Answer:
Area of the triangle will be 162.3 cm²
Step-by-step explanation:
From the figure attached,
In the triangle ABC angle ACB = 23°, side BC = 27.6 cm and hypotenuse AC = 30 cm
Now we have to calculate the area of the given right angle triangle.
Since area of a right angle triangle is represented by
Area =
Where b = adjacent side
h = opposite side
To calculate the opposite side of the triangle we will apply Pythagoras theorem in the ΔABC.
AC² = AB² + BC²
AB² = AC² - BC²
AB² = (30)² - (27.6)²
= 900 - 761.76
= 138.24
AB = √138.24
= 11.76
Area of the triangle =
=
= 162.28 cm² ≈ 162.3 cm²
Answer:
The diameter is 13.88 feet.
Step-by-step explanation:
1. The formula for calculate the volume of a sphere is:
Where is the radius.
2. The diameter is:
3. So, you must solve for the radius in the first equation:
4. Then, the diameter is:
The programs cost the same for 7 classes.
Given, no. of classes is represented by c, no. of dogs is represented by d, no. of hours is represented by h, the no. of programs is represented by p and the total cost is represented by t.
The first program charges $35 membership fee and $5 for each class.
The second program charges only $10 for each class.
Now the total cost say , for first program can be written in equation form as,
, here c is the no. of classes.
Similarly, the total cost say , for second program can be written in equation form as,
.
We have to find out the no. of classes for which the two programs cost the same.
according to the question,
Hence for 7 of classes the programs cost the same.
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