Answer:
Length = 6 inches, Width = 10 inches
Step-by-step explanation:
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Note :
L = Length
W = Width
The perimeter of a rectangle = 2( L + W)
The area of a rectangle = LW.
A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.
32 = 2( L + W)
Divide both sides by 2
16 = L + W.... Equation 1
L = 16 - W
Also:
LW = 60....... Equation 2
Let us substitute 16 - W for L in Equation 2
(16 - W)W = 60
16W - W² = 60
W² - 16W + 60 = 0
W² - 6W - 10W + 60 = 0
W(W - 6) - 10(W - 6) = 0
W - 6 = 0, W = 6 inches
W - 10 = 0, W = 10 inches
Solving for L
W = 10
L = 16 - 10
L = 6 inches
Therefore, the dimensions of the shingle =
Length = 6 inches, Width = 10 inches
What equation can be used to solve for x
Help quickly!!
A class of 50 students elected a class president.
Candidate A received 15 votes.
Candidate B received 25 votes.
The remaining students did not vote.
Which expression gives the percent of voters who voted for Candidate B?
Answer:
the answer is 25/15+25 ×100
step by step explanation:
its only 15+25 because not everyone voted so you only count those who voted
Answer:
25/50x100
Step-by-step explanation:
25/50x100
=25x2
=50
Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?
Answer:
$100 is less than or equal to x
Evaluate the expression
Answer:
3
Step-by-step explanation:
b=3 and its the same question on other side except the expression is in multiplication parenthesis.
PLEASE HELP FAST ILL GIVE BRAINLEST Match each function with corresponding restrictions to its domain when p(x)2x and q(x)=2^x
Answer:
1. r(x) = [q(x)]/[p(x)] is x ≠ 0
2. r(x) = p(x) * q(x) is All real numbers
3. r(x) = [1]/[p(x) + 16q(x)] is x ≠ -2
4. r(x) = [q(x)]/[p(x) + 2] is x ≠ -1
5. r(x) = [1]/[p(x) - q(x)] is x ≠ 1, 2
Graph the
equation.
y = 3x+4
Answer:
Plot the following points:
(-2,-2)
(-1,1)
(0,4)
(1,7)
(2,10)
Step-by-step explanation:
Just plug any random number in for x to solve for y.
Please help- will give brainlist. I would appreciate if you told me how you got the answer but you don’t have to
Answer:
14 units
Step-by-step explanation:
Area is l*w and since the length is known, solve for width
182/13=13w/13
w=14
Answer:
14 units
Step-by-step explanation:
Given, the area of rectangle = 182 square units
length = 13 units
width = ?
By using the formula to find the area of a rectangle, we have
area of rectangle = length * width
182 = 13 * width
182/13 = width
14 units = width
can someone help me with this pleaseee ill give you brainliest and points :)
Find the surface area of the triangular prism.
WILL GIVE BRAINLIEST!!
Answer:
462.99
Step-by-step explanation:
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
19 square cm
Step-by-step explanation:
4 + 2.5 = 6.5
4 × 6.5 = 26
Since the shape is half of the product above, we're going to divide it by 2
26 ÷ 2 = 13
4 × 3 = 12
12 ÷ 2 = 6
Now to add them together
13 + 6 = 19
And I also need help in this one.
What is the solution to this equation?
- 4
A. Y = 4
B. X= 8
C. X= 2
D. X= 16
Answer:
The correct answer is C. X= 2
i want derivative for (x+1)^2×e^x
please help
Answer:
(x + 1)(x + 3)eˣ
Step-by-step explanation:
Since f(x) = (x + 1)²eˣ
df(x)/dx = d[(x + 1)²eˣ]/dx
By the product rule, duv/dx = udv/dx + vdu/dx
where u = (x + 1)² and v = eˣ
So, df(x)/dx = d[(x + 1)²eˣ]/dx
= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx
= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx (by the chain-rule dy/dx = dy/du × du/dx)
= (x + 1)²eˣ + eˣ[2(x + 1) × 1]
= (x + 1)²eˣ + 2eˣ(x + 1)
= (x + 1)eˣ(x + 1 + 2)
= (x + 1)eˣ(x + 3)
= (x + 1)(x + 3)eˣ
Emily has 2 cups. Amilia has 26 cups. Amilia has how many times as many cups as Emily?
Answer:
13
Step-by-step explanation:
Please answer asap!!
chad bought a pair of jeans that cost 54$ plus 4.32 sales tax. What percent sales tax did he pay?
Answer:
2.3328
Step-by-step explanation:
Please help me out please
Answer:
Your answer is 8.06.
Step-by-step explanation:
Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:
a² + b² = c²
Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.
a is going to be your smallest leg, so in this case a = 4.
b is going to be your longest leg, so it is b = 7.
Now, you don't know what c yet is so you simply write it as:
4² + 7² = c²
Do the exponents.
