Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
Line p is parallel to line q. Which proof explains why the sum of the interior angles of the triangle must be 180⁰?
Answer:
See proof below
Step-by-step explanation:
Find the diagram attached.
From the diagram, sum of angle on the straight line l is 180degrees that is:
<A' + <B' + <C' = 180° .... 1
Also note that
<A = <A' (corresponding angle) ...2
<B = <B' (corresponding angle) ... 3
<C = <C' (vertically opposite angle) ...4
Substitute 2, 3 and 4 into 1, we will have:
A+B+C = 180°
This shows that the sum of the interior angles of the triangle A B and C is 180°
What value of x makes this statement true?
3.2 = 2x + 12
Answer:
-4.4
Step-by-step explanation:
What trig function do you use to find x
Answer: Sine
Step-by-step explanation:
From the point of the angle we can see that x is the opposite. Since x is the opposite and the hypotenus is given then from SOHCAHTOA the trigonometric function used I finding x is sine.
Answer:
sine
Step-by-step explanation:
have a great day and I hope helpful
please answer below :-)
Answer:
Ur answer is B!!!
Step-by-step explanation:
I have no time to explain but trust me ive had this question
The probability of getting a sum of 7 or 11 by rolling two dice is 2/9 True or false please answer my question
Answer:
IT IS FALSE
Step-by-step explanation:
Naveen earns Rs 55,000 per month .He spends 3/5 of his income every month and saves the rest of the money .Find his monthly savings ?
Answer:
Rs.22000
Step-by-step explanation:
Given data
Naveen earns Rs 55,000 per month
He spends 3/5 of his income every month
Let us find the amount he spends
=3/5*55,000
=165000/5
=Rs.33000
Hence the savings is
= 55,000-33000
=Rs.22000
YA'LL LOOK
https://picrew.me/image_maker/678875/complete?cd=CoL7ZrEndz
whats the square root of 81
Answer:
Square root of 81 is 9
Step-by-step explanation:
The numbers 360 and 400, written as the product of its prime factors, are
360 = 3 2 x 2 3 x 5 400 = 2 4 x5 2
a) Using the fact 400 = 2 4 x5 2 , find the square root of 400.
Answer:
20
Step-by-step explanation:
[tex] \sqrt{6 {}^{4} } [/tex]
Answer:
6²
Step-by-step explanation:
[tex]\sqrt{6^4}[/tex][tex]6^2[/tex][tex]36[/tex][tex]---------[/tex]
hope it helps..
have a nice day/night!!
Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?
Answer:
11502
Step-by-step explanation:
use the scatter plot and the trend line to show answer a-c. Write an equation for the trend line. predict the value of y when x =21 Predict the value of x when y = 150
Answer:
See Explanation
Step-by-step explanation:
This question is incomplete, as the required scatter plot is not included in the question. I will answer your question with the attached plot.
Solving (a): The equation
Pick any [tex]two[/tex] [tex]points[/tex]on the [tex]trend[/tex] line
[tex](x_1,y_1) = (30,40)[/tex]
[tex](x_2,y_2) = (80,70)[/tex]
[tex]y = 0.6x + 22[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
[tex]m = \frac{70 - 40}{80-30}[/tex]
[tex]m = \frac{30}{50}[/tex]
[tex]m = 0.6[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 0.6(x - 30) + 40[/tex]
[tex]y = 0.6x - 18 + 40[/tex]
[tex]y = 0.6x + 22[/tex]
Solving (b): y, when [tex]x = 21[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]x = 21[/tex]
[tex]y = 0.6 * 21 + 22[/tex]
[tex]y = 12.6 + 22[/tex]
[tex]y = 34.6[/tex]
Solving (c): x when [tex]y=150[/tex]
[tex]y = 0.6x + 22[/tex]
Substitute [tex]y=150[/tex]
[tex]150 = 0.6x + 22[/tex]
Collect like terms
[tex]0.6x = 150 -22[/tex]
[tex]0.6x = 128[/tex]
Solve for x
[tex]x = \frac{128}{0.6}[/tex]
[tex]x = 213.3[/tex]
Use the diagram to answer the question.
35.6 m
23.4 m
15.2 m
23.4 m
What is the area of the triangle?
OA. 82.40 m²
B. 97 60 m2
Answer:
B97.60
Step-by-step explanation:
I got b bc if u add all the number up u get that answer.
Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3
how is 4(x+3) equal to 12+4x
Answer:
When distributed, 4(x+3) = 12+4x
Factor the expression. 10y+15+25y
Answer:
25y+15
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5(7y+3)
Step-by-step explanation:
What is the perimeter of the kite?
a.44
b.140
Answer:
B.) 140 is your answer for your problem
What were the dimensions of the original photo? 11 inches by 11 inches 5 inches by 5 inches 3 + 4 StartRoot 2 EndRoot inches by 3 + 4 StartRoot 2 EndRoot inches 3 4 StartRoot 2 EndRoot inches by 3 4 StartRoot 2 EndRoot inches
Answer:
11x11 inches
Step-by-step explanation:
You are missing the first part of the problem, which is the following:
"Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo. What were the dimensions of the original photo?"
With this in mind, we just need to solve the equation and determine the value of x. The equation is:
(x - 3)² = 64
Solving this, we have:
x - 3 = √64
x - 3 = 8
x = 8 + 3
x = 11Therefore, we can conclude that the original dimensions of the photo are 11x11 inches.
Hope this helps
Answer:
11x11
Step-by-step explanation:
The sum of two consecutive even integers is 118. Find the smaller of the two integers.
Answer:
58 + 60
Step-by-step explanation:
Even integers are always seperated by 2.
find the quotient of 45÷ 5
Given: sintheta=5/13
Find sin: 2theta
Answer:
sin 2θ=120/169
Step-by-step explanation:
Alexia surveyed 50 classmates about their favorite ice cream flavors. Each
classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
Coffee
14%
Chocolate
42%
Vanilla
Strawberry
18%
How many more of Alexia's classmates chose chocolate than chose vanilla?
Answer:
8
Step-by-step explanation:
What is Limit of h (x) as x approaches 10 plus? 12.5 13 18.5 19
Answer:
the answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A dog shelter had 19 puppies last month. This month, 38 puppies are at the shelter. What is the percent of change?
im in 7th grade
Answer:
I believe the answer MAY be 1.9%
IF U ANSWER THIS U ARE SWAG
Is the triangle equilateral, isosceles, or scalene? Pls explain ur answer too
Find the volume of a drum with a radius of 7 inches and a height of 15 inches
Answer:
pi*15*7^2=735pi=2309 (to the nearest whole number)
The deposit on one can is $0.05, what is the deposit on 23 cans?
Answer: $1.15
Step-by-step explanation:
Data 1 can(c)=0.05
23 cans(c)=x
Only step, multiply 23x0.05=1.15
Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c
Answer: $1.15(Don't forget the dollar sign)
I hope this helps!
URGENT!!
The length of a rectangle is five more than double the width. Find the dimensions if the
perimeter is 88m.
Answer:
13, 31
Step-by-step explanation:
Set the width as x.
Length: 2x + 5
Perimeter:
(x) + (2x + 5) + (x) + (2x + 5) = 88
Simplify.
6x + 10 = 88
Solve.
6x = 78
x = 13
Substitute this into the previous equations
Width: 13
Length: 31
Answer:
The length is 31m and the width is 13m.
Step-by-step explanation:
Start by translating the word problem into an equation. 5 more than double the width is written as 2w + 5. Then substitute that into the equation for the perimeter. It should look something like this:
88 = 2(2w +5) + 2w
Then simplify by combining like terms and solve for the width (w).
88 = 6w + 10
78 = 6w
13 = w
Now that we have the width, we can plug it back into the equation we made for the length.
l = 2w + 5
l = 2(13) + 5
l = 26 + 5
l = 31
I hope this could help!
If the rectangle below is enlarged using a scale factor of 1.5, what will the perimeter of the new rectangle be?
Group of answer choices
24 in
54 in
16.5 in
33 in
Answer:
33 in
Step-by-step explanation:
hope this helps i think it's right
Find the area of the regular nonagon
Answer:
267.3
Step-by-step explanation:
area of a regular polygon =
(perimeter * apothem)/2
perimeter: 9 * 6.6 = 59.4
area: 59.4 * 9 = 534.6
534.6/2 = 267.3
area = 267.3
Solve.
-7} + (-5) + 8 = 0
6
-21
-4.5
3
Answer: -4=0
Step-by-step explanation: