Answers
Answer:
option A : 25
Step-by-step explanation:
Given :
P = (- 6, 7) , Q = ( 2 , 1 ) , R = ( -1 , -3)
Find the length of PQ ,QR , PR.
Using distance formula to find the lengths.
[tex]distance = \sqrt{(x_2 - x_1 )^2 + (y_ 2- y_1)^2[/tex]
[tex]PQ = \sqrt{(2 -- 6)^2 + (1-7)^2} = \sqrt{8^2 + 6^2 } = \sqrt{64 + 36 } =\sqrt{100} = 10\\\\QR = \sqrt{(2 --1)^2 + (-3-1)^2}= \sqrt{3^2 + 4^2} =\sqrt{9+ 16} =\sqrt{25} = 5\\\\PR = \sqrt{(-1--6)^2 + (-3 -7)^2} = \sqrt{5^2 + 10^2} = \sqrt{25 + 100} = \sqrt{125}[/tex]
Clearly , the triangle satisfies Pythagoras theorem :
Square of larger side = Sum of squares of other sides.
Therefore , PQR is a right triangle,
with base = 5, height 10 and slant height(hypotenuse) = [tex]\sqrt{125}[/tex] .
[tex]Area = \frac{1}{2} \times base \times height[/tex]
[tex]=\frac{1}{2} \times 5\times 10\\\\= 5 \times 5 \\\\= 25 \ square\ units[/tex]
Related Questions
You might need: Calculator
On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these
flowers rapidly increases as the trees blossom.
The relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts,
L(t), is modeled by the following function:
5.9
L(t) = 750.
(1)
Complete the following sentence about the rate of change in the locust population.
2
The population of locusts gains of its size every
3
days.
Answers
Answer:
5.9
Answer directly from Khan
Can y’all help me on question 13?!
Answers
Answer:
85 cm2
Step-by-step explanation:
Separate the figure into sections and add the product
if the sum of five consecutive even integers is 740 what is the largest value of this
Answers
9514 1404 393
Answer:
152
Step-by-step explanation:
The third one is their average, so is 740/5 = 148. The largest is 4 more than that, so ...
the largest value of the group is 152
_____
The numbers are 144, 146, 148, 150, 152.
The largest number when sum of five consecutive even integers is 740 is 152.
What is consecutive numbers?Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.
Example: 1,2,3,4,5,6
1,3,5,7,9,11
2,4,6,8,10,12
Difference between nearer numbers always equal
Given,
There are 5 consecutive even integers.
Then difference between each nearer number is 2
Let the first number be x
Then another 4 numbers be
(x + 2), (x + 4), (x + 6), (x + 8)
Now
According to question
(x + x + 2 + x + 4 + x + 6 + x + 8) = 740
5x = 740 - 20
x = 144
And the highest number is x + 8 = 152
Learn more about Numbers:
https://brainly.com/question/17429689
#SPJ2
Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and then, without replacement, a face card? Express your answer as a fraction or a decimal number rounded to four decimal places
Answers
Answer:
0.0181 probability of choosing a king and then, without replacement, a face card.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability of choosing a king:
There are four kings on a standard deck of 52 cards, so:
[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]
Probability of choosing a face card, considering the previous card was a king.
12 face cards out of 51. So
[tex]P(B|A) = \frac{12}{51}[/tex]
What is the probability of choosing a king and then, without replacement, a face card?
[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]
0.0181 probability of choosing a king and then, without replacement, a face card.
please help! asap!! function A and function B are linear functions, which statement is true?
Answers
Answer:
A
Step-by-step explanation:
Equation of the line A
(y+7)/(17+7) = (x+3)/(3+3)
(y+7)/24 = (x+3)/6
y+7 = 4x + 12
y = 4x + 5
y intercept = 5
Function B
y intercept = -2
help..............................................................
Answers
Answer:
This will now be ⁴√(7^9)
Step-by-step explanation:
c=4
a=7
b=9
find measure of indicated arc please!
Answers
Answer:
94 degrees
Step-by-step explanation:
Solve for angle C please
Answers
Answer:
13.3 cm
Step-by-step explanation:
We can use the Pythagoream Theorem to identify any missing angles!
[tex]a^{2} +b^2=c^2[/tex]
In this case, will leave c for a^2!
[tex]a^2+20^2=24^2[/tex]
[tex]a^2+400=576[/tex]
[tex]576-400=a^2[/tex]
[tex]a^2=176[/tex]
[tex]\sqrt{176} = 13.3[/tex]
Shana has three pets, a dog, a cat and a bird. One of them is named Sammy. Noodles is younger than both the bird and the dog. Fluffy is green. Which pet has the name Sammy?
Answers
Answer:
The dog has the name Sammy.
Step-by-step explanation:
A cat and dog cannot be green, therefore the bird is Fluffly.
Noodles must be the cat since it's younger than the bird and the dog.
The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.
Which equation would have the steepest graph? Explain how you know?
Answers
Answer:
y = 3/8 x
Step-by-step explanation:
the smaller the number the steeper the graph
A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?
21 cm
42 cm
оооо
72 cm
108 cm
Answers
A rectangle has sides of 9 cm and 12 cm long. What is the perimeter of the rectangle?
Answer:-42 cm
Answer:42cm
Step-by-step explanation:
formula=2l+2w
2 (9)+2 (12)
18+24= 42cm
which of the following best describes the slope of the line below? pls help asap
Answers
Answer:
Step-by-step explanation:
Undefined.
Explain why the set of polynomials is closed under subtraction
Answers
Answer:
Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.
Step-by-step explanation:
A)Chris and Alex Were Building a sand Castle. They Decided to make it into a cone shape. After some time, the diameter of the the sand shaped cone was 12in and the height was 7in. What is the exact volume of the sand cone?
B) the kids kept adding sand, ten minutes later the volume of the sand cone had increased by 30%. what is the exact volume of the sand cone now?
Answers
Answer:
A.) 84π | B.) 546π/5
Step-by-step explanation:
A.)
V(Cone) = πr²(h/3) where r = radius and h = height.
r = d/2 where d = diameter.
r = 12/2 = 6
V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π
B.)
84π · 0.3 = 126π/5
84π + 126π/5 = 546π/5
Sam asks five of his friends in his accelerated ELA class.
He finds that the average number of books read for this sample was 6.
Give two reasons why this sample might not be representative of the population that Sam is
trying to study
Answers
Answer:
1) Sam only interviewed five people out of his entire ELA class, so he doesn't have a very wide demographic to study
2) All of these people were Sam's friends, so they might all have similar interests or only enjoy certain things, and that doesn't allow for a wide range of data collection
Sample isn’t representative as he only asks his friends (bias may be shown as Sam may know that his friends r avid or lazy readers). Not proportionate to the whole ELA class
How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?
Answers
Using only an addition, how do you add eight 8’s and get the number 1000?
Answers
Answer:
8
8
8
8 8
8 8 8
-------------------
1 0 0 0
Step-by-step explanation:
The diameter of a circle is 15 in. Find its circumference in terms of \piπ
Answers
Answer:
15π in
Step-by-step explanation:
In order to solve this, we need to know that the circumference of a circle can be found by using the following formula...
Circumference = dπ (where d is the diameter of the circle)
Therefore the circumference equals...
Circumference = dπ = 15π in
[tex]\boxed{Given:}[/tex]
Diameter of the circle "[tex]d[/tex]" = 15 in.
[tex]\boxed{To\:find:}[/tex]
The circumference of the circle (in terms of π).
[tex]\boxed{Solution:}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:15\:π\:in.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = \pi \times 15 \: in \\ \\ = 15 \: \pi \: in[/tex]
Therefore, the circumference of the circle is 15 π in.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
LA=
Round your answer to the nearest hundredth.
С
7
A
?
