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
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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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.
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
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
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
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
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)
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.
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.
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)
PLEASE ANSWER ASAP I AM GIVING 30 POINTS!!!
just answer which ones it is.
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
Answer:
Step-by-step explanation:
Please could someone help me with this
Please help! Photo is linked! Help asap! Extra points!
Answer:
c and d
Step-by-step explanation:
Express in simplest form with a rational denominator.
4 over 28
Answer:
Explained in detail below
Step-by-step explanation:
4/28 = 1/7 = 1:7
Determine the intercepts of the line.
-5x – 4y = 10
y-intercept:
X-intercept:
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
PLEASE GEOMETRY HELP WILL MARK BRAINLIEST!!!
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
Answer:
>
Step-by-step explanation:
because
16/24 > 9/24 :)
Which is the rationalized form of the expression sqrtx/sqrtx+sqrt7
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
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 :)❤
plz help me with this math question
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.
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
Answer:
456 ft.sq
Step-by-step explanation:
Here's your solution
=> Divide the whole figure in two parts
First part is trapeziumSecond 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?
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.
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?
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!
Answer: I would say 4 square feet
Step-by-step explanation:
Pls give brainliest
Please help you guys, Look at the picture attached
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
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.
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
Answer:
PQ = 1/2BC
Step-by-step explanation: