• Answer:
x = 2
• Step-by-step explanation:
AB = AC/2 = 16/2 = 8
AB = 2x + 4
8 = 2x + 4
2x = 8 - 4
2x = 4
x = 4 : 2
x = 2
5 Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is
equal to 1-2-(-7) units.
Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate
plane is equal to 2 + 9 units.
Is either Laura or Ryan correct? Explain.
Answer:
Ryan is correct.
Step-by-step explanation:
Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is equal to 1-2-(-7) units.
Here, x-coordinates are same, so the distance between these points is the difference between y-coordinates.
Distance between (4, -2) and (4, -7) = -2-(-7)
= -2+7
= 5 units.
So, Laura is incorrect.
Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate plane is equal to 2 + 9 units.
Here, y-coordinates are same, so the distance between these points is the difference between x-coordinates.
Distance between (2, 3) and (-9,3) = 2-(-9)
= 2+9
= 11 units.
Therefore, Ryan is correct.
five number are in the ratio 1:2:3:4:5 and the sum is 585.find the numbers
Answer:
39, 78, 117, 156 and 195.
Step-by-step explanation:
If the lowest number is x then we can write the numbers as:
x, 2x, 3x, 4x and 5x, so:
x + 2x + 3x + 4x + 5x = 585
15x = 585
x = 39.
So the second number is 39 * 2 = 78
So all numbers are 39, 78, 117, 156 and 195.
You are helping your dad build a rectangular dog park. The length of the dog park feet can be represented by
8x + 2 and the width in feet can be represented by 2x - 12. If your dad bought 160 feet of fencing
(perimeter), what is the length of the dog park?
Answer:
The length of the dog park is 74 feet.
Step-by-step explanation:
Given that,
Length of park = (8x+2)..(I)
Width of park = (2x-12)...(II)
Perimeter = 160 feet
We need to calculate the value of x
Using formula of perimeter of rectangular park
[tex]P=2(l+w)[/tex]
Where, l = length
w = width
Put the value into the formula
[tex]160=2(8x+2+2x-12)[/tex]
[tex]160=20x-20[/tex]
[tex]x=\dfrac{160+20}{20}[/tex]
[tex]x=9[/tex]
We need to calculate the length of the dog park
Using equation (I)
[tex]l=8x+2[/tex]
Put the value of x
[tex]l=8\times9+2[/tex]
[tex]l=74\ feet[/tex]
Hence, The length of the dog park is 74 feet.
During break 125 students went to canteen to purchase cake and ice-cream. If 80 students purchased cake, 57 purchased ice-creams, find the number of students who purchased both.41.
Answer: 12
Step-by-step explanation:
Total = Cake + Ice Cream - Both
125 = 80 + 57 - Both
125 = 137 - Both
-12 = -Both
12 = Both
Answer:
Step-by-step explanation:
Total = Cake + Ice Cream - Both
125 = 80 + 57 - Both
125 = 137 - Both
-12 = -Both
12 = Both
A stamp has the Length of 1/2 cm and a width of 1 1/2 is the area of the stamps
Answer:
[tex]Area = \frac{3}{4} cm^2[/tex]
Step-by-step explanation:
Given
[tex]Length =\frac{1}{2}\ cm[/tex]
[tex]Width = 1\frac{1}{2}\ cm[/tex]
Required
Determine the Area
Area is calculated as follows
[tex]Area = Length * Width[/tex]
Substitute values for Length and Width
[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]
Convert mixed fraction
[tex]Area = \frac{1}{2} * \frac{3}{2}[/tex]
[tex]Area = \frac{3}{4}[/tex]
Hence, the area is
[tex]Area = \frac{3}{4} cm^2[/tex]
A car of m = 1200. kg collides with a tree while traveling 60.0 mph. The collision occurs over a time period of 0.0500 seconds. Determine the magnitude of the force exerted on the car as it comes to rest during the collision. (1 m/s = 2.24 mph) 1.58 × 10 3N 1.44 × 10 6N 3.60 × 10 3N 6.4331 × 10 5N
Answer:
6.4331 × 10 5N
Step-by-step explanation:
Given the following :
Mass (m) of car = 1200kg
Initial Velocity (u) of car = 60 mph
Final velocity = 0 ( comes to rest)
Velocity in m/s = 60 / 2.24 = 26.785 m/s
Time (t) = 0.0500
Using the relation :
Ft = m(v - u)
Where,
v = final velocity ; u = initial velocity ; t = time ; F = force
F*0.05 = 1200(26.785 - 0)
0.05F = 32142.86 - 0
F = 32142.86 / 0.05
F = 642857.14 N
F = 6.43 × 10^5 N
simplify the expression (a^3 over 2)^3
Step-by-step explanation:
(a3/2)3
(a3)3/(2)3
a9/8
Hope it is helpful for you
A 5 1/2 foot by 12 foot concrete wall is to be built using concrete blocks. What is the area of the wall
Answer:
66 feet
Step-by-step explanation:
5 1/2 times 12
Marcus has $45 in his bank account. He deposits a check for $65. Two days later he
withdraws $20. How much money is left in his account?
