All categories

2 years ago

A rectangle has sides of length 8 cm and 3 cm. Find the length of it's diagonals.

Mathematics

2 answers:

True [87]2 years ago

6 0

Diagonal formula: a^2 + b^2 = c^2

Now, solve for the length of the diagonal.

8^2 + 3^2 = c^2

64 + 9 = c^2

73 = c^2

√73 = √c^2

8.5 ≈ c (This is the diagonal and its rounded).

Best of Luck!

slava [35]2 years ago

4 0

Using pythagoras a^2 + b^2 = c^2
8^2 + 3^2 = c^2
64 + 9 = 73
The square root of 73 is 8.54
So the length of the diagonals are 8.54cm

You might be interested in

Simplyfy using appropiate properties 1/4×2/5+-1/6×3/2+3/7×2/5

Triss [41]

Answer:

-1/35

Step-by-step explanation:

* means multiply

because of pemdas you should do three multiplication parts first

(1/4×2/5)+(-1/6×3/2)+(3/7×2/5)

1/20 - 3/12 + 6/35

3/60 - 15/60 + 6/35

-12/60 + 6/35

-1/5 + 6/35

-7/35 + 6/35

-1/35

7 0

2 years ago

Read 2 more answers

Multiple Choice What is the sum of five-sixths + start fraction 2 over 3 end fraction? A. one and one-third B. One and one half

polet [3.4K]

Answer:

Step-by-step explanation:

$\frac{5}{6} +\frac{2}{3} \\\\=\frac{5}{6}+\frac{2*2}{2*3} \\\\=\frac{5}{6}+\frac{4}{6} \\\\=\frac{5+4}{6} \\\\=\frac{9}{6} \\\\=\frac{3*3}{3*2} \\\\=\frac{3}{2}$

$=\frac{2+1}{2} \\\\=\frac{2}{2}+\frac{1}{2} \\\\=1+\frac{1}{2}$

B.One and one half

3 0

3 years ago

What does 2 times the quantity x plus 6 look like in an equation

slavikrds [6]

This is the Equation: 2x + 6

6 0

2 years ago

Read 2 more answers

Which of the following is the graph of the quadratic function y - x? +10x+16 ?

Assoli18 [71]

Find the vertex:

$\textrm{Use the formula } \frac{-b}{2a} \textrm{ to find the vertex}\\ \\ \frac{-10}{2} = -5\\ \\ \textrm{In order to find the y value plug in -5 back into the function}\\ \\ y=(-5)^2+10(-5)+16\\ y=-9\\\\ \textrm{The vertex of the function is} (-5,-9)$

Determine if the parabola will open up or down:

$a > 0 \\ \\ 1>0$

Since the value of a is positive, the parabola will open upwards

Find the x and y intercepts:

Factor $y = x^2+10x + 16$ to find the x intercepts

(x+8)(x+2)

x + 8 = 0

x = -8

x + 2 = 0

x = -2

x intercepts:

x = -2

x = -8

Find the y intercept

$y = 0^2+10(0) + 16\\\\ y=16$

Hence, C. Graph A best represents the quadratic function $y = x^2+10x + 16$

6 0

2 years ago

Which term best completes the state all _______ are rectangles A. Parallelograms B.squares C.rhombi D. None of theses

liq [111]

Answer:

The answer is B. squares.

Step-by-step explanation:

All squares are considered rectangles. Not all parallelograms are rectangles, and rhombi are not rectangles.

I hope this helped! :-)

8 0

2 years ago