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2 years ago

Please help aaa

Mathematics

2 answers:

Setler79 [48]2 years ago

7 0

Answer:

13/14

Step-by-step explanation:

13/35 is the probability of drawing 2 red candies.

2/5 = 14/35 is the probability of drawing 1 red candy.

13 and 14 make 13/14.

Hope This Helps :)

timofeeve [1]2 years ago

5 0

Drawing 2 red candies without replacement is 13/35.

Probability of picking one is 2/5.

We can say that the probability of the first candy being red is 2/5

So the probability of the second candy also being red would be 13/35 divided by 2/5 which = 13/14.

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Tshepo needs R5 000 urgently. He goes to the bank and borrows the money at an interest rate of 28% per annum, compounded monthly

12345 [234]

Answer:

R8000.

Step-by-step explanation:

First, let's calculate the amount they are going to have to pay the bank after 1 year. It is given by the following expression:

R5 000 * 1.28= R6400

Therefore, they have to pay R6400/12 monthly.

Now, in fifteen months the total amount to pay should be (R6400/12) * 15= R8000.

8 0

1 year ago

a 15-foot telephone pole has a wire that extends from the top of the pole to the ground. The wire and the ground form a 42 degre

scoundrel [369]

Answer:

The length of the wire is 22.42 feet

The distance from the base of the pole to the spot where the wire touches the ground is 16.66 feet

Step-by-step explanation:

* Lets explain the situation in the problem

- The telephone pole , the wire and the ground formed a right triangle

- The wire is the hypotenuse of the triangle

- The height of the telephone pole and the distance from the base of

the pole to the spot where the wire touches the ground are the legs

of the triangle

- The angle between the wire and the ground is 42°

- The angle 42° is opposite to the height of the telephone pole

- The height of the telephone pole is 15 feet

* Lets use the trigonometry functions to find the length of the wire

(hypotenuse) and the distance from the base of the pole to the spot

where the wire touches the ground

∵ sin Ф = opposite/hypotenuse

∵ Ф = 42° and its opposite side = 15 feet

∴ sin 42 = 15/hypotenuse ⇒ by using cross multiplication

∴ sin 42° (hypotenuse) = 15 ⇒ divide both sides by sin 42

∴ hypotenuse = 15/sin 42° = 22.42 feet

∵ The length of the wire is the hypotenuse

∴ The length of the wire is 22.42 feet

∵ The distance from the base of the pole to the spot where the wire

touches the ground is the adjacent side to the angle 42°

∵ tan Ф = opposite/adjacent

∴ tan 42° = 15/adjacent ⇒ by using cross multiplication

∴ tan 42° (adjacent) = 15 ⇒ divide both sides by sin 42

∴ adjacent = 15/tan 42° = 16.66 feet

∵ The adjacent side is the distance from the base of the pole to the

spot where the wire touches the ground

∴ The distance from the base of the pole to the spot where the wire

touches the ground is 16.66 feet

7 0

3 years ago

Given a term and the common difference, find the explicit formula. 8. a(19) = 135 d = 15

Rasek [7]

The explicit formula is a(n) = 15(n – 10)

Solution:

Given, a term a(19) = 135 and common difference d = 15

We have to find the explicit formula.

Now, we know that, a(n) = a + (n – 1)d where a(n) is nth term, a is first term, d is common difference,

So, for a(19)

$\begin{array}{l}{\rightarrow a(19)=a+(19-1) 15} \\\\ {\rightarrow 135=a+18 \times 15} \\\\ {\rightarrow a=135-270} \\\\ {\rightarrow a=-135}\end{array}$

Now, we know that, an explicit formula is an expression for finding the nth term,

So, in our problem, expression for finding nth term is a + (n – 1)d

$\begin{array}{l}{\rightarrow-135+(n-1) 15} \\\\ {\rightarrow-135+15 n-15} \\\\ {\rightarrow 15 n-150} \\\\ {\rightarrow 15(n-10)}\end{array}$

Hence, the explicit formula is a(n) = 15(n – 10).

7 0

3 years ago

Find the perimeter of OQR if OQ=6.5. A. 6.1 B. 12.2 C. 13 D. 19.1

Svetach [21]

ANSWER

The correct answer is 19.1

EXPLANATION

The perimeter of triangle OQR is the sum of the distance around the triangle.

Thus,

$Perimeter=|OQ|+|OR|+|RQ|$

We can observe that two of the angles are equal.

The angles that are equal measures 62° each.

Therefore triangle OQR is an isosceles triangle. This means that

$|OQ|=6.5=|OR|$

Hence,

$Perimeter=6.5+6.5+6.1$

$Perimeter=19.1$ units.

3 0

2 years ago

Read 2 more answers

1. Sarah bought a mango tree that grows 4 cm each day. It was 10 cm tall when she bought it and now it is 82 cm. Write an equati

laiz [17]

82 = 4x-10

72 = 4x
x = 72/4
x = 18

she owned it for 18 days

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3 years ago

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