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Veseljchak [2.6K]
3 years ago
5

Look carefully at the triangle solve for x ​

Mathematics
1 answer:
luda_lava [24]3 years ago
3 0

The 3 inside angles of a triangle need to equal 180 degrees. Looking at the larger outside triangle the top angle is 30 and the lower right angle is 60.

30 + 60 = 90

The lower left angle needs to be 180 - 90 = 90 degrees.

That angle is split into two angles with one given as 70.

This means X needs to be 90 - 70 = 20 degrees.

x = 20

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Graph g(x)=2+|x| and it’s parent functions
matrenka [14]

The parent function is ...

... f(x) = |x|

This is the absolute value function, equal x when x ≥ 0, and equal to -x when x < 0. Its graph has the shape of a V with the vertex at the origin and "legs" of slope ±1.

The function g(x) is the same function with 2 added. The addition of 2 moves every value of f(x) up 2 units, so translates the whole graph upward by 2 units.

8 0
3 years ago
A test to detect an infection gives a positive result 98% of the time if a person is infected. It is 97% accurate for people who
sergeinik [125]
Consider this:

If a test gives a positive result for an infected person 98% of the time, that means that 2% of the time, it gives a negative result for an infected person, which would be a false negative.

Then,

if the test is 97& accurate (not precise) for non-infected people, that means that it gives a negative result 97& of the time. So a positive result will be given 3% of the time for non-infected people, which is considered a false positive.
5 0
3 years ago
Read 2 more answers
FindFind the length of the crust(arc) of the pizza
Soloha48 [4]

Answer:

29.3 cm

Step-by-step explanation:

converting 70 degrees into radians, we get=(7/18)×π

now we know,

length of the arc= {(7/18)×π} × 24 (radius of the circle)

= 29.3 cm

8 0
3 years ago
Based on a study of population projections for 2000 to​ 2050, the projected population of a group of people​ (in millions) can b
Olegator [25]

Answer:

(a) 0.107 million per year

(b) 0.114 million per year

Step-by-step explanation:

A(t) = 11.19(1.009)^t

(a) The average rate of change between 2000 and 2014 is determined by dividing the difference in the populations in the two years by the number of years. In the year 2000, t=0 and in 2014, t=14. Mathematically,

\text{Rate}=\dfrac{A(2014) - A(2000)}{2014-2000}=\dfrac{11.19(1.009)^14-11.19(1.009)^0} {14}

A(0)=\dfrac{12.69-11.19}{14}=\dfrac{1.5}{14}=0.107

(b) The instantaneous rate of change is determined by finding the differential derivative at that year.

The result of differentiating functions of the firm y=a^x (where a is a constant) is \dfrac{dy}{dx}=a^x\ln a. Let's use in this in finding the derivative of A(t).

A\prime(t) = \dfrac{A}{t}=11.19\cdot1.009^t\ln1.009

In the year 2014, t=14.

A\prime(14) =11.19\cdot1.009^14\ln1.009=0.114

6 0
3 years ago
The Earth is 1.49 × 108 kilometers from the Sun, multiply this expression by the given power of 10.
soldier1979 [14.2K]
1.49 × 10^8

*just move the decimal point 8 places to the right.

149,000,000

hope this helps :)



7 0
3 years ago
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