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dmitriy555 [2]
1 year ago
6

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right

angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.
What is the value of y?

3 StartRoot 3 EndRoot units
6 StartRoot 3 EndRoot units
9 StartRoot 3 EndRoot units
12 StartRoot 3 EndRoot units
Mathematics
1 answer:
Agata [3.3K]1 year ago
7 0

Answer:

6 StartRoot 3 EndRoot units

Step-by-step explanation:

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A line segment has a midpoint of (1, 3/2). If one endpoint is (4,3), what is the other endpoint?
andrew11 [14]

Answer:

(-2, 0)

Step-by-step explanation:

midpoint formula :)

8 0
3 years ago
Water weighs 62.4 pounds per cubic foot. How much does the water in a tank that measures 7 ft × 4 ft × 9 in, weigh?
andriy [413]

Answer:

  • <u>1,310 lb</u>

Explanation:

<u>1) Calculate the volume of the water in the tank.</u>

  • Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
  • Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
  • Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.

<u>2) Calculate the weight of 21 ft³ of water.</u>

Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:

  • 62.4 lb / 1 ft³ = x / 21 ft³

Solve for x:

  • x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.

So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.

6 0
3 years ago
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Use the following function rule to find f(28).
IrinaVladis [17]

What following function tool?

7 0
3 years ago
What is the length of the side a ?<br><br> A=
vodka [1.7K]

Answer:

a = 5

Step-by-step explanation:

Notice that \triangle CDB is a right triangle where its hypotenuse is \overline{CB}. We can also see that a = CB. For this we must use the Pythagorean Theorem.

Recall:

The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.

We can see that CD = 3 and DB = 4

a = \sqrt{CD^2 +DB^2} \\ a = \sqrt{3^2 +4^2} \\ a = \sqrt{9 +16} \\ a = \sqrt{25} \\ a = 5

7 0
2 years ago
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Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig
Aleks [24]

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

(x, y) \Rightarrow(-y, x)

Substituting the coordinates of the point C in the above formula, we get;

(2, 1) \Rightarrow(-1, 2)

Therefore, the coordinates of the point C' is (-1,2)

5 0
3 years ago
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