A

Mathematics

1 answer:

valentina_108 [34]3 years ago

3 0

Answer:

Reflect Quadrilateral A over the x-axis. Label the image quadrilateral B. Reflect

Quadrilateral B over the y-axis. Label the image C.

Step-by-step explanation:

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Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offe

disa [49]

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

$Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44$

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

7 0

3 years ago

A sector with an area of 26pie cm^2 has a radius of 6 cm. What is the central angle measure of the sector in radians?

Zolol [24]

Answer:

The central angle measure of the sector in radians is $\theta=\frac{13}{9}$ .

Step-by-step explanation:

A sector of a circle is the portion of a circle enclosed by two radii and an arc. It resembles a "pizza" slice.

The area of a sector when the central angle is in radians is given by

$A=(\frac{\theta}{2})\cdot r^2$

where

r = radius

θ = central angle in radians

We know that the area of the sector is $26 \:cm^2$ and the radius is 6 cm. Applying the above formula and solving for the central angle ( $\theta$ ) we get that

$26=(\frac{\theta}{2})\cdot (6)^2\\\\\left(\frac{\theta}{2}\right)\left(6\right)^2=26\\\\\frac{\frac{\theta}{2}\cdot \:6^2}{36}=\frac{26}{36}\\\\\frac{\theta}{2}=\frac{13}{18}\\\\\theta=\frac{13}{9}$