Answer:
the length of PQ is 8.9 m
Step-by-step explanation:
The computation of the length of PQ in meters is shown below:
Here we applied the Pythagoras theorem
c² = a² + b²
= 4² + 8²
= 16 + 64
= 80
Now square root to the both sides
c = √80
= 8.94427191
= 8.9 m
Hence, the length of PQ is 8.9 m
A teacher has 20 students. Each student is paying $12.50 for a ticket to see a play during a field trip. The teacher collects their money for two weeks. In the first week, 14 students pay for their ticket. In the second week, the rest of the students pay for their ticket. How much did the teacher collect in the second week?
Answer:
$75
Step-by-step explanation:
Steps to determining the answerDetermine the number of students that would pay in the second week. This can be known by subtracting 14 from 20. 20 is the total number of students. 14 is the number of students that paid in the first week. Multiply the answer gotten from one above by the price of the ticket20 - 14 = 6
6 students would pay in the second week
6 x $12.50 = $75
The teacher would collect $75 in the second week
A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
Complete Question:
A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.
What is the area of the base of the pedestal?
Answer:
45 square feet
Step-by-step explanation:
Given the following data;
Volume of pedestal = 405 ft³
Height of rectangular prism = 9 ft
To find the area of the base of the pedestal;
Volume of pedestal = base area * height
405 = base area * 9
Base area = 405/9
Base area = 45 square feet.
Therefore, the area of the base of the pedestal is 45 square feet.
Answer:
45 square feet
Step-by-step explanation:
HELP ASAP PLEASE I HAVE TO TURN THIS IN SOON
16. Write the equation of the line graphed below.
A. Y= 2x-2
B. Y= -1/4x+2
C. Y= 1/4x+2
D. Y= 1/4x-2
Answer:
B
Step-by-step explanation:
It has a slope of -1/4
and it's y intercept is 2
y = -1/4x + 2
Hence calculate the value of
[tex] \frac{ {2}^{2010} + {2}^{2012} + 10}{ {2}^{2009} + {1}^{}{} }^{} [/tex]
Answer:
10
Step-by-step explanation:
Let [tex]x=2^{2009}[/tex]:
[tex]\frac{2x+2^3x+10}{x+1}=\frac{10x+10}{x+1}=\frac{10(x+1)}{x+1}=10[/tex]
What is the expression and value of "six less than nine times the sum of a number and eight" when n = 5? 9 (n + 8) minus 6; when n = 5, the value is 111. 6 minus 9 (n + 8); when n = 5, the value is 111. 9 (n) + 8 minus 6; when n = 5, the value is 47. 6 minus 9 (n) + 8; when n = 5, the value is 47.
Answer:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A plz mark me brainlest
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Step-by-step explanation:
Answer:
The expression is 9(n + 8) - 6, the value is 111 ⇒ answer A
Step-by-step explanation:
* Lets explain how to solve the problem
- We have a statement:
" six less than nine times the sum of a number and eight"
- When we solve we will start by the last part
- The last part is the sum of a number and 8
- Assume that the number is n
∵ The sum is the answer of adding
∴ The sum of a number and eight is ⇒ n + 8
- Nine times the sum
∵ The sum is n + 8
∵ Nine times means multiply the sum by 9
∴ Nine times the sum is ⇒ 9(n + 8)
- Six less than nine times the sum
∵ Nine times the sum is 9(n + 8)
∵ Six less than means subtract 6 from nine times the sum
∴ Six less than nine times the sum is ⇒ 9(n + 9) - 6
* The expression is 9(n + 8) - 6
- Lets evaluate the expression when n = 5
∵ 9(n + 8) - 6
∵ n = 5
∴ The value = 9(5 + 8) - 6
∴ The value = 9(13) - 6
∴ The value = 117 - 6
∴ The value = 111
* When n = 5 the value of the expression is 111
Answer:
it A
Step-by-step explanation:
What is the solution to the inequality below?
Answer:
x> 49 answer : D
Step-by-step explanation:
hello :
√x > 7
(√x)² >( 7)²
x> 49 answer : D
PLEASE HELP ME
In the figure, ZJKM and ZMKN are
complementary.
What is the measure of ZNKP?
