Answers
Answer:
a=4
Step-by-step explanation:
Hi there!
We are looking for the value of [tex]a[/tex]. We know that [tex]b=11[/tex] and [tex]c=\sqrt{137}[/tex].
We'll start with the Pythagorean theorem:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Now, we'll subtract [tex]b^{2}[/tex] from both sides so that [tex]a^{2}[/tex] is by itself.
[tex]a^{2} =c^{2} -b^{2}[/tex]
We can now substitute our known values of [tex]b[/tex] and [tex]c[/tex] into the equation. Make sure to put the substituted values in parenthesis.
[tex]a^{2} = (\sqrt{137}) ^{2} -(11)^2[/tex]
Let's apply the exponents to the values we substituted in:
[tex]a^2=137-121[/tex]
[tex]a^2=16[/tex]
Now, to eliminate the exponent on [tex]a[/tex], we take the square root of both sides:
[tex]a=\sqrt{16}[/tex]
[tex]a=4[/tex]
Let me know if you have any questions!
Related Questions
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
I WILL MAKE YOU BRAINLEST AND I MADE IT WORTH 50 POINTS
Answers
explanation:
60 miles * 8 hours = 480 miles
75 miles * x hours = 480 miles
x hours = 480 miles / 75 miles
6.4 hours = 75 miles
Time taken with average speed of 75 mph is 6.4 hour.
Given that;
Time taken with average speed of 60 mph = 8 hour
Find:
Time taken with average speed of 75 mph
Computation:
Distance = Speed × Time
Total Distance = 60 × 8
Total Distance = 480 miles
Time taken with average speed of 75 mph = Total distance / Speed
Time taken with average speed of 75 mph = 480 / 75
Time taken with average speed of 75 mph = 6.4 hour
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can someone help me find the roots of 3x^2+36x+81=0
Answers
Answer:
-3 and -9 are the roots.
Step-by-step explanation:
Answer:
x = -9, -3
Step-by-step explanation:
Step 1: Write equation
3x² + 36x + 81 = 0
Step 2: Solve for x
Factor out 3: 3(x² + 12x + 27) = 0Factor quadratic: 3(x + 3)(x + 9) = 0Divide both sides by 3: (x + 3)(x + 9) = 0Solve individual roots: x = -9, -3Step 3: Check
Plug in x to verify it's a solution.
3(-9)² + 36(-9) + 81 = 0
3(81) - 324 + 81 = 0
243 - 243 = 0
0 = 0
3(-3)² + 36(-3) + 81 = 0
3(9) - 108 + 81 = 0
27 - 27 = 0
0 = 0
how many are 15 x 15 ?
Answers
Answer:
225
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
15
x15
/225
Jenny made 3 out of every 4 free throws she took. If she took 48 free throws, how many did she make?
Answers
3 / 4
? / 48
48/ 4 =12
And 3 times 12 = 36
So 3/4 = 36/48
Answer:
36 throws
Step-by-step explanation:
Well, here we go.
Jenny made 3/4 of the tosses.
Now, we need to know what is 3/4 of 48.
Did that word "of" trigger something?
If someone says "of" it automatically means multiplication.
Back to the question, though.
Since it's 3/4 of 48, we need to multiply 3/4 x 48
Let's do it!
[tex]\frac{3}{4}[/tex] × [tex]\frac{48}{1}[/tex]
You cancel out 4 and 48, making the equation simplified.
[tex]\frac{3}{1}[/tex] × [tex]\frac{12}{1}[/tex] = [tex]\frac{36}{1}[/tex]
Alright! Almost done.
[tex]\frac{36}{1}[/tex] is also equal to 36, and that's our answer.
What is 212.809 rounded to the nearest hundredth
Answers
Answer:
212.81
Step-by-step explanation:
212.809 rounded to the nearest hundredth is 212.81
plz mark as brainliest
Answer: To round 212.809 to the nearest hundredth consider the thousandths' value of 212.809, which is 9 and equal or more than 5. Therefore, the hundredths value of 212.809 increases by 1 to 1.
Taylor wants to make cookies for her homeroom class. The recipe calls for 3/4 cups of flour for every batch of 6 cookies. She needs to make 48 cookies for each student to get atleast 2 cookies each. How much flour will she need to make 48 cookies?
Answers
Answer:
6 cups of flour.
Step-by-step explanation:
Convert to standard form. 4 hundred thousand 16 thousands 4 hundred 21 tens 12 ones
Answers
Answer:
I think the question you gave is wrong
what is 15y - 18x = -30 in slope intercept form and simply fractions plz
Answers
Answer:
y = 6/5x - 30
Step-by-step explanation:
15y - 18x = -30
+ 18x + 18x
15y = 18x - 30
y = 18/15x - 30
y = 6/5x - 30
Can someone help me with this please?
