Sarah draws a rectangle with an area of 4,875 square units and a length of 65 units. What is the width of the rectangle? 70 units 75 units 85 units 95 units
One of the parallel sides of a trapezium is 5cm longer than the other. If the
prependicular
distance between them
is 9cm and area is 126cm
2
, find the length
of the parallel sides.
Anslee is designing a doll house shaped like a rectangular prism. The doll house is 8 feet long, 2 feet wide and 3 feet high. What is the surface area of the doll house?
urgent help needed!
write y = (-5/8)x + 3 in standard form using integers.
a. 5x + 8y = -24
b. 5x + 8y = 24
c. 5x - 8y = 24
d. -5x + 8y = 24
To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:
8(y) = 8[(-5/8)x + 3]
8y = -5x + 24
Transpose the variable x to the other side:
5x + 8y = 24
In Washington, D.C., Constitution Ave. meets Pennsylvania Ave. at a 25° angle. What is the measure of the complementary angle to the angle formed by these two avenues?
If ΔABC≅ΔMNO, then what corresponding angle is congruent to angle N? (Enter your answer using the angle letter only.)
Answer: [tex]\angle{B}[/tex]
Step-by-step explanation:
We know that if two triangles are congruent , then their corresponding sides and angles are congruent (by CPCTC).
[CPCTC is the acronym use for the property of congruent triangles that says that corresponding parts of two congruent triangles are congruent]
Given : ΔABC ≅ ΔMNO
Then , [tex]\angle{A}[/tex] corresponds [tex]\angle{M}[/tex] [First letter]
[tex]\angle{B}[/tex] corresponds [tex]\angle{N}[/tex] [Middle letter]
[tex]\angle{C[/tex] corresponds [tex]\angle{O}[/tex] [last letter]
Then , by CPCTC, we have
[tex]\angle{B}\cong\angle{N}[/tex]
Hence, angle B is the corresponding angle which is congruent to angle N.
[100 POINTS]
Question 1)
The graph for the equation y = 2x - 2 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2(x+1)
B) y = 2(x-1)
C) y = 2(x-2)
D) y = -2(x+1)
Question 2)
Solve the inequality and then graph its solution.
1/5(x-2) > -1
a) x > -7
b) x < -3
c) x > -3
d) x > 3
The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.
The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3
PLEASE HELP!!???!!!?
Sarah is shopping for groceries at the local supermarket. She paid for her groceries using a $100 bill recently issued by the US government. What type of money did Sarah use for this transaction? commodity money fiat money digital money representative money
The explicit rule for a sequence is
an=48−11n .
What is the recursive rule for the sequence?
an=an−1+37,a1=11
an=an−1−11,a1=37
an=an+1−11,a1=37
an=an−1−37,a1=11
Math help!!!!!!!!!!!!!!!!!!!!!!!!!!!
there are four brands of smartphones that are most popular in the united states . the number of people in the united states that have each brand is given.
brand A; 4.48x104;
brand b : 3.84 x107; brand c : 6.4x10^6; brand d: 1.50 x107
what is the order of these brands from most to least popular?
For this case we must write the numbers from highest to lowest.
We observe that the numbers are written in exponential notation.
Therefore, by rewriting we have:
Brand A:
[tex] 4.48 * 10 ^ 4 = 44,800
[/tex]
Brand B:
[tex] 3.84 * 10 ^ 7 = 38,400,000
[/tex]
Brand C:
[tex] 6.4 * 10 ^ 6 = 6,400,000
[/tex]
Brand D:
[tex] 1.50 * 10 ^ 7 = 15,000,000
[/tex]
Ordering from highest to lowest we have:
[tex] 3.84 * 10 ^ 7 = 38,400,000
1.50 * 10 ^ 7 = 15,000,000
6.4 * 10 ^ 6 = 6,400,000
4.48 * 10 ^ 4 = 44,800
[/tex]
Answer:
The order of these brands from most to least popular is:
Brand B
Brand D
Brand C
Brand A
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = 2x + 7; (3, 11)
I'm so bad at math please help!??
Solve for w.
1/7 = -3/2w -4/5 Simplify your answer as much as possible.
Answer:
7 on k-12
Step-by-step explanation:
7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.
16. Which of the following are the measures of a right isosceles triangle?
a. 36°, 60°, 90°
b. 40°, 40°, 90°
c. 60°, 60°, 60°
d. 45°, 90°, 45°
17. Of the following triangles, which one is impossible to construct?
a. acute scalene
b. acute equilateral
c. obtuse scalene
d. obtuse equilateral
First combined weight of three packages that weigh 5 1/2 pounds 4 7/16 pounds and 3 3/8 pounds
Which of the following sets are closed under multiplication? Select all that apply. integers irrational numbers whole numbers polynomials
integers, polynomials and whole numbers
The graph shows the path of a rider on a ride at an amusement park.
What does the x-coordinate of the vertex represent?
The rider’s minimum height above the ground is 25 ft.
The rider travels a total distance of 25 ft.
The difference between the rider’s maximum and minimum’s height above the ground is 25 ft.
