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katrin [286]

2 years ago

2=16\\" alt="\sqrt{x} \sqrt{x} ^2=16\\" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

dsp732 years ago

4 0

Answer:

<h3>ຂ້ອຍບໍ່ເຂົ້າໃຈຂໍອະໄພ</h3>

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Anyone good at equation of straight lines? (Addmaths) help me!

SSSSS [86.1K]

Y = mx + c

where:

m is the gradient

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Can you form a triangle with angles that measure 70,90 and 20°

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Yes you can form a triangle with those angles

Step-by-step explanation:

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3 years ago

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Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.

Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 % i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × $(1+\frac{r}{n})^{nt} - 1) / (r/n)$

now put all these value in equation

future payment = $ 100 × $(1+\frac{0.015}{12})^{12*45} - 1) / (0.015/12)$

future payment = $ 77056.92

payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000

total interest = future payment - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0

3 years ago

Use the scale factor to compare the perimeter and area of the original figure of the enlarged figure. Complete the statements ab

Reika [66]

Answer:

Part 1) The scale factor is 2

Part 2) The perimeter of the enlarged rectangle is 19 units

Part 3) The area of the enlarged rectangle is 19.5 square units (the area of the enlarged rectangle is 4 times the area of the original rectangle)

Step-by-step explanation:

we know that

A dilation is a non-rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

The ratio of its perimeter is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

<em>Find the scale factor</em>

Let

z ---> the scale factor

$z=\frac{3}{1.5}=2$

step 2

Find the perimeter of the enlarged rectangle

Multiply the perimeter of the original rectangle by the scale factor

The perimeter of the original rectangle is

$P=2(1.5+3.25)=9.5\ units$

The perimeter of the enlarged rectangle is

$9.5(2)=19\ units$

step 3

Find the area of the enlarged rectangle

Multiply the area of the original rectangle by the scale factor squared

The area of the original rectangle is

$A=(1.5)(3.25)=4.875\ units^2$

The area of the enlarged rectangle is

$4.875(2^2)=19.5\ units^2$

The area of the enlarged rectangle is 4 times the area of the original rectangle

step 4

Find the value of b

Multiply the corresponding side of the original rectangle by the scale factor

$b=3.25(2)=6.50\ units$

Verify the perimeter of the enlarged rectangle

$P=2(3+6.50)=19\ units$ ----> is ok

Verify the area of the enlarged rectangle

$A=3(6.50)=19.5\ units^2$ ---> is ok

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Nicola claims that the product of any fraction and 1616 will always be less than 1616. complete the sentences below about nicola

LUCKY_DIMON [66]

Can't see the answer choices but Nicola is wrong. 16 * (12/8) = 24>16

4 0

3 years ago