Answer: multiply the diameter by 1/2 to get the radius
Step-by-step explanation: A diameter is a line across a circle at which its endpoints lie on the circle and travels through the center of the said circle, cutting the circle perfectly in half. The radius is the measurement from the sender of the circle to any given point on the circle and is always equidistant and congruent to other radii of the same circle. For this reason, the radius is always half the length of the diameter. Thus, to define the relationship between the two, multiplying the diameter by 1/2 would be the same as diving it by 2, giving you the radius of the circle.
Answer:
Multiply the diameter by 1/2 to get the radius
Step-by-step explanation:
The radius is half of the diameter, multiplying the diameter by 1/2 will give you the radius.
Practice 4b
In the diagram, PQRS is a rectangular sloping surface, PQTU is a rectangle on horizontal ground and RI and
SU are vertical lines. PQ = SR=UT = 45 cm, QR = PS = 32 cm and angle RQT= 38º.
Calculate
PR,
(b) RT, and
(c) angle RPT
Answer:
(a) PR = 55.2 cm
(b) RT = 19.7 cm
(c) <RPT = [tex]20.8^{o}[/tex]
Step-by-step explanation:
(a) to determine the value of PR, apply the Pythagoras theorem to PQR.
PQ = 45, and SP = QR = 32. So that;
[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]
= 2025 + 1024
= 3049
PR = [tex]\sqrt{3049}[/tex]
= 55.218
PR = 55.2 cm
(b) To determine RT, apply the appropriate trigonometric function to QRT.
Let RT be represented by x, so that;
Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]
x = 32 * Sin [tex]38^{o}[/tex]
= 32 * 0.6157
x = 19.7024
RT = 19.7 cm
(c) To determine <RPT, let the angle be represented by θ.
Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{RT}{PR}[/tex]
Sin θ = [tex]\frac{19.7024}{55.218}[/tex]
= 0.3568
θ = [tex]Sin^{-1}[/tex] 0.35568
= [tex]20.84^{o}[/tex]
Thus, <RPT = [tex]20.8^{o}[/tex]
what would be the value of y? help
M multiplied by 4 is greater than 12
How do I solve it
Answer:
M > 3
Step-by-step explanation:
4M > 12
M > 3
Answer:
um... you can have M as 4. 4 x 4 =16
If two points known on the line A B in the coordinate plane is (7,15) and (18,42), calculate the slope of the line AB and the length of the line AB
Answer:
Slope = 27/11
AB = 29.15 u
Step-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
What is not a multiple of 2 and what is not a multiple of 7
Answer: For 2 it could be 43 and for 7 it could be 58
Step-by-step explanation:
please help i cannot get it
please help i’ll give brainliest
Answer:the answer is mode
Step-by-step explanation:
Herb drew an equilateral triangle one side of the triangle is 5 inches long the other side of the triangle what is 5 inches long how long was The third side of the triangle herb drew explain your reasoning
Answer:
5 in.
Step-by-step explanation:
An equilateral triangle has 3 equal sides.
So third side is 5 inches long.
Which gives the line of best fit?
f(x)=45x
f(x)=x
f(x)=2x
f(x)=45x+45
Answer:
f(x) = x
Step-by-step explanation:
example of points on line: (40,40), (45,45), (50,50)
x-values are the same as y-values which means the line is y=x
A community college employs 88 full-time faculty number. To gain the faculty opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty number. He numbers the faculty form 1 to 88.
Answer: Hi your questions some required details attached below is the required random number table and missing question
Answer : 83, 58, 64, 26, 47, 68, 29, 4, 78
Step-by-step explanation:
The number of 9 faculty members that will be included in the sample will be written considering the fact that the 9 numbers ( first 9 ) are lesser than 88, and also considering the fact that 58 is repeated twice ( in the random number table ). Hence The number of 9 faculty members = 83, 58, 64, 26, 47, 68, 29, 4, 78
Can someone answer these questions I really need help! I’ll give brainliest if I can!
https://brainly.com/question/23678779
Answer:
ill help u but
Step-by-step explanation:
MARK ME BRAINLIEST PLZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzMARK ME BRAINLIEST PLZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzPls hurry, will mark brainliest
Answer:
B is correct
Step-by-step explanation:
Using the given equation find the missing coordinates o the points and then find the slope of the line for each equation y-2x=3; A(...;6), B(15; ...)
Answer:
(1.5,6)(15,33) slope=2
Step-by-step explanation:
Answer:
y-2x=3; A(1.5, 6) B(15,33) Slope = 2
Step-by-step explanation:
First thing, you add 2x on both sides and get y=2x+3. Since the equation y=mx+b states that m is the slope, the slope is 2.
2nd step is finding the missing coordinate for a. You plug in 6 as the y in the equation y=2x+3, and then get 2x+3=6. Now it is a simple algrebraic equation and you get x=3/2 or 1.5.
The final step is to solve for B. Using the equation y=2x+3, and substituting in x as 15, you get y=30+3 which equals 33.
I hope this gave you an in depth explanation on solving these problems!
A jogger is running around a 3/4 mile track and he has ran 2/3 around the track how far has the jogger traveled? THANKS!
Answer:
.5
Step-by-step explanation:
3/4 of a mi is equal to 0.75 mi
2/3 of .75 is .5
-6x + 2y = 10 is written in Standard form.
Rewrite it in y=form.
Answer:
y = 3x + 5
Step-by-step explanation:
add 6x to each side to get:
2y = 6x + 10
finally, divide each side by 2 to get:
y = 3x + 5
Answer: Y = 3x +5
Step-by-step explanation:
What is the equation of the graph below?
