The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
HELP ME YOULL GET BRAINLYIEST
Answer:
c
i think
Step-by-step explanation:
The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
For more such questions on price
https://brainly.com/question/28420607
#SPJ8
What is the volume of the rectangular prism?
Answer:
To find the volume of a rectangular prism, multiply the length, width and height. The unit for measuring the volume of a rectangular prism is cubic units i.e. cm3, mm3, in3, m3 etc.
Step-by-step explanation:
The formula for the volume of a rectangular prism is given as:
Volume of a rectangular prism = (length x width x height) cubic units.
V = (l x w x h) cubic units
In a rectangular prism, the product of the length and the width is known as the base area. Therefore, the volume of a rectangular prism formula can also be represented as;
Volume of a rectangular prism = Base area x height
Let’s try the formula by working out a few example problems.
Example 1
The length, width and height of a rectangular prism is given as 15 cm, 10 cm and 5 cm respectively. What is the volume of the prism?
Solution
Given, length = 15 cm,
width = 10 cm,
height = 5 cm.
By the volume of a rectangular prism, we have
Volume = l x w x h
= (15 x 10 x 5) cm3
= 750 cm3.
Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
Pl help it’s for a grade
Answer:
A
Step-by-step explanation:
Answer:
23 m, South
Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south
9feet to3 3/8inches ratio
Answer:
32 : 1
Step-by-step explanation:
dimensions of the parts of the ratio must be in the same units
convert 9 feet to inches
1 foot = 12 inches
then
9 feet = 9 × 12 = 108 inches
then ratio
9 feet : 3 \(\frac{3}{8}\) inches
= 108 inches : 3 \(\frac{3}{8}\) inches ( change mixed number to improper fraction )
= 108 : \(\frac{27}{8}\) ( multiply both parts by 8 to clear the fraction )
= 864 : 27 ( divide both parts by 27 )
= 32 : 1
PLSSS HELP NOW!!!
what is the period of the sinusoidal function? enter your answer in the box.
Step-by-step explanation:
4
Ws
The measure of an angle is 1°. Find the measure of the complement.
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
For more such questions on complement
https://brainly.com/question/16281260
#SPJ8
The function f(x) is graphed below. What is true about the graph on the interval from x = -∞ to x = a?
If 3 boxes of mints cost $16.80, how much do 5 boxes of mints cost?
Which previewing strategy would work best for a topic you have heard of before?
a.
using prior knowledge
c.
skim the introduction and conclusion
b.
identify text structure
d.
none of the above
Answer:
A- using prior knowledge
Step-by-step explanation:
If the center of the circle is Point A, what is the difference between the circumference of the circle and the perimeter of the triangle, to the nearest tenth of a unit?
A 20.6 units
B 28.2 units
C 80.7 units
D 95.5 units
The difference between the circumference of the circle and the perimeter of the triangle is 28.2 units. (Option B)
To find the length of each side of triangle, the distance is calculated between the vertices using the formula:
d = √((x2 – x1)^2 + (y2 – y1)^2)
Hence,
AB =√((-4 – 0)^2 + (9 – 0)^2) = 9.85 units
AC = √((9 – 0)^2 + (4 – 0)^2) = 9.85 units
BC = √((9 – (-4))^2 + (4 –9)^2) = 13.93 units
Hence, the perimeter of the triangle = 9.85 + 9.85 + 13.93 = 33.6 units
As AB and AC is the radius of the circle, the circumference of the circle is:
C = 2πr = 2π(9.85) = 61.8 units.
Hence, the difference between the circumference of the circle and the perimeter of the triangle = 61.8 – 33.6 = 28.2 units.
Learn more about Circumference:
https://brainly.com/question/20489969
#SPJ4
What is the expanded form of 894?
Answer:
Hope this helps! <3
( Pic Below )
Answer:
800+90+4
Step-by-step explanation:
800+90=890 and 890+4=894
HOPE THIS HELPS
The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?
Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
For more such question on angles. visit :
https://brainly.com/question/25770607
#SPJ8
508x8 = (500+ 8) × 8
(500x)+(8×______)
=. +64
=
508
Step-by-step explanation:
What is the range??????
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
Range of given expression is ~
\(6 \leqslant y \leqslant 27\)Step-by-step explanation:
range is the difference between highest quantity with the lowest quantity.
expression range
6≤y≤27.
hope this helps you.
Solve for x:
600
x + 124
Just enter the number.
2. A rectangle is graphed on a coordinate grid. Which transformation
will result in a rectangle that is NOT congruent to the original
rectangle?
180° anticlockwise rotation will turn the rectangle into one that is NOT consistent with the original rectangle.
The correct option is B.
What does a congruent rectangle mean?Two figures are referred to as congruent if their size and shape are the same. For instance, because they are the same size and shape, the rectangles ABCD and PQRS are congruent rectangles.
What do congruent shapes entail?Identical shapes are referred to as congruent shapes. The angles and sides that correspond to each other are the same. To accomplish this, we must examine each shape's sides and angles. Two congruent shapes will perfectly fit on top of each other.
