Answer:
The angle of the shaded region is 124.9°
Step-by-step explanation:
Since there's an region inside the circle that is shaded and has an area of 34 pi square units, we can apply the circle's sector area's formula in order to find the angle of this region. The formula is given by:
[tex]\text{sector area} = \frac{\text{angle}*\pi*r^2}{360}\\[/tex]
Applying the data from the problem gives us:
[tex]34*\pi = \frac{angle*\pi*(7*\sqrt{2})^2}{360}\\34 = \frac{angle*(49*2)}{360}\\98*angle = 34*360\\angle = \frac{12240}{98} = 124.9\°[/tex]
The angle of the shaded region is 124.9°
The height of a triangle is 6x and the base is (3x + 10) cm. The area of the triangle is 816 sq. cm. What are the dimensions of the base and the height of the triangle?
Answer:
Height: 48
Base: 34
Step-by-step explanation:
The formula for a triangle is 1/2(base)(height)
1/2(3x+10)(6x) = 816
18x² + 60x = 1632
18x² + 60x - 1632 = 0
Then, we use the Quadratic formula
x = (-60 ± √3600 + 117,504)/36
x =( -60 ± 348/36)
x = 288/36
x = 8
3(8) + 10
= 34
6(8) = 48
Therefore the dimensions are:
Height: 48
Base: 34
To eliminate the y terms and solve for x in the tewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First equation: 4x - 3y = 34
Second equation: 3x + 2y - 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by -3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by -4.
Answer:
First answer option:
"The first equation should be multiplied by 2 and the second equation by 3. "
Step-by-step explanation:
The first equation should be multiplied by 2 and the second equation by 3. This way the term in y in the first equation becomes "(2) (-3y) = -6y", and the term in y in the second equation becomes "(3) (2y) = 6y" so when added term by term, the term in "y" disappears.
That is represented by the first statement in your list of possible answers
Write an equation in point-slope form for the line through the given point with the given slope.
(–3, –7); m = -6/5
Answer:
y+7= -6/5(x+3)
Step-by-step explanation:
Point slope form for a line is given by
y-y1 = m(x-x1) where m is the slope and (x1, y1) is a point on the line
y - -7 = -6/5(x - -3)
y+7= -6/5(x+3)
if I had to pay 3400 dollars but I had a 25% off coupon how much would I have to pay.
Answer:
You will pay 2550
Step-by-step explanation:
To find the discount, take the 3400 times the 25%
3400 * 25%
850
Subtract this from the original price
3400-850
2550
Answer:
[tex]2550 \: \: \: dollers[/tex]
Step-by-step explanation:
[tex]3400 \times \frac{25}{100} = 850 [/tex]
[tex]3400 - 850 = 2550[/tex]
You have to pay only 2550 dollars.
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve the equation: 6-3(-2-4x)= 2(3(x-4)+7)
A: x= 11/3
B: x=4
C: x= -29/6
D: x= -11/3
Answer:
the answer is d: x=-11/3
I need help with this
Answer:
it's either x=75° and y =85°
or x= -75° and y= -85°
because it's below!
Answer:
x=95°
y=105°
Step-by-step explanation:
opposite angle of a cyclic triangle are supplementary.
x+85=180
x=180-85=95°
y+75=180
y=180-75=105°
This pie chart shows the number of books a bookstore sold in four months.What percentage of all the books that were sold in these 4 months,were sold in April?
Answer:
I would say C.
Step-by-step explanation:
Which angles are corresponding angles?
Check all that apply.
8
A. 2 and 7
B. 2 and 6
C. 4 and 6
D. 3 and 6
E. 3 and 7
F. 4 and 8
Answer:
2 and .6.
4 and 8.
3 and
Find the midpoint of the line segment joining points A (8,-7) B (6,3)
So the right answer is (7,-2)
Look at the attached picture
Hope it will help you
Good luck on your assignment
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
Midpoint: (1, -7/2)
Step-by-step explanation:
Midpoint formula is given. Simply plug in the numbers corresponding to the variables and you should get your answer.
