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Marina CMI [18]
3 years ago
5

A circular flower garden has a radius of 19 ft that

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
7 0

Step-by-step explanation:

area \: of \: garden = \pi {r}^{2}  \\  = 3.14 \times  {19}^{2}  \\  = 1133.54 \:  {ft}^{2}  \\ number \: of \: bags =  \frac{area \: of \: garden}{area  \: covered\: by \: bag}  \\  =  \frac{1133.54}{32}  \\  = 36 \: bags

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A, B, and C are midpoints of ∆XYZ. What is the length of cy
iogann1982 [59]

Answer:

XY=36\ units

Step-by-step explanation:

<u><em>The correct question is</em></u>

A, B, and C are midpoints of ∆XYZ. What is the length of XY

we know that

The<u><em> Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

step 1

Find the length of YZ

AB=\frac{1}{2}YZ

we have

AB=24\ units

substitute

24=\frac{1}{2}YZ

solve for YZ

YZ=48\ units

step 2

Find the length of XY

Applying Pythagoras Theorem in the right triangle XYZ

XZ^2=XY^2+YZ^2

substitute the given values

60^2=XY^2+48^2

solve for XY

3,600=XY^2+2,304

XY^2=3,600-2,304

XY^2=1,296

XY=36\ units

Applying the Midpoint Theorem

BC=\frac{1}{2}XY -----> BC=\frac{1}{2}(36)=18\ units

AC=\frac{1}{2}XZ -----> AC=\frac{1}{2}(60)=30\ units

5 0
2 years ago
Solve for x.Question options:A) 11 B) 13 C) 12 D) 10
babymother [125]

Line YZ is the midsegment of triangle QRS because it connects the midpoints of lines QR and RS. We would solve for x by appying the midsegment theorem which states that the midsegment is half the length of the third side or base. This means that

YZ = 1/2(QS)

x + 2 = 1/2 * (3x - 8)

2(x + 2) = 3x - 8

By opening the parenthesis, we have

2x + 4 = 3x - 8

Collecting like terms, we have

3x - 2x = 4 + 8

x = 12

Option C is correct

7 0
1 year ago
Help please are fractions help!!!!! thanks
Brrunno [24]

Answer:

See below

Step-by-step explanation:

To solve a proportion ( an equation with two equal fractions), cross multiply by  multiplying numerator and denominator of each fraction.

8/5=24/h                               8h = 5*24                    8h = 120              h=15

h/8=24/5                               5h = 8*24                    5h = 120              h= 24

h/5=24/8                               8h =5*24                     8h = 120              h=15

8/5=h/24                               5h = 8*24                    5h = 120              h=24

8/24=5/h                               8h = 24*5                    8h = 120              h = 15

5/8=h/24                               8h = 5*24                    8h =120               h = 15

h/5=8/24                             24h =5*8                      24h = 40             h = 5/3

3 0
3 years ago
Which statement about this data distribution is NOT true?
MrRa [10]

Answer:

c is the correct answer brainliest plz

5 0
3 years ago
Determine the number of liters that are in 150 kiloliters
Feliz [49]
1Kl = 1000 l

Therefore,

150 Kl = 1000 * 150 = 150000 l
3 0
3 years ago
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