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3 years ago

7

Graph the image of rectangle after a translation 6 units right and 1 unit down.

2 answers:

Klio2033 [76]3 years ago

6 0

Answer:

see image

Step-by-step explanation:

one by one, move each point

djyliett [7]3 years ago

6 0

Use the points and move each point to the right 6 and go down 1 and make a new mark.

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Ships a and b or 1425 feet apart and detect a submarine below them

Verizon [17]

Answer:

$AX = 1084.20$

$BX = 1270.69$

Step-by-step explanation:

See attachment for complete question

Let the position of the submarine be represented with X

Given

$AB = 1425$

$\angle A = 59^{\circ}$

$\angle B = 47^{\circ}$

First, we calculate angle at X.

$\angle X + \angle A + \angle B = 180$

$\angle X + 59^{\circ} + 47^{\circ}= 180^{\circ}$

$\angle X = 180^{\circ} -59^{\circ} - 47^{\circ}$

$\angle X = 74^{\circ}$

Solving (a): Distance AX: The distance between ship A and the submarine

To do this, we apply sine formula which states

$\frac{a}{sin\ A} = \frac{b}{sin\ B} = \frac{c}{sin\ C}$

In this case:

$\frac{AB}{sin\ X} = \frac{AX}{sin\ B}$

Substitute values for AB, $\angle X$ and $\angle B$

$\frac{1425}{sin(74^{\circ})} = \frac{AX}{sin(47^{\circ})}$

Make AX the subject

$AX = \frac{1425}{sin(74^{\circ})} * sin(47^{\circ})$

$AX = \frac{1425}{0.9613} * 0.7314$

$AX = \frac{1425 * 0.7314}{0.9613}$

$AX = \frac{1042.245}{0.9613}$

$AX = 1084.20$

Solving (b): Distance BX: The distance between ship B and the submarine

To do this, we apply sine formula which states

In this case:

$\frac{AB}{sin\ X} = \frac{BX}{sin\ A}$

Substitute values for AB, $\angle X$ and $\angle A$

$\frac{1425}{sin(74^{\circ})} = \frac{BX}{sin(59^{\circ})}$

Make BX the subject

$BX = \frac{1425}{sin(74^{\circ})} * sin(59^{\circ})$

$BX = \frac{1425}{0.9613} * 0.8572$

$BX = \frac{1425* 0.8572}{0.9613}$

$BX = \frac{1221.51}{0.9613}$

$BX = 1270.69$

7 0

3 years ago

Find 4 consecutive even numbers whose sum is 156?

faust18 [17]

X + (x + 2) + (x + 4) + (x + 6) = 156
   x + x + x + x + 2 + 4 + 6 = 156
       4x + 12 = 156
   - 12   - 12
   4x = 144
      4 4
   x = 36
   x = 36
x + 2 = 38
x + 4 = 40
x + 6 = 42

3 0

3 years ago

What is the median for this list of numbers? 3, 12, 6, 9, 15

Jlenok [28]

Add them all up and divide by 5

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4 years ago

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A group of ten 6- and 12-volt batteries are wired in series. The sum of their voltages is 84 volts. How many of each type of bat

rusak2 [61]

...... I need this as well please help us!!!

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What is the diffrenc e between a 1 1/4 and 3/8

ycow [4]

Answer:

7/8

Step-by-step explanation:

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