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
hlo do this question plz
out of 9o civil servants 65 were working in the office ,50 were working in the field and 35 were working in both the premises .
a)How many civil servants were absent ?
B)How many civil servants were working in the field only?
Answers
Answer:
(a): 10 civil servants who were absent.
(b): 15 civil servants are in field only.
Step-by-step explanation:
Let;
Civil servants in office be oCivil servants in field be f[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]
Question (a):
Let the absentees be x
[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]
There are 10 absentees.
Question (b):
Servants in field only;
[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]
I AM BEGGING YALL TO HELP ME BRAINLYEST
Answers
Answer:
56
Step-by-step explanation:
PEMDAS
4+372-320
376-320
56
4 + 372 - 320
376 - 320
56
What is the slope of the line?
I really need help
Answers
Slope
m=(2-0)/1+2m=2/3Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.
6(1/2w -3/4)
Answers
This is the answer.
Answer:
Y= 3w-4.5
Step-by-step explanation:
What is the volume of a cube that has a height of 10 inches?
10 inches
(3)
1,000 cubic
inches
40 cubic
inches
100 cubic
inches
600 cubic
inches
Daha
Answers
Step-by-step explanation:
since all sides of a cube have the same length (same principle as e.g. for a square), this means also the length and width are 10 in long.
the volume is therefore
10 × 10 × 10 = 1000 in³
I NEED ANSWER ASAPPPP
Answers
boy-7/12
girl-5/12...................
Ms. Lopez wants to buy an ipod. The ticket price shows $225. But she only brought $146.50 to the store. What percent discount would she need so that the ipod sells at the exact amount she has in her pocket?
Answers
Answer: 65.11%
Step-by-step explanation:
You can answer the ones you want to. At least one.
Have no idea how to do this. Please help I beg you.
Answers
Answer:
Step-by-step explanation:
5a.) It starts with two at time one and increases by one each time
5b.) x+1
6.) Formula: (2/3)(x-1)+1, the fifth term would be (2/3)*(5-1)+1= 11/3
7a.) I will leave you to make the table. n+2 is wrong because it's increasing by 2 blocks each time
7b.) 2n+1
8a.) x²
8b.) just draw a 6x6
8c.) 12²=144
You are going to have a birthday party and serve pizza. You plan to order pepperoni pizza
that costs $8 each and sausage pizza that costs $6 each. You need 100 pizzas and have
$740 to spend, how many of each type of pizza can you buy?
Answers
Answer:
70 pepperoni 30 sausage
Step-by-step explanation:
30 times 6 is 180
70 times 8 is 560
180 plus 560 is 740
A group of marine biologists on a marine expedition recorded the altitudes at which they found four animals. Which inequality correctly compares the altitudes at which they found the animals?
Creature Altitude (feet)
great white shark -430
sea urchin -452
sea turtle -502
garden eel -396
A.
sea turtle < sea urchin < great white shark < garden eel
B.
garden eel < sea urchin < great white shark < sea turtle
C.
great white shark < sea urchin < sea turtle < garden eel
D.
garden eel < great white shark < sea urchin < sea turtle
E.
sea turtle < great white shark < sea urchin < garden eel
Answers
Answer:
Option D
Step-by-step explanation:
Since we know that if the number is negative then the smaller the number is greater. Ex :-
-7 > -10
So,
Arranging the given altitude in descending order
-396 > -430 > -452 > -502
Hence,
The highest altitude is of garden eel. Then of great white shark. Afterward the altitude of sea urchin. At last the lowest altitude is of sea turtle
Answer:
Hope it will help you a lot.
Will mark brainliest
Answers
Answer:
The heart is in the Quadrant IV
Answer:
your anwser would be IV please mark brianliest
Step-by-step explanation:
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answers
Answer:
is it 1?
Step-by-step explanation:
what is the coefficient in 5z -4m -2x
Answers
Answer:
The coefficients are 5, -4, and -2.
Step-by-step explanation:
Coefficients refer to the numbers that are directly in front of variables. (Variables are any given letter, in a math problem, that represent unknown number values).
With this being said, the coefficients in this expression are 5, -4, and -2.
Hope this helps you :)
Jett leaves for the airport at 3:20 p.m. The airport is a 35-minute drive from his house. What time does he reach the airport?
Answers
Answer:
3:55
Step-by-step explanation:
add 35 to 20 then put the hour =
3:55
plsssssssss help
joey decided to start a lawn care business. He charges customers $25 per hour, plus a $75 service fee for each visit, which can be represented by the function f(x)=25x+75. In the equation, what is represented by the "x" variable?
Question 15 options:
the total cost for the lawn care visit
the number of hours Joey worked
the amount Joey charges per hour
the fixed fee for the service call
Answers
Answer:
X = The number of hours Joey worked (C)
Step-by-step explanation:
$25 is the fee per hour worked. x is the amount of hours worked. added onto this total is another flat $75 fee for the whole visit, making the equation $25 multiplied by the number of hours worked, plus 75.
i’m struggling with this question. can you please help me?
