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Westkost [7]
3 years ago
9

The sides of a rectangle are 8cm and 6cm. What is the length of the diagonal. 12cm 10cm 9cm 7cm

Mathematics
2 answers:
tatiyna3 years ago
5 0

Answer:

10 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = \sqrt{100} = 10 cm

Neko [114]3 years ago
5 0

Answer:

\huge\boxed{c = 10\ cm}

Step-by-step explanation:

<u><em>Using Pythagorean Theorem</em></u>

c^2 = a^2 + b^2

Where c is the length of diagonal, a and b are the length of the rest 2 sides

=> c^2 = 8^2+6^2

=> c^2 = 64 + 26

=> c^2 = 100

Taking sqrt on both sides

=> c = 10 cm

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2 years ago
Which of the following are solution to the inequality below -4w - 2 &lt; -38
FromTheMoon [43]

Answer:

w > 9

Step-by-step explanation:

Solve the inequality by using inverse operations.

-4w - 2 < -38

-4w < -36

w > 9

Like solving equations, inequalities should be solved using inverse operations. However, unlike equations, when you divide or multiply by a negative the sign changes.

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According to the Guinness book of world records the heaviest baby ever born was 29 pounds , 4 ounces what was the baby’s mass in
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3 0
2 years ago
Read 2 more answers
Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
valentinak56 [21]

Answer:

A .cos(x)<1

Step-by-step explanation:

According to the first inequality

cos(x)<1

x < arccos 1

x<0

This therefore does not have a solution within the range 0 ≤ x ≤ 2pi

x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

.cos(x/2)<1

x/2< arccos1

x/2<0

x<0

This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

1/sin(x) < 1

1< sin(x)

sinx>1

x>arcsin1

x>90°

x>π/2

This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

For the inequality csc(x/2)<1

1/sin(x/2) < 1

1< sin(x/2)

sin(x/2)> 1

x/2 > arcsin1

X/2 > 90°

x>180°

x>π

This value of x also has a solution within the range.

Therefore option A is the only inequality that does not have a solution with the range.

6 0
3 years ago
The base of a lamp is solid glass in the shape of a square prism. Each side of the square measures 5 in. If 300 in. of
Elenna [48]

Answer:The answer is 12

Step-by-step explanation:

I cheated

4 0
3 years ago
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