Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
Ben wants to buy a new collar for each of his 5 dogs. The collars come in a choice of 9 different colors. Step 1 of 2 : How many selections of collars for the 5 dogs are possible if repetitions of colors are allowed
Answer:
59049 ways
Step-by-step explanation:
Given
[tex]Colors = 9[/tex]
[tex]Dogs = 5[/tex]
Required
Determine number of selection (repetition is allowed)
The number of collars is not given.
So, we'll assume that there are enough collars to go round.
If no repetition is allowed, each of the 5 dogs have 9 colours to select from.
i.e.
[tex]Dog\ 1 = 9[/tex]
[tex]Dog\ 2 = 9[/tex]
[tex]Dog\ 3 = 9[/tex]
[tex]Dog\ 4 = 9[/tex]
[tex]Dog\ 5 = 9[/tex]
So, the number of selection is:
[tex]Selection = 9 * 9 * 9 * 9 * 9[/tex]
[tex]Selection = 59049[/tex]
The sum of four times a number and eight is between zero and twelve. Find the range of numbers.
2<x<3 or Anything between negative 2 and 3
Step-by-step explanation:
0<4x+8<12
-8<4x<12
-2<x<3
Sayid wants to buy 3 sweaters for $37 each and 2 scarves for $11 each.
How much will Sayid
spend on these pieces of
clothing?
2 cities are 18 inches apart on a map and 30 miles apart in real life whats the scale factor used on the map.
Answer:
you're scale is 1.6666667
Step-by-step explanation:
because if you do 30 decided by 18 it gives u 1.6666667
Level 3: A plumber charges $50 for a service call plus $75 per hour of service. What will be the total cost for 8 hours of work? *
$650
$600
$475
$400
Answer:
$650
Step-by-step explanation:
$50 + $75(8)
= $50+ $600
= $650
how many solutions does 4x8y=-8 x=-2y+1 have
Answer:
It has no solution
Step-by-step explanation:
I tried to figure it out but I got no solution
Find the point of intersection for the two functions through substitution. Show
your work
f(x) = - 4x + 7
g(x) = 2x + 13
Your answer
hey please help
just tell me all the ones that work
Answer:
D and A and B i think
Step-by-step explanation:
15 7/8 - 5 3/4
please answer giving brainliest not promising but ill give it to best explained answer!
I WILL BRAINLIEST PLS HELP ME I NEED HELP PLS ,
If 2 cm = 5 ft, what is the area of the playground?
Answer:
Step-by-step explanation:
Ok so
2 cm is 5 feet and there are 24
2 = 5
4 = 10
6 = 15
8 = 20
10 = 25
11 = 30
So for this one there are about . 10 feet at the top and 8 feet for the other
Answer:
The scale of the drawing is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale drawing
x-----> the area of the playground in the scale drawing
y----> the area of the actual playground
we have
substitute
simplify
or
Divide by 4 both numerator and denominator
Olivia and Cody both have spinners with the color purple. Olivia determines that the probability of spinning purple on her spinner is 4 out of 12. Cody determines that the probability of spinning purple on his spinner is 3 out of 10. Which of the following statements is true?
The true statements:
A) Olivia's spinner has the highest probability of spinning purple.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
Given:
Olivia and Cody both have spinners with the color purple.
Olivia determines that the probability of spinning purple on her spinner is 4 out of 12.
That means, 4/12 = 0.33
Cody determines that the probability of spinning purple on his spinner is 3 out of 10.
That means, 4/10 = 0.3
0.33 > 0.3
Therefore, Olivia's spinner has the highest probability of spinning purple.
To learn more about the probability;
brainly.com/question/11234923
#SPJ6
Which of the following did you include in your answer? Yes, the graph has been dilated. Using the standard form of the equation, substitute in the values: h = –2, k = 3, x = –1, and y = 0. Solve the equation to get a = –3. Graphically, the parent function follows the pattern of right 1, up 1. Moving 1 unit to the right from the vertex, you can move down 3 units to get to the point (–1, 0), so it has been horizontally compressed.
Answer: just to press anyone it does not mark you for it lol
Step-by-step explanation:
Need done ASAP 25 points!!!!!!!!
Answer:
Step-by-step explanation:
A
Carmen deposits $4000 into an account that pays simple interest at a rate of 3% per year. How much interest will she be paid in the first 3 years?
Answer:
$360
Step-by-step explanation:
I = Prt
I = 4000 * 3 * 3%
I = 12000 * 3% (Convert 9000 and 3% into fractions.)
