I need help with 3, 5, 8, and 10

Sam put $2,000 in a savings account at his bank. After 10 years, his account balance was $4,000. The interest rate on the saving

kkurt [141]

rule of 70:

number of years for savings to double = 70/ interest rate

account doubles in 10 years

so you have 10 = 70/x

x = 70/10 = 7%

7 0

2 years ago

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A square rotated about its center by 360º maps onto itself at(1,2,3,4) different angles of rotation. You can reflect a square on

Sladkaya [172]

A square rotated about its center by 360º maps onto itself at 90°, 180°, 270° and 360° - 4 different angles of rotation.

You can reflect a square onto itself across two diagonals and two segments that connects the middlepoints of opposite sides - 4 different lines of reflection.

7 0

2 years ago

HELP I WILL NAME YOU BRAINLIEST!! Given: Circumscribed polygon ACEG B, H, F, D -points of tangency AB=5, CD=4, DE=3, FG=2 Find:

wolverine [178]

Answer:

perimeter = 28

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

AH = AB = 5

GH = GF = 2

EF = ED = 3

CB = CD = 4

Sum the 8 parts for perimeter of polygon ACEG

perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28

4 0

2 years ago

greyhounds can reach speeds of 20.1 meters per second. which conversion factor can be used to find this speed in meters per minu

Allisa [31]

Multiply by 60, there are 60 seconds in a minute. It would be 1206 meters/minute

4 0

2 years ago

While visiting Yosemite National Forrest, Joe approximated the angle of elevation to the top of a hill to be 40 degrees. After w

NARA [144]

Draw a diagram to illustrate the problem as shown in the figure below.

Let h = the height of the hill.
At position A, the angle of elevation is 40°, and the horizontal distance to the foot of the hill is x.
By definition,
tan(40°) = h/x
h = x tan40 = 0.8391x (1)

At position B, Joe is (x - 450) ft from the foot of the hill. His angle of elevation is 40 + 18 = 58°.
By definition,
tan(58°) = h/(x - 450)
h = (x - 450) tan(58°) = 1.6003(x-450)
h = 1.6003x - 720.135 (2)

Equate (1) and (2).
1.6003x - 720.135 = 0.8391x
0.7612x = 720.135
x = 946.0523

From (1), obtain
h = 0.8391*946.0523 = 793.8 ft

Answer: The height of the hill is approximately 794 ft (nearest integer)

8 0

2 years ago