Answer:
x = 25
Step-by-step explanation:
Complementary angles add to 90 degrees
x+65 = 90
Subtract 65 from each side
x = 90-65
x = 25
The Definition of Complementary Angles states that if two angles are
complementary, then the sum of their measures is 90°.
To find the complement of an angle, we take 90 degrees minus the
measure of the angle which in this case 90° - 65° or 25°.
So the complement of the 65° angle measures 25°.
Find the value of x !!!
Answer:
x = 5
Step-by-step explanation:
From the Euclidean theorem
10^2 = x(x + 15)
100 = x(x+15) from this equation we can conclude that x = 5 and when
added to 15 it'd be 20 and multiplied by itself the result is equal to 100
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
Choose the best definition for the following term: substitution
A letter that holds the place for some unknown value in mathematics
A process where you must look for terms that have identical variable parts and then combine their coefficients
A process where if two things are equal, one can be put in the place of the other and nothing will change
Terms that have identical variable parts
Answer:
A process where if two things are equal, one can be put in the place of the other and nothing will change
Step-by-step explanation:
Its like replacing :)
Answer:
A letter that holds the place for some unknown value in mathematics
Step-by-step explanation:
Well in all honesty subbing has many definitions depending on what it's used for so in what way are you implying that subbing is used for?
Is the function even, odd or neither?
f(x) = |x| + 1
Your answer:
Even
Odd
Neither
Answer: Even
Step-by-step explanation:
This graph has been translated up by one unit but is still symmetrical about the y axis.
A simple proof would be to check if f(x) = f(-x). If it does, then it is even.
To check for an odd function, check if f(-x) = -f(x). If it does, then it is even.
To check for neither, f(-x) will not equal -f(x)
(x+y)^2 (x2+2xy+y2) pleas show all work
Answer:
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
Step-by-step explanation:
1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)
2
=a
2
+2ab+b
2
.
({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x
2
+2xy+y
2
)(x
2
+2xy+y
2
)
2 Expand by distributing sum groups.
{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
2
(x
2
+2xy+y
2
)+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
3 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2xy(x
2
+2xy+y
2
)+y
2
(x
2
+2xy+y
2
)
4 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
(x
2
+2xy+y
2
)
5 Expand by distributing terms.
{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x
4
+2x
3
y+x
2
y
2
+2x
3
y+4x
2
y
2
+2xy
3
+y
2
x
2
+2y
3
x+y
4
6 Collect like terms.
{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x
4
+(2x
3
y+2x
3
y)+(x
2
y
2
+4x
2
y
2
+x
2
y
2
)+(2xy
3
+2xy
3
)+y
4
7 Simplify.
{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x
4
+4x
3
y+6x
2
y
2
+4xy
3
+y
4
answer: x^4+4x^3 y+6x^2 y^2+4xy^3+y^4
Last Monday local mail carriers delivered 1,344 pieces of mail. Of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. How many letters did the mail carriers deliver on Monday?
Answer: 1008 letters
Step-by-step explanation:
From the question, last Monday, a local mail carriers delivered 1,344 pieces of mail and of all the deliveries they made, 1 / 6 were magazines, 1 / 12 were packages, and the rest were letters. The fraction of letters will be:
= 1 - (1/6 + 1/12)
= 1 - (3/12)
= 9/12 = 3/4
We will now multiply 3/4 by 1344 to get the number of letters delivered.
= 3/4 × 1344
= 1008 letters
Answer:
1008 letters
:):):):):):):)
Eric and Simon each go for a morning jog before work. Eric's jogging
pace is represented by the equation y=6x, where y is the number of
miles he jogs and x is the number of hours he jogs. Simon's pace is
given by the graph. Choose the statement that correctly compares their
unit rates.
Answer:
Simons pace is 2 more miles per hour more than eric's.
