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
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
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
120% of what number is 102
Answers
Answer:
122.4 i think
Step-by-step explanation:
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
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:
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:
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.
Please, Please help ASAP
Answers
Answer:
5 is the answer
please mark as brainlist
thank you
Instead of dividing $15.00 by 2 1/2, double both numbers and then find the quotent.
Answers
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
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answers
Answer:
is it 1?
Step-by-step explanation:
= 259.84 −168.789what is the answer
Answers
Answer:
91.051
Step-by-step explanation:
259.840
- 168.789
---------------
091.051
----------------
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.
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 : )
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]
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
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 :)
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.
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]What is the slope of the line?
I really need help
Answers
Slope
m=(2-0)/1+2m=2/3I NEED ANSWER ASAPPPP
Answers
boy-7/12
girl-5/12...................
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°
Combine 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:
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
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
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
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
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
Find x in the triangle
Answers
Answer:
15
Step-by-step explanation:
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