Answer: $90
Step-by-step explanation: Take 45 and add 65, then subtract 20.
Find the length of the arc
A.8 pie ft
B.32 pie ft
C.64 pie ft
D. 361 pie/ 12 ft
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
The length of the arc is exactly 8π feet long.
To find the length of the arc.
What is circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.
Given that:
Ф=90°
r=16 feet
The perimeter around the circle is known as the circumference.
The circumference of a circle with radius r is
C = 2*π*r
C = 2*π*16
C = 2*16*π
C = 32π
But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.
=(1/4)*32π
= (1/4*32)π
= 8π
Therefore, the length of the arc is exactly 8π feet long.
Learn more about circle here:
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Paul takes a random sample of 50 students in his seventh-grade class and finds that 20 of the students in the sample prefer chocolate ice cream over vanilla ice cream. There are 200 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer chocolate ice cream over vanilla ice cream? 40 80 50 200 I am confused. Please explain a step by step explanation
Answer:
80 students.
Step-by-step explanation:
Since there were 50 students, and 20 students wanted the chocolate icecream, that makes a proportion of 2/5. Then, there are 200 students in this whole seventh grade, and imagine that they have the same proportion of the 50 students. So, you should do 2/5 × 200, and the answer is 80.
I hope this helps you! ;)
Question 1 Determine if graph shows two quantities that are proportional to each other. A Proportional B Non-Proportional Why or why not?
it is not proportional because the line does not go straight from the origin. The origin is 0 and 0 in the bottom corner
If f(x)=3-|7+2x|, evaluate if f(-5)
Answer:
0
Step-by-step explanation:
the || makes whatever number is inside it abslute so -3 becomes 3 instead
Answer:
[tex]f(-5)=0[/tex]
Step-by-step explanation:
[tex]f(x)=3-|7+2x|\\f(-5)=3-|7+2(-5)|\\f(-5)=3-|7+(-10)|\\f(-5)=3-|-3|\\f(-5)=3-3\\f(-5)=0[/tex]
please help with all 3!! will give brainliest!!
Answer:
11. 9. 4.
Step-by-step explanation:
Since BD bisects ABC, angle ABD = angle CBD.
(13x - 56) = (7x + 10)
6x = 66
x = 11.
Again for the next question BD bisects ABC.
(x + 15) = (4x - 12)
3x = 27
x = 9.
For the last question,
(9x + 9) = (12x - 3)
3x = 12
x = 4.
Which equation shows the correct relationship between the measures of the angles of the two triangles?
Answer:
The answer is C
Answer:
c is the answer
Step-by-step explanation:
the answer is c
Quesheip Use the number line below, where RS = 6y +2, ST=5y + 9, and RT= 13y - 1 a What is the value of y? b Find RS, ST, and RT. R S T a. What is the value of y? y=Type an integer or a decimal.)
