which relationship between the legs and the hypotenuse of the right triangle is correct?
Answers
x^2 +( 8^2) = (10^2)
x^2 + 64 = 100
-64 -64
x^2 = 36
x = 6
Related Questions
at a local animal shelter there are 12 small size dogs and 5 medium sized dogs everyday the small sized dogs are each given 12.5 oz of dry food and the medium sized dogs are each given 18 oz of the same dry food how many pounds of dry food does the shelter serve in one day
Answers
The shelter serves a total of 15 pounds of dry food per day, after calculating the food given to both small and medium-sized dogs and converting the total from ounces to pounds.
To calculate the total amount of dry food served at the shelter in one day, you must multiply the amount of food each dog consumes by the number of dogs of that size. Then, add the totals for each size category. Since the pound is the most suitable unit for this calculation, you need to convert the ounces of food into pounds. There are 16 ounces in one pound.
First, calculate the total food for small-sized dogs: 12 dogs × 12.5 oz each = 150 oz.Then, calculate the total food for medium-sized dogs: 5 dogs × 18 oz each = 90 oz.Combine the amounts: 150 oz + 90 oz = 240 oz of dry food total.Finally, convert ounces to pounds: 240 oz ÷ 16 oz per pound = 15 pounds of dry food.Therefore, the shelter serves a total of 15 pounds of dry food in one day.
match the math sentence that count on and back by tens.
38+20=? 63+40=? 42+30=?
77-30=? 53-40=? 91-20=?
Answers
63+40= sixty-three, seventy-three, eighty-three, ninety-three, one-hundred three
42+30=forty-two, fifty-two, sixty-two, seventy-two, eighty-two.77-30= Seventy-seven sixty-seven, fifty-seven, forty-seven 53-40=fifty-three, forty-three, thirty-three, twenty-three, thirteen
91-20= Ninety-one, eighty-one, seventy-one
This method is where you count up and down by tens.
- ( 38 + 20 = 58 ): Counting 20 more than 38 gives 58.
- ( 63 + 40 = 103 ): Adding 40 to 63 results in 103.
- ( 42 + 30 = 72 ): Adding 30 to 42 gives 72.
- ( 77 - 30 = 47 ): Subtracting 30 from 77 results in 47.
- ( 53 - 40 = 13 ): Subtracting 40 from 53 gives 13.
- ( 91 - 20 = 71 ): Subtracting 20 from 91 results in 71.
let's go through each math sentence and solve them step by step:
1. ( 38 + 20 )
- Start with 38.
- Add 20 to 38.
- Calculation: ( 38 + 20 = 58 )
- So, ( 38 + 20 = 58 )
2. ( 63 + 40 )
- Start with 63.
- Add 40 to 63.
- Calculation: ( 63 + 40 = 103 )
- So, ( 63 + 40 = 103 )
3. ( 42 + 30 )
- Start with 42.
- Add 30 to 42.
- Calculation: ( 42 + 30 = 72 )
- So, ( 42 + 30 = 72 )
4. ( 77 - 30 )
- Start with 77.
- Subtract 30 from 77.
- Calculation: ( 77 - 30 = 47 )
- So, ( 77 - 30 = 47 )
5. ( 53 - 40 )
- Start with 53.
- Subtract 40 from 53.
- Calculation: ( 53 - 40 = 13 )
- So, ( 53 - 40 = 13 )
6. ( 91 - 20 )
- Start with 91.
- Subtract 20 from 91.
- Calculation: ( 91 - 20 = 71 )
- So, ( 91 - 20 = 71 )
Therefore, the solutions are:
- ( 38 + 20 = 58 )
- ( 63 + 40 = 103 )
- ( 42 + 30 = 72 )
- ( 77 - 30 = 47 )
- ( 53 - 40 = 13 )
- ( 91 - 20 = 71 )
what is 5 13/12 simplified
Answers
because 12/12 is a whole and 13/12 means 1 and 1/12 so you would add that to the 5
5 + 1 and 1/12
6 1/12
Hope this helps!
The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The mixed fraction number is given below.
⇒ 5 ¹³/₁₂
Convert the mixed fraction number into a fraction number. Then we have
⇒ 5 ¹³/₁₂
⇒ 5 + 13 / 12
⇒ (5 x 12 + 13) / 12
⇒ (60 + 13) / 12
⇒ 73 / 12
The mixed fraction number 5 ¹³/₁₂ into a simplified form will be 73/12.
More about the Algebra link is given below.
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The point P(-4, -5) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, P′?
Answers
Two congruent triangles fit together to form a parallelogram with a base of 14 inches and a height of 10 inches. What is the area of each triangle?
Answers
After this you will divide the answer of 140 square inches by 2 because the area each congruent triangle would be half of the total area.
