One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

3.9 cm

Step-by-step explanation:

One of the legs of a right triangle measures 1 cm and its hypotenuse measures 4 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

We can solve the above question using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

From the above question

Hypotenuse = 4 cm

1 leg = Opposite = 1 cm

Other leg = Adjacent = x

Hence

4² = 1 ² + x²

x² = 4² - 1²

x = √ 16 - 1

x = √15

x = 3.8729833462 cm

Approximately to the nearest tenth = 3.9 cm

The measure of the other leg is 3.9 cm


Related Questions

Do the following setm of lengths form a right triangle 36,77, 85

Answers

Answer:

They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.

longest side = 85 and 85² = 7225

36² + 77² = 1296 + 5929 = 7225

Thus the 3 sides form a right triangle

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold

What fraction of the players sold between 8 and 16 popcorn tins?

Answers

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

What is the fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

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What is the median of the data set shown: 18,21,22,24,28,30,31,32,36,37

Answers

29
Step 1: Add the two middle numbers (28+30)
Step 2: Divide the sum by 2 (58/2=29)

Answer: 27.9

Step-by-step explanation:

Add all the numbers together and divide it by how many number there is so

all the numbers added together is 279

there are 10 numbers there so you divide 279 by 10 and it gives you 27.9

what % of 25 = 5
Please hurry​

Answers

5 is what percent of 25? = 20

A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?

Answers

Answer:

On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?

Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.

Step-by-step explanation:

x - y = 4
y - 8 = -2
At which point do the graphs of the given equations intersect each other?

Answers

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Please help!!!!

Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021

Answers

Answer:

well played ahajkdjajkskdjdhdjskkskfjsiiskfks

Find a polynomial function that has the given zeros. (There are many correct answers.)
−4, 6

Answers

If polynomial function vanishes at

x

=

a

, then

(

x

a

)

must be one of its factors.

Thus

(

x

7

)

,

(

x

4

6

)

and

(

x

4

+

6

)

are factors of the required polynomial.

The simplest polynomial that satisfies this is

(

x

7

)

(

x

4

6

)

(

x

4

+

6

)

=

(

x

7

)

{

(

x

4

)

6

}

{

(

x

4

)

+

6

}

=

(

x

7

)

{

(

x

4

)

2

6

}

=

(

x

7

)

(

x

2

8

x

+

16

6

)

=

(

x

7

)

(

x

2

8

x

+

10

)

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

What is the greatest common factor of 20w and 45wt
A. W
B. T
C. 5w
D. 45

Answers

Answer:

c

Step-by-step explanation:

20w=4w*5w

45WT=5WT*9WT

James made 8 pancakes that are all approximately 4 inches in diameter, and 0.5 inches tall. He stacks all of the pancakes on top of each other. What is the total approximate volume of the stack of pancakes rounded to the nearest cubic inch?

A. 16 cubic inches
B. 50 cubic inches
C. 100 cubic inches
D. 201 cubic inches​

Answers

Answer:

The answer is A:16

Step-by-step explanation:

8+4+0.5=16 I think so

Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be​

Answers

Answer:

[tex]\Huge\boxed{11.9}[/tex]

Step-by-step explanation:

Hello There!

Basic Concepts

Geometry

Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)

Here are the trigonometric ratios

Sine - Opposite over Hypotenuse

Cosine - Adjacent over Hypotenuse

Tangent - Opposite over Adjacent

For the angle that has a measure of 50 degrees

we are given its adjacent side length and we need to find its opposite

When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent

Knowing which trigonometric ratio we are going to use we have to create an equation

Remember tan = opposite over adjacent

So we plug in the given information and solve for the missing information ( In this case the opposite side length)

[tex]tan(50)=\frac{x}{10}[/tex]

Basic Algebra

Now we solve for x

Like always we want to isolate the variable

First we want to get rid of the 10

x is being divided by 10 and the inverse of division is multiplication

So we multiply each side by 10

[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]

now we have

[tex]10tan50=x\\[/tex]

finally we plug in 10tan50 into a calculator to get the value of x

we get that x = 11.91753594

Our last step is to round to the nearest tenth

We can conclude that the answer is 11.9

The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.

