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aleksley [76]
3 years ago
13

Find the missing length. Round to the nearest tenth

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

x ≈ 30.9 (Choice D)

Step-by-step explanation:

We can use cosine for solving this question:

cos (61°) = 15 / x

x = 15 / cos (61°)

x = 30.93998011

x ≈ 30.9 (Choice D)

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Ihorangi travels 51 km to work and 51 km from work each day.
viktelen [127]

Answer:

Ihorangi uses 7.65 litres of petrol to and from work

Step-by-step explanation:

If the car Ihorangi drives consumes 7.5 L/100 km

Then for 1 km journey, the car will consume 7.5/100 L

= 0.075 L

If Ihorangi travels 51 km to work and 51 km from work

Therefore Ihorangi travel (51 + 51) km daily to and from work

= 102 km daily

The fuel he consumes daily is 102*0.075 L

= 7.65 L

7 0
3 years ago
A culture started with 4,000 bacteria. After 5 hours, it grew to 4,800 bacteria. Predict how many bacteria will be present after
eimsori [14]
First we need to find k ( rate of growth)
The formula is
A=p e^kt
A future bacteria 4800
P current bacteria 4000
E constant
K rate of growth?
T time 5 hours
Plug in the formula
4800=4000 e^5k
Solve for k
4800/4000=e^5k
Take the log for both sides
Log (4800/4000)=5k×log (e)
5k=log (4800/4000)÷log (e)
K=(log(4,800÷4,000)÷log(e))÷5
k=0.03646

Now use the formula again to find how bacteria will be present after 15 Hours
A=p e^kt
A ?
P 4000
K 0.03646
E constant
T 15 hours
Plug in the formula
A=4,000×e^(0.03646×15)
A=6,911.55 round your answer to get 6912 bacteria will be present after 15 Hours

Hope it helps!
4 0
3 years ago
Read 2 more answers
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
Aneli [31]
Answer : 59.04 is the angle 
8 0
3 years ago
Please someone I need the right answer will give brainiest if right​
nika2105 [10]

Answer:

C. Because (-3)^2 is NOT equal to -9

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Use the expression 5a – 2b – 3 + 2b – 6a.
ella [17]

Answer:

5a + (-6a) + (-2b) + 2b + (-3) = -a -3 or -(a + 3) so first answer is correct because -(a + 3) is the same as -(3 + a)

Step-by-step explanation:

4 0
3 years ago
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