Answers
Answer:
4√2 cm
Step-by-step explanation:
ABCD is a square.
Each side measures 8 cm.
So,
AB = BC = CD = AD = 8 cm
P, Q, R, and S are mid - points of ABCD.
P is the mid - point of AB.
So,
AP = PB
AP + PB = AB
AP + AP = AB
2AP = 8
AP = 8 / 2
AP = 4 cm
S id the mid - point of AD.
So,
DS = SA
DS + SA = AD
SA + SA = AD
2SA = 8
SA = 8 / 2
SA = 4 cm
Property of a square : The angle between two sides is 90°.
So,
The angle between side SA and AP is 90°.
So,
SA, AP and SP forms a right angled triangles.
By Pythagoras theorem,
( SP)² = ( SA )² + ( AP )²
( SP )² = 4² + 4²
= 16 + 16
( SP )² = 32
SP = √32
SP = 4√2 cm
Since PQRS is also a square.
In square, all sides are equal.
So,
PQ = QR = RS = SP
Since SP = 4√2 cm
Hence,
PQ = 4√2 cm
Therefore,
the length of PQ is 4√2 cm.
Answer: 5.7
Step-by-step explanation:
Midpoint means the middle of line. So to find the middle of the line I just need to divide the line by 2.
So the midpoint of AB is:
8/2=4 = BP
Since Q is also a midpoint so BQ is equal to 4.
We know BP=BQ=4. Looking at the diagram we can tell PBQ is a triangle.
The hypotenuse of the triangle is PQ.
Pythagoras's theorem helps us to find the hypotenuse. So we just plug in the values to find PQ.
P's Theorem : a²+b²=c²
basically in the case of this question it means:
(BP)²+(BQ)²=(PQ)²
now we just subsiture the values and solve for PQ:
4²+4²=(PQ)²
16+16=(PQ)²
32=(PQ)²
PQ=5.65...
= 5.7(rounded to one decimal place)
Related Questions
Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack
Answers
Answer:
8 pencils
Step-by-step explanation:
if 2 red pencils are 25% of his number of pencils then multiply 2 by 4
because 25x4=100
so 2x4=8
Roman has 8 pencils in his bag
2x4= 8
Roman has 8 pencils
Find the center and radius of the circle x^2+y^2-10x-12y+45=0.
Answers
Answer:
The center is (5, -6) with a radius of r
Step-by-step explanation:
First put the equation in Standard Form for a circle:
(x + a)² + (y + b)² = r²
Now, Group the term
x² + y² - 10x - 12y + 45 = 0
x² - 10x + y² - 12y = - 45
Then, The x and y terms must be perfect squares
x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36
add constant both sides we get,
x² - 10x + 25 + y² - 12y + 36 = 16
Now, Simplify
(x - 5)² + (y + 6)² = 16
√(x - 5)² + (y + 6)² = √16
x - 5 + y + 6 = 4
Here, (a,b) = (5, -6) and r² = 16, with r = 4
Thus, The center is (5, -6) with a radius of r
-TheUnknownScientist 72
Help??
Trying to find g
1/3(g-3)=3
Answers
Answer:
g = 12
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction
g - 3 = 9 ( add 3 to both sides )
g = 12
hey hey u guyss 60 pointsss
-6.1(-4.1) +6.8=
btw hurry im timed plss :)
Answers
Answer:
31.81
Step-by-step explanation:
-6.1 * -4.1 = 25.01
+ 6.8 = 31.81
Answer:
31.8
Step-by-step explanation:
I will assume that
"-6.1(-4.1) +6.8="
means (-6.1)*(-4.1) +6.8=
(-6.1)*(-4.1) = 25
25 + 6.8 = 31.8
If f(x) = x2 + 3x and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).
Answers
Answer:
(f ∘ g)(x) = x²+7x+10
(g ∘ f)(x) = x²+3x+2
Step-by-step explanation:
(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10
(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2
Make sure to review composite functions
Bro this is so hard
Answers
Answer:
c = 50 degrees and d = 30 degrees
Answer:
C = 80 degrees
D = 30 degrees
Step-by-step explanation:
To find the angle of C you have to add the other angles of that triangle. The total angle of a triangle is 180 degrees.
50 + 30 = 80
Subtracted 80 from 180 to get the other missing angle next to angle c. That is 100. A straight line is 180 degrees so you get 80 degrees for angle C.
