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3 years ago

We have a right triangle that has am 8 meter and 21 meter leg .Find the hypotenuse

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

Answer:

hypotenuse is 22.47 m

Step-by-step explanation:

The length of both legs of a right angle triangle are 8m and 21 m

We need to find the hypotenuse

To find hypotenuse we use Pythagorean theorem

Hypotenuse is AC and other two legs are AB and BC

$AC^2 = AB^2 + BC^2$

Hypotenuse ^2 = 8^2 + 21^2

hypotenuse = $\sqrt{8^2 + 21^2}$

= $\sqrt{64 + 441}$

= $\sqrt{505}$

= 22.47

So the length of the hypotenuse is 22.47 m

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Contains the point (-1, 2) and is parallel to<br> x – 2y = -3

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = $\frac{1}{2}$ x + $\frac{3}{2}$ ← in slope- intercept form

with m = $\frac{1}{2}$

• Parallel lines have equal slopes, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - $\frac{1}{2}$ + c ⇒ c = 2 + $\frac{1}{2}$ = $\frac{5}{2}$

y = $\frac{1}{2}$ x + $\frac{5}{2}$ ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0

4 years ago

What is the value of x in the equation 2.5(6x-4) = 10+4(1.5+0.5x)?

Phoenix [80]

Answer:

Step-by-step explanation:

As the equation is given in the question as follows.

2.5(6x-4)=10+4(1.5+0.5x)

open the bracket

2.5 × 6x - 2.5 × 4 = 10 + 4 × 1.5 + 4 ×0.5x

15x - 10 = 10 + 6 + 2x

15x - 2x = 16 + 10

13x = 26

x = 2

6 0

3 years ago

bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp

SashulF [63]

Answer:

The least number of stamps required is $9$

Step-by-step explanation:

Let the number of $3$ cent stamps be $x$ and $4$ cent stamps be $y$

We have

$3x+4y=33$

The minimum number is obtained when more $4$ cent stamps are used

Here $y$ cannot be greater than $8$ since $\frac{33}{4}$

Substitute $y=8$

$3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}$

Not possible since $x$ is not a fraction

Substitute $y=7$

$3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}$

Not possible since $x$ is not a fraction

Substitute $y=6$

$3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3$

Possible

Hence minimum number of stamps is

$=x+y\\\\=3+6\\\\=9$

5 0

3 years ago

Kai took five tests this semester. His scores are listed below.

Travka [436]

Answer:

3.2 is the answer. Your welcome

3 0

3 years ago

Question 2

BabaBlast [244]

The correct answer is choice d because you would divide x by 2 to get 70. then you do the same with y so 35/2 = 17.5

7 0

3 years ago