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2 years ago

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Mathematics

1 answer:

hoa [83]2 years ago

3 0

A scaled copy of a shape will be similar to the shape.

The side length m is 4

From the attached image,

All sides of ABCD are the same (i.e. 10)

Since $ABCD \sim QRST$

It means that the side lengths of QRST will also be the same

Side $QT = 4$

This means that:

$m =QT$

So, we have:

$m = 4$

You might be interested in

Apply the laws of exponents, calculate the result and express the result in scientific notation, and as a decimal: (1.5·10^3)^2

sertanlavr [38]

Answer:

$2.25 \times 10^{6}$

2250000

Step-by-step explanation:

We have to express the result of $(1.5 \times 10^{3} )^{2}$ in scientific notation and as a decimal.

Now, $(1.5 \times 10^{3} )^{2}$

= $(1.5 \times 10^{3} ) \times (1.5 \times 10^{3} )$

= $(1.5 \times 1.5) \times (10^{3} \times 10^{3} )$

= $2.25 \times 10^{(3+3)}$

= $2.25 \times 10^{6}$

So, this is the answer in scientific notation.

And in decimal notation, it can be written as 2250000.

(Answer)

7 0

3 years ago

Which table goes with the graph?

ad-work [718]

Answer:

table C

Step-by-step explanation:

you can just check the given coordinates:

(-1,0) (0,1) (1,2) (2,3)

which corresponds to the values in table C

5 0

3 years ago

Jim cash the paycheck and went shopping he spent 3/8 of it on a mower 2/5 of it on at chainsaw and 180 On Tools if he has 270 le

Sever21 [200]

Declaration

Let the original amount of the paycheck be x

Equation

Paycheck - cost of mower - cost of chainsaw - 180 = 270

x - [(3/8)x + (2/5)x + 180] = 270

Solve

Change 3/8 and 2/5 to a common denominator and add.

3*5/8*5 + 2*8/5*8 = 15/40 + 16/30 = 31/40

x - [(31/40)x + 180] = 270 Remove the outer brackets

x - (31/40)x - 180 = 270 Evaluate the "x"s

40/40x - 31/40x - 180 = 270

9x/40 - 180 = 270 Add 180 to both sides

9x/40 = 180 + 270

9x/40 = 450 Multiply by 40

9x = 18000 Divide by 9

x = 18000/9

x = 2000

His paycheck was 2000 dollars.

8 0

3 years ago

If f(n)=f(n-1)+8 and f(1)=7, what is f(50)

Marina CMI [18]

$f(n)=f(n-1)+8=f(n-2)+2\times8=f(n-3)+3\times8=\cdots=f(1)+(n-1)\times8$

Since $f(1)=7$ , you have

$f(50)=f(1)+(50-1)\times8=399$

4 0

3 years ago

Helpp I'm struggling

Alona [7]

Answer:

The surface area is $198.75\ ft^2$

Step-by-step explanation:

Step 1: Determine the area of the bottom

$A = s^2$

$A = (7.5\ ft)^2$

$A = 56.25\ ft^2$

Step 2: Determine the area of the triangles

$A = \frac{h * b}{2}$

$A = \frac{9.5\ ft * \frac{7.5\ ft}{2}}{2}$

$A=\frac{9.5\ ft*3.75\ ft}{2}$

$A = 17.8125\ ft^2$

There are two of these right triangles on every side which means that we have 8 of these triangles so we multiply the area that we got by 8.

$A = 17.8125\ ft^2 * 8$

$A=142.5\ ft^2$

Step 3: Combine the area to get the surface area

$A_{total}=56.25\ ft^2+142.5\ ft^2$

$A_{total}=198.75\ ft^2$

Answer: The surface area is $198.75\ ft^2$

7 0

1 year ago