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Mamont248 [21]
3 years ago
9

Which of the following statements about Triangle ABC are correct?

Mathematics
1 answer:
irina [24]3 years ago
7 0

Answer:

A

Step-by-step explanation:

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Find the range for the set of data.
Naddika [18.5K]

Answer:

64

Step-by-step explanation:

115 - 51 = 64

4 0
3 years ago
Read 2 more answers
manuel ate 1/3 of the crackers on a plate. his brother ate 1/4 of the crackers. there were 5 crackers left on the plate. how man
Neporo4naja [7]

Answer:

there would have been 12 crackers on the plate at the start

Step-by-step explanation:

So 1/3 +1/4 = 7/12

Therefore 5/12 left on the plate …ie 5.

So total to start with

5/5×12=12

Ans 12

5 0
3 years ago
The populations of termites and spiders in a certain house are growing exponentially. The house contains 120 termites the day yo
zysi [14]

Answer:

in order to triple the inicial population of spiders, will take 50395 days

Step-by-step explanation:

we can define the termite population function as T(t) and the one for spiders as S(t) , where t represents time measured in days

since both have and exponencial growth

T(t)= a*e^(b*t)

S(t)= c*e^(d*t)

1) when the day the person moves in , t=0 and T(0)= 120 termites

T(0) = a*e^(b*0) = a = 120

2) after 4 days , t=4 and  the house contains T(4) = 210 termites

T(4)= 120*e^(b*4) = 210 → 4*b = ln (210/120) → b = (1/4)* ln(210/120)= 0.14

therefore

T(t) = 120*e^(0.14*t)

3) 3 days after moving in , t=3, there were T(3) = 120*e^(0.14*3)=182.63≈ 182 termites . The number of spiders is half of the number of termites → S(3) = T(3) * 1 spider/ 2 termites  =91.31 spiders ≈ 91 spiders

4) after 8 days of moving in , t=8, there were T(8) = 120*e^(0.14*8)=367.78≈ 368 termites . The number of spiders is 0.25 times the number of termites → S(8) = T(8) * 1 spider/ 4 termites =91.94 spiders   ≈ 92 spiders

from

S(t)= c*e^(d*t) → d = ln [S (tb)/S (ta) ] / (tb-ta)

therefore d = ln [ S(8)/S(3) ] / (8 - 3 ) = 2.18*10^-5

in order to triple the initial population

S(t3) = 3 *S(0) = 3*[c*e^(d*0)] = 3*c

S(t3) = c*e^(d*t3) = 3* c → t3 = ln(3) / d = 50395 days

5 0
3 years ago
The first coordinate of the point ( - 3, 2) indicates the point is located
Tom [10]

Answer:

In the first coordinate

Step-by-step explanation:

6 0
3 years ago
Which of these sugar syrup will be the sweetest ? The sugar syrup with,Required to answer. Single choice.Immersive Reader (1 Poi
aleksley [76]

Answer:  c. 150g of sugar dissolved in 300ml water

Step-by-step explanation:

The concentration of sugar syrup will decide which syrup is sweetest. Concentration is defined as the amount of solute dissolved per unit volume of solution.

a) 50g of sugar dissolved in 150ml water

Concentration=\frac{50g}{150ml}=0.33g/ml

b) 100g of sugar dissolved in 500ml water

Concentration=\frac{100g}{500ml}=0.2g/ml

c)  150g of sugar dissolved in 300ml water

Concentration=\frac{150g}{300ml}=0.5g/ml

d) 250g of sugar dissolved in 1000ml water

Concentration=\frac{250g}{1000ml}=0.25g/ml

Thus 150 g of sugar dissolved in 300ml water has highest concentration and is sweetest.

6 0
3 years ago
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