Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
The wide of the model should be approximately 5.194 inches
Step-by-step explanation:
You are building a scale model of a fishing boat
- The boat is 62 ft long
- The boat is 23 ft wide
- The model will be 14 in long
We need to find how wide should it be
∵ The boat is 62 feet long
∵ The model of the boat is 14 inches long
- That means 14 inches represents 62 feet
By using the ratio method
→ Actual (ft) : Model (in)
→ 62 : 14
→ 23 : x
By using cross multiplication
∵ 62 × x = 23 × 14
∴ 62 x = 322
- Divide both sides by 62 to find x
∴ x ≅ 5.194
∵ x represents the wide of the model
∴ The wide of the model is approximately 5.194 inches
The wide of the model should be approximately 5.194 inches
Learn more:
You can learn more about the scale drawing in brainly.com/question/570757
#LearnwithBrainly
Answer:
C. Mason goes on vacation with her family for 4 days. Each morning, she bikes 6 kilometers to the donut shop and then 3 more kilometers to the swimming hole. She rides home from the swimming hole in her mom's car. How many kilometers does Mason bike on vacation?
Step-by-step explanation:
For A., the equation would be 4 + 6 - 3
For B., the equation would be 3 x (6 + 4)
So our only option is C.
For C., the equation would be 4 x (6 + 3)
