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Karo-lina-s [1.5K]
3 years ago
5

In the diagram below of RST. L is a point on RS, and M is a point on RT, such that LM parallel to ST

Mathematics
1 answer:
hichkok12 [17]3 years ago
5 0

Answer:

ST is 28

Step-by-step explanation:

Using the similarity formla

RL/LS  = LM/ST

3/12 = 7/x+2

3(x+2)=84

x +2= 84/3

x+2 =  28

x= 28-2

x = 26

ST = x+2

ST = 26+2

ST = 28

Hence the length of ST is 28

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Find the circumference and area of a circle with the diameter of 14 inches
VLD [36.1K]

Answer:

Circumference = PI * diameter

Circumference = 3.14159 * 14

Circumference = 43.98226  inches

Area = PI * radius^2

Area = PI * 7^2

Area = PI * 49

Area = 153.9380400259  square inches

Step-by-step explanation:

5 0
4 years ago
The radius of a sphere is multiplied by 1/7. What effect does this have on the volume of the sphere?
Cloud [144]

Answer:

The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343

Step-by-step explanation:

In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.

Mathematically, the volume of a sphere V can be calculated using the formula

V = 4/3 * π * r^3

Now multiplying the radius by 1/7, the new radius will be r/7

Thus the new volume here will be

V2 = 4/3 * π * (r/7)^3

V2 = 4/3 * π * (r^3)/343

Thus we can conclude that the value of the volume will be decreased by a factor of 343

Meaning the ratio of the old volume to the new volume will be 1 to 343

3 0
3 years ago
Read 2 more answers
An auditorium has 60 rows of seats. The first row contains 50 seats. As you move to the rear of the auditorium, each row has 3 m
cupoosta [38]

Answer:

There are 230 seats in the auditorium

Row 51 contains 203 seats.

Step-by-step explanation:

Equation: y = 3x + 50

3x is the rate at which the seats are and 50 is the the starting point.

y = 3(51) + 50

y = 203

Row 51 contains 203 seats.

y = 3(60) + 50

y = 180 + 50

y = 230

There are 230 seats in the auditorium

4 0
4 years ago
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38 divided by 98382??
Brrunno [24]

Answer:

the answer is a decimal :

0.000386249517

Step-by-step explanation:

7 0
3 years ago
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there are 75 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave
Aloiza [94]

Answer:

30 students

Step-by-step explanation:

Yesterday: 1/3 of the 75 students (75 / 3) = 25 students

There are now 50 students remaining to give their speeches.

Today: 2/5 of the 50 students (50 / 5 = 10 x 2 ) = 20 students

50 - 20 = 30 students remaining to give their speeches.

7 0
3 years ago
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