he hypotenuse of a right triangle measures 13 cm and one of its legs measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

hypotenuse =13cm

base=10cm

perpendicular =?

Step-by-step explanation:

by using Pythagoras law

hypotenuse=perpendicular²+base²

13²=perpendicular²+10²

perpendicular =(13²-10²)=69=8.3cm

the measure of the other leg is 8.3cm

Answer 2

The measure of the other leg is 8.3 cm .

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Formula of Pythagoras theorem :

(Hypotenuse)² = (Base)² + (Perpendicular)²

According to the question

Hypotenuse of a right triangle = 13 cm

Perpendicular of a right triangle = 10 cm

Now,

Base of a right triangle  

By using formula of Pythagoras theorem :

(Hypotenuse)² = (Base)² + (Perpendicular)²  

Substituting the values

(13)² = (Base)² + (10)²  

169 = (Base)² + 100

69 = (Base)²

Base = [tex]\sqrt{69}[/tex]

Base = 8.3 cm

Hence,  the measure of the other leg is 8.3 cm .

To know more about Pythagoras theorem here:

https://brainly.com/question/343682

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Related Questions

Please help this is timed

Large Sugar cubes measure 1/2 inch on each edge. They fit into a rectangular container that is 2 inches long, 1 1/2 inches wide and 1 1/2 inches tall.

The volume of each cube is _____.


____ sugar cubes will fit into the container.

Answers

Step-by-step explanation:

multiple 1/2 × 2 × 1 1/2

you can download Desmo calculator or write down what you multiple neatly on a piece of paper and use photo math

I need help solving this pls

Answers

Answer:

Adding them together. x = 3/2, y = 8

Step-by-step explanation:

Adding because we want to get rid of a variable. If we add, 2x + 6x = 8x, 1/2 * y + (-1/2 * y) = 0, and 7 + 5 = 12. Adding gets rid of the y variable.

By adding we get that 8x = 12 which gives us x = 12/8 = 3/2

Substituting this back into either equation will give us y = 8.

The sum of the digits of a two-digit number is 10. When the digits are reversed, the number decreases by 36. Find the original number

Answers

we have a 2-digit number where the sum of the digits is 10. If we then take the 2-digit number and subtract 36 we get the 2-digit number, reversed.

The 2-digit number can be represented as 10a + b. And we know a + b = 10. We also know that 10a + b - 36 = 10b + a. Arranging gives us 9a - 9b = 36. And then divide by 9 gives us a - b = 4. Now we have a + b = 10 and a - b = 4. Adding those together gives us 2a = 14 and then a = 7. Following that b is 3. This means that the 2 digit number we’re looking for is 73.

Activity
On the way home from visiting his family, Vincent's plane cruised at an altitude of 3.2 x 104 feet. He had heard that a man named Felix
Baumgartner skydived from an altitude of 1.28 x 10$ feet. Vincent wants to know how much higher Felix went on his skydiving trip.

write the cruising altitude of vincent’s plane in standard notation

Answers

Answer:

Vincent’s plane is cruising at an altitude of 3.2 × 10^4 feet.

Convert the number to standard notation.

3.2 × 10^4 feet  

=

3.2 • 10,000 feet

=

32,000 feet

Step-by-step explanation:

This is the sample answer from Edmentum.

Answer:

Question 1 part a =

Vincent’s plane is cruising at an altitude of 3.2 × 104 feet.

Convert the number to standard notation.

3.2 × 104 feet  

= 3.2 • 10,000 feet

= 32,000 feet

Part b =

Felix’s skydiving altitude is 1.28 × 105 feet.

Convert the number to standard notation.

1.28 × 105 feet  

= 1.28 • 100,000

= 128,000 feet

Part c =

Subtract the two altitudes to find the difference.

128,000 feet − 32,000 feet = 96,000 feet

The difference of their altitudes is 96,000 feet.

Part d =

The difference of the altitudes is 96,000 feet.

Covert 96,000 to scientific notation:

96,000 feet = 9.6 × 104 feet

Question 2 part a  =

Vincent’s plane’s altitude is 3.2 x 10^4 feet.

Felix’s skydiving altitude is 1.28 x 10^5 feet.

Transform 3.2 x 10^4  so its exponent matches the power of 10 in 1.28 x 10^5.

To do so, multiply and divide the number by 10.

3.2 x 10^4 = 10/10 x 3.2 x 10^4

                 = 3.2/10 x 10^4 x 10

                 = 0.32 x 10^5

Part b =

Calculate the difference of the two altitudes:

1.28 × 105 – 0.32 × 105

=  (1.28 – 0.32) • 105

= 0.96 • 105

The difference of their altitudes is 0.96 •105 feet.

