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3 years ago

What is 1/8 of a full rotation

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

45°

Step-by-step explanation:

If we consider a full rotation to be 360°, we can simply divide 360 by 8 to find 1/8 of a full rotation.

360 ÷ 8 = 45

1/8 of a full rotation is 45°

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Calculate the shaded area of the figure.

stiv31 [10]

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8² $\pi$ /4=64 $\pi$ /4=16 $\pi$ cm²

Area of square+Area of shaded region =2(16 $\pi$ )=32 $\pi$ =100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

6 0

3 years ago

Read 2 more answers

Use the figure to determine the intersection of planes EAB and EFG

vredina [299]

Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

7 0

3 years ago

Don’t save the answer and I really need help

Ksju [112]

9514 1404 393

Answer:

zero solutions

Step-by-step explanation:

The first inequality has a boundary line with a slope of 3 and a y-intercept of 9. Shading is above the boundary line.

The second inequality has a parallel boundary line with a slope of 3 and a y-intercept somewhat lower, at -1. Shading is below this boundary line.

There is a gap between the shaded areas, so no points will be solutions to both inequalities.

3 0

3 years ago

What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:

Gekata [30.6K]

Answer:

B. 13

Explanation:

$\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )$

Logarithm rules:

$\sf (i) \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \ log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)$

Breakdown of the expression:

$\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)$

$\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)$

$\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)$

insert given values

$\rightarrow \sf 2(3)+3(2)-(-1)$

$\rightarrow \sf 13$

7 0

2 years ago

Can someone tell me if these answers are right or not? These problems are getting on my nerves!

Bond [772]

1a. 3^1 / 3^2 = 3^1-2 = 3^-1 = 1/3^1 = 1/3.
2b. 4^2 / 4^4 = 4^2-4 = 4^-2 = 1/4^2.
3c. 6^3/6^5 = 6^3-5 = 6^-2 = 1/6^2.
4d. 3^-5 • 3^2 = 3^-10 = 1/3^10.

I believe for the last question its asking only to rewrite exponent as a positive exponent similar to the first question.

6 0

3 years ago