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Fittoniya [83]
3 years ago
7

Choose True or False for each statement.

Mathematics
1 answer:
madreJ [45]3 years ago
7 0

Answer:

1) True

2) True

3) False

4) True

Step-by-step explanation:

1) You can compare irrational numbers using rational approximations

The above statement is true as given two irrational numbers which can be expressed in decimal format, by rounding up the numbers to a certain number of decimal places, the values of the irrational numbers will be different

2) Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol

The above statement is true as the the values of the numbers under the radical symbol are directly proportional to the square root

3) You cannot compare the value of rational and irrational numbers

The above statement is false because the value of an irrational number can be found between two rational numbers. Therefore, the value of an irrational number is higher than the rational number that precedes it on the left of a number line

4) The closer the numbers being compared, the more decimal places you need to use

The above statement is true as a higher level of detailed value of the numbers being compared will be required given the closeness in value of the numbers being compared.

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The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
Ya, calculus and related rates, such fun!




everything is changing with respect to t

altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min

area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min

base=db/dt

alright

area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt

ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b

so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min

therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt

the base is decreasing at 1.6cm/min
4 0
3 years ago
Help me plz thanks my friend
NikAS [45]

Answer:

I believe the answer would be 21.

Step-by-step explanation:

the shadow of the tall flag is three times the small flag, so the height of the flag should also be three times the height.  which is 21

6 0
3 years ago
1, 4, 13, 40, 121 what is the next number in the pattern
mart [117]
Add powers of 3.
1 + 3 = 4
4 + 9 = 13 = 4 + 3^2
13 + 27 = 40 = 13 + 3^3
40 + 81 = 121 = 40 + 3^4
Now you need to add 3^5 to 121.

121 + 3^5 = 121 + 243 = 364
7 0
3 years ago
Mr.Rosenbaum purchases a $75 pair of shoes while on vacationin georgia where the sales tax os 4 percent. a.what is the sales tax
IgorLugansk [536]
The shoes will end up being $77.96
8 0
3 years ago
Read 2 more answers
Which two expressions is equivalent to 8(5+x)
Natali [406]

Answer: 8(x+5) 8x + 40

40 + 8x

Step-by-step explanation:

Distribute the 8 by multiplying by each value inside the parentheses.

Commutative property in addition and multiplication allows the terms to be in reversed order.

4 0
3 years ago
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