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NISA [10]
2 years ago
13

the hypotenuse of a triangle is one foot more than twice the length of the shorter legal. the longer leg is seven feet longer th

an the shorter leg. find the dimensions of the triangle
Mathematics
2 answers:
wolverine [178]2 years ago
6 0
8, 15, 17

You can do this by using the Pythagorean Theorem and setting the sides equal to

shorter leg = x
longer leg = x + 7
hypotenuse = 2x + 1

Then solve so that one side is equal to zero and use the quadratic formula.
Rus_ich [418]2 years ago
3 0

Answer:

<h2>The dimensions of the right triangle are 8, 15 and 17.</h2>

Step-by-step explanation:

First, we need to express the problem in equations. We will use the pythagorean theorem because we have a right triangle.

The longer side we're gonna call it l.

The shorter side will be s

The hypothenuse will be h

Now, the problem is giving us relations.

<h3>"The hypothenuse is one foot more than twice the length of the shorter leg"</h3>

This can be expressed like h=1+2s

<h3>"The longer leg is seven feet longer than the shorter leg"</h3>

This can be expressed like l=7+s

Now, applying the pythagorean theorem, we have:

h^{2}=s^{2}+l^{2}\\(1+2s)^{2}= s^{2}+(7+s)^{2}\\1+4s+4s^{2}= s^{2}+49+14s+s^{2}\\ 2s^{2}-10s-48=0\\s^{2}-5s-24=0\\(s-8)(s+3)=0\\s=8\\s=-3

From these values, we use the positive one, because it refers to length. Replacing this value in each expression, we find each element of the triangle:

h=1+2s=1+2(8)=17

l=7+s=15

Therefore, the dimensions of the right triangle are 8, 15 and 17.

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G(x) =3x-1 find g(-4)
ira [324]
First plug in -4 for g to get 3(-4)-1. 3(-4) equals -12, and -12-1 equals -13.
6 0
2 years ago
Divide 645 by 3 to get your answer
likoan [24]

Answer:

645/3 = 215

Step-by-step explanation:

You can use long division to find the answer.

6 0
3 years ago
For large parties at a seafood restaurant, a tip of 18% is automatically included on the bill. Jerome’s family went out for his
Marina86 [1]

Answer:

tip=48.28  

total cost =316.49

Step-by-step explanation:

tip = 48.28

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6 0
2 years ago
The figure below shows a shaded rectangular region inside a large rectangle: (pic)
mariarad [96]

Answer:

D


Step-by-step explanation:

Probability of falling NOT in the shaded region is "area of white region" <em>divided by</em> "area of whole rectangle (big one)".


<u>Area of whole rectangle:</u>

Area of rectangle = length * width = 10 * 5 = 50


<u>Area of White Region:</u>

First, area of shaded region = length * width = 4 * 2 = 8

Now,

Area of white region = area of whole rectangle - area of shaded rectangle

Area of white region = 50 - 8 = 42


Hence, probability is \frac{42}{50}=0.84

0.84 = 84%

Answer choice D is right.





8 0
3 years ago
Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).
svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find WZ and WX:

WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }

WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.

Learn more about slopes on:

brainly.com/question/3493733

5 0
2 years ago
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