MATHEMATICS HIGH SCHOOL

Please give an accurate answer and show work.

Answers

Answer 1

Answer:

Answer:

3.06

Step-by-step explanation:

$\log_(5)((2)/(3)x-2)+2=0\n\n\log_(5)((2)/(3)x-2)=-2\n\n$

This means that 5 to the power of -2 is $((2)/(3)x-2)$ , meaning that:

$(2)/(3)x-2=5^(-2)=(1)/(25) \n\n(2)/(3)x=(51)/(25) \n\n2x=(153)/(25) \n\nx=(153)/(50)=3.06$

Hope this helps!

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Calculate sin a=0.34

Answers

$sina=0.34$ has already been calculated for us, but to calculate the angle, which is what I'm assuming you want to know, we must take the inverse trigonometric function of sin.

From: $sina=0.34$ , we can derive that:

$a=sin ^(-1) 0.34$

Using a scientific calculator to solve this, we can see that the degrees that a is equal to (rounded to the nearest degree) is:

$a=20$ °

Wish you luck! :)

Seven less than a number is twenty (as an equation)

Answers

You're expression is correct if it's asking for a number that is less than 7. But if the problem is asking for some number less than seven as in seven less some number, then it's 7-n. For example: 4 less than 7 is 7-4.

Hope this helps!

If K is the midpoint of HJ, HK equals x+6, and HJ equals 5x-6, then KJ equals?

Answers

Hello,

5x-6=2(x+6)
==>3x=6
==>x=2
==>KJ=HK=x+6=8

what value of X makes the equation 4x -5= -6x+15 true? a)2
b)1
c)-5
d)-10

Answers

The solution is Option A.

The value of x in the equation 4x - 5 = -6x + 15 is x = 2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the value of equation A is

4x - 5 = -6x + 15 be equation (1)

Now , on simplifying the equation , we get

4x - 5 = -6x + 15

Adding 6x on both sides of the equation ,we get

10x - 5 = 15

Adding 5 on both sides of the equation , we get

10x = 20

Divide by 2 on both sides of the equation, we get

x = 20/10

x = 2

Therefore , the value of x is 2

Hence , The value of x in the equation 4x - 5 = -6x + 15 is x = 2

To learn more about equations click :

brainly.com/question/10413253

#SPJ2

4x -5= -6x+15 separete terms by kind

4x + 6x = 15 + 5 calculate

10x = 20 divide all by 10

x = 2 ALTERNATIVE A

A fountain on a lake sprays water in a parabolic arch modeled by the equation y = −0.4x2 + 3x, where y is the height in feet and x is the horizontal distance. A beam of light is passed through the fountain to create a rainbow effect. If the beam is directed at an angle modeled by the equation -2.2x + 4.9y = 8.18, at what distance from the ground will the beam first touch the water spray?

Answers

Hello,

y=-1.4x²+3x
y=2.2/4.9 x +8.18/4.9

-0.4x²+3x=2.2/4.9 x +8.18/4.9

==>1.96 x² -12.5x +8.18=0
Δ=92.1188....=9.597...²

x=(12.5-9.597...)/(2*1.96)=0.7403433....
=>y=-0.4*0.7403...²+3*0.7403...=2.00178682...

Answer: 2.001... ft

given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Give an example choosing your own values for a and b

Answers

The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
Hope this helps!

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