Please help !!!!find a0 when a15=82 and d=3

Are the following triangles similar? Justify your answer.

Ber [7]

Answer:

Yes they are similar.

There are three similarity criteria for triangles.

The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.

The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.

The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.

About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.

Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.

And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!

7 0

3 years ago

Find f. (antiderivative) . f '(t) = 4 cos (t) + sec^2(t), −π/2 < t < π/2, f(π/3) = 3

ArbitrLikvidat [17]

The antiderivative of the function f '(t) = 4 cos (t) + sec^2(t) is determined by applying integral calculus. The antiderivative of 4 cos (t) is -4 sin(t) while the antiderivative of <span>sec^2(t) is tan (t). The total term is -4 sin(t) + tan (t). We try to replace pi/3 and the answer is 3.</span>

6 0

3 years ago

Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-

snow_tiger [21]

Answer:

A) experimental

B) The important factors are : Type of instruction, scores and High schools,

The factor levels are :

Level -1 which comprises of 3 highschool,

Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students

Factor level combinations:

Level 1 : computer and standard based combination

C) Within the subject : 24 students

Between subject : High school

D) score of the test

E) student

Step-by-step explanation:

A) The study is experimental because of the random assignment of two different types of instruction to the students which will control/affect the technique of teaching without just observing the performance of the students from the side

B) The important factors are : Type of instruction, scores and High schools,

The factor levels are :

Level -1 which comprises of 3 highschool,

Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students

Factor level combinations:

Level 1 : computer and standard based combination

C) Within the subject : 24 students

Between subject : High school

D) The dependent measure is the score of the test

E) The basic experiment unit of the study is : student

8 0

2 years ago

Do anybody know what this is need to do this by today D=29m

Y_Kistochka [10]

Distance= 29 meters

8 0

2 years ago

Could someone please help with this?

saveliy_v [14]

9514 1404 393

Answer:

5. 88.0°

6. 13.0°

7. 52.4°

8. 117.8°

Step-by-step explanation:

For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...

A = arccos((b² +c² -a²)/(2bc))

When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.

Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.

__

<em>Additional comment</em>

The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:

=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))

As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.

The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.

5 0

2 years ago