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Marina CMI [18]

3 years ago

10

James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual helicopter is 56 inches long. What is the

helicopters actual width, if we assume the models proportions are accurate?

1 answer:

Dominik [7]3 years ago

4 0

56/8=7. so we multiply 7 by 7.7*7=49; the helicopter is 49 in. wide

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Fred buys a video game disk for $8 after a 20% discount. what is the original price?

olga_2 [115]

I believe this is the answer, im so sorry if im wrong

8 dollars is discount
100-20=80 so
8 dollars =80%
1 dollar=20%
80+20=100
8 + 1 = 9

original price=$9

4 0

3 years ago

Factor -7x3 + 21x2 + 3x - 9 by grouping. What is the resulting expression?

irga5000 [103]

Answer:

$(x-3)(-7x^2+3)$ is the resulting expression after grouping

Step-by-step explanation:

Given:

$-7x^3+21x^2+3x-9$

Now taking common $-7x^2$ from 1st 2 numbers and and 3 common from last we get

$-7x^2(x-3)+3(x-3)$

Now taking x-3 common from both numbers we get

$(x-3)(-7x^2+3)$ which is the final equation after grouping

8 0

3 years ago

A ball is thrown into the air. The path it takes is modeled by the equation: -3t+24t = h, where t is the time in seconds and h i

astra-53 [7]

Given:

The given equation is:

$-3t^2+24t=h$

Where, t is the time in seconds and h is the height of the ball above the ground, measured in feet.

To find:

The inequality to model when the height of the ball is at least 36 feet above the ground. Then find time taken by ball to reach at or above 36 feet.

Solution:

We have,

$-3t^2+24t=h$

The height of the ball is at least 36 feet above the ground. It means $h\geq 36$ .

$-3t^2+24t\geq 36$

$-3t^2+24t-36\geq 0$

$-3(t^2-8t+12)\geq 0$

Splitting the middle term, we get

$-3(t^2-6t-2t+12)\geq 0$

$-3(t(t-6)-2(t-6))\geq 0$

$-3(t-2)(t-6)\geq 0$

The critical points are:

$-3(t-2)(t-6)=0$

$t=2,6$

These two points divide the number line in 3 intervals $(-\infty,2),(2,6),(6,\infty)$ .

Intervals Check point $-3(t-2)(t-6)\geq 0$ Result

$(-\infty,2)$ 0 $(-)(-)(-)=(-)$ False

$(2,6)$ 4 $(-)(+)(-)=+>0$ True

$(6,\infty)$ 8 $(-)(+)(+)=(-)$ False

The inequality is true for (2,6) and the sign of inequality is $\geq$ . So, the ball is above 36 feet between 2 to 6 seconds.

$6-2=4$

Therefore, the required inequality is $-3t^2+24t\geq 36$ and the ball is 36 feet above for 4 seconds.

3 0

3 years ago

What is the value of y?

Xelga [282]

Answer:

y = 54

Step-by-step explanation:

We know the sum of the angles of a triangle are 180

72+y+y = 180

Combine like terms

72 + 2y = 180

Subtract 72 from each side

72-72 +2y = 180-72

2y = 108

Divide each side by 2

2y/2 = 108/2

y = 54

7 0

3 years ago

Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,

olya-2409 [2.1K]

A= 2(w l + h l + h w) = 224m^2

7 0

3 years ago