If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?

A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?

Dmitry [639]

Answer:

The correct answer is option A. 90°

Step-by-step explanation:

Points to remember

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes on it.

To find the measure of <XYZ

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

3 0

3 years ago

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A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that

marta [7]

Answer:

Initially, we had:

100 grams of a mixture that is 80% seed, (or 0.8 in decimal form)

This means that the quotient between the mass of seeds and the total mass of the mixture is equal to 0.8

Then the mass of seeds, x, can be calculated as:

x/100g = 0.8

x = 0.8*100g

x = 80g

We also have another mixture, that is 5% seed (or 0.05 in decimal form)

This means that in X grams of this mixture, there will be y grams of seeds, such that:

y/X = 0.05

y = 0.05*X grams

Now, we want to create a mixture that is 40% seeds (or 0.4 in decimal form).

Let's do this.

If we add X grams of the 5% mixture, the total mass will be:

M = 100g + X.

The total mass of seeds will be:

m = 80g + X*0.05

and we want that the quotient between the mass of seeds and the total mass to be exactly 0.4

m/M = 0.4

(80g + X*0.05)/(100g + X) = 0.4

Let's solve this for X.

(80g + X*0.05) = 0.4*(100g + X)

80g + X*0.05 = 40g + X*0.4

80g - 40g = X*0.4 - X*0.05

40g = X*0.35

40g/0.35 = X = 114.2g

If we want the mixture to be exactly 40% seeds, we need to add 114.2g of the 5% mixture. (We already can see that Tom is closer to the exact result than Sally)

If we add 114g, like Tom wants, we will have:

M = 100g + 114g = 214g

m = 80g + 0.05*114g = 85.7g

m/M = 85.7g/214g = 0.4005

This is a really good aproximation, if we write this in percentage form this would be:

0.4005*100% = 40.05%

8 0

3 years ago

What one half multiplied by 4/5

MrRa [10]

Answer:

2/5

Step-by-step explanation:

1. 1/2 * 4/5

2. 4/10

3. reduce/divide the fraction by 2

4. you get 2/5

7 0

3 years ago

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyra

mina [271]

Answer:

Akira needs 45 square inches of gold foil to cover the chair free including the bottom

Step-by-step explanation:

Total surface = surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square = $s^2$

where s is the side length

The the surface area of the base = $3^2$ = 9 square inches

Step 2: The surface area of the side triangles 

The area of the triangle = $\frac{1}{2}\times \text{side length} \times \text{slant height}$

On substituting the values,

The area of the triangle = $\frac{1}{2} \times 3 \times 6$

The area of the triangle = $\frac{18}{2}$

The area of the triangle = 9 square inches

Now the area of 4 triangles = 4 x 9 = 36 square inches

Thus the total surface area = 9 + 36 = 45 square inches

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3 years ago

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{x|x is an odd counting number between 8 and 16} find n(a) for the sets of 3-6

Alex

Answer:

vsdddddddddddddddd

Step-by-step explanation:

888iiiiiiiiiiiiit3jjgfifhhh

7 0

3 years ago

If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?​

If you shift the quadratic parent function, Flx) =x, down 9 units, what is the equation of the new function?