train tickets costs: $130 (t)
Bus ticket cost: ? (b)
the bus ticket cost $26
A short necklace has 32 gold beads and 8 black beads.
1 answer:
Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:
Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:
60 ÷ 5 = 12
12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:
48: 12 = 4: 1
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Answer:
The answer to each question is:
- A.) 403.2
- B.) 100. 8
Step-by-step explanation:
A.) To obtain the area of the dodecagon, you can use the next formula:
- Area of a dodecagon = 6 * apothem * edge
In the exercise, we have the edge (6 cm), but, to find the apothem of a dodecagon, that is the distance between the center of the polygon, and the middle point of each side, you can use the next formula:
- Apothem = Edge *
If we replace the value of the edge, we obtain:
- Apothem = 6 cm *
- Apothem = 11.2 cm (approximately).
With this data, we can find the area:
- Area of a dodecagon = 6 * apothem * edge
- Area of a dodecagon = 6 * 11.2 cm * 6 cm
- Area of a dodecagon = 403.2
Then,<u> the area of the dodecagon is 403.2 </u><u> approximately</u>.
B.) As the area obtained is for 12 pieces, when the parents ate 9 pieces, just left 3 pieces, with these values you can make a rule of three.
If:
- 12 pieces = 403.2
- 3 pieces = X
Then:
- X = (3 * 403.2
) / 12
- X = 1209.6
- X = 100. 8
In this form, <u>when the cookie has 3 pieces, its area is 100. 8 </u><u> approximately</u>.
Answer:
Step-by-step explanation:
Given
Position of particle is
i.e. distance from x axis is
Distance from y axis at
velocity is given by
Similarly acceleration is given by
Magnitude of acceleration is
From 1 and 2 we can see that
Magnitude of acceleration is proportional to distance from x axis
Answer:
c = 5√5
Step-by-step explanation:
When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"
First, let's understand the basic terms we use to describe the sides of a triangle:
we can call one leg "a", the other leg "b" and the slanted side "c"
("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)
the pythagorean theorem:
a² + b² = c²
here, our "a" is 5, our "b" is 10 {and we don't know what c is}
let's try plugging these values into our formula:
a² + b² = c²
5² + 10² = c²
25 + 100 = c²
125 = c²
now, we know what c² is--but we want to know c,
so we must take the square root of both sides
√125 = √c²
√125 = c
now, while √125 <em>is </em>our answer, we can simplify further!
this is because 125 can be made up of 5 · 25
so,
and
we can take out the square root of 25 (5):
we write this as such:
so, in simplest radical form, c = 5√5
(√125)
hope this helps!! have a lovely day :)