Answers
Answer:
x = √29Step-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = 4/2 = 2
b = 5
c = x
plugin values into the formula:
2² + 5² = x²
x = √(2² + 5²)
x = √29
The length of the side x of the isosceles triangle is x = √29 units
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
The measure of side AB = AC = x
The measure of BC = 4 units
Now , let AD be the perpendicular bisector of the triangle and AD = 5 units
where the measure of BD = measure of CD
And , right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the measure of x = √ ( AD )² + ( BD )²
x = √ ( 25 ) + ( 4 )
x = √29 units
Hence , the length of side of triangle is x = √29 units
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Related Questions
Rewrite 14 1/3 as an improper fraction
Answers
Answer:
Step-by-step explanation:
((14×3) + 1 )/3 = (43/3)
14 1/3 can be expressed as 43/3, which is an improper fraction.
To rewrite 14 1/3 as an improper fraction, we need to convert the mixed number into a fraction.
First, we multiply the whole number (14) by the denominator of the fraction (3) and add the numerator (1). This gives us the numerator of the improper fraction. The denominator remains the same.
14 × 3 = 42
Next, we add the numerator (1) to the result we obtained above.
42 + 1 = 43
Therefore, the improper fraction equivalent to 14 1/3 is 43/3.
In the fraction 43/3, the numerator (43) represents the total number of parts we have, and the denominator (3) represents the size of each part. It indicates that we have 43 equal parts of size 1/3.
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How many different ID cards can be made if there are six digits on a card and no digit can be used more than once?
Answers
Answer:
10
Step-by-step explanation:
Jim has 3 pairs of pants
and 2 shirts. How many
different ways can he
dress?
Answers
Answer:
2 to 5 different ways
Step-by-step explanation:
Answer:
12 different ways he can dress
Step-by-step explanation:
Let The Pant be A and Shirt be B
So, we have 3 pair of pants i.e., 6 Pants
Here, We assumed that the pant be A then 6 pants be
A₁ A₂ A₃ A₄ A₅ A₆
Now, For Shirts
We have 2 Shirts
But we assumed that the Shirt be B then 2 Shirts be
B₁ B₂
Then, We will make pair of A and B
A₁ = B₁
A₂ = B₁
A₃ = B₁
A₄ = B₁
A₅ = B₁
A₆ = B₁
A₁ = B₂
A₂ = B₂
A₃ = B₂
A₄ = B₂
A₅ = B₂
A₆ = B₂
Thus, 12 different ways he can dress
-TheUnknownScientist
Graham decided to play football this year instead of getting a part-time job. Last year he made about $1,100 during football season. He also spends about $9 on eating out after each game. His team plays a 10-game season. What is his opportunity cost of playing football?
Answers
10,091 because it's a 10 season football season and he spends 9 dollars every game
Step-by-step explanation:
ez
The opportunity cost of playing football for Graham is $1,190.
What is the Opportunity cost?The opportunity cost of certain activity in microeconomic theory is the value or gain given up by engaging in that activity in comparison to engaging in an alternative activity. Simply put, if you do a bone activity, you forfeit the potential to choose another.
Given that Graham made $1,100 during football season. Also, Graham spends about $9 on eating out after each game and his team plays a total of 10 games in a season.
Therefore, the opportunity cost of playing football for Graham is,
Opportunity cost
= Amount that Graham would have made in a part-time job + Total cost of playing football season
= $1,100 + (Number of games × Amount spend in a single game)
= $1,100 + (10×$9)
= $1,100 + $90
= $1,190
Hence, the opportunity cost of playing football for Graham is $1,190.
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9err9jwihwr9ihwrighiwrrghihsrhrgishfgisif10101
Answers
Answer:
yes
Step-by-step explanation:
...
Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer’s fixed cost and the rate per student served?
Answers
Step-by-step explanation:
the price charged for 100 students reflects the cost per student that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
...
We can check this by substituting in the other equation.
Does 150*6 + 150 = 1050?
150*6=900
900+150 = 1050.
Yes, it does
...
We can express this relationship by the equation:
y = mx + b
where
y = total cost
m = $6 per student
x = number of students
b = fixed costs = 150
y = 6x + 150
The caterer’s fixed cost and the rate per student served is $6 and $150
How to choose what quantity to multiply the first equation?This method is actually called method of elimination to solve a system of linear equations.
We make one specific variable's coefficients of equal magnitude so that we can subtract or add the equations and eliminate that variable to make it easy to get the value of the other variable which will then help in getting the value of the first variable (if working in dual variable system).
If we have equations:
[tex]a_1x + b_1y = c_1\\a_2x + b_2y = c_2[/tex]
then, if we want to eliminate variable x, then we have to multiply equation 1 with
[tex]-\dfrac{a_2}{a_1}[/tex]
which will make coefficient of x in first equation as
[tex]a_1 \times - \dfrac{a_2}{a_1} = -a_1[/tex]
Then adding both equation will eliminate the variable x.
Given;
Cost of 100 students= $750
Cost of 150 students= %1050
Let the fixed cost of caterer be x
and the cost per student be y
x+100y=750...(1)
x+150y=1050...(2)
solving the above equations;
50y=300
y=6
x=750-600=150
The fixed cost is $150, while the per-student cost is $6.
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I’m stuck but the next drop down is above or below
Answers
Answer:
less; below
Step-by-step explanation:
We can change both fractions to improper fractions first for easier comparison.
-[tex]\frac{7}{5}[/tex] = -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{5}{5}[/tex] -
-1[tex]\frac{1}{5}[/tex] = -[tex]\frac{6}{5}[/tex]
As you can see, -[tex]\frac{7}{5}[/tex] has a higher absolute value but both fractions are negative so it has a lesser value than -[tex]\frac{6}{5}[/tex] and thus would also be below -[tex]\frac{6}{5}[/tex].
This question is designed to be answered without a calculator.
Use this graph of function f.
For how many values of x is f not differentiable over the interval (–4, 4)?
Answers
Answer:
4
Step-by-step explanation:
In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
The method of determining the derivative of an implicit function by differentiating each term separately, expressing the derivative of the dependent variable as a symbol, and solving the resulting expression for the symbol.
here,
The function from observation seems to be a discontinuous function,
And the function is not differentiable at x = -1, 0, 1, and 3.
So there are 4 points in the interval (-4, 4) where the function is not differentiable.
Thus, In the graph of the function, between the interval (-4, 4), there are 4 values of x for which the given function is not differentiable.
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3. Write the equation and solve for: Five subtracted from the product of six point
and a number is the same as thirteen. (Use the letter "n" as your variable)
Answers
Answer:
*correct me if I'm wrong with the equation setup but I believe this is your answer.*
( 6 × n ) - 5 = 13
( 6 x n ) = 18
n = 3
2= f/8 f= solve the equation
Answers
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f
Us
What is the mole fraction of KCl in an
aqueous solution that contains
26.3% KCI (weightweight %)?
Answers
Answer:
0.0794%
Subtract the 26.3 from 100 and get the amount for water giving you 73.7
Divide both from their molar masses
26.3/74.55=0.3528
73.7/18.016=4.0908
Add both answers, 0.3528+4.0908=4.4436
Divde the KCl total from the the total moles which gives you your final amswer
0.3528/4.4436=0.0794
Answer: 0.0794
Step-by-step explanation:
Find the distance between a and b
Answers
Answer:I believe it is 2.4
Step-by-step explanation:
Which of the following angles would not be congruent to the measure of ∠7? HELPPP!!!
Answers
Answer:
6, 2, & 3
Step-by-step explanation:
I hope that this answer helps, feel free to ask questions
2/3(1 + n) = -1/2 What is the value of n
will mark brainliest
Answers
Answer:
n = -1.75
As a fraction = -7/4
Step-by-step explanation:
What is the sum of three hundredths plus two?
