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Rashid [163]
2 years ago
13

Solve the linear expression 5(-3.4k-7)+(3k+21)

Mathematics
1 answer:
Marysya12 [62]2 years ago
4 0
I am just a middle-schooler, but like to answer, so I believe k is -1.
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2 years ago
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Find the area of quadrilateral ABCD. [Hint: the diagonal divides the quadrilateral into two triangles.]
Vadim26 [7]

Answer:

B) 28.53 unit²

Step-by-step explanation:

The diagonal AD divides the quadrilateral in two triangles:

  1. Triangle ABD
  2. Triangle ACD

Area of Quadrilateral will be equal to the sum of Areas of both triangles.

i.e.

Area of ABCD = Area of ABD + Area of ACD

Area of Triangle ABD:

Area of a triangle is given as:

Area = \frac{1}{2} \times base \times height

Base = AB = 2.89

Height = AD = 8.6

Using these values, we get:

Area = \frac{1}{2} \times 2.89 \times 8.6 = 12.43

Thus, Area of Triangle ABD is 12.43 square units

Area of Triangle ACD:

Base = AC = 4.3

Height = CD = 7.58

Using the values in formula of area, we get:

Area = \frac{1}{2} \times 4.3 \times 7.58 = 16.30

Thus, Area of Triangle ACD is 16.30 square units

Area of Quadrilateral ABCD:

The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²

None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²

7 0
1 year ago
Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of the cylinder B, but it is the right in
yaroslaw [1]

Answer:

Answer:

tha answer is d .

Step-by-step explanation:

i did this test

Step-by-step explanation:


3 0
2 years ago
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A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
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To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

Vi = 30 gallons

 

We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

 

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0
2 years ago
Aeen is drinking a beverage that has a pH of 3.3. Marien is drinking a beverage that has a pH of 2.7. About how many time the hy
AlekseyPX
The pH value of a solution is a logarithmic function of the hydronium ion concentration in the solution. Since we are given the pH foe both we can easily calculate the H+ ion concentration as follows:

Aeen
3.3 = -log (H+)
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Marien
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(H+) = 0.07 M

Therefore, Aeen's drink is 0.07/0.04 or 2 times more hydrogen ion concentration than Marien's drink.
3 0
1 year ago
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