[tex]\text{Find the one bottom side of the triangle first}\\\\\text{We know that the total length is 21, but part of it is 11, so subtract}\\\\21-11=10\\\\\text{Divide 10 by 2 because there are two sides for two triangles}\\\\10\div2=5\\\\\text{Now, since we know two of the sides, we would plug in the values}\\\text{into the Pythagorean theorem and solve:}\\\\5^2+b^2=13^2\\\\25+b^2=169\\\\\text{Subtract 25 from both sides}\\\\b^2=144\\\\[/tex]
[tex]\text{Square root both sides}\\\\\sqrt{b^2}=\sqrt{144}\\\\b=12\\\\\text{This means that x = 12}\\\\\boxed{x=12}[/tex]
Directions: Identify the two integers which the square root lies between.
V48
5 and 6
7 and 8
6 and 7
8 and 9
What is the answer to that
Answer:
(1/3)x + 3 >= 3
<=> (1/3)x >= 0
<=> x >= 0
=> The only value from set satisfies, that is 0.
Hope this helps!
:)
Answer:
0
Step-by-step explanation:
⅓x + 3 》3
⅓x 》0
x 》0
Write the cubic term for the Taylor series expansion of f(x) = sin(x) at c = pi/4
I did the work, can you please check for me whether my work is right?
Step-by-step explanation:
Close, the second term should have an exponent of 1.
f(x) = f(c) + f'(c) (x−c)¹/1! + f''(c) (x−c)²/2! + f'''(c) (x−c)/3!
f(x) = 1/√2 + 1/√2 (x−π/4) − 1/(2√2) (x−π/4)² − 1/(6√2) (x−π/4)³
please help will mark brainly
Answer:
The Answer Is 2/3
Step-by-step explanation:
If you look at the shaded area it is 2 shaded out of 3 which means 2/3
Answer:
2/3
Step-by-step explanation:
There are 3 blocks and 2 of those 3 are shaded.
Hope this helps
Please mark me as Brainliest
Write 4x^4 + x^6 - 3+ 6x^8 in standard form.
Answer:
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Step-by-step explanation:
Rewrite this in descending order by powers of x:
6x^8 + x^6 + 4x^4 + 0x^2 - 3x^0
or
6x^8 + x^6 + 4x^4 + 0x^2 - 3
Can someone help me with question e please ?
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need
[tex]x^{2}-4\neq 0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2[/tex]
So the domain is R\{-2, 2}
d)
we need
[tex]x^{2}+x-2\neq 0\\x\neq 1\\and\\x\neq -2[/tex]
So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
4,250,000 written in word form
Answer: four million two hundred fifty thousand.
Step-by-step explanation:
Carter took 7 coins out of his pocket. He did not have any pennies.He had more than $0.95 and less than $1.13 what could his coins have been ?Prove your anser
Answer:
Carter's coins could be;
3 of 5¢, 2 of 10¢, 1 of 25¢, and 1 of 50¢
Step-by-step explanation:
The available coin denominations are;
1¢ = 1 penny, 5¢, 10¢, 25¢, 50¢, and $1.00
Since the coins are more than $0.95, we can have;
5¢ × 3
10¢× 2
25¢× 1
50¢
Total = $1.00
That is his coins could have been 3 × 5¢, 2 × 10¢, 1 × 25¢, and 1 × 50¢, to make a total of 7 coins with an amount value of $1.00.
Mr. Mole's burrow lies 5 meters below the ground. He started digging his way deeper into the ground, descending 3 meters each minute.
Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).
Answer is that Mr mole goes 3 each minute for each minute add on those 3 as you add on those 3 write it down counting how many then you know the time and the meters hes been digging
5. If sin x = 0.8829, what is the measure of the angle x?
Answer:
0.0154°
Step-by-step explanation:
In this problem we are required to solve for x, which is the angle, there are two ways to go about about it, we either use four figure table or calculator.
To use calculator remember to set your calculator in degrees and not in radian.
Punch sin 0.8829=0.0154°
Answer: The angle is 62.77°
Step-by-step explanation:
Here we can use the inverse function of the sin, the arcsin, this function is such that:
Asin(sin(x)) = x
and we have that sin(x) = 0.8829
Asin(sinx)) = Asin(0.8829) = 62.77°
The angle x, in degrees, is 62.77°
A store employee counts 285 different lawn decorations. He wants to organize them and place the lawn decorations on 9 shelves. About how many lawn decorations will go on each shelf? A About 30 B About 40 C About 50 D About 90
Answer: C) About 30
Step-by-step explanation: 285/9= 31.6666666667 which rounded to the nearest ten is equal to 30
There should be about 30 decorations on each shelf.
What is division?The opposite of multiplication is division. Assuming that 3 gatherings of 4 make 12 in augmentation, 12 isolated into 3 equivalent gatherings give 4 in each gathering in division.
