Answers
Answer:
1. B. x = 11
2. E. [tex]m\angle BEF=140^{\circ}[/tex]
3. D. 4.3 in
4. D. 40.8 ft
Step-by-step explanation:
1. By Angle Addition Postulate,
[tex]m\angle KLM=m\angle KLV+m\angle VLM[/tex]
Since
[tex]m\angle KLV=34^{\circ}\\ \\m\angle KLM=14x+19\\ \\m\angle VLM=12x+7,[/tex]
then
[tex]14x+19=34+12x+7\\ \\14x-12x=34+7-19\\ \\2x=22\\ \\x=11[/tex]
2. By Angle Addition Postulate,
[tex]m\angle FED=m\angle DEB+m\angle BEF[/tex]
Since
[tex]m\angle FED=14x+8\\ \\m\angle DEB=22^{\circ}\\ \\m\angle BEF=13x-3,[/tex]
then
[tex]14x+8=22+13x-3\\ \\14x-13x=22-3-8\\ \\x=11[/tex]
Therefore,
[tex]m\angle BEF=(13\cdot 11-3)^{\circ}=(143-3)^{\circ}=140^{\circ}[/tex]
3. The area of trapezoid is
[tex]A_{trapezoid}=\text{Midsegment}\times \text{Height}[/tex]
From the diagram,
[tex]\text{Smaller base}=1.2\ in\\ \\\text{Bigger base}=4.2\ in,[/tex]
then
[tex]\text{Midsegment}=\dfrac{1.2+4.2}{2}=2.7\ in[/tex]
Since the area of trapezoid is [tex]11.6\ in^2,[/tex] then
[tex]11.6\ in^2 =2.7\ in\times \text{Height}\\ \\\text{Height}=\dfrac{11.6\ in^2}{2.7\ in}\approx 4.3\ in[/tex]
4. Use formula for the area of the circle to find the radius of the circle:
[tex]A_{circle}=\pi r^2[/tex]
So,
[tex]132.7=\pi r^2\\ \\r^2=\dfrac{132.7}{\pi}\\ \\r=\sqrt{\dfrac{132.7}{\pi}}\ ft[/tex]
Now, find the circumference of the circle:
[tex]C=2\pi r\\ \\C=2\pi \cdot \sqrt{\dfrac{132.7}{\pi}}=2\sqrt{132.7\pi}\approx 40.8\ ft[/tex]
Related Questions
PLEASE HELP ASAP PLEASE PLEASE PLEASE
Graph the solution to the scenario by dragging and dropping a circle/arrow onto the number line.
The roots of Billy's plant grew to 3 inches beneath Earth’s surface. Graph all the possible depths the roots can continue to grow.
Answers
Step-by-step explanation:
"At least x" means "that value x or more"
"At least 2" means "2 or more"
So Billy's plants grow 2 inches or more a month. The smallest increase possible is 2 inches.
We plot a closed circle at 2 on the number line. The closed circle tells us "include this value in the solution set". In contrast, the open circle says "exclude the endpoint from the solution set"
Then we shade to the right indicating all of the possible outcomes (growing 3 inches, growing 4 inches, etc.).
What is the measure of AC ?
Answers
Answer:
Therefore the measure of[tex]\widehat{AC}[/tex] is [tex]39^\circ[/tex].
Step-by-step explanation:
Arc measure : In a circle the degree measure of an arc is equal to the measure of the central angle.
Here the value of central angle is [tex]39^\circ[/tex]
Therefore the measure of[tex]\widehat{AC}[/tex] is [tex]39^\circ[/tex].
Without plotting the point (0,-10), tell in which quadrant or on
which axis it lies.
a. x-axis c. Quadrant I
b. y-axis d. Quadrant II
Answers
Since x is 0 that means it’s in the middle and the line will lie only on the y axis
What can the fraction 9/40 be converted into?
Answers
Answer:
a decimal 0.225
Step-by-step explanation:
Use the order of operations and the digits 2, 4, 6, and 8 to create an expression with a value 2.
Answers
By using the expression 8 ÷ (4 + (6 - 2)), we can follow the order of operations with the digits 2, 4, 6, and 8 to achieve a result of 2.
Explanation:Tocreate an expression with a value of 2 using the digits 2, 4, 6, and 8, and following the order of operations, one possible solution involves basic arithmetic operations and a thoughtful approach to number manipulation. An example of such an expression is 8 ÷ (4 + (6 - 2)).
