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denis23 [38]
3 years ago
12

PLZ HELP

Mathematics
1 answer:
Alex3 years ago
4 0

Answer:

The correct option is C ) 109.5°

Therefore,

m\angle E=109.5\°

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}

Substituting the values we get

\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}

\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}

Therefore,

\angle E=\cos^{-1}(-0.3333)

m\angle E=109.5\°       ............As it is in Second Quadrant

Therefore,

m\angle E=109.5\°

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Please help me please I really need the answer worth 20 points
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Answer:

3:1, 24 gallons blue 8 gallons yellow

Step-by-step explanation:

Jenny will use 24 gallons of blue paint and 8 gallons of yellow paint

Their ratio is 24:8 = 3:1

8 0
2 years ago
For each of the following numbers, write 4 decimals that would round to this whole number when rounde to the nearest whole numbe
Natalka [10]
Round to the nearest whole number:

a) 14 ⇒ 13.5 ; 13.9 ; 14.1 ; 14.4
b) 28 ⇒ 27.5 ; 27.9 ; 28.1 ; 28.4
c) 32 ⇒ 31.5 ; 31.9 ; 32.1 ; 32.4
d) 50 ⇒ 49.5 ; 49.9 ; 50.1 ; 50.4
e) 67 ⇒ 66.5 ; 66.9 ; 67.1 ; 67.4
f) 71 ⇒ 70.5; 70.9 ; 71.1 ; 71.4
g) 88 ⇒ 87.5; 87.9 ; 88.1 ; 88.4
h) 95 ⇒ 94.5; 94.9 ; 95.1 ; 95.4

If the following number is within the range of 1 to 4 then round down.
<span>If the following number is within the range of 5 to 9 then round up.</span>
8 0
3 years ago
The height of an ostrich is 20 inches more than 4 times the height of a kiwi. If an ostrich is 108 inches tall, how tall is a ki
blagie [28]
The answer would be (108-20)4=22
3 0
3 years ago
Read 2 more answers
What would 2x + 3y = 1,470 be in slope intercept form and how do you get it
Flauer [41]

slope intercept formula is y = mx + b.

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2x (-2x) + 3y = (-2x) + 1470

3y = -2x + 1470

Isolate the y. Divide 3 from both sides

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y = (-2x + 1470)/3

Simplify

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hope this helps

6 0
3 years ago
Read 2 more answers
Evaluate: 9 + x/5 for x = 30 15 16 17 18
mart [117]

<u>Answer:</u>

\bold{9+\frac{x}{5}=15}

<u>Solution:</u>

Given: x=30

To solve: 9+\frac{x}{5}

On substituting the value of x,

9+\frac{30}{5}

On dividing 30 and 5 we get,

\Rightarrow 9+6 = 15

So, the option is 15.

7 0
2 years ago
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