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3 years ago

Work out the area of a rectangle with base,b= 32mm and perimeter,P= 78mm.

Mathematics

1 answer:

Nataly_w [17]3 years ago

7 0

Answer:

224

Step-by-step explanation:

b = 32, h = 7 is the solution to P = 78. Hence, 7*32 = 224 is the answer

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(05.08A)Triangle ABC is transformed to similar triangle A′B′C′ below:

Romashka-Z-Leto [24]

Answer:

1st option is correct i.e., 1 over 2

Step-by-step explanation:

Given that Triangle ABC transformed to Triangle A'B'C'.

Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)

Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)

Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,

if A(a,b) ⇒ A'(c,d)

where, a.k=c & b.k=d then k is scale factor of dilation.

Value of k is same for all vertices.

For coordinates of A & A' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 6.k=3\implies k=\frac{1}{2}$

For coordinates of B & B' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

For coordinates of C & C' ,we have $4.k=2\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

Therefore, the scale factor of dilation is $\:\frac{1}{2}\:$ since in all cases $k=\frac{1}{2}$

1st option is correct i.e., 1 over 2

3 0

3 years ago

The sum of two numbers is -10.5.

grandymaker [24]

Answer:

-5 and -5.5;

-12.5 and 2

Step-by-step explanation:

Two negative addends, can be added together to give -10.5.

For example:

(-5) + (-5.5) = -5 - 5.5 = -10.5

Also, it is possible for one of the addends to be negative while the other is positive, and their sum will give us -10.5.

For example:

The sum of -12.5 and 2 will give us -10.5.

We are adding a positive and a negative number here. As usual, we will subtract the smaller number from the bigger number, while the result will carry the sign of the bigger number, which in this case is negative sign.

Thus:

(-12.5) + (2) = -10.5

4 0

3 years ago

What is 0.03 out of 1 as a percent?

BigorU [14]

When trying to find a percent, it is best to multiply everything by 100 (as a percentage is out of 100). 0.03*100= 3 and 1*100=100. Therefore, 0.03 as a percent is 3% Hope this helps :)

3 0

3 years ago

Read 2 more answers

Jess is painting a giant arrow on a playground find the area of the giant arrow

IgorC [24]

First solve the area of the arrow, the arrow consist of a rectangle that has a dimensions of 10 ft x 18 ft. and the triangle has a base of 20 ft and the height is 6 ft.

A = xy + 0.5bh
where x and y are the dimensions of the rectangle
b is the base of the triangle
h is the height of the traingle

A = (10)(18) + 0.5(20)(6)
A = 240 sq ft

number can of paint = 240 sq ft ( 1 can / 100 sq ft)
=2.4 can of paint, since you cant purchase a fraction of the can then the he need to buy 3 cans of paint

Hope this helps!

P.S- Can you plz mark min as brainliest??

Thank You

3 0

3 years ago

Determine whether the integral is convergent or divergent. ∫[infinity] 2 e^−1/x / x^2 dx : O Convergent O divergent If it is con

monitta

Let $f(x)=e^{-1/x}$ . Then $f'(x)=\frac1{x^2}e^{-1/x}>0$ for all $x\ge2$ , so $f$ is strictly increasing. As $x\to\infty$ , $e^{-1/x}\to e^0=1$ , so $f$ is bounded above by 1. This is to say,