please help! What fractional part of one semicircle does the labeled angle represent? Express
your answer as a fraction in simplest terms. Then, express the labeled angle in radian
measure.
280°
Answers
Let's consider what the problem wants us to find:
fractional part covered by the labeled angleangle in radiansLet's find the fractional part:
⇒ the fractional part is equal:
[tex]\frac{degree-covered-by-angle}{total-angle} =\frac{280}{180} =\frac{2*2*7*10}{2*2*3*3*5} =\frac{7*10}{3*3*5} =\frac{70}{45}=\frac{14}{9}[/tex]
Answer: The angle 280 degrees covers 14/9 of a semicircle.
Let's find the angle measure in radians:
⇒ we know that [tex]2\pi[/tex] radians are equal to 360 degrees
⇒ to convert any degree to radians, you must multiply [tex]\frac{\pi }{180}[/tex]
so [tex]280*\frac{\pi }{180} =\frac{28}{18}*\pi =\frac{28\pi }{18}=\frac{2*14*\pi }{2*9} =\frac{14\pi }{9}[/tex]
Answer: The angle 280 degrees in radians is [tex]\frac{14\pi} {9}[/tex] which in terms of [tex]\pi[/tex] is
14/9
Hope that helps!
Related Questions
A 17-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 10 feet from the base of the building. How high up the wall does the ladder reach?
Answers
Answer:
13.747... meters
Step-by-step explanation:
Refer to image attached~
Let AC represent the length of the ladder.Let BC represent the distance from the base of the ladder from the base of the building.Let AB (x) represent the height of the building.In this case, the longest side of the triangle formed is AC. Thus, our hypotenuse is AC (17 m).
To determine the height of the building, we need to use pythogoras theorem.
Pythogoras theorem: (Hypotenuse)² = (Side)² + (Side)²
⇒ (17)² = (10)² + (x)²⇒ 289 = 100 + (x)²⇒ 289 - 100 = (x)²⇒ 189 = (x)²Take square root both sides:
⇒ √189 = √(x)²⇒ x = √189 ≈ 13.747... metersAnswer:
13.75 ft (nearest hundredth)
Step-by-step explanation:
The ladder creates a right triangle with the wall and ground, where:
leg (base) = groundleg (height) = wallhypotenuse = ladderPythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = 10 ftc = 17 ftSubstitute the given values into the formula and solve for b:
⇒ 10² + b² = 17²
⇒ b² = 17² - 10²
⇒ b² = 289 - 100
⇒ b² = 189
⇒ b = ±√(189)
As distance is positive, b = √(189) ft only
Therefore, the ladder reaches 13.75 ft (nearest hundredth) up the wall.
If you borrow $100 for 3 years at an
annual interest rate of 9%, how
much will you pay altogether?
Answers
Answer:
$127
Step-by-step explanation:
[tex]i = \sf \frac{prt}{100} [/tex]
=> 100 × 3 × 9/100
=> 3×9 = 27
Total amount= 27 + 100
=> 127
Answer :-- $127
Answer the questions below based on the two quadratic functions.
Answers
Answer:
The vertex of Function 2 is at (2,7)
The function that has the smaller minimum value is Function 1
The smaller minimum value is 3
Step-by-step explanation:
hope this helps :)
PLEASE HELP!! I NEED HELP ON MY MATH
Answers
Answer:
750 and 3.125
Step-by-step explanation:
a = 750
b= 3.125
True or False: You can use the Pythagorean Theorem to determine if a triangle is a right triangle or not.
Answers
Answer:
True
Step-by-step explanation:
Definitely true. If the shorter legs of the given triangle are a and b and the longest side is c, then if a^2 + b^2 = c^2, the triangle is a right triangle. Otherwise it is not a right triangle.
Which is more, 6 quarts or 26 cups?
Answers
Answer:
26 cups
Step-by-step explanation:
24 cups is 6 quarts, 25 cups is 6.25 quarts, and 26 cups is 6.5 quarts.
Therefore, 26 cups = 6.5
6.5>6
26 cups is larger than 6 quarts.
Please answer number 11 thank you
Answers
Which table contains input-output values of the function y = 2x - 7?