Answer:
angle NKP = 60 degrees
Step-by-step explanation:
A line will always equal 180 degrees
If angle JKM and angle MKN are complentary, that means they will add up to 90. Since angle JKM is 40 degrees, angle MKN must be 50 degrees
Angle LKP is 30 degrees
Form an equation:
180 = 40 + 50 + 30 + angle NKP
Combine like terms
180 = 120 + angle NKP
Subtract 120 from both sides to isolate the unknown angle
60 = angle NKP
My question is on the picture, if someone would answer it that would be great! Also id like to know HOW to answer it too! Thanks! :D
What is the volume of a cube with 1/2
inch sides?
Answer:
1/8 in.
Step-by-step explanation:
1/2*1/2*1/2=1/8
One side of a triangle is 7 and another side is 10. Which of the values below could
be the third side of the triangle?
x is the third side of the triangle, we have:
7 + 10 > x > 10 - 7
<=> 3 < x < 17
so the answer is C. III and IV only
Answer:
C
Step-by-step explanation:
given 2 sides of a triangle, then the third side, x , is in the range
difference of 2 sides < x < sum of 2 sides , that is
10 - 7 < x < 10 + 7
3 < x < 17
The only values in the list between 3 and 17 are 4 and 16.
That is III and IV only → C
which equation best matches the graph shown below ?
Write the equation of the line that is parallel to y-axis and passing through the point (3,-5)
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:
[tex]x=d[/tex] where d is the x-intercept, or the value of x when the line crosses the x-axis
We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.
[tex]x=3[/tex]
I hope this helps!
Where does the graph of y = 4x + 24 intersect the x-axis?
Answer:
(-6, 0)
Step-by-step explanation:
y = 4x + 24
Plug y = 0
0 = 4x + 24
4x = - 24
x = - 24/4
x = - 6
So, the graph of y = 4x + 24 intersect the x-axis at (-6, 0)
Answer:
at point x= -6
Step-by-step explanation:
4x+24=0
4x=-24
x=-24/4
x=-6
Can three line segments with the given lengths form a right triangle?
Drag each set of lengths into the correct box.
12, 35, 37
16, 30, 34
18, 24, 42
20, 21, 29
Yes
No
Answer:
Yes
12, 35, 37
16, 30, 34
20, 21, 29
No
18, 24, 42
Step-by-step explanation:
Required
Determine which length form a right triangle
To do this, we make use of Pythagoras theorem where the square of the largest length = the sum of the squares of the other lengths
So:
(1) 12, 35, 37 --- Yes
[tex]37^2 = 35^2 + 12^2[/tex]
[tex]1369 = 1225 + 144[/tex]
[tex]1369 = 1369[/tex]
(2) 16, 30, 34 --- Yes
[tex]34^2 = 16^2 + 30^2[/tex]
[tex]1156 = 256 + 900[/tex]
[tex]1156 = 1156[/tex]
(3) 18, 24, 42 --- No
[tex]42^2 =18^2 + 24^2[/tex]
[tex]1764 =324 + 576[/tex]
[tex]1764 =900[/tex]
[tex]1764 \ne 900[/tex]
(4) 20, 21, 29 -- Yes
[tex]29^2 = 20^2 + 21^2[/tex]
[tex]841= 400 + 441[/tex]
[tex]841= 841[/tex]
Based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).
What is the Pythagorean Triple?The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:
c² = a² + b².
c is the longest side of the right triangle or largest of the set of integers of the Pythagorean triple.
Thus, find out which set of lengths will form a right triangle:
12, 35, 37 will form a right triangle, because:
37² = 35² + 12²
1,369 = 1,369
Also, the rest set of lengths will form a right triangle except, "18, 24, 42".
Thus, based on the Pythagorean Triple, "12, 35, 37", "16, 30, 34" and "20, 21, 29" will form a right triangle(YES), while "18, 24, 42" will not (NO).
Learn more about Pythagorean Triple on:
https://brainly.com/question/11994763
Tom exercises 4/5 hour on Monday and 5/6 hour on Tuesday
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Most likely he will exercise 6/7 hours on Wednesday!
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
the table shows the heights of 40 students in a class b.) explain why your answer (a) is an estimate
Answer:
whatssssssssssssssssssss
help me Please help me please help me please help me please
Answer:
second box is 5 and third bo is 40 and forth box is 0.25 I think! Sorry if it’s wrong!
Step-by-step explanation:
you divide them all by four.
Answer: the first blank would be 5 the second blank would be 40 and the last blank would be 4. The constant of proportionality is 4
Find the interest for a six-year CD for $5000 at an interest rate of 4%, compounded annually.
