The semicircle below has diameter $20$. Find the area of the blue region.
Area of the blue region is 61 units²
Area of semi circlearea = π / 2 r²
Therefore,
r = radius
Area of the blue region = area of semi circle - area of triangle
Therefore,
area of triangle = 1/bh
where
b = base
h = height
Therefore,
area of triangle = 1 / 2 × 12 × 16 = 96 units²
area of semi circle = 3.14 × 10² / 2 = 157 units²
Area of the blue region = 157 - 96 = 61 unit²
learn more on semi circle here: https://brainly.com/question/24887556
verify/prove the following trigonometric identity:
(cos(x) + 1)/(tan^2(x)) = (cos(x))/(sec(x) - 1)
Solving each equation:
6(-6x+3)=5(1-7x)
Answer x=-2.6
Step-by-step explanation:
6(-6x+3)=5(1-7x)
-36x+18=5-35x
-36x+13=-35x
-5x=13
13/ -5x
x=-2.6
Which statement describes the end behavior of the function f(x) = 8|x − 1| + 13?
A.
As x approaches negative infinity, f(x) approaches negative infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) is no longer continuous.
The statement that describes the end behavior of the function f(x) = 8|x − 1| + 13 is:
As x approaches positive infinity, f(x) approaches negative infinity.C.
Let's analyze the function.
The function f(x) = 8|x − 1| + 13 involves the absolute value of x − 1, which means that the expression inside the absolute value will always be non-negative.
x approaches positive infinity, the value of x − 1 also approaches positive infinity.
Since the absolute value of a positive number is equal to the number itself, we can simplify the expression to f(x) = 8(x − 1) + 13.
As x approaches positive infinity, the term 8(x − 1) becomes larger and larger, making f(x) approach negative infinity.
The constant term 13 does not have a significant impact on the end behavior as x becomes increasingly large.
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5, 10, 15, 20 what is the a1 and d please help
Answer:
10
Step-by-step explanation:
What is the volume of the cone? Estimate using 3.14 for pi, and round to the nearest tenth
Answer:
V=πr2h3
r Radius
h Height
Right circular cone
Answer:
its going to be 21 or 20 I think I'm not sure
Find the slope of the line
Answer:
Slope is 2
Step-by-step explanation:
To find the slope of a line, pick two points and do y1-y and x1-x
The two points I picked is (2,3) and (5,9)
y1=9
y=3
----------
x1=5
x=2
Subtract, then put it as a fraction.
6/3 or 2.
On Monday, the baker makes 36 blueberry muffins. What is the total number of muffins that the baker makes on Monday?
Someone please help me?
Answer:
jus press alt f4 and a overlay will open up with all the answers
Step-by-step explanation:
how are trapezoids and parallelograms related
Answer :A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. Carlos says, A trapezoid has at least one pair of parallel sides, but it can also have another.
Step-by-step explanation:
P varies jointly with t and inversely with s. If p = 4 when t = 3 and s = 6, find p when t = -6 and s = 2.
Answer:
32
Step-by-step explanation:
Note: For question 15, your teacher will grade your responses to ensure you receive proper credit for your answers.
Juan and Rita both rode bicycles from the park to Main Street. The graphs below represent the time and distance for each student’s ride. Who rode more slowly? Justify your answer.
Answer:
Juan rode more slowly, Rita's graph is much steaper than Juan's. This means that she went faster and in less time. Juan took longer time and went on a slower pace. That's why I chose Juan.
Step-by-step explanation:
Good luck! <3
PLS HELP WILL MARK BRAINLIEST
Answer:
umm hi and plz can i be brainlist i'm new
Step-by-step explanation:
Find the value of c
-x^2 -22x + c
Answer:
−(x+11− square root of 121+c )(x+11+ square root of 121+c)
Step-by-step explanation: hoped I helped
idek the answer please help
Answer:
A.
Step-by-step explanation:
y⁵ ÷ y⁹
= y⁵-⁹
= y-⁴ [ 3rd answer ]
if the perimeter of a rectangle is 26x^2+16x+10 and the length is 8x^2+6x+4, what is the width?
Here is the set up:
P = 2L + 2W
P = 2(26x^2+16x+10) + 2(8x^2+6x+4)
Simplify the right side to find P.
Answer:
5x^2 + 14x + 9
To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.
Nick is making cookies the recipe requires 2 1/3 cup of flour and 1/6 teaspoons of salt. Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
Answer:
1 / 14 tsp salt
(1 over 14)
Step-by-step explanation:
Let's set the scale factor as x.
