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krek1111 [17]
3 years ago
15

find the area of a right triangle with hypotenuse of length 10 and the height perpendicular to the hypotenuse of length 6

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

Area is 24

Step-by-step explanation:

The three sides of the triangle are 6, 8, and 10. You could use A² + B² = C² and determine that A² + 36 = 100 to find the missing side is 8.

Then, the area of the square is 6 × 8 = 48. And each triangle that makes up the square is 48 ÷ 2 = 24.

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Mark and Don are planning to sell each other their marble collections at a garage sale. If Don has 1 more than 3 times the numbe
Volgvan

Answer: Mark has 28 marbles while Don has 85 marbles.

Step-by-step explanation:

Let x represent the number of marbles that Mark has.

Let y represent the number of marbles that Don has.

If Don has 1 more than 3 times the number of marbles Mark has, it means that

y = 3x + 1

The total number of marbles is 113. It means that

x + y = 113- - - - - - - - - - - - 1

Substituting y = 3x + 1 into equation 1, it becomes

x + 3x + 1 = 113

4x + 1 = 113

4x = 113 - 1 = 112

x = 112/4

x = 28

y = 3x + 1 = 3 × 28 + 1

y = 85

4 0
3 years ago
Find all real solutions of the equation. (Enter your answers as a comma-separated list.)
34kurt

Answer:

0,1

Step-by-step explanation:

x^2 − x = 0

Factor out an x

x(x-1) =0

Using the zero product property

x=0     x-1=0

Solving each equation

x=0    x-1+1 =0+1

x=0      x=1

The solutions are

x=0,1

7 0
3 years ago
Combine like terms . What is a simpler form of the expression? 2(x/2 -5)-3/2(x+7/4). Please Explain.
Aleks04 [339]
Are you able to expand everything first? from there you would be able to combine line terms. basically if you have 3x+2x it would combine to 5x because they have x in them.
5 0
3 years ago
Read 2 more answers
Will give any wanted points!! help quick!!
gayaneshka [121]

Here , the ratio <em><u>UV:</u></em><em><u>VW</u></em> and <em><u>UT:TS</u></em> will be in proportion , so ;

{:\implies \quad \sf \dfrac{UV}{VW}=\dfrac{UT}{TS}}

Putting the given values ;

{:\implies \quad \sf \dfrac{18}{36}=\dfrac{UT}{24}}

{:\implies \quad \sf UT=\dfrac{1}{2}\times 24}

{:\implies \quad \bf \therefore \quad \underline{\underline{UT=12 \:\: units}}}

4 0
2 years ago
Evaluate the given expression if w = 6 and z = -3.
LenaWriter [7]
The answer will be 75
-3*-3*-3*-3=81
Z^4-w
81-6=75
5 0
3 years ago
Read 2 more answers
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