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lesya692
18 days ago
9

Add the two expressions. −4.2x+3 and 2.5x−6 Enter your answer in the box.

Mathematics
1 answer:
babunello [8.4K]18 days ago
4 0

Answer:

 -1.7x -3

Step-by-step explanation:

−4.2x+3 +2.5x−6

I prefer to align them one above the other.

−4.2x+3

 2.5x−6

------------------

 -1.7x -3

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George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.
Leona [9260]
Create a visual representation to depict the situation outlined below.

Let h signify the height of the tree.

Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB

This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
Consequently, h = 1.94*3 = 5.82 m

Final result: 5.82 m

7 0
14 days ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Inessa [8989]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The variable x lies within the interval of all positive real numbers less than 5 cm.

Detailed solution:

Problem statement:

Determine the volume of the open-topped box as a function of the side length x (in centimeters) of the square cutouts.

Refer to the provided diagram for clarity.

Define:

x → length in centimeters of each square cutout side

The volume of the box with open top can be written as:

V=LWH

Given this, we have:

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

By substitution:

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Determine the domain of x:

Because:

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

Therefore:

Domain is the interval (0,5)

That means all real numbers strictly greater than zero and less than 5 cm are valid for x.

Hence, the volume V as a function of x is:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
1 month ago
76% is between which of the following two numbers?
AnnZ [9071]

Hi there!

While there are no answer choices provided, here's how you can solve a problem like this.

To find the average of two numbers, you simply sum them up and divide by two!

For instance, to find the midpoint between 1 and 3, you add 1 and 3 to get 4, then divide by 2 which results in 2!

For 100 and 580, adding gives you 680, and dividing by 2 results in 340!

The average between 0.57 and 0.69 involves adding to get 1.26, then dividing by 2 yields 0.63!

Now, with percentages, for 45% and 67%, the addition gives you 112%, and dividing that by 2 will result in 56%!

So, for your answer options, just calculate the total and divide by two to determine which one results in 76%!

I hope this information helps!

5 0
17 days ago
A square lot has sides of 39.875 m<br> Which is the best estimate for the perimeter of the lot?
PIT_PIT [9101]
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4 0
2 days ago
Mrs. Adams bought cans of pears and cans of mixed fruit.
Svet_ta [9486]

Answer: 5 Cans

Step-by-step explanation:

4 0
1 month ago
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