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alukav5142 [94]
3 years ago
8

Which formula can be used to describe the sequence? -2 2/3,-5 1/3,-10 2/3, -21 1/3, -42 2/3

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Correct answer is third option ---C in edge

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A radio transmission tower is 190 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is t
gladu [14]

Answer:

343.7 ft

Step-by-step explanation:

The wire is anchored 190 -13 = 177 ft from the ground. That distance is opposite the given angle (31°). The measure you want is the hypotenuse of the triangle with that side and angle measures.

The mnemonic SOH CAH TOA reminds you that the relation between the opposite side, hypotenuse, and angle is ...

Sin(angle) = Opposite/Hypotenuse

Filling in the given information, you have ...

sin(31°) = (177 ft)/hypotenuse

Solving for hypotenuse gives

hypotenuse = (177 ft)/sin(31°) ≈ 343.7 ft

The length of the guy wire should be 343.7 ft.

5 0
3 years ago
the sum of two numbers is 75. The second number is three less than twice the first. what is the larger number?
KatRina [158]

Answer:

49

Step-by-step explanation:

If the smaller number is

x

, then the larger number is

2

x

−

3

Explanation:

(

x

)

+

(

2

x

−

3

)

=

75

3

x

−

3

=

75

3

x

=

78

x

=

26

The numbers are 26 and 49.

5 0
3 years ago
Divide the fractions and simplify the answer 60 / 2 2/3
balu736 [363]
2 2/3 as a decimal is 2.66666667. 60 divided by 2.66666667 is 22.5.
As a fraction, the answer will be 22 5/10

Please mark my answer as the brainliest answer, I'd really appreciate it, thanks!
6 0
2 years ago
Read 2 more answers
What is the surface area of the rectangular pyramid shown? 59.5 cm2 63 cm2 75.5 cm2 99 cm2
arsen [322]

Answer:

Option D.

Step-by-step explanation:

In this question figure of pyramid is attached below the question .

Surface area of the rectangular pyramid :

Area of the Base = Length × Width

                            = 10 × 2 = 20 cm²

Area of Lateral #1 = \frac{1}{2}(P)(L)

                             = \frac{1}{2}(10\times6.3)

                             = 31.5 cm²

Area of Lateral #2 = \frac{1}{2}(8\times 2)

                               = \frac{16}{2}

                               = 8 cm²

Surface area of the pyramid = 20 + 2(31.5) + 2(8)

                                                = 20 + 63 + 16

                                                = 99 cm²

Surface area of the pyramid is 99 cm²

7 0
3 years ago
Read 2 more answers
A rectangular prism with length 12 m , width 8 m & height 15 m , find its surface area .
Irina-Kira [14]

Answer: 792\ m^2

Step-by-step explanation:

Given

The length of the rectangular prism is l=12\ m

width of the rectangular prism is w=8\ m

height of the rectangular prism is h=15\ m

The surface area of the rectangular prism is 2[wl+lh+hw]

Put the values

\Rightarrow 2[8\times 12+15\times 12+15\times 8]\\\Rightarrow 2[96+180+120]=2\times 396\\\Rightarrow 792\ m^2

The surface area of the rectangular prism is 792\ m^2

7 0
3 years ago
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