The answer is 70 square inches for each triangle.
Final answer:
The area of each triangle is 140 square inches.
Explanation:
The area of a triangle is given by the formula A = ½ × base × height.
In this case, the base of the parallelogram is 14 inches and the height is 10 inches.
Since two congruent triangles form the parallelogram, we can consider one of the triangles.
Let's call the base of the triangle 'b' and the height 'h'.
We have the equation A = ½ × b × h = 14 × 10 = 140 square inches.
Therefore, the area of each triangle is 140 square inches.
Question number 7 please
Answers
I would be happy to help.
For Part A, you just count the number of terms, there are 3. So, it is a trinomial.
For Part B, you look at the highest exponent value, it is 2. So it is a second degree polynomial.
For Part C, you have to sub in the values for each year. You are looking for the number of years since 1930, so subtract 1930 from each year.
2020 - 1930 = 90
2030 - 1930 = 100
Then, sub in those values into the given expression to find the density.
0.005(90)^2 - 0.127(90) + 1 = 30.07
0.005(100)^2 - 0.127(100) + 1 = 38.3
Remember to use the order of operations!
Good luck,
MrEQ
The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
Answers
[tex] \frac{x^{4}+4x^{3}+3x^{2}+8x+4}{x^{3}+3x^{2}+8}=x+1-\frac{4}{x^{3}+3x^{2}+8}[/tex]
The height of the prism is [tex]x+1-\frac{4}{x^{3}+3x^{2}+8}[/tex]
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
Given :
Volume of rectangular prism [tex]= x^4+4x^3+3x^2+8x+4[/tex]
Base Area of a rectangular prism = [tex]x^3+3x^2+8[/tex]
[tex]\rm Volume = Base \;Area\times Height[/tex] ---- (1)
Solution :
The volume of prism is the amount of space a prism occupies. It has two same faces and other faces that resemble a parallelogram.
Let the height of the prism be h.
Now, substitute the value of base area and volume of the rectangular prism in the given equation (1).
[tex](x^4+4x^3+3x^2+8x+4) = (x^3+3x^2+8)\times h[/tex]
[tex]\dfrac{x^4+4x^3+3x^2+8x+4}{x^3+3x^2+8}=h[/tex]
[tex]h = \dfrac{((x+1)(x^3+3x^2+8)-4)}{(x^3+3x^2+8)}[/tex]
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
If the volume of a rectangular prism is the product of its base area and height, than the height of the prism is given by:
[tex]h = (x+1)-\dfrac{4}{(x^3+3x^2+8)}[/tex]
For more information, refer the link given below
https://brainly.com/question/15861918
rectangles. Please help!
Answers
4x-12.
4x/4-12/4. So x=3
The fours cancelled out
7x-18
7x/7-18/7. So x= 2 4/7
The sevens cancelled out
Ian is going to water his plants is it reasonable to say he will fill the watering can with 3 liters of water explain
Answers
It is equivalent to 3000 ml, which would also be 100 ounces of water.(5 -20 oz bottles of water).
Final answer:
It is reasonable for Ian to fill a watering can with 3 liters of water for watering plants, as it falls within the typical range required by houseplants and should suffice for watering multiple indoor plants or a small garden.
Explanation:
To determine if it is reasonable for Ian to fill a watering can with 3 liters of water to water his plants, we should consider the capacity of common watering cans and the typical water requirements for houseplants. For example, a standard watering can might hold anywhere from 1 to 10 liters of water, and most indoor plants generally require between 0.25 and 1 liter of water per week, depending on their size and the environmental conditions.
If Ian has several plants or a few large plants, 3 liters of water might be a perfectly reasonable amount for him to use. Without knowing the exact number and size of the plants, it is difficult to provide a precise answer, but in general, 3 liters is within a normal range for watering multiple houseplants.
For a substantial garden or larger outdoor plants, 3 liters might even be on the lower end, and multiple trips to the tap may be necessary. Thus, it is indeed reasonable to say that Ian will fill the watering can with 3 liters of water for watering plants.
the points (10, 6) and (7, u) fall on a line with a slope of -4/3. what is the value of u?
Answers
u = 10
Explanation:
slope can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)
We are given:
slope = -4/3
point (10,6) representing (x1,y1)
point (7,u) representing (x2,y2)
Substitute with the givens in the above rule and solve for u as follows:
slope = (y2-y1) / (x2-x1)
-4/3 = (u-6) / (7-10)
-4/3 = (u-6) / (-3)
-3 * -4 = 3 * (u-6)
4 = u - 6
u = 4 + 6
u = 10
Hope this helps :)
The area of a circle is represented by the following expression, where r is the radius of the circle.