I =12000/1 * 3/100 (100 and 12000 have a GCF of 100)
I = 120/1 * 3/1 (Disregard the over 1 portion.)
I = 120 * 3 (Multiply 120 by 3 to get 360.)
I = $360
There are 8 bones in a large snake for 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?
Answer:
400!
Step-by-step explanation:
150/3= 50
50*8=400
Answer:
XD lol
Step-by-step explanation:
can some one please help me please
Answer:
x = 65.4
Step-by-step explanation:
I solved this question already. My explanation is here: https://brainly.com/question/20456072
Hope this helped! <3
A restaurant customer left $1.80 as a tip. The tax was 5% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip?
Answer:
it's b
Step-by-step explanation:
16. What statement can be made about the distance between the vertices of a triangle and the circumcenter?
O the circumcenter is equidistant to all three vertices
the circumcenter is a different distance from each of the triangle's vertices
the circumcenter is closer to the highest vertex of the triangle
the circumcenter is closer to the vertices that make up the triangle's base
Answer:
O the circumcenter is equidistant to all three vertices
Step-by-step explanation:
find each sum or difference for 381 1/10 -214 43/100
Answer:
The circled part is the answer.
Answer:
6789475
Step-by-step explanation:
It was estimated that 650 people would attend the baseball game, but 683 people actually attended.
What is the percent error, to the nearest percent, of the estimate?
Answer:
5%
Step-by-step explanation:
33/650=0.0507
0.0507*100=5.07
How do I do this?
My son school just gave him this and he doesn’t know how to do it and I don’t know.
Answer:
I would just search online what are corresponding angles and then base it off of angles like angle number 4 is corresponding because corresponding angles are just angles with the same size and same line
List the next three terms in the following sequence:
1, 2, 4, 8, 16, 32,...
a.
48, 80, 128
b.
64, 96, 160
c.
64, 128, 256
d.
46, 92, 184
Answer:
C.
Step-by-step explanation:
its multiplying each number by 2
On a winter morning, the temperature in pittsburgh is -13
if two fair coins are tossed simultaneously, what are the chances of both coming up 'heads'?
Answer:
i think 1/4
Step-by-step explanation:
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
We name the coins coin 1 and coin 2 for the sake of simplicity.
There are four possible situations:
coin 1 head, coin 2 head
coin 1 head, coin 2 tails
coin 1 tails, coin 2 head
coin 1 tails, coin 2 tails
Only case 1 results in both 'heads'. So the probability is 1/4.
Work out the area of the trapezium ABDE.
Answer:
(half * base 1 * base 2)/height
base 1 is 6 and base 2 is 9
get the height from similarity
6/9 = 8/CE
therefore CE = 72/6
Answer:
30cm²
Step-by-step explanation:
AE/BD = CE/CD
9/6 = CE/8
CE = 9/6 x 8
CE = 12cm
DE = CE - CD
DE = 12 - 8 = 4 cm
½(6 + 9)4 = 30cm²
Find the value of each.
4 boxes of pasta at $1.25 each
Answer:
The total of all the boxes would be $5.00.
Help please I’m begging you
Answer:
subtract to eliminate y
Answer:
B
Step-by-step explanation:
add to eliminate y
can someone please help me with this by showing work? this is very hard for me so i asked here even though my questions never get responses sometimes
Answer and Step-by-step explanation:
The square root of 16 times x to the power of 6 times y to the power of 10 is the same as:
[tex]\sqrt{16x^{6} y^{10} } = \sqrt{16} * \sqrt{x^{6} } * \sqrt{y^{10} }[/tex]
The square root of 16 is 4.
The square root of x to the power of 6 is x to the power of 3.
The square root of y to the power of 10 is x to the power of 5.
So, the answer is:
[tex]4x^{3} y^{5}[/tex]
Hope this helps!
#teamtrees #WAP (Water And Plant)
Jori is 2 years older than Sage but 4 years younger than Victoria. Sage is 3 years less than a score. Sage is 17. In how many years time will jori be 30 yrs old?
please show explanation
Answer:
10
Step-by-step explanation:
if sage is 17 and jori is 2 years older he will be 19 so in 10 years he will be 30
What is 5-2(4a+1)+3a=13
Step-by-step explanation:
5-2(4a+1)+3a=13
5(4a+1)-2(4a+1)+3a=13
20a+5-8a-2+3a=13
20a-8a+3a+5-2=13
15a-3=13
15a=13+3
a=16
15
hope it helps.