Given:
The radius of the circle is 17 in.
Central angle of intercepted arc is 0.7 radians.
To find:
The length s of the intercepted arc.
Solution:
The formula for the length of intercepted arc is:
[tex]s=r\theta[/tex]
Where, r is the radius of the circle and [tex]\theta [/tex] is the central angle in radians.
Substituting [tex]r=17,\ \theta =0.7[/tex] in the above formula, we get
[tex]s=17\times 0.7[/tex]
[tex]s=11.9[/tex]
Therefore, the length of the intercepted arc is 11.9 inches.
The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?
Answer:
10 ft
Step-by-step explanation:
The length of the slide can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
6² + 8² =
36 + 64 = 100
c = √100
c = 10
HELP ME PLEASE!!! I’ll mark brainly
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes
What percent of 21 is 105?
Answer:
20%
Step-by-step explanation:
21/ 105
= 0.2 x 100
20%
Area of the figure!!!
Answer:
A) 51 [tex]m^2[/tex]
Step-by-step explanation:
Please help me A line that includes the point (3, 3) has a slope of 4. What
is its equation in slope-intercept form?
Answer:You can do this two ways: Either use the slope intercept form
y = mx + b with slope m=-2 so y = -2x +b
From that use x=5, y = -3 to solve for b
-3 = -2(5) + b
-3 = -10 + b
10-3 = b
7 = b
Your equation is: y = -2x + 7
OR
Use the point slope formula: y - y1 = m(x-x1)
with m = -2, (x1, y1) = (5,-3)
y-(-3) = -2(x-5)
y + 3 = -2x + 10
y = -2x + 10 - 3
y = -2x + 7
Step-by-step explanation:
How do I figure this out?? I don’t get it
Answer:
20
Step-by-step explanation:
To find the perimeter of a shape, you have to add all the sides together. Since this is a square, this means that all the sides are the same. If one side is 5, that means that all the other sides are 5 as well. So you will have to do 5+5+5+5 or 5 x 4.
Question 3
What is the slope of the line?
Please
Answer:
2
Step-by-step explanation:
A line passes through the point (-9,5) and has a slope of
4/3
Write an equation in point-slope form for this line.
Answer:
y=4x/3+17
Step-by-step explanation:
4/3=y-5/x+9
y=4x/3+17
The equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line that passes through the point (-9,5) and has a slope of
4/3.
The point slope form is given by -
(y - y₁) = m(x - x₁)
Now, we can write the equation as -
(y - 5) = (4/3)(x + 9)
Therefore, the equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
To solve more questions on straight lines, visit the link below-
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Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost
Answer:
$0.42
Step-by-step explanation:
Given data
Dimension
Length=4m
Width=2m
Cost= $1.75
Area= 4*2= 8m^2
Cost per area=1.75/8
Cost per area=$0.21 per m^2
The new poster's dimension
Lenght =2m
Width= 1m
Area= 2*1= 2m^2
Hence if a square meter cost $0.21
Then 2 square meter will cost x
cross multiply
2*0.21=x
x=$0.42
Hence the new poster will cost $0.42
a) Create an example of a trinomial that has a degree of 4:
Answer:
4x^4 + 16x^3 + 182x^2 + x + 87
Step-by-step explanation:
3/2 ( x - 6 ) = -3
What's x?
A. x = -8
B. x = 2
C. x = 4
D. x = 9
Answer:
The answer is C.
Step-by-step explanation:
Had this on a quiz.
what is the value of y
Answer:
9.81
Step-by-step explanation:
Solve these simultaneous equations. Use any method you want
2x+y=22
X-y=5
Answer:
by using substuton method
2x=22-y
x=22-y/2 equation (i)
so substuting the value x in x-y=5
22-y/2-y=5
22-y-2y/2=5
22-3y=10
22-10/3=y
12/3=y
4=y
now substitute the value of y in equation (i)
x=22-y/2
=22-4/2
=18/2
=9
therefore ,the value of x is 9 and y is 4
Step-by-step explanation:
Two friends shop for fresh fruit. Jackson buys a watermelon for $7.85 and 5 pounds of
cherries. Tim buys a pineapple for $4.15 and 4 pounds of cherries. Use the variable p to represent
the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much
more Jackson spent.
Answer:
3.67 + p
Step-by-step explanation:
Jackson
7.85 + 5p
Tim
4.15 + 4p
----------------------
How much more jackson spent
(7.82 + 5p) - (4.15 + 4p)
Group like terms
(7.82 - 4.15) + (5p - 4p)
Simplify
3.67 + p
find the value of X and Y triangle BLT is congruent to Triangle JFK
Using the order of the letters in the triangles find the corresponding sides:
BL is similar to JF
LT is similar to KF
BT is similar to JK
Find the scale between LT and KF
9/12 = 3/4
The smaller triangle is 3/4 the size of the lager one.
This means BT = 3/4(JK) = 3/4(4) = 3
So x = 3, so side BL = 2x = 2(3) = 6
Now to solve for y:
BL is 3/4(JF)
6 = 3/4(y)
Solve for y by dividing both sides by 3/4
Y = 6/(3/4)
Y = 8
X = 3, y = 8
The table below shows the cumulative amount of money that George saved over the course of several weeks.
Time (weeks)
Total Money
Saved
0
$30
1
$45
$62
2
3
$81
4
$95
Assuming a linear model of the savings as a function of time, what is the meaning of the slope of the line of best fit for the graph of the data?
Answer:
Step-by-step explanation:
The meaning of the slope of the line of best fit for the graph of the data is that for each month the balance in the Saving account is increasing at a constant rate.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The meaning of the slope of the line of best fit for the graph of the data is that for each month the balance in the Saving account is increasing at a constant rate.
Learn more about Slope of Line:
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HELP ME 18x84/5(h)6nnnnn
Answer:
(18x845h)(6)n
=1085hnx84
SA = 2pi * r ^ 2 + 2pi * r * h (Use 3.14 for .) How much metal is needed to create a trash can with a height of 4 feet and a base radius of 1 foot? (Find the surface area of the cylinder.) pi square feet Do NOT round your answer.
Answer:123
Step-by-step explanation:
PLZ HELP ME GUYS
Jsjsjsjshs
does anyone know what the answer to this is? I'm so confused
Answer:
d should be correct
Step-by-step explanation:
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Teresa chooses a marble at random, and without putting it
back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.
Answer:
Probability[First marble blue, second is green without replacement] = 1/12
Step-by-step explanation:
Given:
Number of green marble = 3
Number of red marble = 4
Number of blue marble = 2
Total marble = 9 marble
Find:
Probability[First marble blue, second is green without replacement]
Computation:
Probability of an event = Number of favorable outcome / Number of total outcome
Probability[First marble blue] = 2 / 9
Probability[second is green] = 3 / [9-1]
Probability[second is green] = 3 / 8
Probability[First marble blue, second is green without replacement] = Probability[First marble blue] x Probability[second is green]
Probability[First marble blue, second is green without replacement] = [2/9][3/8]
Probability[First marble blue, second is green without replacement] = 6 / 72
Probability[First marble blue, second is green without replacement] = 1/12
Find the area of the polygon
I would like all 3 answers and how to get them (show work).
Thanks!
Answer:
1. 180
2. 52
3. 288
Step-by-step explanation:
The area of a rectangle can be found by multiplying the length by the width, so the area of the rectangle is 15 * 12 = 180. The area of a triangle can be found by multiplying the base by the height and divide by 2, so the area of the triangle is [tex]13*\frac{8}{2} = 13 * 4 = 52[/tex]. The area of a parallelogram can be found by multiplying the length and the height, so the area of the parallelogram is 24 * 12 = 288.
Help fill in the blanks ?
I need Answer Immediately!!!!!!
Answer:
86.21
Step-by-step explanation:
simple math you just add it all up then figure the percentage of 75 out of 87
Total earnings S depends on the number t of hours worked. You earn $6 per hour. How much do you earn for working 10 hours?
a. $60
b. $120
c. $30
d. $90
I NEED HELP WITH THIS!! I WILL OFFER BRAINLIEST FOR THE BEST ANSWER! HOWEVER, ANY ABSURD ANSWERS WILL BE REPORTED!!
CAN SOMEONE HELP MEEEEEEEEEE
Answer:
[tex]c = \sqrt{146} \\ x = 48°[/tex]
A spinner has 4 egual-sized sections labeled A, B, C, and D. It is spun and a fait coin is toad. What is the
probability of spinning "C" and flipping "heads"?
Answer: 1/8
Step-by-step explanation:
4 equal sections
2 coin possibilities
1/4 times 1/2 = 1/8
so 1/8 chance of spinning c and flipping heads
Estimate. 593÷27
please answer fastt
Answer:
22
Step-by-step explanation:
21.962962963
Estimated: 22
Hope it helps plz give brainliest! :D
PLEASE ANSWER QUICKLY
Answer: 17
Step-by-step explanation:
Answer:
B) 17
Step-by-step explanation:
Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.