Answer:
[tex]AE=7, CE=4\sqrt{2}[/tex]
Step-by-step explanation:
By the Pythagorean theorem, [tex]CD=\sqrt{9^2-3^2}=6\sqrt{2}[/tex]. Since [tex]\triangle ADC \cong \triangle ADB[/tex] by HL, [tex]CB=12\sqrt{2} \implies CB=288[/tex].
Using the Pythagorean theorem on [tex]\triangle CEB[/tex] yields [tex](CE)^2+(AE+9)^2=288[/tex].
Using the Pythagorean theorem on [tex]\triangle CEA[/tex] yields [tex](CE)^2+(AE)^2=81[/tex].
Subtracting the equations yields [tex](AE+9)^2-(AE)^2=207[/tex].
[tex](AE)^2+18(AE)+81-(AE)^2=207 \\ \\ 18(AE)=126 \\ \\ AE=7[/tex]
Substituting this result back into the first equation yields [tex]CE=4\sqrt{2}[/tex].
Please help me I'm desperate
Answer: 94
Hope this helps!
Bernie, a caterer, is investing some money in equipment and employees to help grow his business. Recently he spent $40 on equipment and hired a server who makes $12 per hour. Bernie is hoping to make up these expense at the next job that is scheduled, which pays a base of $30 in addition to $14 per hour that the server works. In theory, this event could pay enough to cancel out Bernie's expenditures. How much would the job pay?
Write a system of equations, graph them, and type the solution.
Answer:
The job would pay $44 ($30 base + $14 per hour for the server).
Step-by-step explanation:
that would be the answer but i cant place them in the graph......lol i helped to the best of my ability i hoped this helped !!
Answer:
it should be 44 dollars
Step-by-step explanation:
Joey was required to ring the bell every 15 minutes between the times 6:15 to 7:45 how many times did he ring the bell
Answer:
Step-by-step explanation:
To find out how many times Joey rang the bell, we need to find the total number of minutes between the times 6:15 and 7:45.
6:15 is 6 hours and 15 minutes, which is 660 + 15 = 375 minutes
7:45 is 7 hours and 45 minutes, which is 760 + 45 = 465 minutes
So the total number of minutes between 6:15 and 7:45 is 465 - 375 = 90 minutes.
Since Joey was required to ring the bell every 15 minutes, he would have rung the bell 90 / 15 = 6 times.
Answer: hope this helps ♡
Joey rang the bell 6 times.
Step-by-step explanation:
6:15 - 6:30 (1)
6:30 - 6:45 (2)
6:45 - 7:00 (3)
7:00 - 7:15 (4)
7:15 - 7:30 (5)
7:30 - 7:45 (6)
If 3G:10H:4I, G:H:I=?
(Write your ratio in lowest terms)
Answer:
3:10:4 is the lowest term.
Step-by-step explanation:
You would need to find a common GCF between them all and 1 is the only GCF that is not fractional. 10/3 and 4/3 are not whole numbers and 3 divided by 10,4, 2, or 5 won't work.
Please help me I'm desperate
Answer:
4 T= 2 fl oz.
Step-by-step explanation:
divide the volume value by 2
which is 4/2=2
Answer:
Step-by-step explanation:
Can you solve this for me? Thanks! :>
Tricia deposits $1500 into a savings account that pays 1.2% annual interest compounded quarterly. Write a function to represent the balance A in the account after t years.
The function to represent the balance in the account after t years is
A = 1500 (1.003[tex])^{4t[/tex]
What is Compound interest?The terms "original principal interest" and "interest gained on the interest of the principal" are used to define compound interest.
A = P(1+r/100)ⁿ
We have,
P = $1500
R= 1.2%
Now, substitute the vales we get
A = 1500 (1 + 0.012/4[tex])^{4t[/tex]
A = 1500( 1 + 0.003[tex])^{4t[/tex]
A = 1500 (1.003[tex])^{4t[/tex]
Thus, the required function is A = 1500 (1.003[tex])^{4t[/tex]
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what is the sum of the values less than 34?
Answer:
use any numbers that you can add and get 34
for example: 22+12
Please Help!! Please explain how to add with mixed numbers?? PLEASE???
So you would make the bottom numbers the same for example
2/4 + 5/8
you would multiply the top and bottom of 2/4 to get 4/8
so 4/8 + 5/8 = 9/8 or 1 1/8
hope this helps
Answer and Step-by-step explanation:
First, you must have a common denaminator. Here is the formula:
[tex]\frac{a}{b} +\frac{c}{d} =\frac{ad}{bd}+\frac{cb}{bd} =\frac{ad+cb}{bd}[/tex]
As an example,
[tex]\frac{5}{7} +\frac{2}{3} =\frac{15}{21} +\frac{14}{21} =\frac{19}{21}[/tex].
First, find the least common denomionator, then multiply the numerators and add.
What is the completely factored form of the expression 16x^4 -y^4 Describe the method(s) of factoring you used.