What is tangent of an angle?

Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.

Let, the bridge is x ft. long.

Therefore, tan 50° = [tex]\frac{x}{10}[/tex].

⇒ x = 10 × tan 50°

⇒ x = 10 × 1.192

⇒ x = 11.92

Therefore, the bridge is 11.92 ft. long.

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if PQ and PR are tangent to circle S,find PQ

Answers

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

What is tangent?

"A line that touches the circle at a single point is known as a tangent to a circle."

What is circle?

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

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A milky way candy bar has a height of 2.4 cm, a width of 3 cm, and is 6 cm long.
What is the volume of the candy bar?

Answers

Answer:

V=lbh=2.4×3×6=43.2cm^3

GIVEN

We are given a candy batband we are given its dimensions

height = 2.4cmwidth= 3cmlength= 6cm

TO FIND

We need to find it's volume

Volume of a cuboid is given by l×b×h

SOLUTION

Volume = length × breadth × height

Volume = 2.4 × 3 ×6

Volume = 43.2 cm^3

What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

x = 65°

Step-by-step explanation:

these are vertical angles, which are congruent

145 = 2x + 15

130 = 2x

65 = x

find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees

Answers

80.5 that’s the answer yep yep

What type of graph is this

Answers

Answer:

Its a graph to find out the median. Or can be called a box plot

Step-by-step explanation:

2. 3. Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles. a. Estimate how many miles he bikes in one day.

Answers

Answer:

Step-by-step explanation:

Estimate usually means "Don't use a calculator." An estimate would be 30 days and 390 miles. That makes 13 miles / day. I get the feeling that is not what is wanted.

miles / day = total distance / number of days

miles / day = 389.2 / 28

miles / day = 13.9 miles per day.  I don't know which answer to use. I'd try this one first and then use the top one.

389/ 28 = 13.89
Round to 14 miles per day

i need help with this question

Answers

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

Can some help me with this problem

Answers

answer:

140000

step-by-step explanation:

you multiply 1.40*10^5

which equals 140000

good luck :)

i hope this helps

have a nice day !!

Answer:

140000

Step-by-step explanation:

to write this in regular notation, you move the decimal 5 places to the right (or just multiply 1.4 x 10^5)

Total surface area??

Answers

Answer:

total area = 207 cm²

Step-by-step explanation:

base area = 9 x 9 = 81

side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126

81 + 126 = 207 cm²

Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?

Answers

Answer: $108
Explanation: 7x6 = $42 + 11x6 = $66
It would be 4 sides not 2.
7+7 = 14
11+11 = 22
14 x 6 = 84
22 x 6 = 132
132 + 84 = 216
The trim costs $216

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

Someone pls help im new tysm if you do!

Answers

Answer:

-24 is your answer<3.....

the parenthess are just multiplication, so 6*-4 is -24

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

The area of a rectangle is x2 - 6x – 27 and the length is
X - 9. What is the width?

Answers

Width is x - 3

A
=
x
2
+
6
x

27
=
(
x
+
9
)
(
x

3
)

the width is x - 3

~iwa-chan

what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((

Answers

Answer:

Deny. Deny. Deny.

Step-by-step explanation:

Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3

Plssssss help I need an answer

Answers

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

Factor completely
16x^2y^4z^3+33xy^8z^5​

Answers

Answer:

xy^4 z^3 ( 16x + 33y^4 z^2)

Step-by-step explanation:

step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out

next y same thing and then last z

with x = left side you x^2 and right side you have x = so u can take x out once left you with x

with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4

with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2

1÷1+cosa+1÷1_cos a please solve question​

Answers

ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST

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