Answer:
[tex]D(x)= x\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]Side = x[/tex]
Required
Represent the diagonal as a function
Using Pythagoras theorem, the diagonal is:
[tex]D^2= Side^2 + Side^2[/tex]
Substitute x for Side
[tex]D^2= x^2 + x^2[/tex]
[tex]D^2= 2x^2[/tex]
Take the square root of both sides
[tex]D= \sqrt{2x^2[/tex]
Split
[tex]D= \sqrt{2} * \sqrt{x^2[/tex]
[tex]D= \sqrt{2} * x[/tex]
[tex]D= x\sqrt{2}[/tex]
Express as a function.
[tex]D(x)= x\sqrt{2}[/tex]
which expression is equivalent to the given expression?
What is the final temperature?
5. On Monday the price of a company's
stock is $25 per share. On Tuesday the
price drops S2, on Wednesday it rises
S6, on Thursday it rises S3, and on
Friday it drops S4. What was the price at
the end of the week?
Please help meeee
Answer:
$28 per share
Step-by-step explanation:
Monday: $25
Tuesday: "Drops $2" "drops" is a key word for minus. So, 25-2 is 23.
Wednesday: "rises" is a key-word for addition. So, 23 + 6 is 29.
Thursday: "rises" again, is a key-word for addition. So, 29 +3 = 32.
Friday: D= "drops" is a key-word for minus. So your last step is subtracting. 32-1=28.
Hope this made sense!
Last year, Amy had $20000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1690 in interest. How much did she invest in each account?
Answer:
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $9000
Step-by-step explanation:
Let Amy invested amount in a account with 8% simple interest = $a
Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]
= [tex]\frac{a\times 8\times 1}{100}[/tex]
= 0.08a
Remaining amount for the investment = $(20000 - a)
Interest earned after one year with rate of interest 9%
= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]
= $(1800 - 0.09a)
Total interest earned after 1 year = $1690
0.08a + (1800 - 0.09a) = 1690
1800 - 0.01a = 1690
0.01a = 110
a = $11000
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $(20000 - 11000) = $9000
what is 2.34 + 5.4 + 6.345
Answer:
14.085
Step-by-step explanation:
Answer:
2.34+5.4+6.345=14.085
Step-by-step explanation:
Which of the following materials will conduct electricity well?
Answer:
Step-by-step explanation:
Most metal conduct electricity well. To be more specific, anything with conduction or "free" electrons will conduct electricity very well.
unknown variables in Equations
1. 7=w/14
2.42/n=7
3. 324/18=a
Answer:
w = 98
n = 6
a = 18
Step-by-step explanation:
Question 1)
7 = w/ 14
All you need to do is multiply each side by 14 to find w:
7(14) = W
W = 98
Question 2)
42/n = 7
For this one, first multiply each side by "n":
42 = 7n
and then divide both sides by 7:
N = 6
Question 3)
All you need to do for this question is divide 324 by 18 to find "a":
324/18 = a
a = 18
I hope this helps!
-TheBusinessMan
Find the inverse of 3x - 6
3x - 6
3x - 6
-3x + 6
-3x + 6
3x + 6
3x + 6
-3x + 6
Answer:
3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.
i need someone to help me understand this and questions like this
Answer:
a >= -3
Step-by-step explanation:
So A
what is the y from for 5y+4x=-20 NEED HELP ASAP
Answer: y=−4/5x−4
Step-by-step explanation:
5y+4x=−20
Step 1: Add -4x to both sides. 4x+5y+−4x=−20+−4x 5y=−4x−20
Step 2: Divide both sides by 5.
y=−4/5x−4
Please help!! It is timed..
You receive an $18 commission on a
$18 commission on a $300 TV that you
sold. What percent commission did you earn?
What the answer ?
Answer:
6%
Step-by-step explanation:
300 ÷ 3 = 100
18 ÷ 3 = 6
10(g+3.50)=75 plz help
Answer:
g=4
Step-by-step explanation:
10(g+3.50)=75
(g+3.50)=7.50
g=4
PLEASE HELP!! ILL GIVE BRAINLIEST
Answer:
-16/5
and -9/4
Step-by-step explanation:
multiplying fractions means multiplying straight across and simplifying
Answer:
_16/5
_27/8
Step-by-step explanation:
I hope to help you
Juan plans to build a ramp from his window to the sidewalk so he can skateboard right out his window on his way to school. His window is 5ft off the ground and the sidewalk is 12ft from his house.
