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3 years ago

A cookie recipes call for 2 3/4 cups of flour and 2 1/2 cups of sugar. Will you be using more flour or sugar to bake the cookies

1 answer:

3 0

More flour cause you put the fractions over the same denominator and change to an improper fraction to get 2 3/4 = 11/4 and 2 1/2 = 5/2 = 10/4 and 11/4 is greater than 10/4.

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Item 7 A parabolic spotlight is being designed with the lightbulb at the focus point. If the lightbulb is placed 2.5 inches abov

gtnhenbr [62]

Answer:

The width of the spotlight is 20 inches

Step-by-step explanation:

The location of the bulb = 2.5 inches above the vertex

The height of the spotlight = 10 inches

The width of the spotlight =

The

The height of

The equation of a parabola is given as follows;

(x - h)² = 4p(y - k)

Focus, (h, k + p) = (0, 2.5)

y = k - p

k + p = 2.5

Vertex = (h, k) = (0, 0), therefore, k = 0

p = 2.5

We have;

(x - 0)² = 4p(y - 0)

x² = 4×2.5 × y = 10·y

Therefore, given that y = 10, we have;

x² = 10 × 10 = 100

x = √100 = ±10

The coordinates of the two end points are;

(-10, 10), and (10, 10)

Therefore, the width of the spotlight = the distance between the end points

Given that the y-values are the same, we have

Distance = 10 - (-10) = 10 + 10 = 20 inches

∴ The width of the spotlight = 20 inches.

4 0

3 years ago

How many solutions are there?

Anika [276]

There is one solution because the lines intersect only once.

4 0

3 years ago

Read 2 more answers

294 simplify the radicals

MrRissso [65]

7√6 or in decimal form it’s 17.1464819....

4 0

3 years ago

Challenge: Find the area of the polygon.

3241004551 [841]

Answer:

$3.6 {m}^{2}$

Step-by-step explanation:

The area of a rectangle is length times width.

We divide the polygon into 4 rectangles:

The area of the first rectangle is :

$0.4 \times 0.4 = 0.16 {m}^{2}$

The area of the second rectangle is

$2.4 \times 0.6 = 1.44 {m}^{2}$

The area of the 3rd rectangle is

$1.6 \times 1 = 1.6 {m}^{2}$

The area of the fourth rectangle is

$0.4 \times 1 = 0.4 {m}^{2}$

Putting all together, the area of the polygon is;

0.16+1.44+1.6+0.4=3.6m²

4 0

3 years ago

I need help,, and thanks☺

Anon25 [30]

Use the law of cosines. c^2= a^2 + b^2 - (2ac*cos (C))

5 0

3 years ago