Here is the step-by-step explanation:
Start with the operation inside the innermost parentheses: 6 - 2 equals 4.Add this result to 4 (the next number outside the parentheses), which equals 8.Finally, divide 8 (the leftmost number) by the result from step 2, which also equals 2.This method strictly adheres to the order of operations, ensuring that operations within parentheses are done first, followed by division, to achieve the desired result.
Final answer:
An expression using the digits 2, 4, 6, and 8 to equal the value 2 is 16 / 8, achieved by manipulating the operations and order of the digits according to precedence rules and simplifying.
Explanation:
The question requires us to use the digits 2, 4, 6, and 8, along with the correct order of operations, to create an expression that equals 2.
One way to do this is to take advantage of the properties of division and multiplication, which have the same precedence level but are performed from left to right. Using these operations, we can come up with an expression such as 8 / (4 * (6 - 2)), which equals 2. Here's the step-by-step breakdown of the expression:
First, perform the operation within the innermost parentheses (6 - 2) = 4.Next, perform the multiplication operation within the outer parentheses using the result from the first step: 4 * 4 = 16.Finally, divide the number 8 by the result from the second step: 8 / 16 = 0.5.To reach the desired value of 2, flip the fraction to get the reciprocal which leads to 16 / 8 = 2.Thus, the expression that uses the digits 2, 4, 6, and 8 to yield a value of 2 is 16 / 8, after simplification.
Tipeni bought 100 shares in a bank for $35.60 each. He sold them two years later for $48.90 each and paid a brokerage fee of $32.95.
a) what is the profit made on these shares?
I need help with a please I’m dying
Answers
Yo sup??
no of shares=100
cost price=35.60
selling price=48.90
profit=(SP-CP)*100
=(48.9-35.6)*100
=1330
But since he loses 32.95 to the broker therefore net profit obtained is
=1330-32.95
=1297.05
Hope this helps
Final answer:
To calculate Tipeni's profit on selling the shares, subtract the total buying cost and brokerage fee from the total selling price. The profit made on these shares is $1297.05.
Explanation:
To calculate the profit Tipeni made on selling the shares, we need to find the total selling price of the shares, subtract the total buying price of the shares, and also account for the brokerage fee.
Calculate total buying cost: 100 shares × $35.60 per share = $3560.00
Calculate total selling price: 100 shares × $48.90 per share = $4890.00
Subtract the brokerage fee from the total selling price: $4890.00 - $32.95 = $4857.05
Subtract the total buying cost from the adjusted total selling price to get the profit: $4857.05 - $3560.00 = $1297.05
The profit made on these shares is $1297.05.
Y=2x-3 a direct variation
Answers
The senior class is planning a trip that will cost $35 per student if $3920 has been collected from the seniors for the trip, how many have paid for their trip? write and solve an equation.
Answers
Answer:
112 will have been paid for their trip
Step-by-step explanation:
You have to divide $3920 by $35 to get your answer
Write an inequality that represents the statement "x is greater than -3 and less than or equal to 4."
A. -3
B. -3
C. -35X34
D. -35x<4
Answers
Answer:
-3<x<=4
Step-by-step explanation:
What is approximate volume of a cone with a height of 9 feet and radius of 3 feet?
Answers
Answer:
84.82 ft³
Step-by-step explanation:
Answer:
84.823
Step-by-step explanation:
The formula of the volume of cone is v= 1/3 (PI* r^2) h
We have that h= 9feet , and r= 3
So, v =1/3 (Pi * 3^2) 9
V=84.82300
If the perimeter of the triangle is 32 cm what is the length of each two sides? Write and solve equation
Answers
Answer:
12 centimeters
Step-by-step explanation:
An isosceles triangle has two congruent sides which are legs(2 sides having same length )If x is length of each leg, then we ca write the equation like this
equation: x+x+8=32
combine like terms
2x +8 = 32
minus 8 from each side
2x=32-8
2x=24
divide both sides by 2
2x/2 = 24/2
x=12 centimeters
0.56 rounded to the nearest tenth
Answers
Answer:
60
Step-by-step explanation:
because there is a 6 in the one place five or greater add one more
Which of the following sets of values correctly completes the T chart for the equation Y =|3x+1|. -5,1,7
7,1,7
5,-1,-7
5,1,7
Answers
Option C:
5, 1, 7
Solution:
Given equation:
y = |3x + 1|
In the chart, x values are given as –2, 0, 2.
