Answers
Step-by-step explanation:
[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]
Related Questions
What is the median test score? A) 2.5 B) 2 Eliminate C) 3 D) 5
Answers
Answer:
2.5
Step-by-step explanation:
A shelf for bowling balls can support 100 pounds. If a red bowling ball weighs 6 pounds and a blue bowling ball weighs 10 pounds, can the shelf support 4 red bowling balls and 6 blue bowling balls? Write the total weight of the bowling balls.
Answers
Answer:
yes
84
Step-by-step explanation:
Answer:
yes, 84 pounds
Step-by-step explanation:
4 red balls would be 24 pounds
6 blue would be 60 pounds
Lines a and b are perpendicular. Which statements below must be true? Select all that apply. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. When the slopes of lines a and b are multiplied, the product is −1. Line a and line b intersect to form four right angles. The slopes of lines a and b are equal. The slopes of lines a and b are opposites
Answers
Answer:
When the slopes of lines a and b are multiplied, the product is −1.
Line a and line b intersect to form four right angles.
Step-by-step explanation:
Given
Perpendicular lines a and b
Required
Select the true statements
Represent the slope of line a with [tex]m_1[/tex] and the slope of b with [tex]m_2[/tex].
The condition for perpendicularity is:
[tex]m_1 * m_2 = -1[/tex]
Solving further:
[tex]m_1 = -\frac{1}{m_2}[/tex]
To solve further, we need to analyze each of the given options
(a) This is not true because the slope of perpendicular lines are not reciprocal
(b) This is also not true because perpendicular lines do not necessarily have to intersect at their midpoints
(c) This is true because of the condition stated above: [tex]m_1 * m_2 = -1[/tex]
(d) This is also true because perpendicular lines form right angles when they intersect
(e) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
(f) This is not true because of the condition stated above: [tex]m_1 = -\frac{1}{m_2}[/tex]
The product of the slope of the perpendicular lines is negative of one. Then the correct options are B and C.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Lines a and b are perpendicular.
Then the product of the slope of the perpendicular lines is negative of one. That is given as
[tex]\rm m_1*m_2 = -1[/tex]
a. The slopes of lines a and b are reciprocals Line a and line b intersect at their midpoints. This is false.
b. When the slopes of lines a and b are multiplied, the product is −1. This is true.
c. Line a and line b intersect to form four right angles. This is true.
d. The slopes of lines a and b are equal. This is false.
e. The slopes of lines a and b are opposites. This is false.
More about the linear system link is given below.
https://brainly.com/question/20379472
Solve for X and round to the nearest tenth
Answers
Answer:
x= 15.4
Step-by-step explanation:
tanx = opp/adj
tan52° = x/12
x= tan52° * 12
x= 15.359
round -> 15.4
The circumference of a circle is 9 cm. What is the diameter?
Answers
Answer: [tex]\frac{9}{\pi } \\or\\2.86[/tex]
Step-by-step explanation:
[tex]C=\pi d[/tex]
[tex]9=\pi d\\\frac{9}{\pi } =d\\[/tex]
Describe and correct the error
Answers
Answer:
ok
Step-by-step explanation:
Sari ran for class president. Each student in her class voted one timer Sari won 25% of the student votes
If Sari received 60 votes, how many students voted altogether?
Answers
Answer: 240 students
Step-by-step explanation:
25%=60
25*4=100
60*4=240
100%=240
Answer:
240 votes
Step-by-step explanation:
25% - 60 votes
100% - x
x = (100×60)÷25 = 240 (votes)
please help asap - ill give brainiest
Answers
Answer:
this is your answer. look it once
Can you guys help me please ASAP!!!
Answers
Answer:
C
Step-by-step explanation:
2^0+4=5
2^3 +4=12
2^7+4=132
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
Answers
3.7 as a fraction simplified
Answers
Answer:3 7/10
Step-by-step explanation:
:)
Lanna's dad was teaching her about the stock market. He has 100 shares of Company A stock
valued at $45 a share and 250 shares of Company B stock valued at $22 a share. How much is
his stock worth?
