Answer:
Cos A=5/13
we have
Cos² A=
25/169=1-Sin²A
sin²A=1-25/169
sin²A=144/169
Sin A=
again
Tan B=4/3
P/b=4/3
p=4
b=3
h=
Now
Sin B=p/h=4/5
in IV quadrant sin angle is negative so
Sin B=-4/5
CosB=b/h=3/5
Now
<u>S</u><u>i</u><u>n</u><u>(</u><u>A</u><u>+</u><u>B</u><u>)</u><u>:</u><u>s</u><u>i</u><u>n</u><u>A</u><u>c</u><u>o</u><u>s</u><u>B</u><u>+</u><u>C</u><u>o</u><u>s</u><u>A</u><u>s</u><u>i</u><u>n</u><u>B</u>
<u>n</u><u>o</u><u>w</u><u> </u>
<u>substitute</u><u> </u><u>value</u>
<u>Sin(A+B):</u>12/13*3/5+5/13*(-4/5)=36/65-4/13
<u>=</u><u>1</u><u>6</u><u>/</u><u>6</u><u>5</u><u> </u><u>i</u><u>s</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u>
Answer:
1 1/3
Step-by-step explanation:
Half of 2 is 1, Half of 2/3 is 1/3. Thus, 1+1/3= 1 1/3
Answer:they are equal
Step-by-step explanation:
Part (1):
Volume of the rectangular prism can be calculated as follows:
volume = length * width * height
We are given the three dimensions, therefore, all we need to do is substitute in the above equation as follows:
volume = 10 * 6.5 * 8.3
volume = 539.5 cm³
Part (2):
Surface area of rectangular prism an be calculated as follows:
Surface area = 2(length*width) + 2(width*height) + 2(length*height)
Surface area = 2(10*6.5) + 2(6.5*8.3) + 2(10*8.3)
Surface area = 130 + 107.9 + 166
Surface area = 403.9 cm²
Hope this helps :)