5:4 = 10:8 = length:width
10+8=18
162÷18= 9
9×10= 90
the length of the rectangle is D. 90 ft
Take Sin of 5 and subtract Cos 2
Sin 5 Cos -2
5-2=3
5x+3=3
√x=3
2x+5y+(1)z=3
Answer:the answer is 1600
Step-by-step explanation:
the exact value of sin A to the nearest ten- thousandth is 0. 6625
<h3>Using the pythagorean theorem</h3>
a² + b² = c²
The opposite side is unknown, so use the pythagorean theorem to find it
c = hypotenuse = 4
a= opposite site = ?
b= adjacent side = 3
Substitute into the formula
4² = a² + 3²
16 = a² + 9
a² = 16 -9 = 7
Find the square root
a =√7 = 2. 65
To find Sin A, use
Sin A = opposite side ÷ hypotenuse
Sin A = 2. 65 ÷ 4 = 0. 6625
Thus, the value of sin A is 0. 6625
Learn more about pythagorean theorem here:
brainly.com/question/654982
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The total surface area of the rectangular prism is 172 cm².
Step-by-step explanation:
Step 1; To calculate the surface area of the entire prism we need to sum the areas of all the different colored sections of the prism. There are a total of 6 different sections in the prism. There are
2 green sections,
2 purple sections, and
2 red sections.
Step 2; Each square is 1 cm² so the area of each section is the length multiplied with the breadth. The sections with the same colors have the same areas.
Green sections area = length × width = 7 × 8 = 56 cm²,
Purple sections area = length × width = 2 × 8 = 16 cm²,
Red sections area = length × width = 7 × 2 = 14 cm².
Total surface area = Area of the first green section + Area of the first purple section + Area of the second green section + Area of the second purple section + Area of the first red section + Area of the second red section.
Total surface area = 56 + 16 +56 + 16 + 14 + 14 = 172 cm².