Answer:
32
Step-by-step explanation:
You have to use pythagorean theorem for this, where a and b represent the 2 sides while c represents the hypoteneuse.
a²+b²=c²
If the diagonal of a square is 8, it divides the square into 2 triangles, both with a hypoteneuse of 8. Since it is a square, that means the other 2 sides will have equal lengths. So input 8 into the equation:
a²+b²=8²
a²+b²=64
Then you can change a and b into the same variable, since you know they will be equal due to you working with a square.
a²+a²=64
simplify: 2a²=64
divide both sides by 2: a²= 32
square root both sides: a = [tex]\sqrt{32}[/tex]
then you know the length of each side is [tex]\sqrt{32}[/tex]
to find the area of a square, you must multiply both sides by each other, so do [tex]\sqrt{32}[/tex]*[tex]\sqrt{32}[/tex], which will give you 32 since you are essentially doing this:
[tex](\sqrt{32})^2[/tex] in which the square and square root cancel out.
plzzzzzzzzzzz helppppppppppppppppppp
Answer:
A. Step 1
Step-by-step explanation:
He made the mistake on step 1 because he didn't distribute
Answer:
Step 1
Step-by-step explanation:
2(5g - 1) = 3
1 Step: Distribute
2(5g - 1) = 3
10g-2=3
2 step: Add 2 to both side of the equation
10g -2=3
10g= -2+2=3+2
3 step: Simplify
4 step: Divide both sides of the equation by the same term
10g=5
10g/10 = 5/10
5 step: Simplify
g = 1/2
Please help me by solving this!
Answer:
Ani age is 21
Biju age is 18
Step-by-step explanation:
let Ani age be X
let Biju age be Y
the difference of their age is 3
i.e X - Y = 3......,....(equ. 1)
let Dharam age be A
let Cathy age be B
i.e A = 2x
B = y/2
the difference of their age is 30
Y/2 - 2x = 30..... (equ. 2)
from equ.1 X = ( 3+y).........( equ.3)
y/2 - 2(3+y) = 30
y/2 - 6 + 2y = 30
multiply both side by 2
y - 6 + 2y = 60
y + 2y = 60 - 6
3y = 54
Y = 18
from equ.3
X = 3+Y where y is 18
X = 3+18 = 21
solve for x
103.5
4.7
55.0
Answer:
It will be the first one
Step-by-step explanation:
Hope this Helped
5/6 times k = 1/6 what is K
Answer:
[tex] \frac{5}{6} k = \frac{1}{6} \\ \ \\ \ k = \frac{1}{6} \times \frac{6}{5} \\ \\ k= \frac{1}{5} [/tex]
Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
A taxi driver chargers $2.80 for an initial fee and $1.20 for each mile. Write and solve an equation to find out how many miles a passenger can travel for $20.
Answer:
14 miles
Step-by-step explanation:
2.80+1.20x=20
-2.80 -2.80
1.20x=17.20
1.20x/1.20= 17.20/1.20
x=14 miles
Hope this helps!
Adult tickets to a play cost $22 tickets for kids cost $15. Tickets for a group of 11 cost a total of $228. How many children and how many adults went to the play?
Answer:Number of children = 2 and number of adults = 9 attended the play
Step-by-step explanation:
Step 1
Let the number of children be represented as x
and the number of adults in the group be represented as as y
such that the total number of the group that went to the play
= x+y=11--- equation 1
And the total cost paid for the play will be expressed as
15x+ 22y= 228------ equation 2
Step 2-- Solving
x+y=11--- equation 1
15x+ 22y= 228------ equation 2
B y elimination method, multiply equation 1 by 15 to give equation 3 and then subtract from equation 2
15x+ 22y= 228------ equation 2
15x+15Y= 165----- equation 3
7y=63
y= 63/7= 9
y= adults = 9
therefore x = number of children will be
x+y=11
x+ 9=11
x= 11-9= 2
In the group that attended the play, Number of children = 2 and number of adults = 9
For 3/4 of a pound of peanuts, Jimmy paid $2.35. What is the unit rate (dollars per pound)? *
Answer:
$3.13/lb
Step-by-step explanation:
Divide 3/4 pound into $2.35:
$2.35
--------- = $3.13/lb
3/4 lb
Which is the graph of y = –|2x + 1|?
