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Yuliya22 [10]
3 years ago
14

Evaluate: (sec²37° -cot²53°)tan21°tan69°-sin51°cos49°-cos51°sin49°

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0
= 1 * 1 - (sin (51 + 49)

= 1 - 0.9848 
= 0.0152  answer
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Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
Lady bird [3.3K]

Answer:

The volume of the figure is 905 cubic units.

Step-by-step explanation:

Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.

volume of a sphere = \frac{4}{3}\pir^{3}

where r is the radius of the sphere.

Given that AB = 6, then the radius of the sphere = 6

volume of sphere = \frac{4}{3} x \frac{22}{7} x (6)^{3}

                              = \frac{88}{21} x 216

                              = 905.14

volume of sphere = 905 cubic units

The volume of the figure is 905 cubic units.

3 0
2 years ago
Can you guys figure out the linear function for this table, please?
Bess [88]

Answer:

y = 6x + 10

Step-by-step explanation:

This is because the slope is 6 and the y intercept is 10, therefore the answer is y = 6x + 10

5 0
2 years ago
The ratio of boys to girls in a school is 5:4. if there are 180 students, how many girls are there?
vladimir2022 [97]
Salutations!

<span>The ratio of boys to girls in a school is 5:4. if there are 180 students, how many girls are there?

Let the number of girls and boys be 'x'.

</span>5x + 4x = 180
<span>
Add 5 and 4

</span>9x = 180
<span>
</span>x = 20
<span>
Now, multiply the ratios by 20.

Boys = 20 </span>× 5 = 100

Girls = 20 × 4 = 80.

There were 80 girls.

Hope I helped (:

Have a great day!
4 0
3 years ago
12% of what number is 1044?
ludmilkaskok [199]

8,700*

12/100=1044/y         Equation

1044 x 100= 104,400       Cross multiply

104,400÷12=8700            Divide quotient by pecentage out of 100 (12)

7 0
3 years ago
There are 25 students in Ms. Nguyen's second-grade class. In the class election, 4 students voted for Benjamin, 12 voted for Sah
snow_lady [41]

percentage 9/25  * 4/4 = 36/100

36%

Answer: 36 percent

5 0
3 years ago
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