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Alexxandr [17]
2 years ago
12

Draw and label all three side lengths and angle measures of a right triangle that has a 40° angle and a hypotenuse 10 cm long.

Mathematics
1 answer:
Elodia [21]2 years ago
4 0

Answer:

Right Triangles and the Pythagorean Theorem

1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

2.The side opposite the right angle is called the hypotenuse (side c in the figure).

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A suitcase measures 24 inches long and the dialogue is 30 inches long. How much material is needed to cover one side of the suit
borishaifa [10]

Answer:

432 in.^2

Step-by-step explanation:

The side of the suitcase is a rectangle. One length is 24 inches. The diagonal of the rectangle is 30 inches long. The diagonal is a hypotenuse of a right triangle. The length is a leg. We need to find the other leg.

We use the Pythagorean theorem,

a^2 + b^2 = c^2

(24 in.)^2 + b^2 = (30 in.)^2

576 in.^2 + b^2 = 900 in.^2

b^2 = 324 in.^2

b = sqrt(324 in^2)

b = 18 in

area of rectangle = length * width

A = 24 in. * 18 in.

A = 432 in.^2

6 0
3 years ago
Solve. x 2 −5x−8=0 x2−5x−8=0 Enter your answers, as exact values, in the boxes. x = or x =
Sidana [21]

Answer:

x2-5x-8=0  

Step-by-step explanation:

Two solutions were found :

x =(5-√57)/2=-1.275

x =(5+√57)/2= 6.275

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-5x-8  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -5 .

    -8 + 1 = -7  

    -4+  2 = -2  

    -2+  4 = 2  

    -1 +   8 = 7  

5 0
3 years ago
Read 2 more answers
Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,
Rus_ich [418]

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

8 0
3 years ago
3) Monica is listening to Spotify. She noticed that during one hour, 15 songs were played and 3 of them were country. What is th
Blababa [14]

Answer:

D. 1/5

Step-by-step explanation:

The ratio would be 3/15 and when it's reduced it is 1/5

I hope this helps

8 0
2 years ago
Factor the following expression.<br> x squared plus 14 x plus 48x2+14x+48
ASHA 777 [7]
Are you sure this is written correctly. It is not factorable as it is
5 0
2 years ago
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