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2 years ago

Given: ABC is a right triangle with right angle C. AB = 18 centimeters and m<A = 22°.

Mathematics

1 answer:

rewona [7]2 years ago

3 0

Answer:

6.74

Step-by-step explanation:

may be it is .......

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It takes Sue, Jeff and Todd 4 hours to paint a room together. If it takes Sue 10 hours by herself and Jeff 12 hours by himself,

diamong [38]

The number of time it would take Todd to paint the room alone is 15 hours.

Let the Todd's time be t.

Given the following data:

Combine time = 4 hours

Sue's time = 10 hours

Jeff's time = 12 hours

To calculate the number of time it would take Todd to paint the room alone:

How to solve a word problem:

In order to solve this exercise, we would first of all calculate their individual rate and combined rate respectively. Finally, we would add their individual rates together and equate it to the combined rate.

For Sue:

$Rate = \frac{1}{10} \;work/hr$

For Jeff:

$Rate = \frac{1}{12} \;work/hr$

For Todd:

$Rate = \frac{1}{t} \;work/hr$

Combined rate:

$Rate = \frac{1}{4} \;work/hr$

Adding the individual rates, we have:

$\frac{1}{10} +\frac{1}{12} +\frac{1}{t} =\frac{1}{4} \\
\\
$

Multiplying all through by 120t, we have:

$12t+10t+120=30t\\
\\
22t+120=30t\\
\\
120=30t-22t\\
\\
120=8t\\
\\
t=\frac{120}{8}$

t = 15 hours.

Read more on word problems here: brainly.com/question/13170908

5 0

2 years ago

Round 27,141 to the nearest ten

Wittaler [7]

27, 140 is the correct answer

4 0

3 years ago

Whats the area help me youll get brainliest answer

victus00 [196]

Answer:

Step-by-step explanation:

area of rectangle = length × breadth

area of rectangle = 4 × 2

area of rectangle = 8m²

area of Triangle = 1/2 × base × height

area of Triangle = 1/2 × 4 × 3

area of Triangle = 6m²

Total area = 8 + 6

Total area = 14m²

3 0

3 years ago

Write an equation of the line that passes through the point (5,-4) and has a slope of 2.

Romashka-Z-Leto [24]

Answer:

Point slope formula: (y + 4) = 2(x - 5)

Slope intercept formula: y = 2x - 14

Step-by-step explanation:

Point slope formula: (y + 4) = 2(x - 5)

Slope intercept formula: y = 2x + b, -4 = 10 + b, b = -14

y = 2x - 14

6 0

3 years ago

(a) The lake behind a dam has an area of 55 hectares. When the gates in the dam are open, water flows out at a rate of 75 000 li

GaryK [48]

Answer:

a) The diagram shows a hemisphere with radius 6 cm.

Calculate the volume.

Give the units of your answer.

(The volume, V, of s sphere with radius r is V = 4/3πr³)

b). The diagram shows a prism ABCDEF.

The cross-section is a right angled triangle BCD. BD = 10 cm, BC = 5.2 cm and ED = 18 cm.

(i) a) Work out the volume of the Prism.

b) Calculate the angle BEC

c) The point G lies on the line ED and GD = 7 cm. Work out angle BGE

(Cambridge Assessment International Education. 0580/42, October/November 2019, Q 4)

(a)

(b)(i)a

(b)(i)b

(b)(i)c

2. The diagram shows a sector of a circle of radius 3.8 cm.

The arc length is 7.7 cm.

(i) Calculate the value of y.

(ii) Calculate the area of the sector.

(Cambridge Assessment International Education. 0580/42, May/June 2019, Q 8b)

(i)

(ii)

7 0

3 years ago