Tim has a picture frame that is 30 cm long and 24 cm wide. He wants to make a picture frame that is similar in shape but is 18 cm long. How wide should this second picture frame be?

Answers

Answer 1

Answer: We can set up a proportion to find the same shape.

30/24 = 18/x

x stands for how wide in cm.

30/24 = 18/x

Cross multiply

30*x = 30x
24*18 = 432

432 = 30x

30x/30 = 432/30

x= 14.4

Answer: The width should be 14.40 cm wide.

Answer 2

Answer: 30 - 24 = 6
18 - 6 = 12
12 cm wide

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65.859) Round to the nearest tenth
10) Round to the nearest whole number. 70.59
76.684
11) Round to the nearest hundredth
815.755
12) Round to the nearest hundredth
877.71
13) Round to the nearest tenth

Answers

658.5
705.9
7668.4
8157.7
8777.3

Answer:

65.9

76.84

815.76

877.7

Step-by-step explanation:

A rectangle has a perimeter of 80 inches. Write an equation to represent the area A in terms of width w. Do I use the perimeter?

Answers

Answer:

$A = 40w-w^2$

Step-by-step explanation:

We are given the following in the question:

Perimeter of rectangle = 80 inches.

Let l be the length and w be the width of rectangle.

Perimeter of rectangle =

$P= 2(l+w)$

Putting values, we get,

$80 = 2(l+w)\n40 = l+w\n\Rightarrow l = 40 - w$

Now, we have to find the area of the rectangle in terms of w.

Area of rectangle =

$A = l* w$

Putting values, we get

$A = (40-w)w\nA = 40w-w^2$

is the required expression of area of rectangle in terms of w.

Yes, the perimeter is used to calculate the length of the rectangle in the term of w.

What is 6.2 x 105 in scientific notation?

Answers

First we have to just multiply it.
6.2*105=651
Scientific notation require that first part is between 0 and 9 and second its 10 to the power of something. Lets focus on the first part at the begging. We can divide 651 by 100 to get 6.51, so its between 0 and 9 ===> ok. Now we have note down dividing by 100 by 10 to the power of something. As we know that when we put minus to the exponent we obtain inverse number. Finally we can write 100= $10^2$
Now we put minus in front of 2 to get dividing by 100.
Final form is 6.2*105=651=6.51*10^(-2)
Hope that helps

$6.2 \cdot105=651=6.51\cdot10^2$

Im having trouble on 2 questions... 2 (x-5)=x-8 and 2 (x-5)=x.... can u figure them out and explain how to get them.... thanks

Answers

$2(x-5)=x-8\n2x-10=x-8\n2x-x=-8+10\nx=2\n\n2(x-5)=x\n2x-10=x\n2x-x=10\nx=10$

Given that DF/PR=FE/RQ=3/2, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?A. DE ≅ PQ
B.C. DE/EF = 3/2
D. DE/PQ = 3/2

Answers

Answer:

Option D.

Step-by-step explanation:

Given information: $(DF)/(PR)=(FE)/(RQ)=(3)/(2)$ .

We need to find the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem.

According to the SSS similarity theorem, two triangles are similar if their corresponding sides are proportional.

Using SSS similarity theorem, both △DEF and △PQR are similar if

$(DE)/(PQ)=(E F)/(Q R)=(DF)/(PR)$

If can be written as

$(DE)/(PQ)=(FE)/(RQ)=(DF)/(PR)$

It is given that $(DF)/(PR)=(FE)/(RQ)=(3)/(2)$ .

So, the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem is $(DE)/(PQ)=(3)/(2)$ .

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

Greatest Common Factor of 55 and 77

Answers

The factors of 77 are 1,7,11,77
The factors of 55 are 1,5,11,55
Therefor the gcf is 11

The greatest common factor of 55 and 77 is 11, which is the only common factor in these numbers.

As we know that the GCF is the greatest integer that equally divides both provided numbers without leaving a leftover.

To find the greatest common factor (GCF) of two numbers, in this case, 55 and 77, we can use several methods.

One common approach is to list the factors of each number and identify the largest factor that both numbers share.

For 55, the factors are 1, 5, 11, and 55, while for 77, the factors are 1, 7, 11, and 77.

The only factor these numbers have in common is 11.

Therefore, the GCF of 55 and 77 is 11.

Learn more about the Greatest Common Factor here:

brainly.com/question/18905667

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