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Trava [24]
3 years ago
13

How do you solve question 43 and 44?

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
<1=90=3y-6
3y=96
y=96:3
y=32
9x=6z=90
x=10
z=90:6
z=15

44. BD=AC
     2x-1+3y+5=4x-y+1
     2x+3y+4=4x-y+1
      3y+y+4-1=4x-2x
       4y+3=2x
       3y+5=2x-1
        3y+5=(4y+3)-1
         3y+5=4y+2
          5-2=4y-3y
          y=3
2x=4y+3=4*3+3=15
   x=15:2
x=7,5
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Can anyone help with the answers to all these questions with an explanation please?
saveliy_v [14]

ANSWER:

1) 25.70 cm 2) 30.84 cm 3) 10.71 km 4) 1.07 km 5) 6.71 cm 6) 10.07  mm

EXPLANATION:

<em>1. Know that the circumference formula for a full circle is:</em>

C = 2\pi r

The value of pi (\pi) = 3.14

The radius (r) will be given in the diagrams.

<em>2. Now we can figure out the perimeters. </em>

<u>Shape One: Semi-circle</u>

C = 2 x 3.14 x 5

C = 31.4 cm

Divide the circumference by 2 because it is a semi-circle. Then add 10 cm to this (because the flat side is 10 cm).

P = \frac{31.4}{2} +10

P = 25.7 cm ≈ 25.70 cm

<u>Shape Two: Semi-circle</u>

C = 2 x 3.14 x 6 (the picture shows the diameter so we need to half that to get the radius)

C = 37.68 cm

Divide the circumference by 2 because it is a semi-circle. Then add 12 cm to this (because the flat side is 12 cm).

P = \frac{37.68}{2}+12

P = 30.84 cm

<u>Shape Three: Quadrant</u>

C = 2 x 3.14 x 3

C = 18.84 km

Divide the circumference by 4 because it is a quadrant. Then add 6 km to this (because the two flat sides are 3 km each and so it is 6 km total).

P = \frac{18.84}{4} +6

P = 10.71 km

<u>Shape Four: Quadrant</u>

C = 2 x 3.14 x 0.3

C = 1.884 km

Divide the circumference by 4 because it is a quadrant. Then add 0.6 to this (because the two flat sides are 0.3 km each and so it is 0.6 km total).

P = \frac{1.884}{4} + 0.6

P = 1.071 km ≈ 1.07 km

<u>Shape Five</u>

C = 2 x 3.14 x 1

C = 6.28 cm

For this shape, we need to subtract the circumference of the missing sector from the circumference of the full circle to obtain the circumference for this shape. So, the circumference for the shape would be:

C =  6.28 - \frac{6.28}{4}

C = 6.28 - 1.57

C = 4.71 cm

Then add the flat sides (1 cm + 1 cm = 2 cm) to this circumference to get the perimeter.

P = 4.71 + 2

P = 6.71 cm

<u>Shape Six</u>

C = 2 x 3.14 x 1.5 (Divide the 3 mm diameter by 2 to get the radius)

C = 9.42 cm

Do the same thing you did for Shape 5.

C = 9.42 - \frac{9.42}{4}

C = 7.065 mm

Then add the flat sides (1.5 + 1.5 = 3) to this circumference.

P = 7.065 + 3

P = 10.065 mm ≈ 10.07 mm

7 0
2 years ago
For every 3 laps that Jackie swims, Ronnie swims 4 laps. During practice, they swam a combined total of 63 laps. How many laps d
Flura [38]

Answer:

36 laps Ronnie swim during practice .

Step-by-step explanation:

Let us assume that the laps that Ronnie swims be x .

Let us assume that the laps that Jackie swims be y .

As given

For every 3 laps that Jackie swims, Ronnie swims 4 laps.

i.e

3 × laps that Ronnie swims = 4 × laps that Jackie swims

3 × x = 4 × y

3x = 4y

Equation becomes

x + y  = 63

Thus by using 3x = 4y .

y = \frac{3x}{4}

Thus

x +\frac{3x}{4} = 63

4x + 3x = 63 × 4

7x = 252

x = 36

Put the value of x in the equation x + y  = 63

36 + y = 63

y = 63 - 36

y = 27

Therefore the 36 laps Ronnie swim during practice .

4 0
3 years ago
Marisa begins raising rabbits on her farm. She starts with 3 rabbits and records the number of rabbits each month.
Nady [450]

Answer:

yes because you can do 3(2)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
12x12x13x14x8=?<br> I'm trying to find the best answer for this one
Bezzdna [24]

Answer:

209,664

Step-by-step explanation:

4 0
3 years ago
Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even.
Artist 52 [7]

The number of units of x that must be sold to break even is 12 units.

Explanation:

It is given that the cost function C(x) is given by

C(x)=9000 x+72,000

Also, the revenue function R(x) is given by

R(x)=15,000 x

The break even point can be determined by equating the cost function and the revenue function.

Thus, we have,

15,000 x=9000x+72000

Subtracting both sides by 9000x , we get,

6000x=72000

Dividing both sides by 6000 , we have,

x=12

Thus, it takes 12 units to be sold to break even.

Hence, the number of units of x that must be sold to break even is 12 units.

7 0
2 years ago
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