To find the value of y for the corresponding x given.
Substitute x = –2 in the equation of y.
y = |3(–2) + 1|
= |–6 + 1|
= |–5| (Absolute value of a negative number is positive)
y = 5
Substitute x = 0 in the equation of y.
y = |3(0) + 1|
= |0 + 1|
= |1|
y = 1
Substitute x = 2 in the equation of y.
y = |3(2) + 1|
= |6 + 1|
= |7| (Absolute value of a negative number is positive)
y = 7
Option C is the correct answer.
The values of y are 5, 1, 7.
The answer image of the table is attached below.
Answer:
7,1,7
Step-by-step explanation:
Lucia's back hurts! She figured out that the books in her backpack are 5 times heavier than the backpack itself. By what percent heavier is the backpack with the books inside, than the books by themselves?
Answers
Answer:
120%
Step-by-step explanation:
If the books in the bag are 5 times heavier than the bag itself then the books and the backpack together are 6 times heavier than the backpack itself, so the backpack with the books is (6 ÷ 5) × 100% = 120% heavier than the book by themselves.
Yo sup??
Let the weight of the backpack be y
and weight of books be x, then
x=5y
percentage heavier=((x+y)/x)*100
=6y/5y*100
=120%
Hope this helps.
The segments shown below could form a triangle 6 5 12
Answers
Answer:
no
Step-by-step explanation:
6 and 5 are the smaller sides but they only add to 11
the need to get to something higher than 12
no equal or less than
Final answer:
Segments 6, 5, and 12 cannot form a triangle because the length of one segment (12) is equal to the sum of the other two (6 + 5), which violates the Triangle Inequality Theorem.
Explanation:
The question involves determining whether three given segments can form a triangle. To form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the Triangle Inequality Theorem. Given the segments 6, 5, and 12, we can test this theorem:
6 + 5 > 12? (No, because 11 is not greater than 12)6 + 12 > 5? (Yes, because 18 is greater than 5)5 + 12 > 6? (Yes, because 17 is greater than 6)Since one of the conditions fails, the segments 6, 5, and 12 cannot form a triangle. Visually, it's also clear that one segment (12) is as long as the sum of the other two (6 + 5), which means they could only form a straight line, not a triangle.
Simplify 8(3+5)
Help me please
Answers
Answer:
64
Step-by-step explanation:
pemdas says parenthesis first
3+5=8
8(8)
8 times 8 equals 64
We can add the numbers inside the parenthenses: 8(3+5)=8(8)
Now just multiply and we get 64.
So 64 is the simplified answer
Hope this helped!
Does anyone know this??
Answers
Answer:
The measure of an interior angle is
180° - 24° = 156°.
This polygon has 360°/24° = 15 sides.
The regular polygon has 24 sides, and each interior angle measures 165°.
The measure of an exterior angle of a regular polygon can be found using the formula: 360° divided by the number of sides.
For a polygon with 24 sides, each exterior angle measures (360° / 24) = 15°.
To find the measure of an interior angle in a regular polygon, we use the fact that the sum of exterior angles in any polygon is always 360°.
Since each exterior angle measures 15°, the corresponding interior angle measures (180° - 15°) = 165°.
The number of sides in a regular polygon can be calculated by dividing 360° by the measure of one exterior angle.
In this case, since each exterior angle measures 15°, the number of sides in the polygon is (360° / 15°) = 24.
Therefore, the regular polygon has 24 sides, and each interior angle measures 165°.
The probable question may be:
The measure of an exterior angle of a regular polygon is given below Find the measure of an exterior angle. The find the number of sides
24
What is the measure of an interior angle?
How many side does the polygon have?
How is 6.3 written in scientific notation?
