Answer:
168 ft²
Step-by-step explanation:
The area of the two triangular bases is ...
total base area = 2×(triangle area) = 2×(1/2)bh = (6 ft)(4 ft) = 24 ft²
The lateral area of the prism is the product of the triangle perimeter and the height of the prism.
lateral area = (6 ft + 5 ft + 5 ft)(9 ft) = 144 ft²
The surface area is the sum of the base area and the lateral area:
surface area = base area + lateral area
surface area = 24 ft² +144 ft² = 168 ft²
The surface area of the prism is 168 square feet.
21. if Sam's erasers are represented by x, then sari, who has three times more, would be represented by 3x. since you are adding two together to get 28, the equation would be 28=3x+x. Simplify to 28=4x, divide by 4 to isolate x, where x=7. multiply this by 3 to get sari's amount.
Applying the cosine ratio, the measure of angle C in the given image, to the nearest whole degree, is: 77°.
<h3>What is the Cosine Ratio?</h3>
The cosine ratio is given as, cos ∅ = adjacent side/hypotenuse side of a right triangle.
Using the cosine ratio, we have:
cos C = 2/9
C = cos^(-1)(2/9)
C ≈ 77 degrees.
Learn more about the cosine ratio on:
brainly.com/question/15793827
Answer:
28 million college students.
Step-by-step explanation:
We can represent all college students as x. This means that all part-time college students are 
. Because all part-time college students are also equal to 8.6 million, we have 
. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:
The left side of the equation evaluates as 
. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.
0.5 is a rational number.