The primary objective of partitioning is to perceive the number of equivalent gatherings that are shaped or the number of are in each gathering while sharing decently.
Given total lawn decorations = 285
and to arrange in 9 shelves
each shelves will have
285/9 = 31.6667
the nearest ten is 30.
Hence each shelf have about 30 decorations.
Learn more about division;
https://brainly.com/question/1575906
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Hey i had previously if -20.33 was rational or irrational , i didn’t get an answer could someone please let me know ?
Answer:
Yes
Step-by-step explanation:
-20.33 is rational. It has a terminating decimal.
Terminating and repeating decimals are rational. Decimals that are never ending and does not have a repeating pattern of decimals are irrational.
-20.33 = [tex]-20\frac{33}{100}[/tex]
Can someone help me on this?
Answer:
B
Step-by-step explanation:
asdddddddddddddddddddddddddddddddsdasdasdasdasdas
Answer:
b
Step-by-step explanation:
dylan invested $600 in a savings account at a 2% annual interest rate. He made no deposits or withdrawals on the account for 2 years. The interest was compounded annually. Find, to the nearest follower, the balance in the account after 2 years.
Answer:
He's RICH
Step-by-step explanation:
100,566
n circle V, r = 14ft.
What is the area of circle V?
a
49π square feet
b
196π square feet
c
14π square feet
d
28π square feet
Answer:
196 pi, otherwise known as choice b
Step-by-step explanation:
14^2*pi
Answer:
b
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^2[/tex]. Plugging in the radius that you are given, you get [tex]\pi \cdot 14^2=196\pi[/tex], or answer choice b. Hope this helps!
In the diagram, the lines dividing the parking spaces are parallel. What must be true about <1 and <2? What theorem supports your conclusion?
Answer:
Option B.
Step-by-step explanation:
Given question is incomplete; find the question in the attachment.
Given figure shows the parking spaces are divided by the parallel lines.
Here the two lines having ∠1 and ∠2 are parallel and a transverse is intersecting these lines.
By alternate interior angles theorem, ∠1 and ∠2 will be equal in measure.
Therefore, Option B. will be the answer.
It's spaghetti night at Carley's house. She has 1/2 of a cup of grated cheese to sprinkle equally over 3 bowls of spaghetti. How many cups of cheese does she put in each bowl ?
Answer:
1/6 a cup on each bowl
Step-by-step explanation:
1/2 divided by 3 is 1/6
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.
Slope and y-intercept of the function y= -5x+4.
Answer:Slope is -5. y-intercept is 4
Step-by-step explanation:
y=mx+c m=slope y-intercept=c
y=-5x+4
Comparing both equations we m=-5 and c=4 meaning slope =-5 y-intercept=4
What is the surface area of the square pyramid?
Answer:
D
Step-by-step explanation:
The formula for the surface area of a square pyramid is [tex]a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex], where a is the length of one of the base side lengths and h is the height. Plugging in the given values into this equation, you get:
[tex]75^2+2(75)\sqrt{\dfrac{75^2}{4}+90^2}=[/tex]
[tex]5625+150\cdot \sqrt{9506.25}=[/tex]
[tex]5625+14625=[/tex]
[tex]20,250[/tex] square yards, or answer choice D.
Hope this helps!
examine the relationships that exist in the diagram below. find the measures of angles a, b, c, and d. remember that you can find the angles in any order, depending on the angle relationships you use.
Answer:
m∠a = 97°
m∠b = 15°
m∠c = 68°
m∠d = 68°
Step-by-step explanation:
Since WY and RZ are parallel lines and XR is a transverse,
m∠XWY = m∠XRZ
a = 97°
m∠WYX = 180° - 112° = 68°
In ΔXYW,
m∠WXY = 180° - (m∠XWY + m∠WYX)
= 180° - (a + 68°)
= 180 - (97 + 68)
= 180 - 165
= 15°
b = 15°
Since WY and RZ are the parallel lines and XZ is a transverse,
m∠WYX = m∠RZX = 68°
c = 68°
m∠d = m∠c [Alternate interior angles]
d = 68°
Seven less than the product of 6 and a number is equal to 3 Translate the sentence into an equation.
Answer:
Step-by-step explanation:
I don't say you have to mark my ans as brainliest but don't forget to thank me if it has really helped you...
The sentence into an equation is 6x-7= 3
Let x represent the unknown number
The number is multiplied by 6
= (6 × x )
= 6x
seven is subtracted from the product
= 6x - 7
The product is equated to 3
= 6x-7= 3
hence the equation is 6x-7= 3
Please see the link below for more information
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Joe is looking for a new laptop case. His computer is 18 x 13.5 inches. What is the perimeter and area of the laptop case?
