Answer:
-√5/5
Step-by-step explanation:
Given the following
sin(A) = 4/5
sinB - -2√5/5
SinA = 4/5 = opp/hyp
We can get cosA
opposite = 4
hypotenuse = 5
Adj = √5²-4² (pythagoras theorem)
Adj = √25-16
Adj = √9
Adj = 3
Cos A = Adj/hyp
Cos A = 3/5
Also
Sin B = -2√5/5 = opp/hyp
opposite = -2√5
hypotenuse = 5
Adj = √5²-(2√5)² (pythagoras theorem)
Adj = √25-20
Adj = √5
Cos B = Adj/hyp
Cos B = √5/5
Evaluate cos (A-B)
cos (A-B) = cosAcosB + sinAsinB
cos (A-B) = 3/5(√5/5)+4/5(-2√5/5)
cos (A-B) = 3√5/25 - 8√5/25
cos (A-B) = -5√5/25
cos (A-B) = -√5/5
Hence the value of cos (A-B) is -√5/5
what would the perimeter of this shape if we enlarged it by a scale of 2.5?
Answer:
260m
Step-by-step explanation:
32 would be=80
20 would be=50
80+80+50+50=260
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A patient requires a 30% decrease in the dosage of his medication. His current dosage is 340 mg. What will his dosage be after the decrease?
Answer:
238
Step-by-step explanation:
340 times 0.7 is 238
Answer:
238
Step-by-step explanation:
30% of 340
30/100×340
3/10×34
3×34
102 is the decrease
So,340-102
=238
BRAINLIEST IF CORRECT
A state offers two lottery games, Winone and PlayBall. Both games cost $2 per ticket.
• In Winone, the player picks a single letter from A to J and a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $150.
• In PlayBall, the player picks a single letter from A to T and a single digit from 0 to 9. If both the letter and the digit match the letter and the
digit picked on that day, the player wins $280.
If the prize for WinOne were increased to $200 for matching both the letter and the digit, what would the expected value be?
ОА.
-$0.80
OB. $0.65
C. $0
OD. $0.80
Maya is 14 years old. Her brother Jorge is 3 years more than half her age. Which of the following is the correct expression for Jorge's age?
The correct expression for Jorge's age is (14 ÷ 2) + 3
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, Maya is 14 years old. Her brother Jorge is 3 years more than half her age.
We need to determine an expression for Jorge's age,
So, If you divide her age by two and add 3 then you will get Jorge age and that is what the question is asking,
i.e. (14 ÷ 2) + 3
Hence, the correct expression for Jorge's age is (14 ÷ 2) + 3
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A cylinder has a diameter of 20cm.
The height of the cylinder is 3/5 the length of the diameter.
Calculate the volume of the cylinder in terms of π
Answer:
V = 1200π
Step-by-step explanation:
Volume of a cylinder formula:
V = πr²hLet's find the height of the cylinder by multiplying 20 cm by 3/5.
20 * 3/5 = 60/5 = 12 cmThe radius is 1/2 of the diameter, so:
20 * 1/2 = 20/2 = 10 cmSubstitute 12 for h and 10 for r into the volume formula.
V = π(10)²(12)Simplify.
V = π * 100(12) V = π * 1200The volume of a cylinder, in terms of π, is V = 1200π.
Can someone help me plzz??
Answer:
(0,20)
Step-by-step explanation:
1) we can represent the situation as coordinates
lets have # of texts be "x" variable
lets have bill be "y" as the y variable is always the dependant variable and the cost of the phone bill is dependant upon the number of texts so
y=mx+b-slope-intercept form
coordinates: (50,25) and (100,30)
slope: (30-25)/(100-50)
5/50=1/10
hence slope=1/10
y=1/10x+b
substitute in a coordinate pair into this equation
25=50*1/10+b
25=5+b
b=20
hence y intercept is (0,20)
A triangle has two angle measures of 20 degrees and 30 degrees. Find the third angle. This triangle is a(n) ________ triangle
options: acute obtuse right it does not make a triangle
Answer: obtuse
Step-by-step explantion: 20+30=50 180-50=130 130 is an obtuse angle.
