Answers
Answer:
Step-by-step explanation:
[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]
∠L=60°
Related Questions
One positive number is 7 more than twice another. If their product is 1425, find the numbers.
Answers
Answer:
25 and 57.
Step-by-step explanation:
Let the lowest number be x then the other is 2x + 7, So:
x(2x + 7) = 1425
2x^2 + 7x - 1425 = 0
2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19
We need 2 numbers whose product is -2850 and whose sum is + 7.
These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:
2x^2 - 50x + 57x - 1425 = 0 Now we factor by grouping:
2x(x - 25) + 57( x - 25) = 0)
(2x + 57) ( x - 25) = 0
x = -57, 25.
We ignore the negative as we are given that the number is positive,
x = 25 is one number and the other is 2(25) + 7 = 57.
ms. valdez is preparing dinner for 6 people she bought an 8 pund tukey to rost for dinner and plans to distribute it evenly to each of the 6 people how many pounds of turkey should each person get
a- 1 1/3
b- 1 1/6
c 3/4
1/2
1/4
Answers
Answer:
A
Step-by-step explanation:
8/6 is also 1 1/3.
(assuming she doesn't include herself in the distribution).
The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length is 14 inches longer than its width, find the width.
Enter a number answer only.
Answers
Answer:
Width = 10 inches
Step-by-step explanation:
Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.
We can establish the following values to help us solve for the width of a rectangle:
Perimeter (P) = 68 inches
Length (L) = 14 + W inches
Width (W) = unknown
Solve for the Width (W)P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.
Divide both sides by 2:
[tex]\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}[/tex]
[tex]\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}[/tex]
Substitute the value of the Perimeter and the length (L) into the formula:
[tex]\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}[/tex]
Combine like terms on the right-hand side, and simplify the left-hand side of the equation:
[tex]\displaystyle\mathsf{34\:=14\:+2W}[/tex]
Subtract 14 from both sides:
34 - 14 = 14 - 14 + 2W
20 = 2W
Divide both sides by 2 to solve for the width (W):
[tex]\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}[/tex]
W = 10 inches
Therefore, the width of the rectangle is 10 inches.
Double-check:Verify whether the derived value for the width is correct:
P = 2L + 2W
68 = 2(14 + 10) + 2(10)
68 = 2(34) + 20
68 = 48 + 20
68 = 68 (True statement).
Thus, the length of the rectangle is 34 inches, and the width is 10 inches.
(4 − 3)(−3 + 6) − (2 − )
simplify
show all work
Answers
Answer:
(4 − 3)(−3 + 6) − (2 )
1(3)-2
3-2
1
Hope This Helps!!!
Use the order of operations to simplify 4(3.5 - 1.5) - 1/2.
a. 19 1/2
b. 7 1/2
c. 12
d. -4
Answers
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{4(3.5 - 1.5) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 4(2) - \dfrac{1}{2}}\\\\\mathbf{\rightarrow 8 - \dfrac{1}{2}}\\\\\mathbf{\rightarrow \dfrac{15}{2} \approx 7.5 \approx \boxed{\bf 7 \dfrac{1}{2}}}\\\\\\\\\huge\boxed{\textbf{Therefore, your answer is: \boxed{\mathsf{Option \ B. \ 7 \dfrac{1}{2}}}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{\bf Amphitrite1040:)}[/tex][tex]\huge \bf {Question}:—[/tex]
[tex] \boxed{\bf \: 4(3.5 - 1.5) - 1/2}[/tex]
[tex]\bf\huge Solution:—[/tex]
[tex] \sf \longmapsto \: 4*(3.5-1.5)-1/2[/tex]
[tex] \boxed{\bf \: Convert \: 1/2 \: i nto \: Decimal:—}[/tex]
[tex]\sf \longmapsto \: 4*(3.5-1.5)-0.5[/tex]
[tex] \boxed{\bf \: Subtract \: 3.5-1.5 :—\: (2 \: is \: the \: result)}[/tex]
[tex]\sf \longmapsto \: 4*(2) - 0.5[/tex]
[tex] \boxed{\bf Multiply \: 4 \: and \: 2:—(8 \: is \: the \: result)}[/tex]
[tex]\sf \longmapsto8-0.5[/tex]
[tex] \boxed{\bf \: Simply \: Subtract:—}[/tex]
[tex]\sf \longmapsto7.5[/tex]
[tex]\boxed{\bf Convert \: to \: Fraction, \: And \: Fraction\:to\:Mixed \:Fraction:—}[/tex]