ASAP
Answers
The total volume of the crayon is 4,650.2 mm³.
The total surface area of the crayon is 2,300.33 mm².
What is the volume and surface area of one crayon?The volume and surface area of one crayon is calculated by applying the following formula as follows;
The volume of the cylinder is calculated as;
V = πr²h
where;
r is the radius of the cylinder = 8.5 mm / 2 = 4.25 mmh is the height of the cylinderV = π x (4.25)² x (80)
V = 4539.6 mm³
The volume of the cone is calculated as;
V = ¹/₃ πr²h
V = ¹/₃ π(6.5/2)² x (10)
V = 110.6 mm³
Total volume of the crayon = 4539.6 mm³ + 110.6 mm³ = 4,650.2 mm³
The surface area of the cylindrical part of the crayon is calculated as;
S.A = 2πrh + πr²
S.A = 2π(4.25)(80) + π(4.25)²
S.A = 2,193.03 mm²
The surface area of the cone part of the crayon is calculated as;
S.A = πrs
where;
s is the slant heightr is the radius = 6.5 mm/2 = 3.25 mms = √ (10² + 3.25²)
s = 10.51 mm
S.A = π x 3.25 mm x 10.51 mm
S.A = 107.3 mm²
The total surface area of the crayon = 107.3 mm² + 2,193.03 mm² = 2,300.33 mm²
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What is 13.82 divided by 0.3
I need the answer.
Answers
Answer:
46.0666666667
Step-by-step explanation:
The solution to 7(b-1) <0 is:
b
Answers
Step-by-step explanation:
7b-7<0
7b<7
b<1
Hope it heps
Please mark as brainliest
Answer: A
Step-by-step explanation:
20 POINTS!!!!! NEED ASAP
Which numbers are solutions of 7a−6=a2+4
Choose exactly two answers that are correct.
2
5
7
10
Answers
Answer:
a = 5 ; a = 2Step-by-step explanation:
solve for a from the given equation: 7a - 6 = a² + 4
a² - 7a + 10 = 0
the equation can be solved using quadratic equation: ax² + bx + c = 0
x₁,₂ = - b ± √(b² - 4ac)
2a
where a = 1
b = -7
c = 10
now, plug in values into the formula:
a₁,₂ = - (-7) ± √(-7² - 4(1)10)
2(1)
a₁ = 7 + 3 = 10 = 5
2 2
a₂ = 7 - 3 = 4 = 2
2 2
therefore, the answer to the equation is:
a = 5 ; a = 2
How many solutions will the following system of equations have?
y= -4.2 + 2
y=-4x – 6
Answers
Answer: one solution
------------------------------
−3(2x−3)=−6x+9
Give the answer with the explanation and i will give branliest if you give explanation.
Answers
Answer:
All Real Numbers
Step-by-step explanation:
Expand
-6x+9=-6x+9
This holds true for all real numbers x.
Answer:
Infinite amount of solutions
Step-by-step explanation:
Step 1: Write equation
-3(2x - 3) = -6x + 9
Step 2: Solve for x
Distribute -3: -6x + 9 = -6x + 9Subtract 9 on both sides: -6x = -6xDivide both sides by -6: x = xHere, we see that x is infinite amount of solutions. We can plug in any value x and it would render the equation true.
identify the domain of the relation s={(2,4), (5,-3), (2,3), (0,-6),(1,0)}
Answers
Answer:
2, 5, 0, 1
Step-by-step explanation:
The domain is the first coordinate in a set of ordered pairs. This means that the domain is going to be the x coordinate. In this set of ordered pairs the domain is 2, 5, 0, and 1.
Hope This Helps :)
A student inherited $6,100 and deposits x dollars in American Savings. Write amp algebraic expression that represents the amount of money (in dollars) left to deposit in a City Mutual account.
Answers
Answer1=1=4 quick mafffths
Step-by-step explanation:
you thought you were gonna cheat
what is the value of the digit 2 in the number 67,523
Answers
Answer:
The digit 2 is worth 2 tens (i.e 20)
Step-by-step explanation:
It's in the tens place, thus 2 tens, meaning 20
Answer:
20
Step-by-step explanation:
HELP HELP “Translate the following statement in algebraic expressions.”
Problem:
One-half of the sum of 8
Answers
4+ x/2
Find product 5% x $38
Answers
Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity. I WILL GIVE BRAINLIESTTT!!!!