Answers
Answer: $10,000
Step-by-step explanation:
Lanna's dad stock worth will be the value of the total shares in both company A and company B.
Value of stock in company A = 100 × $45 = $4500
Value of stock in company B = 250 × $22 = $5500
Total stock worth = $4500 + $5500 = $10,000
Square root of -24 to the nearest integer
Answers
explanation: sq rt of -24 equals 4.8
Find the first four terms of the sequence given by the following.
an= 9(2)^-1,
n=1, 2, 3...
Answers
Answer:
See this attachment...
Step-by-step explanation:
Your answer dear
hope it's helpful to you
Find the value of the lettered angles in these diagram
Answers
Answer:
1. m = 65°
x = 30°
2. x = 40°
Step-by-step explanation:
1. Since the figure is an isosceles triangle, m = 2x - 5
180 - 50 = 130 (Total degree for both m and 2x - 5)
130 ÷ 2 = 65 (m and 2x - 5 angle degrees)
65 - 5 = 60 (2x)
2 x = 60°
x = 60 ÷ 2 = 30°
2. I forgot the parallel rule for question 2, but I think X and 40° is parallel to each other?
write the equation (3,5) in standard form
Answers
Answer:
We can write out 3! (three factorial) as 3x2x1, and we can write out 5! as 5x4x3x2x1. This means that, since 3x2x1 is on the top and the bottom of the fraction, it cancels out. This leaves us with 1 on top, and 4x5=20 on the bottom.
Step-by-step explanation:
can you please help me with my question
Which of the following is used to inscribe a square in a circle?
A. Copy the chord that runs through the center of the circle.
B. Construct a perpendicular bisector of the diameter of the circle.
C. Use the radius length to find four vertices inscribed on the circle.
D. Construct a right angle using the radius of the circle and a tangent line.
Answers
Answer:
The option which is used to inscribe a square in a circle is option B
B. Construct a perpendicular bisector of the diameter of the circle
Step-by-step explanation:
The steps required to inscribe a square in a circle are;
1) Draw the circle using a compass
2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y
3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B
The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle
Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.
a school has 36 fish swamps 4/6 of them's are boys how much are girls
Answers
Answer:
12 fish are girls
Step-by-step explanation:
multiply 4/6 by 6 which would be 24/36. Then substract 24 from 36 and you get 12.
Answer:
12 are girls
Step-by-step explanation:
Reason that since 4/6 of them are boys then that means 2/6 are girls
then convert 2/6 to decimal form which is 0.3333....
then multiply that by 36 which gives us 12
you could also go the roundabout way and convert 4/6 to decimal form and take that value and multiply it by 36 which gives us 24 then subtract 24 from 36 which still gives us 12
hope this makes sense
have a great day luvs <3
Help!
This is for Patterns, Functions, and Algebra!
Answers
you didn't ask the question
Whats The quotient of 1332 divided by 9
Answers
Answer:
148
Step-by-step explanation:
=1332÷9
=148
Answer:
148
Step-by-step explanation:
Write and evaluate the expression. Then, complete the statements. nine more than the product of seven and a number, decreased by three The expression to model the situation is . The value of the expression when n = 8 is .
Answers
Answer:
9 + 7n - 3 ;
61 ;
Step-by-step explanation:
Let the number = n
9 + 7*n - 3
Hence, the expression is :
`9 + 7n - 3
If the number,n = 8
The value of the expression becomes :
9 + 7(8) - 3
8 + 56 - 3
= 61
Answer:
nine more than the product of seven and a number, decreased by three
The expression to model the situation is
✔ 9 + 7n – 3
.
The value of the expression when n = 8 is
✔ 62
.