So,
2 1/3 * x = 1
Divide both sides by 2 1/3, which is equal to 7/3
x = 1 / (7/3)
x = 3 / 7
So, amount of salt would be written as:
(1/6) * (3/7) =
(1/2) * (1/7) =
1 / 14 tsp salt
Enter the slope of the line through the points (4, 15) and (4, 12). *
Answer:
Step-by-step explanation:
slope m= (y2-y1) / (x2-x1) = 15-12 / 4-4 = 3/0 is undefined since we can not divide by 0
slope is undefined so the line is vertical
P(A) = 0.5 P(B) = 0.35 P( A or B) = ?
Answer:
0.5 ≥ x ≥ 0.35
Step-by-step explanation:
Which criterion for triangle congruence will determine the congruence of the two triangles?
Select the solutions to the equation x^2 - 8x + 20 = 0
Answer:
x=10,-2
Step-by-step explanation:
Which of the following is equivalent to 2 2/5 ?
To prove the circles are similar, which sequence of transformations will map circle A with center (-5, -4) and radius 18 to circle M with center (-2, 3) and radius 6?
Question 15 options:
Translate <3, 7> then dilate by scale factor of 3
Translate <-3, -7> then dilate by scale factor of 3
Translate <-3, -7> then dilate by scale factor of 1/3
Translate <3, 7> then dilate by scale factor of 1/3
Answer:
Translate <3, 7> then dilate by scale factor of 1/3Step-by-step explanation:
-2 - (-5) = 3
3 - (-4) = 7
6/18 = 1/3
The sequence of transformation that will map the circle would be:
D). Translate <3, 7> then dilate by a scale factor of 1/3
Define dilationDilation is denoted as the process in which an object gets expanded or widened.
Given that,
Center of circle A = (-5, -4)
Radius = 18
Center of circle M = (-2,3)
To find the dilation,
⇒ [tex]-2 - (-5) = 3[/tex]
⇒ [tex]3 - (-4) = 7[/tex]
= [tex]6/18[/tex]
[tex]= 1/3[/tex]
Therefore, the translation will happen with <3, 7> and the dilation in the scale factor being 1/3.
Thus, option D is the correct answer.
Learn more about "Scale Factor" here:
brainly.com/question/22644306
2(x+3)=x-4 solving equations
Answer:
X=-10 most likely
Step-by-step explanation:
2x+6=x-4
2x-x=-6-4
X=-10
Answer:
x= -10
Step-by-step explanation:
2(x+3) = x-4
Distribute to simplify left side, 2x+6= x-4-x both sides, x+6= -4subtract 6 both sides, x=-10Please help! Thank you. Which rule explains why these triangles are congruent?
Answer:
AAS
Step-by-step explanation:
10x-2x+12=2(3x+5)+2x
Answer: is this pemdas? if not there are no true solutions
Step-by-step explanation:
hope i helped
Answer:
the answer to 10x-2x+12=2(3x+5)+2x is 2
Step-by-step explanation:
step 1.
Open the brackets by multiplying the valves in the brackets by 2:
10x-2x+12=6x+10+2x
step 2.
Add or subtract the like-terms : x values.
8x+12=8x+10
step 3.
substitute by bringing like terms together:
12-10=8x-8x
2=0
ans =2
Determine if two triangles are congruent. If they are, state how you know.
A: SSS
B: SAS
C: HL
D: AAS
help me ASAP please!
Answer:
They are congruent. SSS
Step-by-step explanation:
All the sides are the same, clearly stated by the signs on the borders.
Can you please help me with this I will give brainliest
Answer:
x
Step-by-step explanation:
you do your x and y on anything
Answer:15
Step-by-step explanation:
width - 6
height - 5
6 x 5 / 2 = 15
(Please tell me if I read it wrong, It's not really clear)
Please help me with the questions please ASAP
Answer:
x = 33
Step-by-step explanation:
Because the parallel lines are intersected by two transversals, some parts of this figure correspond to each other. In order to solve this problem, you need to identify which sides correlate (you can tell they correlate because of the AAA property; if you extend the lines, a triangle with 2 parallel lines intersecting it would be formed, so you would see the three triangles are similar):
9 corresponds to 12
x corresponds to (x + 11)
Now, you need to find the scale factor by dividing 12 by 9:
12 ÷ 9 = 4/3
Since you know the scale factor is 4/3, you can now write and solve an equation:
4/3x = x + 11 (given)
1/3x = 11 (subtract x from both sides)
x = 33 (multiply both sides by 3)
The Grade 8 learners decided to start living more healthily. They will either jog or cycle.
There are 125 Grade 8 learners and they jog and cycle in the ratio 3:2. Calculate how many
learners participate in each sport?
Step-by-step explanation:
(125/5)×3=75
75 participate jogging
25×2=50
50 participate in cycling