[tex]\sf\longmapsto 15/2[/tex]
[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]
[tex]\boxed{\sf\longmapsto 7 \dfrac{1}{2} }[/tex]
________________________________
[tex]\boxed{\bf Solving \: in \: another \: way:—}[/tex]
[tex]\sf \longmapsto4*2-1/2[/tex]
[tex]\sf \longmapsto4*(2)-1/2[/tex]
[tex]\sf \longmapsto8-1/2[/tex]
[tex]\sf \longmapsto \: 15/2[/tex]
[tex] \boxed{\bf \: Mixed \: Fraction:—}[/tex]
[tex]\boxed{\sf \longmapsto \: 7 \dfrac{1}{2} }[/tex]
________________________________
[tex] \boxed{\bf \: \: Answer \: i s \: Option \: B}[/tex]
[tex] \boxed{\huge\sf \: (B) \: \bf \: 7\dfrac{1}{2}} [/tex]
21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.
Answers
Answer:
answer is 347.6
Step-by-step explanation:
21/7300= 347.6
A person of 600 newtons
gets on an elevator which
lifts him 6 meters in
10 seconds. How much
power was used?
Answers
Answer:
360J/s
Step-by-step explanation:
power=work done/ time
power=600×6/10
=3600/10
=360
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Answers
Answer:
SSS, congruent.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Based on the above chart, which service profession would you choose to enter into if you wanted to ensure that you would have the larg
increase in wages and job availability?
Chart 4. Numeric change in wage and salary employment, service-
providing industry divisions, 1996-2006
A Information
B Financial activities
C Education and health services
D Professional and Business services
Answers
Answer:
Education and health services
Step-by-step explanation:
It has had the most increase over the years, so it will most likely keep increasing and let you get more wages and job opportunities.
A company tests two new products to make sure they last for more than a year. Product 1 had 950 out of 1,000 test items last for more than a year. Product 2 had 150 out of 200 last for more than a year. If you had to choose one of these two products to use for more than a year, which one is more likely to last? Explain your reasoning
30 POINTS GIVE GOOD ANSWER
Answers
Answer:
product one; it has a higher success rate
Step-by-step explanation:
to find out which has a higher rate of success we can find out their percentage of success
we can divide their success amounts by test amounts
950 / 1000 = 95/100 = 95%
150/200 = 75/100 = 75%
product 1 has a higher success rate
The product is more likely to last is mathematically given as
Product 1
What product is more likely to last?
Question Parameter(s):
Product 1 had 950 out of 1,000 test
Product 2 had 150 out of 200 test
Generally, the equation for the percentage success is mathematically given as
Product 1 950 / 1000 = 95/100 x 100 = 95%
Product 2 150/200 = 75/100 x 100 = 75%
In conclusion, the product is more likely to last is
Product 1
Read more about Trade
https://brainly.com/question/15115779
9. The 10,000 seat stadium is 89% full. How many people are watching the game inside the stadium? with solution pls.
Answers
Multiply and fill in the blanks
a) 5pq(p2+ q2+pq)
b) -7pr (pq – qr - rq)
c) (4x-3y) (5x-4a)
with explanation pls !
Answers
The solution to the simplification of the algebraic expressions are;
A) 5p³q + 5pq³ + 5p²q
B) 14pqr² - 7p²qr
C) 20x² - 15xy - 16ax + 12ay
A) We have the expression;
5pq(p² + q² + pq)
Multiplying out using the concept of distributive property, we have;
(5pq × p²) + (5pq × q²) + (5pq × pq)
>> 5p³q + 5pq³ + 5p²q
B) We have the expression;
-7pr(pq – qr - rq)
Multiplying out using the concept of distributive property, we have;
-7p²qr + 7pqr² + 7pqr²
>> 14pqr² - 7p²qr
C) (4x - 3y)(5x - 4a)
By quadratic expansion, we have;
(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)
>> 20x² - 15xy - 16ax + 12ay
Read more about simplification of algebra at; https://brainly.com/question/4344214
Twice a number is 46 less than 4 times the number. Find the number.