Answers
Answer:
Ok so here's your answer, so 3 = 1.73,
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
The square root of a negative number does not exist in the set of real numbers.
Hope this helps !!
Use the quadratic formula to find the roots: -2x^2 + 11x = 15
Answers
Answer:
[tex]x=3,\frac{5}{2}[/tex]
General Formulas and Concepts:
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Standard Form: ax² + bx + c = 0
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
-2x² + 11x = 15
-2x² + 11x - 15 = 0
a = -2, b = 11, c = -15
Step 2: Solve for x
Substitute: [tex]x=\frac{-11\pm\sqrt{11^2-4(-2)(-15)} }{2(-2)}[/tex]Exponents: [tex]x=\frac{-11\pm\sqrt{121-4(-2)(-15)} }{2(-2)}[/tex]Multiply: [tex]x=\frac{-11\pm\sqrt{121-120} }{-4}[/tex]Subtract: [tex]x=\frac{-11\pm\sqrt{1} }{-4}[/tex]Evaluate: [tex]x=\frac{-11\pm1}{-4}[/tex]Simplify: [tex]x=3,\frac{5}{2}[/tex]divide the product of 10 and 8 by the difference of 12 and 2
Answers
Challenge An arts academy requires there to be 3 teachers for every 66 students and 6 tutors for
every 66 students. How many students does the academy have per teacher? Per tutor? How many
tutors does the academy need if it has 88 students?
Answers
Answer:
Answer:
a). Number of students per teacher= 22 students
b). Number of students per tutor=11 tutors
c). Number of tutors it needs for 132 students =12 tutors
Step-by-step explanation:
An arts Academy requires that;
6 teachers for every 132 students
4 tutors for every 44 students
a). Number of students per teacher
6 teachers for 132 students, meaning for every teacher there are (132/6)=22 students
b). Number of students per tutor
4 tutors for every 44 students, meaning for every tutor there are (44/4)=11
students
c). Number of tutors it needs for 132 students
If for every 11 students they need i tutor, therefor for 132 students they will need= (132/11)=12 tutors
Step-by-step explanation:
FIND THE FACTORS
32d4+8d
Answers
d
8
d
out of
32
d
4
+
8
d
32
d
4
+
8
d
.
8
d
(
4
d
3
+
1
)
Answer:
8d(4d^3 + 1)
Step-by-step explanation:
32d^4 + 8d
~Apply exponent rule [ x^y+z = x^yx^z ]
32d^3d + 8d
~Rewrite 32
8 * 4d^3d + 8d
~Factor out common term
8d(4d^3 + 1)
Best of Luck!
-8 7/8 - 1/8 find the difference. You may use a number line to be helpful
Answers
Answer:
-9
Step-by-step explanation:
Answer:
the answer is -9
Step-by-step explanation:
hope this helped
the numbers in box 1 is 1:2 1:6 2:1 6:1 the numbers in box number 2 are 4 12 24 32.
Answers
Answer:
how does the melody go again
Step-by-step explanation:
when i drop...
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in simplest form that represents the amount (in dollars) it costs to adopt x dogs.
An expression is (
) dollars.
Question 2
b. What does the coefficient of the expression in part (a) represent?
the total cost (in dollars) of adopting one dog
the total amount (in dollars) the veterinarian is paid when one dog is adopted
the total cost (in dollars) of adopting x dogs
the total amount (in dollars) the animal shelter earns when x dogs are adopted
Answers
Answer:
1=1 divided 56 789
Step-by-step rights
7x+4+2k; x=5 and k=-8
Answers
▪ Answer:
23
▪ Step-by-step explanation:
Hi !
7x + 4 + 2k =
replace x = 5 ; k = - 8
= 7(5) + 4 + 2(-8)
= 35 + 4 - 16
= 39 - 16
= 23
Good luck !
in 5/6÷4/5 the blank is 4/5
Answers
Answer:
25/24=1 1/24
Step-by-step explanation:
which process in the water cycle that is not driven by the force of gravity? *
A. infiltiration
B. precipitation
C. evaporation
D. run off
Answers
Answer : The answer is option c evaporation
The process in the water cycle that is not driven by the force of gravity is evaporation.
The water cycle is a series of processes that transport water between the earth's water bodies to the atmosphere, and land, including precipitation in the form of rain as well as snow, evaporation, and transpiration to restore water to the atmosphere.
The force of gravity is a universal force of attraction that acts on any matter coming towards the earth's surface.
From the given options, the only option that is not driven by the force of gravity is evaporation.
This is because water substances evaporate upward and not downward the earth's surface.
Learn more about the water cycle here:
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