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lakkis [162]
2 years ago
15

Guys help me with a) and b) tasksANSWER:a) 40b) 25Thanks<3​

Mathematics
1 answer:
umka21 [38]2 years ago
8 0

Step-by-step explanation:

there are 2 similar triangles : ABE and DCE

that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.

and that means that

DE/AE = EC/BE (= DC/AB)

we know that

AE = AD + DE

BE = BC + EC

a.

so, we have actually

DE/(AD+DE) = EC/(BC+EC)

DE/(10+DE) = 8/(2+8) = 8/10 = 4/5

DE = 4(10+DE)/5

5DE = 4(10+DE) = 40 + 4DE

DE = 40 cm

b.

AD/DE = 3/5

BC/EC must be 3/5 too.

15/EC = 3/5

15 = 3EC/5

75 = 3EC

EC = 25 cm

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Can somebody help me out? This is due so soon
olga_2 [115]

Answer:

y = \frac{1}{2} x + \frac{3}{20}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 10x - 20y = - 3 into this form

Subtract 10x from both sides

- 20y = - 10x - 3 ( divide all terms by - 20 )

y = \frac{-10}{-20} x - \frac{3}{-20}, that is

y = \frac{1}{2} x + \frac{3}{20} ← in slope- intercept form

6 0
4 years ago
(6a + 5b + 4c) + (–6c + 15b) + (–8a)
kenny6666 [7]

Answer:

-2a + 20b - 2c

Step-by-step explanation:

(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a

                                                          = 6a - 8a + 5b + 15b + 4c - 6c

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6 0
3 years ago
Find the exact value of sin A in simplest radical form.
pantera1 [17]

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Step-by-step explanation:

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7 0
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Read 2 more answers
A bottle contains 2 liters of water. The bottle leaks 80 milliliters of water every 3 minutes. Will the bottle be empty in an ho
Aleksandr-060686 [28]

Answer:

No

Step-by-step explanation:

2 liters = 2,000

80/3 = 26.6

the bottle leaks 26.6 milliliters in a min

26.6*60 = 1596

1596 / 1000 = 1.596 (to convert to liters)

the bottle will leak 1.596 an hour

hope this helps!

5 0
3 years ago
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Ket [755]

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Tabitha started working at a coffee shop making $8.75 per hour and that every 6 months, she gets a $0.40 cents raise.

a. The formula to represent her hourly wage after each raise would be:

= $8.75 + 0.40m

where m = period of 6 months

b. Find her hourly wage at 3yrs.​

First we should note that 3 years = 3 × 12 = 36 months. Therefore, we would have 6 periods in 36 months since there's an increase every 6 months.

Therefore, using the formula

= $8.75 + 0.40m

where m = 6

= $8.75 + 0.40(6)

= $8.75 + $2.40

= $11.15

4 0
3 years ago
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