6.3 x 10°
63 x 10-1
6.3 x 102
63 x 10°
Answers
Answer:
6.3 x 10°
Step-by-step explanation:
6.3 can be written as 6.3 x 1
recall that anything to the power of zero = 1
hence 10° = 1 substitute this back into the expression above to get:
6.3
= 6.3 x 1
= 6.3 x 10°
solve
-2x-y=1
y=3x-1
Answers
Answer:
x=-2/5
y=-1/5
Step-by-step explanation:
[tex]-2x-y=1\\y=3x-1[/tex]
Get the y variables onto 1 side
[tex]y+1=-2x\\y=3x-1[/tex]
Now shift the 1 over
[tex]y=-2x-1\\y=3x-1[/tex]
To solve for x, we can subtract the second equation from the first equation
[tex](y-y)=-2x-3x-1-1 = 0=-5x-2\\5x=-2\\x=-2/5[/tex]
Plug back into the first equation we found and solve for y
[tex]y=-2x-1\\y=-2(-2/5)-1\\y=4/5-1=-1/5[/tex]
3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from point H to point N in between angle K, H, J. Angle M H L is (3 x + 20) degrees, angle K H N is (x + 25) degrees, and angle J H N is (x + 20) degrees. What is the measure of AngleJHN? 25° 45° 50° 95°
Answers
Answer:
Option B.
Step-by-step explanation:
Given information: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).
We need to find the measure of ∠JHN.
[tex]\angle MHL=\angle JHK[/tex] (Vertical opposite angles)
[tex]\angle MHL=\angle JHN+\angle KHN[/tex]
Substitute the given values.
[tex]3x+20=(x+20)+(x+25)[/tex]
[tex]3x+20=2x+45[/tex]
[tex]3x-2x=45-20[/tex]
[tex]x=25[/tex]
The value of x is 25. So, the measure of ∠JHN is
[tex]\angle JHN=x+20=25+20=45[/tex]
The measure of ∠JHN is 45°.
Therefore, the correct option is B.
Answer:
it's B
Step-by-step explanation:
which choice is the explicit formula for the following geometric sequence? 0.3, -0.06, 0.012, -0.0024, 0.00048
Answers
Answer:
[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex]
Step-by-step explanation:
The given sequence is 0.3, - 0.06, 0.012, - 0.0024, 0.00048 ........ so on.
Now, this is a G.P. sequence with common ratio [tex]\frac{- 0.06}{0.3} = - 0.2[/tex].
Now, the explicit formula of the given series will be
[tex]a_{n} = 0.3(- 0.2)^{n - 1}[/tex] , where [tex]a_{n}[/tex] is the nth term of the G.P. sequence.
Now, for n = 1, [tex]a_{1} = 0.3(- 0.2)^{1 - 1} = 0.3[/tex].
For, n = 2, [tex]a_{2} = 0.3(- 0.2)^{2 - 1} = 0.3 \times (- 0.2) = - 0.06[/tex] and so on. (Answer)
Answer:
a n+0.3(-0.2)n-1
Step-by-step explanation:
Julia went into a movie theater and bought 2 bags of popcorn and 5 pretzels, costing
a total of $37.25. Zoe went into the same movie theater and bought 8 bags of popcorn
and 9 pretzels, costing a total of $102.25. Determine the price of each bag of popcorn
and the price of each pretzel.
Answers
Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let [tex]b[/tex] be the price of popcorn, and [tex]p[/tex] the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
[tex]2b+5p=37.25[/tex] (this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25) .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
[tex]8b+9p=102.25[/tex] (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).
Thus, we have two equations
1. [tex]2b+5p=37.25[/tex]
2. [tex]8b+9p=102.25[/tex]
and we solve them by first multiplying equation (1) by 4:
[tex]4(2b+5p=37.25 )\rightarrow (8b+20p=149)[/tex],
and then subtracting it from equation (2):
[tex]\:\:\:\:\: 8b+9p=102.25\\-(8b+20p=149)\\\line(1,0){3 cm}\\-11p=-46.75\\\\\boxed{p=\$4.25}[/tex]
Now we put this value of [tex]p[/tex] into equation (1) and get:
[tex]2b+5(4.25)=37.25[/tex]
and we solve for [tex]b[/tex] to get:
[tex]2b=37.25-21.5[/tex]
[tex]\boxed{ b=8}[/tex]
Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.
Answer:
8 is your answer
Step-by-step explanation:
Please Do not answer with anything irrelevant to this subject,Thank you.
In a right triangle, side a is 3 times as long as side b, and side c is 30 cm. Using the Pythagorean Theorem, what are the lengths of sides a and b? Round your answers to the nearest tenth.Hypotenuse is 30,A and B are not known but we know A is 3 times more than B.
Answers
Answer:
a = 3√10 ≈ 9.5b = 9√10 ≈ 28.5Step-by-step explanation:
We are given two relations we can use to find "a" and "b":
a = 3b
a² + b² = 30²
Substituting for "a", we have ...