Answers
Answer:
The input-ouput is B.
Step-by-step explanation:
By plugging in 3, -4, and 5 into the x-values of the equation [tex]f(x)=2x-7[/tex] you provided you get
[tex]f(3) = 1 , f(-4) = -15 , f(5) = 3[/tex]
If ur good with fractions percentages and decimals this one is for you !!!!
Check pic
Thanks :] xx
Answers
Answer:
1 20%, 0.2
2 1/4, 0.25
3 50%, 0.5
4 6/9
Step-by-step explanation:
Gavin has 300 pencils
15% of the pencils need to be sharpened
Work out how many pencils need to be sharpened
Answers
Answer:
45 pencils
Step-by-step explanation:
15%/100% ×300
15% ×3
=45 pencils that needed to be sharpened and it is at easy as that
15% of 300 =
10%= 30
5%= 15
30+15 = 45
45 pencils need to be sharpened
30. Tina went to batting cages with $20. She rented a bat for $3. 25 and
paid $3 for each round. What was the greatest number of rounds Tina
could have played?
Answers
Answer:
5
Step-by-step explanation:
Tina started with $20, but had to spend $3.25 on the bat.
$20-$3.25 = $16.75, which is all she has left for rounds.
Each round costs $3.00
$16.75 divided by $3.00 comes out to 5.58 rounds, but since she can't play 1/2 a round, that means she could only play 5 rounds
5 rounds X $3.00 per round comes to $15.00
2 1/2 * 7 7/3 *- 5 3/7
Answers
Answer:
-126.66
Step-by-step explanation:
£££££££££££££₩₩₩¥₩₩
A square prism has a height of 12 inches and a base with an area of 30 square inches. A cylinder is inscribed inside the prism. Which statement about the volume of the cylinder, V, is true?
Answers
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
What is a rectangular prism?A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A square prism has a height of 12 inches and a base with an area of 30 square inches.
A cylinder is inscribed inside the prism.
The volume of the square prism will be
[tex]V_{square} =Base[/tex] [tex]area*Height[/tex]
[tex]V_{square}=30*12[/tex]
[tex]V_{square} =360[/tex] [tex]in^3[/tex]
The volume of the cylinder will be
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the base circle of the cylinder will be
[tex]r=\frac{\sqrt[]{30}}{2}[/tex]
[tex]r=2.7386[/tex]
Then volume will be
[tex]V_{cylinder}=\pi *(2.7368)^2*12[/tex]
[tex]V_{cylinder}=282.74[/tex] [tex]in^3[/tex]
The volume of the cylinder (282.74 in.³) is less than the volume of the square prism (360 in.³). Then the correct option is C.
More about the rectangular prism link is given below.
https://brainly.com/question/21308574
The endpoints of CD are (-2,-4) and D(6,2). What are the coordinates of the midpoints of CD
Answers
Answer:
(2,-1)
Step-by-step explanation:
[tex]midpoint = ( \frac{ - 2 + 6}{2} , \frac{ - 4 + 2}{2} ) \\ [/tex]
[tex]midpoint = ( \frac{4}{2} , \frac{ - 2}{2} ) \\ [/tex]
[tex]midpoint = (2, - 1)[/tex]
On the last day of vacation, the Hernandez family drove 252 miles from a state park to their home. That drive covered 35% of the total distance the family traveled during their vacation. What is the total distance the Hernandez family traveled during their vacation
Answers
Answer:
720 miles
Step-by-step explanation:
We are given a distance and a fraction of the total that it represents. This lets us write the relation ...
252 = 0.35D . . . . . . where D is the total distance traveled
252/0.35 = D = 720 . . . . divide by the coefficient of D
The Hernandez family traveled 720 miles during their vacation.
im stuck please help
Answers
Answer:
it's 720
Step-by-step explanation:
6x10=60x12=720
Fish weighs 135 pds the scale has error of up to 5%. What is the answer
Answers
3k^2+12k-7kn-28n square meters and a length of 3k-7n meters.
What expression represents the width of the rectangle?
Answers
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
Find The Mode Of The Data 2, 4, 5, 6, 7, 2, 3, 4.
