Answer:
Summer is incorrect
Step-by-step explanation:
It definitely matters which side is side "c". Side "c" must be the hypotenuse (the side across from the right angle).
The other two sides are the legs (sides touching the right angle), and either leg can be "a" or "b", but the hypotenuse must be "c".
Take the equation, a² + b² = c², and subtract c² from both sides:
[tex]a^{2} +b^{2} -c^{2} =0[/tex]
It won't matter which leg is "a" or "b", because of the commutative property of addition. Note that "a²" and "b²" are added together, and due to the commutative property of addition, we can add in either order and get the same result.
However, since the c² term is connected by subtraction, and subtraction doesn't have a commutative property, it can't be subtracted in any order. Meaning which side it is is important.
Will a stand that hold up to 40 pounds support a 21-kilograms television? Explain used 2.2 Lb = kg
Answer: No, the stand will not support the TV. It is too heavy.
Work Shown:
1 kg = 2.2 lbs approximately
21*1 kg = 21*2.2 lbs
21 kg = 46.2 lbs
A 21 kilogram tv is roughly equivalent to 46.2 pounds.
This exceeds the 40 pound weight limit, so this stand will not support it.
Answer: No
Step-by-step explanation:
Weight limit = 40 Lb
Weight given = 21 kg
Conversion factor
2.2 Lb = 1 kg
2.2 x 21 = 46.2
46.2 Lb = 21 kg
46.2 > 40, the stand cannot support the TV
If 2 times the sum of two consecutive even numbers is greater than 94, what is the smallest possible value of the larger number?
Answer:
26
Step-by-step explanation:
Define the variables:
2n = first even number2n + 2 = consecutive even numberGiven information:
2 times the sum of two consecutive even numbers is greater than 94Create an inequality from the defined variables and the given information:
⇒ 2(2n + 2n + 2) > 94
Solve the inequality:
⇒ 2(4n + 2) > 94
⇒ 8n + 4 > 94
⇒ 8n > 90
⇒ n > 11.25
Therefore:
2n > 22.52n + 2 > 24.5As 2n and 2n+2 are even numbers:
smaller number (2n) ≥ 24larger number (2n + 2) ≥ 26Therefore, the smallest possible value of the larger number is 26.
Given: AC and BD are parallel. BX and CY are parallel. AX = DY.
Prove: AYC is congruent to DXB
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Using the ASA congruency the triangles are congruent.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
For the two of the given triangles ΔACY and ΔDXB,
∠A = ∠D {Alternate Interior Angles}∠DXB = ∠ACY {Alternate Interior Angles}AY = YD ⇒ (AX + XY) = (DY + XY) {Given AX=DY}Since the measure of the two angles and one side of the two triangles are equal, therefore, using the ASA congruency the triangles are congruent.
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Complete the steps 4/9 divided by 1/2
Answer: 0.88 (the 8 recurs)
Step-by-step explanation:
[tex]\frac{4}{9}[/tex]÷[tex]\frac{1}{2}[/tex]
[tex]\frac{4}{9}[/tex]×[tex]\frac{2}{1}[/tex] (Then the the fraction should reciprocal so the values should shift to the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)
then u should multiply the two fractions which gives 8/9
next you should divide 8 by 9 which gives 0.88(the number eight is recurring which means that the number 8 keeps repeating no matter how many times you try to divide)
What are the exact solutions of x2 − 3x − 5 = 0? (1 point) a x = the quantity of negative 3 plus or minus the square root of 29 all over 2 b x = the quantity of 3 plus or minus the square root of 29 all over 2 c x = the quantity of 3 plus or minus the square root of 11 all over 2 d x = the quantity of negative 3 plus or minus the square root of 11 all over 2
x = the quantity of 3 plus or minus the square root of 29 all over 2. Then the correct option is B.
What is the solution of the quadratic equation by formula method?The quadratic equation is given as ax² + bx + c = 0.
Then the solution is given as
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2 - 4ac}}{2a}[/tex]
The quadratic equation is given below.
x² – 3x – 5 = 0
Then the solution of the equation will be
[tex]\rm x = \dfrac{-(-3)\pm \sqrt{(-3)^2 - 4 *1*(-5)}}{2*1}\\x = \dfrac{3 \pm \sqrt{29}}{2}[/tex]
Then the correct option is B.
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The fences will be aligned with the exterior angles 1 and 2. what are some other relationships you can see between 1,2,a, and b? (2 points)
please help
1.8.4
The relationships between angles 1, a, b, and 2 can be defined using the angles between parallel lines.
