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3 years ago

In triangle ABC, (angle A) is a right angle and (m angle B) = 45deg.

Mathematics

2 answers:

Ratling [72]3 years ago

4 0

We can use the ratios for special triangles (see the attachment below). We'll be using the 45-45-90 triangle. We notice that side BC is equal to $x \sqrt{2}$ , and side AC (x using the special right triangle) is equal to 16. We can therefore say that side BC is equal to $16 \sqrt{2}$ ft

:)

mariarad [96]3 years ago

4 0

I believe it would be 16 ft square root 3 ft.

Correct me if I'm wrong! :)

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A circle is centered at the point (-7,-1) and passes through the point (8,7).

cluponka [151]

The radius of the circle is __17___ units.
(Enter a whole number, not decimals)

The point, (-15, _-16_ ) lies on it's circle.

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3 years ago

Using complete square to slove for x in the equation (x+7) (x-9)=25

Brrunno [24]

Answer:

$x_1=1+\sqrt{89}\\\\x_2=1-\sqrt{89}$

Step-by-step explanation:

Apply Distributive property:

$(x+7)(x-9)=25\\\\x^2-9x+7x-63=25$

Add like terms and then add 63 to both sides of the equation:

$x^2-2x-63=25\\\\x^2-2x-63+63=25+63\\\\x^2-2x=88$

Pick the coefficient of the x term, divide it by 2 and square it:

$(\frac{2}{2})^2=1$

Add it to both sides of the equation:

$x^2-2x+1=88+1$

Rewriting the left side as a squared binomial, we get:

$(x-1)^2=89$

Apply square root to both sides:

$\sqrt{(x-1)^2}=\±\sqrt{89}\\\\x-1=\±\sqrt{89}$

And finally we need to add 1 to both sides of the equation. Then we get:

$x-1+1=\±\sqrt{89}+1\\\\x=\±\sqrt{89}+1\\\\\\x_1=1+\sqrt{89}\\\\x_2=1-\sqrt{89}$

8 0

3 years ago

13. Jody is supplying his food truck for the week. He buys 32 pounds of pork and 50 pounds of chicken for a total of $185. He re

larisa [96]

Answer:

Pork is $1.75 per pound (x=1.75)

Chicken is $2.58 per pound (y=2.58)

Step-by-step explanation:

Key skills needed for this problem: Linear Equations, Systems, Elimination

1) Use x and y for the pork and the chicken and you will get 2 equations:

32x + 50y = 185
8x + 20y = 65.6

We can use elimination in this system.

2) To use elimination, we can multiply the 2nd equation by -4:

-4(8x + 20y) = 65.6(-4) becomes -32x-80y = -262.40

3) Next add both equations:

32x + 50y = 185

-32x - 80y = -262.4

-----------------------------

-30y = -77.4

y = $2.58

4) Next we can substitute the y value into one of the equations. I like the first one so I used that one ---> 32x + 50(2.58) = 185

50(2.58) is equal to 129 so ---> 32x + 129 = 185

-129 -129

------------------------

32x = 56

Divide by 32 and get x= $1.75

5) Therefore, It is $1.75 per pound of pork, and $2.58 per pound of beef.

Hope you understood and have a nice day!! :D

4 0

3 years ago

i am greater than one-fourth but less than four tenths . i am a decimal rounded to the hundreds place. what number am i

artcher [175]

(0.25,0.40). Written in interval notation. It can be any number greater than 1/4 but less that 4/10.

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3 years ago

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What is the solution to the system of equations graphed below?

FrozenT [24]

Step-by-step explanation:

The intersection point of the two equations is the solution of the system.

(-5,1)

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3 years ago

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