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worty [1.4K]
2 years ago
13

Tom and his family went out to dinner. Their

Mathematics
1 answer:
igomit [66]2 years ago
3 0

Step-by-step explanation:

20% / 100

0.20 * 44.78

8.9 is 20% of 44.78

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In rhombus MNPQ, diagonals MP and NQ intersect at point K. If m_MQP = 56', then which of the
Murrr4er [49]

the answer is 90 degrees

3 0
2 years ago
The diagram shows 3 identical circles inside a rectangle.
Ilya [14]

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

 (2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

5 0
2 years ago
Complete this equation 2 2/3 +4/5= 40/? + 12/? = ?/?
OlgaM077 [116]

Answer:(7/8 - 4/5)^2 = 9

1600

= 0.005625

Step-by-step explanation:

Subtract: 7

8

- 4

5

= 7 · 5

8 · 5

- 4 · 8

5 · 8

= 35

40

- 32

40

= 35 - 32

40

= 3

40

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(8, 5) = 40. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 8 × 5 = 40. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - seven eighths minus four fifths = three fortieths.

Exponentiation: the result of step No. 1 ^ 2 = (3

40

) ^ 2 = 32

402

= 9

1600

In words - three fortieths squared = nine one-thousand six-hundredths.

6 0
2 years ago
What value of x makes this equation true? 12x - 15 = 6x - 3
djverab [1.8K]

Answer:

2

Step-by-step explanation:

12 x - 15 = 6x - 3

12 x - 6x = 15 - 3

6x = 12

x = 12/6 = 2

3 0
2 years ago
. The ratio of three angles of a triangle is 1:2:3. Find the measurement of<br>the angles.​
nydimaria [60]

Answer:

Step-by-step explanation:

Sum of angles in a Δ= 180°

x + 2x +3x = 180

6x= 180

Divide both sides by 6

x=30

sooo x= 1×30= 30,   2x= 2×30= 60,   3x=3×30= 90

since 30+60+90= 180

∴the angles are 30°,60° and 90° respectively

5 0
3 years ago
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