In the diagram, we can see the fences, making angles 1 and 2 with the parallel lines X and Y respectively.
Using the angles among parallel lines, we can state the relationships between angles 1, a, b, and 2 as follows:
Angle 1 and Angle a are adjacent angles, thus their sum is 180°, that is m∠ 1 + m∠ a = 180°.Angle 2 and Angle b are adjacent angles, thus their sum is 180°, that is m∠ 2 + m∠ b = 180°.Angle 1 and Angle b are corresponding angles, thus they are equal, that is m∠1 = m∠ b.Angle 2 and Angle a are corresponding angles, thus they are equal, that is m∠2 = m∠ aAngle 1 and angle 2 are co-exterior angles, thus their sum is 180°, that is, m∠ 1 + m∠ 2 = 180°.Angle a and angle b are co-interior angles, thus their sum is 180°, that is, m∠ a + m∠ b = 180°.These were the relations among angles 1, a, b, and 2, using the parallel lines X and Y.
Refer to the diagram for a better understanding.
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Which is a sum of cubes?
a3 + 18
a6 + 9
a9 + 16
a12 + 8
Answer:
a^12+8
Step-by-step explanation:
let's check all the expressions
1. a^3+18
here 18 is not a perfect cube.
2. a^6+9
here 9 is not a perfect cube.
3. a^9+16
here 16 is not a perfect cube.
4. a^16+8
here 8 is a perfect cube, thus we can write above expression by using laws of exponents as
(a^4)^3+2^3
Thus, is a sum of cubes.
a^12+8
wonder woman made a reglangular fence around her invisable airplane so it would not get hurt by her dog. her fence was 4ft long, 2 ft wide, and 3 ft high. how much material did she use t make her fence
Answer:
36 ft^2
Step-by-step explanation:
Perimeter = 4 + 4 + 2 +2 = 12 feet
12 feet x 3 feet high = 36 ft^2
Which of the following is needed to construct a hexagon?
OA. Six obtuse triangles
OB. Six isosceles triangles
OC. Six right triangles
OD. Six equilateral triangles
The answer choice which represents the what is needed to construct a hexagon is Choice B; Six isosceles triangles.
What is needed to construct a hexagon?
By definition, an hexagon is a closed figure with six equal sides and six congruent interior angles.
On this note, upon assembly of six isosceles triangle s in which cases, the excluded side of the isosceles triangles form the sides of the hexagon and the congruent sides represents lines joining each vertex to the center of the hexagon, an hexagon is formed.
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Answer:
The correct answer is six equilateral triangles.
Step-by-step explanation:
The angle at the center of the hexagon is 360°, which is being divided into 6 equal parts. The value of each angle at the center is equal to 60°. All three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles.
Lewis has a net spendable income of $2,000 per month. He sets up the following transportation budget for himself.
3. Transportation (15% - 20%) 400
a. Car payments 210
b. Gas/Oil 120
c. Insurance 60
d. License/Registration 8
e. Taxes 2
f. Maintenance/Repair
What has Lewis done wrong?
What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.
How to budget effectively?
We are given;
Net spendable income = $2,000 per month
Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.
Now, from the recommended transportation budget of between 15% - 20% of the net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.
Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.
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Answer:
Step-by-step explanation:
Answer:
A. He budgeted more than the maximum recommended amount of money for transportation. PLATO (Im 100% sure
a toolbox has 10 screwdrivers and 6 wrenches. bella put 8 more wrenches in the toolbox. how many more wrenches are in the toolbox than screwdrivers
Answer:
4 more wrenches than screwdrivers
Step-by-step explanation:
6+8=14
14-10=4
therefore there are 4 more wrenches than screwdrivers.
:)
Answer:
14
Step-by-step explanation:
solution
Screwdrivers- 10
wrenches- 6
if bella adds 8 more wrenches.
= 6 + 8
=14
Now, there are 14 wrenches in the box
PLEASE HELP ASAP!!!!
The polar equation r=7sin(2θ) graphs as a rose.
What is the length of the petals of this rose?
Enter your answer in the box.
============================================================
Explanation:
r = distance from the origin (0,0) to a point on the polar curve
To find the length of the flower petal, we need to max out r (i.e. get it as large as possible).
Recall that sin(x) maxes out at 1, so that also applies to sin(2θ) as well.
Therefore, r = 7*sin(2θ) maxes out at r = 7*1 = 7 and this is the length of each petal. Basically it's the number out front of the sine term.
The graph is shown below. To type the symbol θ into desmos, you need to type "theta" without quotes.
