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slava [35]
4 years ago
12

Need help with this one

Mathematics
1 answer:
steposvetlana [31]4 years ago
4 0

Answer:

∠TRS = 40°

Step-by-step explanation:

∠UTS is an exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠UTS = ∠TRS + ∠RST

9x - 15 = 3x + 16 + x + 9

9x - 15 = 4x + 25 ( subtract 4x from both sides )

5x - 15 = 25 ( add 15 to both sides )

5x = 40 ( divide both sides by 5 )

x = 8

∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°

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Calculate the total surface area of 20cm long 10 cm wide and 5 cm high box
stiv31 [10]

Answer:

Given

Edge of a cube = 10cm

Length, l = 12.5 cm

Breadth, b = 10cm

Height, h = 8 cm

Find out

We have to find

i) Which box has the greater lateral surface area and by how much?

ii) Which box has the smaller total surface area and by how much?

Solution

(i)

Lateral surface area of a cube = 4 * (edge)2

= 4 * 102 cm2

= 400 cm2

Lateral surface area of a cuboid = 2 (lh + bh)

= 2 (12.5 * 8 + 10 * 8) cm2

= 2 (100 + 80) cm2

= 360 cm2

So, the lateral surface area of the cubical box is greater than cuboidal box by (400 cm2 – 360 cm2) which is 40 cm2.

(ii)

Total surface area of a cube = 6 * (edge)2

= 6 * 102 cm2

= 600 cm2

Total surface area of cuboid = 2 (lb + bh + lh)

= 2 (12.5 * 10 + 10 * 8 + 12.5 * 8) cm2

= 2 (125 + 80 + 100) cm2

= 610 cm2

Therefore, the total surface area of the cuboidal box is greater than the cubical box by (610 cm2 – 600 cm2) which is 10 cm2.

8 0
3 years ago
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Which number is rational
Irina-Kira [14]

Answer:

36/16

Step-by-step explanation:

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Line g is shown on the graph.
alisha [4.7K]

The linear equation that defines the line G can be written as:

y = -(1/3)*x + 5

<h3>How to get the equation of the line G?</h3>

A general linear equation written in the slope-intercept form is:

y = a*x + b

Where a and b are real numbers, a is the slope and b is the y-intercept.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we know that the line passes through (-3, 6) and (0, 5), then the slope is:

a = (5 - 6)/(0 - (-3)) = -1/3

The linear equation is something like:

y = (-1/3)*x + b

We know that it passes through (0, 5), then:

5 = (-1/3)*0 + b

5 = b

We conclude that the linear equation can be written as:

y = -(1/3)*x + 5

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
1. The graph of quadratic function h is shown below. What are the zero(s) of h?
aksik [14]

Answer:

I dont see where you said its shown below..repost please =)

6 0
2 years ago
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