Answers
Add two-2
.03 + 2
2.03
I feel like this isn’t the answer your looking for, perhaps you worded the question wrong?
Answer:
2.03
Step-by-step explanation:
Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i
Answers
Answer:this did not work for me
Step-by-step explanation:
“How mathematics is involved in Merchandising?”
Answers
Answer:
You have to have the number of items you paid for and know what numbers you're calculated at checkout.
Put -4.8, -4/1 10, and -17/4 in order from LEAST TO GREATEST
Answers
A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
(a) what would the variable (x) represent in this problem?
(1) the cost of the uniforms
(2) the number of basketballs purchased
(3) The number of uniforms purchased
(b) what is the total cost of the equipment and uniforms? |____________| (no symbols)
(c) write an equation to represent this problem. use x as your variable. |___________|
Answers
Answer:
Step-by-step explanation:
Rank the following tools for measuring length from those that give the least precise results to the most precise results.
Highway mile marker
A yardstick
A length of a person's foot
A five - foot long branch from a tree
Answers
Answer:
option 3,4,2,1
Step-by-step explanation:
Highway mile marker
A five - foot long branch from a tree
A length of a person's foot
A yardstick
Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?
A$588
B$480
C$546
D$1008
Answers
Answer:
c?
Step-by-step explanation:
Answer:
C.546
Step-by-step explanation:
60×8=480+ 66=546
I share wwe smackdown
Answers
Answer:
Ok..
Step-by-step explanation:
Answer:
It’s fake
Step-by-step explanation:
50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Answers
Hope this helps
if someone answers this correctly I'll give em 100 points
Answers
Sorry if incorrect but hope this helps!
Merry Christmas✨❤️
Tommy had a rectangular strip of paper that is 21 cm long. If he cuts it into smaller pieces, each 2 1/3 cm long, how many pieces of paper will he have?
Answers
Answer:
The answer is 9.
Explanation: 21÷ 2 1/3= 9
Answer:
9
Step-by-step explanation:
Which area on the map is home to the most petroleum fields in Europe?
A) A
B) B
C) C
D) D
Answers
Answer: I think the answer is D
Step-by-step explanation:
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
⚠️if you answer correctly I will give you brainlyest⚠️
Answers
Answer:
They are parallel, they will never intersect.
Step-by-step explanation:
Notice that they have exactly the same steepness, which means their slopes are identical. The only difference between the two lines is the y-intercept. If we shifted one line vertically toward the y-intercept of the other, they would become the same line.
This is the simplest form because you can’t combine x with 6.
Which expression is equivalent to 5(2y + 8) − 4y ?
A. 6y + 40
B. 6y + 8
C. 14y + 40
D. 14y + 8
CMON PLEASE ITS TIMED.
Answers
Answer:
I also think its A.
Step-by-step explanation:
10y + 40- 4y
(10y-4y)+40
6y+40
Solve the distance, rate, time problem using a system of two linear equations in two variables.
A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.
Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.
Answers
Answer:
960 would be correct becasue it says it in the problem.
1. A random sample of 200 items yields 35 that are non-conforming. Find the 90% confidence interval for the true population proportion non-conforming.
Answers
Answer:
(0.131) , (0.044)
Step-by-step explanation:
Given:
Total sample n = 200
Yield x = 35
Confidence level = 90%
Find:
Proportion non-conforming
Computation:
Proportion p = x / n
Proportion p = 35 / 200 = 0.175
Non Proportion q = 1 - p
Non Proportion q = 0.825
So,
z value of 90% is 1.64
So,
Proportion non-conforming
p ± [z√pq/n]
0.175 ± [1.64√(0.175)(0.825)/200
(0.131) , (0.044)
Step-by-step explanation:
what should she do do next yo find √42 to the nerest hundredth