In a stadium, 1,000 tickets were sold. Children’s tickets cost $2.50 each and adults’ tickets cost $5.00 each. The revenue collected for the game was $4,000. How many children’s tickets were sold? How many adults’ tickets were sold?
Answer:
400 children tickets and 600 adult tickets.
Step-by-step explanation:
children tickets in total cost=400x2.50
=1000
adult tickets in total cost=600x5.00
=3000
total cost is 4000
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
(Answer is not 10 cents) Tried it
At the beach, Nardia collected triple the number of seashells that Pierre did. Together, they collected 52 seashells. Which equations represents p, the number of seashells that Pierre collected. O 3p+p-52 52+p-3p At the beach , Nardia collected triple the number of seashells that Pierre did . Together , they collected 52 seashells . Which equations represents p , the number of seashells that Pierre collected . O 3p + p - 52 52 + p - 3p
Answer:
If Nardia is N and Pierre is P an equation that would represent this problem is 52-3n=p
PLEASE HELP!!!!! ASAP
[tex]\text{Let's factor this quadratic.}\\\text{ We can start by thinking of two numbers such that,}\\\text{ if they are multiplied together, the product is 9}\\\text{if they're added together, the sum is -10, the middle term.}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{These numbers are -9 and -1.}\\\text{Checkup::}\\\text{-9*(-1)=9 and -9+(-1)=-10. The answer is good}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Now, write these numbers as factors::}\\\text{(x-9)(x-1)=0 (make sure that the equation is \textbf{set to zero})}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Now we can solve these mini equations in terms of x::}\\\text{x-9=0; \, x=9}\\\text{x-1=0; x=1}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Our factors are:: \textsl{9 and 1}}[/tex]
Answer:
x=1
Step-by-step explanation:
For a given interest rate, simple interest varies jointly as principal and time. If $2000 left in an account for 4 yr earned interest of $280, how much interest would be earned in 6 yr?
Pls help and explain tyyy
Answer:
11) 195312
13) 5461
Step-by-step explanation:
11)
15÷(-3) = -5
(-75)÷15 = -5
375÷(-75) = -5
It’s clear that the common ratio of this geometric sequence is -5
Then using the sum formula for geometric sequences :
[tex]S_{11}=\left( -3\right) \times \frac{1-\left(-5 \right)^{8} }{1-(-5)} =-\frac{1}{2}\times(1-(-5)^8)=195312[/tex]
……………………………………………………
13)
[tex]S_{13}=1\times \frac{1-4^{7}}{1-4} =-\frac{1}{3} \times(1-4^{7})=5461[/tex]
Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 1 > 7/2
The graph is shown below:
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Rearrange unknown terms to the left side of the equation:
|x| > 7/2-1
Now,
|x| > (7-2)/ 2
Calculate the sum or difference:
|x| > 5/ 2
Convert the absolute inequality to standard inequality:
x> 5/2 or x< -5/2
Solve the inequality:
x> 5/2
Solve the inequality:
x< -5/2
Graph on number line is attached
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I need help!!!!
True OR False
------------------------
m - 63 = 37, m = 100?
Answer:
The answer is true!!!
Step-by-step explanation:
If m=100, 100-63=37 which is true.
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, correct about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b.
Sue's estimate is best because she throws it more times than Eric. Regarding the probability of Aadi obtaining tails, Statement C is accurate.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, and in business to create probability-based forecasts.
Ten biased coin throws are made by Eric. He is dealt 3 tails. Sue tosses a coin 50 times. I give her 20 tails.
Aadi will only toss the coin once. Regarding the probability of Aadi obtaining tails.
Sue's estimate is best because she throws it more times than Eric.
Hence option C is correct.
2)
An estimate for the likelihood that Aadi will receive tails using the findings of Eric and Sue. 3/20 will be the fraction of the form a/b.
The probability of the Aadi getting tails;
P(Aadi) = 3 / 360 = 1/120
P(Sue) = 20/50×36 = 1/90
Hence the fraction in the form of a/b willl be 4/3.
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The pipe has a length 29cm, internal diameter 6.5cm and thickness 0.5cm. What is the Volume
Answer:
Length of pipe = 21 cm
Internal diameter = 4 cm
Internal radius = \frac{4}{2} = 2 cm24=2cm
Thickness = 0.5 cm
Outer radius = 2+0.5=2.5 cm
Volume of pipe =\pi R^2 h - \pi r^2 hπR2h−πr2h
Volume of pipe =\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3
=\frac{22}{7} (2.5)^2 (21)-\frac{22}{7}(2)^2(21)=148.5 cm^3722(2.5)2(21)−722(2)2(21)=148.5cm3
Hence The volume is 148.5 cubic cm.