Part c =

The difference of Vincent’s and Felix’s altitudes is 0.96 x 10^5 feet.

To convert the answer to scientific notation, multiply and divide the number by 10.

0.96 x 10^5 = 10/10 x 0.96 x 10^5

                   = (0.96 x 10) x (10^5 x 10^-1)

                   = 9.6 x 10^4 feet

In scientific notation, the difference of Vincent’s and Felix’s altitudes is 9.6 x 10^4 feet.

Question 3 =

The altitudes are the same. That means you can subtract numbers given in scientific notation using either of two methods: convert them to standard notation and then perform the subtraction, or subtract the numbers in scientific notation without converting them to standard notation.

Step-by-step explanation:

Your answer is in bold. All edmentum answers :)

Hope this helps someone!

12) help pls I have the answer I just need to show the work

Which expression is correct for “y”?

Answer: A

Answers

Answer:

y = tan-1 (31/23)

Formula: SOHCAHTOA

TOA: tan = opposite/adjacent

31 / 23 = 1.3478

tan-1 of 1.3478 is 53.4264

53.4264 = 53 (rounding to the nearest degree)

y = 53 degrees

Perform the operation

(10^2-x+1)-(9x-2)

Answers

Answer:

-9x^2+911x-202

Step-by-step explanation:

You will need to multiply each term in the parenthesis with each term in the other parenthesis.

Daisy can clean a house in 9 hours. When she works together with her sister Bella, it takes them 5 hours. Let x represent how long it takes Bella to clean the
house by herself.
Set up an equation to represent the situation. Do not solve.

Answers

Answer:

×= 5hrs

Step-by-step explanation:

Daisy 9 hrs

Bella my son 5hrs

Find the edge of a cube whose volume is equal to the volume of a cuboid with dimensions 36 cm × 75 cm × 80 cm.

Answers

Given:

Dimensions of a cuboid = 36 cm × 75 cm × 80 cm.

To find:

The edge of a cube whose volume is equal to the volume of the given cuboid.

Solution:

We know that the volume of a cuboid is

[tex]Volume=length\times breadth \times height[/tex]

[tex]V_1=36\times 75 \times 80[/tex]

[tex]V_1=216000[/tex]

The volume of a cube is

[tex]Volume=a^3[/tex]

Where, a is the side length of the cube.

The volume of cube and cuboid are equal. So,

[tex]a^3=216000[/tex]

[tex]a=\sqrt[3]{216000}[/tex]

[tex]a=60[/tex]

Therefore, the measure of edge of the cube is 60 cm.

he cost of 7 toys is AED 294. Find the cost of 5 toys. (Unitary method)

Answers

First we divide 294/7 = 42 then we got the price of 1 toy. We multiply it by 5. 5x42= 210 is the answer

PLEASE ANSWER ASAP I AM GIVING 30 POINTS!!!
just answer which ones it is.

Answers

so either a and d or a and c :)

On a flight from San Diego to Baltimore 18 of 156 seats on empty. What is the ratio of filled seats to empty seats on the flight

Answers

Answer:

Step-by-step explanation:

Please could someone help me with this

Answers

a) 19

v = 5 + 7 x 2
v = 5 + 14
v = 19
———————
b) 8

35 = u + 9 x 3
35 = u + 27
8 = u

Please help! Photo is linked! Help asap! Extra points!

Answers

Answer:

c and d

Step-by-step explanation:

Express in simplest form with a rational denominator.
4 over 28

Answers

Answer:

Explained in detail below

Step-by-step explanation:

4/28 = 1/7 = 1:7

It’s written as 4/28 then you write it as 1/7 or 1:7, you know it’s fully simplified because both numbers are prime

Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:

Answers

Answer:

y - intercept = -5/2

x-intercept = -2

Step-by-step explanation:

-5x - 4y = 10

At y-intercept , x = 0

0 - 4y = 10

       y = 10/-4

       y = -5/2

At x-intercept, y = 0

   -5x  - 0 = 10

           -5x = 10

              x = 10/-5

               x = -2

Y-intercept =(-2,0)

X-intercept =(0,- 5/2 )

PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!