Please help me if you can.
Answer:
Step-by-step explanation:
DEFINITIONS
Standard Form: a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
Monomial: a polynomial which has only one term.
Binomial: a polynomial that is the sum of two terms, each of which is a monomial.
EXAMPLES
Standard Form: 2x+3y=5 (Ax + By = C)
Monomial: 2x^2, 4y, etc.
Binomial: 3x + 5
Pleaseee helppp!!!!! Will mark Brianliest !!!!!!!!!!!!!!
D) None of the above, since it is not a closed figure.
Brody set his watch 1 second behind, and it falls behind another 9 seconds every day. Write
an equation that shows the relationship between the days since watch was last set x and the
seconds behind y.
Write your answer as an equation with y first, followed by an equals sign.
Answer is you know this?
Answer:
y = -1 - 9x
Step-by-step explanation:
Brody's watch is already 1 second behind (the constant), and it falls behind 9 more seconds for every day (x).
2) 2.25 is 62.5% of what number?
Answer:
250
Step-by-step explanation:
250 ÷ 400 = 0.625 = 0.625 × 100/100 = (0.625 × 100)/100 = 62.5/100 = 62.5% Answer: Percentage of 62.5% of what number = 250?
The required number whose 62.5% is 2.25 is given as 3.6.
Given that,
To determine the number whose 62.5% is 2.25.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given that,
Let the number be x,
According to the condition,
62.5% of x = 2.25
0.625x = 2.25
x = 2.25/0.625
x = 3.6
Thus, the required number whose 62.5% is 2.25 is given as 3.6.
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93% of what number is 25?
Answer: The answer is 327
Explanation: 93×100/25 = 327
A little girl is looking to select one crayon and one coloring book to do some drawing. She has 6 different colored crayons and 3 coloring books. How many different combinations of crayons and coloring books can she make if she selects one crayon and one coloring book to use?
A windowpane is 20 centimeters tall and the diagonal distance from one corner to the other is
25 centimeters. How wide is the windowpane?
centimeters
Answer:
The windowpane is 15 centimeters wide.
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
20^2 + b^2 = 25^2
400 + b^2 = 625
b^2 = 225
b = 15
Which best explains why the equation y=2x+3 does or does not represent a proportional relationship?
Answer:
It represents a non-proportional relationship
Step-by-step explanation:
because in order for it to be proportional it has to pass (0,0) but this equation's y-intercept is (0,3).
The above problem has completed the first step, distributing both sides of the equation.
Finish the problem and determine the value of x.
solve for -5x < 2 step by step
Answer:
x > -2/5
Step-by-step explanation:
To solve this, you need to divide -5 on both sides to isolate x.
-5x < 2
x > -2/5
Because we divided by a negative number, the sign has to change direction.
Pls explain how you got the answer also ☺️
Answer: x = 250
Step-by-step explanation:
-17 + x/5 = 33
+17 on each side to get rid of the 17
x/5 = 50
Multiply each side by 5 to cancle out the 5 and isolate the variable
x = 250
(-1/2 + 5/2) + a =0 solve for a
Answer:
a = -2
i hope this helps
Answer: a = - 2
Step-by-step explanation:
[tex]\bigg (-\dfrac{1}{2} +\dfrac{5}{2} \bigg )+ a=0\\\\ \dfrac{4}{2} +a=0\\\\2+a=0\\2+a-2=0-2\\a=-2[/tex]
At Trace State Park in Mississippi, there is a 40-mile mountain bike trail. Tommy rode 1/2 of the trail on Saturday and 1/4 of the trail on Sunday. He estimates that he rode more than 22 miles over the two days. Is Tommy’s estimate reasonable? Justify your reasoning !
Answer: 17.5 out of 25
I hope this helped
Step-by-step explanation:
Can someone help with this 25 point
1,2,3
Answer:
(if violation occurs in an active work zone, 15-day suspension).
