an environmental group is making signs for an upcoming community recycling day. They want the signs to be equilateral triangles with heights of 35 in. How long in inches is each side of the signs be? Round your answer to the nearest tenth of an inch

Answers

Answer 1

Answer: Hello,

If x is the hypotenus,x/2 is the half base of the triangle
so with the Pythagorean theorem, we know that:

x²=(x/2)²+35²
==>x²=x²/4 +35²
==>3x²/4=35²
==>x²=4*35² /3
==>x=2*35/√3
==>x=70/√3
==>x=40,41451884...≈40.4 (in)

Answer 2

Answer: This is a question for Pythagoras!

x^2 - 1/2x^2 = 35^2
1/2x^2 = 35^2
x^2 = 2(35^2)
x^2 = 2450
x = 49.49747

To the nearest tenth of an inch, the answer is 49.5

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Can you help pls i rlly need help

Answers

For the first question the equation would be 200 + 50x

The second equation should be
200 + 50(1) = 250

Answer:

200+50x = first month

50x (x represents number of months)

First month is 200+5=$250

Step-by-step explanation:

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

$x=-1,-7$

Step-by-step explanation:

$x^2+8x+7=0$ where a $\neq$ 0 so a = 1 b = 8 c = 7

Quadratic Formula: $x=-b(√(b^2-4ac) )/(2a)$

$x=-8(√(8^2-4(1)(7)) )/(2(1))$

$x=-8(√(64-28) )/(2)$ Evaluate the exponent and multiply 4ac

$x=-8(√(36) )/(2)$ Subtract b^2 - 4ac and multiply 2a

$x=-8(√(6) )/(2)$ Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Find the mean of the following data set. 42, 45, 58, 63

Answers

The mean of the given data will be equal to 52.

What is mean?

Mean is defined as the ratio of the sum of the given data to the number of the counts of the data.

Given that:-

42, 45, 58, 63

The mean will be calculated as:-

Mean = Sum of the data sets ÷ Number of the data sets

Mean = ( 42 + 45 + 58 + 63 ) ÷ 4

Mean = 208 ÷ 4

Mean = 52

Therefore the mean of the given data will be equal to 52.

To know more about Mean follow

brainly.com/question/20118982

#SPJ2

To find the Mean you have to add all the numbers from the data set,
$42+45+58+63=208$
Next you divide the sum by the amount of numbers in the set,
$208/4=52$
Final Answer: 52

If 125% of a number is 425, what is 65% of the number?
Can anyone explain this one?

Answers

$125\%\ \ \rightarrow\ \ 425\n\n65\%\ \ \rightarrow\ \ x\n \n125\cdot x=65\cdot425\ /:125\n\nx= (65\cdot425)/(125) \n\nx=(5\cdot13\cdot25\cdot17)/(5\cdot25)\n\nx=13\cdot17\n\nx=221$

Write 3.2x10 square (-5) in standered form

Answers

I believe it would be 320000 sorry if I didn't really help

Find area of the triangle 15ft 10ft 10ft

Answers

Answer:

Step-by-step explanation:

i'm going to assume that the base is 10, the formula for a triangle is base x height divided by 1/2 (or 2)

15height x 10base = 150 now divided by 2, 150/2 = 75

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