Group of answer choices
Answer:
The answer would be the third graph with the coordinates as: (0,-1), (1, -3)
Step-by-step explanation:
Hope this helps :))
1. Write a rule for the transformation performed if Q(3 , 5) translates to Q’( 3, 18).
2. Consider the point Q(4,-3) which is translated to (3,2). What would the pre-image of P(1, 2) be under the same translation?
Function Notation.
Find the range values (y-values) for function f(x)=2x^2-4 when the domain (x-value) is (-2,0,1)
f(-2)=2(-2)^2-4= ?
f(0)=2(0)^2-4= ?
f(1)=2(1)^2-4= ?
Answer:
1. vertical translation (the point goes straight up)
2. P'(0,7) (the translation was up five units and over 1 unit)
3. f(-2)=2(-2)^2-4= (all y values are 4) (0,4)
f(0)=2(0)^2-4= (all y values are -4) (0,-4)
f(1)=2(1)^2-4= (all y values are -2) (0,-2)
Name the Property:
Associative Property, Distributive
Property, Identity Property of
Multiplication
13. ax 1 =a
Answer:
Property of Multiplication
Step-by-step explanation:
hope this helps
x²+8x-84=0
Formúla General
Answer:
[tex]x_{1} =-14\\\\x_{2} =6[/tex]
Step-by-step explanation:
[tex]x^{2} +8x-84=0\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=8; \: \: c=-84\\\\x=\dfrac{-8 \pm \sqrt{8^{2}-4 \cdot 1 \cdot (-84) } }{2 \cdot 1}=\dfrac{-8 \pm \sqrt{400 } }{2}=\dfrac{-8 \pm20}{2} =-4 \pm 10\\\\x_{1} =-14\\\\x_{2} =6[/tex]
Please help me...???
Answer:
Step-by-step explanation:
77
Answer:
16.5 in³
Step-by-step explanation:
Length(L) = 2.2 in
breadth (b) = 1.5 in
height (h) = 5 in
Volume of the cuboid
= L * b * h
= 2.2 * 1.5 * 5
= 16.5 in³
if p is the smallest of four integers, what is their sum interms of P
Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB
Answer:
graph shown below
Step-by-step explanation:
ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.
On a graph, this would look like:
Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34
Answer:
x = 0.69
Step-by-step explanation:
11/x + 18 = 34
11/x = 16
11 = 16x
x = 0.6875 = 0.69
A UFO is coming in to pick up some test subjects. Their elevation above the ground is 60,000 feet. Their laser sights tell them that a direct (diagonal) path to the nearest landing area is 90,000 feet away. What is the angle of depression as they come in to land?
Answer:
41.83°
Step-by-step explanation:
It is given that :
The vertical distance of the UFO from the ground = 60,000 feet
The diagonal distance of the landing area to the UFO = 90,000 feet
In order to find the angle of depression, we have to use the trigonometric ratios, i.e.,
[tex]$\sin \ \theta = \frac{\text{perpendicular distance}}{\text{hypotenus}}$[/tex]
[tex]$\sin \ \theta = \frac{60,000}{90,000}$[/tex]
[tex]$\sin \ \theta = \frac{2}{3}$[/tex]
[tex]$\sin \ \theta = 0.667$[/tex]
∴ [tex]$\theta = \sin^{-1 }(0.667)$[/tex]
= 41.83°
what is the error in this polynomial x²+9=(x+3)(x+3)?
Answer:
(x + 3i)(x - 3i)
Step-by-step explanation:
Wrong statement: x² + 9 = (x + 3)(x + 3)
Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)
Write as a fraction and fractional model model: there is one container of fruit juice and 2 people want juice
Question seems incomplete but we would make assumptions in order to answer and explain
Answer and explanation:
If we wish to model this situation in the form of a fraction: there is one container containing 30 cans of fruit juice and 2 people want fruit juice, we would be finding how many fruit juice each person would get from the container.
Given one container= 30 cans of fruit juice
Number of persons that require fruit juice = 2
Therefore fraction of fruit juice in relation to required fruit juice= 30/2
6x - 18 < 27 please help me with answer
Answer:
that's inequality topic right?
