1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Helen [10]
3 years ago
6

Please help me asap!

Mathematics
1 answer:
dusya [7]3 years ago
7 0

7. Law of cosines

a² = b² + c² - 2bc cos A

where a is the side opposite to ∠A and b and c are adjacent sides to ∠A.

Here, a=BC= 3.8

b=CA =4.8

c = AB = 3.2

Substituting the values in the formula,

3.8² = 4.8² + 3.2² - 2(4.8)(3.2) cos A

30.72 cos A =23.04 + 10.24 -14.44=18.84

cos A = 18.84/30.72 = 0.6133

∴ cos A =0.6133

8. It is a right angled triangle.

Pythagoras theorem

hypotenuse² = Perpendicular² + base²

Here, hypotenuse = 6.7, base = 5.4

Perpendicular² = 6.7² -5.4²=44.89 - 29.16 =15.73

Perpendicular = √15.73 = 3.966 = 3.97

∴ The length of the missing side is 3.97.

9. Given:   Side of new cube = 5 * Side of original cube

Let the side of the original cube measure 1 unit.

So, volume of original cube = side³ = 1

The side of new cube = 5 * 1 =5 units

So, volume of new cube = side³ = 5³ =125

The volume of the bigger cube is 125 times larger than the original cube.

10. Given : Height of the cone = 7 in

Radius of the base of the cone = 2 in

Volume of cone = (1/3) πr²h

                           =(1/3)π(2²)(7)

                           =29.32 cubic inches

∴ Volume of the cone is 29.32 cubic inches.

11. The given equation is:

x² -18x +10 =0

(x² -18x + 9²) +10 -9² =0

(x-9)²-71 =0

(x-9)² =71

x-9 =√71

x = 9 + √71

∴ x = 9+√71

You might be interested in
Anastasia works at the local museum and has been tracking museum attendance. On Thursday, she counts 220 museum visitors under t
Lubov Fominskaja [6]

Answer:

The total number of visitors on Thursday was 400.

Step-by-step explanation:

So, we know that there were 220 visitors who were under the age of 12, and that the amount of visitors under the age of 12 was 55% of the total number of visitors. This means that 220 was 55% of the number of visitors. To find the total number of visitors, we divide the number of visitors under the age of 12 (220) by 0.55 (55%).

220/0.55 = 400

The total number of visitors on Thursday was 400.

I hope you find my answer helpful. :)

6 0
3 years ago
Which method is used in elimination to find the solutions of x + 3y = 9 and x - 3y = 8?
weqwewe [10]

Answer:

x=17/2  y=1/6

Step-by-step explanation:

-1(x+3y=9)

1(x-3y=8)

_________

-x-3y=-9

x-3y=8

________

-6y/6=-1/6   y=1/6

x+3(1/6)=9

x+ 1/2=9

   - 1/2  - 1/2

x=17/2

4 0
3 years ago
Which number is bigger? 419.10 or 419.099? please help me I do NOT want homework!
lesya [120]

Answer:

419.10 is greater than 419.099

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
5/6<7/8 true or false
Kobotan [32]

Answer:

true

Step-by-step explanation:

5/6=0.8333..

7/8=0.875

7/8 is larger than 5/6

6 0
3 years ago
Read 2 more answers
What is the square root of 9
Salsk061 [2.6K]
The square root of 9 is 3 hope you find this helpful x
6 0
3 years ago
Other questions:
  • Do the ratios 12/18 and 2/3 form a proportion ?
    11·1 answer
  • The product of two negative rational numbers is
    6·2 answers
  • A baker has 327 chocolate chips. He uses 184 chocolate chips in his cookie recipe. How many chocolate chips does he have left ov
    10·1 answer
  • 7) c/a=d-r, for a<br><br> thanks
    15·1 answer
  • Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.
    12·1 answer
  • X^3=27 2,3,7,4 which one is it ?
    12·1 answer
  • X^2-x-12, please show your work so I can know how to do it. Thank you:))
    15·1 answer
  • LOTS OF POINTS!! WILL GIVE BRAINLIEST!! HELP!!!!!!!!!! answer the question below.
    14·2 answers
  • Ms. Pitt went to dinner with her family. The bill came to $55 left a 20% tip. How much money did Ms. Pitt spend in all?
    15·1 answer
  • Determine the type of triangle that is drawn below. PLZZ ASAP
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!