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Vladimir79 [104]
3 years ago
7

If triangle ABC has sides of lengths 6, 10, and x + 3, between which two numbers must the value of x lie?

Mathematics
2 answers:
deff fn [24]3 years ago
3 0

Certain inequalities define the possible side lengths of triangles. For example, a side cannot be greater than the sum of the other two. ... To find out if a set of three positive points can represent the lengths of the sides of a ... Since x is an integer, x can be equal to numbers 7, 8, 9, 10, or 11 (the numbers that lie between 6 and ...Answer:

Step-by-step explanation:

Finger [1]3 years ago
3 0

Answer:

Step-by-step explanation:jhbhbhjvjhvkhvmvghv

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A rectangle patio that originally measured 5 feet by 10 feet was extended on one side each by x feet. The area of a new, larger,
Neporo4naja [7]
We solve for the area of the original triangle and solution is shown below:
Original triangle area = LW = 5*10 = 20 squared units

If we extend this x on one side that resulted to L-shaped, we have the new area such as shown below:
New area = (L+X) (W)
126 = (5+x) * 10
126/10 = 5+x
12.6 - 5 = x
7.6 =x

I. The equation that could be used to solve for x is below:
126 = (5+x)*w
II. We arrived on this because of the statement that "x is added to one side that resulted to L-shaped rectangle, therefore it is added on 5 ft side"
III. The value of x is equal to 7.6 ft.
5 0
3 years ago
A veggie wrap at Dylan's Diner is composed of 3 different vegetables and 3 different condiments wrapped up in a tortilla. If the
rosijanka [135]

Answer:

5C1 (9C3) (5C3)

And replacing we got:

\frac{5!}{1! 4!} (\frac{9!}{3! (9-3)!}) (\frac{5!}{3! (5-3)!}) = 5*84*10=4200

So then we have a total of 4200 possibilities in order to have a veggle wrap

Step-by-step explanation:

For this case we can use the combinatory formula given by:

nCx= \frac{n!}{x! (n-x)!}

And for this case we have a total of 9 vegatables and 5 condiments and 5 types of tortilla. Then the total number of possibilities are:

5C1 (9C3) (5C3)

And replacing we got:

\frac{5!}{1! 4!} (\frac{9!}{3! (9-3)!}) (\frac{5!}{3! (5-3)!}) = 5*84*10=4200

So then we have a total of 4200 possibilities in order to have a veggle wrap

8 0
3 years ago
A scientist is studying bacteria and records the number of bacteria over time. The scientists determines that the function N(t)=
Cloud [144]

Answer:

(A) The number of bacteria is originally 300 and increases by 30% every hour

Step-by-step explanation:

I am assuming the function should actually read:

N(t)=300\cdot 1.30^t

(i.e., there should be a "t" in the exponent. if this is not the case please disregard my answer).

According to the above exponential function, the initial amount 300 grows as (1+0.3)*300=300+0.3*300. In other words it increases by 30% every hour (t).

Your answer choice (A) is likely a candidate, except I am missing "every hour" at the end (again, am assuming this was omitted by mistake)


6 0
4 years ago
Ryan has a bank account balance of −$17.62. As soon as he realizes this, he deposits $26.50 in the account.
nirvana33 [79]

Answer:

$466.93

Step-by-step explanation:

I multiplied by 26.50 & 17.62 and that got me $466.93. Or you can divide that into 17.62 = $1.50

4 0
3 years ago
A family plans a road trip from Fairbanks to Newbury. The distance between the two cities is 240 miles when traveling on the hig
alex41 [277]

Using proportions, it is found that the family will drive 482.8 km on the new route.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:

D = 1.25 x 240 = 300 miles.

Since there are are approximately <u>48.28 kilometers in 30 miles</u>, and 300/30 = 10, the distance in kilometers is given by:

D = 48.28 x 10 = 482.8 km.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
2 years ago
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