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3 years ago

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A rock climber averages 12 3/5 feet per minute. Write and solve an equation to find how many feet x the rock climber climbs in 3

0 minutes.
An equation is______=1235.

The rock climber climbs_______feet in 30 minutes.

1 answer:

Nikolay [14]3 years ago

6 0

Set up a proportion. If 12 3/5 feet can be traveled in one minute, then make that a fraction. 12 3/5 over one equals X over 30. Cross multiply 12 3/5×30 equals 1 X and solve.

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What is the volume of the cylinder below? A cylinder with a height of 12 millimeters and diameter of 18 millimeters. 108 pi mm3

Artemon [7]

Answer:

V =972 pi mm ^3

Step-by-step explanation:

The diameter is 18 so the radius is 1/2 of the diameter

18/2 = 9

r=9

The volume of a cylinder is

V = pi r^2 h

V = pi (9)^2 12

V =972 pi mm ^3

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2 years ago

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An altitude of a right triangle to its hypotenuse divides this hypotenuse into two segments that measure 9cm, and 16cm. What are

ozzi

Answer:

Step-by-step explanation:

Let a be the length of the altitude, then from the given triangles, applying the basic proportionality theorem, we get

$\frac{BD}{AD}=\frac{DC}{BD}$

⇒ $(BD)^{2}=DC{\times}AD$

⇒ $(BD)^2=9{\times}16$

⇒ $BD=\sqrt{144}$

⇒ $BD=12 cm$

Thus, the length of altitude is: 12 cm.

Now, $\frac{AB}{AD}=\frac{AC}{AB}$

⇒ $(AB)^{2}=220$

⇒ $AB= 14.83 cm$

Also, $\frac{BC}{DC}\frac{AC}{BC}$

⇒ $(BC)^{2}=400$

⇒ $BC=20 cm$

Thus, the lengths of the legs of this triangle are 14.83 and 20 cm.

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2 years ago

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A geometric secquence has: a3= 15 a6= 5/27; find common ratio

ss7ja [257]

Answer:

a=5 while other a is 0.03

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3 years ago

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Please help!!!!

tatyana61 [14]

Answer:

Step-by-step explanation:

From the figure attached,

If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.

Therefore, sides sides CD and GH must be equal in measures.

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Length of the side CD having ends C(-4, 4) and D(0, 5) will be,

CD = $\sqrt{(-4-0)^2+(4-5)^2}$

CD = $\sqrt{(16+1)}$

= $\sqrt{17}$

Length of GH having ends G(0, -4) and H(4, -5) will be,

GH = $\sqrt{(0-4)^2+(-4+5)^2}$

= $\sqrt{16+1}$

= $\sqrt{17}$

Therefore, m(CD) = m(GH)

Similarly, we can prove all corresponding sides of two figures equal in measure.

This shows ABCD ≅ EFGH.

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2 years ago

Describe three ways to determine the measure of segment YZ.

IgorLugansk [536]

Using 3 different methods, we can find that YZ = 25m

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations

sin(θ) = (opposite cathetus)/H

cos(θ) = (adjacent cathetus)/H

tan(θ) = (opposite cathetus)/(adjacent cathetus)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent cathetus

YZ = opposite cathetus.

We want to find YZ, so with the known things, we can use the first relation:

$sin(30\°) = YZ/50m$

$sin(30\°)*50m = YZ = 25m$

Now let's try another way.

We know that the sum of the internal angles of a triangle is always equal to 180°

In a triangle rectangle, we always have an angle equal to 90°.

Then the missing angle for our triangle can be computed from:

Z + 90° + 30° = 180°

Z = 180° - 90° - 30° = 60°

From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:

$cos(60\°) = YZ/50m\\cos(60\°)*50m = YZ = 25m\\$

Third way.

Whit the same angle we could find the side XY, the opposite cathetus, with:

$sin(60\°) = XY/50m \\sin(60\°)*50m = XY = 43.3m$

Now that we know one of the catheti, we can use the last trigonometric relation

$tan(60\°) = XY/YZ = 43.3m/YZ \\YZ = 43.3m/tan(60\°) = 25m\\$

If you want to learn more about triangle rectangles, you can read:

brainly.com/question/24330420

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3 years ago