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Simora [160]
3 years ago
13

William put 0.83 liter of water into a bucket. Matt put 0.98 liter of water into another bucket. When they combined their water

into a bigger bucket 10% of the water spilled out. The water they collected had a weight of 1.021 kilograms per liter of water. The expression show below represents the weight, in kilograms, of the water in the bigger bucket. [0.9(0.83 + 0.98)] x 1.021 Rounded to the nearest thousandth, what is the weight, in kilograms, of the water in the bigger bucket?
1.663


1.748


1.763


1.848
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
6 0
I believe that the answer is A.
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1. Isosceles Triangle The two equal sides of an isosceles triangle are each 42
gavmur [86]

Answer:

1. H = 29 cm

2. θ = 44°

Step-by-step explanation:

1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

L^{2} = H^{2} + B^{2}

Where:

L: is the sides of the isosceles triangle = 42 cm

B: is the base = 30 cm

H: is the height =?

Then, the height is:

H = \sqrt{L^{2} - B^{2}} = \sqrt{(42 cm)^{2} - (30 cm)^{2}} = 29.4 cm = 29 cm

2. The two equal angles (θ) can be found using the following trigonometric identity:          

cos(\theta) = \frac{B}{L}

\theta = cos^{-1}(\frac{30 cm}{42 cm}) = 44.4^{\circ} = 44^{\circ}

Hence, the two equal angles are 44°.

I hope it helps you!  

3 0
3 years ago
Natalie has 412 apples that she must package into bags. Each bag must hold 8 apples. Natalie divides 412 by 8 and gets an answer
worty [1.4K]

Answer:

Natalie has 4 apples left

Step-by-step explanation:

one bag is 8 apples and only has 4 left so it cant fill another bag let alone 4, so a is out. Natalie has 4 apples, not 4 bags, so there goes B. The only one left is C Natalie has  apples left after filling 51 bags.

5 0
3 years ago
Evaluate the limit as x goes to infinity of x^3e^-x/5
jekas [21]

Answer: 0

Step-by-step explanation:

\frac{x^{3}e^{-x}}{5}

This could be written as

\frac{x^{3} }{5e^{-x} }

Applying L'H rule and differentiating 3 times , we have

\frac{6}{5e^{x} }

taking the limit as x goes to infinity , we have

0

5 0
3 years ago
Three sets of a sum of a number and four are added to the sum of 7 times the same number and 13
Reika [66]
Let
x--------------> a number

we know that
<span>three sets of a sum of a number and four----------> 3(x+4)
t</span><span>he sum of 7 times the same number and 13--------> 7x+13

therefore

</span>(Three sets of a sum of a number and four) are added (to the sum of 7 times the same number and 13) ----------> [3(x+4)] + [7x+3]

[3(x+4)] + [7x+3]------> [3x+12] + [7x+3]=10x+15

the answer is 10x+15


5 0
3 years ago
How do you solve 1/4 (8y + 4) -17= 1/2 (4y -8)
Keith_Richards [23]
Well use photo math that will give u the answer and how to work it out
3 0
3 years ago
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