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2 years ago

Segment VY is a midsegment of trapezoid FEDC. Find x.

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

8 0

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = $\frac{EF+CD}{2}$ , then

3x + 18 = $\frac{1}{2}$ (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

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Devonte used the change of base formula to approximate log Subscript 8 Baseline 25. Which expression did Devonte use?

anyanavicka [17]

Answer:

The last choice: log 25 Over log 8

Step-by-step explanation:

Because the change of base formula says:

log (subscript 8) of 25 = log (25) / log (8)

let log be the Common Log without subscripts

3 0

2 years ago

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Find the volume of the solid figure

ololo11 [35]

8x4x11 - (4x1x3)
352 - 12
= 340

The answer is 340yd^3

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3 years ago

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A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = <u>193.9 degrees (1 dp)</u>

And the distance it travels is <u>31.2 km (1 dp)</u>

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3 years ago

a briefcase selling for rs 1500 was marked down by 20% for a special promotion. it was later marked down further by 10% of the p

stiv31 [10]

Profit = 8%

If the briefcase was marked down 20% from 1500 you multiply 1500 x .2 = 300 in order to calculate the discount.

Calculate the discounted price:

1500 - 300 = 1200

Calculate 10% discount of 1200:

1200 x .1 = 120

Calculate the sales price:

1200 - 120 = 1080

The last step is to calculate the profit/loss is the cost is 1000.

The briefcase sold for 1080 and the company paid 1000 for it, so there was a profit of 80.

The percentage is calculate by dividing 80/1000 = 8% profit

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2 years ago

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Linear inequalities with two variables have infinitely many ordered pair solutions, which can be graphed by shading in the appropriate half of a rectangular coordinate plane. To graph the solution set of an inequality with two variables, first graph the boundary with a dashed or solid line depending on the inequality.

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3 years ago