Step-by-step explanation:
Simplify. 4(w-5)-6w please help ASAP
Answer:
-2w-20
Step-by-step explanation:
distribute => 4w-20-6w = -2w-20
Answer:
-2w - 20
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
4(w - 5) - 6w
Step 2: Simplify
Distribute 4: 4w - 20 - 6wCombine like terms: -2w - 20In which of the following sets can each
number only be classified as rational?
A {0, - 18 , 124, -3, 3)
B {3.5, -4, 23.8, -1.2, 0}
C {-5, 13, 233, 42,3)
D {-7.75, -5.8, 0.125, 4, 21}
cups of water fill 4 identical water bottles. How many cups fill each bottle?
Answer:
.8 or 4/5ths cup
Step-by-step explanation:
divide number of bottles by cups
4 1/2 is 4.5
5 5/8 is 5.625
4.5/5.625 = .8 (or 4/5ths)
Neeeeeeeeeeed helppppppppp plssssssss
Find the y value for the point that divides the line segment XY into a ratio of 1:2. Segment XY is shown. X is at -6, -1 and Y is at 5, 1.
A. −0.3
B. 6.2
C.3
D. 2.8
I believe its -0.3, but I'm not completely sure.
Answer:
-0.3
Step-by-step explanation:
I think it is -0.3 because the other ones wouldn't make any sense if you put in on the number line but I'll come back when I finish the test to tell you if its right :)
Edit** It is correct I just took the test :)
For the point that divides the line segment XY into a ratio of 1:2,
Y value is -0.3.
Option A is correct
What is section formula?In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and ex-centers of a triangle.
Given point
X = ([tex]x_{1},y_{1}[/tex]) = (-6,-1)
Y = ([tex]x_{2} ,y_{2}[/tex]) = (5,1)
Ratio = 1:2
For point (x1, y1) and (x2, y2) on coordinate plane if is divided in ratio of m:n.
Then section formula is given by [tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex].
Using the section formula,
[tex](\frac{mx_{2}+nx_{1} }{m+n},\frac{my_{2}+ny_{1} }{m+n})[/tex]
= [tex](\frac{(1)(5)+2(-6)}{1+2} , \frac{1(1)+2(-1)}{1+2})[/tex]
= [tex](\frac{5-12}{3} ,\frac{1-2}{3})[/tex]
= [tex](\frac{-7}{3} ,\frac{-1}{3})[/tex]
x = -2.3 and y = -0.3
For the point that divides the line segment XY into a ratio of 1:2,
y value is -0.3.
Option A is correct
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Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of elevation to the kite is 25 degrees. What id the distance, b, to the nearest foot marcos is standing from the tree?
9514 1404 393
Answer:
195 ft
Step-by-step explanation:
The relationship between the horizontal distance, angle, and vertical height is given by ...
Tan = Opposite/Adjacent
Referring to the attached diagram, we have ...
tan(16°) = BT/MB
tan(25°) = BK/MB
Solving for BT and BK, we can describe their difference as ...
BT = MB·tan(16°)
BK = MB·tan(25°)
BK -BT = 35 = MB(tan(25°) -tan(16°))
Dividing by the coefficient of MB gives ...
MB = 35/(tan(25°) -tan(16°)) = 35/0.179562
MB = 195 . . . feet
Marcos is standing 195 feet from the base of the tree.
Can someone help (8 grade math)
Answer:
Lateral surface area is the area of the sides, not including the base and top area, while total surface area is the entire surface area (including sides, base, and top).
what is the area of a circle whose radius is 4x centimeters? write your answer in terms of pi.
Answer:
16xpi
Step-by-step explanation:
To find the area of a circle the formula is pi r squared.
r represents radius, aka 4x.
4 times 4 yields 16.
Leaving you with 16xpi
Answer:
50.24
Step-by-step explanation:
A= πr^2
3.14 x 4^2 = 50.24
(4^2=16)
Need this very badly
Answer:
I belive the answer is b
Step-by-step explanation:
hope this helps !!!