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Leto [7]
2 years ago
8

Find the length of diagonal AV in a three-dimensional figure.​

Mathematics
1 answer:
katovenus [111]2 years ago
6 0

Answer:

C. 13

Step-by-step explanation:

Apply pythagorean theorem.

Thus:

Diagonal AV = √(12² + 5²)

AV = √(144 + 25)

AV = √169

AV = 13 cm

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The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
kolezko [41]

For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

y: Let the variable representing the age of the second child of the Smiths

According to the data of the statement we have to:

x + y = 23\\x * y = 132

From the first equation we have to:

x = 23-y

We substitute in the second equation:

(23-y) * y = 132\\23y-y ^ 2 = 132\\y ^ 2-23y + 132 = 0

We find the solutions by factoring:

We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.

Thus, we have that the factorized equation is:

(y-11) (y-12) = 0

Thus, the solutions are:y_ {1} = 11\\y_ {2} = 12

So, we can take any of the solutions:

With y = 11

Thenx = 23-11 = 12

Therefore, the ages of the children are 11 and 12 respectively.

Answer:

 The ages of the children are 11 and 12 respectively.

6 0
3 years ago
What is the answer to f/3+4=8
Musya8 [376]

Answer:

so it would be f=36

Step-by-step explanation:

subtract 4 to the other side then multiply both sides by 3

4 0
3 years ago
1-2 sin e cos 20-2 sin 40 = cos (20)
natka813 [3]

Answer:

No this is not the same as cos(2Ф)

Step-by-step explanation:

First I changed the cos^{2}Ф into 1-sin^{2}Ф

I then foiled the (1-2sin^{2}Ф)(1-sin^{2}Ф) and that resulted in 1-sin^{2}Ф-2sin^{2}Ф+2sin^{4}Ф

From there, I then cancelled the two 2sin^{4}Ф and combined like terms and was left with 1-3sin^{2}Ф

Now 1-3sin^{2}Ф ≠ cos(2Ф)

8 0
3 years ago
Angle ABC measures 140°. Angle DBC bisects ∠ABC. Angle EBC bisects ∠DBC. What is the measure of ∠EBC?
Brrunno [24]

Answer:

\angle{EBC}=35\textdegree

An angle bisector divides the angle measure into two equal parts. In triangle ABC, B is the point at which the angle lies.

Step-by-step explanation:

Picture segment BD drawn from point B of tri.ABC where it connects to segment AC, creating point D. Now picture E drawn on the newly created segment DC where it connects to point B and down to point C. Here's a drawing to better show this:

It's bisecting the bisected angle ABC. So, 140/2 = 70, and 70/2 = 35.

5 0
2 years ago
Percy buys tomatoes that cost $0.58 per pound. He pays $2.03 for the tomatoes, How many pounds of tomatoes does he buy?
MArishka [77]
Since each pound casts $0.58 and the total spent is $2.03, you divide 2.03 by .58 to find the total amount of pounds.
2.03/.58=203/58=3.5
Therefore, Percy bought 3.5 pounds of tomatoes.
3 0
3 years ago
Read 2 more answers
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