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2 years ago

Which expression is equivalent to 1/2 (2+ 3x – 6)?

Mathematics

2 answers:

AVprozaik [17]2 years ago

8 0

The answer is B.....

KiRa [710]2 years ago

5 0

I think it's B......

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To find the height of a pole, a surveyor moves 160 feet away from the base of the pole and then, with a transit 6 feet tall, mea

Artyom0805 [142]

Answer:

306.8 feet

Step-by-step explanation:

Refer the attached figure .

A surveyor moves 160 feet away from the base of the pole i.e. ED = 160 m

Referring the image .

AC=ED=160 m

A transit i.e. AE is 6 feet tall.

AE = CD=6 feet

With a transmit the angle of elevation to the top of the pole to be 62° i.e. ∠BAC = 62°

To Find BC , use tigonometric ratio.

$Tan\theta = \frac{Perpendicular}{Base}$

$Tan 62^{\circ}=\frac{BC}{AC}$

$Tan 62^{\circ}=\frac{BC}{160}$

$1.88*160=BC$

$300.8=BC$

Now, the height of the pole = BC+CD =300.8+6=306.8 feet

Hence the height of the pole is 306.8 feet

7 0

2 years ago

-0.2x^2+0.9x+0.6=y What's the vertex form for this equation?

hjlf

Answer: y = -0.2(x - 2.25)² + 1.6125

Step-by-step explanation:

$y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125$

6 0

3 years ago

A cell phone tower and a fence are on the same property. the fence is 8 feet tall and has a shadow that measures 14.5 feet. the

arlik [135]

Answer:

40 feets

Step-by-step explanation:

Given that:

Height of fence = 8 feets

Shadow of fence = 14.5 feets

Shadow of cell phone tower = 72.5 feets

Height of cell phone tower = x

Height of fence = shadow of fence

Height of tower = shadow of tower

8 feets= 14.5 feets

x feets = 72.5

Cross multiply :

(14.5 * x) = (72.5 * 8)

14.5x = 580 feets

x = 580/14.5

x = 40 feets

Hence, the height of the cell phone tower is 40 feets

3 0

2 years ago

Abby uses base 10 blocks to show 1,109. She has no thousands cubes and only 9 flats, as shown. Draw longs and units on the chart

Vinvika [58]

Answer:

20 longs, 9 units more than the 9 flats

Step-by-step explanation:

If Abby has 9 flats, she has 900 blocks of the 1109 she needs. The remaining 209 can be represented by ...

20 longs

9 units

_____

Comment on the question

We cannot see the model Abby has put together so far, so we don't know exactly what it takes to finish it. Any longs or units she already shows must be subtracted from the numbers above.

4 0

2 years ago

What is the constant of proportionality in the equation y=12.9x? Enter your answer as a decimal

forsale [732]

Answer:

The constant of proportionality would just be 12.9.

Step-by-step explanation:

This equation is already simplified enough to were the constant of proportionality is just the number attached to the x.

3 0

2 years ago