Melinda paints 7/8 of a wall in 1 1/6 hours. What part of a wall does she paint in one minute.

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

In one minute she paints 1/80 of the wall

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Nial is signing a lease for an apartment that rents for $1020/month. How much will he pay to move in if he must pay the first an

Anastaziya [24]

1020 + 1020 = 2040
%60 of 1020 is:612
2040+612=2652
so third one is true

7 0

4 years ago

Read 2 more answers

Given the function value of the acute angle find the other five trigonometric function values cos a= Sqrt 7/7

PilotLPTM [1.2K]

Well, we know the angle is acute, that means is less than 90°, meaning is in the first quadrant, that means the "x" or adjacent side as well as the "y" or opposite side, are both positive.

$\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\
-------------------------------\\\\
cos(a)=\cfrac{\sqrt{7}}{7}\cfrac{\leftarrow adjacent}{\leftarrow hypotenuse}\quad \textit{now, let's find the \underline{opposite}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{7^2-(\sqrt{7})^2}=b\implies \pm\sqrt{49-7}=b\implies \pm\sqrt{42}=b
\\\\\\
\textit{now, which is it, the + or -? well, we're in the 1st quadrant, is }\sqrt{42}
$

$\bf 
\textit{now that you know all three sides, just plug them in}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\\\\\\
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\qquad 
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\quad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}$

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3 years ago

The easiest way to find THE SLOPE on a graph? Please HELP

ratelena [41]

Step-by-step explanation:

Pick two points on the line and determine their coordinates

Select one to be (x1, y1) and the other to be (x2, y2)

Finally use the slope intersect equation to calculate the slope:

Formula-

y = mx + b

Hope this helps, let me know if you need more information, I'll be glad to help! :)

3 0

3 years ago

Six times the sum of a number and twelve is forty.

solniwko [45]

X-the number

6(x + 12) = 40 |use distributive property: a(b + c) = ab + ac

6x + 72 = 40 |subtract 72 from both sides

6x = -32 |divide both sides by 6

x = -32/6

x = -16/3

x = -5 1/3

4 0

3 years ago

Which expression replaces the box to form an equation?

marissa [1.9K]

Answer:

Option B is correct

$5(8) \div 5+ 3(8)$