To know more about congruent rectangle visit:
https://brainly.com/question/26044249
#SPJ1
I understand that the question you are looking for is:
A rectangle is graphed on a coordinate grid. Which transformation will result in a rectangle that is NOT congruent to the original rectangle?
A. A dilation by a scale factor of
B. rotation of 180° counterclockwise
C. translation 90° units to the right
D. reflection across the x-axis
answer : A rotation of 180 digress counterclockwise
You want to take out a $219,000 mortgage (home loan). The interest rate on the loan is 4.5%, and the loan is for 30 years. Your monthly payments are $1,109.64. How much will still be owed after making payments for 15 years? Round your answer to the nearest dollar.
After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.
To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:
Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)
where:
P = the initial loan amount (in this case, $219,000)
r = the monthly interest rate (which is the annual interest rate divided by 12)
n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)
b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)
First, we need to calculate the monthly interest rate:
r = 4.5% / 12 = 0.00375 = 0.375%
Next, we can plug in the values to get:
Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)
= $145052.36
To learn more about loan calculations;
https://brainly.com/question/28244942
#SPJ1
Ms. Lee ordered 7 1/2 feet of copper
tubing for her plumbing work. How
much is this in yards, feet, and
inches?
Answer:
7.5FT=2.5YD=7.5FT=90IN
Step-by-step explanation:
The revenue for Company A was $239 million, compared to $467 million for Company B. The revenue for Company A was ____% of the revenue for Company B. (Round to the nearest tenth as needed.)
Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B.
What is the percentage?It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.
It is given that, the revenue for Company A was $239 million, compared to $467 million for Company B.
We have to find the % by which A was revenue for Company B.
Suppose x% by which A was revenue for Company B.
⇒$467 of x =$239
⇒467×x=239
⇒x=239/467
⇒x=0.5177 ≈ 0.52
⇒x%=52%
Thus, the revenue for Company A was equal to 52% of that for Company B.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
Identify the binomial that is a factor of the polynomial.
Given:
\(f(x)=2x^3+12x^2-26x-84\)To find the binomial that is a factor of the polynomial:
By factor theorem,
If f(a) = 0, then the binomial (x - a) is a factor of polynomial f(x).
So, let us check the options one by one.
A) Put x = -7 in the given polynomial.
\(\begin{gathered} f(-7)=2(-7)^3+12(-7)^2-26(-7)-84 \\ =2(-343)+12(49)+182-84 \\ =0 \end{gathered}\)Since, f(-7)=0
Therefore, (x+7) is a factor.
Thus, the correct option is A.
Mofor has homework assignments in five subjects. He only has time to do two of
them.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
For more such questions on homework
https://brainly.com/question/28521601
#SPJ8
Sket the right triangle and find the length of decide not given it necessari approximate the length to the nearest thousand
Since we are dealing with a right triangle, we can use the Pythagorean theorem, shown below
\(\begin{gathered} H^2=L^2_1+L^2_2 \\ H\to\text{ hypotenuse} \\ L_1,L_2\to\text{ legs} \end{gathered}\)In our case,
\(\begin{gathered} H=15,L_1=3 \\ \Rightarrow L^2_2=15^2-3^2=216 \\ \Rightarrow L_2=\sqrt[]{216}=14.6969\ldots\approx14.697 \\ \Rightarrow L_2=14.697 \end{gathered}\)The answer is 14.697
Please help quick it’s for 15 points
Answer:
3/4 % of year is 8 , 2 feet 1 inch
Step-by-step explanation:
A collector as a set of 224 coins. Some are valued at 20 cents and others at 25 cents. If the collector has 74 25-cent coins, then what is the total value of the collection
Answer:
48.50 dollars.
Step-by-step explanation:
The collector has a total of 224 coins but 74 of them are 25 cents coins. So, in order to find the number of 20-cent coins we're going to subtract the number of 25-cent coins from the total.
Number of 20-cent coins = 224 - 74 = 150.
Thus, the collector has 150 20-cent coins and 74 25-cent coins for a total of 224 coins.
Now, to know the total value of the collection we need to multiply the value of the coins by the number of coins there are of this value (we are going to do it with the 20-cent and the 25-cent coins) and then sum up our results.
Total value = 74(25) + 150 (20) = 1850 + 3000 = 4850 cents.
So the total value is 4850 cents, we know that each dollar has 100 cents so, to express this number in dollars we are going to divide it by 100 and thus we have that the total value of the collection is 48.50 dollars.
What are the coordinates of the point on a directed line segment from (-8,8) to (-2,-10) that partitions the segment into a ratio of 1 to 2
\(\textit{internal division of a line segment using ratios} \\\\\\ A(-8,8)\qquad B(-2,-10)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-8,8)=1(-2,-10)\)
\((\stackrel{x}{-16}~~,~~ \stackrel{y}{16})=(\stackrel{x}{-2}~~,~~ \stackrel{y}{-10}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-16 -2}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{16 -10}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -18 }{ 3 }~~,~~\cfrac{ 6}{ 3 } \right)\implies {\Large \begin{array}{llll} C=(-6~~,~~2) \end{array}}\)