Answers
Answer:
8 cm
Step-by-step explanation:
Use pythagorean theorem to find the height (a and b are equal):
[tex]a^2+b^2=16\sqrt{2}^2\\a^2+a^2=16\sqrt{2}^2\\2a^2=16\sqrt{2}^2\\2a^2=16(2)\\a^2=16\\a=\sqrt{16}\\a=4[/tex]
Area is half of the base times height. Base and height are equal for this triangle.
[tex]\frac{1}{2}(4)(4)\\\frac{1}{2}(16)\\8[/tex]
Related Questions
2x+3y=5×-y missing value
Answers
Answer:
y= 5/3 - 2x/3
Step-by-step explanation:
The 24/7 Truck Rental Company has been charging an initial rental fee of $29 plus $2.50 per hour for rental of their small trucks. After a change in pricing policy, the new fee will be $19 up front plus $3.25 per hour. After how many hours of renting the truck will the new plan be more expensive than the old plan
Answers
Answer:
14 hours
Step-by-step explanation:
Old plan :
Initial fee =. $29
Hourly fee = $2.50
New plan :
Initial fee = $19
Hourly fee = 3.25
Let number of hours = x
When new plan will be more expensive than old plan :
19 + 3.25x > 29 + 2.50x
3.25x - 2.50x > 29 - 19
0.75x > 10
x > 10 / 0.75
x > 13.3333
After 14 hours
Translate the verbal phrase below to an inequality statement:
The opposite of 10 is greater than the sum of twice a number and 5.
Answers
The expression 42+57 shows how much money Nate spent at a store. Which expression also shows how much money Nate spent?
3(14+19)
3(14x19)
6(7+57)
6(7x57)
Answers
Answer:
3(14+19)
Step-by-step explanation:
you have to distribute the 3, so multiply it by both the 14 and the 19.
what is the answer to 25=9y+3=
Answers
Answer:
25 = 9y+3
Transposing (3) to the L.H.S.:
= 25-3 = 9y
= 22 = 9y
Transposing (9) to L.H.S.:
= 22÷9 = y
= 2.444444444444444.......................
= 2.44
Answer:
y=2.44......
Step-by-step explanation:
25 = 9y+3
Transposing (3) to the L.H.S.:
= 25-3 = 9y
= 22 = 9y
= 22÷9 = y
= 2.444444444444444.......................
= 2.44
At an assembly 6 out of the first 10 students who entered the gym were carrying a backpack. Based on this information, it 700 students were at the assembly, how many students could be expected to be carrying a backpack? pls give an answer no answer choices ASAP
Answers
Answer:
Simple 700/10 is 70 right so multiply 6 by 70 which is 420 so 420 students out of 700. 420/700 ANSWER: 420 hope this is better
Step-by-step explanation:
I really need help !!
Answers
Answer:
x =44
Step-by-step explanation:
180 - 86 - 50 = 44
[tex]\frac{1}{x {}^{2} - 3 } = \frac{ \sqrt{3} }{x + \sqrt{3} } - \frac{2}{ \sqrt{3} - x } [/tex]
can someone please solve this?
Answers
Answer:
[tex]\boxed{\textsf{ The value of x is \textbf{ 8 + 6}$\sqrt{3 }$.}}[/tex]
Step-by-step explanation:
Here we are given a equation which we need today simplify and solve for x .The given equation to us is :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } [/tex]
Let's simplify the equation :-
[tex]\sf\implies \dfrac{1}{x {}^{2} - 3 } = \dfrac{ \sqrt{3} }{x + \sqrt{3} } - \dfrac{2}{ \sqrt{3} - x } \\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}-\dfrac{2}{-(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3}{x+\sqrt3}+\dfrac{2}{x-\sqrt3}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3(x-\sqrt3)+2(x+\sqrt3)}{(x+\sqrt3)(x-\sqrt3)}\\\\\sf\implies \dfrac{1}{x^2-3}=\dfrac{\sqrt3x-3+2x+2\sqrt3}{x^2-3}\\\\\sf\implies 1=\sqrt3x-3+2x+2\sqrt3 \\\\\sf\implies \sqrt3x+2x = 4-2\sqrt3\\\\\sf\implies x(\sqrt3 +2)=4-2\sqrt3\\\\\sf\implies x =\dfrac{4-2\sqrt3}{\sqrt3+2}\\\\\sf\implies x =\dfrac{ (4-2\sqrt3)(\sqrt3-2)}{(\sqrt3+2)(\sqrt3-2)}\\\\\sf\implies x =\dfrac{-8-6\sqrt{3}}{3-4}\\\\\sf\implies \boxed{\pink{\sf x =8+6\sqrt3}}[/tex]
Refer to the Exhibit Student Grades. The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
Answers
This question is incomplete, the complete question is;
Refer to the Exhibit Student Grades. A professor at a local university noted that the grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.
