Answer:
Third side is 9m.
Step-by-step explanation:
In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.
15 x 15= 225m2
12 x 12 = 144m2
225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.
Answer:
Follow the Pythagoreas theorm. You typically need to find [tex]C^2[/tex], which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.
Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of [tex]a^2[/tex] and [tex]b^2[/tex] .
EX: [tex]1^2+2^2= 5[/tex]
[tex]25^2=5[/tex]
I can rearrange this so that one leg and the hypotenuse are on the same side:
[tex]25^2-1^2=2^2[/tex]
Now I can take out the example numbers, and substiture in the variables.
[tex]c^2-a^2=b^2[/tex]
Now all I have to do is fill in the known variables!
[tex]15^2-12^2=b^2[/tex]
Solve!
[tex]225-144=80[/tex]
We're not done- we have to find the square root of 81!
It's 9m!
Finally, we can check our work by plugging [tex]A^2[/tex] and [tex]B^2[/tex] into the normal equation. It checks out!
[tex]12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225[/tex]
Have questions? Let me know!
Given DOG, find DG.
Round your answer to the nearest hundredth.
Answer:
DG = 31.75
Step-by-step explanation:
The question is incomplete; however, I'll answer your question using attached image.
From the attachment,
<G = 72° and DO = 8.2
Required
DG?
To get the length of side DG, We have to look for a trigonometric ratio that relates DG, DO and <G together.
DG represents the hypothenus of the triangle;
DO represents the opposite of the triangle;
The two sides are bound by the sine function.
i.e.
Sin72° = DO/DG
Sin72° = 8.2/DG
Multiply both sides by DG
DG * Sin72 = 8.2/DG * DG
DG * Sin72 = 8.2
Sin72 = 0.2538
So, DG * Sin72 = 8.2 becomes
DG * 0.2538 = 8.2
Divide both sides by 0.2583
DG * 0.2583/0.2583 = 8.2/0.2583
DG = 8.2/0.2583
DG = 31.746031746
DG = 31.75 --- Approximated
The number of goldfish in a tank is 19, and the volume of the tank is 52 cubic feet. What is the density of the tank?
Answer:
0.37 goldfish per cubic feet
Step-by-step explanation:
Density has the formula = number/volume
Density = 19/52 = 0.36538 which is rounded to 0.37
Answer:
0.37 goldfish / cu ft. (to the nearest hundredth).
Step-by-step explanation:
Density = number of goldfish / volume of the tank.
That is 19 / 52
= 0.37 goldfish / cu ft.
How do I write a devision symbol on my computer
Answer:
there is no division symbol on laptops, but you could either search it up and copy and paste it or write it as a fraction
Answer:
I believe you can do / for division, the same symbol for fractions, on most, however, there is another way.
I typed Alt-246. Press and hold the Alt key while you type 2 4 6 on the numeric keypad, not the numbers across the top of the keyboard. You need to have Num-lock on.
÷
Another useful one is Alt-241, which is the plus or minus symbol: ±
These are extended ASCII codes. They work on a PC. There is something similar on a Mac, but I don't know what it is. You could look it up on the internet.
There are 16 pieces of fruit in a basket, including 2 nectarines. What is the probability that a randomly selected piece of fruit will be a nectarine? Type your answer as a fraction in simplest form.
Answer:
The probability is 1/8
Step-by-step explanation:
We have 2 nectarines in a total of 16 pieces of fruit in a basket, so the probability of random selected piece of fruit being a nectarine is the number of nectarines over the total number of pieces of fruit:
Probability = Number of nectarines / Total pieces = 2 / 16
To find the fraction in the simplest form, we divide the numerator and denominator by 2:
Probability = (2/2) / (16/2) = 1/8
Answer:
its actually 3/8 trust me
Step-by-step explanation:
need help asap :) they said the text was too short so don't mind this
Answer:
try 63
Step-by-step explanation:
14×9=126
126÷2=63
Answer: area of 63
Step-by-step explanation: the formula is Area = height * base/2
so now substitute Area = 9 * 14/ 2
multiply... Area = 126/ 2
then divide to get 63
hope this helps mark me brainliest if it did
Fair Spinner A has four equal sections labelled 1,2,3,4.
Fair Spinner B has four equal sections labelled 2,3,4,5.
Each Spinner is spun once and the numbers added.
Work out the probability that the total is 5 or less.
