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amid [387]
3 years ago
11

Please help, what is the measurement of YZ?

Mathematics
2 answers:
VLD [36.1K]3 years ago
6 0

Answer:

24.4

Step-by-step explanation:

tan(16) = opposite/adjacent

tan(16) = 7/YZ

YZ = 7/tan(16)

YZ = 7/0.287

YZ = 24.39

YZ = 24.4

aliya0001 [1]3 years ago
3 0

Answer:24.39

Step-by-step explanation:

Let YZ be x

Tan x = opp/Adj

Tan 16 = 7/x

Cross multiply

x Tan 16 = 7

0.287x = 7

Divide both side by 0.287

x =24.39

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Can anyone do this 3 questions please....
Colt1911 [192]

Answer:

23 ) 60 x raised to 3  , y raised 3  , z raised to 3

25 ) 12 p

Step-by-step explanation:

23 ) volume of a rectangular box = l ×b×h

       3x square y * 4y square * 5z square x

        60 x raised to 3

25 )  area of a square = side × side

        (3×4) p

          12 p


5 0
3 years ago
The volume of a cone is 3πx3 cubic units and its height is x units. Which expression represents the radius of the cone’s base, i
dalvyx [7]

Answer:

<em>r=3x</em>

Step-by-step explanation:

<u>The Volume of a Cone</u>

The volume of a cone of radius r and height h is:

\displaystyle V=\frac{1}{3}\pi hr^2

We are given the volume of a cone is

V=3\pi x^3

Equating:

\displaystyle \frac{1}{3}\pi hr^2=3\pi x^3

Multiplying by 3:

\pi hr^2=9\pi x^3

Simplifying by pi:

hr^2=9 x^3

Since h=x:

xr^2=9 x^3

Dividing by x:

r^2=9 x^2

Taking square roots:

r=\sqrt{9 x^2}=3x

Thus: r=3x

5 0
3 years ago
Read 2 more answers
A school bus has 23
lawyer [7]

Answer:

101

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Light travels 1.08 x 10 9 kilometers in one hour. How far does it travel in 2 hours?
ozzi

The distance traveled by the light in 2 hours is 2.16×10⁹ km.

<h3 /><h3>Distance:</h3>

This is the total length of space between two points covered by an object. Distance has no regard for direction as it is termed a scalar quantity. The S.I unit of distance is meter(m).

To calculate the distance traveled by the light in 2 hours, first, we need to calculate the speed of the light.

Formula:

  • S = d/t................. equation 1

Where:

  • S = speed
  • d = distance travelled
  • t = time

From the question,

Given:

  • d = 1.08×10⁹ km
  • t = 1 hour

Therefore,

  • s = 1.08×10⁹/1
  • s = 1.08×10⁹ km/h

The distance traveled in 2 hours is

  • d = 2×1.08×10⁹
  • d = 2.16×10⁹ km

Hence, the distance traveled by the light in 2 hours is 2.16×10⁹ km

Learn more about distance here: brainly.com/question/23848540

6 0
2 years ago
Which expression is equivalent to (x^4/3 x^2/3)^1/3?
KATRIN_1 [288]

Answer: x^{\frac{2}{3} }

Step-by-step explanation:

We have several properties of exponents in use here. The two that are used are:

(x^{a})(x^{b}) = x^{a + b} <em>(Exponents with the same base that are being multiplied together can have the exponents added)</em>

(x^{a})^{b} = x^{(a)(b)} <em>(A base raised to a power, and then raised to another power means that you can multiply the exponents to get the same result as doing inside operations and then outside operations)</em>

<em />

Let's apply it!

First, let's simplify what's inside the parenthesis.

x^{\frac{4}{3} } x^{\frac{2}{3} } <em>(Remember, they have the same base of "x", so we can add the exponents)</em>

x^{\frac{4}{3} + \frac{2}{3} } = x^{\frac{6}{3} } = x^{2}

Now we have (x^{2})^{\frac{1}{3} }. Let's use the second rule.

(x^{2})^{\frac{1}{3} } = x^{\frac{2}{3} }

Hope this helps! :^)

7 0
3 years ago
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