac{23}{10} p+\frac{6}{5} r[/tex]

Hence the simplified algebraic expression is  [tex]\frac{23}{10} p+\frac{6}{5} r[/tex] .

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the probability of drawing 2 red marbles from the bag will be 0.0455.

Number of Red marbles = 3

Number of blue marbles = 5

Number of green marbles = 4

Total marbles = 3 + 5 + 4 = 12

Probability of drawing 2 red marbles from the bag will be:

P = 3 / 12 × 2 / 11

P = 6 / 132

P = 3 / 66

P = 1 / 22

P = 0.0455

Therefore, the probability of drawing 2 red marbles from the bag will be 0.0455.

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Answer:960

Step-by-step explanation:

The linear equation from the given statement is the N + F+11 = 2F.

According to the statement

We have to write the linear equation.

So, For this purpose, we know that the

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.

From the given information:

David has 11 shirts to fold. Let N be the number of shirts he would have left to fold after folding F of them. Write an equation relating and 2F.

Then

The number of shirts left = N

The number of the shirts which are folded = F+11

The total number of shirts = 2F

And then

The linear equation becomes :

N + F+11 = 2F

This the linear equation for the given statement.

So, The linear equation from the given statement is the N + F+11 = 2F.

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Answer:

Step-by-step explanation:

Your answer is D because the number is irrational to start, and therefore will be irrational if divided by a rational number.

Answer:

Step-by-step explanation:

=-4z-2

The best interpretation of the number 8.6 according to the task content is; The completion time of the reaction.

It follows from the task content that the number 8.6 as given in the task content can be agreed to be the completion time of the reaction.

This follows from the fact that, at time, s = 8.6, amount in moles, m of the reactants remaining becomes, 0 in which case, the reaction is complete.

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There is no relationship between the number of movies and the number of sleep hours.

It is always a thing of importance to show data by the use of a scatter plot. The scatter plot must always have two axes. The vertical (y axis ) and the horizontal (x axis). It is always common to plot the independent variable on the x axis and the dependent variable on the y axis.

The scatter plot thus represented shows how one variable is related to another. In this case, we are trying to obtain how the number of sleep  hours tend to be related with the number of movies and this has been shown on the scatter plot that is shown in the question above.

It is clear from the statements in the question that the line of best fit would show that as the number of movies remained constant, the number of sleep hours decreased. This now implies that there is no relationship between the number of movies and the number of sleep hours.

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The value of x from the expression given is - 5

Algebraic expressions are expressions composed of variables, terms, factors, coefficients and constants.

They are also made up of mathematical operations such as addition, subtraction, division, multiplication, etc.

Given the expression, let's find the value of x

3(x + 1) = 2(x - 1)

Expand the bracket

3x + 3 = 2x - 2

collect like terms

3x - 2x = -2 - 3

Subtract like terms

x = - 5

Thus, the value of x from the expression given is - 5

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Answer:

y = 5

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 4, 5 ) with y- coordinate 5 , then

y = 5 ← equation of line

Answer:

0.6

Step-by-step explanation:

Answer: 20%

Step-by-step explanation: If you look at it like 100 then think of 20% of 100.

20% or 2.

The vertical height of the rocket at the end of the third stage is 83.2 km.

We are provided that the rocket travels first 10 km vertically up (OA), then the rocket travels for 20 km (AC) at an angle of  15° from point A.

Let rocket travels 'a' distance vertically up(AB) during this,

then, rocket travels for travels for 60 km (CD) at an angle of  26° from point C.

Let rocket travels ' b' distance vertically up (BX) during this.

So,

Total Vertical Height Covered = 10 + a + b

So, According to diagram

In ΔABC

[tex]cos \ 15[/tex]° [tex]= \frac{a}{20}[/tex]

[tex]\\a = 20 * cos 15[/tex]° = 19.32km

In ΔCDE

[tex]cos \ 26[/tex]° [tex]= \frac{b}{60}[/tex]

[tex]\\b = 60 * cos 26[/tex]° = 53.9km

Since,

Total Distance = 10 + a +b

Total Distance = 10 + 19.32 + 53.9

Total Distance = 83.2 km

Therefore, Vertical height of the rocket at the end of third stage =  83.2 km

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All the factor pairs are given using the grids:

So,

(Refer to the grids given below)

Therefore, all the factor pairs are given using the grids:

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Answer:

the angle made by that line is tangent

Answer: It is m<U = 60 and m<V = 120 (x = 20)

Step-by-step explanation:

1. We know that these 2 angles are supplementary, which means both adds up to 180 degrees.

2. So first, we do this:
             3x + 2(m<U) = 180
          2a. We do this to find m<U

3. We can also notice that 3x is m<U, so substituting m<U with 3x makes sense. 3x + 2(3x) = 180

4. We then simplify:
3x + 6x = 180
9x = 180

5. We will then divide:
x = 20

6. With the new found info, we substitute x with 20:
m<U = 3(20)
m<V = 2(3(20))

7. Doing the math, it becomes:
m<U = 60
m<V = 120

(i) You can add both up if you want to make sure, but it is correct

Answer: $0.38

Step-by-step explanation:

2.29/8=

0.38167=

0.38167=$0.38

y = -3x - 11

calculator

Answer:

1111101001

Step-by-step explanation:

Binary 1001 = 9. « Previous (1000) Next (1010) ».

Using it's concept, the probability of at least 1 red face upper most is 17/18 = 0.9444 = 94.44%.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For each cube, the probability of no red faces is:

Hence the probability of no red faces in anu cube is:

1/6 x 1/2 x 2/3 = 1/18.

Which means that the probability of at least 1 red face is given by:

1 - 1/18 = 17/18 = 0.9444 = 94.44%.

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