Triangle DEF is formed by connecting the midpoints of the sides of triangle ABC. The lengths of the sides of DEF are shown. What is the length of BC?​

Answer:

256

Step-by-step explanation:

Answer:

  4) 16√3 in²

  5) 63 cm²

Step-by-step explanation:

The formula to use in these cases is ...

  A = (1/2)ab·sin(θ)

where a, b are the side lengths and θ is the angle between them.

It helps to know the trig functions of the "special" angles used here.

  sin(120°) = sin(60°) = (√3)/2

  cos(60°) = 1/2

  sin(135°) = cos(45°) = (√2)/2

__

4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...

  x = (8 in)cos(60°) = (8 in)(1/2) = 4 in

So, the bottom edge of the triangle is 12 in - 4 in = 8 in.

The area is ...

  A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²

__

5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...

  x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm

Then the base of the triangle is ...

  16√2 cm -9√2 cm = 7√2 cm

The area is then ...

  A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²

Answer:

0.5

Step-by-step explanation:

[tex]2*4*\frac 1 {16}\\8 / 16\\0.5[/tex]

Hope this helped :)

Answer:

22

Step-by-step explanation:

21.994

5+ round up

Answer:

Intersects two or more coplanar lines

Step-by-step explanation:

In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.

Answer:

A, C, and E

Explanation:

Answer:

Multiply  

3  by  − 2 =− 6 x

Step-by-step explanation:

Answer:-6x I hope this is helpful

Step-by-step explanation:

-2•3x

Multiplying a negative and a positive equals a negative: (-) • (+)=(-)

-(2•3)x

Multiply the numbers

-6x

Answer:

All you have to do is turn x-2y=6 into y=mx+b form. That would mean you need to get y by itself. Subtract x from 6. Then you have -2y=6-x. Now you have to divide both sides of the equation by -2. So then you have -2y/-2 = 6-x/-2. That turns out to y=3-1/2x Which is easier read by: y=1/2x - 3

Answer:

because a fraction are not rational it is like fraction and whole numbers are one number hope this helps

Answer:

Step-by-step explanation:

Give the height of the observation deck modeled by the equation

h= -16t^2+149 where t is in seconds;

To get the time it will take the object to be 5 feet above the valley floor, we wil substitute h = 5ft into the modeled equation and calculate t;

h= -16t^2+149

5= -16t^2+149

-16t^2 = 5-149

-16t^2 = -144

t² = 144/16

t² = 9

t = √9

t = 3secs

Hence the time it will take for the object to be 5 feet above the valley​ floor is 3secs

How can I compare linear relationships?

We have measured simple relationships between the size of different species and their weight (biomass). They are linear regressions (sometimes semilog). The type of question I would like to answer is, for example, if I have 4 species of snail, each with a separate linear equation representing the relationship between size and biomass, are those relationships significantly different, or does one relationship suffice for all my snail species?

I'm not sure how to do this comparison. Each species often has different sample sizes. I thought about just doing the separate relationships, then pooling all samples and comparing the resulting slope to the species-wise relationships with t tests. However I'm worried that species with more samples will bias the results. I could randomly remove samples from those species to equalize them. Another alternative might be to do an ancova with species put in as a dummy variable and look for interactions with species as a test of parallelism. Does that seem reasonable? It seems like a good idea to me because it will also be a test of whether the intercepts are the same.

The approach using a dummy variable and looking for interaction terms will work. It only works for comparing models of the same type (transformed or not). The pooling idea is the start of trying randomization tests (or computer intensive methods in general), but it will not work well if used in the way that you suggest.

The randomization test starts by treating the data as if the null hypothesis was true. One then calculates the probability of withdrawing two samples from your data that have a difference that is equal to or greater than the observed difference. So you resample the data, calculate differences, order these differences, and see how many are equal to or larger than the observed difference. Divide that by the total number of randomizations, and you have your answer.

Answer: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.

Step-by-step explanation:

Answer: f-1x(fx2) answer = -f  

             f(2)= 2 answer 2f

              f-1x1 answer f-1

Answer:

Chapter 2 The Language of Algebra

Simplify:

1.5(3+2·6)−82

Solve:

2.17=y−13

3.p+14=23

Translate into an algebraic expression.

4.11 less than the product of 7 and x.

Translate into an algebraic equation and solve.

5.Twice the difference of y and 7 gives 84.

6.Find all the factors of 72.

7.Find the prime factorization of 132.

8.Find the least common multiple of 12 and 20.

Chapter 3 Integers

Simplify:

9.|8−9|−|3−8|

10.−2+4(−3+7)

11.27−(−4−7)

12.28÷(−4)−7

Translate into an algebraic expression or equation.

13.The sum of −5 and 13, increased by 11.

14.The product of −11and8.