Give your answer as a Fraction.
Answer:
3/8
Step-by-step explanation:
The spinner A has 4 possible values:
1, 2, 3, 4
The spinner B has 4 possible values:
2, 3, 4, 5
The possible pairs we can have are:
(1,2), (1,3), (1,4), (1,5),
(2,2), (2,3), (2,4), (2,5),
(3,2), (3,3), (3,4), (3,5),
(4,2), (4,3), (4,4), (4,5).
The sum of these pair of values are:
3, 4, 5, 6,
4, 5, 6, 7,
5, 6, 7, 8,
6, 7, 8, 9.
So we have 6 values that are 5 or less, in a total of 16 values, so the probability of the sum being 5 or less is P = 6/16 = 3/8
Which best describes the transformation that occurs from
the graph of f(x) = x2 to g(x) = (x - 2)²+ 3?
Answer:
The graph changes from the original position to right 3 units and down 1 unit.
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
Find the equation of the line!
help
Answer:
[tex]y=2x+5[/tex]
Step-by-step explanation:
[tex](5,0)[/tex]
Since the y-axis is cross on 5, that's the slope.
y=mx+5
To find x, let's use the formula;
[tex]m=\frac{rise}{run}[/tex]
[tex]m=\frac{6}{3}=2[/tex]
The diagram shows a hexagon.
The hexagon has one line
of symmetry
А
B.
FA = BC
EF = CD
Angle ABC = 123
Angle BCD = 2 x angle CDE
Work out the size of angle AFE.
You must show some of your working.
Your final line must say, AFE = ...
Answer:
158 degrees
Step-by-step explanation:
Step 1:
Let Angle CDE =y
Since Angle BCD = 2 X angle CDE
Angle BCD = 2y
Step 2
Consider Figure 2 attached, each of the figure forms an isosceles trapezoid ABCF and DEFC.
By these properties of Isosceles Trapezoids
Lower Base Angles are CongruentUpper base angles are congruentAny lower base angle is supplementary to any upper base angleTherefore:
[tex]\angle ABC+\angle BCF=180^\circ\\\angle FCD+\angle CDE=180^\circ\\Therefore:\\\angle ABC+\angle BCF+\angle FCD+\angle CDE=360^\circ\\$But \angle BCF+\angle FCD=\angle BCD\\So:\\\angle ABC+\angle BCD+\angle CDE=360^\circ[/tex]
123+2y+y=360
3y=360-123
3y=237
y=79 degrees
Therefore:
[tex]\angle BCD=2 X 79^\circ=158^\circ\\\angle BCD=\angle AFE=158^\circ\\\angle AFE=158^\circ[/tex]
What is the value of x in the equation
7 (4x + 1) – 3x = 5x – 13?
T =
Answer:
x = - 1
Step-by-step explanation:
7 (4x + 1) – 3x = 5x – 13
28x + 7 - 3x = 5x - 13
25x + 7 = 5x - 13
25x - 5x = -13 - 7
20x = -20
x = -20/20
x = -1
Answer: x = -1
Step-by-step explanation:
[tex]7 (4x + 1) -3x = 5x-13[/tex]
Distribute 7.
[tex]28x+7-3x=5x-13[/tex]
Subtract 7.
[tex]28x-3x=5x-13-7[/tex]
Subtract 5x
[tex]28x-3x-5x=-13-7[/tex]
Combine like terms;
[tex]20x=-20[/tex]
Divide by 20.
[tex]x=\frac{-20}{20}\\ x=-1[/tex]
John is digging a rectangular hole. The area of the rectangle is 8 square feet. John digs 4 feet down into the ground. What is the volume of John's hole in cubic feet?
Answer:
32 cubic feet
Step-by-step explanation:
To know the volume of a figure we have to calculate the area of its "base" and then multiply it by its height.
In this case we have a rectangular hole that has an area of 8 square feet.
As we said before:
Volume = Area x height.
If we substitute the value of the area of the rectangle and the height (or depth in this case) we would get:
Volume = 8 x 4 = 32 cubic feet.
Thus, the volume of John's hole is 32 cubic feet.
Answer:
32 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is given by;
Length*width*Height
or, Area*height
Height = 4 feet
Area= 8 square feet
Conversion to Cubic feet is given by;
(cubic feet) = (square feet) × (height in feet)
Therefore,
Cubic feet = 8 square feet*4 feet
= 32 cubic feet.
Find the area of a circle with a circumference of 6.28 units.
Answer:
3.14
Step-by-step explanation:
The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.
What is an area circle?The area of a circle is given by the pie times square of the radius.
Area of circle = πr²
Here,
circumference of a circle is 6.28 units.
circumference = 6.28
2 × π × r = 6.28
r = 1
Now,
Area of the circle = πr²
Area of the circle = 3.14 × 1²
Area of the circle = 1 square unit
The required area of the circle is given as 3.14 square units, as of the circumference of 6.28 units.
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AEFG - ALMN. Find LM.
Answer:
The solution is 2.5. The problem can be solved using the proportion:
2
4
=
x
5
Step-by-step explanation:
I hope it makes since =)
Given f(x)-x-5,solvr for x when f (x)=4
Answer:
-1-x
Step-by-step explanation:
i think im not sure
Help!?! I've been trying for the past half hour:/
Answer:
8 units.
Step-by-step explanation:
To find the y-intercept for the first equation: f(x)=2x²-4x+6, we can simply plug in '0' as 'x' to represent the y-intercept:
f(x)= 2(0)²-4(0)+6 ---> f(x)= 6
Therefore, the y-intercept of the first equation is (0,6).
-------------------------------------------------------------------------------
In the table, we can see that when x=0, y=-2. This is our y-intercept for the table.
When we find the difference between the two, we get:
6-(-2)= 8.
A cylindrical bucket and spherical storage container are shown. The bucket has a radius of 6 inches and a height of 15 inches, and the storage container has a diameter of 24 inches. Nicholas says he can fill the entire storage container with seef by filling the bucket four times and pouring the contents into the container. Is Nicholas correct? Explain why or why not.
Answer:
since the ratio of both volumes is approximately 4, then we can say Nicholas is correct
Step-by-step explanation:
Firstly, what we need to do is to calculate the volume of both.
For the cylindrical bucket, the volume can be calculated as
pi * r^2 * h
where r is 6 inches and h is 15 inches
The volume is thus
pi * 6^2 * 15 = 540pi inches*3
For the spherical storage, the volume can be calculated using the formula
V = 4/3 * pi * r^3
with r = d/2 = 24/2 = 12 inches
The volume is thus;
V = 4/3 * pi * 12^3 = 2,304 pi inches^3
Now, to confirm the validity of Nicholas’ claims, we shall divide the volume of the spherical storage by the volume of the cylindrical container.
Mathematically that would be 2,304pi/540 pi = 4.267 which is approximately 4 times
Find the probability.
6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.
7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)
Answer:
The Probability of getting lemon drink on both draws is 1/16
The Probability of getting diamond on both cards is 1/17
Step-by-step explanation:
1)
No. of lemon-lime flavored bottle = 3
No. of orange flavored bottle = 4
No. of fruit punch flavored bottle = 5
Total bottles = 12
We are given that You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]
So, The Probability of getting lemon drink on both draws is 1/16
2)
No. of diamond cards = 13
Total cards =52
Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]
Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]
Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]
So, The Probability of getting diamond on both cards is 1/17
A right triangle has side lengths of a, b, and cunits. The longest side has a length
of c units. Complete each equation to show three relations among a, b, and c.
a. c² =
b. a^2=
c. 6² =
Answer:
[tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]
[tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]
[tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]
Step-by-step explanation:
Please refer to the attached figure in which [tex]\triangle ABC[/tex] is shown with sides a, b and c.
It is given a right angled triangle with sides a, b and c.
And c is the longest side.
So, it is clear that 'c' is the hypotenuse of the triangle because hypotenuse is the longest side of a right angled triangle.
No condition is given about the base and height.
So, let 'a' be the height and 'b' be the base of triangle as shown in the attached figure in the answer area.
We know that, pythagoras' theorem holds true in every right angled triangle.
According to pythagoras' theorem:
[tex]Hypotenuse^{2} = Base^{2} + Height^{2}\\\Rightarrow c^{2} = a^{2} + b^{2} .......... (1)[/tex]
So, Answer [tex]\text{a. }c^{2} = a^{2} + b^{2}[/tex]
Using equation(1):
Answer [tex]\text{b. }a^{2} = c^{2} - b^{2}[/tex]
Also,
Answer [tex]\text{c. }b^{2} = c^{2} - a^{2}[/tex]
1/4 (8x - 20) - 16 = 10x + 51
Answer:
The answer is -9 (If your looking for x)
Step-by-step explanation: I would suggest using the app Photomap for this kind of stuff. You take a picture of an equation and it gives you a step by step explanation and the answer. Glad I could help!
solve the inequality 4 - x < 9
Answer:
x > - 5
Step-by-step explanation:
[tex]4 - x < 9 \\ - x < 9 - 4 \\ - x < 5 \\ \red{ \boxed{ \bold{ x > - 5}}}[/tex]
The inequality 4 - x < 9 is x > -5.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
4 - x < 9
Adding x on both sides.
4 < 9 + x
Subtracting 9 on both sides.
4 - 9 < x
-5 < x
x > -5
Thus,
x is greater than -5.
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Need help ASAP. WILL MARK BRAINLIEST.
Answer:
will you go out with me
Step-by-step explanation:
i will make pumpkin pie
What is the perimeter of the given polygon
A horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. A left whisker extends from 4 to 7. The box extends from 7 to 14 and is divided into 2 parts by a vertical line segment at 10. The right whisker extends from 14 to 18. All values estimated. About what percent of Brad's fantasy football leagues have fewer than 7 teams? Choose 1 answer: (Choice A) 0% (Choice B) 25% (Choice C) 50% (Choice D) 75% (Choice E) 100%
The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.
The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.
Which of the following statements is true?
Sedimentary rock is formed by heat and pressure.
Seasons are caused by the Earth's tilted axis.
The Earth is a perfect sphere.
The rock cycle always begins with igneous rock.
Answer:obviously seasons are caused by the earths tilted axiz
Step-by-step explanation:
Answer:
Seasons are caused by the Earth's tilted axis.
Step-by-step explanation:
The Short Answer:
Earth's tilted axis causes the seasons. Throughout the year, different parts of Earth receive the Sun's most direct rays. So, when the North Pole tilts toward the Sun, it's summer in the Northern Hemisphere. And when the South Pole tilts toward the Sun, it's winter in the Northern Hemisphere.
What is the solution of log (t-3) = log (17-4t)?
Answer:
t=4 hope this helps you out
Answer:T=4
Step-by-step explanation:
what's the answer too 7x+4y=14 ; y=6x-12 using elimination
Answer:
x = 2
y = 0
Step-by-step explanation:
To solve by elimination, you have to first change the equations so that you can cancel out one variable.
Change the second one.
4y = 24x - 48
Subtract them:
7x = -24x + 62
31x = 62
x = 2
y = 0
7x+4y=14
y=6x-12
Reorder:
7x+4y=14
-6x+y=-12
Multiply bottom one by 4:
7x+4y=14
4(-6x+y=-12)
=>
7x+4y=14
-24x+4y=-48
Combine/Eliminate:
-17x=-34
/-17 /-17
x=2
Plug x back in to one of the equations:
y=6(2)-12=12-12=0
Answer:
x=2, y=0
whta is the first quartile
Answer:
First quartile: the lowest 25% of numbers.
Step-by-step explanation:
you're welcome.
what is
5(2y+4)-11=139
Answer:
10y + 20 -11 =139
10y = 130
y = 130 / 10
y = 13
Step-by-step explanation:
Answer:
Step-by-step explanation:
5(2y + 4) - 11 = 139
5*2y + 5*4 -11 = 139
10y + 20 -11 = 139
10y + 9 = 139 {subtract 9 form both sides}
10y + 9- 9 = 139 -9
10y = 130 {Divide both sides by 10}
10y/10 = 130/10
y = 13
Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?
Answer:
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
Step-by-step explanation:
Given expression,
(negative 2 m + 5 n) squared
By using (a+b)² = a² + 2ab + b²,
∵ A trinomial which is the square of a binomial is called a perfect square trinomial.
Thus, is a perfect square trinomial.
Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and nine inches tall. Sam fills the aquarium. How many cubic inches of water are in Sam's aquarium?
Select one:
2,112 cubic inches
1,449 cubic inches
1,920 cubic inches
1,728 cubic inches
The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.
What is the volume of the cuboid?The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.
Volume of cuboid = (length x width x height)
= 24 x 8 x 9
= 1,728 cubic inches
Thus, the volume of the cuboid is 1,728 cubic inches.
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