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Oksanka [162]
3 years ago
15

Consider the following figure.

Mathematics
1 answer:
kirill [66]3 years ago
7 0

Answer:

80 units.

Step-by-step explanation:

The rectangle ABCD is drawn and attached in the image below. The diagonal BD measures 100 units, the side BC measures 60 units.  We need to find the measure of side DC which is represented by x in the figure.

Note that a Right Angled Triangle DCB is being formed with BD as the hypotenuse and sides BC and DC as its two legs. The Pythagoras Theorem relates the length of hypotenuse and the two legs of the Right Angled Triangle as:

c^{2}=a^{2}+b^{2}

c is the length of hypotenuse = 100

a is the length of one leg = 60

b is the length of second leg = x

Using these values, we get:

100^{2}=60^{2}+x^{2}\\\\ x^{2}=100^{2}-60^{2}\\\\ x^{2}=6400\\\\ x = 80

Therefore, measure of the side DC is 80 units

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-1+1=0. So your answer is -1 and 1
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2 years ago
a triangle with vertices at A (-1,1), B(-2,1) C(-1,4) is translated. the image of vertex A has coordinate at (3,-1) determine th
Drupady [299]
For this case we have the following vertices:
 A (-1,1) --------> A '(3, -1)
 B (-2.1)
 C (-1,4)
 We note that the translation rule is:
 (x, y) -----------> (x + 4, y-2)
 Applying the translacion rule we have:
 B (-2, 1) -----------> (-2 + 4, 1-2) ------> B '(2, -1)
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 Answer:
 
The image of vertex B or the image of Vertex C are:
 
B '(2, -1)
 
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7 0
3 years ago
Order from greatest to least<br> 5 1/2, 5.05, 5 5/9<br> 37/10, 3 2/5, 3 1/4<br> 5/7, 5/6, 5/12
bonufazy [111]
3 2/8, 5/7, 5/6 5/12

Greatest to least: 5 5/9, 5 1/2, 5.05, 37/10, 3 4/10, 3 1/4, 5/6, 5/7, 5/12.
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2 years ago
A fitness club charges $25 per month as well as a one-time $80 fee of all new members which equation represents the cost in doll
madam [21]

Answer: So if you want to find the total cost (c) for a certain number of months (m) and it costs $35 per month, you just need to multiply the number of months by the cost per month. So

35m=c

If you want to see the units cancel

($35/month)(months)=$

The months will cancel out, and you will be left with total dollars.

Not sure about the second part of your question, but if you wanted to figure out how much it would cost to be a member for 6 months, you would just plug in 6 for m.

35(6)=c

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So $210

Step-by-step explanation:

4 0
3 years ago
The equation 3x2 = 6x – 9 has two real solutions<br> True<br> O False
devlian [24]

Answer:

False

Step-by-step explanation:

We first write the equation in the form ax² + bx + c=0 which gives us:

3x² - 6x + 9=0

Given the quadratic formula,

x= [-b ±√(b²- 4ac)]/2a ,the discriminant proves whether the equation has real roots or not.

The discriminant, which is the value under the root sign, may either be positive, negative or zero.

Positive discriminant- the equation has two real roots

Negative discriminant- the equation has no real roots

Zero discriminant - The equation has two repeated roots.

In the provided equation, b²-4ac results into:

(-6)²- (4×3×9)

=36-108

= -72

The result is negative therefore the equation has no real solutions.

3 0
3 years ago
Read 2 more answers
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