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2 years ago

A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.

Mathematics

1 answer:

Zina [86]2 years ago

6 0

Answer:

$\boxed{1500cm^{2} }$

Step-by-step explanation:

Area = Length × Width

→ Identify the length and width

Length = 5 and Width = 3

→ Substitute in the values

Area = 5 dm × 3 dm

→ Convert into cm

Area = 50 cm × 30 cm

→ Simplify

1500 cm²

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How to set the answer up

Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

2s + g = 171
5s + 8g = 576

Cramer's rule tells you the solution to the system

ax +by = c
dx +ey = f

Is given by

x = (bf-ey)/(bd-ea)
y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0

3 years ago

Help need answer please

antiseptic1488 [7]

Answer:

59.5

Step-by-step explanation:

1st tree to shadow ratio: 17:10

Plug the numbers in to get x:35

17:10=x:35

17/10=x/35

Multiply both sides by 35

595/10=x

59.5=x

5 0

2 years ago

Solve for v.<br> -8v+3(v-3) = 16

puteri [66]

Hi there! :)

Answer:

$\huge\boxed{v = -5}$

-8v + 3(v - 3) = 16

Distribute the 3:

-8v + 3(v) + 3(-3) = 16

-8v + 3v - 9 = 16

Combine like terms and simplify:

-5v - 9 = 16

-5v - 9 + 9 = 16 + 9

-5v = 25

Divide both sides by -5:

-5v/(-5) = 25/(-5)

v = -5.

7 0

2 years ago

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Use the change of base formula to evaluate the logarithms to the nearest thousandth.

Blizzard [7]

Answer:

1.861

Step-by-step explanation:

I just know

6 0

2 years ago

1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The

Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = $\frac{opposite}{adjacent}$ = $\frac{12850}{hor}$ ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = $\frac{12850}{tan20}$ ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37 and angle of depression x, then

tanx° = $\frac{opposite}{adjacent}$ = $\frac{37}{65}$ , thus

x = $tan^{-1}$ ( $\frac{37}{65}$ ) ≈ 30° ( to the nearest degree )

4 0

3 years ago

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