Answer:
Step-by-step explanation:The model will be of length 0.4 ft and the width being 0.28 feet
Step-by-step explanation:
Step 1.We know that the length of the building is 200 feet, and that the width of the building is 140 feet.
Step 2. the question tells us that "a 1/500 model is built of the building", meaning the problem wants to create a model using the ratio 1 feet for each 500 feet.
Step 3.So now to find the length and width of the model, we need to divide the given sides by 500.
Step 4. Side length of the Model = 200/500 = 2/5 = 0.4 feet
Step 5. Side width of the Model = 140/500 = 14/50 = 0.28 feet
There for giving us our final answer... "The model will be of length 0.4 feet and width 0.28 feet."
Hope I could help! :)
Answer:
x=8.5
Step-by-step explanation:
To solve this equation, we want to find out what x is. To do this, we need to get x by itself.
Perform the opposite of what is being done to the equation. Remember to perform everything to both sides.
4(x-5)=14
4 is being multiplied by x-5. The opposite of multiplication is division. Divide both sides by 4.
4(x-5)/4=14/4
x-5=14/4
x-5=3.5
5 is being subtracted from x. The opposite of subtraction is addition. Add 5 to both sides.
x-5+5=3.5+5
x=3.5+5
x=8.5
Let's check our solution. Plug 8.5 in for x in the original equation.
4(x-5)=14
4(8.5-5)=14
4(3.5)=14
14=14
Both sides of the equation are the same, so we know our solution, <u>x=8.5 </u>is correct.
Answer: Yes.
Step-by-step explanation:
One of the criteria of congruence for triangles is SSS, this means that when we know that two triangles have all the same side lengths, the triangles are congruent. This would mean that all the triangles with the same side lengths are rotations or translations of the same triangle.
Then, when we know the measures of the 3 sides of a triangle, we have only one possible triangle to make, which would mean that Buzz has enough information to make a truss with the correct size and shape.
3.03 days
Step-by-step explanation:
We first look up the Z-score for 90th percentile in the table;
= 1.282
Z score is given by the formula;
X – μ / σ
We are given μ as 5.2 while σ is 2.2. Therefore;
1.282 = X - 5.2 / 2.2
1.282 * 2.2 / 5.2 = X
3.03018 = X
= 3.03
