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3 years ago

15

Write the equation of a function whose parent function function, f(x) =x+5, is shifter 3 units to the right a. g(x) = x+3 b. g(x

) = x+8 c. g(x) = x-8 d. g(x) = x+2

2 answers:

Eddi Din [679]3 years ago

8 0

Subtract then add then divided for all of them

mylen [45]3 years ago

8 0

Subtract then divide

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In ΔRST, m < R = 104°, r = 20, and t = 10. Find the m < S, to nearest degree.

Mrrafil [7]

9514 1404 393

Answer:

47°

Step-by-step explanation:

The law of sines helps you find angle T. From there, you can find angle S.

sin(T)/t = sin(R)/r

sin(T) = (t/r)sin(R) = (10/20)sin(104°)

T = arcsin(sin(104°)/2) ≈ 29°

Then angle S is ...

S = 180° -R -T = 180° -104° -29°

∠S = 47°

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3 years ago

sergij07 [2.7K]

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3 years ago

Quadrilateral BCDE is a square. What is mZDCF?

o-na [289]

Answer:

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3 years ago

The scale on a map is 1: 75 000. (a) Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

finlep [7]

Answer:

a. 1 200 000 km

b. 0.000 773 cm

c. 67 500 000 000 km²

d. 0.000 000 016 cm²

Step-by-step explanation:

a. Calculate the ACTUAL distance, in km, between two places which are 16 cm apart on the map.

Since the scale is 1 : 75000 that is 1 cm : 75000 km, we want to find the actual distance of 16 cm on the map. Let x be the actual distance in km.

So, 1 cm : 75000 km = 16 cm : x km

So, 1 cm/75000 km = 16 cm/x km

Thus x km = 16 cm × 75000 km/1 cm = 1 200 000 km

(b) Calculate length of a road on the map which is 0.58 km.

Let y be the length of road on the map. So, using our scale

1 cm : 75000 km = y cm : 0.58 km

So, 1 cm/75000 km = y cm/0.58 km

Thus y cm = 0.58 km × 1 cm/75000 km = 0.000 773 cm

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Since the scale is 1 : 75000 , the scale for the area would be the square of this. So, 1² : 75000² = 1 : 5 625 000 000 which is 1 cm² : 5 625 000 000 km²

Let z be the actual area of the lake.

So, 1 cm² : 5 625 000 000 km² = 12 cm² : z km²

So, 1 cm²/5 625 000 000 km² = 12 cm²/z km²

Thus z km² = 12 cm² × 5 625 000 000 km²/1 cm² = 67 500 000 000 km²

(d) Calculate the area of a play field on the map which has has an actual area of 90 km².

Let a represent the area of the play field on the map. Using our scale for the area,

1 cm² : 5 625 000 000 km² = a cm² : 90 km²

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4 0

3 years ago

Help, will give brainliest :)

Alenkasestr [34]

Answer:

is c=b

Step-by-step explanation:

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