Answer:
6.55 cm
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.
Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:
c² = a² + b² - 2ab*cos(C)
Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:
QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)
QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270
QR² = 43
QR = 6.55 cm
Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.
Answer:
C
Step-by-step explanation:
AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.
The given triangles ΔABC and ΔLMN are similar by AA postulate.
What is a triangle?A triangle is a three sided polygon that consist of three edges and three vertices .
Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.
Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.
Hence two triangles are similar by AA postulate.
Thus two triangles are similar by AA postulate. So option (C) is correct.
To learn more about triagles click here:
https://brainly.com/question/24147586
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13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?
Answer:
384 words per day
Step-by-step explanation:
If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.
Answer:
384 words per day
Step-by-step explanation:
3000-696=2304
So 2304 divided by 6 =348
Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.
y = 12x + 3
y = 8x + 23
How many shirts would you have to purchase for the total cost to be the same at both companies?
Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
How would you describe the channel of distribution for Coke using the BreakMate?
Answer:
Yes
Step-by-step explanation:
1. What
2. Even if that's an actual question, it doesnt make any sense
3. What
4. Even if that's an actual question, it's not math related
5. What
Help pls!!!!!!!!!!!!! trigonometry is it cos sin or tan
Answer:
tan (angle T) = 5/2
angle T = arctan (5/2)
Indicate the method you would use to prove the two A's =. If no method applies, enter "none".
O SSS
O SAS
O ASA
O AAS
ONone
(First correct answer for brainliest) Find the length of JM
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =
Answer:
= -2/7
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-14)/(13 - -15)
= (6-14)/(13+15)
= -8/28
= -2/7
Find the equation of the line through point (4,−7) and parallel to =−2/3+3/2 Use a forward slash (i.e. "/") for fractions (e.g. 1/2
helpppp please!!!!!!
Answer:
x-8
Step-by-step explanation:
since we dont know how much gas is in the tank, lets make that X.
and since we subtract 8 gallons from how much is in the tank, we make that X-8
Answer:
Inequality:
x < 8
The Graph Would be the Hallow Dot on the 8, then it would go the left way.
Convert 10m in cm.
♡
Answer:
1000 cm
Step-by-step explanation:
Recall that 100 cm = 1 m.
This results in the conversion factor 100cm
-------------
1 m
Then 10 m times the conversion factor shown above yields 1000 cm
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
can I get a walkthrough on these problems please?
Answer:
Step-by-step explanation:
52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)
79 = angle 1
angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)
angle 2 = 92 - 71
angle 2 = 21 degree
What is the weight of one boxe of a 165 ounces
Answer:
10 pounds
Step-by-step explanation:
165 ounces = 10 pounds
Answer:
10 pounds, 5 ounces
Step-by-step explanation:
The phrasing of the question is unclear. 165 ounces is itself a measure of weight, but it can be further broken down into pounds and ounces.
Recall that 1 pound = 16 ounces. Therefore, 165 ounces = 10 pounds with remainder of 5 ounces. Or in simple decimals it is 165 ounces / 16 ounces = 10.3125 pounds.
Can somebody help I’ll give brainless plss
Answer:
$93.22
Step-by-step explanation:
bill = $79
tip = 18%
tip amount = tip % of bill
=18/100 * $79
=$1422/100
=$14.22
total cost = $79 + $14.22
=$93.22
Answer:
93.22
Step-by-step explanation:
Find the amount of the tip
79*18%
79 * .18
14.22
Add this to the amount of the bill
79+14.22
93.22
How much is 3 lbs of gold worth I’m American money
Answer:
$1865
The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.
The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.
PLEASE HELP
what is the amount of an investment $10,000 compounded quarterly for 3 years at a rate of 4 percent?
Answer:
10000 times 3 times 0.04 = 1200
Answer:
11268.25
Step-by-step explanation:
[tex]P(1+\frac{i}{n})^{n*t}=10000(1+\frac{.04}{4})^{4*3}=11268.2503[/tex]
(x+1)^2 . (x^2+1) = 0
Answer:
[tex]x^4+2x^3+2x^2+2x+1[/tex]
Step-by-step explanation:
Given that,
[tex](x+1)^2 . (x^2+1) = 0[/tex]
We know that, [tex](a+b)^2=a^2+b^2+2ab[/tex]
So,
[tex](x+1)^2=x^2+1+2x[/tex]
So,
[tex](x+1)^2 . (x^2+1) = (x^2+1+2x)(x^2+1)\\\\=x^2\times x^2+x^2+2x^3+x^2+1+2x\\\\=x^4+2x^3+2x^2+2x+1[/tex]
So, the value of the given expression is equal to[tex]x^4+2x^3+2x^2+2x+1[/tex]
Use the number line to find the measure of SV
Answer:
8
Step-by-step explanation:
S = -7 to V= 1 you count from -7 to 1
How do you find the equation of a line of a triangle when given the area and one set of coordinates?
