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4 years ago

A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters.

2 answers:

7 0

54 centimeters

Since you have to multiply 3 by 9 to get 27 meters, you also have to multiply 6 by 9 to get the number of centimeters, which is 54 cm. It’s a ratio problem.

6:3::x:27

x = 54

Masteriza [31]4 years ago

3 0

Answer:

54 cm

Step-by-step explanation:

We can use proportions to solve this problem. Put the blue print size on the top and the real life size on the bottom.

6 cm x cm

----------- = -------------

3 meters 27 meter

Using cross products

6* 27 = 3 *x

Divide each side by 3

6/3 * 27 = 3x/3

54= x

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Can someone help me find the roots of 3x^2+36x+81=0

Soloha48 [4]

Answer:

-3 and -9 are the roots.

Step-by-step explanation:

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3 years ago

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8 more than a number is greater than or equal to 0. Find the number.

Alenkinab [10]

we are given that

8 more than a number is greater than or equal to 0

Let's assume that number as 'x'

8 more than a number is

$x+8$

now, it is greater than or equal to 0

so, we can write as

$x+8\geq 0$

now, we can solve for x

Subtract both sides 8

$x+8-8\geq 0-8$

$x\geq -8$ ...............Answer

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4 years ago

Sarafina is making monthly payments into an annuity. She wants to have $900 in the fund to buy a new convection range in six m

Oksi-84 [34.3K]

$\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\bf \begin{cases}
A=
\begin{array}{llll}
\textit{accumulated amount}\\
\end{array}\to &
\begin{array}{llll}
900
\end{array}\\
pymnt=\textit{periodic payments}\\
r=rate\to 8.4\%\to \frac{8.4}{100}\to &0.084\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly payments, thus}
\end{array}\to &12\\

t=years\to \frac{6}{12}\to &\frac{1}{2}
\end{cases}
\\\\\\
900=pymnt\left[ \cfrac{\left( 1+\frac{0.084}{12} \right)^{12\cdot \frac{1}{2}}-1}{\frac{0.084}{12}} \right]$

solve for "pymnt"

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3 years ago

Joe walked 2/6 of a mile on Monday. On Tuesday he walked another 2/9 of a mile. How far did joe walk on Monday and Tuesday?

tankabanditka [31]

Answer: 5/9 of a mile

Step-by-step explanation:

2/6 + 2/9

3/9 + 2/9

5/9

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3 years ago

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Angle x is a third quadrant angle such that cos x = -1/5.

Yuki888 [10]

Starting from the formula

$\cos^2(x)=\dfrac{1+\cos(2x)}{2}$

We can divide all the angles by 2 and we get

$\cos^2\left(\dfrac{x}{2}\right)=\dfrac{1+\cos(x)}{2}$

And finally

$\cos\left(\dfrac{x}{2}\right)=\pm\sqrt{\dfrac{1+\cos(x)}{2}}$

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

$\cos\left(\dfrac{x}{2}\right)=-\sqrt{\dfrac{1+\cos(x)}{2}}$

You know that

$\cos(x)=-\dfrac{1}{5}$

so, plug that value into the expression and you'll get cos(x/2).

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3 years ago