Answers
9514 1404 393
Answer:
obtuse
Step-by-step explanation:
The law of cosines tells you ...
b² = a² +c² -2ac·cos(B)
Substituting for a²+c² using the given equation, we have ...
b² = b²·cos(B)² -2ac·cos(B)
We can subtract b² to get a quadratic in standard form for cos(B).
b²·cos(B)² -2ac·cos(B) -b² = 0
Solving this using the quadratic formula gives ...
[tex]\cos(B)=\dfrac{-(-2ac)\pm\sqrt{(-2ac)^2-4(b^2)(-b^2)}}{2b^2}\\\\\cos(B)=\dfrac{ac}{b^2}\pm\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The fraction ac/b² is always positive, so the term on the right (the square root) is always greater than 1. The value of cos(B) cannot be greater than 1, so the only viable value for cos(B) is ...
[tex]\cos(B)=\dfrac{ac}{b^2}-\sqrt{\left(\dfrac{ac}{b^2}\right)^2+1}[/tex]
The value of the radical is necessarily greater than ac/b², so cos(B) is necessarily negative. When cos(B) < 0, B > 90°. The triangle is obtuse.
Related Questions
Write an equation to represent each function.
(image attached)
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This is for my math class
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Answer:
-25 feet
Step-by-step explanation:
We know that the change in altitude for the air balloon is -1500 feet, all within a span of 60 minutes, which then we are asked what is the rate of change.
To find the rate of change, we have to be able to divide a number by both sides that will not give us a decimal or very odd number. To avoid getting a decimal, divide both sides by 60.
-1500/60 = -25
60/60 = 1
So the rate of change would be -25 feet
Rewrite 18y • 4x using the commutative property.
Answers
Answer:
(1)18y x 4x(1)
Step-by-step explanation:
If f(x) = -3x - 2
find f(-7)
Answers
Answer:
19
Step-by-step explanation:
this question means you have to place the value of -7 were there's x in the function.
f(-7)=-3(-7)-2
=21-2
=19
I hope this helps
Find the radius, diameter, circumference and the approximate area for the circle in the image attached. To find the approximate area, please use 3.14 for π. SHOW WORK!
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Diameter: 3cm * 2 = 6cm —> the diameter is a straight line between one end of the circle to the other end through the midpoint. All you have to do is multiply the radius by 2!
Circumference: π • d —> 3.14 • 6 = 18.84cm —> the circumference of a circle is the measurement of the outline
Area: πr^2 = 3.14 • 3^2 = 3.14 • 9 = 28.26cm^2 —> the area is the entire circle!
Hope it helps !
Which of the following information about the graph of the relationship is given?
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One-quarter of the top of a round wedding cake is covered in yellow roses. The top of the wedding cake has a diameter of 12 inches. Each yellow rose covers an area of 0.75 square inch. About how many roses were used to cover this section of the cake?
PLZ ANSWER QUICKLY AND ACCURATLY WILL MARK BRAINLIEST
Answers
Answer:
I believe the answer to your question is 38.
Step-by-step explanation:
Here is what I did: First, I found the radius, and to do that, I did 12 divided by 2, which gave me 6. then I did 6 divided by 2, to find the radius, of the radius I just found. which gave me 3, then I did 3 times 12, which gave me 36, so the answer should be 38 :)
Answer:
8
Step-by-step explanation:
A dozen more than a number minus twice the number
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Please help me asap! I will give brainly!
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Answer:
Water (cups): 14, 28, 42, 56, 70
Lemon Juice (cups): 2, 4, 6, 8, 10
Divide the number of cups of water by 7 to find the number of cups of lemon juice.
Answer:
See photo
Step-by-step explanation:
Completing the rule:
With the water, you add 14 each time. They started at 14 and added another 14 to get 28. Then you add 14 to 28 and get 42, and so on.
with the lemon juice, it’s very similar except you’re adding 2 each time. They started at 2 and added another 2 to get 4. Then you add 2 and get 6, and so on.
The final question:
This last blank is asking what number you divide the water by to get the lemon juice. If we use fact families, you can take the 14 (from water) and divide it by 2 (from lemon juice) to find that 7 is you missing number. You’ll then be able to plug 7 in to the following numbers. 28 divided by 4 is 7, 42 divided by 7 is 6, etc.
A textbook is 14/15 inch thick. How many
textbooks can be stacked on a shelf that is
56 inches high?
Answers
Answer:
60 textbooks
Step-by-step explanation:
1) 56*15:14=60
Answer:
60 textbooks
Step-by-step explanation:
To get the answer, you have to divide 56 by 14/15. What I'd do is id think of 56
as 56/1. I'd change 14/15 into a multiplicative inverse/reciprocal, ending up with 15/14. From there, id multiply 56/1 and 15/14, ending up with 840/14.Using long division, id do 840 divided by 14, ending up with 60.
(PLSS HALP) What is the area of triangle PQR on the grid? (5 square units) (6 square units) (10 square units) (12 square units)
I Will Give Brainliest
Answers
Answer:
6
Step-by-step explanation:
it might be six but can you show me what the chart looks like?
A bouquet of flowers contains D daisies and T tulips and contains a total of F flowers. The number of daisies is two more than the number of tulips. Which equation matches this scenario?
A. D+2T=F
B. F−D+2=T
C. 2D+T=F
D. D+T+2=F
E. D+T=F+2
Answers
Answer: B (F-D+2=T)
Step-by-step explanation:
We know that daisies has 2 more than the tulips. (D+2 = T)
The answer is B
Flowers - Daises + 2 = T
Since daises has 2 more flowers than tulips, thats why theres a (+2)
Ruth bought cupcakes for her sister's birthday party. 14 cupcakes had sprinkles on top. The other 21 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answers
Answer:
40%
Step-by-step explanation:
total cupcakes: 14+21 = 35
Percentage with sprinkles = sprinkles / total
= 14/35
=.4
= 40 %
Answer:
40%
Step-by-step explanation:
14 + 21 = 35
14/35 × 100 = 40
Therefore 40% of the cupcakes had sprinkles
Choose a number line to model the following situation:
After a gain of 25 yards, the football team lost 25 yards on the next play.
Answers
Answer:
Attached below
Step-by-step explanation:
Starting value = 0
Gain +25 = 0 + 25 = 25
Loss = 25 +(-25) = 0
Start = 0 and End = 0
This one :
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
If they gained 25 yards they move up 25 on the number line, if they lost 25 yards after that they move back to having 0 yards
the only graph that models this is:
Help me Guess just help pleaseeeee
Answers
Answer:
A, C, and D are the answers
Find the values for which the statement is true.
lxl=x
Answers
**TIMED** I need help
Answers
Step-by-step explanation:
from what I understand this should be the answer:
x. y
12. 7. Because y=x-5 and 7=12-5
30. 25 Because 25=30-5
15. 10 Because 10=15-5
Answer:
10
Step-by-step explanation:
15-5=10, simple.
What is the Lowest Common Multiple (LCM) of 6 and 95
Answers
Answer:
570
Step-by-step explanation:
Least Common Multiple
The least common multiple (LCM) of two numbers is the smallest number that is even divisible by both numbers.
Hope this helps <3
Answer:
570
Step-by-step explanation:
If g(x) = 1 - ¾ x
find: g(-12)
Answers
Answer:
g(-12) is 10
Step-by-step explanation:
[tex]g(x) = 1 - \frac{3}{4} x [/tex]
when x is -12:
[tex]g( - 12) = 1 - \frac{3}{4} ( - 12) \\ g( - 12) = 10[/tex]
[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(-12) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: -12 \\ \\ \sf \:1 - \frac{3}{4} (-12) \\ \sf \: = 1 - \frac{3}{4} \times -12 \\ \sf \: = 1 + 9 \\ \sf \: = \underline{\bf \: 10}[/tex]
Hope it helps.
RainbowSalt2222
find the surface area of the composite figure. answer asap please :)
Answers
Answer:
144
Step-by-step explanation:
Modeling Real Life
Question:
At a town hall meeting, 37/50 of the members are present. Of those who are present, 1/2 vote in favor of a new park. What fraction of the members do not vote in favor of the new park?
Fraction:_______
Answers
Half 37.5
Put it into a decimal
Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]
Answers
Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
Rearrange the equation so xxx is the independent variable.
-5x-4y=-8
y=
Answers
Answer:
[tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle -5x - 4y = -8[/tex]
Step 2: Solve for x
[Addition Property of Equality] Add 4y on both sides: [tex]\displaystyle -5x = 4y - 8[/tex][Division Property of Equality] Divide -5 on both sides: [tex]\displaystyle x = \frac{4y - 8}{-5}[/tex]Answer:
4y-8/ -5
Step-by-step explanation:
can someone answer this
Answers
Answer:
3-5: 3+(-5) and -5+3
5-3: 5+(-3) and -3+5
Step-by-step explanation:
3+(-5) is 3 plus -5 which is simplified into 3-5
-5+3 can be rearranged to make 3-5
5+(-3) is 5 plus -3 which is simplified into 5-3
-3+5 can be rearranged to make 5-3
3+(-5)
Second
5+(-3)
does anyone on here use FLVS?? If so can u help with comprehensive science 5.06 conclusion part?
Answers
I will rate 5 stars to anyone who answers first. A number cube is rolled. What is the probability that a number greater than 4 will be rolled? (5/6), (1/3), (2/3) (1/6).
Answers
Answer:1/3
Step-by-step explanation:
There are 6 sides and 2 numbers more than 4
Put that info into a fraction 2/6
Then simplify 1/3
The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons. What was the total paper waste generated over these two years in the region, expressed in scientific notation?
91.8 ⋅ 107 tons
91.8 ⋅ 1014 tons
9.18 ⋅ 1014 tons
9.18 ⋅ 107 tons
Answers
Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]
Step-by-step explanation:
Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.
Then, the total paper waste generated over these two years in the region :-
[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]
In scientific notation,
[tex]91,800,800 = 9.18 x 10[/tex]⁷
Hence, the total paper waste generated over these two years in the region =
[tex]9.18 x 10[/tex]⁷ [tex]tons[/tex]
I hope this answer helps you out. Brainliest would be appreciated. Have a nice day :D
Please help me on this question.
Answers
Answer:
a(n)= 120(1/2)^(n-1)
Step-by-step explanation:
60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2
a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)
Answer:120(1/2)^(n-1)
Step-by-step explanation:
60*x=120, x=60/120=1/2 so the sequence goes by a ratio of 1/2
a(n)=b(c)^n-1 and c=1/2. b= a(1)=120 so the formula is a(n)= 120(1/2)^(n-1)
Are x and y inversely proportional in the table below?
x: 0.1 0.3 25 100
y: 200 40 0.8 0.2
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Example: if you don’t believe me check for yourself :)
HELP this stem and leaf plot represents test scores of students in a math class if two test score 68 and 75 are added to the data which statement will be true
Answers
First you would need to find the median, mode, and range.
60 68 68 71 71 72 75 75 75 83 83 85 87 87 89 90 95 95 98 98
due to no answer choices, I am going to show you the basics of the plot before the 2 scores are added.
Answer:
Option A) The Median will change; the mode will stay the same
Step-by-step explanation:
Just did the Test on T4L and got it right :) Hope this helped (Pls mark me as brainliest)