Step-by-step explanation:
Answer:
Simon's unit rate is 2 more miles per hour than Eric's unit rate
Step-by-step explanation: D
A flight is plotted on a map having the scale
1 inch = 400 miles. On the map it is 9 72
inches from point A to point B. If a plane flies
this distant at the speed of 300 mph, how
long will the trip take?
inu
Answer:
Step-by-step explanation:
9.72*400
= 3888 miles
Inform me if I am right
10. A cliff on the seashore is eroding at the rate of 17 centimeters per year. Write and solve an equation to find the number of
years in which the cliff will erode 85 centimeters.
Answer:
The number of years in which the cliff will erode 85 centimeters are:
5 years.Step-by-step explanation:
To solve the question in the text, you must create a formula that includes the rate (17 centimeters per year) and a variable representing the time (t), how I show below:
f(t) = 17tWhere:
t = time in yearsRemember that where are not symbols between two numbers o variables, it means you must multiply (17t actually is 17 * t). Now you only must replace t by years 1 per 1 until obtain the value of 85 (the eroding wanted):
f(1) = 17(1) = 17 f(2) = 17(2) = 34 f(3) = 17(3) = 51 f(4) = 17(4) = 68 f(5) = 17(5) = 85How you can see, when the time is equal to 5, the f(t) or the eroding is 85, the value we wanted.
Factorise fully
5ac - 10a2b + 30a
Answer:
5a(c-2ab+6)
Step-by-step explanation:
5a is in all three, then factorise
Answer:
5a(−2ab+c+6)
Step-by-step explanation:
Factor 5ac−10a2b+30a
−10a2b+5ac+30a
=5a(−2ab+c+6)
Answer:
5a(−2ab+c+6)
ANSWER ASAP -4x-4/3=x-6
Answer:
x = 0.9333333
Step-by-step explanation:
-4x - 4/3 = x - 6 Multiply through by 3
-12x - 4 = 3x - 18 Add 12x to both sides
-12x+12x-4 = 3x+12x - 18 Combine like terms
-4 = 15x - 18 Add 18 to both sides
-4+18=15x - 18 + 18 Combine like terms
14 = 15x Divide by 15
14/15 = x
x = 0.933333
The perimeter of a square is 3x-4 units. If the area of the square is 25 square units, what is the value of x?
Answer:3
Step-by-step explanation: 3(3)-4 =5
Area now is 5•5 equivalent to 25 :)
The value of x is 8.
Given that, the perimeter of a square is 3x-4 units, and the area of the square is 25 sq units, we need to find the value of x,
We know that the perimeter of the square = 4(sides)
Therefore,
4(sides) = 3x-4
sides = 3x-4 / 4
Now, the area = side²
= (3x-4 / 4)²
therefore,
(3x-4 / 4)² = 25
Taking the roots,
3x-4 / 4 = 5
3x-4 = 20
3x = 24
x = 8
Learn more about squares, click;
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Choose the product. -5p 3(4p 2 + 3p - 1) -20 p 5 + 3 p - 1 -20 p 5 - 15 p 4 + 5 p 3 20 p 5 + 15 p 4 - 5 p 3 -20 p 6 - 15 p 4 - 5 p 3
Answer:
20 p^5 + 15 p^4 - 5 p^3
Step-by-step explanation:
5p^3(4p^2 + 3p - 1)
Distribute
20 p^5 + 15 p^4 - 5 p^3
Answer:
- 20 p^5 - 15 p^4 + 5 p^3
Step-by-step explanation:
= - 5p^3(4p^2 + 3p - 1)
= - 20 p^5 - 15 p^4 + 5 p^3
Hope this helps!
What is the surface area of the prism, in square centimeters?
Answer:
1/2 x 6 x 4 x 10 = 120
Step-by-step explanation:
area of triangle x extended length
Solve the equation x + 7 = 12
Answer:
5
Step-by-step explanation:
x=12-7
x = 5
Answer:
x=5
Step-by-step explanation:
x+7=12
If you do the same thing to both sides of the equation, then the trueness of the equation does not change. Therefore, I can subtract 7 from both sides of the equation to isolate x.
x+7-7=12-7
x=5
Hope this helps!
what is the solution to -122 < -3(-2-8x) -8x
Answer:
x>-8
Step-by-step explanation:
-122<-3(-2-8x)-8x
-122<6+24x-8x
-128<16x
x>-8
I need help
A.4
B.1/4
C.-4
D.-1/4
Answer:
The answer is C/-4.