Answers
Answer:
50°
Step-by-step explanation:
∠ RST = (arc QC - arc RT) / 2
= (150° - 50°) / 2
= 50°
34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
recorded beginning at noon. Also interpret the meaning of x = 3.5.
Answers
The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.
x = 3.5 represents 3.5 hours after noon.
How to Find Average Rate of Change Over an IntervalGiven an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:
[tex]\frac{f(b) - f(a)}{b - a}[/tex]
Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.
a = 0.5
f(a) = 47 (from the table, when x = 0.5, y = 47)
b = 3.5
f(b) = 62 (from the table, when x = 3.5, y = 62)
Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]
Average rate of change = 5
x = 3.5 represents 3.5 hours after noon.
Learn more about average rate of change on:
https://brainly.com/question/11627203
Please, Please help ASAP
Answers
Answer:
5 is the answer
please mark as brainlist
thank you
Find x in the triangle
Answers
Answer:
15
Step-by-step explanation:
convert the following equation into standard form. y= -5x/6+2
Answers
Answer:
5x + 6y = 12
Step-by-step explanation:
The standard form of a linear equation is Ax + By = C.
Multiply both sides by 6
6y = 6(-5x/6 + 2)
Simplify the right side
Simplify
6(−5x/6+2)
Apply the distributive property = a ( b + c ) = ab + ac
6y = 6( −5x/6) + 6 ⋅ 2
Cancel the common factor of 6
Move the leading negative in −5x/6 into the numerator
6y = 6 −5x/6 + 6 ⋅ 2
Cancel the common factor 6
Rewrite the expression
6y = −5x + 6 ⋅ 2
Multiply 6 by 2
6y = -5x + 12
Move all terms containing variables to the left side of the equation
Add 5x to both sides of the equation.
6y + 5x = 12
Reorder 6y and 5x
5x + 6y = 12
HELP ASAP PLEASE!!
full work shown gets brainliest!!
What is the product of 8 radical 5and 2 radical 30 in simplest radical form?
Answers
Answer:
= 40√6
Step-by-step explanation:
least common multipler of 8,2:8
solve similar triangles (advanced)
Answers
Step-by-step explanation:
since m<CBA = m<EDA = 90
, < A is a common angle
then : triangle EDA is similar to triangle CBA
then : 11/3+X = 2/3
33=6+2X
27=2X
X=13.5
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.
Answers
A local business charges $20 to set up their sweatshirt printing machine with the design and $9.75 in materials per sweatshirt to print.
1. Write an equation for the average cost A(x) of printing x sweatshirts through this company.
2. Describe what happens to the average cost per sweatshirts as more and more are printed.
Answers
120% of what number is 102
Answers
Answer:
122.4 i think
Step-by-step explanation:
in the diagram below, what is the value of X?
Answers
Answer:
x=15
Step-by-step explanation:
Well we start with the fundamentals of a triangle we know that all the angles of a triangle add up to 180*, so you can start by adding 55* and 65* and end up with 120* then you can add 30* and get 150* then you can take the total of 150* and subtract it from 180* to get 30 now you take that 30 and divide it by 2 and get 15* for the final angle of the triangle.
PLEASE HELP ONLY ANSWER IF YOU KNOW ITS CORRECT
Answers
Answer:
D
Step-by-step explanation:
lx+2l+7>10 /-7
lx+2l>3
if x >0, x+2>3 /-2, x>1
if x <0, x+2<-3 /-2, x<-5
= 259.84 −168.789what is the answer
Answers
Answer:
91.051
Step-by-step explanation:
259.840
- 168.789
---------------
091.051
----------------
HI GUYS CAN SOMEONE PLEASE HELP...
TYSM IT WUD MEAN SO MUCH
Answers
Answer:
what do you need help with??
Step-by-step explanation:
i would be happy to help : )
For all values of x, which expression is equivalent to (3x + 2) + 2(3x + 2)?
es)
A)
6x + 4
B)
6x + 6
C)
9x + 4
D)
9x + 6
o
(MAFS.6
Answers
Answer:
[tex]9x+6[/tex]
Step-by-step explanation:
[tex]\left(3x+2\right)+2\left(3x+2\right)[/tex]
[tex]x+2+2\left(3x+2\right)[/tex]
[tex]3x+2+6x+4[/tex]
[tex]9x+6[/tex]
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf(3x + 2) + 2(3x + 2)[/tex][tex](3x + 2) +[(2 \times 3x) +( 2 \times 2)][/tex][tex] \sf3x + 2 + 6x + 4[/tex][tex] \sf3 x + 6x + 2 + 4[/tex][tex] \sf9x + 6[/tex]