The rider is closest to the ground when he is 25 ft from the left side of the ride.
https://static.k12.com/nextgen_media/assets/8090397-NG_AL1_O_07_U12_Quiz_08.png
Answer:
D. The rider is closest to the ground when he is 25 ft from the left side of the ride.
Step-by-step explanation:
The vertex of x-coordinate represents the distance from the from the origin of the pendulum, which is the closest to the ground when he is 25 ft away from 0.
Hope this will helpful.
Thank you.
David has a credit card with an APR of 13.59% and a 30-day billing cycle. The table below details David’s transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 1,998.11 Beginning balance 11/5 43.86 Purchase 11/16 225.00 Payment 11/23 61.21 Purchase Between the previous balance method and the daily balance method, which method of calculating David’s November finance charge will result in a greater finance charge, and how much greater will it be?
If 88% of milk is water, what percentage do the other components equal
The correct answer is that the other components equal 12% of the milk.
To solve this problem, one must understand that the total percentage of all components in milk must add up to 100%. Given that 88% of milk is water, the remaining percentage will be the sum of all other components in the milk.
To find the percentage of the other components, subtract the percentage of water from the total percentage:
Total percentage of milk = 100%
Percentage of water in milk = 88%
Percentage of other components = Total percentage of milk - Percentage of water in milk
Percentage of other components = 100% - 88%
Percentage of other components = 12%
Therefore, the other components in the milk make up 12% of the milk.
Complete question:- If 88% of milk is water, what percent do the other components equal?
Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the difference between the larger of x1 and x2 and the smaller of y1 and y2.
To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.
Explanation:To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.
Here is how it would look like in a programming context:
int larger = Math.max(x1, x2);
int smaller = Math.min(y1, y2);
int difference = larger - smaller;
where 'difference' is the answer you are looking for.
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Which of the following is the solution to the equation 25^(z + 2) = 125?
Answer:
z = -0.5
Step-by-step explanation:
Using exponent rule:
[tex]x^a = x^b[/tex] then a = b
Given the equation:
[tex]25^{z+2} = 125[/tex]
We can write 25 and 125 as:
[tex]25 = 5 \cdot 5 = 5^2[/tex]
[tex]125 = 5 \cdot 5 \cdot 5 = 5^3[/tex]
then;
[tex]5^{2(z+2)}= 5^3[/tex]
Apply the rule:
[tex]2(z+2) = 3[/tex]
using distributive property [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]
[tex]2z+4 = 3[/tex]
Subtract 4 from both sides we have;
[tex]2z = -1[/tex]
Divide both sides by 2 we have;
z = -0.5
Therefore, the solution for the given equation is, z = -0.5
What is the median for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8
5|0 = 50 years old
70
71
72
74
Answer:
71
Step-by-step explanation:
Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.
For this case we must simplify the following expression:
[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}[/tex]
Simplifying the numerator, dividing all the terms by 4, we have:
[tex]x ^ 2-8x + 12[/tex]
We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2
[tex]-6-2 = -8\\-6 * -2 = 12[/tex]
So, we have to:
[tex]x ^ 2-8x + 12 = (x-6) (x-2)[/tex]
Simplifying the denominator:
We rewrite -17x as -18x + x:
[tex]3x ^ 2-18x + x-6[/tex]
We factor the highest common denominator of each group:
[tex]3x (x-6) +1 (x-6)[/tex]
We factor the polynomial by factoring the highest common denominator (x-6):
[tex](x-6) (3x + 1)[/tex]
So, we have to:
[tex]3x ^ 2-17x-6 = (x-6) (3x + 1)[/tex]
Substituting in the original expression we have:
[tex]\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}[/tex]
ANswer:
[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}[/tex]
Answer for number 5?
The population of a town is 6500 and is increasing at a rate of 4% per year.at this rate, approximately what will the towns population be in 4 years
To find the town's population in 4 years with an initial population of 6500 and a 4% annual growth rate, we use the exponential growth formula, resulting in an estimated population of approximately 7609.
The population of a town is 6500 and is increasing at a rate of 4% per year. To calculate the town's population in 4 years, we will use the formula for exponential growth:
P(t) = P0(1 + r)^t
Where:
P(t) is the future population
P0 is the initial population
r is the growth rate (as a decimal)
t is the number of years
Step-by-step calculation:
Convert the growth rate from a percentage to a decimal: r = 4% = 0.04
Use the formula with t = 4 years, P0 = 6500, and r = 0.04:
P(4) = 6500(1 + 0.04)⁴
Calculate P(4) = 6500 * 1.04⁴
Approximate the future population after 4 years.
By performing the calculation, the town's population in 4 years will be approximately 7609.
Singing "row, row, row your boat," in a round (each group starting at a different time) would be considered which texture? music appreciation
How to find side of triangle if two sides and one angle is known?
Solve the following inequality. 2x < 8
The required solution of the given inequality 2x < 8 is x < 4.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
Given:
The given inequality is
2x < 8
According to given question we have
Write inequality
2x < 8
Divide both sides by 2 we get,
x < 4
Therefore, the required solution of the given inequality 2x < 8 is x < 4.
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Hint: Omars equation doesn't work!
Identify his error and correct it by showing the steps Omar should have taken and determine the correct value of x.