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kolezko [41]
3 years ago
11

Find the coordinates of point B on AC such that AB is 2/7 of AC

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

Coordinates of B are (-3,-2)

Step-by-step explanation:

AC in the horizontal direction is 14, so AB in the horizontal direction is 2/7 of 14 which is 4.

​AC in the vertical direction is 7, so AB in the vertical direction is 2/7  of 7, which is 2.

To find the coordinates of B, you move right 4, and up 2 from A towards C.

​  

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The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be r
Tamiku [17]

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

8 0
3 years ago
How do you get angle x using trigonometry in a right angled triangle?
Scorpion4ik [409]

Answer:

Example

Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).

Step 2 SOHCAHTOA tells us we must use Cosine.

Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.

Step 4 Find the angle from your calculator using cos-1 of 0.8333:

3 0
2 years ago
Working alone, it would take Shandra 40 minutes to sand a table. To sand the same table, also working alone, it would take
egoroff_w [7]

Answer:  it will take them about 24 minutes working together

Step-by-step explanation:

1/40    +   1/60 =

6/240 +  4/240 = 10/240 = 1/24

1/24 = 1/t

Cross multiplication:

1*t = 1*24  

t= 24

3 0
2 years ago
Read 2 more answers
Find
shepuryov [24]

Answer:

The two odd numbers are 15 and 17

Step-by-step explanation:

Given

<em>Let the odd numbers be represented with x and y</em>

<em>Let x be the greater number</em>

<em></em>x + 5y = 92<em></em>

<em></em>

<em>Required</em>

Find x and y

Since x and y are consecutive odd numbers and x is greater, then

x = y + 2

Substitute y + 2 for x in x + 5y = 92<em></em>

<em></em>y + 2 + 5y = 92<em></em>

<em></em>

Collect Like Terms

<em></em>y + 5y = 92 - 2<em></em>

<em></em>6y = 90<em></em>

Divide both sides by 6

\frac{6y}{6} = \frac{90}{6}

y = \frac{90}{6}

y = 15

Substitute 15 for y in x = y + 2

x = 15 + 2

x = 17

<em>Hence; the two odd numbers are 15 and 17</em>

4 0
2 years ago
Jose earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more pints. Write and evaluate an expre
Aneli [31]
50-40+87-30=67

hope i helped
4 0
3 years ago
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