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LenKa [72]
1 year ago
6

Lesson 15 Practice Problems

Mathematics
1 answer:
krok68 [10]1 year ago
5 0

Answer:

Step-by-step explanation:

Here, the region of the triangle with a base 4 cm and a level 3 cm.

That is, the region of a triangle=

1/2 × Base × Level

=1/2 × 4 × 3

=6 sq cm

The region of a square shape with a length 5 cm and a breadth 4 cm

The region of a square shape = Length × breadth

=5 × 4 =20 sq cm

The region of a square shape with a length 4 cm and a width 3 cm

=4 × 3 =12 sq cm

The region of a square with the side 4 cm.

The region of a square = side²=4²=16 sq cm

The absolute surface of the given polyhedron =6 + 6 + 20 + 12 + 16

=60 sq cm

From the above estimation, it is distinguished as a region of the triangle that is determined incorrectly.

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Answer:

1.  y=-x

2. y=-3/2x-2

3. x=4

4. y=-2x-1

Step-by-step explanation:

slope intercept form is y=mx+b with mx being the slope and b being the y intercept

if its parallel it has to have the same slope.

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3 0
3 years ago
6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
3 years ago
How do you do this?<br> Please help x
kirill115 [55]

Answer:

Step-by-step explanation:

a). Given equation is y = 3x - 4

   Table for the input-output values is,

   x          -1           0          1            2          3

   y          -7          -4         -1           2          5

Now we can plot these points on the graph (graph attached).

b). Equation is y = -2x + 3

   Table for the input-output values will be,

  x       -1          0         1        2       3

  y       5          3         1        -1       -3

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3 years ago
Suppose an opaque jar contains 3 red marbles and 10 green marbles. The following exercise refers to the experiment of picking tw
kow [346]

Answer:

\frac{5}{13}

Step-by-step explanation:

Given,

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Green marbles = 10,

So, the total marbles = 3 + 10 = 13,

\because \text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}

Since, here replacement is not allowed,

Thus, the probability of getting a green marble and a red marble

= first red and second green + first green second red

=\frac{3}{13}\times \frac{10}{12}+\frac{10}{13}\times \frac{3}{12}

=2\times \frac{3}{13}\times \frac{10}{12}

=\frac{30}{78}

=\frac{5}{13}

Note : The probability of getting a green marble first and a red marble second

= \frac{10}{13}\times \frac{3}{12}

=\frac{30}{156}

=\frac{5}{26}

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4 years ago
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