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PilotLPTM [1.2K]
3 years ago
5

Find the missing length

Mathematics
2 answers:
Liula [17]3 years ago
8 0

Answer:

x = 16.64

option A

Step-by-step explanation:

Using the pythagoreom therom

Maksim231197 [3]3 years ago
3 0

Answer:

16.64

Step-by-step explanation:

Since it's a right angled triangle, we use Pythagoras theorem:

(Hypotenuse)² = (base)² + (perpendicular)²

x² = 14² + 9²

x² = 196 + 81

x² = 277

√x² = √277

x = 16.64

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Use your knowledge on the triangle proportionality theorem to find the missing side length indicated. Be sure to explain the pro
ikadub [295]

Answer:

? = 4.29

Step-by-step explanation:

Remark

Let  x be the question mark. You get the proportionality by using the dimensions of the little triangle to the dimensions of the large triangle.

Equation

14/(14+ 4) = 15/(x + 15)                   Combine like terms on the left

14/18 = 15/(x + 15)                          Cross multiply

14*(x + 15) = 18 * 15                        Simplify the right

14(x + 15) = 270                             Divide by 14

x + 15 = 270 / 14

x + 15 = 19.29                               Subtract 15 from both sides

x = 19.29 - 15

x = 4.29    

6 0
3 years ago
A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches.
suter [353]

Answer:

Step-by-step explanation:

5 0
2 years ago
The radius of one sphere is twice as great as the radius of a second sphere. Find the ratio of their volumes. 1/2 1/4 1/8 1/16
Anton [14]

Let's pick some simple points with which to set up an example for ourselves for this. Let's let the smaller radius be 1, and the larger, twice that, be 2. The radius itself is a single unit measure; in other words, it's measured as inches, feet, cm, etc., while the volume is a cubed measure. Volume is measured in inches cubed, feet cubed, cm cubed, etc. Therefore, if we have the radii measuring 1:2, we simply cube those single unit measures to find the ratio of their volumes. 1 cubed is 1, and 2 cubed is 8. So your answer for this is 1/8.

5 0
3 years ago
Read 2 more answers
Part 1 - Application
egoroff_w [7]

The measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a  length of an arc of a circle of radius 7 is approximately 10.99 cm.

The radius r = 7 cm

The arc length l = 10.99 cm

We know,

l = rθ

θ is the central angle.

θ = l/r  = 10.99/7 = 1.57 radians

To convert 1.57 radians into the degree multiply it by 180/π

θ = 89.95 degree

Thus, the measure of the central angle is 89.95 degree or 1.57 radians if the radius of the circle is 7 cm.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

7 0
2 years ago
4.) Mr. Lakey is a taxi cab driver. He earns $5.00 hour plus tips. One week he works 40
Arisa [49]

Answer:

87

Step-by-step explanation:

earning rate (R) = $5/hr

total (T) = $287

time (t) = 40 hr

tips = T - Rt

= $287 - $5*40

$87

3 0
3 years ago
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