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jonny [76]
3 years ago
6

Q11.

Mathematics
1 answer:
Kamila [148]3 years ago
5 0

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = \frac{1}{2}(a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  \frac{1}{2}((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2x^{2} + x

So that;

2x^{2} + x - 531 = 0

This gives a quadratic equation.

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The mean survivial time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years. Based on a parti
frutty [35]

Answer:

The time the patient expected to survive after diagnosis is 29 years.

Step-by-step explanation:

It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.

That is,

\mu=15\\\sigma=5

An individual's predicted survival time is <em>a</em> = 2.8 standard deviations beyond the mean.

Compute the time the patient expected to survive after diagnosis as follows:

X=\mu+a\sigma

    =15+(2.8\times 5)\\\\=15+14\\\\=29

Thus, the time the patient expected to survive after diagnosis is 29 years.

5 0
3 years ago
Adrian has some dimes and some quarters. He has at least 13 coins worth no more than $2.35 combined. If Adrian has 11 dimes, det
tresset_1 [31]

Answer:

11 dimes equals 110

Step-by-step explanation:

so you have 3.45 cents.

3 0
3 years ago
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles.
weqwewe [10]
$r=3958. 13$ miles good luck in college a student from middle school
7 0
3 years ago
The booster club for a high school football team sold adult and student tickets to a banquet.
USPshnik [31]

Answer:

<em>Hi There the correct answer to this is A 14</em>

Step-by-step explanation:

All you really need to do is Add 9 to 5 then you get your answer from 14.

4 0
3 years ago
Use the information to answer the questions.
Anna71 [15]

Answer:

Part 1) The length of two sides and the measure of the included angle (Side-Angle-Side)

Part 2) b^2=a^2+c^2-2(a)(c)cos(B)  

Part 3) b=11.6\ in

Step-by-step explanation:

we have

In the triangle ABC

a=11\ in\\c=9\ in\\B=70^o

Part 1) Which information about the triangle is given?

In this problem we have the length of two sides and the measure of the included angle (Side-Angle-Side)

see the attached figure to better understand the problem

Part 2) Which formula can you use ti find b?

I can use the law of cosines

b^2=a^2+c^2-2(a)(c)cos(B)  

we have

a=11\ in\\c=9\ in\\B=70^o

substitute the given values

b^2=11^2+9^2-2(11)(9)cos(70^o)

b^2=202-67.72  

b=11.59\ in

Part 3) What is b, rounded to the nearest tenth?

Remember that

To Round a number

a) Decide which is the last digit to keep  

b) Leave it the same if the next digit is less than 5 (this is called rounding down)  

c) But increase it by  1 if the next digit is  5 or more (this is called rounding up)

In this problem we have

11.59\ in

We want to keep the digit 5

The next digit is 9 which is 5 or more, so increase the "5" by 1 to "6"

therefore

b=11.6\ in

4 0
3 years ago
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