Answer:
Below
Step-by-step explanation:
Let D be the diagonal of this square.
D forms with AB and BC a right triangle where D is the hypotenus.
We will apply then the Pythagorian theorem
●The Pythagorian theorem
● D^2 = AB^2 + BC^2
ABCD is a square, so AB=BC
● D^2 = AB^2 + AB^2
● D^2 = 2AB^2
We khow that is D= 5 cm
● 25 = 2AB^2
● 25/2 = AB^2
● 5/√2 = AB
AB is 5√2 cm
■■■■■■■■■■■■■■■■■■■■■■■■■
The perimeter is:
● P = 4AB
● P = 4×(5/√2)
● P = 20/√2
● P = 10×2/√2
● P = 10√2 cm
■■■■■■■■■■■■■■■■■■■■■■■■■■
The area is
● A = AB^2
● A = (5/√2)^2
● A = 25/2 cm^2
Answer:
Step-by-step explanation:
the sides of a square are equal ( AB=BC=CD=DA)
diagonal of the square creates two right angle triangle
to find the side of the triangle we apply the Pythagorean theorem:
a²+b²=c² ( let AB=a, and BC=b)
2a²=25 ( since AB=BC=a)
a²=25/2
a=(5√2)/2 cm
a=3.54 ( rounded to the nearest 10)
perimeter = 4a
P=4(5√2/2)
P=10√2 cm
Area=a²=(5√2/2)²=25/2=12.5 cm^2
Solve for x.
4x - 4 <8
AND 9x + 5 > 23
Answer:
2 < x < 3
Step-by-step explanation:
4x - 4 < 8 AND 9x + 5 > 23
4x < 12 AND 9x > 18
x < 3 AND x > 2 so the answer is 2 < x < 3.
Solve : 9x-28 = 0
Add 28 to both sides of the equation :
9x = 28
Divide both sides of the equation by 9:
x = 28/9 = 3.111
82.) a varies directly as b and inversely as the square of c, and a=10, when b=8 and c=2. Find a when b=20 and c=5.
i also give brainliest UwU
Step-by-step explanation:
According to rules of Proportionality :
[tex]a = k \frac{b}{ {c}^{2} } [/tex]
(A) When (a = 10, b = 8, c = 2)
K = 5
(B) When (b = 20, c = 5)
[tex]a = 5 \times \frac{20}{25} = 4[/tex]
Trigonometry help?? Thank you so much!!
Answer:
7) a = 60; b = 100
8) c = 20
9) d = 45
Step-by-step explanation:
7)
a + 120 = 180
a = 60
b + 80 = 180
b = 100
8)
5c + 4c = 180
9c = 180
c = 20
9)
3d + d = 180
4d = 180
d = 45
-5(6x-4) simplify with steps whoever sents first with steps i will mark as brainliest
Answer:
-30x +20
Step-by-step explanation:
-5(6x-4)
Distribute
-5*6x -5*-4
-30x +20
Answer:
-30x + 20
Step-by-step explanation:
I think you need to expand the brackets
you will need to times -5 with 6x
then times -5 with -4
What is the end behavior of the function h? H(x)=-4x+4
Answer:
Below
Step-by-step explanation:
The end behavior of a function is how it grows when it reaches both plus and - infinity.
To do that we will calculate:
● lim h(x) x=> +infinity = lim-4x+4 x=> +inf = lim -4x x=> +inf
-4 is negative so the limit will be -infinity
● lim (-4x+4) x=> -inf = lim (-4x) x=> -inf
-4 is negative, x is negative then -4x is positive. So the limit will be + inf
The graph of a line goes through the points (-4,3) and (6,8). What is the equation of the line in slope-intercept form? Enter the correct answer in the box by replacing m and b with the appropriate values.
y=mx+b ?
