Answer:2(21a+16)
Step-by-step explanation:
Given that sin 60° ≈ 0.866, write the
cosine of a complementary angle
Answer:
Step-by-step explanation:
Complement to 60° = 30°
cos(30°) = sin(60°) = 0.866
Answer:
0.866.
Step-by-step explanation:
We use the identity
sin x = cos (90-x)
So the cosine of the complementary angle is also 0.866.
See attached an good explaination would be appreciated
Answer:
Y=X
Step-by-step explanation:
It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.
How do I solve 3(x−9)=30
Answer:
x = 19
Step-by-step explanation:
use the distributive property
3(x - 9) = 30
3x - 27 = 30
+27 +27
3x = 57
divide by 3
x = 19
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Answer:
The value of x is 19.
Step-by-step explanation:
The steps are :
3(x- 9) = 30
3(x - 9) ÷ 3 = 30 ÷ 3 [eliminate 3 on left side]
x - 9 = 10
x - 9 + 9 = 10 + 9 [eliminate -9 on left side]
x = 19
Please help me solve this!!!
V=1/3bh
Answer:
What?
Step-by-step explanation:
Okay, the formula, then what?
Answer:
the answer is v=bh/3
Step-by-step explanation:
I solve for V since you didn't put what letter you wanted the question to be solved for.
hope this helps.
Which set of measurements could not represent the side lengths of a right triangle?
A 16 ft, 30 ft, 34 ft
B 9 ft, 12 ft, 15 ft
C 7ft, 24 ft, 25 Ft
D 5ft. 7 ft, 12 ft
The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.
What is a right triangle?The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.
Given that, the set of measurements representing the side lengths of a right triangle,
We will check the measurements by seeing if they are following the Pythagoras theorem or not,
Option A)
16 ft, 30 ft, 34
16²+30² = 1156 = 34²
∴ 16²+30² = 34²
Option B)
9²+12² = 225 = 15²
9²+12² = 15²
Option C)
7²+24² = 625 = 25²
7²+24² = 25²
Option D)
5²+7² = 74 ≠ 12²
Since, 5ft. 7 ft, 12 ft set of measurements are not following the Pythagoras theorem.
Therefore, it's not a right triangle.
Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.
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Order the following set of rational numbers from least to greatest: -8, -19, 0, 1/2, 1/4
Answer:
[tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]
Step-by-step explanation:
Skills required: Ordering a set of numbers
1) [tex]-8,-19,0,\frac{1}{4}, \frac{1}{2}[/tex] are the numbers we are given. There are 2 important things to think about when ordering this set.
Negative numbers (the numbers with a "-" sign in front of it) are always less than 0. Negative numbers are: -1, -5, -67, -990Positive numbers (the numbers without a "-" sign in front of them) are always greater than 0. Positive numbers are: 1, 3, 45, 672) Based on this, we can split the 5 numbers into 3 groups:
The negative group: -8,-19The special group: 0The positive group: [tex]\frac{1}{2}, \frac{1}{4}[/tex]3) Starting with the negative group, we can easily find which number is greater.
-1 is greater than -2.
-23 is greater than -35.
Based on this: -8 is greater than -19. That means when ordering our numbers, -8 is the first number, and -19 is the second number
4) 0 is the 3rd number, since it is less than positive numbers and greater than negative numbers
5) Now onto the positive numbers, which is also easily solvable.
When you have two fractions, there are different ways to find out which fraction is greater than the other. I will show you 2 different ways here.
Do division. [tex]\frac{1}{4}[/tex] is 1 ÷ 4 and [tex]\frac{1}{2}[/tex] is 1 ÷ 2. So, generally, given a fraction [tex]\frac{x}{y}[/tex], you would do x ÷ y to find the decimal form. If you know how to compare decimals, this is a good way. 1 ÷ 4 is 0.25 and 1 ÷ 2 is 0.5, and 0.5 is greater than 0.25, making [tex]\frac{1}{2}[/tex] greater than [tex]\frac{1}{4}[/tex] Compare denominators. So, these two fractions have the same numerator of 1. To find out which is greater, we can look at the denominators. If 2 fractions have the same numerator, the one with a lower denominator is greater, when looking at positive numbers. 2 is less than 4, so [tex]\frac{1}{2}[/tex] is greater than [tex]\frac{1}{4}[/tex]This means that [tex]\frac{1}{4}[/tex] is the 4th number, and [tex]\frac{1}{2}[/tex] is the 5th term.