Answer:
Step-by-step explanation:
[tex]16x^4 - y^4[/tex]
[tex](4y^2)^2 - (y^2)^2\\[/tex]
[tex]= ((2y)^2)^2 - ((y)^2)^2[/tex]
Answer:
[tex](2x -y)(2x+y)(4x^2+y^2)[/tex] via difference of squares
Step-by-step explanation:
[tex]16x^{4} - y^{4}[/tex]
• Rewrite [tex]16x^{4} - y^{4}[/tex] as [tex](4x^{2} )^{2} - (y^2 )^2[/tex].
The difference of squares can be factored using the rule:[tex]a^2 - b^2=(a - b)(a+b).[/tex]
[tex](4x^2 - y^2 )(4x^2+y^2 )[/tex]
• Consider [tex]4x^2 - y^2[/tex]. Rewrite [tex]4x^2 - y^2[/tex] as [tex](2x)^2 - y^2[/tex].
The difference of squares can be factored using the rule: [tex]a^2 - b^2=(a - b)(a+b).[/tex]
[tex](2x -y)(2x+y)[/tex]
• Rewrite the complete factored expression.
[tex](2x - y)(2x+y)(4x^2+y^2 )[/tex]
What is the value of the expression?
B
Step-by-step explanation:
Fristly we will apply BODMAS rule .i.e Brackets of Divison Multiplication Addition and then Substraction.
So first we will solve (5+3)^2 which is equal to 64.
Then we will solve 3^3 which is equal to 27.
now 27 times 2 is 54.
At last 64 - 54 comes out to be 10.
Can you solve this for me? Thanks! :>
Answer:
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Step-by-step explanation:
-3 is greater than -3.5
What is the measure of ∠x, in degrees
Answer:
Step-by-step explanation:
From the diagram, and knowing that the measure of a straight line, we know that the angle right above the 45 degree angle, is 180-45, because a straight line has a measure of 180 degrees. That gives us 135 degrees. We know that a triangle has a total measure of 180 degrees, like a straight line. Now, we can combine the 2 angles we do know, and subtract that from 180. Ok, lets do it. 135+22=157. Now we subtract to find the final angle in the triangle. 180-157=23. Therefore, the angles in our triangle are 135, 22, and 23. We can check our work by adding all these angles together, and if they add to 180, we know it is correct. And they do. Now, using the same rule as before, we can subtract the final angle, next to the x, by 180, to get x. 180-23=157.
Therefore, we know x = 157.
Answer:
x=157
Step-by-step explanation:
PROPORTIONS!!!
A basket contains only apples and oranges, and the ratio of apples to oranges is 9:7. If there are 128 pieces of fruit in he basket, how many are oranges?
Answer:
There are 56 oranges in the basket, since the ratio of apples to oranges is 9:7. To calculate this, you can use the proportion method. First, set up a proportion using the ratio of apples to oranges (9:7):
9/7 = x/128
Then, solve for x.
x = (9/7) * 128
x = 112
Answer:
72 and 56
Step-by-step explanation:
Ratio of apples in the basket = 9x
Ratio of oranges in the basket = 7x
Total fruits in the basket = 128
So, Apples + Oranges = Total fruit
9x + 7x = 128
16x = 128
x = 128 ÷ 16
x = 8
∴ So, number of apples = 9x --> 9*8 = 72 apples
number of oranges = 7x --> 7*8 = 56 oranges
Hope this helps. Pls mark me the BRAINLIEST!
What is an equation of the line that passes through the points (-2, -6)(−2,−6) and (-1, 0)(−1,0)?
Step-by-step explanation: An equation of a line can be written in the slope-intercept form y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of a line that passes through two given points, we can use the slope-intercept form and find the slope (m) and y-intercept (b) using the two points.
To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1)
Given the points (-2, -6) and (-1, 0), the slope of the line is:
m = (0 - (-6)) / (-1 - (-2)) = 6 / 1 = 6
To find the y-intercept (b) , we can substitute one of the points into the slope-intercept form:
y = mx + b
(-6) = 6(-2) + b
b = -6 - 12 = -18
Now we can use the slope and the y-intercept to write the equation of the line in slope-intercept form:
y = 6x - 18
So the equation of the line that passes through the points (-2, -6) and (-1, 0) is y = 6x - 18
Please help me on this.
Answer: x=30
Step-by-step explanation: The three angles of a triangle must add up to be 180. So it would be 30 + 60 + 90.
1. Point A is at (3, 2.6) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is. Input numbers and decimal point only, such as 5.8.
2. Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is 2 units. What are the coordinates of the location of the second stage light?
a
(8, −10)
b
(8, 2)
c
(14, 2)
d
(14, −10)
Answer:8, 2
Step-by-step explanation:
iykyk
help me please please
see image
basically, you have to find the side lengths using the distance between points formula
[tex]\sqrt{|y_2-y_1|^2+|x_2-x_1|^2[/tex]
then you need the law of sines to find one of the angles
solving for the angle that formula is;
[tex]Y (gamma ) = cos^-1(\frac{a^2+b^ 2-c^2}{2ab})[/tex]
Y, or gamma, is the angle opposite C.
then i plugged it into the formula area = 1/2 a * b * sin (C)
33
all the math is in the picture
hope this helps,
Jeron
:)
Triangle ABC is similar to triangle DEF.
