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vagabundo [1.1K]
3 years ago
7

Triangle ABC is equilateral. Find the length of CD .

Mathematics
2 answers:
lilavasa [31]3 years ago
7 0

Answer:

CD = 5.20 units to the nearest hundredth.

Step-by-step explanation:

Triangle BCD is a right angled triangle with m < C = 60 degrees (because triangle ABC is equilateral).

tan 60 = 9/CD

CD = 9 / tan 60

= 5.196.

goldenfox [79]3 years ago
4 0

Answer:

The answer to your question is: CD = 5.2 units

Step-by-step explanation:

ΔABC is equilateral, then its angles are 60°, 90° and 30°

∠C = 60°

sin 60° = 6 / hypotenuse

hypotenuse = BC = 9 / sin 60

BC = 6.9

tan 60 = 9/ CD

CD = 9 / tan 60

CD = 5.2 u

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Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
ArbitrLikvidat [17]

Answer:

a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.

Step-by-step explanation:

since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis

So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642

8 0
3 years ago
dale is driving to Miami. suppose that the distance (in miles) is a linear function of his total driving time (in minutes). dale
nexus9112 [7]
Considering there is a function (relationship) and that it is linear, the distance will change proportionally to time constantly. In other words, we are taking the speed to be constant throughout the journey.
If we let:
t = time (min's) driving
d = distance (miles) from destination
Then we can represent the above information as:
t = 40: d = 59
t = 52: d = 50
If we think of this as a graph, we can think of the x-axis representing time and the y-axis representing the distance to the destination. Being linear, the function will be a line, i.e. it will have a constant gradient. If you were plot the two points inferred from the information and connect the two dots, you will get a declining line (one with a negative gradient) representing the inversely proportional relationship or equally, the negative correlation between the time driving and the distance to the destination. The equation of this line will be the linear function that relates time and the distance to the destination. To find this linear function, we do as follows:

Find the gradient (m) of the line:
m = Δy/Δx
In this case, the x-values are t-values and our y-values are d-values, so:
Δy = Δd
= 50 - 59
= -9
Δx = Δt
= 52 - 40
= 12
m = -9/12 = -3/4
Note: m is equivalent to speed with units: d/t

Use formula to find function and rearrange to give it in the desired format:
y - y₁ = m(x - x₁)
d - 50 = -3/4(t - 52)
4d - 200 = -3t + 156
4d + 3t - 356 = 0

Let t = 70 to find d at the time:
4d + 3(70) - 356 = 0
4d + 210 - 356 = 0
4d - 146 = 0
4d = 146
d = 73/2 = 36.5 miles

So after 70 min's of driving, Dale will be 36.5 miles from his destination.
3 0
3 years ago
A truck can be rented from Company A for $70.00 a day plus $0.00 per mile. Company B charges $40.00 a day plus $0.70 per mile to
inessss [21]
Sent a picture of the solution to the problem (s).

7 0
3 years ago
17. What is the area of the figure below?
Sidana [21]

If length of rectangle is 8 cm, breadth is 4 cm, side of square is 3 cm, base of triangle is 3 cm, then the area of figure will be 48.5 cm^{2}.

Given that length of rectangle is 8 cm, Breadth of rectangle is 4 cm,side of square is 3 cm,base of right angled triangle is 3 cm,height of triangle is 5 cm.

Area of figure=Area of rectangle+Area of square+Area of triangle

Area of rectangle=length*breadth

Area of square=Side*Side

Area of triangle=1/2 *Base*Height

Area of figure=8*4+3*3+1/2 *3*5

=32+9+1/2 *15

=41+15/2

=(82+15)/2

=97/2

=48.5 cm^{2}

Hence if length of rectangle is 8 cm, breadth is 4 cm, side of square is 3 cm, base of triangle is 3 cm, then the area of figure will be 48.5 cm^{2}.

Learn more about area at brainly.com/question/25292087

#SPJ9

7 0
2 years ago
What number is 11 1/3% of 215?
gogolik [260]
8 + 3/4 - 11<span> + </span>1/3<span> = - </span>215<span>/12 = - 17 </span>11/12 = - 17.9166666667; Result written as: improper fraction, mixednumber<span> (also called mixed fraction) and decimal </span><span>number</span>
3 0
3 years ago
Read 2 more answers
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