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3 years ago

What’s the measure of

Mathematics

1 answer:

motikmotik3 years ago

6 0

61.45 degrees
Hope this helps:)

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In an art class 40% of the students use watercolors for pain 10 students in the art class use watercolors how many students were

yarga [219]

10=0.4%*n

100 = 4n

n=100/4

n= 25 students

3 0

3 years ago

How do you solve this equation: -2m+3=|15+m|

Elden [556K]

Any number inside the modulus sign becomes positive. This means $|15+m|=|-(15+m)|=|-15-m|$ and so we have,

$-2m+3=|15+m| \Rightarrow \left \Big\{ {{-2m+3=15+m} \atop{-2m+3=-15-m}} \right$

Solving these gives us

$-2m+3=15+m \Rightarrow m=-4$

$-2m+3=-15-m \Rightarrow = m=18$

However if we check the second solution in the original equation we obtain $-2(18)+3=|15+18| \Rightarrow -33=33$ . This is false and so $m=18$ can't be a solution.

Therefore the only solution is $m=-4$ .

(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)

8 0

3 years ago

Which is irrational?

sladkih [1.3K]

Answer:

(b) √5

Step-by-step explanation:

The square root of an integer is rational if the integer is a perfect square. You probably know the first few perfect square integers are 1, 4, 9, 16, 25, 36, ...

The integer 5 is not on that list, so its square root will be irrational.

√5 is irrational

5 0

2 years ago

One week, Caroline earned $183.20 at her job when she worked for 8 hours. If she is paid the same hourly wage, how much would sh

faust18 [17]

Answer:

$297.70

Step-by-step explanation:

First, find her hourly wage:

183.20/8

= 22.9

Then, multiply this by 13:

22.9(13)

= 297.7

So, she will make $297.70 next week

7 0

3 years ago

A rectangle has a perimeter of 34 cm. It’s length is 5 more than twice it’s width.Write and solve a system of equations to find

Aloiza [94]

Answer:

Length = 13 cm

Step-by-step explanation:

Length (L) = 2 x Width (W) + 5

2 x (L + W) = 34

2 x (2W + 5 + W) = 34

6W + 10 = 34

6W = 34-10 = 24

W=4

L = 13

6 0

2 years ago