Answer:
Arc EPF is 240°
Step-by-step explanation:
Since the quadrilateral, EFGH is a trapezoid and EF is parallel to GH, we have;
∠HGF + ∠GFE = 180°
∠GHE + ∠GFE = 180°
∠HGF + ∠HEF = 180°
∴∠HEF = ∠GFE
In ΔHEF and ΔGFE
∠EHF = ∠EGF (Angles subtending the same segment)
With side EF common to both triangles and ∠HEF = ∠GFE , we have;
ΔHEF ≅ ΔGFE (Angle Angle Side rule)
Hence, side FG = EH
For cyclic trapezoid side FG = EH
The base angles subtended by GH = 70
Arc EH = x² - 2·x
Arc FG = 56 - 3·x
Therefore;
70 + x² - 2·x + 56 - 3·x + arc EPF = 360 .............(1)
Also since the equation of a circle is (x-h)² + (y-k)² = r², where the center of the circle is (h, k), then as EF is a displacement of say z from GH, then arc EH = FG which gives;
x² - 2·x = 56 - 3·x
x² - 2·x - 56 + 3·x = 0
x² + x - 56 = 0
(x - 7)(x + 8) = 0
Therefore, since x > 0 we have x = 7
Plugging in the value of x into the equation (1), we have
70 + 7² - 2·7 + 56 - 3·7 + arc EPF = 360 .............(1)
70 + 70 + arc EPF = 360
arc EPF = 360 - 140 = 240°.
Hey can anyone pls pls help me in dis math problem real quick!!!!!!
Answer:
1. 10.64
2. 6.45
Step-by-step explanation:
Hope this helps and can u mark me brainliest?
In a right triangle with a leg of 2 in and a leg of 3 in what is the hypotenuse?
Answer:
Look at the attachment
how much money does ron have each month
Answer:
after paying all expenses Ron will have $10 leftover each month.
Answer:
10 on edge
Step-by-step explanation:
Complete the point-slope equation of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-7,-8)(−7,−8)?
Answer:
Step-by-step explanation:
hello : here is an solution
The equation of the line in point-slope form is y - 6 = -7(x+9)
The equation of a line in point-slope form is expressed as:
y-y0 = m(x-x0)
m is the slope of the line
(x0, y0) is any point on the line
Given the coordinate points (-9, 6) and (-7, -8)
Get the slope of the line:
slope = -8-6/-7+9
Slope = -14/2
Slope = -7
Using the point (-9, 6), the required slope is expressed as:
y - 6 = -7(x-(-9))
y - 6 = -7(x+9)
Hence the equation of the line in point-slope form is y - 6 = -7(x+9)
Learn more here: https://brainly.com/question/24642959
The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, end text deep. The vertical height is 7\,\text{cm}7cm7, start text, c, m, end text. What is the length of the side edge, sss, of the triangular prism? Round your answer to the nearest tenth.
Question :
The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s, of the triangular prism? Round your answer to the nearest tenth.
Answer: 7.62cm
Step-by-step explanation:
Given the following :
Width = 6cm
Depth = 4cm
Vertical height = 7cm
Splitting the face of the prism into two:
Thus the width becoming 6cm/2 = 3cm and vertical height = 7cm
Using Pythagoras ;
The side edge 's' equals
s^2 = width^2 + height^2
s = √(width^2 + height^2)
s = √(3^2 + 7^2
s = √9 + 49
s = √58
s = 7.62cm
Answer:
7.6
Step-by-step explanation:
the person above is correct, i took the test on khan, but you have to round to the nearest tenth
Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money
borrowed. The total amount of money repaid at the end of week n can be represented using the recursive formula
a,- 10+ an-1. At the end of the fourth week, Johann had repaid his parents a total of $55. What is the total amount Johann
had repaid his parents at the end of the first week?
Answer:
C
Step-by-step explanation:
Edge 2020
Answer:
C
Step-by-step explanation:
2/3=(1/2)/x solve for x
Answer:
x=3/4
Step-by-step explanation:
Look at the picture so you understand how To solve it.
helppppppppppppppppp
Answer:
3/4 of an inch
Step-by-step explanation:
The longest plant is 7/8 of an inch
The shortest plant is 1/8 of an inch
7/8 - 1/8 = 6/8
Simplifying = 3/4
a box cost $2.48, but it is on sale for $1.49. How much do you save on one box when bought on sale? Now how much would you save if you bought a second box?
