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yulyashka [42]
2 years ago
5

Need help asap pls :)

Mathematics
2 answers:
azamat2 years ago
8 0

Answer:

<8, <5, <10 are 65 degrese

Step-by-step explanation:

oki, so, 55+m<2 must be 115 because 115 is a corresponding angel to 55+<2 meaning they are =, so m<2=115-55, m<2=60.

m<3 must then = 65 because line a phase a 180 angle (assuming a and b are parallel)

<3 is also corresponding to angle <10 so by the transitive property m<10=65.

m<8 must then = 65 because the angle of line b in 180, and the transversal cuts 115, 180-115=65.

whoops, then finally 5 is vertical from <2 so it is congruent, so <2 must be 65, so all angles are 65 degrees.

pogonyaev2 years ago
7 0

Answer:

See explanation below.

Step-by-step explanation:

First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10

Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115

Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.

Angle 5 = 10

Angle 4 = 55

Angle 6 = 115

Now we can find angle 8. 180-115=65. Angle 8 = 65

Angle 11 = 65

Angle 12 = 115

10+115=125 Angle 10 = 125

180-125 = 55 Angle 9 = 55

Angle 14 = 55

Angle 13 = 125

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Answer: RS = 28
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3 years ago
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Find the future value of an annuity due of $400 each quarter for 4 1 2 years at 13%, compounded quarterly. (Round your answer to
Flura [38]

Answer:

$9891.23


Step-by-step explanation:

The formula for future value of annuity due is:

FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)

Where,

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  • P is the periodic payment (here it is $400)
  • r is the interest rate per period (here 13% yearly interest is actually \frac{13}{4}=3.25 percent per period(quarter))
  • n is the number of periods (here the annuity is for 4\frac{1}{2} years, which is 4\frac{1}{2}*4=18 periods, since quarterly and there are 4 quarters in 1 year)

Substituting all those values in the equation we get:

FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23

Hence, the future value of the annuity due is $9891.23

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3 years ago
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Answer:

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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.
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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

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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

So, a cm² = 90 km² × 1/5 625 000 000 km² = 0.000 000 016 cm²

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