15.The quotient of 7 and the sum of −4andm.

16.The product of −3 and is −51.

Solve:

17.−6r=24

Chapter 4 Fractions

18.Locate the numbers on a number line.  

7

8

,

5

3

,3

1

4

,5.

Step-by-step explanation:

Answer:

y = -4x - 2

Step-by-step explanation:

y-intercept: -2

Slope: -4

Answer:

Angle 6 = 91 degrees

Step-by-step explanation:

There are several ways you could use to find angle 6.

You could either find angle 5 then 6, 2, then 6, or 4 then 6 as they can all be found using the given angle with different rules.

First, we can find angle 5 using the corresponding angles rule which states that angles in the same corresponding quadrant are equal. That is angles that are in the same corresponding 'section' in their groups of angles at both intersect points. E.g. Angle 5 and 89 are corresponding angles, therefore angle 5 is equal to 89.

From here we can find angle 6 by using the rule that states that angles on a straight line add to 180. Angle 6 and angle 5 make up a straight line together which we know is 180 degrees. Therefore 180 - angle 5 = angle 6

180 - 89 = 91

Angle 6 is 91 degrees.

We also could have done this by first finding angle 2, which in on a straight line with the given angle. Therefore 180 - 189 = angle 2

Angle 2 = 91

Then used the corresponding angle rule to find angle 6. Angle 2 = Angle 6

Angle 6 = 91.

The final way we could have found it is by finding angle 4 first. The opposite angles rule states that opposite angles sharing a vertex are equal. This means that 89 and Angle 4 are equal. From there we can use the co-interior rule which states that angles in the same 'section' between parallel lines are co-interior (Angle 4 and angle 6) and are equal.

Therefore angle 4 = angle 6

Angle 6 = 91

Sorry if this answer was a bit confusing, hope it helps!

I think is 182.205,182.105,182.0.25,182.05

Answer:

Step-by-step explanation: i think its 21.3

The required percentage of the remaining birdseed after two months is 7.14%  

Given that, the Kettings have several bird feeders in their yards. They started with a 10.5-pound of birdseed. After two months, 12 ounces remained, what is the percent of change in the amount of bird seed after two months is to be determined

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
In, 1 pound = 16 ounces
Multiply both sides by 10.5,
10.5 pound = 16 * 10.5 ounces
10.5 pound = 168 ounces
Now after 2 months 12 ounces remained
Percentage of the remaining  = 12 / 168 * 100
                                                 = 7.14%

Thus, the required percentage of the remaining birdseed after two months is 7.14%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

Answer:

"of" means multiply in math terms!

= 8/13 IS THE ANSWER

Hope this helps!!!! :)

Step-by-step explanation:

Answer: Anywhere along the negative x axis

For example, the point could be (-1,0) or (-2,0)

All that matters is that x is negative and y = 0

Any point is on the x axis when y = 0

The negative portion of the x axis is to the left of the y axis.

Answer:

49, 35, and 32 are composite.

Step-by-step explanation:

Answer:

49, 35, and 32

Step-by-step explanation:

Answer:

1.8, 1.4, plant A,0.4in.

Step-by-step explanation:

it was right on edge

Answer:

1.8, 1.4, plant A, 0.4 in.

Step-by-step explanation:

It was right on edge.

Answer:

The greatest number of students that can stand in one row is 9. There are 2 rows of boys, and 3 rows of girls.

Step-by-step explanation:

Answer:

32.9

Step-by-step explanation:

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

LHS (left hand side)

[tex]x^{4/3}[/tex] / [tex]x^{2/3}[/tex]

[tex]x^{4/3}[/tex] x [tex]x^{2/3}[/tex]

[tex]x^{4/3 + 2/3}[/tex]

[tex]x^{4+2/3}[/tex]

[tex]x^{6/3}[/tex]

[tex]x^{2}[/tex]

Answer: A

Step-by-step explanation:

Meter

Answer:

A) Meter

Step-by-step explanation:

Pounds is not a metric unit, pounds is used in the english system or the customary system

Grams is used to measure mass

Liters are used to measure volume

There are kilometers (km) meters (m) and centimeters (cm) as well as other units of measurements for length in the metric system, which is used in most parts of the world.

Hope this helps :-)

Answer:

12.5

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

If the number after the place you are trying to round is less than five it doesn't change.  If it is five or higher, the number goes up by one.

Answer:hope this helps

0.75x + 3 = 0.25x + 5.25

Constants are $3 and $5.25 respectively

Topping costs $0.75 and $0.25 respectively

To have same cost the toppings number would be different as cost is different.

Suppose the number of toppings is x in one shop and y in the other, then the spending if same, we get this equation:

0.75x + 3 = 0.25y + 5.25

Constants are $3 and $5.25 respectively