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Paraphin [41]
3 years ago
8

In triangle def the measure of angle F=90 degrees fe=21 df=20cand ed=29 what is the cosine of angle e to nearest hundredth

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:

four angles at point B in this second diagram.

Step-by-step explanation:

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What are the correct answers and why? Simple and concise explanation please!!!
dezoksy [38]

Answer:

\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}

Step-by-step explanation:

(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)

f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1

-----------------------------------------

-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8

-----------------------------------

-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4

In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.

6 0
3 years ago
Read 2 more answers
If 7 L of a solvent costs $73 per liter, then the value of the 7 L of solvent is
Ksenya-84 [330]

Answer:

$511

Step-by-step explanation:

If each liter costs $73$, then 7 liters is 7 times 73, which is $511.

6 0
3 years ago
Whenever you sign a lease for an apartment, you typically have to pay a security deposit before you even move in; this is in cas
Maslowich

Answer:

360

365

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Slope =<br> ; y-intercept = -3
Goshia [24]

Question is incomplete Let assume the Slope = 2

Answer:

Therefore the Equation of line is

y=2x -3

Step-by-step explanation:

Given:

Slope = 2 ( Assumption )

y-intercept = -3

To Find:

Equation of Line in Slope-intercept form

Solution:

Equation of Line in Slope-intercept Form is given as

y=mx+c

Where,

m=Slope\\c=y-intercept

So, substituting Slope =2 and y-intercept = -3 in above we get

y=2\times x -3 Which is the Required Equation of line

Therefore the Equation of line is

y=2x -3

8 0
3 years ago
10.6 written as a decimal and a fraction or a mixed number in simplest form
lakkis [162]
10.6 \times \frac{10}{10} = \frac{106}{100} = \frac{53 \times 2}{50\times 2} \\\\ = \frac{53}{50} = \boxed{\bf{1 \frac{3}{50}}}

and 10.6 is already written as a decimal.
6 0
3 years ago
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