A.y = - (x - 2)^2 + 3
B.y = (x + 2)^2 + 3
C.y = - (x + 3)^2 + 2
D.y = (x - 3)^2 + 2
Answer:
The answer is letter B.
Step-by-step explanation:
go left 2
up 3
HELPPPP PLEASEE
How much is Vince paid for one hour of work?
A.
$3.60
B.
$9.00
C.
$9.50
D
$12.00
Answer:
B
Step-by-step explanation:
Using the graph, we pick a convenient point: (20, 180)
This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00
Have a good rest of your day
Which angles are vertical angles?
Answer:
vertical angle are angles opposite each other where two lines cross .
2) 2(8r + 5) = 24 + 9r
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
i need help with geometry
The wavelength of a certain type of light is 0.0000014 inches. Write the wavelength in scientific notation.
Answer: [tex]1.4\times 10^{-6}[/tex]
Step-by-step explanation:
Given
The wavelength of light is 0.0000014 inches
Here, seven digits are followed by a decimal point
To convert it to scientific notation, convert it into a fraction i.e.
[tex]=0.0000014=\dfrac{14}{10,000,000}[/tex]
In the denominator, there are 7 zeroes
[tex]\therefore 0.0000014=\dfrac{14}{10^7}\\\\\Rightarrow 0.0000014=14\times 10^{-7}\\\\\Rightarrow 0.0000014=1.4\times 10^{-6}[/tex]
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
Basketball being held!
Step-by-step explanation:
It's complicated to explain, but I hope this helped! :)
heyy! i’ll give brainliest please help.
Answer:
thought i had it but answer is B......
find the value of X to the nearest tenth:
Answer:
13.0
Step-by-step explanation:
sin(65°) × 14.3 would give u 12.9 then u round it to the 13
Out of 18 people in a room, 2 have red hair. What is the probability that a person picked at random from the room does NOT have red hair?
Give an explanation plz:)
Answer :
Total number of people in the room = 18Number of people with red hair = 2Number of people not with red hair = 18 - 2 = 16Probability of picking a person who doesn't have red hair = [tex]\sf\dfrac{Number\:of\:favourable\:outcomes}{Total\:outcomes}[/tex]Probability = 16/18
Reduce the fraction with 2
Probability = 8/9
Answer:
[tex]\implies\boxed{\red{\sf P( not \ having\ red\ hair)=\dfrac{ 8}{9}}}[/tex]
Step-by-step explanation:
Given :-
There are 18 people in the room .Two of them have Red hair.And we need to find the probability that a person picked at random from the room does not have red hair . So for that firstly let us find how many people do not have red hair.
According to Question :-
[tex]\implies n_{(red)}+ n_{(not\ red)}= 18 \\\\\implies 2 + n_{(not\ red)}= 18 \\\\\implies n_{(not\ red)}= 18 -2 =\boxed{\red{16}}[/tex]
Hence the probability is :-
[tex]\implies P( not \ having\ red\ hair)=\dfrac{ n_{(favourable\ outcomes)}}{n_{(possible\ outcomes)}} \\\\\implies P( not \ having\ red\ hair)=\dfrac{ 16}{18} \\\\\implies\boxed{P( not \ having\ red\ hair)=\dfrac{ 8}{9}}[/tex]
Hence the required probability is 8/9 .
Please help! I don't really understand this.
Step-by-step explanation:
11.
Area of rectangle = 408 in²
Length = 3x-2 and width = x
The area of a rectangle is given by :
A = lb
(3x-2)x = 408
x = 12 inch and x = -11.33 in
Neglecting negative value,
The width of rectangle = 12 inch
The length of rectangle = 3x-2 = 3(12)-2 = 34 inch
12.
Base of triangle = 2x+2
Height = x
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\600=\dfrac{1}{2}\times (2x+2)x\\\\600=(x+1)x[/tex]
x = 24 cm and x = -25 cm
Neglecting negative value, x = 24 cm
Base = 2x+2 = 2(24)+2 = 50 cm
Hence, this is the required solution.
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))
Answer:
3) 522
4) 468
Step-by-step explanation:
hello!
3) in the question, it says the cross section is a square, and the area of PQRS is 81.
for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)
with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.
both squares : 81+81=162
both 10 by 9 sides: 90+90=180
both 10 by 9 sides (top and bottom): 90+90=180
total surface area=162+180+180=522
4) for this problem, we can see that the triangle is a right triangle.
to solve the area of the triangle, we can do (9*12)/2=108/2=54.
there are two sides with triangles, so we double 54 (54*2=108)
9 by 10 side: 90
10 by 12 side: 120
now for the last slide, theres no information on the length. the formula for the diagonal is
a^2+b^2=c^2
which is
9^2+12^2=81+144=255=15^2
with this, the area of the rectangular side gives us 10*15 which is 150.
adding it together, we get
108+90+120+150=468.
hope this helps!
You start driving south for 16 miles, turn left, and drive east for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
20
Step-by-step explanation:
(16)2+(12)2=
c2\,\,c^{2}c2
Use the Pythagorean Theorem.
256+144=256+144=256+144=
c2\,\,c^{2}c2
Simplify.
400=400=400=
c2\,\,c^{2}c2
Simplify.
±400=\pm\sqrt{400}=±400
=
c2\,\,\sqrt{c^{2}}c2
Square root both sides.
20=20=20=
c\,\,cc
Simplify. Ignore negative root, as length must be positive.
PLS HELP I NEED HELP
What is the area of this shape?
solve the right triangle. round answer to the tenth.
Answer:
By using the pythagorean property such that GJ^2+HJ^2 = GH^2
GJ = √(GH^2-HJ^2)
GJ √(11881-8281)
GJ = √ 3600
GJ = 60.00 (ANS)
Hope it helps