The professor has informed the class that 7.93 percent of her students received grades of A. What is the minimum score needed to receive a grade of A
Answer:
the minimum score needed to receive a grade of A is 88.51
Step-by-step explanation:
Given the data in the question;
Let x represent the grades of the students that were normally distributed with mean μ = 73 and standard deviation σ = 11.
so, The professor has informed the class that 7.93 percent of her students received grades of A
the minimum score needed to receive a grade of A will be:
P( X > x ) = 7.93 %
P( X > x ) = 0.0793
1 - P( X ≤ x ) = 0.0793
- P( X ≤ x ) = 0.0793 - 1
- P( X ≤ x ) = - 0.9207
P( X ≤ x ) = 0.9207
⇒ P( X-μ/σ ≤ x-μ/σ ) = 0.9207
so, x-μ/σ = InvNormal( 0.9207 )
x-μ/σ = 1.41
(x - 73) / 11 = 1.41
(x - 73) = 1.41 × 11
(x - 73) = 15.51
x = 15.51 + 73
x = 88.51
Therefore, the minimum score needed to receive a grade of A is 88.51
Express the radical using the imaginary unit I. Express your answer in simplified form
-22
Answers
Given:
The radical expression is
[tex]\pm \sqrt{-22}[/tex]
To find:
The simplified form of the given expression by using the imaginary unit i.
Solution:
We have,
[tex]\pm \sqrt{-22}[/tex]
It can be written as
[tex]\pm \sqrt{-22}=\pm \sqrt{22}\sqrt{-1}[/tex] [tex][\because \sqrt{ab}=\sqrt{a}\sqrt{b}][/tex]
[tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex] [tex][\because \sqrt{-1}=i][/tex]
Therefore, [tex]\pm \sqrt{-22}=\pm \sqrt{22}i[/tex].
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The circumference is 615.44.
The formula is
R = C/(pi)*2
( 2 is square)
( I can't find the pi symbol sorry)
So meaning in simple term, it would look like this
R = 615.44/2*(3.14)
615.44/6.28
then we divide which we will get 98
ANSWER: 98
9 × 2(3 + 5) – (10 × 12) = y
Answers
Which number line model represents the expression -4+7.25
Answers
Answer: c
Step-by-step explanation: start at -4 then add 7 to that then .5
Cumulative Frequency (C.F)
a- The fraction or percentage of
observation below the upper
boundary of each successive
interval.
b- The absolute frequency divided
by the total number of observation.
C-Its obtained by adding relative
Frequency
d-b and c
e-a and c
f-all of the above.
Answers
Answer:
number 2 + 4i is one of the root to the quadratic equation x 2 + bx + c = 0, where b and c are real numbers. a) Find b and c b)
Step-by-step explanation:
What is a counterexample for 3/4 and 6/8
Answers
Answer:
While 3/4 and 6/8 are equivalent fractions, 3/4 and 6/8 of a pizza could represent different amounts.
Tracy had made a new budget that included all of her necessary expenses. Now she needs to know how much money she has left to spend on entertainment write and solve an inequality be sure to identify your variable
Answers
Answer:
t - b >= e
Step-by-step explanation:
There are few actual necessities that a person actually needs in order to survive, everything else is actually a want and not a necessity. Such necessities include food, water, and rent. These can be represented as
Budget = b
We can use them in the following equality. While e would be representing the entertainment and t represents the total money he has.
t - b >= e
You can now plug in the actual values for t and b to find out how much you would have left for entertainment.
The rectangle shown below has a diagonal of 15 cm and a width of 7 cm. To the nearest centimeter, what is the length, x, of the rectangle? Round your answer to the nearest tenth. 15 7 X
Answers
can you help me in that problem
Answers
Answer:
(x - 10, y - 13)
Step-by-step explanation:
We have two shapes on a graph and the question is asking for the translation of rhombus QRST to rhombus Q'R'S'T.
Looking at the graph we can see that not only does the rhombus move backwards, but also downward, this indicates that our answers will be in a subtracting symbol.
So all we have to do is count the amount of spaces rhombus QRST went to get to rhombus Q'R'S'T
Graph the solution of the inequality -x+y > 2
Answers
Answer:
Included in the picture attached
Step-by-step explanation:
Desmos graphing calculator
The sum of the speeds of two trains is 718.4 miles per hour. If the speed of the first train is 3.6 mph faster than that of the second train, find the speeds of each
Answers
Answer:
the answer is 359.7
Step-by-step explanation:
Please help!! Brainliest for right answer!!
Answers
Answer:
(f o g)(x) = 4x^2 - 8
Step-by-step explanation:
(f o g)(x) = f(g(x))
f(x) = x^2 - 8
g(x) = 2x
f(g(x))
f(2x) = (2x)^2 - 8
= 4x^2 - 8
(f o g)(x) = 4x^2 - 8
a biologist analyzes 15 bacteria samples each day a. complete the table
Answers
Answer:
Day 1=15 Day 2=30 Day 3=45 Day 4= 60 Day 5= 75. The expression is N+15
Step-by-step explanation:
The complete table:
Days 1 2 3 4 5
Total samples 15 30 45 60 75
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of bacteria samples analyze each day = 15
The equation for the number of bacteria analyzes after x days.
