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AfilCa [17]
3 years ago
12

Solve the word problem.  The height of a triangle with base b and area A is given by the formula h = 2A/B .  What is the height

of a triangle with area 26 cm2 and base 8 cm?  
A.1.625 cm  
B.3.25 cm  
C.3.5 cm  
D.6.5 cm
Mathematics
1 answer:
jeka943 years ago
4 0
h =  \frac{2A}{b} \ \ \ and\ \ \ A=26\ cm^2\ \ \ and\ \ \ b=8\ cm\\\\h= \frac{2\cdot26}{8} = \frac{2\cdot2\cdot13}{2\cdot2\cdot2} = \frac{13}{2} =6.5\ [cm]\\\\Ans.\ D
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A person starts walking from home and walks: 4 miles east 3 miles southeast 3 miles south 4 miles southwest 3 miles east find to
Fantom [35]
A geometry program can show you the total displacement is about 10.14 miles.

_____
You can use a vector calculator to find the solution, too. Using bearing angles, the sum is
   4∠90° + 3∠135° + 3∠180° + 4∠225° + 3∠90° ≈ 10.1390∠141.6354°

_____
If you want to do it by hand, you can recognize the sum will be
   7 miles east + 3 miles south + 3 miles southeast + 4 miles southwest

Distances that are not in the direction of one of the coordinate axes can be translated to rectangular coordinates by 
   displacement*(cos(angle), sin(angle))
Angles can be measured in the conventional way—from the positive x-axis. A direction of southeast will be +315° or -45°. A direction of southwest will be +225° or -135°.

Then the sum of the displacements in rectangular coordinates is ...
   = (7, -3) + 3*(cos(-45°), sin(-45°)) + 4*(cos(-135°), sin(-135°))
   = (7, -3) + ((√2)/2)*((3, -3) + (-4, -4))
   = (7, -3) + 0.707107*(-1, -7)
   = (6.2929, -7.9497)
Then the Pythagorean theorem is used to find the direct distance from home to this displaced location.
   d = √(6.2929² +(-7.9497)²) ≈ √102.7990
   d ≈ 10.1390 . . . . miles

4 0
3 years ago
HELP 5 STAR RATING ADN BRAINLY IF SOLVED!
alexandr402 [8]
It is $84.6. You multiply 1.6 by 13 which equals $20.8. Then you multiply 3.1 by 14 which equals $43.4. Then you multiply 1.2 by 17 which equals $20.4. Add them together and you get $84.6. 

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5 0
2 years ago
Read 2 more answers
Shaikha sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Khalid sold 9 packages of sugar cookies and
ale4655 [162]

Answer:

The system that can be used is:

10x + 2y = 56

9x + 3y = 60

Step-by-step explanation:

We have that:

x is the price of a package of sugar cookies, y is the price of a package of oatmeal cookies.

Shaikha sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56.

This means that:

10x + 2y = 56

Khalid sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60.

This means that 9x + 3y = 60

System that can be used:

The system that can be used is:

10x + 2y = 56

9x + 3y = 60

4 0
2 years ago
Find the Distributive Property <br> 8X46=8X(40+
finlep [7]

Hey There!

8x^46=8x(40+

We move all terms to the left:

8x^46-(8x(40+)=0


3 0
3 years ago
The sum of two numbers is 58. The smaller number is 16 less than the larger number. What are the numbers?
MissTica

Answer:

hope it may help you

Step-by-step explanation:

n and n+14 are the numbers or you can use n and n-14; either way

n+n+14=58

2n+14=58

2n=58-14

2n=44

n=22 and n+14=22+14=36

22 and 36 are the numbers

or,...

58/2=29

29 and 29

28 and 30

27 and 31

26 and 32

25 and 33

24 and 34

23 and 35

22 and 36 answer

6 0
2 years ago
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