Answer:
Step-by-step explanation:
The measure of sides of ΔPQR are PQ=13 units, QR=5 units and RP=2 units.
Given that, triangle PQR whose vertices are located at P(-5, 2), Q(7,-3), R(7, 2).
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].
Using distance formula,
PQ =√[(7+5)²+(-3-2)²]
= √169
= 13 units
QR =√[(7-7)²+(2+3)²]
= √25
= 5 units
RP =√[(-5+7)²+(2-2)²]
= √4
= 2 units
Therefore, the measure of sides of ΔPQR are PQ=13 units, QR=5 units and RP=2 units.
To learn more about the distance formula visit:
brainly.com/question/27262878.
#SPJ2
How to factorise equations such as 6x+18y, I have to do questions 4-9
Answer:
4) 6(x+3y)
5) 3b(a+c)
6) 6a(x−2y)
7) 6a(a−2)
8) 7x(x−4)
9) 5x(3x+5y)
Step-by-step explanation:
6x+18y
you find what goes into that number
for example 6 goes into 18, 3 times
so you can keep the 6
next you put the x and plus stays the same
as we said before 6 goes into 18, 3 times so we put the 3 and y next
so this is the equation
6(x+3y)
6 times x = 6x
6 times 3 = 18
y and plus stay the same
brackets shows that your timesing the numbers
i hope this makes sence tried my best not to waffle :)
If you slice a rectangular pyramid parallel to its base, name the shape of the cross section made in the pyramid.
Answer:
If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.
Answer:
A rectangle
Step-by-step explanation:
A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid. In this case, a rectangle.
HELP ME!! I WILL MARK BRAINLIEST!!
Ez brainliest
Answer:
4) A) cuttings
5) B) pollinated
9) C) heredity
Step-by-step explanation:
Answer:
1) A.
2) B.
3) C.
I hope this helps.
Please mark me the Brainliest!
The radius of a circle is 17.8 ft. Find the circumference to the nearest tenth.
10) What is the value of x in the figure below?
Answer:
x=68
Step-by-step explanation:
let y equal the vertical angles
49+55+ y= 180
y=76
vertical angles are equal
35+76+x=180
x=68
Please Help, The Question Is On The Picture. If Right I'll Mark Brainllest
Answer:
12/13
Step-by-step explanation:
Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2
x^2+25=169
x^2=144
x=12
sin(x)=12/13
plssss help
use multiplication to solve the proportion
Answer:
Its 7.333333333333333333 (3 forever)
First you isolate y onto one side of the equation
y/9= 44/54 --> y = 9 x 44/54
Multiply the right side of the equation
9 x 44/54 = 396/54
Now divide to get the whole answer
396/54 = 7.3333333333 (3 forever)
y = 7.333333
Plz help Quadrilateral PQRS Is shown in the graph
Amelia used 666 liters of gasoline to drive 484848 kilometers.
How many kilometers did Amelia drive per liter?
Answer:
728 km / lit
Step-by-step explanation:
kilometers per liter = kilometers / liters
k/l = 484848 / 666
kilometers per liter = 728
Answer: The answer is 8 kilometers
Step-by-step explanation:
khanacademy
A cube has a volume of 15 5/8. What's the surface area?
a 36 3/8
b 64 1/8
c 9 1/3
d 37 1/2
Answer:37 1/2
Step-by-step explanation:
You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2
What is the gradient of the line that passes through the points (0,0) and (3,3)?
Answer:
1
Step-by-step explanation:
the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as
rise/run
or
change in y value/change in x value
or
(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).
We have two coordinates (0,0) and (3,3)
Therefore,
x1 = 0, y1 = 0
x2 = 3, y2 = 3
If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]
first person to get it right gets brainliest
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
A computer chip company finds the experimental probability of manufacturing a defective computer chip is 1/3 how many defective computer chips are likely to be in a batch of 735 computer chips
Answer:
There are 245 expected defective chips in the batch
Step-by-step explanation:
From the question, we have that in a batch of computer chips, it is expected that a third is defective
Now, in this present batch, there are 735 chips
The number of defective chips is a third of this
Thus, we have the number of defective chips as;
1/3 * 735 = 245 chips
HELLPPPPPPPP PLS. What is the volume of the rectangular prism?
Type the answer in the boxes below.
NI
cm
Answer:
3.75 cm³
Step-by-step explanation:
Each cube has equal sides of 1/2 cm
Length of the rectangular prism = 1/2 cm * 5
= 2.5 cm
Width of the rectangular prism = 1/2 cm * 2
= 1 cm
Height of the rectangular prism = 1/2 cm × 3
= 1.5 cm
Volume of the rectangular prism = length × width × height
= 2.5 cm * 1 cm * 1.5 cm
= 3.75 cm³
Volume of the rectangular prism = 3.75 cm³
HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT
Answer:
x = 11, -1
Step-by-step explanation:
First, let's identify what the quadratic formula is:
x = [-b ± √(b² - 4(a)(c))] / 2
Our equation is written in standard form:
ax² + bx + c = 0
x² - 10x - 11 = 0
Let's plug in what we know.
x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2
Evaluate the exponent.
