Given:
PQRS is a rectangle.
X is the midpoint of SR.
To find:
The measure of QX.
Solution:
It is given that X is the midpoint of SR. Draw a perpendicular on PQ from point X as shown in the below figure.
Now, the line XY divides the rectangle PQRS into two equal squares of sides 4 units.
The diagonal of a square is:
[tex]d=a\sqrt{2}[/tex]
Where, a is the side length of the square.
QX is the diagonal of the square whose side length is 4 units. So, the length of QX is:
[tex]d=4\sqrt{2}[/tex]
[tex]d=5.656854[/tex]
[tex]d\approx 5.7[/tex]
Therefore, the measure of segment QX is about 5.7 units.
Express 130 and 325 as the sum of two squares in two different ways.
Answer:
3^2 + 11^2 = 130
7^2 + 9^2 = 130
---
1^2 + 18^2 = 325
6^2 + 17^2 = 325
Step-by-step explanation:
We want to express 130 and 325 as the sum of two squares in two different ways.
Then, we want to find two integers a and b such that:
a^2 + b^2 = 130
There is not an analytical way to do this, we just need to try with different integers.
Let's start with 130.
So we start by defining a as a really small integer, for example 1, and try to find b.
1^2 + b^2 = 130
b^2 = 130 - 1
b^2 = √129 = 11.3
This is not an integer, so let's try with another value of a.
a = 2
2^2 + b^2 = 130
4 + b^2 = 130
b^2 = 130 - 4
b = √126 = 11.2
This can be discarded again.
Now let's try with a = 3
3^2 + b^2 = 130
9 + b^2 = 130
b^2 = 130 - 9
b = √121 = 11
Nice.
So we can express 130 as:
3^2 + 11^2 = 130
Now let's find another pair.
In the same way, we can see that for a = 7 we get:
7^2 + b^2 = 130
42 + b^2 = 130
b^2 = 130 - 49
b = √81 = 9
Then we can write:
7^2 + 9^2 = 130
Now for 325:
With the same reasoning than before, we want to find two integers such that:
a^2 + b^2 = 325
Then we start evaluating a by the smallest values:
a = 1
1^2 + b^2 = 325
b^2 = 325 - 1 = 324
b = √324 = 18
Then we can write 325 as:
1^2 + 18^2 = 325
Now to find the next pair we need to keep testing values for a, we will get for a = 6:
6^2 + b^2 = 325
36 + b^2 = 325
b^2 = 325 - 36 = 289
b = √289 = 17
Then we can write:
6^2 + 17^2 = 325.
What is the value of x? Round to the nearest tenth
Answer:
x = 8
Hope this helps!
PLEASE ANSWER I NEED HELP!!!
Charlotte needs 16 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 3 1/2 yards and another piece of fabric that is 6 3/4 yards. How many more yards of fabric does Charlotte need to make the quilt?
YOUR ANSWER BETTER NOT HAVE A LINK OR YOU ARENT GETTING POINTS!
Answer:
6 1/4
Step-by-step explanation:
Add up the fabric that she has
3 1/2 + 6 3/4
Get a common denominator
3 2/4 + 6 3/4
9 5/4
9 4/4 + 1/4
10 1/4
Subtract this from the fabric that she needs
16 1/2 - 10 1/4
Get a common denominator
16 2/4 - 10 1/4
6 1/4
Find the slope of the line graphed below.
Given:
The graph of a line.
To find:
The slope of the graphed line.
Solution:
From the given graph it is clear that the line passes through the points (-2,2) and (2,5). So, the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5-2}{2-(-2)}[/tex]
[tex]m=\dfrac{3}{2+2}[/tex]
[tex]m=\dfrac{3}{4}[/tex]
Therefore, the slope of the given graphed line is [tex]m=\dfrac{3}{4}[/tex].
jillian buys 4 erasers that each cost $0.35.She makes the number line below to help her find the total cost. What is the total cost of the erasers?
Answer:
$ 1.40
Step-by-step explanation:
The total cost of the erasers is $1.40. You can come to this conclusion by multiplying 4 times 0.35, or using the number line by counting .35 4 times.
A reindeer can fly at a speed of 40 miles an hour. How far will fly in 2 1/2 hours
Answer:
100 miles
Step-by-step explanation:
Hope this helps
Vince starts with 0 then adds the number 3 times..Jen starts with 1 then multiples the number 10 three time
Answer:
Where are the numbers?
Step-by-step explanation:
????????????????????????????
Answer:
there are no numbers
Step-by-step
!!!!!!!!!!!!!!!!!!!!!!!!!!
what is the formula for finding area in a triangle
Answer:
Base times Height divided by 2 or 1/2b*h
Step-by-step explanation:
Answer:
multiply the base times the height and then divide your answer by two or A=1/2bh were b=base and h=height
Step-by-step explanation:
Help me with this easy math question, please. I don't understand it, but it's said to be simple. Please and thank you in advance.
