Answer:
[tex]\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]
Step-by-step explanation:
[tex]\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\[/tex]
[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]
I NEEED THIS NOW PLS HELP ME
Answer:
56cm²
Step-by-step explanation:
To solve this question, find the area of the triangles separately and then add all the areas to find the total area of the kite.
Attached is the image of my work
Answer:
56 cm²
Step-by-step explanation:
The area (A) of a kite is calculated as
A = [tex]\frac{1}{2}[/tex] product of the diagonals
= [tex]\frac{1}{2}[/tex] × d₁ × d₂
d₁ = 4 + 4 = 8 and d₂ = 10 + 4 = 14
A = [tex]\frac{1}{2}[/tex] × 8 × 14 = 4 × 14 = 56 cm²
How do you find the distance of a line segment?
Answer:
Measure the distance from one endpoint to the other.
Answer:
a line segment is a portion of a straight line which is directly connected to two given points. the given points has coordinate x and y
distance = √(x2-x1)²+(y2-y1)²
example : find distance between two points (2,6) and (3,4) ( find the length of a segment)
d = √(3-2)²+(4-6)
d=√1²+2²
d=√5
please I need help with both problems .( also show work plz)
Answer:
4. x = 50
5. x = 5
Step-by-step explanation:
For question 4:
Multiply both sides: x + 35 = -15Move the constant to the right: x = -15 - 35Calculate: x = -50For question 5:
Move the constant to the right: -3x = -17 + 2Calculate the sum: -3x = -15Divide both sides: x = 5Answer:
4) x= -50
5) x= 5
Step-by-step explanation:
Number 5
Simplifying
-3x + -2 = -17
Reorder the terms:
-2 + -3x = -17
Solving
-2 + -3x = -17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + 2 + -3x = -17 + 2
Combine like terms: -2 + 2 = 0
0 + -3x = -17 + 2
-3x = -17 + 2
Combine like terms: -17 + 2 = -15
-3x = -15
Divide each side by '-3'.
x = 5
Simplifying
x = 5
Number 4
x/5+7 = -3 // + 3
x/5+3+7 = 0
1/5*x+10 = 0 // - 10
1/5*x = -10 // : 1/5
x = -10/1/5
x = -50
x = -50
heeeelllllpppppp heyyy i need help asap and please try your best and solve the problem out it would be greatly appreciated because i have asked 5 questions already and there all wrong and no explanation at all and it needs to have ^for example, this is an exmample example 10^-1
Answer:
[tex] {10}^{ - 14} [/tex]
Step-by-step explanation:
[tex] \huge\frac{ {10}^{ - 9} }{ {10}^{5} } \\ \\ \huge = {10}^{ - 9} \times {10}^{ - 5} \\ \\ \huge = {10}^{ - 9 + ( - 5)} \\ \\ \huge = {10}^{ - 9 - 5} \\ \\ \huge \orange {= {10}^{ - 14}} [/tex]
is it possible to build a triangle with side lengths of 5, 5, 10
What is e in the equation show your work.
Answer:
e = 25/3
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
y - 660 = 80(X – 7)?
Answer:
y=80x + 100
Step-by-step explanation:
y - 660 = 80(X – 7)
y-660= 80 x - 560
y-660+660= 80 x - 560+660
y= 80x + 100
Answer:
Answer:
y=80x + 100
Step-by-step explanation:
y - 660 = 80(X – 7)
y-660= 80 x - 560
y-660+660= 80 x - 560+660
y= 80x + 100
Step-by-step explanation:
just read it g
May you help me please it’s due today
Answer:
124, I think
Step-by-step explanation:
you set them equal to each other and solve for x, then substitute in for A. if this is wrong please let me know
Jimmy rented a bike from Krystal's bikes. It costs $18 plus $6 per hour. If Jimmy paid $60, then he rented the bike for how many hours?
Answer:
7 hours.
Step-by-step explanation:
6x7=42
42+18=60
For number of hours Jimmy rented the bike Krystal's bikes is 8 hours.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Jimmy rented a bike from Krystal's bikes. It costs $18 plus $6 per hour and Jimmy paid $60.
Let the number of hours be x.
Now, 18+6x=60
6x=42
x=8
Therefore, for number of hours Jimmy rented the bike Krystal's bikes is 8 hours.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
What is the answer to this problem? Try to describe as much as you can.
Answer:
On the grid
Step-by-step explanation:
Go 226 spaces to the left of the x axis, when you get there go 216 up on the y axis
Write 10 3/8 as a decimal
Answer:
10.375
Step-by-step explanation:
3/8ths equal 0.375 and then you have ten as the whole number therefore you add the lower number onto the whole number and then you get your answer.
If XY= 30, and XZ= 100, then YZ= ____.
Answer:
yz= 100-30
yz= 70.
hope it helps.
Need help asap. Thanks!
Answer:
A- SAS
Step-by-step explanation:
The statements tell you the outer two lines are congruent and the top two angles as well, then through the properties of equality you know the inner line is congruent to itself. That means you have two sides and an included angle making it SAS.
1. Patti’s register shows an ATM withdrawal on February 5 in the amount of $140.00, check #327 on February 7 in the amount of $326.15, and a deposit of $483.14.
What should Patti’s balance in her register be?
A.$614.34
B.$710.34
C.$728.14
D.$732.25
Answer: $732.25
Step-by-step explanation: I just took the quiz through K12 online school.
Answer: D.$732.25
Step-by-step explanation:
Patti's ending balance was $715.26
On 2/5 (February 5) she did a withdrawal (-) of $140.00
On 2/7 she did a check (-) of $326.15 and a deposit (+) of $483.14
$715.26- $140.00- $326.15+ $483.14= $732.25
What is the next two items in the row?
-1
2
5
8
Box 1
Box 2
Select the correct answer from each dropdown menu.
Box 1
[ Select ]
Box 2 [Select]
20 pts
Answer:
12, 15 would be the next two in that order
12 + 36 /3 × 4 + 300
5. What is the value of this function evaluated at F(-3)?
F(x)=2x² + 5x - 9
Answer:
Step-by-step explanation:
Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical expression do not round up
Answer:
The answer is
[tex] \sqrt{85} \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-1,-7) and (8,-9)
The distance between them is
[tex]d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4} [/tex]
We have the final answer as
[tex] \sqrt{85} \: \: \: units[/tex]
Hope this helps you
HELP!!! WILL GIVE BRAINLIEST!!!! 40 POINTS!!!!!! The agriculture department of a university works with individuals wanting to build greenhouses heated with only plastic. The department raised funding for 3,450 greenhouses. The program started with a group of 310 existing greenhouses. The number grew to 3,262 greenhouses 10 years after inception. Which equation can be used to model the relationship between the number of greenhouses outfitted depending on the number of years since the project began?
Answer:
Should be something along the lines of:
3,450 = 326x - 310
Step-by-step explanation:
First, let's start with the number of years. Assume the number of years is x. 3262 greenhouses amounts to about 326 greehouses/year. The other number was the existing greenhouses, but we want just how many greenhouses that were built, per the subtraction sign.
Hope this helps!! : )
Sorry if I am wrong, haven't done equations in a while.
-) LaTanya is decorating her living room and draws
a floorplan to help look at placement.
A. LaTanya wants to hang a picture at the center
of the back wall. How do you find the point at
the center between A and B?
Step-by-step explanation:
First she need to measure the complete wall distance and then divide it by 2
(I just tried the answer, Sorry if it is wrong)
We need not go so depth in this question and find it logically.
What is the discriminat of 9x²+2=10x
Answer: 28
Step-by-step explanation:
The discriminant in the quadratic equation which is
it is the part inside of the square root part
it is called the discriminant beause it tells you how many real or complex roots/solutions you will get
so b^2-4ac
convert to ax^2+bx+c=0 form
9x^2+2=10x
subtract 10x
9x^2-10x+2=0
ax^2+bx+c=0
a=9
b=-10
c=2
substitute
-10^2-4(9)(2)
100-36(2)
100-72
28
discriminant is 28
g(n)= 2n-3 f(n)= 2n + 1 Find (g•f)(n)
Answer:
Step-by-step explanation:
(2n -3)(2n+1) = 4n^2 + 2n - 6n - 3 = 4n^2 - 4n -3
Each quarter weighs 0.2 ounces. How much money has been stolen from the bank? Report the amount in $. Ex. "$528" *
Answer:
$640
Step-by-step explanation:
512/0.2 = 2560 quarters
2560 quarters = 640 US Dollars
Hope this helps !