Answer:
y= ½ x + 5
Step-by-step explanation:
[tex] (-4,3) \: (6,8). \\ x_1 = - 4 \\ y_1 = 3 \\ x_2 = 6[/tex]
[tex]y_2 = 8 \\ \frac{y - y_1}{x - x_1} = \frac{y_2 -y_1}{x_2 - x_1} [/tex]
[tex] \frac{y - 3}{x - ( - 4)} = \frac{8 - 3}{6 - ( - 4)} = \frac{y - 3}{x + 4} = \frac{5}{10} [/tex]
[tex]10(y - 3) = 5(x + 4) \\ 10y - 30 = 5x + 20 \: \\ 10y = 5x + 20 + 30 = 10y = 5x + 50 \\ [/tex]
[tex] \frac{10y}{10} = \frac{5}{10} x + \frac{50}{10} \\ y = \frac{1}{2} x + 5[/tex]
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line can be written as y = (1/2)x+5.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
To write the equation of the line, we need to firstly find the slope of the equation. Therefore, the slope of the equation can be written as,
Slope = (8 -3)/[6 - (-4)] = 5/10 = 1/2
Now, substitute the value of the slope and the any point in the general equation of a line. Therefore, we can write,
y = mx + c
8 = (1/2)(6) + C
8 = 3 + C
C = 5
Hence, the equation of the line can be written as y = (1/2)x+5.
Learn more about Equation of Line:
https://brainly.com/question/21511618
#SPJ5
which of the following represents the divisor and the dividend for the synthetic division problem below?
Answer:D
Step-by-step explanation:
Answer:
x - 1 a n d - 2 x ^ 2 - 9 x - 7
I need help ASAP!!!!
Answer:
r= square root of A /π
Step-by-step explanation:
to find the radius with the area
use the formula square root of area/pi
12. The distance by air from Buenos Aires to Cape Town is 6900 km. An airplane flies at an average speed of
800 km h . Find the time it takes for this airplane to fly from Buenos Aires to Cape Town.
Answer:
8 hours 37.
800x8= 6400
800x 0.5 (or 30 mins) = 400
6400+400= 6800
one 5th of an hour = 12 minutes.
v() and () are inverses of one another and drawn on the same graph with the same scale on both the horizontal and vertical axis. Which of the following would be true?
A.
By rotating () 90° clockwise around the origin you would get ().
B.
By rotating () 180° clockwise around the origin you would get ().
C.
By reflecting the entire coordinate grid over the line =, () would land on ().
D.
() is the same as (), translated up 3 units.
Answer:
Answer C: Reflecting over the line y = x
Step-by-step explanation:
A function and its inverse have always symmetry around the line y = x (called also the identity line)
Therefore answer C seems to be the only answer that addresses such.
The diagram shows a rectangle ABCE.
D lies on EC.
DAB is a sector of a circle radius 8cm and sector angle 30º.
Calculate the area of the shaded region.
Answer:
15.25 cm²
Step-by-step explanation:
Step 1: find the width of the rectangle, AE.
[tex] cos(60) = \frac{EA}{8} [/tex]
[tex] 8*0.5 = EA [/tex]
[tex] 4 = EA [/tex]
[tex] EA = 4 cm [/tex]
Step 2: Find the area of the rectangle
[tex] Area_{rectangle} = length * width = 8*4 = 32 cm^2 [/tex]
Step 3: Find the area of the sector.
Take π as 3.14
[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 [/tex]
[tex] Area_{sector} = \frac{30}{360}*3.14*8^2 = 16.75 cm^2 [/tex]
Step 4: Find the area of the shaded region.
Area of shaded region = [tex] Area_{Rectangle} - Area_{sector} = 32 - 16.75 = 15.25 cm^2 [/tex]
Find all values of $x$ such that $3x^2 + 16x + 5=0$. If you find more than one value, then list your solutions, separated by commas.
Answer:
x = {-5, -⅓}
Step-by-step explanation:
[tex]3 {x}^{2} + 16x + 5 = 0[/tex]
[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]
[tex]3x(x + 5) + 1(x + 5) = 0[/tex]
[tex](x + 5)(3x + 1) = 0[/tex]
[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]
[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]
Drag each number to the correct location on the image. Each number can be used more than once, but not all numbers will be used.
