MATHEMATICS HIGH SCHOOL

Lim
θ→0 (cos 9θ − 1)/(sin 8θ)

Answers

Answer 1
Answer: lim as θ → 0 of (cos 9θ - 1)/sin 8θ = lim as θ → 0 of (-9sin 9θ) / 8cos 8θ = 0/8 = 0
Answer 2
Answer: \lim_(t \to 0) (cos 9 t - 1)/(sin 8 t) = (1-1)/(0)= (0)/(0)
We can use the L`Hospitals rule:
\lim_(t \to 0) (cos 9 t - 1)/(sin 8 t)= \n =\lim_(t \to 0) (-9 * sin 9 t)/(8 * cos 8 t)= (0)/(8)= 0

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A number is multiplied by 10. Then 32 is added to the product. This sum is then divided by 4. The answer is 28. A number is multiplied by 10. Then 32 is added to the product. This sum is then divided by 4. The answer is 28. A number is multiplied by 10. Then 32 is added to the product. This sum is then divided by 4. The answer is 28.

Out of 100 students,15 passed in english, 12 passed in mathematics, 8 in science, 6 in english and mathematics, 7 in mathematics and science, 4 in english and science, 4 in all three. find how many passed1)in english and mathematics but not science
2)in mathmatics and sciecnce but not in english
3)in mathematics only
more than one subject only

Answers

Because there are 4 students who passed in all subjects, we can say that only 2 students passed in English and Mathematics only, only 3 students passed in Mathematics and Science only, and no one passed in English and Science only.

Given that we have deduced the number of students who passed in two subjects, we can now solve for the number of students who passed only one subject. 
                English = 15 - (4 + 2 + 0) = 9
                Mathematics = 12 - (4 + 3 + 2) = 3
                Science = 8 - (4 + 3 + 0) = 1

1. In English but not in Science,
                    9 + 2 = 11
2. In Mathematics and Science but not in English
                    3 + 3 + 1 = 7
3. In Mathematics only 
                             = 3
3. More than one subject only
                   3 + 4 + 2 + 9 = 18

It will really be helpful if you draw yourself a Venn Diagram for this item. 

Answer:

there are 4 students who passed in all subjects, we can say that 2 students passed in English and Mathematics,  3 students passed in Mathematics and Science only, and no one passed in English and Science only.

Step-by-step explanation:

Given that we have deduced the number of students who passed in only two subjects, we can now solve for the number of students who passed only one subject. 

               English = 15 - (4 + 2 + 0) = 9

               Mathematics = 12 - (4 + 3 + 2) = 3

               Science = 8 - (4 + 3 + 0) = 1

1. In English but not in Science,

                   9 + 2 = 11

2. In Mathematics and Science but not in English

                   3 + 3 + 1 = 7

3. In Mathematics only 

                            = 3

3. More than one subject only

                  3 + 4 + 2 + 9 = 18

A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivot to the point the force is applied. A force of 50 pounds applied to the lever 36 inches from the pivot point of the lever will move the rock. Which function models the relationship between f, the amount of force applied to the lever and d the distance of the applied force from the pivot point?

Answers

Answer:f=1800/d Inverse proportion function. Provided f is in pounds & d is in inches.

Step-by-step explanation: the relationship between f & d is inverse proportion.

A constant k has to be derived from the relationship.

If f is inversely proportional to d then f=k(1/d)

K= f X d

= 50 X 36

=> constant K=1800.

Find the product: (5x + 5y) (x + 4y)A. 4x2 +22ry - 12y2
B.5x2+ 20y2
c.5x2 + 25xy + 20y2
D. 35x2 - 54ry + 16y2​

Answers

Answer:

c

Step-by-step explanation:

2.3 + 6.82 ÷ 3.74 + 1.09

Answers

2.3  + 6.82 : 3.74 + 1.09 = 3.39 + 1.8 = 5.19 
BIDMAS
6.82/3.74 = 1.82352941176
2.3 + 1.09 = 3.39
1.82352941176 + 3.39 = 5.21352941176

Unless you didn't include brackets, which would result in a different answer

What is 19 × 10 I need help please

Answers

what is 19 × 10 I need help please

190

10. (7, 2) and (3.-2)
Find the slope

Answers

Answer:

1

Step-by-step explanation:

m=y2-y1/x2-x1

(-2)-2=(-4)

3-7=(-4)

-4/-4=1

hope this helps :3

if it did pls mark brainliest
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