B = 15x
Now,
x = 1, B = 15
x = 2, B = 30
x = 3, B = 45
x = 4, B = 60
x = 5, B = 75
Thus,
Days 1 2 3 4 5
Total samples 15 30 45 60 75
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ5
I arrive at 5:52 and play for 1 hour and 12 mins. What time do I stop playing?
Answers
Answer:
7:04 p.m.
Step-by-step explanation:
Answer:
7:04
Step-by-step explanation
12-8 + 4
5:52 + 0:08 = 6:00
6:00 + 1:00 + 7:00
7:00 + 0.04 = 7:04
Solve for the variable indicated
-4x-8y=36 solve for x
Answers
Answer:
x = -2y - 9
Step-by-step explanation:
First isolate the variable by putting the x on a side by itself.
-4x=36+8y (8y becomes positive when it changes sides)
Then divide the entire equation by -4 to make the x stand alone.
x = -9 -2y
Some teachers prefer the variables at the beginning of the equations so it could also read
x = -2y - 9
Hello there!
Question:-
[tex]-4x-8y=36[/tex]
We need to find the value of x.
Solution:-
[tex]\sf \longmapsto-4x-8y=36[/tex]
Firstly, Add 8y to both sides :-
[tex]\sf \longmapsto \: - 4x - 8y+8y=36+8y[/tex]
On Simplification:-
As (-) and (+) equals to (-),It Will be 8y-8y.Answer would be 0.
[tex]\sf \longmapsto \: - 4x - 0 = 36 + 8y[/tex]
[tex]\sf \longmapsto \: - 4x = 8y + 36[/tex]
Then, Divide both sides by -4:-
[tex]\sf \longmapsto \: \dfrac{4x}{ - 4} = \dfrac{8y + 36}{ - 4} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: x = - 2y - 9[/tex]
______________________________________
Henceforth the value of x is :-
[tex] \boxed{\tt \: x = - 2y - 9}[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
andre and Elena are each saving money. Andre starts with $100 in his savings account
nd adds $5 per week. Elena starts with $10 in her savings account and adds $20 each
jeek.
1. Write an equation in y= mx + b form to represent at what rate Elena and Andre are
aving their money.
Y=mx+b
Answers
Answer:
Andre y=5x+100
Elena y=20x+10
the rate Elena is 20
the rate Andre is 5
Step-by-step explanation:
14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34) What is the summation notation for the arithmetic series? Enter the correct values for x, y, and z.
x =
y =
z =
Answers
Answer:
total -70
Step-by-step explanation:
x =18
y=-28
Z = -60
An Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
The Total value is = -70
x = 18
y = -28
Z = -60
Calculation of Arithmetic SeriesAn Arithmetic series: 14 + 6 + (–2) + (–10) + (–18) + (–26) + (–34)
1st an 2nd element difference is = 14 - 6 = 8
2nd and 3rd element difference is = - 6 - 2 = -8
3rd and 4th element difference is = - 2 + 10 = 8
4th and 5th element difference is = -10 + 18 = 8
The difference (x,y and z) is 8 and also it's negative because the series is lowering the previous value.
Now, Proof of x,y and z = - 8
14 - 8 = 6
6 - 8 = - 2
- 2 - 8 = - 10
- 10 - 8 = - 18
- 18 - 8 = - 26
-26 - 8 = -34
Therefore, The value is = total -70
x = 18
y = -28
Z = -60
Find more information about Arithmetic Series here:
https://brainly.com/question/24295771
2 9/10 as a decimal number
Answers
2 9/10 in decimal form would be,
[tex]2.9[/tex]
if you have any other questions like this,
let me know ill help you!!
Answer:
2 9/10=2.9
Step-by-step explanation:
We know that 9/10 is the same as 9÷10
Therefore:
2 9/10 = 2 + (9÷10)
Then using
Long Division for 9 divided by 10
we have
=2+0.9=2.9
Please give me brainliest because I worked hard on this answer and I am trying to level up
Help plz I’m suck at math
Answers
Because it’s a coordinate that’s on the slope
1/8 and 9/5 common denominator and solve the problem
Answers
Answer:
Step-by-step explanation:
You haven't stated a problem. Do you want to add the fractions together? Subtract them?
Least common multiple of 8 and 5 is 40.
1/8 = 5/40
9/5 = 72/40
1/8 + 9/5 = 5/40 + 72/40 = 77/40 = 1 37/40
a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a white marble on the second?
Answers
Answer:
30/90 or 1/3
Step-by-step explanation:
This is because we know that 6+4=10. So we know the odds of drawing a white marble first is 6/10. And if we draw one without replacing it. This makes the second time 5/9 for white and 4/9 for black. We can then multiply 6/10 by 5/9 and get 30/90 which is equal to 1/3.
Hope this helps!
Answer:
1/3
Step-by-step explanation:
P=6/10 ×5/9=30/90=1/3