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MariettaO [177]
3 years ago
14

Find the missing lengths. If needed, round the answers to the nearest tenth.

Mathematics
1 answer:
Monica [59]3 years ago
4 0

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle which is made up of 2 right angle triangles.

To determine y, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side². Therefore

136² = y² + 120²

18496 = y² + 14400

y² = 18496 - 14400 = 4096

y = √4096 = 64

To determine z,

255² = z² + 120²

65025 = z² + 14400

z² = 65025 - 14400 = 50625

z = √50625 = 225

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Six times a number x, plus 4 times a number y, equals 14. Negative eight times x minus 4 times y equals -12. What are the number
jekas [21]
Converting this into an equation, we get:
6x+4y=14
-8x-4y=-12

We can solve this by adding the system of equations.

       6x+4y=14
 +   -8x-4y=-12
-------------------------
      -2x=2

Simplifying, we get that x=-1. We can replug this into one of the equations to get y. We'll choose 6x+4y=14

Plugging in -1 for x, we get that:
6(-1)+4y=14
which is
-6+4y=14
which is
4y=20

Simplify this to get that y=5

To check, you can plug in x and y into both equations to make sure that they are true.

6(-1)+4(5)=14
-6+20=14
14=14 which is true

-8(-1)-4(5)=-12
8-20=-12
-12=-12 which is true

x=-1 and y=5


:)
7 0
4 years ago
Which expression has a value of 15, using only four 4s and any of the following: + , – , · , ÷, exponents, and/or parentheses? A
Simora [160]
Hello :
<span>C.)     (4 · 4) – (4 ÷ 4) =16-1=15</span>
5 0
4 years ago
In ΔKLM, m = 18 inches, ∠M=124° and ∠K=29°. Find the length of k, to the nearest 10th of an inch
Anastaziya [24]

Answer:

10.5

Step-by-step explanation:

sin29

k

​

=

sin124

18

​

Plug in. Opposite sides go together.

k=\frac{18\sin 29}{\sin 124} \approx 10.526 \approx 10.5

k=

sin124

18sin29

​

≈10.526≈10.5

7 0
4 years ago
If Oliver withdraws $285.10 from his savings account to make the purchase, how much would he have earned in interest on that amo
never [62]
Oliver withdraws an amount of $285.10 from his saving account

His saving account earns 1.8% annually

The interest Oliver could have earned in five months:

Monthly interest = Annual interest ÷ 12
Monthly interest = 1.8% ÷ 12
Monthly interest = 0.018 ÷ 12 = 3/2000

After five months = Principle × (1 + interest)ⁿ
After five months = 285.10 × (1 + 0.018)⁵
After five months = 311.70

Interest earned = 311.70 - 285.10 = $26.60
3 0
4 years ago
Convert and explain 28% to decimal and fraction
DaniilM [7]
28% as a decimal would be 0.28, since it is 28 out of 100, which answers the fraction question : 28/100
8 0
4 years ago
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