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2 years ago

A rectangle has a width of nine units in the length of 40 units what is the length of a diagonal

Mathematics

2 answers:

shepuryov [24]2 years ago

5 0

Answer:

Applying the Pythagorean theorem, the diagonal is calculated by:

D = sqrt(40^2 + 9^2) = 41

Hope this helps!

8_murik_8 [283]2 years ago

4 0

Answer:

Step-by-step explanation:

Imagine a right triangle with legs length 9 and 40, and hypotenuse is the diagonal length c.

a^2+b^2=c^2

9^2+40^2=c^2

81+1600=c^2

1681=c^2

sqrt both sides

41=c

The length of the diagonal is 41 units

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Someone plssss helppppp i need it finished in like 20 min plsss help

denis23 [38]

Answer:

number of guest tickets, g, is 100 tickets

number of student tickets, s, is 125 tickets

Step-by-step explanation:

Given;

total number of tickets sold, t = 225 tickets

cost of each guest ticket, = $5.5

cost of each student ticket, = $3.5

total cost of the tickets, Tc = $987.5

number of guest tickets = g

number of student tickets, = s

g(5.5) + s(3.5) = 987.5 ------- (1)

g + s = 225 ----------- (2)

From equation (2); s = 225 - g

Substitute the value of g in equation (1)

5.5g + 3.5(225 - g) = 987.5

5.5g + 787.5 - 3.5g = 987.5

5.5g - 3.5g = 987.5 - 787.5

2g = 200

g = 200 / 2

g = 100 tickets

Then, s = 225 - g

s = 225 - 100

s = 125 tickets

3 0

2 years ago

Diego says tha the product of 0.51 x 2.427 will have five decimal places. Is Diego correct. Explain

krek1111 [17]

Correct. 0.51 × 2.427 = 51 × 2427 / 10×1000

5 0

2 years ago

which of the fallowing functions has a slope 3/2 and contains the midpoint segment between (6, 3) and (-2, 11)?

kolbaska11 [484]

Well, we know the slope is 3/2, what's the midpoint of those anyway?

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 6}}\quad ,&{{ 3}})\quad 
% (c,d)
&({{ -2}}\quad ,&{{ 11}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{-2+6}{2}~~,~~\cfrac{11+3}{2} \right)\implies (2,7)$

so, what's the equation of a line whose slope is 3/2 and runs through 2,7?

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ 7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-7=\cfrac{3}{2}(x-2)
\\\\\\
y-7=\cfrac{3}{2}x-3\implies y=\cfrac{3}{2}x+4$

4 0

2 years ago

Rationalize the denominator (-7x^2)/√(6x-6)

Alex777 [14]

$\bf \cfrac{-7x^2}{\sqrt{6x-6}}\cdot \cfrac{\sqrt{6x-6}}{\sqrt{6x-6}}\implies \cfrac{-7x^2\sqrt{6x-6}}{\sqrt{(6x-6)^2}}\implies \cfrac{-7x^2\sqrt{6x-6}}{6x-6}$

the idea being, getting rid of the pesky radical at the bottom, simply multiply it by something that'd raise it to the root, so it gets out :)

5 0

2 years ago

Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account which inequality s

koban [17]

It would take Brad five months with adding $25 every month with a starting value of $75 in his bank account to save at least $200

7 0

2 years ago

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