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2 years ago

Spatial thinking unit worksheet 2

Mathematics

1 answer:

olganol [36]2 years ago

7 0

1.EB is parallel to FC because they are on opposite sides and will never touch

2.scalene triangle

right angle

isosceles

3. supplementary angles add to 180 degrees

180-62=118

complementary angles add up to 90

90-62=28

4. 180 - 68 - 38 = 74

5. 6 sides=hexagon

8. sides= octagon

9. sides = nonagon

10. supplementary angles add to 180 degrees

so angle EOC is supplementary to EOF

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The probability of snow is about 0.75

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The probability of choosing a winning card from a stack of cards is 5.3%.

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If it is only winning or losing cards, then you can subtract 5.3 from 100 because probability is out of 100%

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5. You are making your Halloween costume this year. You have 6 yards of fabric and the pattern says that you need to cut it in t

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Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

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Second piece= x+2 feet

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6 yards = 18 feet

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x + (x+2) = 18

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3 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

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2 years ago

Read 2 more answers

Sont au

Sonbull [250]

Answer:

Step-by-step explanation:

3 0

3 years ago