To find the angle of D you add angle C, which is 80, to the 100 degree angle and get 180. The total degrees for a four-sided shape is 360 degrees. Then you try to figure out the other missing angle next to the 30-degree angle. A straight line is 180 degrees so subtract 30 from 180 to get the value of the missing angle.
180 - 30 = 150
Add the 180 degrees from earlier to 150 and you get 330. Subtract 330 from 360 and you get 30 degrees. Therefore the angle for d is 30 degrees.
What are the advantages of using a table to find equivalent ratios?
What are the advantages of using a graph to find equivalent ratios?
Explain why you prefer a table or a graph to compare equivalent ratios.
Answers
The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.
The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.
The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.
The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.
The use of table is better because it minimizes error from tracing the values from the graph.
Learn more about equivalent ratio here: https://brainly.com/question/13513438
I really need help pls!!!
Answers
Answer:
Option 1
Step-by-step explanation:
To find the slope divide Mass (y) by Volume (x)
What is 68 million squared.
Answers
Answer:
4.624e+15
Step-by-step explanation:
I think this is the correct answer may be wrong
Answer:
4.761e+15
Step-by-step explanation:
PLEASE I AM IN DESPERATE NEED OF HELP
Answers
If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1
Answers
Answer:
F(x) +1 = 3x+3
Step-by-step explanation:
F(x)+1= 3x+3
Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
—help and it comes with a picture
Answers
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50
A line passes through the point (9,5) and
has a slope of 1/3 Write an equation of the line in
slope-intercept form
Answers
Answer:
Answer: y=1/3x-6
2² + 2[2(3+1)(3-2)-1]
Answers
Answer:
18
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
Answers
If 1/4 < x/7 < 1/3, then
7/4 < x < 7/3
1.75 < x < 2.333…
so that x = 2.
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answers
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
What is an expression that is equivalent to 4 (2x-3) -3x.
Answers
Answer:
5x-12
Step-by-step explanation:
4(2x-3)-3x = 8x-12-3x=5x-12
Answer:
5x-12
Step-by-step explanation:
can someone help me with this
Answers
Answer:
Step-by-step explanation:
A squid is 42 3/4 feet below rhe surfaceof the ocean. A seagull is 12 1/2 feet above the surface. What is the distance between the squid and the seagull?
Answers
Answer: 55 1/4
Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.
42 3/4 + 12 1/2 = 55 1/4
simplify expression
3+2+y+y
Answers
Answer:
2y + 5
Step-by-step explanation:
I hope this helps!
Hey there!
3 + 2 + y + y
= 3 + 2 + 1y + 1y
COMBINE the LIKE TERMS
= (3 + 2) + (1y + 1y)
= 5 + 2y
= 2y + 5
Therefore, your answer is: 2y + 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A. Gregorio has to make 84 cookies for scout
camp. How many dozen cookies is that?
Answers
Answer:
7 dozen cookies
Step-by-step explanation:
12 cookies are in a dozen, 84 / 2
A ____ has a positive charge.
Answers
Answer:
Proton
Step-by-step explanation:
The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.
Hope this helps you luv!
3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -
Answers
Answer:
They are not diffrent at all. may look diffrent from the question but lets look a little closer!
Step-by-step explanation:
2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent. To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.
the square roots of 8 and 2
Answers
Answer:
4.82842712475
Step-by-step explanation:
hope you get it
It is 4.82842712475
I used a calculator
5i/x-5i what is the simplest form?
Answers
51/x - 5i
this is the answerrrr
Allison buys some cloud storage for her files. On average, she adds files that take up 2 megabytes each day. After 64 days, she has 96 megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after xecks days.
Answers
Answer:
the answer would be a because i had this exact question on ed2020, i think i remember it being A.
Step-by-step explanation:
Complete the sentence.
Forty-five percent of 120 is
.
Answers
Answer:
54
Step-by-step explanation:
45% * 120 = 54
if -5 is less than 0 what is the opposite of -5?
A. 0
B. 8
C. 5
D. 25
Answers
Answer: opposite of -5 is positive 5 so it’s choice C
Answer:
it’s choice C
Step-by-step explanation: hope this helps bestie
Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.
Answers
Answer:
12
Step-by-step explanation:
3 square root of 2 equals 12
You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are applied to stop it?
Answers
69,420 ------------------------------------------------------------------------