16 + 49 = c²
Add.
65 = c²
Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.
√65 = √c2
Once you do that, you have your answer!
8.0622577483 = c
Now just simplify and you're done :)
8.06
Might sound hard now but you'll get the hang of it.
Name the polygon. Then tell whether it is a regular polygon or not a regular polygon.
Answer:
not a regular polygon
Step-by-step explanation:
A regular polygon is an n-sided polygon in which the sides are all the same length and are symmetrically placed about a common center
Complete the equation for the circle with center (-2,-4) and radius 9?
Answer:
Step-by-step explanation:
55654
check all that apply
which of the following circles have their centers on the y axis
Answer:
ABD
Step-by-step explanation:
If you have 2x - 4 list three input and their output values.
With 2x-4 given to you, you can substitute x (input) and solve with that input to get y (output).
Ex. 2(0)-4=-4, (0, -4)
2(1)-4=-2, (1, -2)
2(2)-4=0, (2, 0)
A class has 40 students. Their are 22 girls in the class. Express the number of boys in the class as a fraction.
Answer:
18/40
Step-by-step explanation:
18/40
Apologies if this is incorrect.
What is 62 remainder 3 as a whole number
Answer:
623
Step-by-step explanation:
Answer:
20 2/3
Step-by-step explanation:
In the diagram, m∠G = 95°. What is m∠E?
Answer:
85*
Step-by-step explanation:
Its really complicated but manage to find it
2. Find the length of the missing side. (1 point)
600
12
The triangle is not drawn to scale.
02
O 12
2
063
Answer:
x²+6²=12²
x²+36=144
x²=144-36
x²=108
x=√108
Explain your answer please ;w; : Change -2Y - 2X = -6 to the slope intercept form of the equation of a line.
Answer:
y = -x + 2
Step-by-step explanation:
The desired equation must have the form y = mx + b.
Start with -2Y - 2X = -6 and solve for y: y + x = 2
Now solve this result for y:
y = -x + 2
The side length of a triangle or 12.5 inch 4.4 inch and 11.72 which statement best describes the triangle formed using these
side lengths
Answer:
scalene
Step-by-step explanation:
12.5, 4.4, and 11.72 are all different measurements
i hope this helped
Omar is driving to Denver. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Omar has 55 miles to his destination after 44 minutes of driving, and he has 41.5 miles to his destination after 62 minutes of driving. How many miles will he have to his destination after 74 minutes of driving?
Answer:
After 74 minutes of driving, he still has 32.5 miles to his destination.
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that a line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁)
Now let's go to the question.
We know that the distance to his destination is a linear function of his total driving time.
We know that he has 55 miles to his destination after 44 minutes of driving. We can write this as the point (44 min, 55mi)
We know that he has 41.5 miles to his destination after 62 minutes of driving, we can write this as (62 min, 41.5mi)
Then the slope of this equation will be:
a = (41.5mi - 55mi)/(62min - 44min) = -0.75 mi/min.
Then the linear equation is something like:
y = (-0.75 mi/min)*x + b
to find the value of b we can use the fact that this line passes through the point (44 min, 55mi)
This means that when x = 44 min, we must have y = 55mi
Then:
55mi = (-0.75 mi/min)*44min + b
55mi + (0.75 mi/min)*44min = b
88mi = b
Then the equation is:
y = (-0.75 mi/min)*x + 88mi
Now we want to know how many miles will he have to his destination after 74 minutes of driving, then we need to replace x by 74 min.
y = (-0.75 mi/min)*74min + 88mi
y = 32.5mi
After 74 minutes of driving, he still has 32.5 miles to his destination.
What is the probability of throwing 2 dice and getting the sum of 12?
Answer:
1/36
Step-by-step explanation:
P(6,6) = 1/6 x 1/6 = 1/36
5. Each of 5 gift bags contains x pencils. Tyler adds 3 more pencils to each bag.
Altogether, the gift bags contain 20 pencils. Create an equation comparing the
number of pencils in each gift bag to the total. Then find the original number of
pencils in each bag before Tyler added 3 more.
Answer:
Answer: x=20-3
Step-by-step explanation:
Jimmy invests $2,936 in a retirement account with a fixed annual interest rate of 5% compounded continuously. What will the account balance be after 18 years?
A) $6,599.86
C) $6,534.19
B) $7,221.39
D) $6,869.20
Answer:
B) $7,221.39
Step-by-step explanation:
Given data
Principal=$2,936
Rate=5%
n=12
Time = 18 years
The expression for compound interest is
A=P(1+r/n)^nt
substitute
A= 2936(1+0.05/12)^12*18
A= 2936(1+0.00416)^12*18
A= 2936(1.00416)^12*18
A= 2936(1.00416)^216
A= 2936*2.45149
A=7197.57464
Hence the approximate amount is B) $7,221.39
