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3 years ago

What are the eight-digit grid coordinates for benchmark 86 (circled in red)?

Mathematics

1 answer:

Alex777 [14]3 years ago

3 0

Answer:

An eight-digit grid coordinate gives a precision to the nearest 10 meters

Step-by-step explanation:

Grid coordinates are meant to accurately direct to a specific location, using a map that comes with vertical and horizontal lines of equal spacing and numbers attached to each line to map out a location. The crossing vertical and horizontal lines have unique numbers and form small squares known as grid squares.

The more digits in the coordinate of a point the increase in precision an eight- digit gives a precision to the nearest 10 meters

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With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1

Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

$sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894$ (nearest thousandth)

6 0

3 years ago

Find the distance CD rounded to the nearest tenth (5-2)^2 +(6-2)^2

amid [387]

(5−2)^2+(6−2)^2 = 25

(3)^2 + (4)^2

(9) + (16) = 25

3 0

3 years ago

What is the value represented by "y" in the equivalent ratio: 10:45 = 2:y? *

Andrei [34K]

Answer:

Step-by-step explanation:

2 x 5 = 10

9 x 5 = 45

10:45 = 2:9

7 0

3 years ago

Joan receives a $7 weekly allowance plus $6 for each hour she helps her father paint. Ernie writes the equa on to represent the

zalisa [80]

C... hope this will help!

7 0

4 years ago

Read 2 more answers

Mr. Juarez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. Th

olga_2 [115]

Answer:

$576.80

Step-by-step explanation:

We have been given that Mr. Juárez opened a savings account with an initial deposit of $560 and will not make any additional deposits or withdrawals. The account earns 1% simple interest.

We are asked to find the total amount that Mr. Juárez will have in his account at the end of 3 years.

We will use simple interest formula to solve our given problem.

$A=P (1+rt)$

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert 1% into decimal form,

1%=1/100=0.01

P=$560 and t=3

A=$560 (1+0.01(3))

A=$560 (1+0.03)

A= $560 (1.03)

A= $576.80

Therefore, Mr. Juárez will have $576. 80 in his account at the end of 3 years. Hope this helps!

5 0

3 years ago