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Darya [45]
3 years ago
6

Kate made 180 ounces of punch for a party.She serves the punch in 8punce cups.How many full cups can she serve?

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0
She can serve a total of 23 cups atnthe party
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Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of one half from the c
vaieri [72.5K]

Answer:

m∠P ≅ m∠L; this can be confirmed by translating point P to point L.

Step-by-step explanation:

Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:

∠L=∠P

∠Q=∠M

∠N=∠R

Since the 2nd triangle made from dilation, it should maintain its orientation.

Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.

Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.

Option 3 and 4 definitely wrong because it speaking about length, not the angle.

6 0
3 years ago
Read 2 more answers
At what point of the curve y = cosh(x does the tangent have slope 2?
Dahasolnce [82]
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
5 0
3 years ago
If a tree 41.8 feet tall casts a shadow that is 27 feet long, find the height of a tree casting a shadow that is 18.3 feet long
Neko [114]

Answer:

28.3 feet

Step-by-step explanation:

Given a tree 41.8 feet tall casts a shadow that is 27 feet long

So the Tangent of the angle of the sahdow remains the same for the both trees.

We know that  Tanx=\frac{height of the tree}{length of the shadow}

\frac{height of the tree1}{length of the shadow1} = \frac{height of the tree2}{length of the shadow2}

\frac{41.8}{27} =\frac{x}{18.3}

x=\frac{41.8}{27}\times18.3 =28.3

Therefore the height of the tree is 28.3 feet

6 0
3 years ago
How might the crisis in biodiversity lead to a food crisis for humans?
EleoNora [17]

Answer:

Hi and heres your answer!

Step-by-step explanation:

The crisis of biodiversity will lead to a food crisis for humans because:

1.No varieties in certain foods like plants and animals that are healthy

2.The Less food there is,more animals go extinct which means humans will go extinct too.

and finally 3: Without certain types of species like the bee, humans have no chance of survival (since bees pollinate flowers,fruits,and plants which could be used for human consumption and medicine)

Hope this helped

Plz mark brainliest

Dont forget smash that heart at the bottom <3

Have a great day,Youre amazing!

7 0
2 years ago
Write down the next term in each of the following sequences
Archy [21]
Answer is:
a) 32
b) 59
Both are arithmetic sequences
4 0
3 years ago
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