Answer:
[tex]y = 6[/tex]
[tex]RS = 38[/tex]
[tex]ST = 39[/tex]
[tex]RT = 77[/tex]
Step-by-step explanation:
Given:
[tex]RS = 6y +2[/tex]
[tex]ST=5y + 9[/tex]
[tex]RT= 13y - 1[/tex]
Solving (a): The value of y
From the given parameters, we understand that
[tex]RT = RS + ST[/tex]
Substitute values for RS, ST and RT
[tex]13y - 1 = 6y + 2 + 5y + 9[/tex]
Collect Like Terms
[tex]13y - 6y - 5y = 1 + 2 + 9[/tex]
[tex]2y = 12[/tex]
Divide both sides by 2
[tex]y = \frac{12}{2}[/tex]
[tex]y = 6[/tex]
Solving (b):
The value of RS
Substitute 6 for y in [tex]RS = 6y +2[/tex]
[tex]RS = 6 * 6 + 2[/tex]
[tex]RS = 36 + 2[/tex]
[tex]RS = 38[/tex]
The value of ST
Substitute 6 for y in [tex]ST=5y + 9[/tex]
[tex]ST = 5 * 6 + 9[/tex]
[tex]ST = 30 + 9[/tex]
[tex]ST = 39[/tex]
The value of ST
Substitute 6 for y in [tex]RT= 13y - 1[/tex]
[tex]RT = 13 * 6 - 1[/tex]
[tex]RT = 78 - 1[/tex]
[tex]RT = 77[/tex]
Answer:
Guy who answered first is wrong it’s 5 not 6
Step-by-step explanation:
Could -2 be used as a base to rewrite 32?
engage"
Select one:
OYes
ONO
Submit Answer
Answer:
No
Step-by-step explanation:
Sorry about the quality of the picture but
Answer:
52.5 km
Step-by-step explanation:
1cm: 2100000cm
2.5cm: x cm
you get 52.5 km
An object travels 8 miles in 20 minutes at a constant speed. What is the object's speed in miles per hour
Answer:
24miles/hourStep-by-step explanation:
Speed is the change in distance of a body with respect to time.
Speed = Distance/tIme
Given parameters
Distance = 8miles
TIME = 20minutes
Convert minutes to hour
since 60minutes = 1hr
20 min = x
cross multiply
20 = 60x
x = 20/60
x = 1/3
Hence 20mins = 1/3 hr
Speed = 8miles/(1/3)hr
speed = 8 miles * 3/1 hr
speed = 24 miles/hr
Hence the object's speed in miles per hour is 24miles/hour
The object's speed in miles per hour is 24 miles per hour.
Distance = 8 miles
Time = 20 minutes = 20/60 = 1/3 hour
The speed of an object is calculated as:
= Distance / Time
= 8 ÷ 1/3
= 8 × 3
= 24
In conclusion, the object's speed in miles per hour is 24 miles per hour.
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need help i WILL MARK YOU BRANLEST HELP!!!!!
Help me check my answer! :)
Use greater than, less than, or equal to sign to compare.
3/5 and 0.6
(i got equal to, just checking )
Answer:
yes its equal :)
Step-by-step explanation:
3/5= 0.6
Answer:
[tex]\huge\boxed{\sf Equal \ to}[/tex]
Step-by-step explanation:
=> 3/5 = 0.6
So,
=> 0.6 = 0.6
We'll use "equal to" sign.
Hope this helped!
~AnonymousHelper1807What might cause a theory to change over time
Answer:
Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did and more. The process of theory change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.
The discovery of new evidence because it's the only one that would give proof and science relies on proof.
What might cause a theory to change over the time?Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did.
The process of theories change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.
The discovery of new evidence because it's the only one that would give proof and science relies on proof.
Learn more about the theories here, please visit the link below;
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#15 how do i do it and how do i solve?!
Answer:
perimeter=8x+30
Step-by-step explanation:
(3x+15)+(3x+15)+(x)+(x)
^each side is represented within the parentheses
then, rearrange the terms so they are organized by like terms
3x+3x+x+x+15+15
8x+30
The left and right page numbers of an open book are two consecutive integers whose sum is 229
Answer:
114, and 115
Step-by-step explanation:
114+115 = 229
Answer:
114 and 115
Step-by-step explanation:
Let's say the pages are p
so
Left page = p
Right page = p+1
p(p+1) = 229
2p+ 1 = 229 we want to know what p is so isolate the variable:
-1 -1
2p=228 Divide:
p=114
The pages are 114 and 115
Check: 114+115 = 229
Hope this helps :)
Which of the following is a name for this line? I’m unsure of this question Pleaseee Helppp
Answer:C
Step-by-step explanation:
the line above AB signifies that its a line segment
there are points for A and B
1.
