Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
= 
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = 
≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = 
= 
= 
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
Step-by-step explanation:
5 divided by five-thirds can be written in the fractional form is as follows :
It can be also written as :
He has done calculations as follows :
3 x 5/3=3/1 x 5/3 = 15/3 or 5
Miko was wrong in the first step where he multiplied 3 by (5/3). It should be 5 multiplied by (3/5). He has done multiplication incorrectly.
The length of the painting is 1/4.
According to the statement
we have to find the length of the rectangular painting with the help of the given information.
So, For this purpose, we know that the
The given information is:
The area of a rectangular painting is 1/6 square yard. The width is 2/3 yard.
And we have to use the formula
Area = Length * Breadth
So, Substitute the values in it then solve
So,
Area = Length * Breadth
1/6= Length * 2/3
1/6 = 2L/3
1 = 12L/3
1 = 4L
L = 1/4.
The value of the length is 1/4.
So, The length of the painting is 1/4.
Learn more about area of a rectangle here
brainly.com/question/2607596
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A)
<h3>
The sample mean is 52</h3><h3>
The claimed population mean is 44</h3>
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The sample mean is the mean found in the survey (of the sample of people). The sample mean is found by adding up the values and dividing by the sample size n. The larger n gets, the closer the sample mean should get to the population mean. This is assuming the sample is random and representative of the population.
The population mean is a claim made by another study/survey/etc. Usually generalized statements such as "Americans spent an average of X dollars (in year Y)" would have X be considered the population mean.
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B)
<h3>Sample mean is 3.42</h3><h3>Claimed population mean is 3.56</h3>
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Same idea as part A, but we're using different numbers and a different problem context.
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Note: The year numbers and the sample sizes are not used to answer any of the four questions above.
Answer:
1.8 cm
6.3 cm²
Step-by-step explanation:
AC⊥BC
BD=BC=x
- (x+5)²+x²=7²
- x²+10x+25+x²=49
- 2x²+10x- 24=0
- x²+5x-12=0
- x=1.8
BC= 1.8 cm
Area of ABC= 1/2*1.8*7= 6.3 cm²
