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Cloud [144]
2 years ago
5

A pre-image was translated twice. The first translation moved the triangle left 2 units and up 5 units. The second translation f

ollowed the transformation rule (x, y) → (x − 4, y − 1). Write one transformation rule that combines the two translations into one translation
Mathematics
1 answer:
nlexa [21]2 years ago
7 0

Answer: I don’t know

Step-by-step explanation:

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Paddy and Anna each invest $2000 for 5 years.
Serga [27]

Answer: r= 1.22

Step-by-step explanation:

Formula for amount with simple interest = P(1+rt)

, where

P= principal value , r= rate of interest , t = time.

Given: P=  $2000, t= 5 years, r= 1.25% = 0.0125

A=2000(1+0.0125\times5)\\\\=2000(1.0625)=2125

Formula to compute compound amount : P(1+r)^t

=2000(1+r)^5

When both have same worth then

2000(1+r)^5=2125\\\\\\ (1+r)^5=\dfrac{2125}{2000}\\\\\\ (1+r)^5=1.0625

taking log on both sides , we get

5\ln (1+r)=\ln 1.0625\\\\\\ 5\ln (1+r)=0.0606246\\\\\\ \ln (1+r)=0.012125\\\\\\ 1+r=e^{0.005266}\\\\\\ 1+r=1.0122\\\\ r=0.0122\\\\ \\ r=1.22\%

Hence, Value of r= 1.22

6 0
3 years ago
A merchant has 120 litres and 180 litres of two kinds of oil. He wants to sell the oil by filing the two kinds of equal volumes.
ANEK [815]

Answer:

HCF of 120 and 180 is 60 and hence a measuring tin of 60 litre volume should be bought.

3 0
3 years ago
AB←→||CD←→. Find the measure of ∠BFG.
Colt1911 [192]

Answer:

Value of ∠ BFG = 135°

Step-by-step explanation:

Given:

AB || CD

∠ AFG = (3x + 15)°

∠ FGD = (5x - 5)°

Find:

∠ BFG

Computation:

We know that;

∠ AFG = ∠ FGD

3x + 15 = 5x - 5

3x - 5x = - 5 - 15

- 2x = - 20

2x = 20

x = 10

Value of ∠ AFG = 3x + 15

Value of ∠ AFG = 3(10) + 15

Value of ∠ AFG = 45°

∠ BFG = 180° - Value of ∠ AFG

∠ BFG = 180° - 45°

∠ BFG = 135°

Value of ∠ BFG = 135°

8 0
2 years ago
Fifty- three students from 32 different schools signed up for a multi-classroom project. About how many students signed up for t
inessss [21]
Hello there.

<span>Fifty- three students from 32 different schools signed up for a multi-classroom project. About how many students signed up for the project? 

</span><span>B. about 1,800 students
</span>
5 0
3 years ago
Read 2 more answers
Find the value of two numbers if their sum is 112 and their difference is 66.
snow_lady [41]

Answer:

x+y = 112 ........ (1)

x-y = 62............ (2)

from (1) and (2)

2x = 174

x = 174/2

x = 87

sub x = 87 in (1)

x+y = 112

87+y = 112

y = 112 - 87

y = 25

so the numbers are 87 and 25

Step-by-step explanation:

8 0
2 years ago
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