Answers

Answer:

120

Step-by-step explanation:

First we can find the value of each exterior angle

The sum  of the exterior angles is 360

because a hexagon has 6 congruent exterior angles we divide 360 by 6

360/6=60 so each exterior angle is equal to 60 degrees

the exterior angle and interior angles of any regular polygon are supplementary angles ( meaning the sum of the two is 180) so to calculate the interior angle we subtract 60 from 180

180-60=120 so each measure of the interior angle of a hexagon is 120 degrees

What symbol makes the statement true?
4/6 3/8​

Answers

4/6 is 0.666666666666667
3/8 is 0.375
So 4/6>3/8

Answer:

>

Step-by-step explanation:

because

16/24 > 9/24 :)

Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7

Answers

Answer:

(x - √7*√x) / (x - 7)

Step-by-step explanation:

I suppose your expression is √x / (√x + √7)

(√x * (√x - √7)) / ((√x + √7) * √x - √7)) = (√x * √x - √7 * √x) / (x - 7)

= (x - √7*√x) / (x - 7)

Answer:

Its A

Step-by-step explanation:

I just took the test on edge

Please help, it would be very much appreciated

Answers

Answer:

153.86 units squared.

Step-by-step explanation:

given

diameter (d) = 14

radius (r) = 14/ 2 = 7

Area of the circle

= πr²

= 3.14 * 7²

= 3.14 * 49

= 153.86 units squared

Hope it will help :)❤

Since the area of a circle is pie x radius squared the answer will be 3.14 x 7*2. Which will equal to 153.86

plz help me with this math question

Answers

Answer:

8^2-60 ,   11^1   , 2^2x5

Step-by-step explanation:

2^2= 4

4 x 5 = 20

11^1= 11

8^2= 64

64-60 = 4

There are 101 Year 13 pupils in a tennis club, out of a total of 146 pupils. Write this proportion as a percentage. Give your answer correct to 1 decimal place when appropriate.

Answers

Answer: 69.2%

Step-by-step explanation:

There are 101 Year 13 students out of a total number of 146 pupils.

To find this as a percentage, divide the total number of students by the year 13 students and then multiply by 100%:

= Year 13 students/ Total students * 100%

= 101 / 146 * 100%

= 0.692 * 100%

= 69.2%


PLZZ HELP AND EXPLAIN IF POSSIBLE

Answers

Answer:

456 ft.sq

Step-by-step explanation:

Here's your solution

=> Divide the whole figure in two parts

First part is trapezium

Second part is square

=> Area of trapezium = 1/2*sum of parrel sides*distance between them

=> Area of trap. = 1/2*( 24 + 11) *24

=> Area = 1/2*35*24

= > Area = 35*12. =. 420 ft.sa

=> Area of square = side*side

=> Area = 6*6

=> Area = 36 ft.sq

=> Total area of figure = 420 + 36

456 ft.sq

Mirasha collected coins. At the end of the week, she had 89 coins in total. She started off with 23 at the beginning of the week. If she got a equal amount of coins each day of the week, not counting the first day, how many coins did she get each day?

Answers

Answer:

11 coins each day, not counting the first day

Step-by-step explanation:

89 - 23 = 66

66/6 = 11 coins per day

PLZZZZ give me brainliest!

Answer:

LOLLLLLLLLLLLLLLLLLLLLLL

please help
find the value of x in the isosceles triangle shown below.

Answers

Square root of 55 :):)

Answer:

x = square root of 55

x^2 = 8^2 - 3^2

x^2= 64 -9

x = square root of 55

The total cost of a tablet device comprises the cost of material, labour and overheads in the ratio 3:4:1. The cost of material is $315. What is the total cost of the tablet?​

Answers

Answer:

The total cost of the tablet is $840

Step-by-step explanation:

Here, we want to calculate the total cost

Let the total cost be $x

From the ratio, the total ratio is 3 + 4 + 1 = 8

so,;

3/8 * x = 315

3x = 8 * 315

x = 8/3 * 315

x = 8 * 103

x = 840

How many Square feet of outdoor carpet will we need for this hole? plzz helpp!

Answers

Answer: I would say 4 square feet

Step-by-step explanation:

Pls give brainliest

Please help you guys, Look at the picture attached

Answers

Answer:

Step-by-step explanation:

if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3

5.

x=(-2+4+10)/3=4

y=(6+0+6)/3=4

centroid=(4,4)

6.

x=(3+5-2)/3=2

y=(3-1+1)/3=1

centroid=(2,1)

which is faster 1m/s or 1km/h​

Answers

Answer:

The answer is 1m/s

Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and enter your answer as a decimal.

Answers

Answer:

41.67πunits³

Step-by-step explanation:

Since we are not asked what to find, we can as well  look for the volume of the cone.

Find the diagram of the cone attached

Volume of the cone = 1/3πr²h

h is the height of the cone

r is the radius of the cone

Volume of the cone = 1/3π(5)²(5)

Volume of the cone= 1/3π(125)

Volume of the cone = 125π/3

Volume of the cone = 41.67πunits³

plz fast I need it
plz plz plz

Answers

Answer:

PQ = 1/2BC

Step-by-step explanation:

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