Change these measurements into metres:
(b) 425 cm
(d) 140 cm
(e) 780 cm
(a) 245 cm
(c) 535 cm
(f) 340 cm
(g) 2 565 cm
(h) 5 010 cm
2.
Change these measurements into centimetres:
(a) 8 m
(b) 13 m
(c) 24 m
(d) 207 m
(e) 21 m
(f) 100 m
(g) 105 m
(h) 1 m
Answer:
1m = 100cm, 100cm = 1m
1.
b) 425cm = 4.25m
d) 140cm = 1.4m
e) 780cm = 7.8m
a) 245cm = 2.45m
c) 535cm = 5.35m
f) 340cm = 3.4m
g) 2,565cm = 25.65m
h) 5,010cm = 50.10m
2.
a) 8m = 800cm
b) 13m = 1,300cm
c) 24m = 2,400cm
d) 207m = 207,000cm
e) 21m = 21,000cm
f) 100m = 100,000cm
g) 105m = 105,000cm
h) 1m = 100cm
Answer:
•Centimeters to Meters
a) 2.45 m
b) 4.25 m
c) 5.35 m
d) 1.4 m
e) 7.8 m
f) 3.4 m
g) 25.65 m
h) 50.1 m
•Meters to Centimeters
a) 800 cm
b) 1,300 cm
c) 2,400 cm
d) 20,700 cm
e) 2,100 cm
f) 10,000 cm
g) 10,500 cm
h) 100 cm
Step-by-step explanation:
When you go to convert centimeters into meters, you divide the number of centimeters by 100. Once divided, that number is how many meters it is. Ex. There are 652 cm and you need to find out how many meters there are. Divide 652 by 100 (652/100) and that equals 6.52 m
When you go to convert meters into centimeters, multiple the number of meters by 100. Ex. There’s 4 m of rope and you want to know the length in centimeters. Multiply 4 by 100 (4x100) and you should get 400 cm.
Write an expression equivalent to 6x+3y-4x+2
Answer:
10x+3y+2
Step-by-step explanation:
If there are 48 boys and 32 girls what are all of the possible ratios
Answer:
48 to 32 8 to 4 4 to 2 24 to 16
Step-by-step explanation:
Find the distance of each segment AB and CD. You may leave in radical form. A (3, 4) B(1, 0) and C (-1, 2) D (-2, 5)
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
AB
[tex]\sqrt{(1-3)^2+(0-4)^2}[/tex]
[tex]\sqrt{4+16}[/tex]
[tex]\sqrt{20}[/tex]
[tex]2\sqrt5[/tex]
CD
[tex]\sqrt{(-2-(-1))^2+(5-2)^2}[/tex]
[tex]\sqrt{1+9[/tex]
[tex]\sqrt{10}[/tex]
Hope this helps.
頑張って!
Answer:
Step-by-step explanation:
se the graph to determine the input values that
correspond with f(x) = 1.
O x=4
O x= 1 and x = 4
O x= -7 and x = 4
O x= -7 and x = 2
6.
(-6, 4)
4
(1,4) w
2
(-7, 1)
(2, 1) x w
2
4
-8/ -6 -4 -2 e
-2
-4thrrt
Which of the following represents fifth root of x to the fourth power in exponential form? (6 points) a 4x5 b 5x4 c x to the five fourths power d x to the four fifths power
Answer:
B) 5x4
one its not A nor its C
its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4
Answer:
[tex]x^{\frac{4}{5} }[/tex]
Step-by-step explanation:
Using the rule of radicals/ exponents
[tex]\sqrt[n]{x^{m} }[/tex] ⇔ [tex]x^{\frac{m}{n} }[/tex] , thus
[tex]\sqrt[5]{x^{4} }[/tex] = [tex]x^{\frac{4}{5} }[/tex]