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The thickness of a metal pipe is 1.5cm. The inner diameter is 21cm. What is the volume of metal required for a pipe of length 7cm
Jean had $25.86 in her pocket. If shoes cost $7.50 a pair plus 10% of tax. How many pairs can she buy?
Answer:
3 pairs
Step-by-step explanation:
10% of 7.50 is 0.75. So one pair will cost $8.25. Now, 25.86/8.25 and you get 3 pairs
Answer:
[tex]\fbox {3 pairs}[/tex]
Step-by-step explanation:
Cost of 3 pairs with tax :
⇒ 7.50 × 3
⇒ 22.50
* Adding tax *
⇒ 22.50 + 22.5 (0.1)
⇒ 22.50 + 2.25
⇒ 24.75
∴ Since 24.75 is less than 25.86, Jean can buy 3 pairs of shoes.
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score? A) 20 B) 24 C) 32 D) 36
The highest score is 32.
What is mean?The mean refers to the average of a set of values.
Total players = 8
Mean= 14.5
Now, total score of 8 players,
= 14.5*8
=116
and, Total score for the remaining 7 players
= 12 * 7
= 84
Hence, the highest score is 116-84 =32
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help i am struggling
Answer: it's D
Step-by-step explanation:
one gym membership charges $10 a month with a sign-up fee of $45. Another gym does not charge patrons a sign-up fee but costs $25 a month. at what month is the total cost of both memberships the same?
After 3 months memberships will cost the same.
We have,
Cost of Membership of 1st gym = $ 10 per month
And, the Cost of the sign-up fee for 1st gym = $ 45
And,
Cost of Membership of 2nd gym = $ 25 per month
And, the Cost of the sign-up fee of the 2nd gym = $ 0
Now,
Let the number of months = m
So,
According to the question;
45 + 10m = 25m
⇒
25m - 10m = 45
15m = 45
m=3
So, After 3 months memberships will cost the same.
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Absolute value of (0, -4/5)
To answer this question, we need to know what absolute value is in the first place. ANSWERS ARE AT THE BOTTOM.
Absolute value represents how far something is from 0 in a number line.
For example, lets take 4.
4 is 4 units away from 0 on the number line, so the absolute value of 4 is 4.
Now lets look at another example, -4. -4 is also 4 units away from 0, just in the other direction. However, when calculating absolute value, we do not care about the direction. Therfore, the absolute value of -4 is also 4.
Now let's look at your problem.
You want the absolute value of 0 and -4/5
Following the same principle above about the distance from 0, here are your answers:
Absolute value of 0: 0
Absolute value of -4/5: 4/5
a hyperbola centered at the origin has vertices PLEASE HELP QUICK
The equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at (±[tex]\sqrt{98}[/tex], 0) is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].
Given, that a hyperbola centred at the origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at (±[tex]\sqrt{98}[/tex], 0)
What is hyperbola?In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
The formula for a hyperbola centred at the origin is [tex]\frac{x^2}{a^2} -\frac{y^2}{b^2 } =1[/tex]
The vertices are located at (±a, 0), so we have that the value of a is [tex]\sqrt{61}[/tex].
The foci are located at (±c, 0), where [tex]c^2 = a^2 + b^2[/tex].
So if we have that [tex]c = \sqrt{98}[/tex], we can find the value of b:
[tex]98 = 61 + b^2[/tex]
⇒ [tex]b^2 = 37[/tex]
⇒ [tex]b = \sqrt{37}[/tex]
So, the formula for this hyperbola is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].
Therefore, the equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at (±[tex]\sqrt{98}[/tex], 0) is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].
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Subtract the equations. Two-Variable Systems: Elimination
(screenshot of the question below)
Answer:
4x = 14
Step-by-step explanation:
7x + 2y = 17
– (3x + 2y = 3)
- - -
4x = 14
So, the correct option is A. 4x = 14
Hope it helps!
Express 10cm as percentage of 50cm
Answer:
10 cm is 20% of 50 cm.
Step-by-step explanation:
1) Put the "question" into fraction form: 10/50
2) Divide the numerator by the denominator (essentially changing the fraction into the decimal form): 10 ÷ 50 = 0.2
3) Multiply the quotient by 100: 0.2 × 100 = 20
4) Slap a "%" on the end and you're good to go!! : 20%