8
B
Answers
Answer:48.81
Step-by-step explanation:
Hope it helps
The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where is the park bench from the building? round to the nearest whole number
Answers
Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
Can someone graph this quick plsssss
Answers
Answer:
x = 0.529 and y = 3.882
Step-by-step explanation:
The given equations are :
[tex]y=\dfrac{5}{3}x+3\ ......(1)\\\\y=\dfrc{1}{3}x-3\ .......(2)[/tex]
We need to solve the equations by graphing.
The attached figure shows the solution of the given equations. We can see that, the intersecting points are :
x = 0.529 and y = 3.882
Hence, this is the required solution.
which of the following is true because of the commutative law of multiplication
15*3=45
15*3=40+5
15*3=3*15
15*3=3*3*5
Answers
Explanation:
The commutative law of multiplication says that A*B = B*A, for any real numbers A,B. The order of multiplication doesn't matter.
That's why 15*3 is the same as 3*15.
This is because having 15 groups of 3 leads to 3+3+3+...+3 = 45 (imagine adding 15 copies of '3' together), and having 3 groups of 15 gets us 15+15+15 = 45 as well.
Or you could picture a rectangular table that has 15 rows and 3 columns. It has 45 inner cells. If the table had 3 rows and 15 columns, then we'd still have 45 inner cells.
On a number line what nomber is 3 units to the left of 3
Answers
Answer:
Hello There!!
Step-by-step explanation:
The answer is 0. The number is 3 and you move 3 units to the left which is toward the negative numbers sides below zero which equals the answer as 0. [3-3=0.]
hope this helps,have a great day!!
~Pinky~
Step-by-step explanation:
7On a number line what nomber is 3 units to the left of 3
What's the area of this yellow surface? pick one of the options.
Answers
Divide shape into one rectangle and two squares:
Area of rectangle:
10 x 2 = 20 in^2
Area of one square:
2 x 2 = 4 in^2
Multiply that by 2 because we have 2 squares similar in size:
4 in^2 x 2 = 8 in^2
Add the area of the rectangle and two squares:
20 in^2 + 8 in^2 = 28 in^2
Have a nice day
Hope this helps!
Candice works at a grocery store. She works 35 hours a week and
gets paid $8.50 an hour. For every hour over 35, Candice gets
paid $10 an hour. If she was paid $357.50 last week, how many
hours over 35 did Candice work?
Answers
9514 1404 393
Answer:
6
Step-by-step explanation:
For 35 hours, Candice is paid ...
($8.50/h)(35 h) = $297.50
Any amount in excess of that is paid at $10 per hour. The amount of excess pay is ...
$357.50 -297.50 = $60.00
Then the number of overtime hours was ...
$60/($10/h) = 6 h
Candice worked 6 hours over 35 last week.
PLZ DONT LEAVE IN BLANK I WILL DO ANYTHING!!!! PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ 20 Xp
The data below shows the scores of some students on a test:
29, 31, 27, 20, 25, 34, 24
Which box-and-whisker plot represents the data?
Answers
Answer: The answer is C.
Step-by-step explanation:
It is definitely not B because the average of the numbers compared to what that shows don't make sense.
The biggest number that you gave us is 34 but on option A, it looks like its 30 or 31. So that's not correct.
Finally, it can't be D because the biggest number shown there is 35 when it actually is 34.
I hope I was able to help!
Good luck and have a great day :)
In the context of communication, which of the following statements is true of people from high-context cultures? a) They prefer the use of the direct, get-down-to-business conversation style.
b) They focus on the use of precisely written legal contracts.
c) They give importance to the position, age, and seniority of parties in a conversation.
d) They focus on the actual spoken and written word.
Answers
Question 1 of 25
Calculate the sum or difference. Enter the answer as a fraction in lowest
terms, using the slash (/) as the fraction bar.
2.5
tom
Answer here
Answers
Answer:
5/2 improper, 2 1/2 proper
Which data set has an apparent negative, but not perfect, linear relationship between its two variables
Answers
a deli employee can make a sandwhich in 6 minutes.she works for 84 minutes.how many sandwhiches can she make
Answers
Answer:
14
Step-by-step explanation:
84/6
Explanation: all you have to do is divide 84 by 6