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almond37 [142]
3 years ago
7

The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the n

earest hundredth of a foot.
Mathematics
1 answer:
Gemiola [76]3 years ago
8 0
Here is a diagram explaining the information

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Determine the slope (9,2) and (3,-8)
Oxana [17]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 9 &,& 2~) 
%  (c,d)
&&(~ 3 &,& -8~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-8-2}{3-9}\implies \cfrac{-10}{-6}\implies \cfrac{5}{3}
7 0
3 years ago
A local video store has two new renting plans. Plan A charges a $10 monthly fee and $2 for every movie rented. Plan B charges $4
Margaret [11]

Answer:

18 or 17

Step-by-step explanation:

Plan a= 2x + 10

plan b=  .25x + 40

2x + 10 = .25 + 40

       1.75x=30

x=17.14

5 0
2 years ago
Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 8 feet
Rufina [12.5K]

Please check the attached file for the diagram of Sally's yard.

Let w be the width of the yard.

Let l be the length.

We are given that the length of the yard is 8 feet more than 4 times the width. Let us convert this into a mathematical equation.

4 times the width will be 4w. Now, 8 feet, or 8 more than 4 times the width will be 4w+8. We know that this is the value of the length of the yard and thus we can write this as:

l=4w+8

As we can see we have found the relationship between the length, l and the width, w of the yard.

We have been told that the total length of the fence required for the yard is 106 feet. This obviously means that the perimeter of the rectangular yard is 106 feet.

Now, we know that the perimeter of a rectangle is given by:

Perimeter=2(l+w)=2((4w+8)+w) this is because we know that the length, l is given by l=4w+8.

Continuing further we get:

106=8w+16+2w=10w+16 This is because Perimeter=length of the fence=106 (given)

Therefore, 10w=90

or, w=9 so, we just now found the width of the yard which is 9 feet. We are required to find the length. We can easily find the length using the relationship between w and l which is:

l=4w+8 giving us:

l=4\times9+8=44

Thus the length of the fence is 44 feet.

5 0
3 years ago
An isosceles triangle has an angle that measures 130°. Which other angles could be in that isosceles triangle? Choose all that a
muminat
25 degrees for the other two angles
6 0
3 years ago
Ms. Pacheco, Mr. Edwards, and Mr. Richards are three math teachers at Turner Middle School. Ms. Pacheco is three years older tha
mina [271]
Ms. Pacheco = P
Mr. Richards = R
Mr. Edwards = E
P = R + 3
E = 2R
R + E = 81
81 = R + 2R
81 = 3R
81 ÷ 3 = R
R = 27
P = R + 3
P = 27 + 3
P = 30
E = 2R
E = 2×27
E = 54
7 0
3 years ago
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