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Zina [86]
3 years ago
11

Find the missing side of the triangle and leave the answer in simplest radical form.

Mathematics
2 answers:
tatuchka [14]3 years ago
6 0

Answer:

x = \sqrt5

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

(\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6  = x^2\\\\5 = x^2\\\\x = \sqrt 5

lions [1.4K]3 years ago
6 0

Answer:

x = √5.

Step-by-step explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.

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The composite figure is made up of two congruent rectangular pyramids joined at their bases. What is the total volume of the com
Sedaia [141]
The volume of a rectangular pyramid is
V = (1/3) A*h
where
A =  the area of the rectangular base
h =  the height

The two pyramids are congruent in volume.
The volume of one pyramid is
(1/3)*(2*7.5)*(6) = 11
The volume of the composite figure is  2*11 = 22

Answer:  22

8 0
3 years ago
Read 2 more answers
Two life insurance companies determine their premiums using different formulas:
Pie

Answer:

<em>The age at which both companies charge the same premium is 44 years</em>

Step-by-step explanation:

<u>Graph Solution to System of Equations</u>

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

8 0
3 years ago
Clare spent a total of 25 minutes at the track. She spent 5 minutes stretching and walked 4 laps around the track. If she walked
andrezito [222]
Hello!

First of all, we can subtract the stretching time. This gives us 20. If we divide by the four laps we get 5 minutes per lap.

Now, one lap is 400 meters (most tracks are), which is equal to 15,748.03 inches. This means it takes her five minutes to walk 15,748.03 inches. This is also equal to 300 seconds, so it takes her 300 minutes per 15,748.03 inches. 

But if we round our big inches number to the nearest ten thousandth, we get 16,000, so in a simpler form her pace is 300/16,000. But we need to find in per second. Therefore we will divide by 300 to find how many inches she walks per second.  This means she walks about 53.33 inches per second.

I hope this helps!
6 0
3 years ago
Read 2 more answers
Plsss helppp meee thankssss
raketka [301]

Answer:

Step-by-step explanation:

4 0
3 years ago
Can someone help I cant understand a method for this pls ASAP
kvv77 [185]

Answer:

105 hours

Step-by-step explanation:

→ Find how many days in a week

7

→ Multiply this by his gaming time

7 × 15 = 105

3 0
2 years ago
Read 2 more answers
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