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ahrayia [7]
3 years ago
15

This is a cross section of the design of a bookshelf.

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

25 in

Step-by-step explanation:

a^{2} +b^{2} =c^{2} \\15^{2} +20^{2} =c^{2} \\225+400=c^{2} \\c^{2} =625\\c=\sqrt{625} \\c=25

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The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is t
Leona [35]

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

3 0
3 years ago
Read 2 more answers
A track team will run a 4 mile relay race. The coach divided the students into groups of 4. The first runner of each group would
natita [175]
If a track team is running a relay race, shouldnt they be running the same distance? The fourth person who runs is going to be running alot more than everyone else. 
3 0
3 years ago
I need help with 33 and 34
kenny6666 [7]
EDIT: Picture

33) When adding matrices, just add the numbers that are in the same spot. In this problem we are given A and C, and we are asked to find B if A + B = C

So B = C - A

\left[\begin{array}{ccc}2&-1&-3\\1&4&-2\\\end{array}\right] - \left[\begin{array}{ccc}4&9&-2\\-3&5&7\\\end{array}\right] = \left[\begin{array}{ccc}-2&-10&-1\\4&-1&-9\\\end{array}\right]

34) When multiplying matrices, the number of columns in the first matrix needs to be the same as the number of rows in the second matrix. Then the outcome will have the same number of rows as the first matrix and same number of columns as the second matrix. In this case, the result will be a 2x2.

6 0
3 years ago
The table shows a linear function. <br><br> Which equation represents the function.
mote1985 [20]

Answer:

\large\boxed{f(x)=\dfrac{3}{2}x-1}

Step-by-step explanation:

\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}

\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for  the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT

7 0
3 years ago
What is the degree of the polynomial 6x^2+x^9+5x^7+20x^6
Sever21 [200]

The degree of a polynomial is the highest exponent of the algebraic expression.

6 {x}^{2}  \:  +  \:   {x}^{ \boxed{ \bold{9}}}  \:  +  \: 5 {x}^{7}  \:  +  \: 20 {x}^{6}

<h2>R// <u>The degree of the polynomial is 9</u></h2>

<h3><em><u>MissSpanish</u></em></h3>
4 0
1 year ago
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