<h2>
Answer:</h2>
BC ≅ 11cm
<h2>
Step-by-step explanation:</h2>
To accomplish this task, follow these steps:
i. Using your ruler, draw a line AB with length 8cm as shown in Figure 1. This will give AB = 8cm
ii. Remove the ruler and place your protractor at the point A and parallel to line AB as shown in Figure 2. Make a dot at the mark 90° of the protractor (See Figure 2). For accuracy, ensure that the 180° mark of the protractor is on the line AB.
iii. From point A through the dot in (ii) above, use a ruler to draw a line AC of length 8cm as shown in Figure 3. This will give AC = 8cm and will also give angle CAB = 90°
iv. Now join points C and B by drawing a line from point A to C using a ruler as shown in Figure 4.
v. Lastly, measure the length of BC by placing your ruler on line BC as shown in Figure 5. This should give a value of about 11cm.
Therefore the length of BC = 11cm approximately.
<em>NB: All figures are attached to this response. </em>
Answer:
70 feet
Step-by-step explanation:
This problem can be answered by using proportions based on similar triangles.
Notice that a person and its shadow on the ground form a right angle (therefore they can be considered the two "legs" of a right angle triangle)
The same runs for the tree and its shadow.
Since the inclination of the rays of the sun are the same at the same time for both objects (the boy and the tree), their hypothenuses form the same angles with the ground and therefore belong to similar triangles.
We can create the following proportion to solve for the shadow of the tree (ST) using the information provided: the height of the boy (HB), the shadow of the boy (SB), and the height of the tree (HT)
Answer:
Lyrics A
Step-by-step explanation:
Problem statement does not mention anything about conditions of the test, so we dont know if the experiment was correctly done, but we know the kind of problem we are facing here is concerning a normal distribution
Then assuming the test was done by knowledgeable people, which means:
- they got correct information from the population
-sample was big enough
- level of confidence was acceptable for the test ( approximately 95 %) - Alternative hypothesis took into account two tails test
-Test was evaluated according to sample size
-And finally calculations were right
Under the above mentioned conditions, they tested the hypotesis H₀ = μ₀ = 16 ounces and they got results that implies the acceptance of such hypothesis (that means the null hypothesis should not be rejected), and the answer is lyrics A
1. 3x=y
3+y=z
2. 1/2y=x
7x=z
