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2 years ago

Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Mathematics

1 answer:

lora16 [44]2 years ago

3 0

X=6 (work shown in picture)

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Answer this question ASAP

sergey [27]

Answer:

35.0 cm (to 3 significant figures)

Step-by-step explanation:

Circumference of a circle = 2d (where d is the diameter).

Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.

Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.

To find the diagonal, we use Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right angled triangle).

From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm. So:

9² + 15² = c²

81 + 225 = c²

306 = c²

c = √306 = 3√34

Therefore, the diameter of the circle = 3√34 cm

Circumference = 2d

= 2 x 3√34

= 6√34

= 35.0 cm (to 3 significant figures)

4 0

2 years ago

Fourteen seniors were asked how many minutes they spent on doing their homework the previous night. The data is displayed below.

Nadusha1986 [10]

Answer:

Step-by-step explanation:

We need to find the median of:-

73 75 87 65 69 62 81 64 68 101 74 71 89 87

First, we need to arrange the numbers in ascending order as below:-

62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101

Since there are a total of 14 numbers, let's split it up into two halves (each of seven numbers)

62, 64, 65, 68, 69, 71, 73 ||| 74, 75, 81, 87, 87, 89, 101

The median would be the mean of the two middle numbers i.e. the mean of 73 and 74

Median = $\frac{73+74}{2}$

= $\frac{147}{2}$

= 73.5

So, about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework

7 0

3 years ago

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The square root of 1000 is between

asambeis [7]

Answer:

the square root of 1000 is 31.6227766017

Step-by-step explanation:

BRANIEST

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2 years ago

What is the area of the composite figure? _______ cm2 pls and ty

LuckyWell [14K]

The length of line in green = 5 cm
the length of line in yellow = 3 cm
the length of line in red = 6 cm
the length of line in white = 16 cm
the total area = 100 + 12 + 12 + 20 + 24 + 96 = 264 cm2

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3 years ago

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Plz help i will mark u brainlyest.

spin [16.1K]

A = 5, -10
B = 1, 8
C = 5, -7

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3 years ago

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