Answer:
5 3
6 4
4 2
Step-by-step explanation:
how to find rationalizing factor of
class 9
Answer:
[tex] \sqrt[5]{a^{3} b^{2}c}[/tex]
Step-by-step explanation:
Rationalization factor of [tex] \sqrt[5]{a^2 b^3 c^4} [/tex]
[tex] = \sqrt[5]{a^{5-2} b^{5-3}c^{5-4}}\\
= \sqrt[5]{a^{3} b^{2}c^{1}}\\
= \sqrt[5]{a^{3} b^{2}c}\\ [/tex]
Two students were asked to use estimation strategies to find a reasonable solution to this question: There are 94 third graders and 125 fourth graders going on a field trip. There will be 17 students riding in cars and the rest will be divided evenly between 5 buses. Estimate the number of students in each bus. From the choices below, select the student with a more reasonable solution.
Answer:
40
Step-by-step explanation:
94 + 125 - 17 / 5
Jennifer is going on a hike to the top of a mountain. It will take 3 hours and 55 minutes to hike up the mountain and 1 hour and 10 minutes to hike back down. If Jennifer wants to finish the hike by 3:45 P.M., what is the latest time she can start the hike up the mountain? Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
====================================================
Explanation:
Add the minutes for now
55 minutes + 10 minutes = 65 minutes = 60 minutes + 5 minutes = 1 hour, 5 minutes
The minute portions add to 1 hour, 5 minutes. The hour portions add to 3+1 = 4.
Add on the "1 hour, 5 minute" portion and we get 5 hours, 5 minutes
This is the total duration of the round trip hike. Keep in mind that this does not include any time spent with Jennifer resting at the top of the mountain. This time duration assumes that once she gets to the top, she pretty much starts the hike back down the mountain.
----------------------------
Now convert 3:45 PM to military time. We add 12 hours to get 15:45
Subtract off 5 minutes to get 15:40
Then subtract off 5 hours to get 10:40, which converts back to 12-hour time notation to be 10:40 AM
x(2y-5z+1)= show work plz
Answer:
[tex]2xy-5xz+x[/tex]
Step-by-step explanation:
I'm going to assume you wanted to multiply these terms.
To do this, we distribute [tex]x[/tex] into each term in the parentheses.
[tex]2y \cdot x = 2xy\\\\-5x \cdot x = -5xz\\\\1 \cdot x = x[/tex]
Combining these terms, we get [tex]2xy-5xz+x[/tex].
Hope this helped!
Point X in quadrant III is reflected across the x-axis and then across the y-axis. In which quadrant is the image of point X?
Answer:
Quadrant I
Step-by-step explanation:
Reflection is a type of solid transformation in which an object or a point is flipped with respect to a reference point or plane to produce its image. It changes the orientation of an object, but not its shape and size.
Reflecting the point X across x-axis produces an image in quadrant II. Now, reflecting it across the y-axis would fix its image now in quadrant I.
Therefore, reflecting point X across the x-axis and then y-axis would produce its image in quadrant I.
Which of the following correctly uses exponents to write "6 factors of 2"?
062
26
06.2
12
Please hurry!
Answer: 2^6
Step-by-step explanation:
First, when we have:
x^n
this means that we are multiplicating x by itself n times.
Now, in this case we have:
6 factors of 2 would mean that we have:
(2)*(2)*(2)*(2)*(2)*(2)
2 multiplied by itself 6 times.
This is equal to:
(2)*(2)*(2)*(2)*(2)*(2) = 2^6
Find the approximate side length of a square game board with an area of 142in2
Answer:
11.9 in.
Step-by-step explanation:
√142=11.9in
Tony is 1⁄2 mile ahead of Laura on a jogging
path. If Tony is running at 4 miles per hour, and
Laura is running at 6 miles per hour, how long
will it take Laura to catch up with Tony?
