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3 years ago

Glen has a total of 16 pens. 6 of the pens are blue, and the rest are red. what is the ratio of blue pens to red pens?

Mathematics

2 answers:

Ivahew [28]3 years ago

8 0

Answer:

3:5

Before simplifying was 6:10

6:10 is the same as 3:5

Step-by-step explanation:

mote1985 [20]3 years ago

5 0

3:5

The ratio before simplifying was 6:10

6:10 is the same as 3:5

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Given: ∆ABC –iso. ∆, m∠BAC = 120°

lidiya [134]

Answer: $P\triangle ADH = (a+b+\sqrt{a^2+b^2} )$ unit

Step-by-step explanation:

Since Here Δ ABC is a isosceles triangle.

Also, $AH\perp BC$ and $HD\perp AC$

Thus, ∠ ADH = 90°

That is, Δ ADH is the right angle triangle.

In which, AD = a unit and HD = b unit

And, By the definition of Pythagoras theorem,

$AH^2 = HD^2 + AD^2$

⇒ $AH^2 = a^2 +b^2$

⇒ $AH = \sqrt{a^2+b^2}$

Since, the perimeter of a triangle = sum of the all sides of the triangle.

Therefore, perimeter of ΔADH = AD + DH + AH

= $a + b + \sqrt{a^2+b^2}$ unit

4 0

3 years ago

Suppose a railroad rail is 3 kilometers and it expands on a hot day by 15 centimeters in length. Approximately how many meters w

earnstyle [38]

Answer:

Answer: 13.4 m

Step-by-step explanation:

For small angles, x, in radians,

tan(x) ≈ sin(x) = x

Use this to create an approximate diagram for the problem as shown in the figure below.

The actual deflected shape is parabolic, but it is approximated by an isosceles triangle with small equal angles.

The extend length is 3 km + 12 cm, which is

3000 + 0.12 = 3000.12 m

Half of the extended length is 1500.06 m

Let h+ the rise of the center of the rail above ground.

From the Pythagorean theorem, obtain

h² + 1500² = 1500.6²

h² = 1500.06² - 1500² = 180.004

h = 13.4 m, which is about 0.9% of the original length.

Read more on Brainly.com - brainly.com/question/5596356#readmore

6 0

3 years ago

The area of a circle is approximately 379.94 square inches. What is the diameter of the circle? [Use 3.14 as an approximation fo

ycow [4]

A...area = 379.94 in^2

π=3.14

r...radius

d...diameter= 2r

A= π*r^2

r^2=A/π

r=√(A/π) = 11 in

d=2r =22 in

8 0

3 years ago

During a certain epidemic, the number of people that are

qaws [65]

9514 1404 393

Answer:

1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

8 0

3 years ago

Rewrite equation -6x+3y=-18

chubhunter [2.5K]

Answer:

Step-by-step explanation:

assuming your rewriting it in slope-intercept form

-6x + 3y = -18 slope-intercept form is y = mx + b so we must get it in that format

first we divide the 3 from 3y but whatever we do to that we must so to all so -6x and -18 are also going to be divided by 3 and you will get

-2x + y = -6 after dividing everything by 3

now you want to add 2x to the left side to cancel out that -2x but whatever you do to one side you must do to the other so its going to be

y = 2x - 6

This should be your answer hope this helps

y = 2x - 6

8 0

3 years ago