All categories

3 years ago

The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?

Mathematics

2 answers:

Mama L [17]3 years ago

6 0

Answer:

hypotenuse = 5 inches

Step-by-step explanation:

Hypotenuse, by the Pythagoras theorem, is the square-root of the sum of the square of the two short sides.

Hypotenuse

= sqrt(3²+4²)

=sqrt(9+16)

=sqrt(25)

=sqrt(5²)

disa [49]3 years ago

3 0

Answer:

The length of the hypotenuse is 5 inches.

Step-by-step explanation:

The formula for finding the hypotenuse is $a^{2} + b^{2} = c^{2}$ ,

with a and be being the two shorter sides of the triangle, while c is the hypotenuse.

Let's plug in our values for a and b and solve.

$4^{2} + 3^{2} = c^{2}$

16 + 9 = $c^{2}$

25 = $c^{2}$

What is the square root of 25? 5.

The length of the hypotenuse is 5 inches.

You might be interested in

Carli wants to put some prints that are 4 1/2 inches wide side by side on a wall that is 26 1/4 wife. How many prints can she pl

LenKa [72]

She can fit 6 on her wall.

4 0

3 years ago

The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

wariber [46]

Answer:

Option A. $x=10\ in$

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

$(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0$

using a graphing tool to solve the quadratic equation

The solution is $x=10\ in$

see the attached figure

5 0

3 years ago

A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the

laila [671]

We have been given that a 208-yard-long road is divided into 16 parts of equal length.

Let us find length of each part.

$\text{Length of each part}=\frac{208}{16}$

$\text{Length of each part}=13$

Length of each part will be 13 yards.

We are told that Mr. Ward paints a 4-yard-long strip in each part.

Now we will subtract length of painted strip from length of each equal part to find length of unpainted strip of each part of the road.

$\text{Length of unpainted strip}=13-4$

$\text{Length of unpainted strip}=9$

Therefore, length of each unpainted strip will be 9 yards.

5 0

3 years ago

The 8th and 20th terms of an arithmetic sequence are 20 and 56 respectively. What is the 1st term of the sequence.

Ostrovityanka [42]

Answer:

Step-by-step explanation:

$a_n=a_1+d(n-1)\\\\a_8=a_1+d\cdot7\\\\a_{20}=a_1+d\cdot19\\\\a_{20}-a_8=a_1+19d-(a_1+7d)=12d\\\\56-20=2d\\\\12d=36\\\\d=3\\\\\\ a_1+3\cdot7=20\\\\a_1=20-21=-1$

6 0

3 years ago

A watermelon seed is 0.4cm long. How far would a line of 126 stretch?

nikdorinn [45]

Answer:

0.504m

Step-by-step explanation:

First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.

0.4*126

= 50.4cm

Therefore, the line of watermelon seeds stretches 50.4cm.

Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.

50.4/100

= 0.504m

Therefore, the line of watermelon seeds stretches 0.504m.

I hope this helps!

6 0

2 years ago

The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?​

The two short sides of a triangle are 3 and 4 inches. what is the length of the hypotenuse,in inches?