Step-by-step explanation:
Mark me brainiiest.
An rock is thrown upward from a platform that is 202 feet above ground at 70 feet per second. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
to determine when the rock hit the ground.
[Recall that
v
0
is the initial velocity of the object and
h
0
is the inital height of the object.]
Answer:
in 6.36004793262 seconds
Step-by-step explanation:
h(t) = –16t^2 + v*t + h
0=-16t^2 + 70*t+ 202
t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))
t=(-70 ± sqrt(4900+64*202))/-32
t=(-70 ± sqrt(4900+12928))/-32
t=(-70 ± sqrt(17828))/-32
t=(-70 ± sqrt(2*2*4457))/-32
t=(-70 ± 2 sqrt(4457))/-32
t=(-70 + 2 sqrt(4457))/-32
t=-1.98504793262
t=(-70 - 2 sqrt(4457))/-32
t=6.36004793262
since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is
in 6.36004793262 seconds
I don't know till what I am supposed to round, so I will leave it there.
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? (5 points)
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hours
3 ⋅ 12 hours
HELP ASAP U WILL GET BRAINLIEST
Please answer the question stated below:
help help help helphelp h;i
Answer:
2
Step-by-step explanation:
It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.
Answer:
I got 2
Step-by-step explanation:
Which expression represents the greatest common factor (GCF) of 105 and 126? A. 3 x 7 B. 2 x 5 x 7 C. 2 x 3 x 7 D. 5 x 7
(HELP AS FAST AS YOU CAN PLEASE!!!!!)
Answer:
Step-by-step explanation:
factors of 105:
1, 3, 5, 7, 15, 21, 35, 105
factors of 126:
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCF: 3*7 or 21
The GCF ( 105, 126) = 3 *7 =21.
What is GCF?The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Given:
105 = 3 * 5 * 7
126 = 2 * 3* 3 *7
So, GCF ( 105, 126) = 3 *7 =21
Learn more about GCF here:
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help help help help help help help
Answer:
The answer would be C
Step-by-step explanation:
The answer ;))))))))
Answer: option C: A1 = 50.3 in2; A2 = 113.1 in2; A3 = 176.7 in2
Step-by-step explanation: Please see the image below!
The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Answer:
it states: a squared + b squared = c squared ( the hypotenuse)
Step-by-step explanation:
The difference between a number and 13 is 25. What is the number?
Answer:
37 is the number
Step-by-step explanation
37- 13 = 25
12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?
What is the circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ).C=_____cm
I just don't get it at all
PLZ HELP
Circumference = 2 pi r
R = 10
Pi = 3.14
Circumference = 2×3.14×10
=20×3.14 = 62.8 cm
_____________________________
Hey!!!
Radius(r)=10 cm
Circumference=?
Now,
Circumference=2 pi r
=2*3.14*10
=62.8 cm
So the answer is 62.8 cm
Hope it helps
Good luck on your assignment
______________________________
help asap pls like right nowww
Answer:
number 4 is D
Answer:
#4 is D
annnnnnnddddddddddddd............. I dont see the answers for number 5 ;(
Consider the long division problem below. What error did Sam make when he computed the answer? 0.043 StartLongDivisionSymbol negative 0.2709 EndLongDivisionSymbol minus 258 = 129. 129 minus 129 = a remainder of 0 and quotient of negative 63. The answer should be Negative 6.3. Sam should have moved the decimal point 3 places to the right in both the divisor and the dividend. The answer should be Negative 630. Sam should have moved the decimal point 5 places to the right in both the divisor and the dividend. The answer should be Negative 65. Sam made an error subtracting 258 from 270. The answer should be Negative 61. Sam made an error when multiplying 6 times the divisor.
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation: