Determine the length of BC . ANSWERS: A) 12.25 units B) 24.71 units C) 19.00 units D) 5.57 units

Answer:

Step-by-step explanation:

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Answer:

47.7 square units

Step-by-step explanation:

It is important to know that,

The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)

In the question above, we are given the following values:

Where : a = 8, b = 12, θ = C = 84°

Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.

Answer:

14

Step-by-step explanation:

The two points on y=5 are (4,5) and (10,5), which can be deducted if you draw a picture with (7,1) and y=5 on it. A vertical line through 7,1 and the line to "some" points on y=5 left and right of it have lengths 4 and 5 respectively.

Then I realized these were two 3,4,5 triangles! So the x coordinates must be at 7-3=4 and 7+3=10 respectively!

The sum of 4 and 10 is 14.

edit: seems to me the sum is 14 regardless of the length of 5??

Answer:

Yes

Step-by-step explanation:

Since the height is twice the length of base (b), we can say h= 2b.

Since the area of triangle = base x height /2, we can see if it is possible that the area of sail be 10in².

b(2b) /2 = 10

2b² / 2 = 10

b² = 10

b= √10

b = 3.1623in. or -3.1623in.

Even though b can be -3.1623, but since the length in real life cannot be negative, this answer is not valid. Still, 3.1623in. is possible in real life, so, the area of the sail boat can be 10 in².

Yes, the area of the sail can be 10 square inches.

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

A hobbyist is making a toy sailboat.

For the triangular sail, she wants the height h (in inches) to be twice the length of the base b (in inches).

Then, height = 2b inches.

That means,

the area of the triangle = 10 square inches.

1/2 x b x 2b = 10

b² = 10

b = √10

Therefore, the area can be 10 square inches.

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Answer:

(3, -2).

Step-by-step explanation:

d + e = 1

−d + e = −5    Adding the 2 equations:

0  + 2e = -4

e = -2.

Plug this into the first equation:

d + -2 = 1

d = 1 + 2

d = 3.

Check these results in the second equation:

-3 + -2 = -5    -  checks out.

Answer: the slope is -3/2

Step-by-step explanation: The slope is negative, because the line is pointing downwards. A way I learned it that there's a skier and going up the line/mountain is "puff puff positive" and skiing down the hill is "nice and easy negative."

To figure out the exact number, take a point on the line. I chose (2,-1) I then moved down 3 ( going down makes it negative)  spaces, and right two space to get to the next point. This is known as rise over run.

Hope that helped!

Answer:

[tex]-1.5[/tex]

Step-by-step explanation:

So we are asked to find the slope of the line on the graph, so let's find the two points that are actually hitting a part of the graph instead of the middle.

Looking at it, I see (-2,5) and (0,2).

So now, how many squares do we have to move to get from (-2,5) to (0,2)?

Well, we have to move 3 squares down, and 2 squares to the right.

Follow the rise over run method :

[tex]\frac{rise}{run} = \frac{-3}{2}[/tex]

Divide -3 by 2 :

[tex]-1.5[/tex]

-1.5 is the slope of the line.

Answer:

Company B

Step-by-step explanation:

We would use z score formula

z = (x - μ) / σ

x = raw score

μ = mean

σ = Standard deviation

let x = 260 with the mean μ1 = 276 and standard deviation σ = 5.8

let x = 260 with the mean μ2 = 252 and standard deviation σ = 3.4

z1 = (x- μ1) / σ = (260- 276) / 5.8 = -2.7586206897

z2 = (x2 - μ) / σ = (260 -252) / 3.4= 2.3529411765

Comparing the two z scores, we can see that company B has the probability of producing 260 nails because it has a positive z score of approximately 2.35 compared to company A with a z score of -2.76.

Answer:

27.50

Step-by-step explanation:

109.99=100%

10.999=10%

21.998=20%

27.4975=25%

so they are taking £27.4975 off the original price meaning the new price is £82.4925 but, because it is money, you would need to round this to two decimal places leaving the new price as £82.49

Answer:

5.83 units

Step-by-step explanation:

3² + 5² = RS²

RS² = 34

RS = √34

RS = 5.83095189

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Answer:

the length of RS is about 6 (5.8)

Answer:

The probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position is 1/72.

Step-by-step explanation:

It is provided that a dance team has 9 dancers to perform different roles in each performance.

The number of arrangements of the 9 dancers in the different roles is:

Number of order of performance = 9!

                                                       = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

                                                       = 362880

If the team selects the same order as last performance, then the possible number of arrangements is, 1.

The probability that the team selects the same order as last performance is:

[tex]=\frac{1}{362880}[/tex]

Now it is provided that the team puts the top hip hop dancer in the third position and top break dancer in the first position.

So of the 9 positions the 1st and 3rd are occupied.

There are a remaining 7 positions to be filled by 7 dancers.

That can happen in 7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040 ways.

Compute the probability that the team puts the top hip hop dancer in the third position and top break dancer in the first position as follows:

[tex]=\frac{5040}{362880}\\\\=\frac{1}{72}[/tex]

Thus, the probability is 1/72.

Answer:

-2√7(-5.291503)

Step-by-step explanation:

combine like terms

Answer:

[tex] - 2 \sqrt{7} [/tex]

Step-by-step explanation:

[tex]3\sqrt{7} - 5\sqrt{7} = - 2 \sqrt{7} [/tex]

We subtract 3 and 5 and not the numbers under the radical.

The number under the radical can be changed if multiplied or divided.

3-5=-2 or

-5+3=-2

It's like having 5 dollar debt and then paying 3 dollars, you still have to pay those 2 dollars left.

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Answer:

Volume = 252π units³

Step-by-step explanation:

We have been given an obliques cylinder (a cylinder having its bases parallel to each other but are not aligned).

The volume of an oblique cylinder can be found similarly to that of a regular cylinder, with using the formula:

Volume = Base · Height

Where the height in the regular cylinder is taken as the distance from one base to another base, but for oblique cylinder, the height is taken as the perpendicular distance from one base to another base, which in the given diagram, is shown as 7

So, for the given cylinder:

Height = 7

Radius = 6

Volume = Base · Height

Volume = πr² · h

Volume = π(6)² · 7

Volume = 252π units³

Answer:

2

Step-by-step explanation:

Answer:

A) (-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)

Step-by-step explanation:

From the graph, we have 5 different points.

To write out the coordinates of a point from the graph, you write it in the format (x, y),that is, the x position comma the y position.

Let's start from the left hand side, we have:

(-3, -2), (-1, 1), (1, 0), (2, 3), (4, -2)

These are the points displayed on the graph.

Notice that they are arranged according to increasing x coordinates.

Answer:

Step-by-step explanation:

Step-by-step explanation:

6,5,8,2,8,6,5,8,8

To find the mean you MUST add all of the numbers together

then divide by the number of numbers

this will be your mean

Then to find the absolute deviation you must find the absolute value of the numbers in this case they stay the same  since the absolute value is NEVER negative....

then you need to find the data value of the entire data set

then subtract the mean from that number!

Hey there! :)

Answer:

4.

Step-by-step explanation:

Parallel lines contain the same slope. A line that is parallel to y = 4x + 2 has the same slope.

In this instance, a parallel line would contain a slope of m = 4.

Answer:

4

Step-by-step explanation:

Parallel lines have same slope.

Answer:

[tex]x = 500[/tex]

Step-by-step explanation:

Given

[tex]log20x^3 - 2logx = 4[/tex]

Required

Solve for x

[tex]log20x^3 - 2logx = 4[/tex]

Using law of logarithm which says;

[tex]nlogx = logx^n[/tex]

The expression becomes

[tex]log20x^3 - logx^2 = 4[/tex]

Also, using laws of logarithm which says:

[tex]loga - logb = log\frac{a}{b}[/tex]

The expression becomes

[tex]log(\frac{20x^3}{x^2}) = 4[/tex]

[tex]log(20x) = 4[/tex]

Also, using laws of logarithm which says

[tex]If\ loga = b\\then\ a = 10^b[/tex]

The expression becomes

[tex]20x = 10^4[/tex]

[tex]20x = 10000[/tex]

Divide through by 20

[tex]\frac{20x}{20} = \frac{10000}{20}[/tex]

[tex]x = \frac{10000}{20}[/tex]

[tex]x = 500[/tex]

Answer:

500

Step-by-step explanation:

Answer:

its 25° .

because its an isosceles trangle as jk=kl =7.

and angle J is equal to angle L as they are base angles of an isosceles triangle.

Answer:

35 cuts or 36 parts

The lumberjack cuts 7 numbers of the log on the painted lines.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Let length of the log on the painted lines = 72 units

Pedro wants the log cut into 24 equal parts,

⇒ 72/24 = 3 units

John wants the log cut into 18 equal parts,

⇒ 72/18 = 4 units

Hence, the lumberjack cuts 7 numbers of the log on the painted lines.

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Answer:

g(-2) = 0

Step-by-step explanation:

Given

g(x) = x^2 + 2x

we have to find value of g(-2)

to get that we

need to x = -2 in g(x)

g(x) = x^2 + 2x

g(-2) = (-2)^2 + 2*(-2) = 4 -4 = 0

Thus,  g(-2) = 0

Answer:

Yes, he will have enough paint to cover the tank with one layer of paint.

Step-by-step explanation:

We are given that Tublu buys a cylindrical water tank of height 1.4 m and diameter 1.1 m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank (not the base).

He uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex].

From the question, it is clear the area of the tank which needs to be painted is the lateral surface area (because the base is not included).

The lateral surface area of the cylinder = [tex]2\pi rh[/tex]

where, r = radius of the cylinder =  [tex]\frac{\text{Diameter}}{2}[/tex]  = [tex]\frac{1.1 }{2}[/tex] = 0.55 m

           h = height of the cylinder = 1.4 m

           [tex]\pi[/tex] = 3.142 (given)

So, the lateral surface area of a cylindrical water tank = [tex]2 \times 3.142 \times 0.55 \times 1.4[/tex]

                                                                                         = 4.84 [tex]\text{m}^{2}[/tex].

Now, it is given in the question that; Tublu uses 250 ml to cover 1 [tex]\text{m}^{2}[/tex] area, this means that;

To cover 4.84 [tex]\text{m}^{2}[/tex] area, he will use paint = [tex]4.84 \times 250[/tex] = 1210 ml

Since he has a full 2 liters tin of paint in his store which is equal to 2000 ml but he need only 1210 ml of paint.

This means that yes, he will have enough paint to cover the tank with one layer of paint.

Answer:

A= (x^2/7)(y^-3/5)

Step-by-step explanation:

7√x^2 / 5√y^3

7√x^2

=(x^2)1/7

=x^2/7

5√y^3

=(y^3)1/5

=y^3/5

Substitute into the expression

(x^2/7) / (y^3/5)

=(x^2/7)(y^-3/5)

Answer:

A

Step-by-step explanation:

edge 2020

Answer:

The graph now opens in the opposite direction. The y intercept is shifted up 4.

Step-by-step explanation:

F(x) = 2x^2-8

F(X)= -2x^2-4

We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)

We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.

Attacthed is both of the equations graphed to help you visualize this shift!

Answer:

didnt understand the quedtion clearly

Answer:

0.125 miles per gallon.

Step-by-step explanation:

After 200 gallons used the freight train has traveled 25 miles. This means that we need to divide both sides by 200 to get a singular gallon's worth of miles traveled. 200/200 is 1, and 25/200 is 0.125.

---------------------

Extra

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IF it were how many gallons per mile, you would divide both answers by 25 resulting in 8 gallons per mile.

Step-by-step explanation:

as I can see this the answer is

x = 25/78

in decimal

x = 0.320

Answer:

[tex]\frac{7}{6}[/tex]

Step-by-step explanation:

Given

a=1/5

b=1/2

c=3

d= -1/4

Required

[tex]\frac{1}{a} * \frac{1}{c} + \frac{1}{b} * d[/tex]

Substitute the values of a, b, c and d in the expression above

[tex]\frac{1}{\frac{1}{5}} * \frac{1}{3} + \frac{1}{\frac{1}{2}} * \frac{-1}{4}[/tex]

Simplify the above expression

[tex]1/{\frac{1}{5} * \frac{1}{3} + 1/{\frac{1}{2}} * \frac{-1}{4}[/tex]

[tex]1*{\frac{5}{1} * \frac{1}{3} + 1*{\frac{2}{1}} * \frac{-1}{4}[/tex]

[tex]5 * \frac{1}{3} + 2 * \frac{-1}{4}[/tex]

[tex]\frac{5}{3} + \frac{-2}{4}[/tex]

[tex]\frac{5}{3} - \frac{2}{4}[/tex]

Take LCM

[tex]\frac{20 - 6}{12}[/tex]

[tex]\frac{14}{12}[/tex]

Divide the numerator and denominator by 2

[tex]\frac{7}{6}[/tex]

Hence, [tex]\frac{1}{a} * \frac{1}{c} + \frac{1}{b} * d[/tex] = [tex]\frac{7}{6}[/tex]

Answer:

4

Step-by-step explanation:

Sum of numbers that Anna pulled = 3 +(-4) + (-2) + 0

                                                       =  3 + (-6)

                                                      = (-3)

Hint: If two numbers have same sign add & the result will have the same sign Eg: (-4) + (-2) = -6

If two numbers have different sign, subtract and the result will have the sign of bigger number. Here sign 6 is ' - ', so the result is  (-3)

Sum of numbers that James pulled = 2 + 4 + 1

                                                           = 7

Sum of all numbers =  (-3) + 7

                                = 4

Answer:

4

Step-by-step explanation:

Sum of numbers that Anna pulled= 3 +(-4) + (-2) + 0

=  3 + (-6)

= (-3)

Sum of numbers that James pulled = 2 + 4 + 1

                                                          = 7

Sum of both =  (-3) + 7

                              = 4

HOPE IT HELPS!

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

[tex]\frac{20}{17}[/tex]

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

[tex]\frac{x}{85}[/tex]

Equate both fractions

[tex]\frac{20}{17} = \frac{x}{85}[/tex]

Multiply both sides by 85

[tex]85 * \frac{20}{17} = \frac{x}{85} * 85[/tex]

[tex]85 * \frac{20}{17} = x[/tex]

[tex]\frac{1700}{17} = x[/tex]

[tex]100 = x[/tex]

[tex]x = 100[/tex]

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

Recall that the question says the same number of boys and girls were surveyed

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

[tex]Outdoor = \frac{3}{3 + 2} * Total[/tex]

[tex]Outdoor = \frac{3}{3 + 2} * 185[/tex]

[tex]Outdoor = \frac{3}{5} * 185[/tex]

[tex]Outdoor = \frac{555}{5}[/tex]

[tex]Outdoor = 111[/tex]

Hence, the number of girls that chose outdoor is 111