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Karo-lina-s [1.5K]
3 years ago
8

How many solutions will this system have?

Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:

one line over another is infinitely many solutions or to the letter A

hope it helps you and pls brainlies

Natalka [10]3 years ago
4 0
Indefinitely many

The lines are on each other so every solution is correct
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What is 19/25 as a percent
Jlenok [28]

Answer:

76%

Step-by-step explanation:

Take 19/25.

Multiply them by 4.

76/100

Turn into a percentage

76%

4 0
3 years ago
Your company is introducing a fruit drink packaged in an aluminum box with a square
solong [7]

Answer:

See explanation

Step-by-step explanation:

Let x in be the base side length and y in be the height of the box. Since the base is a square, we have

S=x^2\Rightarrow x=\sqrt{S}

The volume of the box is

V=S\cdot y\\ \\36=Sy\Rightarrow y=\dfrac{36}{S}

The surface area of the box is

SA=2x^2+4xy\\ \\SA(S)=2S+4\cdot \sqrt{S}\cdot \dfrac{36}{S}=2S+\dfrac{144}{\sqrt{S}}

The graph of the function SA(S) is shown in attached diagram.

Find the derivative of this function:

SA'(S)=(2S+144S^{-\frac{1}{2}})'=2-\dfrac{1}{2}\cdot 144\cdot S^{-\frac{1}{2}-1}=2-\dfrac{72}{S\sqrt{S}}

Equate this derivative to 0:

2-\dfrac{72}{S\sqrt{S}}=0\\ \\2S\sqrt{S}=72\\ \\S\sqrt{S}=36\\ \\S^{\frac{3}{2}}=6^2\\ \\S=6^{\frac{4}{3}}

So, the dimensions that produce a minimum surface area for this aluminum box are:

x=\sqrt{6^{\frac{4}{3}}}=6^{\frac{2}{3}} \ in\\ \\y=\dfrac{6^2}{6^{\frac{4}{3}}}=6^{\frac{2}{3}}\ in.

4 0
3 years ago
Find the area of the rhombus.
Goshia [24]

Step-by-step explanation:

as the graphic shows, we are dealing with a special rhombus : a square.

this is proven by the fact that the angle on one side of the diagonal at the corner is 45°. so, the other side must be 45° too, and so we have 90° angles at the corners.

what is not clear to me is : what is 6 cm long ? a half-diameter, or the whole diameter ?

I assume the half-diameter.

what the graphic is trying to suggest is that we have 4 little right-angled triangles that are also isoceles triangles (their legs are equally long).

every leg is 6 cm long (based on my assumption above).

because they are right-angled, the area of each of these little triangles is leg×leg/2

6×6/2 = 18 cm²

we have 4 triangles, so the total area is

4×18 = 72 cm²

if 6 cm stands for the whole diagonal after all, then the only change is the length of the legs, which would be then 6/2 = 3 cm.

then we would have

3×3/2 = 4.5 cm² for a single triangle

and

4×4.5 = 18 cm² for the whole area.

6 0
3 years ago
What decimal is equal to 7/9
nekit [7.7K]

7/9 = 0.77777778

honestly i just googled this

6 0
3 years ago
Read 2 more answers
If 1/2 gallon of paint cover 1/4 of a wall then how much paint is needed to cover an entire wall?
slavikrds [6]

paint is needed to cover an entire wall : 2  

if 1/2 gallon of paint cover 1/4 of a wall => 1 wall = (1/2)/(1/4) =2

4 0
3 years ago
Read 2 more answers
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