Answer:
1. $0.99
2. $1.98
Step-by-step explanation:
1. From the question we have
Cost of box = $2.48
Selling price = $1.49
That is the box is discounted from $2.48 to $1.49
Therefore, amount saved = $2.48 - $1.49 = $0.99
2. The amount saved from buying a second box is hence;
2 × $0.99 = $1.98
Hence, as the number of boxes bought increases, the amount saved increases
Answer:
The answers to both questions are
1. You save $0.99 on the box when it is purchased on sale
This is calculated by subtracting on-sale price from pre-sale price:
$2.48-$1.49 = $0.99
2. Total amount saved when a second box is purchased on-sale price is derived by multiplying the amount saved on-sale purchase by two:
$0.99 x 2 (boxes)
$0.99 x 2 = $1.98
Cheers!
Please answer multiple choice
Answer:
A. 54.09
Step-by-step explanation:
cos (angle) = Adjacent/Hypotenuse
cos (75) = 14/x
x= 14/cos (75)
x=54.09
Answer:
its A
Step-by-step explanation:
Find the area of the shape
(shown in image)
Answer:
A = 108 units^2
Step-by-step explanation:
A = (1/2)(1 + 8)(24)
A = (1/2)(9)(24)
A = (9)(12)
A = 108
Answer:
108
Step-by-step explanation:
If it's a whole rectangle, the are would be 192
The piece that's missing is a right triangle.
The area of the right triangle = 1/2 base x height = (1/2)(7)(24) = 84
A = 192 - 84
A = 108
Scarlett and Mia work at a furniture store. Scarlett is paid $185 per week plus 3% of her total sales in dollars, x x, which can be represented by g ( x ) = 185 + 0.03 x g(x)=185+0.03x. Mia is paid $23 per week plus 9% of her total sales in dollars, x x, which can be represented by f ( x ) = 23 + 0.09 x f(x)=23+0.09x. Determine the value of x x, in dollars, that will make their weekly pay the same.
Answer:
They must sell 2700 dollars to recieve the same sallary.
Step-by-step explanation:
The expression for Scarlett's sallary is:
g(x) = 185 + 0.03*x
The expression for Mia's sallary is:
f(x) = 23 + 0.09*x
In order for them to recieve the same sallary they must sell:
185 + 0.03*x = 23 + 0.09*x
0.09*x - 0.03*x = 185 - 23
0.06*x = 162
x = 162/0.06 = 2700
They must sell 2700 dollars to recieve the same sallary.
What are they?
Equal Lines?
Parallel Lines?
perpendicular Lines?
None of the above?
Answer:
Equal lines
Step-by-step explanation:
-5x-y = -4
Multiply by 3
-15x -3y = -12
This is the same as the second equation
That means the lines are the same
They are equal lines
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
Answer:
infinite solutions
Step-by-step explanation:
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
Combine like terms
3(12x2+x+1)+12(12x2+x+1)=15(12x2+x+1)
15(12x2+x+1) = 15(12x2+x+1)
Divide by 15
(12x2+x+1) = (12x2+x+1)
Since they are the same
x can be any real value
Answer:
All real values of x
Step-by-step explanation:
3(12x²+x+1)+12(12x²+x+1)=15(12x²+x+1)
(12x² + x + 1)(3+12) = 15(12x²+x+1)
15(12x²+x+1) = 15(12x²+x+1)
Since both sides are identical, all real values of x will satisfy the equation
5. If sin x = 0.8829, what is the measure of the angle x?
Answer:
0.0154°
Step-by-step explanation:
In this problem we are required to solve for x, which is the angle, there are two ways to go about about it, we either use four figure table or calculator.
To use calculator remember to set your calculator in degrees and not in radian.
Punch sin 0.8829=0.0154°
Answer: The angle is 62.77°
Step-by-step explanation:
Here we can use the inverse function of the sin, the arcsin, this function is such that:
Asin(sin(x)) = x
and we have that sin(x) = 0.8829
Asin(sinx)) = Asin(0.8829) = 62.77°
The angle x, in degrees, is 62.77°
which of the following statements correctlydescribes the points
The first statement is correct
To calculate the distance we have to substrate the values of the Y axis only since X values are constant so the distance IS 4 - - 7=4+7=11
Answer:
The first answer. The distance is 11.
3.
Which expression is equivalent to
?