Our ordered pair would then be: [tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]
Hope this helps and have a nice day!! :) :] :D
A ball is thrown into the air with an initial upward velocity of 48 feet/second. If height h in
feet after t seconds is given by the function h(t) = – 16t2 + 48t + 4.
a) What height will the ball be when 2 seconds has passed?
b) In how many seconds will the ball reach its maximum height?
c) What is the ball’s maximum height?
Answer:
Step-by-step explanation:
after 2 seconds the ball would be 96 feet in the air
in 9 seconds will it reach its max height
max height=136ft
1.1
Consider the following pattern:
87; 84; 81 ...
1.1.1 Find an expression for the nth term of the
sequence
(3)
Answer:
The nth term of the arithmetic sequence is;
90 - 3n
Step-by-step explanation:
Here, we want to find an expression for the nth term of the sequence
Mathematically, let us determine the type of sequence
As we can see;
84 - 87 = 81-84 = -3
The difference between the terms is a constant; this means that the sequence is arithmetic
The nth term of an arithmetic sequence can be represented by;
Tn = a + (n-1)d
in this case, a is the first term of the sequence = 87
d is the common difference of the sequence = -3
The nth term is thus;
Tn = 87 + (n-1)-3
Tn = 87 - 3n + 3
Tn = 87 + 3 - 3n
Tn = 90 - 3n
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.4.
The scale factor is 0.9.
The scale factor is 2.1.
The scale factor is 2.5.
Answer:
The scale factor is 2.5
Step-by-step explanation:
took k-12 test
When a shape is dilated, the size of the shape changes
The true statement is (d) The scale factor is 2.5.
What is dilation?Dilation involves changing the size of a shape or figure
How to determine the scale factorIn figure A, we have:
Length = 0.6
In figure B, we have:
Length =1.5
The scale factor is then calculated as:
[tex]k = \frac{1.5}{0.6}[/tex]
Divide
[tex]k = 2.5[/tex]
Hence, the true statement is (d) The scale factor is 2.5.
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What decimal is equivalent to 10/3?????
Answer:
That would be 3.0
Step-by-step explanation:
Hope this helps!
Have a nice day :)
Answer:
3.3333...
Step-by-step explanation:
Hope this helps :)
The population of a certain bacteria doubles every 24 hours. How many times as great is the population after 5 days as the population was at the start?
Answer:
32 times as many bacteria after 5 days
What is the equation for the axis of symmetry of the graph of this function?
F x = -3
G y = -3
H x = -5
J y = -5
Determine the center and radius of the following circle equation: x² + y2 + 2x – 2y – 62 = 0
Step-by-step explanation:
x²+2x+y²-2y=62
using completing the square
x²+2x+1+y²-2y+1=62+1+1
(x+1)²+(y-1)²=64
(x+1)²+(y-1)²=8²
(x-a)²+(y-b)²=r²
by comparison
(a,b)=(-1,1)
a,b is the center of the circle
r=8unit
r is the radius
Write an equation of the perpendicular bisector of the segment with endpoints
(−1, −5) and (3, −1).
HELP!!
Answer:
Step-by-step explanation:
Midpoint of line segment = (1,-3)
Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2
Perpendicular bisector:
y+3 = ⅔(x-1)
y = ⅔x - 11/9
Please answer. Thank you.
17. Find the value of x. Round to the nearest degree. (2 points)
Answer:
x = 51°Step-by-step explanation:
Use sine:Sine = opposite __________ hypotenuse We have:Opposite = 7Hypotenuse = 9 Substitute: Sin x° = 7 ___ 9 Sin x° = 0.777....Sin x = 0.7778 = x = 51°Given: y= 2x + 1 and - 4x + y = 9,
solve the system by substitution
Answer:
x=-4 y=-7
Step-by-step explanation:
-4x+y=9 get y alone
add 4x both sides
y=4x+9
insert into y=2x+1
2x+1=4x+9
subtract 1 both sides
2x=4x+8
subtract 4x both sides
-2x=8
divide by -2
x=-4
y=2x+1
y=2(-4)+1
y=-8+1
y=-7
check
-4(-4)+(-7)=9
-16+(-7)=9
9=9
x=-4
y=-7
gl
Question 4 The 6th grade class is raising money for a camping trip to the mountains. So far they have raised $900, which is 60% of the total cost. How much money does the total trip cost?