Find the approximate area of a circular pool cover with a radius of 12.5 meters. Use 3.14 for .
Answers
$27.99 shoes ; 7 1/2 tax find the total cost or sale price to the nearest cent
Answers
27.99+2.10= $30.09
Answer:
$The total cost or sale price = $30.09
Step-by-step explanation:
The total cost or sale price is the absolute price of a commodity including the given tax.
From the question given, the tax is [tex]7\frac{1}{2}[/tex]% of the price. So that;
Tax = [tex]7\frac{1}{2}[/tex]% × 27.99
= 0.075 × 27.99
= 2.09925
∴ Tax = $2.09925
The total cost or sale price = price + tax
= $27.99 + $2.09925
= $30.08925
The total cost or sale price = $30.09
Mentone, Indiana claims to have the wor d's largest egg sculpture. A 5 foot tall person standing next to the egg sculpture casts a shadow that is 3 feet long. if the egg casts a shadow that is 6 feet long, how tall is the sculpture?
Answers
Because if a 5 foot tall person casts a 3 foot long shadow then a 6 foot shadow would = 10 feet
What is 6.877 rounded to the nearest whole number
Answers
Here is your answer:
The proper answer to this question is "7".
Here is how:
Looking at the number closest to the whole number (6&8) you will see that 8 is bigger than 5 therefore it rounds up!
6.877=7
Your answer is 7.
If you need anymore help feel free to ask me!
Hope this helps!
-6x+6y=6
-6x+3y=-12
Solve using elimination
Answers
-6x + 3y = -12
You would multiply the bottom equation by -1 to make -6x a positive so you can eliminate it.
-6x + 6y = 6
6x + -3y = 12
Eliminate -6y and add 6y to -3y as well as 6 and 12.
0 + 3y = 18
3y = 18
divide both sides by 3
y = 6
now that you know the value of y it will be easy to find x :)
-6x + 3y = -12
✨ You need to eliminate a variable, so I'll use -1 to multiply the first equation by.
6x - 6y = -6
-6x + 3y = -12
-3y = -18
✨ y = 6
6x - 36 = -6
6x = 30
✨ x = 5
✨ The solution is (5,6) ✨
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♡´･ᴗ･`♡вяαιиℓιєѕт ρℓєαѕє♡´･ᴗ･`♡
What is the value of mc020-1.jpg?
40
77
4,096
9,317
Answers
Answer:
The answer is 77
just took the test ;)
The value of the function (f/g) (5) is 270.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x)=7+4x
g(x) = 1/2x
We need to find the value of f/g(5)
(f/g) (x) = f (x)/g(x)
(f/g) (5) = f (5) / g(5)
Now we will put the value of x = 5
f (5) = 7 + 4 (5) = 27
g (5) = 1 / (2)(5) = 1/10
(f/g) (5) = 27 / (1/10)
(f/g) (5) = 270
Hence, the value of the function (f/g) (5) is 270.
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The given question is not complete.
The question will be like this, the function f(x)=7+4x, g(x) = 1/2x then value of f/g(5)?
For f(x)=3x-1 find the average rate of change on the interval [0,3]
Answers
The average rate of change is 3.
_____
(f(3) -f(0))/(3 -0) = (8 -(-1))/3 = 9/3 = 3
How is the square root of 343 cubed 7?
Answers
hope this helps
[tex] 7^3 = 343 [/tex]
[tex] \sqrt[3]{343} = 7 [/tex]
Exponent and root are inverse operations.
If you square 5 to get 25, then when you take the square root of 25 you get 5.
7^3 = 343, so the cubic root of 343 is 7.
Matias stacked his cubes to make this rectangular prism. rectangular prism with grid lines How many cubes did Matias use?
https://static.k12.com/calms_media/media/1451000_1451500/1451333/1/fa05fd502d1273bf0751cb02832848aa1b938634/Math_Purple_140218_131628.jpg
Answers
Answer:
The answer is 112
A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a heart? a:15% b:25% c:27% d:35% Outcome Club Diamond Heart Spade Number of trials 8 12 14 6
Answers
If you divide the number of hearts drawn by the number of total draws you get your answer.
14/20=0.35
If the dimensions of a square pyramid are measured in meters, then the surface area of the pyramid is measured in
meters
square meters
cubic meters
Answers
Surface area = area of square base + area of lateral faces
= (side length of square )² + (1/2 * slant height* perimeter)
If we substitute the equations with the units of the dimensions
area = (meters)² + (1/2* meters * meters)
= m² + m²
total area = m²
therefore the area is obtained in square meters (m²)
Answer:
If the measurments are in meters, then the surface area of the pyramid will be in square meters.
