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3 years ago

A window shaped like a parallelogram has an area of 30 square feet. The height of the window is 4

Mathematics

1 answer:

Viefleur [7K]3 years ago

8 0

Answer:

The base of the window is 7.5 feet long.

Step-by-step explanation:

The area of a parallelogram can be found with the formula A = bh

Plug in the known values to get 30 = 4b

30 = 4b

30/4 = b

7.5 = b

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Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

1 year ago

Who answers this correctly with (explanation) gets vevmo'd/pay pal $40.

Dovator [93]

I think its 120 degree clockwise about point A and keep your money.

5 0

3 years ago

Help solve these please 1.w + 10 = 25

4vir4ik [10]

Answer:

1. w = 15

2. b = 4.8

3. s = 9.7

4. p =15

5. m = -3.2

Step-by-step explanation:

1.w + 10 = 25

we have to find the value of w, so moving 10 from left side to right side

w= 25 - 10

w = 15

2. 7.2 + b = 12

we have to find the value of w, so moving 7.2 from left side to right side

b= 12 - 7.2

b= 4.8

3. 5.3 + s = 15

s= 15 - 5.3

s= 9.7

4.p + (-25) = -10

p-25 = -10

p= -10 + 25

p= 15

3. m + (-1.6) = -4.8

m - 1.6 = -4.8

m = -4.8 + 1.6

m= -3.2

3 0

3 years ago

Read 2 more answers

For the function given state the period f(t) =6sin(3t-pi/6)-1

lapo4ka [179]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}

\end{array}$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now, with that template in mind, let's take a peek at yours

$\bf \begin{array}{lllcclll}
f(t)=&6sin(&3t&-\frac{\pi }{6})&-1\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
period\qquad \cfrac{2\pi }{B}\iff\cfrac{2\pi }{3}$

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4 years ago

What is 4501/5 equaled to?

melamori03 [73]

<h3>My answer~</h3>

900.2 or 900 1/5

<h3>My Step-by-step explanation~</h3>

basically just divide

then convert to fraction or leave as is

4 0

3 years ago

Read 2 more answers