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Amiraneli [1.4K]
3 years ago
7

7. What is the value of x? Round answer to the nearest tenth (one decimal

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Answer:

x= 20,1 degrees

Step-by-step explanation:

The sum of the inner angles of a triangle is 180 degrees

So it must be

3x-11+6x-10+x = 180

added up the terms with x

10x -11-10 = 180

added up the terms without x

10x - 21 = 180

added up (21) in the two members of the equation

10x-21+21 = 180+21

10x = 201

divide the two members by 10

x = 20,1 degrees

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(100) points!!!! Help please
inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

\displaystyle a_n=a_1r^{n-1}

where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
What is the equation for 5 units left and 3 units up from f(x)=x
erastovalidia [21]

The new equation after shifting will be:

g(x) = (x+5)+3\\g(x) = x + 8

Step-by-step explanation:

Function trnafomations upward and left are defined as:

Upward:

f(x) => f(x)+b where b is an integer

Left:

f(x) => f(x+b) where b is an integers

Given function is:

f(x) = x

Shifting the function 5 units left

g(x) = f(x+5) => x+5\\g(x) = x+5

Shifting the function upward 2 units

So,

g(x) = (x+5)+3\\g(x) = x + 8

The new equation after shifting will be:

g(x) = (x+5)+3\\g(x) = x + 8

Keywords: Functions, shifting

Learn more about functions at:

  • brainly.com/question/4054269
  • brainly.com/question/4163549

#LearnwithBrainly

3 0
3 years ago
PLEASE HELP NOW I NEED HELP
MariettaO [177]

Answer:

4.5

Step-by-step explanation:

If 2/5 is blue, that means 3/5 is white. Now I convert it to a decimal: 0.6. That means 60% of the paint is white, so I can do 7.5*0.6 to find how much white paint was in there. Click thanks and Brainliest if it helped! Have an awesome day :D

7 0
3 years ago
Distribute and evaluating <br> (X + 6) (x - 3)
sesenic [268]

Answer:

x^2+3x-18

Step-by-step explanation: hoped I helped

7 0
3 years ago
Read 2 more answers
Given h(x) = 4x + 3, find h(-1)<br>​
dsp73

Answer:

-1

Step-by-step explanation:

4x-1=-4

-4+3=-1

7 0
3 years ago
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