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3 years ago

The scores of Tim’s first four math tests are 82%, 90%, 78%, and 100%. If Tim wants to

1 answer:

Crank3 years ago

5 0

82+ 90+78+100 = 350
Tim wants to have a test average of 90% on all of his 6 tests then
90 x 6 = 540

540 - 350 = 190

 the average of Tim’s next two tests = 190 / 2 = 95

answer
average of Tim’s next two tests must be 95

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A telephone pole has a wire to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor po

Bumek [7]

Answer:

The height of the pole is 105ft,

Step-by-step explanation:

Let us call $h$ the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is $h - 49$ .

The wire length $d$ is 14 ft longer than height $h$ , hence

$d= h+14$ .

Thus we get a right triangle with hypotenuse $d= y+14$ , perpendicular $h$ , and base $h-49$ ; therefore, the Pythagorean theorem gives

$(h-49)^2+h^2 = (h+14)^2$

which upon expanding we get:

$h^2-98h+2401 = h^2+28h+196$

further simplification gives

$h^2-126h+2205=0$ ,

which is a quadratic equation with solutions

$h =21ft\\h = 105ft.$

Since the first solution $h =21ft$ will give the triangle base length of $21ft-49ft = -28ft$ which is negative; therefore, we disregard it and pick the solution $h = 105ft$ .

Hence, the height of the pole is 105ft.

3 0

3 years ago

Jane sold a radio costing sh.3800 at a profit of 20%.She earned a commission of 22 1/2% on the profit.Find the amount he earned

aalyn [17]

Answer:

20%=3800 => all of it is 19000

i didn't undrestand what do you want

sorry:)

3 0

3 years ago

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th

kaheart [24]

Answer:

3/10

Step-by-step explanation:

Step 1 : Write the formula of calculating probability

Probability = Number of favourable outcomes/Number of total outcomes

Step 2 : Identify the favourable (requires) outcomes and the total outcomes

Total outcomes are the total cards that are placed on the table = 10 cards
The favourable outcomes are the number of cards that have an even number on them.

12, 14, 18 = 3 cards

Step 3 : Substitute the values in the formula

Probability = Number of favourable outcomes/Number of total outcomes

Probability = 3/10

Therefore, the probability of picking a card with and even number is 3/10.

7 0

3 years ago

What number belongs in the space next to 10? Look at pic. A)19 B)18 C)17 D)16 E)15

AleksandrR [38]

the equation is 2x-1 right so all you have to do is plug and go

2x-1

2x10-1

20-1

so your answer would be A)19

5 0

3 years ago

What is the relationship between the discriminant of a quadratic and its graph?

faltersainse [42]

Answer:

In a quadratic equation of the shape:

y = a*x^2 + b*x + c

we hate that the discriminant is equal to:

D = b^2 - 4*a*c

This thing appears in the Bhaskara's formula for the roots of the quadratic equation:

$x = \frac{-b +-\sqrt{b^2 - 4ac} }{2a}$

You can see that the determinant is inside a square root, this means that if D is smaller than zero we will have imaginary roots (the graph never touches the x-axis)

If D = 0, the square root term dissapear, and this implies that both roots of the equation are the same, this means that the graph touches the x axis in only one point, wich coincides with the minimum/maximum of the graph)

If D > 0 we have two different roots, so the graph touches the x-axis in two different points.

4 0

3 years ago