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NemiM [27]
3 years ago
11

In a class of 30 student .(x+10) study Algebra.(10x-3) study statistics ,4 students study both Algebra and statistics,2x study o

nly Algebra and 3 study neither Algebra nor Statistics .Each student study at least one of the two subject.
i) illustrate the information on a Venn diagram
ii) how many students study,
a) Algebra
b) only Statistics​
Mathematics
1 answer:
kherson [118]3 years ago
3 0

Answer:

Step-by-step explanation:

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Equation with angles can someone please answer helpppp
Elden [556K]

Answer:

x = 18°\\\angle A = 73°

Step-by-step explanation:

By interior angle property on one side of the transversal.

\angle A+ \angle B = 180°\\6x - 35° + 3x + 53°  = 180°\\9x + 18° = 180°\\9x = 180° - 18°\\9x = 162°\\x = \frac{162°}{9}\\ \huge \red {\boxed {x = 18°}} \\\therefore \angle A = 6x - 35°\\\therefore \angle A = 6\times 18°- 35°\\\therefore \angle A = 108°- 35°\\ \huge \purple {\boxed{\therefore \angle A = 73°}} \\

3 0
3 years ago
Suppose h(t) = -4t^2+ 11t + 3 is the height of a diver above the water (in
Bingel [31]
The diver will hit the water when the height is zero, so we will want to set our height function equal to zero
0 = -4t^2 + 11t + 3
we will then factor to find out value of t that make the function equal to zero
0 = (-4t - 1 ) ( t - 3 )
This means our function equals zero when t = -1/4 s and t = 3 seconds
Since time cannot be negative, our final solution is t = 3 seconds
4 0
2 years ago
Read 2 more answers
Where is the opposite of −10 located on a number line? A) to the left of 0 B) to the right of 0 C) to the right of 12 D) to the
aalyn [17]

Answer:

B. to the right of 0

Step-by-step explanation:

the opposite of -10 would be 10 and out of all the answer choices the number 10 only fits into B.

6 0
3 years ago
Read 2 more answers
What is a formula for the nth term of the given sequence?<br> 20,50, 125...
loris [4]

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50.  Thus the common factor is 2.5.  The formula for the nth term is

a(n) = a(1)*r^(n - 1)  => a(n) = 20*2.5^(n - 1)

3 0
3 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2−x2. What are the dimensions of su
Paul [167]

Answer:

Step-by-step explanation:

Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=2-x^2

the parabola is open down with vertex at (0,2)

We can find that the rectangle also will be symmetrical about y axis.

Let the vertices on x axis by (p,0) and (-p,0)

Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation

Now width = 2-p^2

Area = l*w = 2(2p-p^3)

Use derivative test

I derivative = 2(2-3p^2)

II derivative = -12p

Equate I derivative to 0 and consider positive value only since we want maximum

p = \sqrt{\frac{2}{3} }

Thus width= \sqrt{\frac{2}{3} }

Length =2\sqrt{\frac{2}{3} }

Width = 2-2/3 = 4/3

3 0
3 years ago
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