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Verizon [17]
3 years ago
5

A board 14 1/4 inches long is cut from a board that is 2 feet long. If the width of the saw cut is 1/8 inch, what is the length

of the remaining piece?
Mathematics
1 answer:
Kitty [74]3 years ago
5 0
The answer is x=16.4375
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A tree with a height of 4 ft casts a shadow 15ft long on the ground how tall is another tree that cast a shadow which is 20ft lo
wariber [46]

Height of another tree that cast a shadow which is 20ft long is 5 feet approximately

<h3><u>Solution:</u></h3>

Given that tree with a height of 4 ft casts a shadow 15ft long on the ground

Another tree that cast a shadow which is 20ft long

<em><u>To find: height of another tree</u></em>

We can solve this by setting up a ratio comparing the height of the tree to the height of the another tree and shadow of the tree to the shadow of the another tree

\frac{\text {height of tree}}{\text {length of shadow}}

Let us assume,

Height of tree = H_t = 4 feet

Length of shadow of tree = L_t = 15 feet

Height of another tree = H_a

Length of shadow of another tree = L_a = 20 feet

Set up a proportion comparing the height of each object to the length of the shadow,

\frac{\text {height of tree}}{\text {length of shadow of tree}}=\frac{\text { height of another tree }}{\text { length of shadow of another tree }}

\frac{H_{t}}{L_{t}}=\frac{H_{a}}{L_{a}}

Substituting the values we get,

\frac{4}{15} = \frac{H_a}{20}\\\\H_a = \frac{4}{15} \times 20\\\\H_a = 5.33

So the height of another tree is 5 feet approximately

8 0
3 years ago
What is the slope of this line?<br><br> A 1/3<br> B -3<br> C 3<br> D -1/3
aleksandr82 [10.1K]
The slope is 3 so the answer would be 3. Hope it helps! :)
4 0
3 years ago
Read 2 more answers
Determine the​ value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s
Leni [432]

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]

Transform this matrix in a row-echelon form:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]   R_{2} = 3R_{2}+R_{1} \left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]

For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

3 0
3 years ago
Company A is offering $6,000 for the first month's salary and will increase the amount each month by $5,000. Company B is offeri
Alex17521 [72]

The month in which Company B's payment will first exceed Company A's payment is C) Month 7.

Step-by-step explanation:

Step 1:

Company A offers $6,000 for the first month and increases the salary each month by $5,000.

Company B offers $700 for the first month but doubles the payments each month.

We need to determine which month company B's payment is greater than company A's payment.

Step 2:

According to the table, at month 6 company A pays $31,000 while company B pays $22,400.

However after this month, in the seventh-month company A pays $36,000 while company B pays $44,800, which is higher than company A's salary.

So The month in which Company B's payment will first exceed Company A's payment is C) Month 7.

4 0
3 years ago
An advertising company conducted a survey to determine how often people of different ages shopped online. The table shows the da
ohaa [14]

Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

4 0
3 years ago
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