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andrew11 [14]
3 years ago
11

Which postulate (if any) should be used to show the triangles are congruent?

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:

ASA

Step-by-step explanation:

SAS, it must go in order and SAS covers it up, Side, Angle, Side

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Your bank is offering a savings account with a nominal rate of 1.5%, compounded continuously. If you deposit $1,000 in 2010, wha
Anastaziya [24]

Answer:

$1,161.83

1.51%

Step-by-step explanation:

Continuously compounded interest is:

A = Pe^(rt)

where A is the final amount,

P is the initial amount,

r is the rate per time,

and t is time.

Given P = 1000, r = 0.015, and t = 10:

A = 1000e^(0.015 × 10)

A = 1000e^(0.15)

A = 1161.83

The effective annual yield is the annually compounded rate needed to have the same yield after the same time.  For continuously compounded interest, he equation for effective annual yield is:

R = -1 + e^r

R = -1 + e^0.015

R = 0.0151

The effective annual yield is 1.51%.

7 0
4 years ago
A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the ra
Aneli [31]

Using the relation between velocity, distance and time, it is found that:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

v = \frac{d}{t}

A plane traveling with the wind travels 900 miles in 5 hours, hence:

v_a + v_w = \frac{900}{5}

v_a + v_w = 180

The return trip is against the wind and takes 9 hours, hence:

v_a - v_w = \frac{900}{9}

v_a - v_w = 100

From the first equation, we have that:

v_w = 180 - v_a{/tex]Replacing on the second:[tex]v_a - v_w = 100

v_a - 180 + v_a = 100

2v_a = 280

v_a = 140

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0
2 years ago
Find the total surface area of the square pyramid in the figure.<br><br> thanks!!
Viefleur [7K]

Answer:

B: 144 yd²

Step-by-step explanation:

It's a square pyramid : Base area 8 x 8 = 64

4 side area:((8 x5) /2) x 4 = 80

Total area: 64 +80 = 144

5 0
3 years ago
Points are identified in pictures by​
ollegr [7]

Answer:

Graphs

Step-by-step explanation:

7 0
3 years ago
Using the distributive property to find the product (y−4x)(y2+4y+16) results in a polynomial of the form y3+4y2+ay−4xy2−axy−64x.
Viefleur [7K]

Answer:

16

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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