A. 79
* 7
B. 7
1
C.
79
D.
720
Answer:
The answer for this question is A. 7^9
Corinne made a deposit of $6,000 into an account with a simple interest rate of 5%. How much interest will be in the account after 8 years?
Answer:
$8,864.73
Step-by-step explanation:
Base amount: $6,000.00
Interest Rate: 5% (yearly)
Effective Annual Rate: 5%
Calculation period: 8 years
What type of association would you expect to see between the amount of fog in the sky and the distance that a pilot can see? *
A. positive association
B. negative association
C. no association
D.There is not enough information to tell.
Answer:
answer choice D I hope this helped
Answer:
B
Step-by-step explanation:
Negative association
What is the area of the circle with a D equals 10
Answer:
A =78.5
Step-by-step explanation:
We need the radius to find the area of a circle
r = d/2 = 10/2 =5
The area of a circle is given by
A = pi r^2
A = 3.14 (5)^2
A =3.14 (25)
A =78.5
a set of computers that are connected together so that they can share information
Answer:
A computer network
Step-by-step explanation:
PLEASE ANSWER ASAP will give beau ly
Answer: 23
Hope this helps :D
Answer:
h=39+16t
Step-by-step explanation:
Simplifying
h(t) = 16t2 + 39t
Multiply h * t
ht = 16t2 + 39t
Reorder the terms:
ht = 39t + 16t2
Solving
ht = 39t + 16t2
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Divide each side by 't'.
h = 39 + 16t
Simplifying
h = 39 + 16t
Mr. Blackburn is buying new carpet for his family room and hallway. The floor plan is shown below.
Pls help me ASAP
Answer:
Step-by-step explanation:
3.2 times 1.5 plus 6 times4.2= 30 meters of carpet.
Answer:
He needs 23.7 of carpet
Step-by-step explanation:
multiply 4.2 and 6 which is 25.2. Then subtract 1.5 from 25.2 which is 23.7.
Put it in Least to greatest
Answer:
square root of 14, 4 , 5
Step-by-step explanation:
The manager of a local pet store wants to know which breed of dogs his customers buy most often. Who should the pet store manager survey to answer this question? A. the 25 people shopping in the store B. customers who bought dogs from his shop C. every adult who enters the shop during the day D. workers at a local animal shelter
Answer:
Customers who bought dogs from his shop
Step-by-step explanation:
he can create a pie chart or bar graph to see the highest sold dog breed and predict what will sell most later on.
Answer:
Your answer is B
Step-by-step explanation:
An art class offered painting classes on 22 out of 3” days in September. What decimal is equivalent to the fraction of days in September that classes were offered?
Answer:
0.73
Step-by-step explanation:
Given: Painting classes were offered on 22 out of 30 days in September.
To find: decimal that is equivalent to the fraction of days in September that classes were offered
Solution:
Total number of days in September = 30
Number of days when painting classes were offered = 22
So,
fraction of days in September when classes were offered = [tex]\frac{22}{30}=\frac{11}{15}[/tex]
Therefore,
decimal equivalent to the fraction of days in September when classes were offered = 0.73
What is 1/2 + 2/3? Im stupid so I don't know what this is. idk I'm dumb
Answer:
=7/6 pls mark me as brainlist
Step-by-step explanation:
1/2+2/3
=find lcm = 6
=1x3/2x3 +2x2/3x2
3/6+4/6
=7/6
Answer:
1/2 + 2/3 = 1 1/6
Step-by-step explanation:+
1/2 + 2/3 = ?
Find the common denominator.
3/6 + 4/6 = 7/6
Turn your improper fraction into a mixed number.
1 1/6
How can you identify the solution to a system of equations from a graph?
Answer:
Where the graphs intersect is the solution to the system of equations
Step-by-step explanation:
Where the graphs intersect is the solution to the system of equations
The points of intersection is the solution to the system of equations. If they do not intersect, there is no solution
What value of x makes the
equation frue?
X - 13 = 25
Answer:
38
Step-by-step explanation:
x-13=25
+13 +13
_________
x=38
Answer:
38
Step-by-step explanation:
38-13=25.
To find this add thirteen to 25
Saad purchases 75 books and 75 dictionary .If a book costs Rs 476 and a dictionary costs Rs 128. Find the total money spent on books and dictionaries. *
Answer:
75.9
Step-by-step explanation:
