Answer:
C
Step-by-step explanation:
In a right triangle, the side opposite the right angle is the largest side as the right angle represents the largest angle in the triangle. Therefore, as 17.5 is opposite the right angle, we can say that AB²+10²=17.5², and √(17.5²-10²)=AB = 14.4
Using sohcahtoa, we can establish that
sin(∠C) = opposite/hypotenuse = 14.4/17.5, and
arcsin(14.4/17.5) = ∠C = 55°
Because the angles in a right triangle add up to 180 degrees, we can say that ∠A+∠B+∠C = 180°, so ∠A + 90 + 55 = 180 and ∠A = 35°
Answer:
11 6/9
Step-by-step explanation:
Daniel works in a market
He has large bags of potatoes that weighs 26 1/4
Daniel is going to sell them in smaller bags 9/4 pounds each
Therefore the number of smaller bags of potatoes in which Daniel would have filled can be calculated as follows
= 26 1/4 ÷ 9/4
= 105/4 ÷ 9/4
= 105/4 × 4/9
= 105/9
= 11 6/9
Answer:
2.5% of IQ scores are no more than 65
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 95
Standard deviation = 15
Using the empirical rule, what percentage of IQ scores are no more than 65?
65 = 95 - 2*15
So 65 is two standard deviations below the mean.
By the Empirical Rule, 95% of the measures are within 2 standard deviation of the mean. Of those 5% which are not, 2.5% are more than 2 standard deviations above the mean and 2.5% are more than 2 standard deviations below the mean.
So 2.5% of IQ scores are no more than 65
Answer:
10 inches
Step-by-step explanation:
18*2=36
56-36=20
20/2= 10
The missing side length is 10 inches.
Hope this helps! Have a nice day :)
Need to find:
- Perimeter of new square formed?
Solution:
- Side of smaller square = 3cm.
- Side of Bigger square = 9cm
Using formula:
- Perimeter of square = 4 × side
<u>Perimeter of smaller </u><u>square:</u>
⟹ 4 × 3
⟹ 12 cm
<u>Perimeter of Bigger square:</u>
⟹ 4 × 9
⟹ 36cm
Perimeter of new square = Perimeter of Bigger square - Perimeter of smaller square
⟹ 36 - 12
⟹ 24 cm
∴ Perimeter of new square formed is 24 cm.