Step-by-step explanation:
Solve for a.
a+(−4)=−13
What is the answer?
a=−17
a=−9
a = 9
a = 17
Answers
-9 + -4 = -13
-13 = -13
A is not the answer because-
-17 + -4 = -13
-21 ≠ -13
C is not the answer because-
9 + -4 = -13
5 ≠ -13
D is not the answer because-
17 + -4 = -13
13 ≠ -13
How would 5,682,850,003 be written in expanded form?
A. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 1
B. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 10,000 + 3 x 10
C. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 1,000 + 3 x 1
D. 5 x 1,000,000,000 + 6 x 100,000,000 + 8 x 10,000,000 + 2 x 1,000,000 + 8 x 100,000 + 5 x 100 + 3 x 1
Answers
It would be (5 x 1,000,000,000) +
(6 x 100,000,000) + (8 x 10,000,000)
+ (2 x 1,000,000) + (8 x 100,000) +
(5 x 10,000) + (3 x 1)
Hope this helped!! :D
What is the mean for 43005,43007,43006,43005,43007
Answers
To find the mean, you simply add up all of the numbers in the sequence and divide by how many numbers are in the sequence.
43005+43007+43006+43005+43007=215030
215030 / 5 = 43006.
To find the mean:
1. Add all the numbers up
2. Divide the sum of the numbers by how many numbers there are
43005 + 43007 + 43006 + 43005 + 43007 = 215030
215030 ÷ 5 = 43006
A store has two brands of pencils on sale for the day. Brand A comes in packs of 4 and Brand B comes in packs of 10. If an equal number of each brand sold, what is the minimum number of each sold.
Answers
B - 10
looking for the LCM (least common multiple)
4 and 10 can both be divided evenly into 20
20 = LCM
1) Given the data 12, 39, 21, 18, 24, 17, 12, 25:
What is the outlier in the data?
What is the mean with the outlier?
What is the mean without the outlier?
A)12; 21; 18.4
B)12; 18.4; 21
C)39; 21; 18.4
D)39; 18.4; 21
Answers
The mean with the outlier is 12+12+17+18+21+24+25+39 = 168
168/8 = 21
The mean without the outlier is 12+12+17+18+21+24+25=129
129/7 = 18.4
These are choice C.
* 20 points when marked brainliest *
Please explain thoroughly.
Answers
.. d = |ax +by +c|/√(a^2 +b^2)
The general form equation for your line is
.. x -y +4 = 0
so the distance to (4, -2) is
.. d = |4 -(-2) +4|/√(1^2 +(-1)^2) = 10/√2 = 5√2
.. d ≈ 7.1 . . . . . . . . . . corresponds to selection A
A group of seventh and eighth graders were asked whether they prefer reading fiction or nonfiction.
This table shows the relative frequencies of the rows for the two-way table representing this situation.
Select from the drop-down menus to complete the statement.
The percent of seventh graders surveyed who prefer fiction is ____ the percent of eighth graders surveyed who prefer fiction.
A. greater than
B. less than
C. equal to
Answers
8th graders prefer fiction is 0.68 = 68%
7th graders is greater than 8 graders
answer
A. greater than
Answer:
Option A. greater than
Step-by-step explanation:
The percent of seventh graders surveyed who preferred fiction = 0.75 or 75%
The percent of eight graders surveyed who preferred fiction = 0.68 or 68%
Now we can say the percentage of seventh graders who preferred fiction is GREATER THAN the percentage of eight graders who preferred fiction.
Therefore option A. is the correct option.
Officials in a town use a function c to analyze traffic patterns. C(n) represents the rate of traffic through an intersection where n is the number of observed vehicles in a specified time interval. What would be the most appropriate Damian for the function
Answers
This functions counts the number of cars that pass through an intersection as the domain (or input). Therefore, we would start counting at 0 and go up for each car.
The set of numbers {0, 1, 2, 3, 4, 5, 6, 7 ....} are called the whole numbers.
The most appropriate domain for [tex]\( C(n) \)[/tex] is non-negative integers, representing the count of vehicles observed.
The most appropriate domain for the function [tex]\( C(n) \)[/tex], which represents the rate of traffic through an intersection based on the number of observed vehicles [tex]\( n \)[/tex] in a specified time interval, would be all non-negative integers. This is because the number of vehicles observed [tex](\( n \))[/tex] can only be a whole number (you can't have a fraction of a vehicle), and it can't be negative.
So, the domain of [tex]\( C(n) \)[/tex] would be:
[tex]\[ \text{Domain: } n \in \{0, 1, 2, 3, \ldots\} \][/tex]
This means [tex]\( n \)[/tex] is any non-negative integer.
Help meeeeeeeeeeeeee
Answers
its a^2 + b^2 = c^2 where a and b are the short sides, or the legs, and c is the hypotenuse, or the long side.