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Simora [160]
3 years ago
8

Find the value of x, rounded to the nearest tenth​

Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

Answer:

x ≈ 8.9

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle, the the square of the tangent is equal to the product of the external part of the secant and the entire secant, that is

x² = 8(8 + 2) = 8 × 10 = 80 ( take the square root of both sides )

x = \sqrt{80} ≈ 8.9 ( to the nearest tenth )

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Find the area of the compound shape below.pls help
trapecia [35]

Answer:

22cm²

Step-by-step explanation:

For the area of triangle,

base = 2 + 2 + 2 = 6cm

height = 4cm

Area = 1/2 x base x height

= 1/2 x 6 x 4

= 12cm²

For area of the rectangle,

length = 5cm

breadth = 2cm

Area = length x breadth

= 5 x 2

= 10cm²

Area of compound shape = 12 + 10 = 22 cm²

4 0
3 years ago
Geometry help please ASAP! Double points!
Tresset [83]
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3 years ago
The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6\text { m}6 m6, space, m lon
iren [92.7K]

First aquarium dimensions:

Length = 6 m.

Width = 4 m and

Height = 2 meter.

Second aquarium dimensions:

Length = 8 m.

Width = 9 m and

Height = 3 meter.

We know formula for volume of a cuboidal box = Length*Width*Height.

Plugging values of length, width and height of first aquarium in formula of volume. We get

V1 = 6*4*2 = 48 m^3.

Plugging values of length, width and height of second aquarium in formula of volume. We get

V2 = 8*9*3 = 216 m^3.

In order to find the total cubic meters of space do the sea turtles have in their habitat, we need to add both volumes.

Therefore, Total voulme of both aquarium = V1 +V2 = 48+216 = 264 m^3.

Therefore, total 264 m^3 cubic meters of space the sea turtles have in their habitat.

8 0
3 years ago
Maria rents a car for one day. The charge is $30 plus the $0.15 per mile. She wants to spend
Levart [38]

Answer:

Maria can drive 400 miles.

Step-by-step explanation:

30 + 0.15x = 90

0.15x = 60

x = 60/0.15

x = 400

7 0
3 years ago
The sum of the digits of a two-digit number is 13. The units digit is one more than twice the tens digit. Find the number, and..
SCORPION-xisa [38]

Answer:

1)49

2)231

Step-by-step explanation:

1)

4+9=13

4*2=8

8+1=9

2)

2+3+1=6

2+1=3

1*2=2

8 0
3 years ago
Read 2 more answers
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