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3 years ago

7

ANSWER QIUCK PLEASE THANKS YOU

2 answers:

LUCKY_DIMON [66]3 years ago

8 0

Answer:

3 3/11

Step-by-step explanation:

marysya [2.9K]3 years ago

8 0

Answer: 33/11 or 3.<u>27</u> or 3 3/11

Step-by-step explanation:

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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

2.5. Five friends went out to dinner. They each paid $13.75 for the meal, including a 7% sales tax. What was the total cost of t

Liula [17]

This is the answer D.73.92

8 0

2 years ago

Abigail bought some mangoes at 3 for GH¢ 0.90 and sold all at 4 for GH¢ 1.60.If she made a profit of GH¢ 35.00,how many mangoes

umka21 [38]

Answer:

2

Step-by-step explanation:

Total costs = 4 + (3 * 2) + 5 + 15

Total costs = 4 + 6 + 5 + 15

Total costs = $ 30

Substituting values we have:

Total change = 32 - 30

Total change = 2 $

6 0

2 years ago

What is the equation in point slope form of the line that passes through the points (-3,5) and (2,-3)?

SOVA2 [1]

Answer:

y - (-3) = -8/5 (x - 2)

Step-by-step explanation:

-3 -5 = -8

2 - (-3) = 5

slope = -8/5

y - (-3) = -8/5 (x - 2)

3 0

3 years ago

Niko wants to buy a bicycle that costs $145. He has already saved $25. He says that he can determine the amount he still needs t

nevsk [136]

145 - 25 = b
b = 120

4 0

2 years ago

Read 2 more answers