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irina1246 [14]
2 years ago
14

What is the measure of ∠NMP?

Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer:

∠NMP = 360 - 95 - 112 - 90 = 63°

Step-by-step explanation:

the sum of the interior angles of a quadrilateral = 360°

∠NOP = 90°

Therefore, ∠NMP = 360 - (95 + 112 + 90) = 63°

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Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length 1
Mashcka [7]
So if 11 units on the map is 5m in real life, the scale is 11 units= 5m
But we need 100m.
We would need 20 groups of 5m to get 100m.
So we would need 20 groups of 11 units, which is 220 units.
So, on the scale drawing, the square would need to be 220 units by 220 units.
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3 years ago
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2) A month of the year is randomly selected.
lara31 [8.8K]

Answer:

5/6

Step-by-step explanation:

The months of the year are: January February March April May June July August September October November December

There are 12 months

There are 10 months that do not start with A

P (month that does NOT begin with the letter A)

= number of months that do not start with A / total months

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3 years ago
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Express as a trinomial (2x+8)(x-3)
Luden [163]

Answer:

\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}

Step-by-step explanation:

\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24

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David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously. Natalie invested $3
Nutka1998 [239]

Answer:

$53.83

Step-by-step explanation:

For David

David invested $340 in an account paying an interest rate of 2\tfrac{1}{8}2 8 1 ​ % compounded continuously.

r = 2 1/8% = 17/8% = 2.125% = 0.02125

t = 17 years

P = $340

For Compounded continuously, the formula =

A = Pe^rt

A = Amount Invested after time t

P = Principal

r = interest rate

t = time

A = $340 × e^0.02125 × 17

A = $ 487.94

For Natalie

Natalie invested $340 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 ​ % compounded quarterly.

r = 2 3/4 % = 11/4% = 2.75% = 0.0275

t = 17 years

P = $340

n = compounded quarterly = 4 times

Hence,

Compound Interest formula =

A = P(1 + r/n)^nt

A = Amount Invested after time t

P = Principal

r = interest rate

n = compounding frequency

t = time

A = $340 (1 + 0.0275/4) ^17 × 4

A = $ 541.77

After 17 years, how much more money would Natalie have in her account than David, to the nearest dollar?

This is calculated as

$541.77 - $ 487.94

= $53.83

Hence, Natalie would have in her account, $53.83 than David

4 0
3 years ago
jasmine took a cab home from her office. the cab charged a flat fee of $4, plus $2 per mile. Jasmine paid $32 for the trip. How
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Well if the flat fee is $4 and you pay $2 per mile and she spent a total of $32, the answer would have to be 14 miles

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