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Setler [38]
3 years ago
12

What is the approximate area of the congruent orange right triangles?

Mathematics
2 answers:
hichkok12 [17]3 years ago
6 0

Answer:

17 in²

Step-by-step explanation:

area is equal to base multiplied to height by 2

base=3.23 in

height=5.12in

area of one triangle = 5.12 * 3.23/2

= 16.536/2

= 8.2688

these triangles are congruent so area of other triangle is also equal to 8.2688

total area= 2*8.2688

= 16.5376

round off

answer =17 in²

BartSMP [9]3 years ago
4 0
I think A. 17 in 2
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In what year was her grandpa lopez twice as old as her dad?show how you know
RoseWind [281]
So,

We are trying to figure out when Grandpa Lopez's age was twice that of Dad.

Let x represent the number of years before/after when G. Lopez's age was twice that of Dad.

66 + x = 2(37 + x)

Distribute.
66 + x = 74 + 2x

Subtract x from both sides.
66 = 74 + x

Subtract 74 from both sides.
-8 = x

So 8 years ago, G. Lopez was twice as old as Dad.  Let's check that.

66 - 8 = 58

37 = 8 = 29

29 * 2 = 58
58 = 58

It checks.
8 0
3 years ago
Determine whether 2x+2y= -6 is a function?
Archy [21]

Answer:

It's a function because when you simplify it becomes y=-x-3. the only reason it wouldn't be a function would be if the equation were to be x = a random number that is not a variable. The equation would not pass the vertical line test which is the requirement to see if an equation is a function.

Simply put, it's a function.

5 0
2 years ago
Read 2 more answers
Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
3 years ago
A painting is 4 feet long.A photo frame is 10 inches long.How many inches longer is the painting then the photo frame?
Galina-37 [17]
Change 4 feet to inches
4 feet is 48 inches
48-10=38
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3 years ago
Which of the following is the converse of the statement "if it is summer, then it is warm outside"?
konstantin123 [22]
If it is winter then it is cold inside
4 0
3 years ago
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