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Luda [366]
3 years ago
7

Which Roman numeral is equivalent to the number below?

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

I = 1

II = 1 + 1 = 2

V = 5

VI = 5 + 1 = 6

IV = 5 - 1 = 4

X = 10


A. XVIII = 10 + 5 + 1 + 1 + 1 = 18


B. VII = 5 + 1 + 1 = 7


C. XXVII = 10 + 10 + 5 + 1 + 1 = 27


D. XVII = 10 + 5 + 1 + 1 = 17


Answer: D. XVII

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The hypotenuse of a right triangle is 1 centimeter longer than one side and 4 centimeters longer than three times the other side
snow_tiger [21]

Answer:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

Step-by-step explanation:

Represent:

  • The opposite with a
  • The adjacent with b
  • The hypotenuse with c

Given that:

c = 1 + a

c = 4 + 3b

Required

Solve for a, b and c

c = c

So, we have:

1 + a = 4 + 3b

Subtract 1 from both sides

a = 4 -1 + 3b

a = 3 + 3b

Apply Pythagoras Theorem

c^2 = a^2 + b^2

Substitute 3 + 3b for a and 4 + 3b for c

(4 + 3b)^2 = (3 + 3b)^2 + b^2

Open brackets

16 + 12b+12b+9b^2 = 9 + 9b+9b+9b^2 +b^2

16 + 24b+9b^2 = 9 + 18b+10b^2

Collect Like Terms

10b^2 - 9b^2 + 18b - 24b + 9 - 16 = 0

b^2 - 6b -7 = 0

Expand

b^2 +b-7b-7=0

Factorize:

b(b+1)-7(b+1) =0

(b-7)(b+1) = 0

Split:

b - 7 = 0\ or\ b+1=0

b = 7\ or\ b=-1

But the adjacent of a triangle can't have a negative measurement.

So:

b = 7

Recall that:

c = 4 + 3b

a = 3 + 3b

Substitute 7 for b in the above expressions

c = 4 + 3 * 7

c = 4 + 21

c = 25

a = 3 + 3 * 7

a = 3 + 21

a = 24

Hence, the dimensions of the triangle are:

Hypotenuse = 25cm

Opposite = 24cm

Adjacent = 7cm

5 0
2 years ago
What is the slope of the line perpendicular to the given line?<br> 5x - 2y = 14
motikmotik

Answer:

-\frac{2}{5}.

Step-by-step explanation:

1) if to re-write the given equation into slope-interception form, then:

y=\frac{5}{2}x-7;

the slope of the given line is 5/2;

2) according to the rule of perpendicular, the required slope should be:

s*(5/2)=-1;

3) if to solve this equation (s*5/2=-1), then s=-2/5 or -0.4.

3 0
2 years ago
What is the sum of -14<br> and -15?
Anton [14]
-14 + (-15) = -14 - 15 = -29
Hope it helps !!! Brainliest if it is!!
3 0
2 years ago
Read 2 more answers
I need help pleaseeeeeeeeee​
DanielleElmas [232]

Answer:

4 4/2

Step-by-step explanation:

What you do is you have to do 8-4=4 5-1=4 6-4=2 so there for the answer is 4 4/2

6 0
3 years ago
Read 2 more answers
Can someone help me solve this problem (graphing/geometry)
PIT_PIT [208]

Answer:

24

Step-by-step explanation:

i quessed

5 0
3 years ago
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