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Komok [63]
2 years ago
14

Ted, the postman, has 110 letters to deliver. If Ted can deliver 10 letters in 5 minutes,

Mathematics
1 answer:
valina [46]2 years ago
8 0

Answer:

55

Step-by-step explanation:

There are 11 tens in 110, so 11 times 5 is 55.

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The area of the rhombus is 540 cm2; the length of one of its diagonals is 4.5 dm. What is the distance between the point of inte
malfutka [58]

1. The area of the rhombus can be found by the formula

A=\dfrac{d_1\cdot d_2}{2}, where d_1,\ d_2 are rhombus's diagonals.

Note that d_1=4.5\ dm=45\ cm, then

540=\dfrac{45\cdot d_2}{2},\\ \\540\cdot 2=45d_2,\\ \\d_2=24\ cm.

2. The diagonals of rhombus are perpendicular and are bisectors of each other. Then the triangle formed with halfs of diagonals is right triangles with legs

\dfrac{d_1}{2}=22.5\ cm,\ \dfrac{d_2}{2}=12\ cm.

The hypotenuse of this triangle is the rhombus's side. By the Pythagorean theorem

\text{rhombus's side}^2=(22.5)^2+12^2=506.25+144=650.25,\\ \\\text{rhombus's side}=25.5\ cm.

3. The distance between the point of intersection of the diagonals and the side of the rhombus is the height of right triangle considered above.

Use twice the Pythagorean theorem to find this height:

\left\{\begin{array}{l}x^2+h^2=12^2\\(25.5-x)^2+h^2=22.5^2,\end{array}\right.

where x is projection of leg 12 cm and h is height.

Subtract the first equation from the second:

(25.5-x)^2+h^2-x^2-h^2=22.5^2-12^2,\\ \\650.25-51x=506.25-144,\\ \\51x=650.25-362.25=288,\\ \\x=\dfrac{96}{17}\ cm.

Then

h^2=144-\left(\dfrac{96}{17}\right)^2=144-\dfrac{9216}{289}=\dfrac{32400}{289},\\ \\h=\dfrac{180}{17}\ cm.

Answer: h=\dfrac{180}{17}\ cm.

7 0
3 years ago
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Relationship between quanties is not proportional
blagie [28]
Yes, relationships between quantities are not always proportional. 
4 0
3 years ago
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Estimate the product of 2.28 × 5.59 using compatible numbers.
Ierofanga [76]

The quotient of 2.28 × 5.59 using compatible numbers is approximately 12.75

<h3>What are products?</h3>

Quotients are result derived from the multiplication of two rational or integers. Given the expression

2.28 × 5.59

Convert to fraction

2.28 × 5.59 = 228/100  ÷  559/100
2.28 × 5.59= 127452/10000

2.28 × 5.59=  12.75

Hence the quotient of  2.28 × 5.59  using compatible numbers is approximately 12.75

Learn more on product here: brainly.com/question/673545

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3 0
2 years ago
Please help i’m crying and throwing up
dsp73

Answer:

C. 90

Step-by-step explanation:

mark it brainliest if it helps you ❤️

3 0
2 years ago
Plzz im dumb i need your help
likoan [24]

Answer:

a

Step-by-step explanation:

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