Answers
Answer:
2 and 4 is repeated mode of the data
Answer:
2 and 4
Step-by-step explanation:
The mode is the value of highest frequency in the data set2 and 4 each repeat twice whereas all other numbers only appear once2 and 4 are the modeTransversal Problems with Equations (Level 1)
Delta Math
Answers
Answer:
x = 15
Step-by-step explanation:
Where a transversal crosses parallel lines, alternate exterior angles are congruent. This lets you write an equation relating the measures of the marked angles.
__
(6x +8)° = (7x -7)° . . . . the angles have the same measure
15 = x . . . . . . . . . . . . divide by °, add 7-6x
Complete the following statement.
The money used in Jordan is called the dinar. The exchange rate is US $3 to 2 Jordanian dinars. To receive 22 dinars, you need to exchange
U.S. dollars.
Answers
Answer:
$33
Step-by-step explanation:
$3 = 2 Dinars
$x = 22 Dinars
3/2 = x/22
multiply 3 by 22 and divide by 2
multiply 2 by x and divide 2
which will give answer to $33.
Don't know if it makes sense
x^2-y^2=16
y^2=-x+4
I need help to solve the system of equations
Answers
Please brainlist
Which will result in a difference of squares? (negative 7 x 4)(negative 7 x 4) (negative 7 x 4)(4 minus 7 x) (negative 7 x 4)(negative 7 x minus 4) (negative 7 x 4)(7 x minus 4)
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The expression that will result in the difference in the squares is (7x+4)(7x-4).
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The difference between the squares can be written as,
[tex]a^2-b^2=(a+b)(a-b)[/tex]
The expression that will result in the difference in the squares will be
[tex](7x+4)(7x-4)=(7x)^2-(4)^2[/tex]
Thus, the expression that will result in the difference in the squares is (7x+4)(7x-4).
Learn more about Expression:
https://brainly.com/question/13947055
Pls hurry and help me pls.
Answers
What’s the answer????
Answers
Answer:
5
Step-by-step explanation:
The line segment reflects across the x-axis. What are the new coordinates for the endpoints? How does the transformation affect the length of the line segment?A) (−4, −8) and (4, 1); The length of the segment does not change.B) (−4, −8) and (−4, −1); The length of the segment does not change.EliminateC) (4, −8) and (−4, 1); The transformed segment is longer.D) (4, 8) and (4, 1); The transformed segment is shorter.
Answers
Answer:
The length does not change
Step-by-step explanation:
Only dilations will change the size of something, the line is just changing locations. because it is across the x axis, apply the rule
x,-y
-4, -8
4, 1
In ΔPQR, ∠P and ∠Q are complementary angles.
.
Answers
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
hope this helps if not please let me now
Answer:
P + Q = 90
P = 90 - Q
Cos (p) = cos (90-Q) = sinQ = 4/5 (given)
You can find CosQ from the triangle of Q
CosQ = sqrt (5^2 - 4^2) / 5 = 3/5
Required = CosP + CosQ = 4/5 + 3/5 = 7/5
Step-by-step explanation:
please help!!! asap!!!
show all the steps that you use to solve this problem in the space provided
Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.
Answers
Answer:
x = 11 cos 22 = 11 * .927 = 10.2
Sofia used colorful glass beads to make a
bracelet. She repeated the same pattern
of colored beads six times. If the length of
one pattern measures three fourths of an
inch in length, what is the total length of
the bracelet Sofia made?
Answers
Answer:
11.424cm
Step-by-step explanation:
3/4 of an inch = length of one pattern.
3/4 = 0.75 ( 1.905cm)
1.905 x 6 = 11.424cm
The total length of the bracelet Sofia made is 11.424 centimetres.
Note: I am not sure if this is completely right and meant to be in cm but I tried to help :)
nicole sells breaded necklaces .each large necklace sells for $5.30 and each necklace sells for $3.80 . how much will she earn from selling 4 large necklaces and 6 small necklaces
Answers
Answer:
$41.60
Step-by-step explanation:
5.30 *4= 21.20
6*3.80=20.40
20.40+21.20=41.60