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Artist 52 [7]
3 years ago
8

Please help! Need help asap!

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The two angles in the triangle in the question are 58 degrees and 54 degrees.

Three angles in a triangle add up to 180 degrees

58 + 54 + x = 180

112 + x = 180

subtract 112 on both sides

x = 180 - 112 = 68 degrees

Only option A has a triangle that has the same angles, thus triangles are similar.

please give thanks by clicking heart button! :)

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Which of the following inequalities are correct?
NARA [144]

Answer:

Only the First one, A is the correct answer. The other options such B and C are incorrect.

Step-by-step explanation:

3 0
3 years ago
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From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is
Nataliya [291]
<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

volume \: of \: the \: cylinder \:  =  \pi {r}^{2} h

=  > \pi \times  {5}^{2} \times  12 {cm}^{3}   = 300\pi {cm}^{3}

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

slant \: height \: of \: the \: cone \:  =  \sqrt{ {h}^{2}  + \:  {r}^{2} }

=  >  \sqrt{ {5}^{2}+{12}^{2} } cm \:  = 13cm

Volume of the cone = 1/3 *πr^2h

=  >  \frac{1}{3} \pi \times  {5}^{2}   \times 12 {cm}^{3}  = 100\pi {cm}^{3}

therefore, the volume of the remaining solid

= 300\pi {cm}^{3}  - 100\pi {cm}^{3}  \\  = 200 \times 3.14 {cm}^{3}  = 628 {cm}^{3}

Curved surface of the cylinder =

2\pi \: rh \:  = 2\pi \times 5 \times 12 {cm}^{2}  \\  = 120\pi {cm}^{2} .

curved \: surface \: of \: the \: cone \:  = \pi \: rl \\  = \pi \times 5 \times 13 {cm}^{2}  \\  = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\  of \: cylinder \:  =  \\ =  \pi \:  {r}^{2}  = \pi \times  {5}^{2}

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

= 120\pi {cm}^{2}  + 65\pi {cm }^{2}  + 25 \pi {cm}^{2}  \\  = 210 \times 3.14 {cm}^{2}  = 659.4 {cm}^{2}

<h3>Hope it helps you!!</h3>

6 0
2 years ago
Find z of the diagonal triangle. <br> Also, complete b.
STatiana [176]

Answer:

x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.

Total area of wood = 2942.54 cm^2.

Step-by-step explanation:

sin 15 =8/x

x = 8 / sin 15

x = 30.91 cm.

and

tan 15 = 8/y

y = 8 / tan 15

= 29.86 cm.

The value of z can be found using the Pythagoras theorem:

50^2 = x^2 + z^2

z^2 =  20^2 - x^2 = 50^2 - 30.91^2

z^2 = 1554.57

z = √1554.57

=  39.30 cm.

b.  The area consists of 3 rectangles :- 1. sides x and z  2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.

Total area = 30.91  * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86

=  2942.54 cm^2.

3 0
3 years ago
Please Help!!!
konstantin123 [22]

Answer: option 4 x < 175

x/5 < 35

multiply both sides by 5

x < 175

(i can’t do the correct symbol but you get the idea)

5 0
3 years ago
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An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s
Alex_Xolod [135]

Answer:

314.2 cm²

Step-by-step explanation:

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A = π(20 cm)²/4

A = π400 cm²/4

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