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2 years ago

Please give me a real answer no links or files.

Mathematics

1 answer:

Natali [406]2 years ago

6 0

Answer:

14 ft

Step-by-step explanation:

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What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0

3 years ago

1. take away five from twelve times f. 2. one-half of the sum of k and six 3.x squared minus the sum of 5 4.the sum of the produ

77julia77 [94]

The expressions formed are,

12f -5
(k+6)/2
x²-x+5
ab+3c
24xy+g

Formation of expressions in 1, 2 and 3:

In 1, twelve times f is, 12f

Taking away 5, it becomes (12f-5)

In 2, sum of k and 6 is, (k+6)

One-half of the above quantity is, (k+6)/2

In 3, sum of 5 with x is, (x+5)

Now, x squared minus the above expression indicates (x²-x+5)

Formation of expressions in 4 and 5:

In 4, product of a and b, is ab and 3 times c is 3c

Sum of the expressions evaluated in the previous statement = ab+3c

In 5, 24 times the product of x and y is, 24xy

Adding, g in the above computed expression, we get, 24xy+g

Learn more about expressions here:

brainly.com/question/17167810

#SPJ4

3 0

2 years ago

Ms. Parker baked 6 dozen cookies. She gave 2 dozen cookies to her sister, 1 À dozen

Lyrx [107]

Answer:

Step-by-step explanation:

She gave out three dozen and she had six dozen so she has three dozen left three dozen 3 * 12 she has 36 cookies

6 0

3 years ago

I turn my dial on my stove 45degrees from the start position if i continue to turn the dial, how many degrees further will i nww

AveGali [126]

Answer:

315 degrees

Step-by-step explanation:

Assume that the dial is a perfect circle and therefore makes a full 360 degree rotation. If the dial is already turned 45 degrees, the rotation angle required to return all the way to the initial position is:

$A = 360 - 45\\A=315\ degrees$

You will need to rotate 315 degrees.

6 0

3 years ago

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

Natasha_Volkova [10]

Answer:

P(2)=0 then x-2 is a factor of P(x)

Step-by-step explanation:

To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.

2(2)^3-3(2)^2-17(2)+30

2(8)-3(4)-34+30

16-12-34+30

4-34+30

-30+30

Since P(2)=0 then x-2 is a factor

8 0

3 years ago