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Nitella [24]
2 years ago
6

1) A 60 cm length of wire is used to form a rectangle. The

Mathematics
1 answer:
andrew-mc [135]2 years ago
6 0

Answer:

Step-by-step explanation:

here's a somewhat answer, and how to solve it

lets assume that all "60 cm wire is used to make a rectangle"

h = a

w = a + 3

the perimeter of the rectangle is

a + a + a + 3 + a + 3 = 60

4a = 54

a = 13.5

-------------------------------

height = 13.5

width = 16.5

BUT, the problem says "not all the wired is used"

how much? 59? 58? 57.... the lowest value for the shortes side is 1

h = 1

w = 1 + 3 = 4  

perimeter : 1 +4 + 4 + 1 = 6cm

if this is not good enough. please make a comment below to delete my answer

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The floor of the school art closet is being tiled. The closet is shaped like a parallelogram. The parallelogram has a base of 17
andrey2020 [161]
First we need to find the total area of the floor. Dividing the total area of floor by area of one package of tile will give us the number package of tiles that are needed to cover the floor.

The shape of floor is parallelogram with base 17.5 feet and height of 6 feet.
Area of parallelogram is the product of its base and height.

So,

Floor Area = 17.5 x 6 = 105 ft²

Area covered by 1 package of tile = 5 ft²

So, number of package of tiles that are needed = 105/5 = 21 package of tiles.

21 packages of tiles will be needed to fully tile the room.
7 0
3 years ago
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated b
Gala2k [10]

Answer:

214.5 seconds or less time will qualify individuals for such training

Step-by-step explanation:

given that the time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 150 sec and a standard deviation of 25 sec.

i.e. X the time that it takes a randomly selected job applicant to perform a certain task is N(150,25)

The fastest 10% are the ones who are above the 90th percentile

We know 90th percentile for Z std normal score is 1.28

Corresponding X score would be

x=\mu+1.28 \sigma\\X= 150+1.28(25)\\= 214.50

Round off to one decimal

214.5 seconds or less time will qualify individuals for such training

3 0
3 years ago
When the author observed a sobriety checkpoint conducted by the Dutchess County Sheriff Department, he saw that 676 drivers were
jek_recluse [69]

Answer:

The probability of drivers who are not intoxicated is P(I¯) and is given as 0.99411.

Step-by-step explanation:

As the event is indicated as I for the drivers who are intoxicated, the value of I¯ is for the drivers who are not intoxicated. Its value is calculated as follows

P(I¯)=1-P(I)

P(I¯)=1-0.00589

P(I¯)=0.99411

So the probability of drivers who are not intoxicated is P(I¯) and is given as 0.99411.

6 0
3 years ago
Jerry has 64 cupcakes. Jane has 5 more cupcakes. How many cupcakes does Jane and Jerry have together?
Alisiya [41]
64 + 5 = 69
69 + 64 = 133 cupcakes
4 0
3 years ago
Solve GHI. Round the answer to the nearest hundredth.
Sedaia [141]

Answer:

Part 1) HI=15\ units

Part 2)

Part 3) < I=28.07\°

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

GI^{2} =GH^{2}+HI^{2}

substitute the values and solve for HI

17^{2} =8^{2}+HI^{2}

HI^{2}=17^{2}-8^{2}

HI^{2}=225

HI=15\ units

Part 2) Find the measure of angle G

In the right triangle GHI

cos(G)=\frac{GH}{GI}

substitute the values

cos(G)=\frac{8}{17}

G=arccos(\frac{8}{17})=61.93\°

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

so

substitute the values

61.93\°+90\°+< I=180\°

< I=180\°-(61.93\°+90\°)=28.07\°

7 0
3 years ago
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