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RideAnS [48]
3 years ago
13

Calculate The scale factor of XYZ to you UVW enter answers as a whole number as a fraction in lowest terms using the slash mark

for the fraction bar

Mathematics
1 answer:
Lelu [443]3 years ago
5 0

Answer:

Scale factor of ΔXYZ to ΔUVW will be 1/5

Step-by-step explanation:

Since all the angles of ΔXYZ and ΔUVW are equal, both the triangles will be similar.

ΔXYZ ~ ΔUVW

Since both the triangles are similar, ratio of the corresponding sides will be in the same ratio.

\frac{UV}{XY}=\frac{VW}{YZ}=\frac{UW}{XZ}

And the scale factor = \frac{\text{Side of UVW}}{\text{Side of XYZ}}

                                  = \frac{UV}{XY}

                                  = \frac{12}{60}

                                  = \frac{1}{5}

Therefore, scale factor of ΔXYZ to ΔUVW will be 1/5

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1 There are 4 trucks for every 5 cars in a parking lot. How many trucks and
PtichkaEL [24]

Answer:

A. 64 trucks and 80 cars

Step-by-step explanation:

The ratio is 4:5 or 4/5, which equals 0.8. Divide the number of trucks by the number of cars to see which other answer equals 0.8. The only one that does is A.

8 0
3 years ago
Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
2 years ago
Gabrielle and John each
vivado [14]

Answer:

64=2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2=2^6

Step-by-step explanation:

Gabrielle and John each

wrote the prime factorization of 64.

64 can be break into 32 times 2

32 can be break into 16 times 2

16 can be break into 8 and 2

8 can be break into 4 times 2

4 can be break into 2 times 2

So 64 is equal to 2 times 2 times 2 times 2 times 2 times 2

64=2^6

7 0
3 years ago
What is the value of f(−1)f(−1) when f(x)=2x 2 ? enter your answer in the box. f(−1)=
sergiy2304 [10]
I hope this helps you




x= -1



f (-1)= 2. (-1)^2


f (-1)= 2.1


f (-1)= 2
6 0
3 years ago
n the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the
aniked [119]

Answer:

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

a) 2x + 3x + 9

b) 2x + 3 + 9

c) 2x + 3x + 9x

d) 2 + 3x + 9

Answer:

a) 2x + 3x + 9

Step-by-step explanation:

3 0
3 years ago
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