Answer:
¼ hours or 15 minutes
Step-by-step explanation:
let the time it will for laura to catch up with Tony be 't'
Distance = speed × time
Distance corvered by Laura in time (t) = Distance corvered by Tony in time (t) + Distance between Tony and Laura
6×t = 4×t + ½
6t = 4t + ½
2t = ½
t = ¼ hours or 15 minutes
BRAINLIEST PLEASE
HOPE IT HELPS..... ;-)Answer:
15 minutes
Step-by-step explanation:
Let Tony is running x distance when Laura catch up him.
Then Laura is running x + 0.5 miles distance .
This motion takes the t time.
Using the equation of the motion ,
s = ut
s - Distance u - velocity t - Time
For Tony's motion
x = 4 × t --------*
For Laura's motion
x + 0.5 = 6 × t ------**
** - * --->
x + 0.5 - x = 6t - 4t
0.5 = 2t
t = 0.25 hours
t = 15 minutes
IF SOMEONES ANSWERS I'LL GIVE BRAINLIEST
Answer:
1 9/10 hoursStep-by-step explanation:
We need to add the measurements together to get the answer.
___________________________________________________________
[tex]\frac{4}{5} + \frac{1}{4} + \frac{1}{4} + \frac{3}{5}[/tex]
___________________________________________________________
Since [tex]\frac{1}{4}[/tex] and
___________________________________________________________
[tex]\frac{3}{5} + \frac{4}{5}[/tex] = [tex]\frac{7}{5}[/tex] and [tex]\frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}[/tex]
7/5 + 1/2 (we need to find a common denominator to add these)
14/10 + 5/10 = 19/10 or 1 9/10 hours
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)Answer:
19/10 hours or 1 [tex]\frac{9}{10}[/tex] hours.
Step-by-step explanation:
jog = 4/5 hours
lifting = 1/4 hours
stretching = 1/4 hours
cycling = 3/5 hours
total hours for that week = 4/5 + 1/4 + 1/4 + 3/5 = 19/10 hours or 1 [tex]\frac{9}{10}[/tex] hours.
a motor scooter travels 12 mi in the same time that a bicycle covers 5 mi. If the rate of the scooter is 2 mph more than twice the rate of the bicycle, find bith rates.
Answer:
Step-by-step explanation:
let the rate of travel of bicycle=x m/h
rate of travel of motor scooter=2x+2
time taken by motor scooter to travel 12 mi=12/(2x+2) hrs.
time taken by bicycle to travel 5 mi=5/x
as time is same
[tex]\frac{12}{2x+2}=5/x\\12x=5(2x+2)\\12x=10x+10\\12x-10x=10\\2x=10\\x=10/2=5\\rate~ of~ travel~ of~bicycle=5 m/h\\rate~ of~ travel~ of~ motor~ scooter=2x+2=2 \times 5+2=12 ~m/h[/tex]
<JNR and <RNX are congruent. if the sum of the measures of the two angles is 180, what type of angle are they?
Answer:
right angles and supplementary
If x players are divided into teams of 8, how many teams are there
Answer:
Each team has 8 players. That means that the x players will be separated into x / 8 teams.
Hope this helps!
Help please!!!! Thank you
find the least number by which 5045 must be subtracted to get a perfect square
Answer:
5041
Step-by-step explanation:
Hence the least number that should be subtracted from 5045 to make it a perfect square is 4 . So the perfect square number is = 5045 - 4 = 5041
What value of x makes the equation below true?
8x – 13 = 3x + 7
O = 2
O x = 5
x = 16
O x=4
Answer:
x = 4
Step-by-step explanation:
8x – 13 = 3x + 7
add 13 to both sides
8x = 3x + 20
subract 3x from both sides
5x = 20
divide by 5 on both sides
x = 4
Lee wu writes 48 résumés for $35 each. what is her pay ?
Max has coins worth $4.50. If the coins are all quarters, how many quarters does he have? *
Answer:
18 quarters
Step-by-step explanation:
4.50/.25=18
Answer:
He has 18 quarters
Step-by-step explanation:
Each dollar is equivalent to 4 quarters, and max has $4. Therefore max has 16 quarters. Then you add the 50 cents, which is equivalent to 2 quarters. Now you add the 16to the 2 and you get 18. Max has 18 quarters.