Answer:
Step-by-step explanation:
[tex](9,2) . (-7,-9)\\x_{1} =9\\y_{1} =2\\x_{2} = -7\\y_{2}=-9\\ Midpoint =[\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2}]\\M.P = [\frac{9+(-7)}{2} , \frac{2+(-9)}{2} ]\\M.P = [\frac{9-7}{2} , \frac{2-9}{2} ]\\M.P = [\frac{2}{2} , \frac{-7}{2} \\M.P = [1 , -7/2][/tex]
PLZ I need URGENT help
Which of the questions below are statistical questions? Select all that apply.
A) How many inches tall is each person in your class?
B) How many pets does each student in your class have?
C) How fast does each student in your PE class run the mile?
D) What is the last book you finished reading?
Answer:
B. How many pets does each student in your class have?, C) How fast does each student in your PE class run the mile?, and A) How many inches tall is each person in your class?
Explanation:
These answers that I listed I would think would be correct because it’s saying which questions are statistical.
What type of triangle is this triangle?
acute isosceles
obtuse scalene
acute scalene
obtuse isosceles
Answer:
Scalene
Step-by-step explanation:
Because all of the sides are different lengths
Which type of lending Institution is being described?
ALI
Is formed by a group of people who become its members and deposit their money with the institution. They can take loans
from the institution's available funds.
Answer:
Credit or Cooperative Union
Step-by-step explanation:
Lending institutions can be defined as institutions that provide financial support to people or individuals by making loans available to people who need them.
Lending Institutions can be privately owned and operated or it can be publicly (government) owned and operated. The loans that they make available to people come from the money deposited in such institutions by people or other institutions.
Some types of Lending institutions that we have are:
a) Credit ( Cooperative) Unions
b) Commercial banks
c) Online banks e.t.c.
The type of lending institution that s formed by a group of people who become its members and deposit their money with the institution and can take loans from the institution's available funds is called the CREDIT(COOPERATIVE) UNION.
Please help me on this question.
answer:
A) The angles EA and AG are not congruent.
B) m∠F = 90°
m∠E + m∠F = 180°
90 ° + x = 180° (subtract)
x = 90°
C) Both ∠HEF and ∠AGF are congruent becuase they both have the same angle. Try and measure it using a protractor.
ASAP! Need to find the surface area! marking the brainliest!
Answer:
346
Step-by-step explanation:
like i multiply 5 by 4 twice
2 by 9 twice
2 by 10 twice
9 by 10 twice
Select the conic section that represents the equation. x2 + y2 = 8
Answer:
Step-by-step explanation:
i think it is a circle
Answer:
Circle
Step-by-step explanation:
The equation for a circle is in the form (x - h)² + (y - v)² = r², where (h, v) is the center of the circle and r is the radius.
A circle with its center at the origin will have an equation that looks like x² + y² = r², which is the form this equation is in.
That's how we know this equation belongs to a circle!
Hope this helps :)
What is the area of this figure?
Answer:
290.5 square miles
Step-by-step explanation:
Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;
[tex]Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles[/tex]
Solution; 290.5 square miles
BEST ANSWER GETS TO CHOOSE BRAINLESST OR FOLLOW!
Answer:
Step-by-step explanation:
5. 70 L = 70000 mL
6. 10 mL = 0.01 L
7. 1.2 L = 1200 mL
8. 3500 mL = 3.5 L
9. 4 L = 4000 mL
10. 230 mL = 0.23 L
11. 6.21 L = 6210 mL
12. 5000 mL = 5 L
Answer:
The guys above or below me is correct
Step-by-step explanation:
Andi has 8 pounds of chocolate. If she wants to give each of her friends 1/3 of a pound of chocolate, how many friends can receive chocolate?
Answer:
24
Step-by-step explanation:
So basically for every 1 pound of chocolate 3 friends can get 1/3 pounds
now you want to find out how many for 8 pounds
You simply multiply the amount of friends for 1 pound (3) by the total amount he can distribute (8)
you get 24
Solve the following, what is 10=4y?
Answer:
y=2.5
Step-by-step explanation:
10=4y
4y=10
y=10/4
y=5/2
y=25/10
y=2.5
Which number line represents the solution set for inequality?
