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3 years ago

Edmund made a scale drawing of the rectangular floor of his kitchen. In the scale

Mathematics

1 answer:

Bezzdna [24]3 years ago

5 0

2.5*6.4=16, 2.5*4.8=12. 12+12+16+16=56

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A line passes through (1,1) , (-2,4) , and (6,n) . Find the value of n.

Mekhanik [1.2K]

$General\ formula\ for\ line:\\y=ax+b\\\\ Passes\ through\ (1,1)\ (-2,4)\\\\\left \{ {{1=1a+b\ |\cdot2} \atop {4=-2a+b}} \right. \\\\ \left \{ {{2=2a+2b} \atop {4=-2a+b}} \right. \\+-----\\\\6=3b\ \ |:3\\b=2\\\\1=a+2\\1-2=a\\a=-1\\\\y=-x+2\\\\Passes\ through\ (6,n):\\\\n=-6+2\\\\\boxed{n=-4}$

8 0

3 years ago

HELP PLEASE BE QUICK

natka813 [3]

Answer:

Part 7) $AB=27\ units$

Part 8) $x=1.7\ units$

Step-by-step explanation:

Part 7) Find the length of AB

we know that

The<u><em> two tangent theorem</em></u> states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same

In this problem, applying the two tangent theorem

AB=BC

substitute the given values

$15x-3=10x+7$

solve for x

$15x-10x=7+3\\5x=10\\x=2$

Find the length of AB

$AB=15x-3$

substitute the value of x

$AB=15(2)-3=27\ units$

Part 8) we know that

If CD is tangent to circle E at point C

then

Line segment CD is perpendicular to line segment EC (radius) and CDE is a right triangle

Applying the Pythagorean Theorem in the right triangle CDE

$DE^2=CD^2+EC^2$

substitute the given values

$2^2=x^2+1^2$

solve for x

$4=x^2+1\\x^2=3\\x=1.7\ units$

6 0

3 years ago

HELP PLEAS EI GIVE BRAINLISt

Shtirlitz [24]

Answer:

Step-by-step explanation:

It is not similar. it says I need at least 20 words.

6 0

2 years ago

Read 2 more answers

Tia is investing $2500 that she would like to grow to $6000 in 10 years. At what annual interest rate, compounded quarterly, mus

Ghella [55]

$\bf \qquad \textit{Compound Interest Earned Amount}\\
A=P\left(1+\frac{r}{n}\right)^{nt}

\\ \quad \\

\begin{cases}
A=\textit{current amount}\to &6,000\\
P=\textit{original amount deposited}\to &\$2,500\\
r=rate\to r\%\to \frac{r}{100}\to &0.0r\\
n=\textit{times it compounds per year, quarterly}\to &4\\
t=years\to &10
\end{cases}
\\ \quad \\
meaning
\\ \quad \\

6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}$

solve for "r"

notice, the "r" value, goes in the equation as a decimal, so 5% is really 5/100 or 0.05 25% is 0.25 and so on

so... the "r" that you'll get, will be a decimal value, multiply that by 100, and you'll get the percentage notation of it

$\bf 6,000=2,500\left(1+\frac{r}{4}\right)^{4\cdot 10}\implies\cfrac{6000}{2500}=\left(1+\frac{r}{4}\right)^{40}
\\ \quad \\
\cfrac{12}{5}=\left(1+\frac{r}{4}\right)^{40}\impliedby \textit{now, taking root }\sqrt[40]{\qquad }
\\ \quad \\
\sqrt[40]{\cfrac{12}{5}}=\sqrt[40]{\left(1+\frac{r}{4}\right)^{40}}\implies \sqrt[40]{\cfrac{12}{5}}=1+\cfrac{r}{4}
\\ \quad \\
\sqrt[40]{\cfrac{12}{5}}-1=\cfrac{r}{4}\implies 4\left( \sqrt[40]{\cfrac{12}{5}}-1 \right)=r \\ \quad \\
$
$\bf 0.0885119586095070592=r\implies 0.0885\cdot 100\implies 8.85\%=r$

5 0

3 years ago

What is the area of a triangle whose vertices are J(−2, 1) , K(4, 3) , and L(−2, −5) ?

Snowcat [4.5K]

Answer:

the area of the triangles vertices would be 25.13

Step-by-step explanation:

3 0

3 years ago