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Fynjy0 [20]
3 years ago
12

Work out the lengths of side a and side b 8cm and 5 cm 1 triangle 17cm and 12 cm on the other triangle pythagoras

Mathematics
1 answer:
Viktor [21]3 years ago
3 0

Answer:

a = 9.4 cm

b = 12.0 cm

Step-by-step explanation:

Check the image uploaded for diagram;

For the first diagram, side length a is calculated as follows;

a² = 8²  +  5²

a² = 64  +  25

a² = 89

a = √89

a = 9.4 cm ( approximated to 1 decimal place)

For the second diagram, side length b is calculated as follows;

b² = 17²  -  12²

b² = 145

b = √145

b = 12.0 cm (approximated to 1 decimal place)

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The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe
astraxan [27]

The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:

a(n) = -5.6n + 16.7

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.

In this problem:

  • The percentage of smokers in 2014 was 16.7%, hence the initial value is b = 16.7
  • The percentage is decreasing by 5.6% each year, hence the slope is m = -5.6.

Then, the <em>equation </em>is:

y = mx + b

a(n) = -5.6n + 16.7

You can learn more about linear functions at brainly.com/question/24808124

7 0
3 years ago
The ratio of the measures of the three angles in
julia-pushkina [17]

Answer:

24, 48, 108

Step-by-step explanation:

2:9:4

2x+9x+4x=180

15x=180

x=12

2(12)=24

9(12)=108

4(12)=48

3 0
3 years ago
It wants me to find the degree of FJE and FJH but these confuse me
ELEN [110]
Here, EJI + FJE = 180    [ Linear-Pair Equation ]
FJE + 135 = 180
FJE = 180 - 135
FJE = 45

Now, FJH + FJE = 180  [Linear-Pair Equation ]
FJH + 45 = 180
FJH = 180 - 45
FJH = 135

Hope this helps!
8 0
3 years ago
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on th
ivanzaharov [21]

Answer:

ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

convert all % to decimals

0.06 x 21 = $1.26 tax

0.15 x 21 = $3.15 tip

1.26 + 3.15 = $4.41 added payment

4.41 + 21 = = $25.41 total bill

(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)

4 0
3 years ago
Read 2 more answers
Which pair of terms are not like terms?
Oliga [24]

Answer:

C.

Step-by-step explanation:

Like terms must have exactly the same variables and exactly the same exponents.

In C., you have mn and mn^2. That makes the variable parts not the same, so they are not like terms.

Answer: C.

8 0
3 years ago
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