I’ll mark brainliest I’m so lost w this

Mathematics

1 answer:

ra1l [238]3 years ago

5 0

Answer:

The Area of the sector is: A = 95.4 cm²

Step-by-step explanation:

Given

Central angle Ф = 135°

radius r = 9 cm

To determine

Area of the sector = ?

The Area of the sector can be calculated using the formula

A = Ф/360 × πr²

substitute Ф = 135°, r = 9 and π = 3.14

A = 135/360 × (3.14) (9)²

A = 95.4 cm²

Therefore, the Area of the sector is: A = 95.4 cm²

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Ian puts 300.00 into an account to use for school expenses the account earns 6%interest compounded annually how much will be in

romanna [79]

This problem is about componded interest. The formula for compounded interest is:

$\begin{gathered} \text{Amount}=\text{Initial}\cdot(1+r)^t \\ \text{Where,} \\ \text{Amount is the total acumulative at time t.} \\ \text{Initial is the initial amount, at t=0} \\ r\text{ is the interest in decimal number.} \\ t\text{ is the time accordingly the interest, in this case is in years.} \end{gathered}$

In this case, Initial = 300, r = 0.06 and t=10 so the total amount in the account after 10 years is:

$\begin{gathered} \text{Amount}=300\cdot(1+0.06)^{10} \\ \text{Amount}=300\cdot1.06^{10} \\ \text{Amount}=300\cdot1.79085 \\ \text{Amount}=537.255 \end{gathered}$

The amount after 10 years is 573.26.

4 0

1 year ago

4) (Assume AR is tangent) Given: AR 12 SR - 7.7 Find: cs (Round to nearest tenth.)

andreev551 [17]

The length of CS is 11.0

Explanation:

Given that the length of the tangent AR is 12

The length of SR is 7.7

To find: The length of CS

The tangent secant theorem states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."

Applying the tangent secant theorem, we have,

$AR^2=SR\times RC$