What is the distance of Point A (4-i) from the origin of the complex plane?

The prism shown has a volume of 35cm³. Work out the height of the triangular cross section. The length going back is 7cm and the

Gre4nikov [31]

Answer:

2.5 cm

Step-by-step explanation:

The volume of a triangular prism is cross section × length.

The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.

4 × h × 1/2 × 7 = 35

14h = 35

h = 35/14

h = 5/2

The height of the triangular cross section is 2.5 cm.

3 0

3 years ago

The perimeter of a rectangle is 53 inches. The combined length of the two shorter sides is 18 inches. What is the length of each

Artist 52 [7]

Answer:

17.5 in

Step-by-step explanation:

Step one:

given

The perimeter of a rectangle is 53 inches

let the two shorter sides be the width w

so w+w= 18in

the two longer sides is L

L+L=2l

Step two:

but the expression for the perimeter of a rectangle is

P=2W+2L

53= 18+2L

53-18=2L

35=2L

divide both sides by 1

L=35/2

L=17.5

7 0

3 years ago

Wath is the rate and ratio for 3.5hrs and 27 miles and 4 hrs

erastovalidia [21]

Answer:

Hello

Step-by-step explanation:

5 0

3 years ago

PLEASEE HELPP!!!!

Alex73 [517]

y = - $\frac{1}{4}$ x + $\frac{15}{2}$

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 4x + 5 is in this form with slope m - 4

Given the slope of a line m, then the slope ( $m_{2}$ ) of a line perpendicular to it is

$m_{2}$ = - (1 / m ) = - $\frac{1}{4}$

y = - $\frac{1}{4}$ x + c is the partial equation of the perpendicular line

to find c, substitute ( 2, 7 ) into the partial equation

7 = - $\frac{1}{2}$ + c ⇒ c = $\frac{15}{2}$

y = - $\frac{1}{4}$ x + $\frac{15}{2}$ ← equation of perp. line

5 0

3 years ago

Jodie wanted to match Mandy's obstacle course record of 73.4 seconds. She had already spent seconds on wall climbing and 11.78 s

Artyom0805 [142]

The time left to match the record will be 61.62 seconds. The correct option is A.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Jodie wanted to match Mandy's obstacle course record of 73.4 seconds. She had already spent seconds on wall climbing and 11.78 seconds on the ropes.

The time left to match the record will be calculated as below:-

Time left = 73.4 - 11.78 = 61.62

Therefore, the time left to match the record will be 61.62 seconds. The correct option is A.

To know more about expression follow

brainly.com/question/723406

#SPJ1

5 0

1 year ago

Read 2 more answers