Answer:
1500
Step-by-step explanation:
Total cost would be 60%+40%
Since we have 60% amount already
0.60* total cost=900
total cost=90000/60
=1500
find the mean absolute deviation of the data set {6,9,12,8,10}
Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2
Given:
The point is B(2,5) and its image is B'(1,2.5).
To find:
The scale factor.
Solution:
If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as
[tex]k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}[/tex]
x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is
[tex]k=\dfrac{1}{2}[/tex]
Therefore, the scale factor is [tex]\dfrac{1}{2}[/tex] and the correct option is D.
identify 2 possible reasons for unemployment
Answer:
Pandemic, Loss In family
Step-by-step explanation:
The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.
(Hope this helps)
Yours Truely, TheAnimeCatUwU
Solve each system by substitution y=-2
5x + 2y = 16
Answer:
the answer is 4
Step-by-step explanation:
5x=16+4
5x=20
X=4
Simplify
5т — п — 5п + 2
Answer:
5t-4n+2
Step-by-step explanation:
n-5n=-4n
5t-4n+2
plz help will give brainliest
CDE is reflected over the Y- Axis
Answer:
The answer to this question is A
The new coordinates will be C( 3 ,0), D( 7,1) , E(2,4) , Option A is the correct answer.
What is the meaning of Reflection ?When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.
The figure is given in the question.
The coordinates of the figure is
C( -3 ,0)
D( -7,1)
E(-2,4)
When reflection is done along any axis , the coordinates of the other axis change sign.
so in this case ( x,y ) -----> ( -x,y)
The new coordinates will be
C( 3 ,0)
D( 7,1)
E(2,4)
Therefore Option A is the correct answer.
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Which set of ordered pairs does not represent a function?
A\{(5, -1), (-3, -3), (8, 4), (4, -3)\}{(5,−1),(−3,−3),(8,4),(4,−3)}
B\{(-6, -7), (-3, -3), (-2, -8), (-6, 4)\}{(−6,−7),(−3,−3),(−2,−8),(−6,4)}
C\{(-2, 1), (-8, 0), (6, 7), (8, 7)\}{(−2,1),(−8,0),(6,7),(8,7)}
D\{(5, -3), (-6, 2), (-5, 3), (1, 2)\}{(5,−3),(−6,2),(−5,3),(1,2)}
Answer:
option B
Step-by-step explanation:
you cannot have one input and 2 outputs.
(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction
ANSWER QUICK BESTIES!! ty
Answer:
Option B
Step-by-step explanation:
Option A, C and D have x- values that repeat and you cannot have that.
Y values can repeat but not x-values.
Option B has all x values with different y-values
Answer:
B.
Step-by-step explanation:
an output can have more than one input but an input can only have one output
basically only one arrow can go from the input to the output and b is the only one who's graph thing is like that
hope this helps <3
Discuss the history of algebra. Discuss some of the key developments in the field of algebra and discuss who the contributors were? Provide a timeline of these key developments 4 paragraphs plz i'll give branliest 50 points i need this plzz
History of algebra
Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).
This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.
Given ADE with AD= 5 centimeters, BD= 3 centimeters and DE= 10 centimeters
What is the length of BC?
A. 6 2/3 cm
B. 5 cm
C. 4 cm
D. 6 cm
Answer:
BC is 4
Step-by-step explanation:
Use a proportion to solve
AB is 2 (AD is 5 and BD is 3- so 5-3)
[tex]\frac{2}{x} = \frac{5}{10}[/tex]
[tex]5x=20\\x=4[/tex]
26x + 13y = 39
.
Rearrange this equation so it is in the form y = mx + b
After you have rearranged the equation, identify the slope and the y-intercept.
If x = 6, what should y =? Show all necessary work and steps. Round any decimals to
1 place as necessary.
If y = -1, what should x =? Show all necessary work and steps. Round any decimals
to 1 place as necessary.
Answer:
Rearrange: y=-2x+3
if x=6 then y = -9
if y=-1 then x = 2
Step-by-step explanation:
Algebra
to rearrange here are the steps
26x+13y=39
First move x to other side by subtraction
13y= -26x+39
to get y as just y divide everything by 13. Since 13/13=1 or 13y/13= y
y=-2x+3
Can Somebody help me real fast?