Answer:
Third graph down
Step-by-step explanation:
2x -6 ≥ 6(x-2)+8
Distribute
2x - 6≥6x -12+8
Combine like terms
2x - 6≥6x -4
Subtract 2x from each side
2x-6-2x ≥6x-2x-4
-6 ≥4x-12
Add 4 to each side
-6+4 ≥4x-4+4
-2 ≥4x
Divide by 4
-2/4 ≥4x/4
-1/2≥x
Closed circle at -1/2
Line going the the left
Please help !!!!!’ Worth lots of points
Answer:
answer is the seconddd one
What is the value of x
Answer:
52°
Step-by-step explanation:
By remote interior angle theorem of a triangle:
115° = 63° + x° ( x is the vertical angle of one interior angle of the triangle)
x° = 115° - 63°
x° = 52°
x = 52
Find the simplest pattern and insert the missing terms of the sequences: 1,5,6,11, ...,28 Find the ...
Answer:
Step-by-step explanation:
The pattern is the same as Fibonacci numbers i.e. sequence satisfy following reccurence relation:
[tex]a_n = a_{n - 1} + a_{n - 2}[/tex].
So we can continue this sequence very easily:
1, 5, 6, 11, 17, 28
The simplest pattern and the missing terms of the sequences: 1,5,6,11, 17, 28.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
The pattern is the same as Fibonacci numbers i.e. sequence satisfies the following recurrence relation,
[tex]a_n = a_{n-1 }+ a_{n-2[/tex]
So we can continue this sequence
1, 5, 6, 11, 17, 28
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
question attached plz answer
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is [tex]\frac{-7+2}{2}[/tex] = [tex]\frac{-5}{2}[/tex] = - 2.5
The probability of choosing a number less than 7 and then a multiple of 4 is?
Answer:
Total probability (first tile less than 7, second tile multiple of 4) = 2/21
Step-by-step explanation:
The question is not complete as the number of tile are not given. Howover, I could find the complete question on internet so I would solve for that. I hope it helps. (SEE THE ATTACHMENT)
QUESTION
You randomly choose a tile. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. THE PROBABILITY OF CHOOSING A NUMBER LESS THAN 7 AND THEN A MULTIPLE OF 4 IS?
ANSWER
As we can see in the picture that there are a total of 7 tiles, so n = 7
These tiles are numbered as 5, 6, 7, 8, 9, 10, 20
Tiles having a number less than 7 = 5, 6
No. of tiles having a number less than 7 = 2
So probability of choosing a number less than 7 is = 2/7
After picking one tile and without replacing it, total no. tiles become n = 6
Tile having multiples of 4 = 8, 20
No. of tiles having multiples of 4 = 2
Probability of choosing a second tile with multiple of 4 = 2/6
Total probability (first tile less than 7, second tile multiple of 4) = (2/7) · (2/6) = 4/42 = 2/21
Find the absolute value of the complex number 5 - 4i.
a. -6.4
c. 6.04
b.6
d. 6.4
76,80,88,95,100,101,?
Which number comes next in this sequence?
Answer:
112
Step-by-step explanation:
76->88->100->112
Use the map shown below to find the distance between cities A and B to the nearest tenth.
Answer:
6.3
Step-by-step explanation:
√6²+2²=√40= 6.3
Answer:
Distance between A and B is approximately 6.3 units
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this question. Notice that the distance in between the two points (straight segment that joins both) can be identified to the "hypotenuse of a right angle triangle shown in the attached image. Such triangle has two legs that measure 2 units one of them and 6 units the other one.
The length of the associated hypotenuse is given then by:
[tex]distance=\sqrt{2^2+6^2}\\distance=\sqrt{40} \\distance=6.32455[/tex]
So this rounded to the nearest tenth is:
6.3 units
2 Points
Identify the range of the function shown in the graph.
O A. yis all numbers.
OB. -1 sys1
O C. y>-1
O D. {-1,1)
Answer:
B. -1 ≤ y ≤ 1
Step-by-step explanation:
The range is the vertical extent of the function. Here, it appears the function is a sine function (y=sin(x)). The least value of the function is -1; the greatest value is +1. The function can take on any value between these extremes.
An appropriate description of the range is ...
-1 ≤ y ≤ 1
_____
Comment on problem presentation
Please use the appropriate math symbol (≤) to represent "less than or equal to." If you cannot use the equation editor or symbols page provided by Brainly, you can use the combination <= to mean the same thing. "S" or "s" does not convey the same information.
