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hram777 [196]
3 years ago
14

A model airplane is 20 inches long and 4 inches wide. If the actual width of the airplane is 20 feet what is the lenght of the a

ctual airplane?
Mathematics
1 answer:
Kay [80]3 years ago
7 0
The airplane is 100 feet long because 5*4=20 so  
that would mean that 20*5=100
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Find the surface area of each figure. Round to the nearest tenth if necessary.​
Andre45 [30]

Answer:

365.7 km²

<em>hopefully this answer can help you to answer the next question.</em>

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3 years ago
11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola
lbvjy [14]

11. The given parabola has equation: f(x)=-3x^2-18x-35

We complete the square to have the function in the vertex form: f(x)=-3(x^2+6x)-35

f(x)=-3(x^2+6x+9)+3*9-35

f(x)=-3(x^2+6x+9)+27-35

f(x)=-3(x+3)^2-8

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12.  We know the graph of y=x^2  is a parabola that opens up and has its minimum point at the origin.

The range of this function is y\ge 0

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect y=x^2 and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

 14.  We want to find the zeros of x^2+21x=5x-63

x^2+21x-5x+63=0

x^2+16x+63=0

The factored form is (x+7)(x+9)=0

x=-7\:or\: x=-9

Ans: C. x = −7, −9

15. The given quadratic expression is 6x^2-17x+10

We split the middle term to obtain:

6x^2-12x-5x+10=0

We factor by grouping to get:

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(x-2)(6x-5)=0

Ans: D. 6x − 5

8 0
4 years ago
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Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles​
zalisa [80]

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

8 0
3 years ago
1/2x-2 <br> One half multiply negative 2
sattari [20]

Answer:

Step-by-step explanation:

11

5 0
3 years ago
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PLEASE HELP‼️‼️Drag the expression that is the most reasonable measurement for each object.
Afina-wow [57]

Answer:

<em>A. Length of a Tour Bus                       ↔     #2.      1.1 × 10¹ meters</em>

<em />

<em>B. Width of an apple                             ↔      #3.     4 × 10⁰ centimeters</em>

<em />

<em>C. Distance from Earth to a Satellite    ↔    #6.     8 × 10² kilometers</em>

<em />

<em>D. Thickness of a human hair               ↔     #5.      9 × 10¹ micrometers</em>

Explanation:

<u><em>A. Length of a tour bus.</em></u>

The length of a tour bus should be measured in meters. It sure is way less than 1 kilometer and way more than a few centimeters. It could be about some meters, more than 5 meters, may be between 10 meters and 15 meters.

The measurement in the box # 2. is 1.1 × 10¹ meters, which is equivalent to 1.1 × 10meters = 11 meters. Thus, this is a reasonable length.

<u><em>B. Width of an apple.</em></u>

The most appropiate unit to measure the width of an apple should be centimer. It certanly is shorter than 1 meter and bigger than 1 mm.

The width of an apple could be, more or less, around 8 centimeters. The only measurement in the boxes that is in that order is that in the box #3., 4 × 10⁰ centimeters, because 10⁰ = 1, so 4 × 10⁰ = 4 × 1 = 4centimeters.

<u><em>C. Distance from Earth to a Satellite</em></u>

The distance from Earth to a satellite should be measured in kilometers.

You can find in the internet that the distances of the satellites are between 700 kilometers and 36,000 kilometers.

The number in the box #1 is too big, in the order of ten trillions of kilometers, because one trillion is 10¹²; thus that is notreasonalbe (too big).

The number in the box #6 is  8 × 10² kilometers, which is equal to 8 × 100 = 800 kilometers.

Thus,  8 × 10² kilometers (box #6) is the most reasonable measurement for the distance from Earth to a Satellite

<u><em></em></u>

<u><em>D. Thickness of a human hair</em></u>

Of course, kilometers, meters, centimeters and even milimeters are units too big to measure the thickness of a human hair.

One micrometer is 10⁻⁶ meters or 10⁻³ milimeters.

In the internet you can find that diameter of the humar hairis in the range from 17 micrometers to 181 micrometers.

The measurement in the box #5. is 9 × 10¹ micrometers, which is equivalent to 9 × 10 = 90 micrometers.

Thus, 9 × 10¹ micrometers is the most reasonable measurement fot the thickness of a human hair.

7 0
3 years ago
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