What is the median of the data

The longer leg of a right triangle is 3 inches more than the length of the shorter leg tripled. the hypotenuse is 3 inches less

lukranit [14]

We have this equation.
A²+B²=C²
We have bits of information that'll help us simplify the equation so there's only one variable.
The longer leg, A, is 3 inches more than the length of the shorter leg, B, tripled.
A=3B+3
Let's plug that in.
(3b+3)²+B²=C²
The hypotenuse, C, is 3 inches less than four times the length of the shorter leg. C=4B-3
Let's plug that in.
(3b+3)²+B²=(4B-3)²
Let's solve.
9B²+18B+9+B²=16B²-24B+9
10B²+18B+9=16b²-24b+9
Let's subtract 9 from both sides.
10b²+18b=16b²-24b
Let's subtract 10b² from both sides.
18b=6b²-24b
Let's add 24b from both sides.
42b=6b²
Let's divide each side by 6.
7b=b²
With this, you can tell that b is 7 since it times 7 equal itself squared.
The shorter leg is 7 inches.
Now, let's look back at the bits of information.
The longer leg of a right triangle is 3 inches more than the length of the shorter side tripled.
3(7)+3=24
So, the longer side is 24. We can either use the other information or plug it into the equation. We can do both.
The hypotenuse is 3 less than four times the shorter leg.
4(7)-3=25
7²+24²=
49+576=625
√625=25
So, the length of the hypotenuse is 25 inches.

4 0

3 years ago

Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees

steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

As we know that , Diameter is biggest chord which passes through center of circle,

Hence it divides the circle into two equal parts and making center as midpoint of it .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so arc DB=160 degree or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0

3 years ago

A space shuttle is made

zaharov [31]

Answer:

The actual space shuttle is 66 feet tall

Step-by-step explanation:

scale of 1 inch : 12 feet represent the scale of a space shuttle.

It means it has a representation of 1 inch on paper then actual = 12 feet.

But then if the paper(model) changes to 5.5 inches. The actual representation on land will be

Let me write out the equation

1 inch = 12 feet

5.5 inch =( 5.5 inch *12 feet)/1 inch

5.5 Inch= 5.5 * 12 feet

5.5 inch = 66 feet

8 0

3 years ago

Use the function table to determine the slope.EXPLAIN YOUR THINKING AND HOW YOU GOT YOUR ANSWER.I WILL MARK YOU BRAINLIST!

Tom [10]

Answer:

3¼

Step-by-step explanation:

$formula \frac{{y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} }$

We take any of the two points shown in the question. I will take (-3, 1) and (1, 14).

x¹ = -3

y¹ = 1

x² = 1

y² = 14

Now, we sub these figures into the formula.

$\frac{14 - 1}{1 - ( - 3)}$

This leaves us with 14-1/1+3, which we can make into 13/4

13/4 = 3¼

Disclaimer: It is not actually x (or y) in the power of two, but a way to distinguish one x (or y) from the other. It is a label of sorts.

3 0

3 years ago

Read 2 more answers

A dog sled race is 25 miles long.The equation 5/8 k=25 can be used to estimate the race’s length k in kilometers. Approximately

EastWind [94]

The distance to be covered in the race is 25 miles
average speed of the team is 30 km/h
30 km/m in miles/hour will be:
1 mile=0.621371 km
thus
30 km/h=(30×0.621371) miles/hour
=18.64113 miles/hour
time taken to complete 25 miles will be:
time=distance/speed
=25/18.64113
=1.3411 hours

4 0

3 years ago