Answers
Answer:
23
Step-by-step explanation:
let the number be n then twice the number is 2n and 4 times the number is 4n
Then
2n = 4n - 46 ( subtract 4n from both sides )
- 2n = - 46 ( divide both sides by - 2 )
n = 23
The number is 23
Answer:
34.5
Step-by-step explanation:
23 x 2 = 46 less than 4 times = 11.5
46 - 11.5 = 34.5
PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.
Answers
Hope this helped
At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of pork chops and 12 pounds of ground beef.
Answers
Answer:
Let pork chops and ground beef be x and y respectively.
4x = $12.60
x = $3.15
11x = $34.65
5y = $10.25
y = $2.05
12y = $24.60
11x + 12y = $34.65 + $24.60
= $59.25
It was in -5 degrees Celsius Copenhagen and -10 degrees Celsius in Oslo. Which city was
colder?
Answers
Answer:
Oslo
Step-by-step explanation:
The farther the number from zero at the right hand side, the colder.
So its Oslo
I hope this helps!
TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!
Answers
Answer:
d x 7 = 105
Step-by-step explanation:
Can someone help with this math problem?
Answers
Answer:
Hope it will help you a lot.
Consider the following conversation.
Paul: Alsafat telling a lie.
Alsafat: I am telling a lie.
Emman: Paul telling a lie.
Suppose that exactly one of them telling a truth. Who is telling a truth?
Answers
Answer: Emman is telling the truth because no one is saying that he is telling a lie.
Step-by-step explanation:
The function g(x) undergoes a vertical stretch of 2, a horizontal shift to the right 3 units, and a vertical shift up 1 to become f(x). Which equation describes f(x).
F(x) = 2|x + 3|- 1
F(x) = 2|x - 3| + 1
F(x) = 2|x - 3| + 1
F(x) = 2|x- 3| - 1
Answers
Answer:
NONE OF THE OPTIONS GIVEN
Step-by-step explanation:
F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape
I believe it should be f(x) = 2(x - 3) + 1
if g(x) = x
here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.
The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.
You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you buy? answer
Answers
Answer:
4
Step-by-step explanation:
Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40
then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)
So you do 3.40/0.85 which is equal to 4
) f(x) = 4x + 5, g(x) = 2/x;
Find (g • f)(3).
Answers
[tex]\text{Given that,}\\\\f(x) = 4x+5,~~~g(x) = \dfrac 2x\\\\\\f(3) = 4(3) +5 = 12 +5 = 17\\\\\\(g\circ f)(3)=g(f(3))=g(17)=\dfrac 2{17}[/tex]
Answer:
The answer is 2/17
Step-by-step explanation: Can I get brainliest again my answer was deletedee
If 8 boys are arranged in a row, what is the probability that 3 boys will sit together?
Answers
Answer:
100% if you have 8 boys in a row the change that three boys will sit next to each other is 100%
Hope This Helps!!!
Answer:
i think probably 3/28 ,that 3 boys will sit together
Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answers
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
What is the answer to this question in SSS, SAS, AA, or none
Answers
Answer:
Step-by-step explanation:
40/32 ?=? (40 + 12.5) / (32 + 10)
1.25 ?=? 52.5 / 42
1.25 = 1.25
similar via SAS
pls help quick
plssss
plssssss
Answers
The third year would be 20.
Solve the evens and I will mark you brainliest when available.
Answers
Answer:
The solution is in the photo
Approximately what portion of the circle is shaded blue?
A. 2/5
B. 2/3
C. 1/3
Answers
Please look for the question in the picture.
Answers
Answer:
I beleive the missing value is -3
Step-by-step explanation:
if you plug -3 into the pink box it will give you the result of -5
(anyone is free to correct me)
QUESTION 15 PLEASE HELP ME ASAPP
Answers
Answer:
The line shifted up 8 units
Step-by-step explanation: