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3 years ago

HELP WILL MARK BRAINLIEST

Mathematics

2 answers:

Soloha48 [4]3 years ago

8 0

Answer:

Step-by-step explanation:

3÷9 = 0.333333

× 72 = 24

Mariana [72]3 years ago

5 0

Answer:

r = 24

Step-by-step explanation:

3/9 = 1/3

72/3 = 24

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What is the range for this set of data?

hodyreva [135]

Answer:

What data set?

Step-by-step explanation:

I would help you only if you put the data set tho.

7 0

3 years ago

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

3 years ago

Solving an exponential equation

sammy [17]

Answer:

To solve an exponential equation, take the log of both sides, and solve for the variable.

Step-by-step explanation:

Example 1: Solve for x in the equation tex2html_wrap_inline119 .

Solution:

Step 1: Take the natural log of both sides:

displaymath121

Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:

displaymath123

Step 3: Simplify the left side of the above equation: Since Ln(e)=1, the equation reads

displaymath127

Ln(80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln(80)..

Check: Check your answer in the original equation.

displaymath131

8 0

3 years ago

Can I get some help please. At State University, the cost of tuition is $7278, housing is $3260, the meal plan is $2140, and boo

9966 [12]

The answer would be 29,112. That would be including the subtracted contribution.

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3 years ago

Please help! If GDEF is a square, GE=4x+1 and DF=8x-51, find the value of x.

zepelin [54]

Answer:

x = 13

Step-by-step explanation:

1. 4x + 1 = 8x - 51

2. 4x = 8x - 52

3. -4x = -52

4. x = 13

5 0

3 years ago

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