A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?
Answer:
speed = 32km/hr
Step-by-step explanation:
Time
10:15 to 10:30 = 1/4 hr
speed = distance/time
speed = 8 / (1/4)
speed = 32km/hr
simplify
x - ( - 6 x )
Answer:
7x
Step-by-step explanation:
Answer:
answer
x - ( - 6x )
x + 6x
= 7x
the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)
Answer:
$469.80
Step-by-step explanation:
First, let's find out how many fees would be paid exclusively for renting it out for 14 days.
29.00 * 14 = $406
They have to pay 406 dollars just for having the car for 14 days.
Now let's find out how much will need to paid for driving for 320 km.
We can first take away 100 km because the fee only starts afterwards.
320 - 100 = 220
220 * 0.29 = 63.8
63.80 + 406 = 469.80
Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x 2 + 6x + 5
HELP PLEASE!!!!!!
Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
change from improper fraction to mix number 51/7
Answer:
7 3/7
Step-by-step explanation:
Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
Answer:
$5,843.9
Step-by-step explanation:
2016
Total health care cost in US = $1.7 trillion
= $1,700,000,000,000
Population in US = 290.9 million.
= 290,900,000
Average amount spent per person on health care = Total health care cost in US / Population in US
= 1,700,000,000,000 / 290,900,000
= $5843.9326228944
Approximately,
$5,843.9
To the nearest whole number
= $5,844
Using divisibility tests, check whether the number 240720 is divisible by
2, 3, 4, 5, 6, 8, 9, 10 and 11. (Give reason)
Answer:
Let's see each case.
a) 2
We know that a number is divisible by two if it ends in {0, 2, 4, 6, 8}
In our case, we have 240,720
We can see that it ends with a zero, so it is divisible by 2.
b) 3
A number is divisible by 3 only if the sum of its digits is a multiple of 3.
For our number, the sum of the digits gives:
2 + 4 + 0 + 7 + 2 + 0 = 2 + 4 + 7 + 2 = 6 + 9 = 15
15 is a multiple of 3, then 15 is divisible by 3.
then 240,720 is divisible by 3.
c) 4
A number is divisible by 4 if the last two digits form a number that is divisible by 4.
In this case, the last two digits are 2 and 0, so they form the number 20
and we know that 20 = 4*5 is a multiple of 4.
then 20 is divisible by 40
then 240,720 is divisible by 4
d) 5
A number is divisible by 5 if it ends in 0 or 5.
Our number ends in a 0, so it is divisible by 5.
e) 6
A number is divisible by 6 if it is divisible by 2 and 3.
We already know that our number is divisible by 2 and 3, so we can conclude that it is also divisible by 6.
f) 8
A number is divisible by 8 if, in the case where the hundreds digit is odd, the number obtained from the last two digits plus 4 must be divisible by 8.
in the case where the hundreds digit is even, the number formed by the last two digits must be divisible by 8.
In our case the hundreds digit is 7, so it is odd, so we will use the first criteria.
The last two digits form the number 20
if we add 4, we get:
20 + 4 = 24
And 24 is a multiple if 8: 8*3 = 24
Then 24 is divisible by 8, then 240,720 is divisible by 8.
g) 9
Similar for the case of the 3, a number is divisible by 9 if the sum of its digits is divisible by 3.
We know that the sum of the digits of our number is 15, which is not divisible by 9, then our number is not divisible by 9
h) 10
A number is divisible by 10 if the last digit is a zero.
In this case the last digit is a zero, so 240,720 is divisible by 10.
i) 11
A number is divisible by 11 if:
starting from the left, you need to add and subtract each subsequent digit, if this is divisible from 11, then the original number is divisible by 11.
Then for 240,720 we have:
2 - 4 + 0 - 7 + 2 - 0 = -2 - 5 = -7
-7 is not divisible by 11, so our number is not divisible by 11
Perform the transformations
Solve 4(x - 3) - 2x - 1) > 0
Answer:
x > 5.5
Step-by-step explanation:
4(x - 3) - (2x - 1) > 0
4x - 12 - 2x + 1 > 0
4x - 2x - 11 > 0
2x - 11 > 0
2x - 11 + 11 > 0 + 11
2x > 11
2x ÷ 2 > 11 ÷ 2
x > 5.5
Answer:
x>13/2
Step-by-step explanation:
4x-12-2x-1>0
2x-13>0
2x>13
X>13/2
