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Savatey [412]
3 years ago
6

A restaurant needs to build a wheelchair ramp for its customers. The angle 2 of elevation for a ramp is recommended to be 5 degr

ees. If the vertical distance from the sidewalk to the front door is two feet, what is the horizontal distance that the ramp will take up? Round your answers to the nearest hundredth. * O a) 22.9 ft O b) 26.4 ft O c) 22.8 ft O d) 22.2 ft​

Mathematics
1 answer:
melomori [17]3 years ago
3 0

Answer:

Step-by-step explanation:

An escalator at a shopping center is 200.75 feet long and rises at an angle of 15⁰. What is the vertical rise of the escalator? Round to hundredths place

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If this particular arithmetic sequence, a7=34 and a15=74. What is the value of a21
Ilya [14]
This is an arithmetic sequence, meaning, to get the next term, you simply add some value to the current one, namely the "common difference" "d".

now, we know the 17th term is 34, let's go to the 15term then

34 + d
34 + d + d
34 + d + d + d
34 + d + d + d + d
34 + d + d + d + d + d
34 + d + d + d + d + d + d
34 + d + d + d + d + d + d + d
34 + d + d + d + d + d + d + d + d

now, notice, we got to the 15th term, which is 34  + d + d + d + d + d + d + d + d, or namely 34 + 8d, it just so happen we know is 74, therefore,

\bf 34+8d=74\implies 8d=40\implies d=\cfrac{40}{8}\implies \boxed{d=5}

ok, now that we know what the common difference is, let's find the first term in the sequence using the 7th term of 34,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
n=7\\
d=5\\
a_7=34
\end{cases}
\\\\\\
a_7=a_1+(7-1)5\implies 34=a_1+(7-1)5
\\\\\\
34=a_1+30\implies \boxed{4=a_1}

and now let's use those 2 found folks, to get the 21st term,

\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=4\\
d=5\\
n=21
\end{cases}
\\\\\\
a_{21}=4+(21-1)5\implies a_{21}=4+100\implies a_{21}=104
3 0
3 years ago
I will mark brainliest, Please answer d). How do I do this question and what is the answer.
vampirchik [111]

The lowest common denominator of the two fractions is 4 because it is the smallest number that both fractions can be transformed into. 3/2 is multiplied by 2 to create 6/4 which can be added to 11/4.

7 0
3 years ago
Read 2 more answers
Lydia is making spaghetti sauce at a community luncheon. Each batch requires 1⁄2 teaspoon of salt, 1⁄3 teaspoon of oregano, 1⁄4
Troyanec [42]

Salt is used in the largest quantity in Lydia's recipe.

<em><u>Explanation</u></em>

Required spices are......

Salt = \frac{1}{2} teaspoon , Oregano = \frac{1}{3} teaspoon, Crushed thyme = \frac{1}{4} teaspoon and Black peeper = \frac{1}{8} teaspoon

For finding the largest quantity, first we need to make the denominators of each fraction as equal and then identify the largest numerator.  

The denominators are 2, 3, 4 and 8 and their LCM(Least common multiple) will be 24. So.....

\frac{1}{2}= \frac{1*12}{2*12}=\frac{12}{24} \\ \\ \frac{1}{3}=\frac{1*8}{3*8}=\frac{8}{24}\\ \\ \frac{1}{4}=\frac{1*6}{4*6}=\frac{6}{24}\\ \\ \frac{1}{8}=\frac{1*3}{8*3}=\frac{3}{24}

As the largest numerator is 12 here, so the value of \frac{1}{2} is largest among all the fractions.

Thus, <u>Salt</u> is used in the largest quantity in Lydia's recipe.

5 0
3 years ago
To ensure that the horizontal segments are parallel, x must equal
andrezito [222]

Answer:

53

Step-by-step explanation:

Because its 53.

6 0
3 years ago
Megan bought a box of 30 cookies. She ate 1/3 of
nevsk [136]
She ate 10 cookies

1/3 of 30 is 10
6 0
3 years ago
Read 2 more answers
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