Answer:
18
Step-by-step explanation:
180X10=1800
1800/100=18
Perform the operation.
(-8x² + 10x + 4) – (-4x + 10)
Answer:
-8x^2 + 14x -6
Step-by-step explanation:
Answer:
- 8x² + 14x - 6
Step-by-step explanation:
Given
(- 8x² + 10x + 4) - (- 4x + 10)
Distribute the parenthesis, noting to distribute the second one by - 1
= - 8x² + 10x + 4 + 4x - 10 ← collect like terms
= - 8x² + 14x - 6
A rectangular sandbox is in the center of a larger rectangular back yard. The sand box
measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?
Answer:
(43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox
Since both the yard and the sandbox has a rectangular shape, then;
Area of a rectangle = length x width
So that,
Area of the yard = length x width
= (6x+7) x 8x
= (48[tex]x^{2}[/tex] + 56x) [tex]ft^{2}[/tex]
Area of the sandbox = length x width
= (x+6) x 5x
= (5[tex]x^{2}[/tex] + 30x) [tex]ft^{2}[/tex]
Thus,
Area of the yard that is not pat of the sandbox = (48[tex]x^{2}[/tex] + 56x) - (5[tex]x^{2}[/tex] + 30x)
= 48[tex]x^{2}[/tex] + 56x - 5[tex]x^{2}[/tex] - 30x
= (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex]
Area of the yard that is not pat of the sandbox is (43[tex]x^{2}[/tex] - 26x) [tex]ft^{2}[/tex].
25 49/80 as a decimal
Answer:
25.6125
Step-by-step explanation:
since 25 is a whole number, it'd be 25.ˣˣˣˣ
now all you have to do it divide the fraction so 49 ÷ 80 = 0.6125
last step is to add ⇒ 25 + 0.6125 = 25.6125
Someone please help me I’ll mark brainliest
Answer:
no solution
Step-by-step explanation:
the lines do not cross therefore there is no direct coordinate
Ill give BRAINLIEST I NEED HELP
Answer:
∠G
Step-by-step explanation:
The tangent of an angle is given by the following trigonometric ratio;
[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]
From the question, we have;
tan ∠K = 6/8
ΔGIH is similar to ΔKJL
By observation of the length, we have;
Segment HI and segment JL are corresponding segments
Segment KL and segment HG are corresponding segments
∴ ∠K and ∠G are corresponding angles
∴ tan∠G = tan∠K = 6/8
The angle whose tangent is 6/8 is ∠G
How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
PLEASEEEE HELPPPPPP!!!!
Answer:
Step-by-step explanation:
LOL even I dont know
Can someone pls help, I know this is kind of a lot but I’ve been stuck on this for a while now.
The data in the table can be modeled by a quadratic function. Find the function that would fit the data.
The number of hours Temperature
after midnight
6 58
8 68
10 76
12 82
14 84
16 81
18 75
After completing the regression using this information the value of a is (__), the value of b is (__), and the value of c is (__). The equation for the situation is f(x)= (__). Use the equation to predict the temperature one hour after midnight.
9514 1404 393
Answer:
(a, b, c) = (-0.425595, 11.7321, 2.16667)
f(x) = -0.425595x² +11.7321x +2.16667
f(1) ≈ 13.5
Step-by-step explanation:
A suitable tool makes short work of this. Most spreadsheets and graphing calculators will do quadratic regression. All you have to do is enter the data and make use of the appropriate built-in functions.
Desmos will do least-squares fitting of almost any function you want to use as a model. It tells you ...
a = -0.425595
b = 11.7321
c = 2.16667
so
f(x) = -0.425595x² +11.7321x +2.16667
and f(1) ≈ 13.5
_____
Additional comment
Note that a quadratic function doesn't model the data very well if you're trying to extrapolate to times outside the original domain.
angle A and angle B are supplementary angles. If m angle A=(7x+14)^ and m angle B=(5x-26)^ , then find the measure of angle B .
Answer:
35x^2 - 112x - 364
it's probably wrong since I've only expanded the brackets
Answer:
B = 54
Step-by-step explanation:
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answer:
The answer is 35 degrees because 60-25=35.
Step-by-step explanation:
Tim plays a computer game each game is a win or a loss he wins three fifths of his first 40 games he then wins his next 12 games for all 52 games work out the ratio wins:losses