Answers
Answer:
d. KL LM MK
Step-by-step explanation:
side opposite to the smallest angle is the shortest side and the side opposite to the largest angle is the longest side.
57 + 64 = 121
180 - 121 = 59
angle K is 59 degrees
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Related Questions
The Weeks' family goes out to eat and the total bill was $72.48. If they want to leave an 18% tip, how much extra money should they leave the waitress?
Answers
Answer:
Step-by-step explanation:
13.05
Answer:
13.05
Step-by-step explanation:
Please solve this question.
Answers
Answer: see proof below
Step-by-step explanation:
Use the Cofunction Identity: sin (90 - A) = cos (A)
Use the Double Angle Identity: sin(2A) = 2 sinA cosA
Use the Triple Angle Identity: cos (3A) = 4cos³A - 3cosA
Use the Zero Product Property: If a · b = 0, then a = 0 or b = 0
Use Pythagorean Identity: cos²A + sin²A = 1 → cos²A = 1 - sin²A
Use Quadratic Formula: [tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Proof LHS → RHS:
Assumption: Let A = 18°
Multiplication: then 5A = 5(18°)
→ 5A = 90°
Expand: 2A + 3A = 90°
→ 2A = 90° - 3A
Apply sin: sin (2A) = sin (90° - 3A)
Cofunction: sin (2A) = cos (3A)
Double Angle: 2 sinA cos A = cos (3A)
Triple Angle: 2 sin A cos A = 4cos³A - 3cos A
→ -4cos³A + 3cos A + 2sinA cos A = 0
Factor: cos A(-4cos² A + 3 + 2sin A) = 0
Zero Product Property: cos A = 0 or -4cos² A + 3 + 2sin A = 0
↓
Disregard (since cos A ≠ 0)
Pythagorean: -4cos² A + 3 + 2sin A = 0
→ -4(1 - sin² A) + 3 + 2sin A = 0
→ -4 + 4sin² A + 3 + 2sin A = 0
Simplify: 4sin² A + 2sin A - 1 = 0
a=4 b=2 c= -1
[tex]\text{Quadratic Formula:}\qquad \sin A=\dfrac{-(2)\pm \sqrt{2^2-4(4)(-1)}}{2(4)}[/tex]
[tex]=\dfrac{-2\pm \sqrt{4+16}}{8}[/tex]
[tex]=\dfrac{-2\pm \sqrt{20}}{8}[/tex]
[tex]=\dfrac{-2\pm 2\sqrt{5}}{2(4)}[/tex]
[tex]=\dfrac{-1\pm \sqrt{5}}{4}[/tex]
[tex]=\dfrac{ \sqrt{5}-1}{4}[/tex]
[tex]\text{Substitute A = 18:}\qquad \sin 18=\dfrac{ \sqrt{5}-1}{4}[/tex]
What is -3/8 times (-1/7)?
Answers
Please tell me correct and
Answers
Answer:
[tex]\frac{1}{4}[/tex] or [tex]0.25[/tex] (they're the same)
Step-by-step explanation:
First Part:
[tex]4^{3} = 64[/tex] [tex]8^{2} = 64[/tex] [tex]2 = 2[/tex] Multiply them together: 64 × 64 × 2 = 8192Second Part:
[tex]2^{7} = 128[/tex] [tex]16^{2} = 256[/tex] Multiply them together: 128 × 256 = 32768Wrap it all up:
8192 ÷ 32768 = 0.25 = 1/4I hope this helps!
Amount of Dog Food Eaten
The graph shows the total amount of dog food
that Sophia's dog Nipper eats. Which statement is
NOT correct?
A The data represents a proportional relationship.
B The point (5,2) means that Nipper eats 5 pounds
of dog food in 2 days.
C The point (0,0) has no meaning in this situation.
D The constant of proportionality is 0.4.
Pounds
1 2 3
6 7 8 9 10 11
Days
Answers
At top cruising speed, a shark can swim 6 miles in 1/12 hours. A whale can swim 8 miles in 1/6 hours. which animal can swim faster at top cruising speed? How much faster?
Answers
Answer: 225 tiles
Step-by-step explanation:
Side of tile = 20 cm = 0.2 m
Side of bathroom = 3 m
Area of tile = 0.04 m²
Area of bathroom = 9 m²
No. of tiles = Ar (bathroom) / Ar (tile)
= 9 / 0.04
= 9 x 25
= 225 tiles
From a hot-air balloon, Daniel measures a 33^{\circ} ∘ angle of depression to a landmark that’s 1579 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
Use the diagram to answer the following questions
Answers
b. Lines BD and CD
c. No, because they intersect
d. Yes, they intersect at a 90 degree angle
how do I solve this please give a step by step or I am taking the comment down please also this will go for 13 points.
Answers
Answer:
75
Step-by-step explanation:
angles on a straight line always add up to 180 degrees so 180-105 =75
In the given figure, prove that ΔΜΝΟ - ΔΟΡΟ.
Answers
Answer:
MNO ~ OPQ by AAA (Angle angle angle)
Step-by-step explanation:
1. angle POQ is equal to angle NOM because they are both vertical angles
2. angle OPQ and angle OMN are equal because parallel lines cut by a transversal form congruent alternate interior angles.
3. angle PQO and angle ONM are equal becase of the same reason as reason 2 (parallel lines cut by a transversal form congruent alternate interior angles. )
4. triangles MNO ~ OPQ through AAA (angle angle angle)
What is the name of this polygon?
rectangle
square
trapezoid
rhombus
Answers
Answer:
trapezoid
Step-by-step explanation:
since the figure has only 1 pair of parallel sides then it is a trapezoid
Answer:
rhombus
Step-by-step explanation:
7-^3
Simplify this expression. Use 7 as the base.
Answers
What is the square root of 250,000
Answers
Answer:500
Step-by-step explanation:
√250000=500
Answer:
[tex] \sqrt{250000} \\ \sqrt{500} \times \sqrt{500 } \\ { \sqrt{500 } }^{2} \\ 500[/tex]
500 is your answerHope it helps you ☺️☺️Thank you ☺️☺️
is one over one-third a unit rate
Answers
Answer: NO it is not a unit rate
Step-by-step explanation:
No, a unit rate is the amount for 1 item or unit. and 1/ 1/3, 1/3 is on the bottom
1/3≠1 so no
A petting zoo owner is building an enclosure for his farm animals. He needs 353 feet of fencing. The supply store sells fencing in pieces 12 feet long. How many pieces of fencing will he use?
29
29
30
30
Answers
Answer:
The answer is 29
Step-by-step explanation:
353/12 =29.41. But you will have to round down to 29 since 29.41 is below 29.5. Thus, the answer is 29.
which one is not equivalent to 9/12: 15/20, 24/32, 16/24, 6/8
Answers
Answer: 16/24
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
4 in
4 in
5 in
5 in
8 in
B in
3 in
11 in
Answers
Answer:
I will help you figure it out. Multiply all the numbers together: And you'll get; 21,120 in.
Hope this helps! Rate Brainiest!
-Aslina
can someone help plz
Answers
Answer:
the second picture answer is F.56
Step-by-step explanation:
if you add 16 + 40=56
please help : Five baskets contain a total of 120 apples. The first and second baskets have a combined total of 62 apples. The second and third baskets have a combined total of 53 apples, the third and fourth baskets have a combined total of 45 apples, and the fourth and fifth baskets have a combined total of 42 apples. How many apples are in each basket?
Answers
The number of apple in each basket is as follows:
First basket = 25 apples
Second basket = 37 apples
Third basket = 16 apples
Fourth basket = 29 apples
Fifth basket = 13 apples
Total apples in the five baskettotal apples = 120
let
the number of apples in the first basket = a
the number of apples in the second basket = b
the number of apples in the third basket = c
the number of apples in the fourth basket = d
the number of apples in the fifth basket = e
Therefore,
a + b = 62
b + c = 53
c + d = 45
d + e = 42
a + b + c + d + e = 120
62 + 45 + e = 120
e = 120 - 62 - 45
e = 13
d = 42 - 13
d = 29
c = 45 - 29
c = 16
b = 53 - 16
b = 37
a = 62 - 37
a = 25
Therefore,
the number of apples in the first basket = 25
the number of apples in the second basket = 37
the number of apples in the third basket = 16
the number of apples in the fourth basket = 29
the number of apples in the fifth basket = 13
learn more on algebra here: https://brainly.com/question/21318615
40% of 1,380.00
Help md pls
Answers
We first create two simple equations with data we know.
1380 equals 100%, so we can save it as 1380 = 100%
The value we are looking for can be called x
We now know that x is 40 of the output value, so we can write it as x = 40.
So we have two simple equations:
1) 1380=100%
2) x=40%
When we compare these two equations, we get:
1380/x=(100%)/(40%)
Now we just have to solve the simple equation.
We calculate 40 percent of 1380:
1380/x=100/40
(1380/x)*x=(100/40)*x
1380=2.5*x
1380/2.5=x
552=x
x=552
Solution:
40 percent o 1380=552
xavier is working two summer jobs, making $14 per hour life guarding and $15 per hour tutoring. Xavier earn at least $170 this week. write an inequality that would represent the possible values for the number of hours life guarding l, and the number of hours tutoring t, that Xavier can work in a given week.
Answers
Answer: 14I + 15t ≤ 170
Step-by-step explanation:
Let I be the number of hours life guarding, and t be the number of hours tutoring(stated in the questions). At least is means this number is greater or equal to, which used the symbol ≤.
14I + 15t ≤ 170
Is 831 divisible by 3?? Yes or no
Answers
yes 831 is divisible by 3
One way I know this is because when adding all the digits in the number you get 12 which is divisible by 3
Also if you do divide 831 ÷ 3 it would equal 277
Answer:
yes or true
Step-by-step explanation:
Question 2 of 5
Which transformation was applied to ABCD to transform it to EFGH?
A. Rotation about the origin
ОО
B. Reflection over the yaxis
C. Translation
D. Reflection over the x-axis
Answers
Step-by-step explanation:
Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
i hope it can help. thanks
Answer: The answer is C
Step-by-step explanation:
Lina has 12 coins in her purse. D of them are dimes and the rest are quarters.
How many quarters does Lina have?
How much money does Lina have in quarters?
Answers
Answer:
she has 12 - D quarters.
She has 24 (12-D) cents in quarters
Step-by-step explanation:
You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.
If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.
and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.
Answer:
she has 12 - D quarters.
Step-by-step explanation:
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answers
Answer:
The original price of the toaster is 2000
Step-by-step explanation:
Given: Toaster price = 2240
VAT = 12%
VAT amount = ?(I'll include this one)
Assume the original price be x.
Let the original price be x
Then, x + 12% of x = 2240
x+12/100x x = 2240
100x+12x/ 100= 2240
112x/100=2240
112x = 2240 x 100 ⇒ 224000
x = 224000/112
x = 2000.
So, the original price of toaster = Rs. 2000.
The VAT amount = 2240 - 2000 ⇒ Rs. 240.
The VAT amount is Rs. 240.
-1/2 multiplied by 1/5
Answers
Answer:
-1/10 or -0.1
Hope this helps!
HELP HAVING BAD DAY A line passes through the points A(–1, 7) and B(1, 3). a Find the slope of the line.
Answers
Answer:
the slope is -2
Step-by-step explanation:
if you move the x by 2, you would see a decrease in the y by 4. 2/-4 = -2.
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answers
Answer:
discount = 25%
Step-by-step explanation:
discount is calculated as [tex]\frac{reduction}{original}[/tex] × 100%
reduction = 2800 - 2100 = 700
discount = [tex]\frac{700}{2800}[/tex] × 100% = 0.25 × 100% = 25%
Select the correct answer.
Which function defines ?
A.
B.
C.
D.
Answers
Answer:
B
Step-by-step explanation:
(g - f)(x)
= g(x) - f(x)
= log(x - 3) + 6 - ([tex]\sqrt[3]{12x+1}[/tex] + 4)
= log(x - 3) + 6 - [tex]\sqrt[3]{12x+1}[/tex] - 4 ← collect like terms
= log(x - 3) - [tex]\sqrt[3]{12x+1}[/tex] + 2
Value of the given function[tex](g-f)x = log(x-3)-\sqrt[3]{12x+1} +2[/tex].
What is function?" Function is defined as the relation between the given variables is such that every input has exactly one output each."
According to the question,
Given functions are,
[tex]f(x) = \sqrt[3]{12x+1} +4\\\\g(x) = log(x-3) +6[/tex]
Substitute the value in the function (g -f)x we get,
[tex](g-f)x = g(x) -f(x)[/tex]
[tex]= log(x-3) + 6 -( \sqrt[3]{12x+1} +4)\\\\= log(x-3) + 6 -\sqrt[3]{12x+1} -4\\\\= log(x-3) -\sqrt[3]{12x+1} +2[/tex]
Hence, Option(B) is the correct answer.
Learn more about function here
https://brainly.com/question/12431044
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i am a but confused on this question i think the answer is 51 but i’m not sure?? can someone tell me if i’m correct or not. If not please explain! Luv y’all i will mark you brainliest
Answers
Answer:
The value of the expression for x=3 is 51
Step-by-step explanation:
Evaluating expressions
To evaluate a given expression, we simply substitute the value of the variables and complete the operations.
The expression to evaluate is:
P=3(2+5x)
We will evaluate for x=3:
P=3(2+5*3)
The product must be done first:
P=3(2+15)=3*17=51
The value of the expression for x=3 is 51