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VARVARA [1.3K]
3 years ago
12

Sid lives 3 miles north and 8 miles west of school. What is the direct distance from Sid's house to school? ≈ 11 miles ≈ 5 miles

≈ 36.5 miles ≈ 8.5 miles
Mathematics
2 answers:
Fudgin [204]3 years ago
5 0

Answer: 8.5 Miles


Pythagorean Theorem

a^{2}+b^{2}=c^{2}


andre [41]3 years ago
3 0

Answer:

The direct distance from Sid´s house to school is 8.5 miles.

Step-by-step explanation:

In this case we have to use a geometric law the law of Pythagoras, this could give calculate us the hypotenuse of a triangule having to known sides, this is:

a^{2} +b^{2} =c^{2}

Now we can replace the side a=3 miles and b=8 miles, this is:

3^{2} +8^{2} =c^{2}

Having this we can clear the c, and have the answer:

c=\sqrt{9+64} \\c=\sqrt{73} \\c=8.5

So the direct distance from Sid´s house to school is 8.5 miles.

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polygon A i simllar to polgon B. find the perimeer of polygon B if one side of polygon A is 24 A sde to polygon B is 15 and the
Gemiola [76]

Answer:

Perimeter of polygon B = 80 units

Step-by-step explanation:

Since both polygons are similar, their corresponding sides and perimeters are proportional. Knowing this we can setup a proportion to find the perimeter of polygon B.

\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}

Let x be the perimeter of polygon B. We know from our problem that the side of polygon A is 24, the side of polygon B is 15, and the perimeter of polygon A is 128.

Let's replace those value sin our proportion and solve for x:

\frac{side-polygonA}{side-polygonB} =\frac{perimeter-polygonA}{perimeter-polygonB}

\frac{24}{15} =\frac{128}{x}

x=\frac{128*15}{24}

x=\frac{1920}{24}

x=80

We can conclude that the perimeter of polygon B is 80 units.

8 0
3 years ago
The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is
emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh    where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

  h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8]             (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation.  Solve using factoring...

(1/4)b² + 4b - 48 = 0       (subtract 48 from both sides)

b² + 16b - 192  =  0       (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0       (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0          

    b = -24    

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

  b = 8        

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

 

   h = (1/2)(8) + 8

     h = 4 + 8

 

         h = 12

8 0
4 years ago
What is it mean? <br> a. 27.19 <br> b. 27.29 <br> c. 28.10 <br> d. 28.11
Len [333]
Mean is average so you sum up all 4 numbers and divide by 4. Answer is 27.6725 or rounded 27.67

Have a nice day. Hope this helps.
3 0
2 years ago
How to solve the equation <br> 3/7 *49=x
rjkz [21]

Answer:

x=21

Step-by-step explanation:

well, geez - just do the math!

3/7 * 49 = 21

8 0
3 years ago
a rhombus can be cut in half by a diagonal to make two isosceles triangle correct or incorrect if incorrect give an example to s
Nataly [62]
The definition of a rhombus is that it's a polygon with four congruent sides. If you split one into two pieces with a diagonal, then yes, it will be two isosceles triangles because two sides are congruent.
7 0
3 years ago
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