Answers
y^2 +6^2 = 12^2
y^2 +36 = 144
y^2 = 108
sqrt(108) = 10.392 = 6sqrt(3)
Answer is B 6sqrt(3)
Related Questions
Complete the equation of the line through (4,-8) and (8,5).
Use exact numbers.
y=_______ Topic:
Slope-intercept from two points.
Answers
y = mx + b
b= y - mx
b = -8 - (13/4) (4)
b = -8 -13
b = -21
equation
y = 13/4x - 21
The equation of the line that passes through (4, -8) and (8, 5) in slope intercept form is y = 13 / 4 x - 21
Slope intercept form of a lineThe slope intercept form of a line is represented as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore,
(4, -8) and (8, 5)
m = 5 + 8 / 8 - 4
m = 13 / 4
Therefore, using (8, 5)
5 = 13 / 4(8) + b
5 = 26 + b
b = 5 - 26
b = -21
Hence, the equation is as follows:
y = 13 / 4 x - 21
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solve for v
160=11-v
Answers
v = -149
Hope this helps
Which postulate or theorem proves that △ RNM and △ QNP are congruent?
A) HL congruence theorem
B) SAS congruence postulate
C) AAS congruence theorem
D) SSS congruence postulate
Answers
Answer:
B) SAS congruence postulate
Step-by-step explanation:
We have marked that RN and NQ are congruent. We also have marked that MN and NP are congruent.
∠MNR≅∠QNP because they are vertical angles. Vertical angles are opposite angles that share only a vertex; these are vertical angles so they are congruent.
This gives us two sides and an included angle; this is SAS.
B) SAS congruence postulate proves that △ RNM and △ QNP are congruent
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know two triangles are congruent when we have at least three respective sides or angles or both that are same as the other sides or angles of a triangle.
We also know that vertically opposite angles have the same measures.
here the vertically opposite angles are ∠RNM and ∠PNQ.
It is given that side RN is congruent to side NQ and side PN is congruent to side MN.
∴ It is proven by SAS congruence postulate.
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What is the value of X
Answers
180 - 70 - 42 = 68
x = 68 degrees
If w= the weight of trout. Which algebraic expression represents the phrase below?
Answers
Product means multiplication.
Given w= weight of a trout.
So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.
So, product of 16 and w can be written as 16*w or simply 16w.
Hence, B is the correct choice.
Answer:
B
Step-by-step explanation:
Hope this helps!
A triangle has three different integer side lengths and a perimeter of 20 units. What is the max length of any one side?
Answers
Final answer:
Using the Triangle Inequality Theorem and given a perimeter of 20 units for a triangle with integer side lengths, the maximum length of one side is found to be 15 units.
Explanation:
To determine the maximum length of one side of a triangle with integer side lengths and a perimeter of 20 units, we must apply the Triangle Inequality Theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Given a perimeter of 20 units, if we denote the longest side as x, and the other two sides as y and z, we must satisfy two conditions:
x + y + z = 20 (perimeter condition)
x < y + z (Triangle Inequality Theorem)
Since the triangle has different integer side lengths, the largest x can be is when y and z are consecutive integers because this allows for the largest possible x. If we try the smallest integers, 1 and 2, for y and z, their sum is 3. To satisfy the triangle inequality, the largest possible integer for x would be 20 - 1 - 2 = 17. However, this does not satisfy the inequality x < y + z, because 17 is not less than 3.
Next, we increase y and z to 2 and 3, respectively, which sums up to 5. Thus, for x, we have 20 - 2 - 3 = 15. Since 15 is less than 2 + 3, it satisfies the condition required by the Triangle Inequality Theorem. Therefore, the maximum length of any one side of the triangle is 15 units.
How to solve nonlinear equations using iteration method?
Answers
What is the maximum length possible for her blanket?
Answers
It looks like you are missing some information
Answer: c: 60
Step-by-step explanation:
i did the test
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 35° more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
Answers
I hope this helps.
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The function f(x) is graphed on the coordinate plane. What is f(−4) ?
Answers
y = 4 where x = -4.
That's the same as saying: "what is the y-value when x = -4?)
f(-4) = y = 4
In beijing in 2008 the womens 3,000 meter steeplechase became an olympic event what is the distence in kilometer
Answers
[tex] \frac{3000}{1000}=3 [/tex]
Answer: 3 km
What would '6 meters to 60 meters' be in a ratio
Answers
Consider the equation below. log4 (x+3)=log2 (2x). Which system of equations can represent the equation?
Answers
[tex]log_{4} (x+3) = \frac{log_{2} (x+3)}{log_{2}4} [/tex]
Therefore, given
log₄(x+3) = log₂(2x), obtain
[tex] \frac{log_{2}(x+3)}{log_{2}4}=log_{2} (2x) \\ log_{2}(x+3) = log_{2}4 log_{2}(2x) \\ x+3 = (2x)^{log_{2}4} [/tex]
Because
log₂4 = log₂ 2² = 2 log₂ 2 = 2, therefore
x + 3 = (2x)² = 4x²
4x² - x - 3 = 0
This factorizes into
(4x + 3)(x - 1) = 0
Answer:
4x² - x - 3 = 0
or
4x + 3 = 0, and
x - 1 = 0
The admission fee at an amusement park is $2.00 for children and $5.60 for adults. On a certain day, 352 people entered the park, and the admission fees collected totaled 1280 dollars. How many children and how many adults were admitted?
