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tangare [24]
3 years ago
11

Suppose that angle P = 3x + 14 and angle Q = 3x - 27. If these angles are supplementary, angle Q would need to be ___ degrees.

Mathematics
1 answer:
adelina 88 [10]3 years ago
5 0

Answer:

Q = 69.5 degrees

Step-by-step explanation:

3x + 14 + 3x - 27 = 180

6x - 13 = 180

6x = 193

x = 32.1667

Q = 3(32.1667) - 27

Q = 69.5

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Here are two closed containers and four balls just fit into each container. Each ball has a diameter of 60mm. Which container ha
Studentka2010 [4]

Answer:

Container B has smaller surface area.

Step-by-step explanation:

Given:

Container A

Radius = 60/2 = 30 mm

Height = 4 x 60 = 240 mm

Container B

Length = 120

Width = 120

Height = 60

Computation:

Surface area of container A (Cylinder) = 2πr[h+r]

Surface area of container A (Cylinder) = 2[22/7][60][120+60]

Surface area of container A (Cylinder) = 67,885.70 mm² (Approx)

Surface area of container B (Cuboid) = 2[lb+bh+hl]

Surface area of container B (Cuboid) = 2[(14,400)+(7,200)+(7,200)]

Surface area of container B (Cuboid) = 57,600 mm²

Container B has smaller surface area.

8 0
3 years ago
The prism shown has a volume of 35cm³. Work out the height of the triangular cross section. The length going back is 7cm and the
Gre4nikov [31]

Answer:

2.5 cm

Step-by-step explanation:

The volume of a triangular prism is cross section × length.

The cross section area is the triangle area. The triangle length is 4 cm, the height is not given. The length of the triangular prism is 7cm.

4 × h × 1/2 × 7 = 35

14h = 35

h = 35/14

h = 5/2

The height of the triangular cross section is 2.5 cm.

3 0
4 years ago
For what values of x is rational expression below undefined x-7/x^2-7x-8
Novay_Z [31]
The values are x = 8 and x = -1.

To find the undefined values, we need to know when the denominator is zero.
To do this, we need to factor it and find the value that would make either factor equal to zero.

If factors to: (x - 8)(x + 1)

Therefore, the undefined values would be at 8 and -1.
8 0
4 years ago
What is 0.35 as a simplified fraction and why??
avanturin [10]

Answer:

7/20

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
1. The Sharks Aquatic Club recently held a fundraiser to raise money for a local charity. The swimmers received money for each l
liq [111]

Answer:

Rita = 300

John = 900

Rodell = 925

Step-by-step explanation:

rita = x (let

john = 3x ( john swims three times more than rita

rodell = 25 + 3x ( rodell swims 25 more than john

x + 3x + 25 + 3x = 2125

or, 7x + 25 = 2125

or, 7x = 2125 - 25

or, x = 2100/7

x = 300

hence,

x = 300

3x = 3 × 300

= 900

25 + 3x = 25 + 900

= 925

8 0
3 years ago
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