Answer:
$850.50
Step-by-step explanation:
Once you find the square footage of the triangle, that being 486 sq ft, you multiply by 1.75, the cost of the deck per sq ft, you get $850.50
I need help please!!!
Answer:
D
Step-by-step explanation:
A translation 4 units to the right and 6 units down means that all of the x values increase by 4 and all of the y values decrease by 6.
Adding 4 to all of the x values and subtracting 6 from all of the y values gives us the coordinates:
A' (-3, 0), B' (8, 3), C' (2, -9)
help Plz
If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest
degree?
8 cm
Answer:
Step-by-step explanation:
Help Plz
If the slice of pizza below has an area of 18.86 cm?, what is the measure of the central angle to the nearest
degree?
8 cm
PLEASE HELP I WILL GIVE BRAINIEST. What is the Median?
Answer:
DA MIDDLE LINE. 6
Which is a diagonal through the interior of the cube?
AH
BE
CH
FG
2[32-(4-1)³] answer.
Answer:
3^5/3
log(1/2)
log2(16)
Step-by-step explanation:
u.
3. The following data was recorded from the heights of planted flowers in inches: 12, 10, 8.5, 5.5, 10. Calculate the Mean Absolute Deviation (MAD) for the heights of the flowers.
A. 10
B. 9.2
C. 1.76
D. 8.8
Answer:
1.76
Step-by-step explanation:
i used a mean absolute deviation calculator
Write 42/12 as a mixed number.
Give your answer in its simplest form
Answer:
3 1/2
Step-by-step explanation:
Hope this helped :)
. Complete each equation with a number so that the equation has the stated solution(s). a) x^2+7=x^2+_____; no solution
Answer: other than 7
Step-by-step explanation:
Given
Equation is [tex]x^2+7=x^2+?[/tex]
For an equation to have no solution, the missing number can be any number other than 7
because if we put 7 then it justifies the equation i.e. [tex]7=7[/tex] while on the other hand for a number other than 7, it does not justify the equation.
Find the value of x. *
(x + 15)
106
(x-10)
(2x - 35)°
Answer:
m gc
Step-by-step explanation:
Which equation represents the slope-intercept form of the line below?
Answer: ( D )
Step-by-step explanation:
They are both positive because in the graph it shows that they are not intercepting in in a negative sign.
If f(x)=3x^2-4x+9, find the f(2)
Answer:
13
Step-by-step explanation:
3(2)(2) -4(2)+9
12 -8 +9= 13
A rectangular ballroom is being carpeted. The room measures 30 feet by 25 feet. If the carpet costs $3.00 per square foot, then what is the cost of the carpet?
Answer:
$2250
Step-by-step explanation:
30 x 25 = 750 -> area
750 x 3= 2250
Divide 1000 into two parts such that one part is a multiple of 47 and the other is a multiple of 19. Don't give useless answers or copy paste any links, I am not in the mood today or else I will report you
Answer:
The required division is 658 and 342.
Step-by-step explanation:
Let the parts be x and y.
47x + 19y = 1000
let try 2digit number for x and y by inspection 14 and 19 best fit.
47*14 + 18*19 = 1000
658 + 342 = 1000
I need this question nowwwww
(-6, -7), (0, 0)
The distance between the two points is
units.
Answer: [tex]\sqrt{85}[/tex] or 9.2
Step-by-step explanation:
In an ecosystem some animals get energy by eating plants an leek can eat 20 pounds of plants each day write and evaluate an expression to find how many pounds of plants a herd of 18 elk can eat in one week.
Answer:2520 pounds can be eaten by a herd of 18 elk in one week.
Step-by-step explanation:
Given: A elk an eat 20 pounds of plants in one day .
Now , Quantity of plants eaten by a herd of elk = (Quantity of plants eaten per day) x (Number of elks ) x (Number of days)
So, the quantity of plants a herd of 18 elk can eat in one week = 20 x 18 x 7 [1 week = 7 days]
= 2520 pounds
Hence, 2520 pounds can be eaten by a herd of 18 elk in one week.
What is the value of the expression as a Fraction
fraction 7/10
percentage
Answer:
70%
Step-by-step explanation:
7/10 = 0.70 x100 = 70%
What is the length of the hypotenuse triangle below?
Answer:
A (25)
Step-by-step explanation:
Pythagorean Theorm
[tex]7^{2} +24^{2} =x^{2}[/tex]
Please vote brainliest!!!
four billion four hundred ninety eight million two hundred fifty two thousand nine hundred kilometers in number from
Answer:
4,498,252,900 km
Step-by-step explanation:
LOOKS EASY !! NO FILES/LINK THX