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Zarrin [17]
2 years ago
8

Work out the size of the angle X. Give your answer correct to 3 significant figures.

Mathematics
2 answers:
Alika [10]2 years ago
6 0

Answer:

Step-by-step explanation:

take x as reference angle

using tan rule

tan x=opposite/adjacent

tan x=9/5

tan x=1.8

x=tan 61 degree

x=61 degree

for remaining angle

remaining angle+90+61=180 degree(being sum of interior angle of a triangle)

remaining angle=180-151

remaining angle=29 degree

aleksley [76]2 years ago
3 0

Step-by-step explanation:

Recall the Ratio for tan

Tan(theta) = opposite / adjacent

Tan (x) = 9 / 5

solve for x (use Tan^-1(...) )

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More math help please im lazy ._.
FinnZ [79.3K]

there are no real square roots of 25,36

3 0
3 years ago
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
Is 10.846 an integer ​
yulyashka [42]

Hello!

An integer is defined as a number which is not a fraction or irrational. It should be able to be written out as just a number, without a decimal point or additional fraction. (It can have a negative sign) For example, a few integers would be 2, 5, -8, and 9109, while some non-integers would be 3.1, 3 3/2, and 5i.

In this case, 10.846 is not an integer, as it has a decimal.

Hope this helps!

3 0
3 years ago
What is the value of the product (3-2i)(3+2i)?
Helga [31]

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i) = 9  + 6i - 6i - 4i^2

9 - 4i^2

9 + 4 = 13

5 0
3 years ago
Read 2 more answers
Fine the value of 3x-2 when x=4
mamaluj [8]

Answer:

10

Step-by-step explanation:

3x - 2 = 3(4) - 2 = 12 - 2 = 10

8 0
2 years ago
Read 2 more answers
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