Which is the measure of angle C?
Answer:
C=31
Step-by-step explanation:
Both triangles are similar. So, we know that F is 31 degrees. So C is 31 degrees because B and E are the same angles. And A is 71 because your total must be 180 degrees.
Answer2387
Step-by-step explanation:
Please help me I'm desperate
The depth y(in feet) of a river after x years is y=0.1x+10,Can you find the number of years it would take to reach a depth of 13 feet?
Answer: 30=x
Step-by-step explanation:
y=0.1x+10
plug in 13 ft
13=0.1x+10
13-10= 3
10-10=0
3=0.1x
30=x
Answer:
30=x
Step-by-step explanation:
Solve the following system of equations.
{x+4y=0
{16y=−4x
Answer:answer (0,0)
Linear equations with two unknowns
Enter an equation or problem
x+4y=0;16y−4x
We think you wrote
x+4y=0;16y-4x
This solution deals with linear equations with two unknowns.
Solution found
{x,y}={0,0}
See steps
Step by Step Solution
System of Linear Equations entered :
[1] x+4y=0
[2] 16y-4x
Equations Simplified or Rearranged :
[1] x + 4y = 0
[2] -4x + 16y = 0
Graphic Representation of the Equations :
4y + x = 0 16y - 4x = 0
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -4y
// Plug this in for variable x in equation [2]
[2] -4•(-4y) + 16y = 0
[2] 32y = 0
// Solve equation [2] for the variable y
[2] 32y = 0
[2] y = 0
// By now we know this much :
x = -4y
y = 0
// Use the y value to solve for x
x = -4(-0/32766) = 0
Solution :
{x,y} = {0,0/32766}
Please help me I'm desperate
Answer:
MAD: 4.5
Step-by-step explanation:
Try not to cheat on the I-Ready, it is supposed to help gauge your level and help you improve from there.
Please help me with the angles. I don't quite understand what the answer is.
m<11 = 100 m <12 = 80
Step-by-step explanation:
m <5 = 100°
m <5 = m <11 ( alternate exterior angles)
•°• m <11 = 100
<11 & <12 are supplementary
•°•m <11 + m <12 = 180
= m <100+m <12 = 180
= m <12 = 180- 100
80°
MATTTTTTTTTTTTTTTHHHHHHHHHH
Step-by-step explanation:
By the question we know that the number of students who spends less than 4 hours a week on screen is:
9 + 9 = 18
And among the 18 students there are 9 students whose grade average is below 80. So the percentage of the students who spends 4 hours a week on screen is:
= 9 ÷ 18 × 100%
= 100/2
= 50%
hence 50% students spend less than 4 hours a week on screens.
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The rectangular floor of a classroom is 22 feet in length and 24 feet in width. A scale drawing of the floor has a length of 11 inches. What is the perimeter, in inches, of the floor in the scale drawing? Fast pls :(
The perimeter of the floor in the scale is 46 inches
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.
The length of the actual floor is 22 feet and the length in scale is 11 cm. This means the scale factor is 2 feet is 1 inches
Therefore the the width of the floor in scale = 24/2 = 12 feet
Perimeter = 2( l+w)
therefore the perimeter of the floor in the new scale = 2(11+12)
= 2× 23
= 46 inches
therefore the floor in the scale drawing is 46 inches
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What is the exact surface area of a cylindrical water tank with a diameter of 8 m and a height of 28 m?
The members of a student council held a car wash to earn money for a field trip. The equations represent how they calculated their earnings.
5c+8v=234
c=2v
If c represents the number of cars and v represents the number of vans, which pair of sentences best describe the results of the fundraiser?
Answer: They charged $5 per car, $8 per van, and earned a total of $234 they washed twice as many cars as vans.
Step-by-step explanation: hope this helps
divide negative 6 and 2 over 5 ÷ negative 4 and 3 over 7
Step-by-step explanation:
-6÷-2/5-4-3/7
i Don't understand
Answer:224/155
Step-by-step explanation: when i did the math i had got this and when i put it as my answer it was right hope this helped u.:)
ASAP PLEASE I WILL GIVE BRAINLIEST RIGHT AWAY: Which sentence could be represented by m > 41?
Group of answer choices
-Calvin ran no less than 41 miles, m
-The temperature, m, was less than 41°F
-Mary’s points, m, totaled more than 41
-The magazine cost, m, was not more than $41.
Thanks!
Answer:
Step-by-step explanation:
Mary's points totaled more than 41 points.
can be represented by m > 41.
The temperature is less than 41 is m < 41.
The magazine was not more than 41 is m ≤ 41.
Calvin ran no less than 41 m ≥ 41.