The total amount that was stolen is 640 US dollars.
How to determine the total amount that was stolen?The weight of the amount is given by;
Weight = 512 ounces
The weight of each quarter will be;
Unit weight = 0.2 ounces
So, the total amount would be;
Total = 512/0.2
Evaluate;
The Total amount = 2560 quarters
1 quarter = $0.25
So, we have:
The Total amount = $0.25 * 2560
Now Evaluate the product
The Total amount = $640
Hence, the total amount that was stolen is 640 US dollars.
Read more about the products at:
brainly.com/question/10873737
#SPJ2
Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to re
job is y = 9x, where x is the number of hours he works and y is the total amount he earns,
Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and
the table below.
Hours worked
Amount paid
Tuesday
6
$52.50
Thursday
8
$70,00
Saturday
5
$43.75
Which statement best describes the hourly rates?
O The two jobs pay the same hourly rate.
The comparison cannot be made with the information given.
O Jason's camp counselor job pays a higher hourly rate than Mia's lifeguard job.
Jason's camp counselor job pays a lower hourly rate than Mia's lifeguard job.
Answer:
The correct statement is (3).
Step-by-step explanation:
Jason's hourly pay rate as a camp counselor for the summer is:
J = $9 / hour.
The table representing Mia's pay as a lifeguard for the summer is as follows:
Days Hours worked Amount paid
Tuesday 6 $52.50
Thursday 8 $70,00
Saturday 5 $43.75
Compute Mia's hourly rate for Tuesday: [tex]\frac{\$52.50}{6}=\$8.75[/tex]
Compute Mia's hourly rate for Thursday : [tex]\frac{\$70.00}{8}=\$8.75[/tex]
Compute Mia's hourly rate for Saturday: [tex]\frac{\$43.75}{5}=\$8.75[/tex]
Thus, Mia's hourly rate as a lifeguard for the summer is,
M = $8.75 / hour
This implies that Jason's camp counselor job pays a higher hourly rate than Mia's lifeguard job.
Thus, the correct statement is (3).
Answer:
The answer is C because if u multiply 6 by 9 its 54 that's how much Jason gets for 6 hours while on the other hand Mia for six hours gets 52 dollars.
Step-by-step explanation:
can u guys make this a brainlyest answer
Find the missing fraction.
3
2
3
Find the distance between the points (5, 3) and (7,6).
Answer:
[tex]d = \sqrt{13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you determine the distance between the two following points:
-Distance Formula:
[tex]d = \sqrt{(x_{2} - x_{1})^2 + ( y_{2} - y_{1})^2}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following points onto that equation:
[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]
[tex](x_{1}, y_{1}) = (5, 3)[/tex]
[tex](x_{2}, y_{2}) = (7, 6)[/tex]
-Solve the equation:
[tex]d = \sqrt{(7 - 5)^2 + (6 - 3)^2}[/tex]
[tex]d = \sqrt{2^2 + 3^2}[/tex]
[tex]d = \sqrt{4 + 9}[/tex]
[tex]d = \sqrt{13}[/tex]
So therefore, the distance is [tex]\sqrt{13}[/tex].
Please Help!!! 30 Points!
Answer:
ABC is congruent to A' B'C'
Step-by-step explanation:
All three sides are equal on triangle ABC and they are equal to the sides on A'B'C'
All three angles are equal on triangle ABC and they are equal to the angles on A'B'C'
We know that since the sides and the angles are equal
ABC is equal to A'B'C'
ABC is congruent to A' B'C'
The ratio of toucans to macaws at the zoo was 5 to 7. If there were 60 total birds, how many were macaws?
Answer:
5+7=12
12=60
7=?
cross multiply
7×60/12
35macaws
The area of the football field is 57,600 square feet. If the width of the field is 4/9 the length,what is the length of the football field ?
Answer:
360 feet.
Step-by-step explanation:
Let x = length, then the width is 4x/9 feet.
So we have the equation:
x * 4x/9 = 57600
4x^2 / 9 = 57600
4x^2 = 57600 * 9
x^2 = 57600 * 9 / 4
x = √57600 * 3 / 2
x = 240* 3/2
x = 360 feet.
The Moon is 4,530,000,000 years in scientific notation
Answer:
4.53 * 10⁹
Step-by-step explanation:
4530000000 = 4.53 * 10⁹