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4 years ago

The product of x and y is less than or equal to 4.

Mathematics

1 answer:

timama [110]4 years ago

5 0

Answer:

xy (less than or equal to sign) 4

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Solve -8x < 2. A- B C D

Anarel [89]

-8x <2

-8x÷2=4x

4× > 1

hope it helps

4 0

3 years ago

There are 162 magazines and books in a library. There are 54 more books

Strike441 [17]

Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

Given the following data;

Total number of m & b = 162

Translating the word problem into an algebraic equation, we have;

$b = m + 54$ ......equation 1

$m + b = 162$ ......equation 2

Substituting equation "1" into equation "2" we have;

$m + m + 54 = 162$

$2m + 54 = 162$

$2m = 162 - 54$

$2m = 108$

$m = \frac {108}{2}$

m = 54

Now to find the number of books;

$b = m + 54$

Substituting the value of "m" into the equation, we have;

$b = 54 + 54$

b = 108

Therefore, the total number of books in the library is 108 books.

7 0

3 years ago

A photographer is 6 feet tall and cast a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 fee

Novay_Z [31]

Answer: The height of the tree is 21 feet.

Step-by-step explanation:

Here we can assume that the angle at which the sun impacts the photographer and the tree to be the same angle.

Then we can think in both cases as triangles rectangles, where the height is a cathetus, and the shadow is the other cathetus.

Then we will have a relationship like:

Tg(angle) = shadow/height

height = shadow/Tg(angle)

Now, because for both triangles we have the same angle, then Tg(angle) will be the same number for both cases, and we can just think of it as constant K

Tg(angle) = K

Then we have the equation:

Height = Shadow/K

We know that the photographer is 6ft tall, and his shadow is 2 ft long, we can replace those two things in the above equation and find the value of k:

6ft = 2ft/K

K = 2ft/6ft = (1/3)

Now we know that the shadow of the tree is 7ft long, then the height will be:

height = 7ft/(1/3) = 7ft*3 = 21ft

The tree is 21 ft tall.

6 0

3 years ago

GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap

saul85 [17]

Answer:

139.48

Step-by-step explanation:

cos(55)=80/x

80/cos(55)=x

4 0

3 years ago

Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in.

Mrrafil [7]

The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
(20 in)(21 in) = (x in)(84 in)
The value of x in the problem is 5 inches.

3 0

3 years ago

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