Answers
During the 2005 football season, Team Tackle beat Team Sack by 5 points. If their combined scores totaled 89, find the individual team scores.
Answers
Doris put $4000 in a 2-year CD paying 6% interest, compounded monthly. After 2 years, she withdrew all her money. What was the amount of the withdrawal?
a. 4000.00
B. $4214.41
C. $4508.64
D. $4448.13
Answers
Which point is an x-intercept of the quadratic function
f(x) = (x – 8)(x + 9)?
Answers
x-intercept means f(x) = 0
(x-8)(x+9) = 0 ⇒ x = 8 or x = - 9
There are two points which are x-intercepts. They are (8,0) and (-9,0).
Vectors...
Let u = <-3, -5>, v = <-3, 1>. Find u + v.
Answers
-5 + 1 = -4
vector = < 0,-4 >
Answer:
u + v = <-3 + -3, -5 + 1> = <-6 , -4>
u + v = <-6 , -4>
Step-by-step explanation:
I hope this helped you.
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If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)
Answers
Time for Katarina = (Dominick's Time * Total Time) / (Dominick's Time - Total Time)
Time for Katarina = (8 * 5) / (8 -5)
Time for Katarina = 40 / 3
Katarina's Time = 13.3333 hours
Answer:
answeerits (D) on ed
Step-by-step explanation:
A hexadecimal number is a number written in the base 16 number system.â
a. True
b. False
Answers
its made out of 16 characters
from 1-16 and from A-F
A hexadecimal number is a number written in the base 16 number system which is true.
What is the number system?A way of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It describes the mathematics and algebraic structure of the numbers and gives each number a distinct representation.
The types of the number system are as follows:
Decimal Number System - There are only ten numbers and the base is 10.Binary Number System - There are only two numbers and the base is 2.Octal Number System - There are only eight numbers and the base is 8.Hexadecimal Number System - There are only sixteen numbers and the base is 16.A hexadecimal number is a number written in the base 16 number system which is true.
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Karen's penny bank is 1/3 full. After she removes 240 pennies, it is 1/9 full. How many pennies can Karen's bank hold?
Answers
2/9 of the capacity if 240 pennies
2/9 * x=240
x=240*(9/2)=1080
the penny bank can hold 1080 pennies
The difference between the bank being 1/3 and 1/9 full equals 240 pennies, so 1/9 of the bank's capacity equals 120 pennies. So, Karen's bank can hold a total of 1080 pennies.
Explanation:This is a mathematics problem dealing with fractions and subtraction. From the problem, we understand that after Karen removes 240 pennies, the bank is 1/9 full from previously being 1/3 full. So, the difference between 1/3 and 1/9, which is 2/9, accounts for the 240 pennies that were removed.
To find out the total capacity of the penny bank, you need to consider that 1/9 (the fraction representing the bank's fill level after removal of the 240 pennies) is equivalent to 120 pennies (half of 240, as 2/9 of the capacity is 240 pennies). This means that the total capacity of the bank (comparable to 9/9 of the fraction) is 120 pennies times 9, which equals to 1080 pennies.
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the length of a rectangle is 2 cm less than 7 times the width.the perimeter is 60 cm. find the width and length
Answers
length = 26
4 and 26 are the width and length
WHAT IS THE EQUATION OF POINT SLOPE FORM
Answers
y-y2= m(x-x2)
hope that helped
A rectangle has length x+9 and width 2x-1 what are the areas of the rectangle
Answers
a=(x+9)(2x-1) <--- Use FOIL
a=2x²-x+18x-9
a=2x²+17x-9
Hope I helped :)
Jasmine has $15 dollars and saves $2.50 every month. Radha has $0 and saves $3.50 every month. Jasmine’s savings after x months can be represented by the function f(x) = 2.5x + 15. Radha’s savings after x months can be represented by the function g(x) = 3.5x. a. After how many months will they both have the same amount in savings? Find the values of x for which f(x) = g(x). b. Explain how to check your work. c. Explain what the graph of the two functions would look like.
Answers
2.5x+15 = 3.5x
subtract 2.5x from both sides
15 =x
15 months
What is the length of the hypotenuse of an isosceles right triangle with an area of 32?
Answers
Which graph represents the inequality y<−1+2x?
Answers
Explain how to write and evaluate an algebraic expression that represents the situation. The blueberries were divided equally into six bowls. Evaluate when b = 210.
Answers
The variable is the number of blueberries, the operation is division, and the constant is 6. Write the division expression as the fraction, b/6 . To evaluate, substitute 210 in for the variable, b, and simplify. 210 divided by 6 is 35. So each bowl has 35 blueberries.
The algebraic expression can be written in terms of the variable b and and evaluated as b/6 = 210/6 = 35
According to the question;
The blueberries were divided equally into six bowls;Hence, the algebraic expressions is;
b/6where, b = total number of blueberries
Hence, when b= 210
The number of blueberries in each bowl is; 210/6 = 35
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N a contest, a total of $12,000 was divided among the first, second, and third-place winners in the ratio of 3 to 2 to 1, respectively. how much did the first-place winner receive
Answers
The first Winner
3/6 × 12,000 = $6,000
The Second Winner
2/6 × 12,000 = $ 4,000
The Third Winner
1/6 × 12,000 = $2,000
A bakery makes donuts at the rate of 225 per hour. How long will it take the bakery to fill an order of 500 donuts?
Answers
I hope you found this helpful! C:
It will take them ~2.22 hours to make 500 donuts.