x = [-(-10) ± √(100 - 4(1)(-11))] / 2
Simplify the negatives.
x = [10 ± √(100 - 4(1)(-11))] / 2
Multiply.
x = [10 ± √(100 + 44)] / 2
Simplify the parentheses.
x = [10 ± √(144)] / 2
Simplify the radical (√)
x = [10 ± 12] / 2
Evaluate the ±.
x = [10 + 12] / 2
x = [22] / 2
x = 11
or
x = [10 - 12] / 2
x = [-2] / 2
x = -1
Your answers are x = 11, -1
Hope this helps!
pls I need your help in finding this math problem
9514 1404 393
Answer:
(a) 38.3 m horizontal distance
(b) 82.1 m high
Step-by-step explanation:
I like a graphical solution to this problem (attached).
__
If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.
tan(65°) = t/h
tan(40°) = (t -50)/h
__
Multiplying both equations by h and substituting for t, we have ...
h·tan(40°) = h·tan(65°) -50
h = 50/(tan(65°) -tan(40°)) . . . . solve for h
h ≈ 38.3022
Then the tower height is ...
t = h·tan(65°) ≈ 82.1394
The tower is about 38.3 m distant and 82.1 m high.
Bernard had 15 red notebooks, 17 blue notebooks and 19 white
notebooks. He gave some of them to Tom and had 5 left. How
many notebooks did Bernard give Tom?
Answer:
He gave 46 to Tom
Step-by-step explanation:
He started is 51 notebooks- 15 + 17 + 19 = 51
He then gave some away until he only had 5 left 51 - 5 = 46
He gave 46 to Tom
What is the radius of the sphere?
Answer:
32/3 cubic
Step-by-step explanation:
D.32/3
32/3=32:2= D.8 units
Mhanifa can you help this is due soon!!
Answer:
Question 1Given pentagon
Sum of interior angles:
S = (5 - 2)*180° = 540°Sum of exterior angles is same for any polygon:
360°Question 2Given hexagon
Sum of interior angles:
S = (6 - 2)*180° = 720°Sum of interior angles of a given hexagon:
x + 120° + 156° + 145° + x + 9° + 90° = 720°2x + 520° = 720°2x = 200°x = 100°Isabella invested $1300 in an account that pays 4.5% compounded annually. Assuming no deposits or withdrawals are made , find how much money Isabella would have in the account 14 years after her initial investment . Round to the nearest tenth.
Answer:
FV= $2,407.53
Step-by-step explanation:
Giving the following information:
Present Value (PV)= 1,300
Interest rate (i)= 4.5% = 0.045
Number of periods (n)= 14 years
To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 1,300*(1.045^14)
FV= $2,407.53
It is 1/2 mile from a student's home to a store and back. In a week, she
walked to the store and back home 1 time. In the same week, she rode her
bike to the store and back 3 times. How many miles did she walk and ride
to the store and back in that week? *
Answer:
2 miles
Step-by-step explanation:
Given that :
Distance from home to store and back = 1/2 mile
In a week :
Number of times he walked from home to store and back = 1 time
Number of times she rode to store and back = 3 time
Note distance does not change whether she rode or walked:
Hence,
miles walked = 1/2 miles * 1 = 1/2 miles
Miles biked = 1/2 miles * 3 = 3/2 miles
Total Number of miles :
(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles
What is the value of y? Enter your answer, as an exact value in the box.
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]
HELP please lol ill love u forever if u do this for me bestie
Factor Completely: 8 x^3 −12 x^2 −2x+3
Answer:
Step-by-step explanation:
8x^3 - 12x^2 - 2x + 3
4x^2(2x - 3) - 1( 2x - 3)
(4x^2 - 1)(2x - 3)
(2x - 1)(2x + 1)(2x - 3)
Answer:
[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]
Step-by-step explanation:
[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]
hope this helps you
can I have the brainliest please?
A veterinary office pays PupFood $22.50 for each bag of dog food. If the office spent $585, how many bags of food did they purchase?
Solve 14x + 8 = 22
help me!!
14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.
its 1
The population of a town was 25,000 in the 2000 census and 30,000 in the 2010 census. By what percent did the population increase?
Answer: This means that the population increased a 20% between the year 2000 and the year 2010.
Step-by-step explanation:
In this case, we have that 25,000 is the 100%.
Now we want to know which percentage represents 30,000
Let's suppose that the percentage is X.
Then we can have a system of equations:
30,000 = X
25,000 = 100%
To find the value of X, we can take the quotient of these two equations:
30,000/25,000 = X/100%
(30,00/25,000)*100% = X = 120%
Then in the 2000 we had a 100%, and in the 2010 there was a 120%.
The difference is:
120% - 100% = 20%
This means that the population increased a 20% between the year 2000 and the year 2010.
define the term net income .. according to the given context
ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.
answer these questions please ill give brainliest if your aanswer is right
(2p^3 · 2p)^2
HELLO I NEED HELP
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
(2p^3 · 2p)^2 We are gonna be simplifying
(4p^4)^2
Step 2
(4p^4)(4p^4)
16p^8
So therefore your answer would be 16p^8
Hope this helps