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CaHeK987 [17]
3 years ago
13

The shortest distance from the center of a circle to a line tha is tangent to a circle is

Mathematics
1 answer:
dsp733 years ago
5 0
Congruent? prob. not
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Claire is baking items for a school bake sale. She needs 2 cups of flour for cookies, and 1 cups of flour for banana bread. How
Daniel [21]

Answer: B (3 cups)

Step-by-step explanation:

Add 2 cups + 1 cup together, and you get 3 cups. C is incorrect (in this scenario) because it doesn’t describe what measurement it’s in.

7 0
2 years ago
Please solve i will give brainiest 100 point question ****** do the whole page please need to pass or i will fail its my final t
dmitriy555 [2]

Answer:

1. Find the difference between the areas.

<u>Area of the small rectangle</u>: (x+2)(x+7)=x^2+7x+2x+14=x^2+9x+14

<u>Area of the big rectangle</u>: (x+9)(x+11)=x^2+11x+9x+99=x^2+20x+99

The difference is: 11x+85

( x^2+20x+99)- (x^2+9x+14)=x^2+20x+99-x^2-9x-14=11x+85

2.

You can solve this question just by looking at the graph.

a) The height is 4 meters.

f(d)=h=-2d^2+7d+4

To find the height of the bleachers, we should consider the moment before the shoot, when the distance is equal to 0.

f(0)=h=-2(0)^2+7(0)+4

h=4

The height is 4 meters.

b) 9 meters.

For d=1

f(1)=h=-2(1)^2+7(1)+4

f(1)=h=-2+7+4

h=9

b) The ball travels 4 meters.

But to calculate it, it is when h=0

0=-2d^2+7d+4

Using the quadratic formula:

$d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$d=\frac{-7 \pm \sqrt{7^2-4\left(-2\right)4}}{2\left(-2\right)}$

$d=\frac{-7\pm\sqrt{81}}{-4}$

$d=\frac{-7\pm9}{-4}$

It will give us to solutions, once it is a quadratic equation, but we are talking about a positive distance.

$d=-\frac{1}{2} \text{ or }d=4$

3.

In this question, we have to find the area of the cylinder and the sphere.

From the information given, we have

a = 5mm and d = 5mm, therefore the radius is 2.5 mm.

The volume of a cylinder:

V=\pi r^2h

V=\pi (2.5)^2 \cdot 5

V=31.25 \pi

V_{c} \approx 98.17 \text{ m}^3

The volume of the sphere:

$V=\frac{4}{3}  \pi r^2$

V_{s} \approx 65.4 \text{ m}^3

The volume of the capsule is approximately 163.57  \text{ m}^3

3 0
3 years ago
You have 2/3 of sugar how muck sugar will you use if you makes 6 batches of cookies
zalisa [80]

Answer:

4

Step-by-step explanation:

1 batch = 2/3

so 6 batches = 2/3 * 6

and 2/3 *6 = 4 !

4 0
3 years ago
The total simple interest on $1600 invested for five years is $224. What is the percentage rate per annum?
mash [69]

Answer:

The percentage rate per annum is 2.8%

Step-by-step explanation:

We need to multiply the principal by the time, then divide the interest by the product of P×T, so:

1,600 × 5 = 8,000

224 ÷ 8,000 = 0.028

Then we convert our final product to a percentage.

0.028 to a percent is 2.8%

6 0
2 years ago
Read 2 more answers
Which line has a slope of 2?
sveta [45]
The line that has the slope of 2 is Line C.
5 0
3 years ago
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