The local grocery store sets a bag of dog food for $22. The store pays $13 for the dog food. Which oquation can be used to find the markup on the dog food? Options: A. X+9=13 B. X+13=22 c. X-9=22 d. X-22=13
Answer: The answer is b
Step-by-step explanation:
You work for a city department which is hosting a 5 kilometer run. Your coworker measured the course and doing that it is only 4.75 kilometers long. He ask you to move the finish line forward 0.25 kilometers. Your tape measure is measured in feet and inches. What is the distance he asked you to move in line in the nearest foot?
Answer:
820 feet
Step-by-step explanation:
We can use the rule of three in this scenario since this is a ratio problem with one unknown. To do this we simply multiply the diagonal values and divide by the final value. We know that there are a total of 3280.84 ft in a single kilometer, therefore...
1 km == 3280.84 ft
0.25 == x
(0.25 * 3280.84) / 1 = 820.21
Now we can see that there are 820.21 ft in the 0.25 kilometers. If we round this to the nearest foot we would round down to a total of 820 feet.
At the circus, a clown is shot from a cannon. This situation can be modeled by the function: h = – 16t2 + 45t + 15, where 'h' is height in feet and 't' is time in seconds. Height of the clown
Answer:
t = 3.11 seconds
Step-by-step explanation:
Given that,
At the circus, a clown is shot from a cannon. This situation can be modeled by the function :
[tex]h = -16t^2 + 45t + 15[/tex]
Where
'h' is height in feet and 't' is time in seconds
We need to find how long did it take for the clown to reach his highest point. It can be calculated as follows :
[tex]-16t^2 + 45t + 15=0[/tex]
We need to solve for t. It can be calculated as follows :
[tex]t=\dfrac{-45\pm \sqrt{45^2-4(-16)(15)} }{2(-16)}\\\\t=-0.301\ \text{and}\ 3.11\ s[/tex]
So, the required time is 3.11 seconds.
Which statement is true for brainliest
Answer:
<A≅<Z
Step-by-step explanation:
Hope This Helps!
need help with one question
Answer:
I think it's x=-4
Step-by-step explanation:
3x= -12
x= -4
Perform the indicated operation.
f (x) = x2 − 1 g(x) = 3x + 4 Find f (9) − g(9)
Answer:
f(9)=17//g(9)=31
Step-by-step explanation:
substitute- (9)2-1= 18-1=17
substitute and solve- 3(9)+4=27+4=31
Hope this helps
Please help quick will give brainliest!
Answer: Choice A) The linear equation, aka straight line
Explanation:
The end behavior is determined by the ratio of the leading terms. This is because for large x values, the leading terms "drown out" (so to speak) the weight of the other terms.
We divide the leading terms 10x^3 over 2x^2 to get 5x. So as x gets really large, in either the positive or negative direction, the tail end portions will start to approach y = 5x. This is the slant or oblique asymptote. The end behavior or y = 5x has the left side going down, while the right side is going up. The same applies for the f(x) function as well.
(GIVING BRAINILEST) Which characteristic do stable ecosystems tend to have s
Answer:
It will be C
Step-by-step explanation:
This is because ecosystems worh high biodiversity tend to be more stable
Hope this Helped
Answer:
The awnser is c i took the test ( a high amount of bio deversety)
Step-by-step explanation:
Expanded form of 5*10^-9
Answer:
5,000 + 300 + 20 + 5 = 5,325
Step-by-step explanation:
A bike rental company rents beach bikes. They charge an initial fee plus $3 for each hour the
bike is rented. Charles rented a bike for 4 hours and was charged $22. Let x represent the
number of hours and y represent the total cost of the rental.
Use the key information above to find an equation that
represents this rental costs at the bike company. How much
would it cost someone to rent the same bike, with the same
fees, for 6 hours?
O $26
O $28
O $30
O $24
Since chad was charged 1 dollars for each hour for 6 hours, we can represent this as 1 x 6. Now subtract 6 dollars from the bill for the hours and it leaves the initial fee of $4 for rental.
Now check your work:
(1 x 6) + 4 = 10
Answer:
They would pay $28.
Step-by-step explanation:
4 x 3 = 12, 22-12= 10. $10 is initial fee.
6 x 3 = 18, 18+10= 28. $28 for 6 hours
