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2 years ago

In the figure shown below, point D is the midpoint

Mathematics

1 answer:

adelina 88 [10]2 years ago

6 0

Answer:

Step-by-step explanation:

by using 3x+2=6x-4 you can find that x=2. then plug it back in to find d=8

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A tank 4/5 full needs 75 litres to fill it up.how many litres does it hold when full

Ann [662]

X - the volume of the tank

$\frac{4}{5}x+75=x \\
75=x-\frac{4}{5}x \\
75=\frac{1}{5}x \ \ \ |\times 5 \\
x=375$

The tank holds 375 liters when full.

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3 years ago

Tan^2 A/1+cot^2 A + cot^2 A/1+tan^2 A=sec^2 A cosec^2 A-3

omeli [17]

$\frac{tan^2x}{1+cot^2x}+\frac{cot^2x}{1+tan^2x}=sec^2x\ cosec^2x-3\\\\L=\frac{tan^2x(1+tan^2x)+cot^2x(1+cot^2x)}{(1+cot^2x)(1+tan^2x)}=\frac{tan^2x+tan^4x+cot^2x+cot^4x}{1+tan^2x+cot^2x+tanxcotx}\\\\=\frac{tan^2x+cot^2x+tan^4x+cot^4x}{1+tan^2x+cot^2x+1}=\frac{tan^2x+2+cot^2x+tan^4x-2+cot^4x}{tan^2x+cot^2x+2}$

$=\frac{(tanx+cotx)^2+(tan^2x-cot^2x)^2}{(tanx+cotx)^2}=\frac{(tanx+cotx)^2}{(tanx+cotx)^2}+\frac{(tan^2x-cot^2x)^2}{(tanx+cotx)^2}\\\\=1+\frac{(tanx-cotx)^2(tanx+cotx)^2}{(tanx+cotx)^2}=1+(tanx-cotx)^2\\\\=1+tan^2x-2tanx\ cotx+cot^2x=tan^2x+cot^2x+1-2\\\\=\left(\frac{sinx}{cosx}\right)^2+\left(\frac{cosx}{sinx}\right)^2-1=\frac{sin^2x}{cos^2x}+\frac{cos^2x}{sin^2x}-1=\frac{sin^4x+cos^4x}{sin^2x\ cos^2x}-1$

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3 years ago

Can someone please help me with this one? I’m very confused, how can you solve for the width if the problem doesn’t tell you wha

Marizza181 [45]

Answer:

A. (2x-3)/2

Step-by-step explanation:

Performing the long division indicated by the perimeter expression, you find ...

perimeter = (2x -3) + (10x +6)/(x^2 +2x)

Comparing this to the formula for the perimeter ...

perimeter = 2W +2L

where L is said to be of the form (ax +b)/(x^2 +2x)

we can match terms in the perimeter expression to see that ...

2W = 2x -3

2L = (10x +6)/(x^2 +2x)

The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...

W = (2x -3)/2 . . . . . . . matches choice A

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3 years ago

Maggie wants to know how many students in her school enjoy watching sports on TV. She asks all 25 students in her math class and

RSB [31]

No, it is not a valid inference because her classmates do not make up a random sample of the students in the school.

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2 years ago

Read 2 more answers

Help me with this....After drawing a histogram....How do u find the class in which the median lies in a histogram....

Ann [662]

Answer:

Get all the values of the histogram and put them in order:

For example 2,5,7,1,7,3 becomes 1,2,3,5,7,7 and then you get the middle number, which is in this case (3+5)/2=3.5

Then see which of the readings lie on 3.5.

Step-by-step explanation:

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2 years ago

In the figure shown below, point D is the midpoint​

In the figure shown below, point D is the midpoint