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valentinak56 [21]
3 years ago
7

Covert 50% into a decimal

Mathematics
1 answer:
BigorU [14]3 years ago
3 0

Converting From Percent to Decimal

When we divide 50 by 100 we get 0.5 (a decimal number).

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In the given diagram, if AP = 15 cm, AQ = 24 cm and PB + QC = 26 cm, find QC – PB, given PQ || BC.
Anna35 [415]

Answer:

QC - PB = 6

Step-by-step explanation:

Given PQ is parallel to BC then it divides the sides proportionally, that is

\frac{AP}{AQ} = \frac{PB}{QC} = \frac{15}{24} = \frac{5}{8} , then

\frac{PB}{QC} = \frac{5}{8} ( cross- multiply )

8PB = 5QC → *

Given PB + QC = 26 , then

PB = 26 - QC

Substitute into *

8(26 - QC) = 5QC ← distribute left side

208 - 8QC = 5QC ( subtract 5QC from both sides )

208 - 13QC = 0 ( subtract 208 from both sides )

- 13QC = - 208 ( divide both sides by - 13 )

QC = 16

Thus PB = 26 - QC = 26 - 16 = 10

QC - PB = 16 - 10 = 6

8 0
3 years ago
Please help
denpristay [2]

9514 1404 393

Answer:

  • 260 miles
  • $73.80

Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

  (y) -(y) = (40 +0.13x) -(53 +0.08x)

  0 = -13 +0.05x

Multiplying by 20 gives ...

  0 = -260 +x

Adding 260, we have ...

  x = 260

The plans cost the same for 260 miles of driving.

__

The cost of the plans for that distance is ...

  y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

  y = 73.80

The cost when the two plans cost the same is $73.80.

8 0
2 years ago
This glass is 5 in tall and 2.5 inches
Finger [1]

The cubic inches left is 20.05 cubic inches.

<h3 /><h3>Description of the glass </h3>

A glass has the shape of a cylinder. In order to determine which glass is left, the volume of the glass has to be determined. Then what is drank would be subtracted from the volume of the glass.

<h3>Volume of the cylinder. </h3>

Volume of a cylinder = nr^2h

  • n = 22/7
  • r = radius= 2.5 / 2 = 1.25

22/7 x 1.25^2 x 5 = 24.55 cubic inches

<h3>Determination of what is left </h3>

24.55 - 4.5 = 20.05 cubic inches

To learn more about to determine the volume of a cylinder, check: brainly.com/question/9624219

7 0
2 years ago
The heights of adult females are normally distributed with mean 160 cm and standard deviation of 8 cm. Use the z-table, find the
lisabon 2012 [21]
I think answer should be 200 please give me brainlest I hope this helps let me know if it’s correct thanks
4 0
2 years ago
Find angle D if angle B = 50
Mariana [72]
<h3>Answer:  80 degrees</h3>

============================================================

Explanation:

I'm assuming that segments AD and CD are tangents to the circle.

We'll need to add a point E at the center of the circle. Inscribed angle ABC subtends the minor arc AC, and this minor arc has the central angle AEC.

By the inscribed angle theorem, inscribed angle ABC = 50 doubles to 2*50 = 100 which is the measure of arc AC and also central angle AEC.

----------------------------

Focus on quadrilateral DAEC. In other words, ignore point B and any segments connected to this point.

Since AD and CD are tangents, this makes the radii EA and EC to be perpendicular to the tangent segments. So angles A and C are 90 degrees each for quadrilateral DAEC.

We just found angle AEC = 100 at the conclusion of the last section. So this is angle E of quadrilateral DAEC.

---------------------------

Here's what we have so far for quadrilateral DAEC

  • angle A = 90
  • angle E = 100
  • angle C = 90
  • angle D = unknown

Now we'll use the idea that all four angles of any quadrilateral always add to 360 degrees

A+E+C+D = 360

90+100+90+D = 360

D+280 = 360

D = 360-280

D = 80

Or a shortcut you can take is to realize that angles E and D are supplementary

E+D = 180

100+D = 180

D = 180-100

D = 80

This only works if AD and CD are tangents.

Side note: you can use the hypotenuse leg (HL) theorem to prove that triangle EAD is congruent to triangle ECD; consequently it means that AD = CD.

5 0
3 years ago
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