Given :
Height of the window, h = 5 ft.
Distance of the sidewalk from the house, d = 12 ft.
To Find :
The length of the slope.
Solution :
We know, angle between wall and the floor is 90°.
So, we can say that the system makes an right angle triangle.
Let, length of the ramp is x.
So, Applying Pythagoras theorem in the triangle is :
[tex]x^2 = 5^2 + 12^2 \\\\x^2 = 25 + 144\\\\x^2 = 169\\\\x = 13\ m[/tex]
Therefore, the length of the ramp is 13 m.
Determine whether the system of equations has one solution, no solution, or infinitely many solutions. 4x=10+4y and 2x-2y=15
Answer:
infinitely many solutions
Step-by-step explanation:
Given the simultaneous equation
4x=10+4y... 1
2x-2y=15 .... 2
_____________
4x-4y = 10 * 1
2x-2y = 15 * 2
__________--
4x-4y = 10
4x-4y = 30
Add both equation
8x - 8y = 10+30
8x-8y = 40
Divide though by 8
x-y = 5
x = 5 + y
Since the result gave 1 equation and 2 unknowns, then we will let x =k
k = 5 + y
y = k -5
k can be any integer
(x,y) = (k, k-5)
This show that the equation has infinitely many solutions
A college has a student to teacher ratio of 35 to 2. If there are 170 teachers at the college, how many students attend the
college?
Answer: 2,975
Answer: 2975
Step-by-step explanation:
From the question, we are informed that a college has a student to teacher ratio of 35 to 2 and that there are 170 teachers at the college,
The number of students in the college will then bee calculated as:
= 35 × 170/2
= 35 × 85
= 2975
Therefore, 2975 students attend the college
f(5) = ? It is not 5 as I tried at, and not f5
Answer:
ALT + F5
Step-by-step explanation:
Answer:
where is the equation?
help mee will mark as brainliest
Step-by-step explanation:
Please refer to the attachment
Opens right, a=3, vertex: (-5, -2)
Answer:
What.... what do you need help with
Step-by-step explanation:
Explanation
LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,
[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]
Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
Chau made a shirt using 3/8 yards of green fabric and 1/4 yards of blue fabric . How many more yards of green fabric did chau use ?
Write your answer as a fraction in simplest form .
Answer:
1/8 more yards
Step-by-step explanation:
ez
help me with this please and i will give brainlest
Answer:
stop asking me like I'm doing school
y = 3x - 2
y = 4x - 5
Answer:
x = 3
y = 7
Step-by-step explanation:
y=3x-2
y=4x-5
then 3x-2 = 4x-5
reduce
x = 3
y = 7
Answer:
SOLVE FOR Y
y=
2
x+5
SOLVE FOR X
x=2y−5
Step-by-step explanation:
please someone help me asap !!
Cullen said that multiplying a fraction by a fraction equivalent to 1 always results in a fraction that has the same value as the original fraction. Is he correct?
bob is picking randomly from a bag containing tiles member 1 to 10. write down the probability that the number he picks is 7
Answer:
Step-by-step explanation:
a) No of outcomes= 7
total no of outcomes= 10
probability = no of outcomes/total no of outcomes
=7/10
b) 4/10 ( since the outcomes could be 1,2,3,4)
c) no 1 to 10 has 5 odd numbers
so, probability = 5/10 = 1/2
d) multiples of 3 from 1 to 10 are :-
3,6,9= 3 no's
so probability = 3/10
Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
(Dance class) pleaseeeeeee help
Answer: freestyle
Step-by-step explanation:
Please answer the question in the photo, thanks!
Answer:
[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]
Step-by-step explanation:
The question relates to dividing a fraction by proper and another fraction
The given expression is presented as follows;
[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )[/tex]
We rearrange the fractions as improper fractions for easier division as follows;
[tex]2\dfrac{1}{3} = \dfrac{7}{3}[/tex]
[tex]-3\dfrac{2}{3} = -\dfrac{11}{3}[/tex]
Therefore, we have;
[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}[/tex]
[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]
help please????????????????????
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