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3 years ago

On a test with 25 problems, Grace got 88% correct. How Manny problems did Grace get correct?

Mathematics

2 answers:

Sloan [31]3 years ago

6 0

She got 22 problems correct

Trava [24]3 years ago

4 0

It would be 22 because 22/25=0.88 which is 88 as a percent. You could find this by guessing the number and checking or by multiplying the number of problems by the percentage (as a decimal). So in this case 25x0.88=22

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PLEASE HElP WILL GIVE BRAINLIEST

marusya05 [52]

Answer:

there u go sweetie

Step-by-step explanation:

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3 years ago

Let L be a tangent line to the hyperbola x y = 2 at x = 9 . Find the area of the triangle bounded by L and the coordinate axes.

mafiozo [28]

Answer:

$A = 4$

Step-by-step explanation:

The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:

$y = \frac{2}{x}$

$y'=-2\cdot x^{-2}$

The numerical value of the slope is:

$y' = -2 \cdot (9)^{-2}\\y' = -\frac{2}{81}$

The component of the y-axis is:

$y = \frac{2}{9}$

Now, the tangent line has the following mathematical model:

$y = m \cdot x + b$

The value of the intercept is found by isolating it within the equation and replacing all known variables:

$b = y - m \cdot x$

$b = \frac{2}{9}-(-\frac{2}{81} )\cdot (9)\\b = \frac{4}{9}$

Thus, the tangent line is:

$y = -\frac{2}{81}\cdot x + \frac{4}{9}$

The vertical distance between a point of the tangent line and the origin is given by the intercept.

$d_{y} = \frac{4}{9}$

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:

$-\frac{2}{81}\cdot x + \frac{4}{9}=0$

$-\frac{2}{9}\cdot x + 4 = 0$

$x = 18$

$d_{x} = 18$

The area of the triangle is computed by this formula:

$A = \frac{1}{2}\cdot d_{x}\cdot d_{y}$

$A = \frac{1}{2}\cdot (18)\cdot (\frac{4}{9} )$

$A = 4$

4 0

3 years ago

Help please like hurry!!

adelina 88 [10]

The answer is a 36
This is because if you take the area of one of the three triangles that make up the trapezoid you do 1/2 base times height and get 12 and you add all three together thus getting 36 square inches

5 0

3 years ago

Read 2 more answers

Which list of ordered pairs represents solutions to x + y = 2 ?

Sloan [31]

(-4, 6), (0, 2), (4, -2) are all ordered pairs that have the sum as 2.
-4+6 is the same thing as 6-4 if there's more positive than negative
0+2=2 because 0 plus a number equals to that number
4-2=2 because you're adding a negative number with the positive number together to get the answer

Just be aware that I might not make any sense at all

3 0

3 years ago

Given: ABCD is a trapezoid, AC ⊥ CD AB = CD, AC=the square root of 75 , AB = 5 Find: AABCD

Ugo [173]

In this attached picture according to the conditions of the problem we have an isosceles trapezoid and since we know that legs are equal (AD=BC=5 cm), we have to calculate bases and height in order to find the area. Working with the triangle BCD, we apply Pythagoras theorem and find that CD = $\sqrt{75+25}$ = 10 cm. Since BDC is a right triangle, applying theorem for the area of triangles, we find that $\frac{1}{2} * BF = \frac{1}{2} * 5 * \sqrt{75}$ and BF= $0.5\sqrt{75}$ . Since ABCD is an isosceles trapezoid, triangles ADE and BFC are congruent with Angle Side Angle theorem. Then, DE=FC and with the help of Pythagoras theorem, DE=FC=2.5 cm. Then, AB=EF=5 cm and the area of the trapezoid is $A= BF * \frac{AB+CD}{2} = 0.5 \sqrt{75} * \frac{5+10}{2} = 18.75 \sqrt{3} cm^{2}$

3 0

3 years ago