(3b)² +b² = 900
10b² = 900
b² = 90
b = √90 = 3√10 ≈ 9.5
Then "a" is ...
a = 3b = 3(3√10) = 9√10 ≈ 28.5
The values of "a" and "b" are about 28.5 and 9.5, respectively.
Urgent!!!!
5
11
7
9
Please help
Answers
Answer:
Its 7
Step-by-step explanation:
24÷8= 3
6×3=18
?×3=21
7×3=21
Awnser is 7
Jackie made $28 babysitting last week. Her brother Joe made only 80% as much as she did. How much did Joe make?
Answers
Answer:
0.86(28) = 24.08
Step-by-step explanation:
Turn the percent to decimal and solve
Answer:
28$
Step-by-step explanation:
solve the system of equations 2x+2y=6z=8 5x+6y+5z=3 5x+6y+3z=5
Answers
Answer:
[tex]x=34,y=-27andz=-1[/tex]
Step-by-step explanation:
Given:
[tex]2x+2y+6z=8[/tex] equation:1
[tex]5x+6y+5z=3[/tex] equation:2
[tex]5x+6y+3z=5[/tex] equation:3
We have to find the value of x,y and z
Eliminating two variables to find the value of third variable
Subtracting equation:2 from equation:3
[tex]5x+6y+3z-(5x+6y+5z)=5-3[/tex]
[tex]5x+6y+3z-5x-6y-5z=2\\-2z=2\\z=-1[/tex]
Solving the equation:1 for 'x'
[tex]2x+2y+6z=8[/tex]
[tex]2x=8-2y-6z\\2x=8-2y-6(-1)\\2x=8-2y+6\\2x=14-2y\\x=7-y[/tex]
Putting x and z in equation 2
[tex]5(7-y)+6y+5(-1)=3\\35-5y+6y-5=3\\y+30=3\\y=3-30\\y=-27[/tex]
Putting the value of 'y' and 'z' in equation:2 to find the value of 'x'
[tex]5x+6(-27)+5(-1)=3\\5x-162-5=3\\5x-167=3\\5x=3+167\\5x=170\\x=\frac{170}{5}\\ x=34[/tex]
The values of x,y and z are
[tex]x=34,y=-27andz=-1[/tex]
32k+24 i need the equivalent expression
Answers
Answer:
4k+3
Step-by-step explanation:
In randomly selected family with two children, excluding multiple births , what is the probability of having two boys
Answers
Answer:
Therefor the probability of having two boys = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
i) In randomly selected family with two children, excluding multiple births
the children can be in the following combinations:
a) one girl, one girl : GG
b) one girl, one boy : GB
c) one boy, one boy : BB
The order does not matter for this problem.
Therefor the probability of having two boys = [tex]\frac{1}{3}[/tex]
Dilly is 7 years younger than Dally. In 4 years time she will be half Dally’s age. What is the sum of their ages now?
Answers
Answer:
The sum of their ages now is 13
Step-by-step explanation:
Dally's age = x
Dilly's age = x - 7
In 4 years time Dilly will be half Dally’s age, therefore:
Dilly's age plus four equals to half of Dally’s age plus four,
replacing with the values and variables we know:
x - 7 + 4 = (x + 4) /2
x - 3 = (x + 4) /2
2x - 6 = x + 4 (Multiplying by 2 at both sides)
2x - x = 4 + 6 (Like terms)
x = 10 ⇒ x - 7 = 3
The sum of their ages now is 13 (10 + 3)
The sum of their ages now is 13 years
Let the age of Dilly be "x"
Let the age of Dally be "y"
If Dilly is 7 years younger than Dally, then;
x = y - 7 ....... 1
In 4 years time, their age will be:
Dilly = x+ 4
Dally = y + 4
If in 4 years' time she will be half Dally’s age, then;
x+4 = 1/2(y+4) ............... 2
Substitute equation 1 intp 2 to have:
y-7+4 = 1/2(y+4)
y - 3 = 1/2(y+4)
2y - 6 = y + 4
2y - y = 6 + 4
y = 10
Recall that x = y - 7
x = 10 - 7
x = 3
Sum of their ages will be x + y = 10 + 3 = 13 years
Hence the sum of their ages now is 13 years
Learn more here: https://brainly.com/question/13805464
50 (5025
What is 50 divided by 5,025
Answers
Answer:
0.00995024875622
Step-by-step explanation:
Answer:
0.0099502487562189054726
Step-by-step explanation:
divide 50 by 5025