Perimeter:
Area:
Answer:
Perimeter =63 inches
Area = 243in²
Step-by-step explanation:
Given data
Length of computer = 18in
Width of computer = 13.5in
From the given data the computer has a rectangular shape
Perimeter of the computer = L+L+W+W= 2L+2W
Perimeter = 2(18)+ 2(13.5)
Perimeter = 36+27=63 inches
Area of rectangular shape = L*W
Area = 18 x 13.5= 243in²
Answer:
Perimeter: 63 inches
Area : 243 square inches
Step-by-step explanation:
Hi, to answer this question w eave to apply the next formulas:
Perimeter of a rectangle: (2 x width) + (2 x length )
Area of a rectangle: width x length
Replacing with the values given:
Perimeter: 2(18) +2(13.5) = 36+27 = 63 inches
Area = 18 x 13.5 = 243 square inches
Feel free to ask for more if needed or if you did not understand something.
Round 69.65 to the nearest whole number.
A) 69
B) 69.7
C) 70
D) 70.6
Answer:
70
Step-by-step explanation:
69.65
We look at the tenths place to determine if we round up or leave it alone
.6 is greater then or equal to five so we need to round the 9 up
69.65 rounds to 70
Answer:
C
Step-by-step explanation:
Rounding 69.65 to the whole number would be 70
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Statements Reasons
1. [tex]MN \parallel AC[/tex] 1. Given
2. [tex]AK = KC[/tex] 2. Given
3. [tex]m \angle NAC = m\angle MCA[/tex] 3. Base angles theorem.
4. [tex]m \angle NAC = m\angle MNA[/tex] 4. Alternate interior angles.
5. [tex]m \angle MCA = m \angle NMC[/tex] 5. Alternate interior angles.
6. [tex]MK = NK[/tex] 6. Isosceles triangle theorem.
7. [tex]m \angle MKA = m \angle NKC[/tex] 7. Vertical angles.
8. [tex]\triangle MKA \cong \triangle NKC[/tex] 8. By SAS postulate.
9. [tex]m \angle MAK = m \angle NCK[/tex] 9. By CPCTC.
10. 10. Sum of adjacent angles.
[tex]m\angle MAK + m \angle NAC = m \angle NCK + m \angle MCA\\m \angle A = m \angle C[/tex]
11. [tex]\triangle ABC[/tex] is isosceles 11. Base angles theorem.
5.Gabby is fishing from a small boat. Her fishing hook is 36 feet below her, and a fish is swimming at the same depth as the hook, 77 feet away. How far away is Gabby from the fish?
Answer:
113 feet away
Step-by-step explanation:
This one is just simple maths! 36 + 77.
Hava a great day!
Denise calculated the missing side length of one of these triangles using the Pythagorean Theorem. Which triangle is it? (4 points) Four triangles are shown. Triangle A has three equal sides, and two sides are marked 4 and 4. Triangle B has sides marked 3 and 5. Triangle C has sides marked 4 and 5. Triangle D has sides marked 2 and 4 and a right angle marked in between them.
Answer:
D
Step-by-step explanation:
Answer:
The answer is triangle D because you can only apply the Pythagorean Theorem to right triangles
Can someone tell me the rate of change on this graph?? Please!
Math isnt my strong suit..
Answer:
See explanation below.
Step-by-step explanation:
First, read this explanation of how to understand probability numbers.
A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.
A probability of 0 means the event will not happen. It is an impossibility.
A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.
A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.
A probability of between 0 and 0.5 is more likely not to happen than to happen.
A probability of between 0.5 and 1 is more likely to happen than to not happen.
Now let's look at each one of the probabilities in your problem.
1. 1/4
1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.
1. b. Unlikely
2. 0.0
0.0 will definitely not happen.
2. e. Impossible
3. 0.50
0.50 can just as easily happen or not happen.
3. d. Equally Likely
4. 100%
100% is the same as 1. A probability of 1 means an event that is certain to happen.
4. a. Certain
5. 75/100
75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.
5. c. Likely
The space shuttle's external tank was a component of the space shuttle's launch vehicle that carried the fuel during launch. The tank is cylindrical in shape, having a diameter of 8.4 metres and is 46.9 metres in length. A)How much fuel would the tank hold? B)The tank takes 8.5 minutes to be emptied during launch. At what rate is the fuel being used?
Answer:
a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel
b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute
Step-by-step explanation:
a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.
Mathematically, the volume of a cylinder;
V = π * r^2 * h
where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case
h is the length here(in place of the conventional height) = 46.9 meters
π = 22/7
Plugging these values into the equation, we have;
V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel
Since 1 m^3 = 1000 liters
then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)
b. Now we want to know the rate at which the fuel is used
What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied
That would be = 2,600,136/8.5 = 305,898.35 liters/minute