Step-by-step explanation:
on edge
-1/4n-7<5
Answers:
-48
-20
0
20
48
Answers
Answer: -1/4n-7<5 = -48
A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always
Answers
Answer:
2.9195
Step-by-step explanation:
To find the time we need to equate the function the zero and solve for t:
[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]
Using the general formula we have that:
[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]
then:
[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]
Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.
Let AB be the directed line segment beginning at point A(5 , 5) and ending at point B(19 , 16). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.
Answers
Answer:
(9, 57/7)
Step-by-step explanation:
Given the coordinates A(5 , 5) and B(19 , 16), divided by the point P in the ratio 5:2, to get the coordinate of P, we will use the formula;
P(X, Y) = {{ax1+bx2/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
Substitute the given values
X = 5(5)+2(19)/5+2
X = 25+38/7
X = 63/7
X = 9
Similarly;
Y = 5(5)+2(16)/5+2
Y = 25+32/7
Y = 57/7
Hence the coordinate of point P is (9, 57/7)
if this is the given data 24, 12, 19, 26, 19, 20, 15, 17 what is the median
Answers
Answer:
19
Step-by-step explanation:
Rearranging the number in ascending order,
12,15,17,19,19,20,24,26
Median = The average of the 4th and 5th number
[tex] = \frac{19 + 19}{2} \\ = 19[/tex]
Answer:
19
Step-by-step explanation:
so first you have to order the values from least to greatest.
12, 15, 17, 19, 19, 20, 24, 26
there are 8 terms (note that 2 of them are 19)
n = 8
median = (n + 1) ÷ 2
=(8 + 1)/2
=9/2 = 4.5
it's 19 because the median falls between those two (19) data points.
Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. How
old are Janine and Ingrid?
Answers
Answer:
Janine is 28. Ingrid is 30.
Step-by-step explanation:
Let the ages be x and x + 2 for Janine and her sister, respectively.
x/7 + (x + 2)/3 = 14
Multiply both sides by the LCD, 21, to get rid of denominators.
21 * x/7 + 21 * (x + 2)/2 = 21 * 14
3x + 7(x + 2) = 294
3x + 7x + 14 = 294
10x = 280
x = 28
x + 2 = 30
Answer: Janine is 28. Ingrid is 30.
Answer:
Janine is 28 and Ingrid is 30.
Step-by-step explanation:
Let Janine's age be x years , then Ingrid's age is x+2 years.
From the given information we have the equation:
x/7 + (x + 2)/3 = 14
Multiplying through by the LCM of 3 and 7 (21), we have:
3x + 7(x + 2) = 294
10x + 14 = 294
10x = 294-14 = 280
x = 28, so:
Janine is 28 and Ingrid is 30.
Brand XYZ dog food costs $36 for 15 pounds of dog food . What is the cost per pound?
Answers
Answer:
$2.40
Step-by-step explanation:
36÷15=2.4
since we are talking about money you add a zero.
Hope this helps
Cost of the dog food per pound is $2.4
What is cost?Cost is the value of money that has been used up to produce something or deliver a service
Cost of 15 pound of dog food = $36
Cost of 1 pound of dog food = [tex]\frac{36}{15}[/tex]= $2.4
Hence, the cost of 1 pound of dog food is $2.4
Learn more about cost here
https://brainly.com/question/13910351
#SPJ2
5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank?
Answers
Answer:
8 ft.
Step-by-step explanation:
V = Bh B = area of the base h = height
The base is a circle, so [tex]B = \pi r^{2}[/tex]
320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]
[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]
r = 4
d = 8 ft.
3. Brittany's grandmother sends her to the store to buy a new
flour canister for her kitchen. Brittany finds two canisters that
she likes and is having trouble deciding which one to purchase.
Answers
Answer:
Purchase the bigger one so it can hold more flour
Step-by-step explanation:
I need more information to answer this.
Ms. kelly has a field of sweet corn with one outside row measuring 540 feet and the other 600 feet. It measures 420 feet across the rows. How many acres of sweet corn are in this field?
Answers
Answer: .
Step-by-step explanation: