All categories

3 years ago

Diagonal of a rectangle Pythagorean theorem

Mathematics

1 answer:

kykrilka [37]3 years ago

4 0

Answer:

a squared + b squared = c squared

find the base, that's a, find the other side, that's b

a*a+b*b=c*c

You might be interested in

How to do this step by step?

serg [7]

The answer is 27.6
angle version of the law of cosines:

cos(C) = (a^2 + b^2 − c^2)/2ab

cos(A) = (b^2 + c^2 − a^2)/2bc

cos(B) = (c^2 + a^2 − b^2)/2ca

cos A = (b^2 + c^2 − a^2) / 2bc
cos A = (10^2+20^2-14^2)/200
cos A = (100+400-196)/200
cos A = (500-196)/200
cos A = (304)/200
cos A = (1.52)
A = cos^-1(1.52) = 40.54 degrees

cos B = (c^2+a^2-b^2)/2ca
cos B = (20^2+14^2-10^2)/280
cos B = (400+196-100)/280
cos B = (496)/280
cos B ≈ 1.77
B = cos^-1(1.77) = 27.66 degrees

we have two methods left to find the measure of angle C:
method 1 :
cos C = (a^2+b^2-c^2)/2ab
cos C = (14^2+10^2-20^2)/140
cos C = (196+100-400)/140
cos C = (-104)/140
cos C ≈ -0.74

C = cos^-1(-0.74) = 111.8 degrees

method 2: 40.54+27.66 = 68.2
180-68.2=111.8

The measure of angle A: 40.54
The measure of angle B: 27.66
The measure of angle C: 111.8

6 0

4 years ago

PLS HELP!! WILL MAKE BRAINLIEST!!!!

poizon [28]

Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

$(33,-22)\\(52,-33)$

$\frac{-22-33}{33-52} =\frac{-55}{-19}=\frac{55}{19}$

Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

$(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b$

Now just solve for b to get the y intercept:

$-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\ -\frac{4741}{19}=b$

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

$0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x$

And that's the x-intercept.

5 0

2 years ago

Read 2 more answers

Jamie has $114.56 in her savings and count and her bank just raised the interest paid on her savings account by 1/2%. if her old

zaharov [31]

Answer:

0.5025%

Step-by-step explanation:

The question is on increase and decrease

The old interest rate= .5%⇒0.5%

percentage increase= 1/2%= 0.5%

New rate= it requires you to increase 0.5 by 0.5%

New rate is ⇒100%+ 0.5%=100.5%

New rate⇒(100.5/100)×0.5 =0.5025

New rate as a decimal is 0.5025%

5 0

3 years ago

Solve the equation 2x-3=15 A)x=6 B)x=9 C)x=24 D)x=36

DaniilM [7]

To solve the equation, it is necessary to isolate the unknown variable "x" first. This is done as shown below:

2x - 3 = 15

Adding 3 to both sides of the equation:

2x - 3 + 3 = 15 + 3
2x = 18

Dividing 2 from both sides:

2x/2 = 18/2
x = 9

Among the choices, the correct answer is B.

5 0

4 years ago

I need some help please

Nadya [2.5K]

Answer: I: (3, +infinity) D: (-infinity, 3) (this is the fourth answer)

Step-by-step explanation: The graph is decreasing left to right until 3, and begins to increase from left to right beginning at 3.

4 0

3 years ago