What are the exact values of a and b
d) a = 5 ; b = 5√3
Step-by-step explanation:Hi there !
30°-60°-90° Theorem
side opposite the 30° angle = a side opposite the 60° angle => b = a√3 side opposite the 90° angle = 2a1)
side opposite the 90° angle = 2a
10 = 2a => a = 10/2 => a = 5
2)
side opposite the 60° angle => b = 5√3
Good luck !
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Evaluate. 3(2+3^3)....................
Answer:
3(2+3³)
=3(2+27)
=3×29
=87
4,100,000 in scientific notation
Answer:
4.1 X 10^6
Step-by-step explanation:
count the zeros
which expression is equivalent to the given polynomial expression (g-h)(g^2-3gh+2h^2)
The simplified value of (g - h) (g² - 3gh + 2h²) is equal to g³ - 4hg² + 5gh² - 2h³.
The expression given is (g - h) (g² - 3gh + 2h²)
We have to simplify the above polynomial expression.
What are the like terms in an expression ?
Like terms are the terms which contain the same variable which is raised to the same power i.e., 3m , 2m , 4m are like terms.
As per the question ;
The expression given is (g - h) (g² - 3gh + 2h²)
So ,
On solving the above expression we get ;
g³ - 3hg² + 2gh² - hg² + 3gh² - 2h³
Let's simplify this by adding similar variables ;
2gh² , 3gh² are same variables
i.e., 2gh² + 3gh² = 5gh²
Similarly ,
- 3hg² and - hg² are same variables.
i.e., -hg² - 3hg² = -4hg²
So ,
The value after simplification will be ;
= g³ - 4hg² + 5gh² - 2h³
Thus , simplified value of (g - h) (g² - 3gh + 2h²) is equal to g³ - 4hg² + 5gh² - 2h³.
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3. The company charges $85 for each 16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales? ______ X 100,000 = 85 X _______=_______. The company earned $__________.
Answer:
85 X 100,000 = 85X
85x = 8500000.
The company earned $8,500,000
Step-by-step explanation:
click picture
Match each equation to a solution.
2x=64
Answer:
32 because 2 divided by 2 is 0 and 64 divided by 2 is 32
Order the following numbers from least to greatest.
64 cubicle root 18 cubicle root 4.2
Solve for x. Write your answer in the space below,
x + 5
—— = 10
2
Answer:
x=15
Step-by-step explanation:
15+5=20
20/2=10
So, 15 =x
it could be anything
Step-by-step explanation:
x plus 5__ = 102 could be anything it all just depends on what the variable X is so here Im going to take a random example and say that X = 52 so then the 5__ could turn into 50 and the equation would be X = 50 + 52 = 102
(-7x^2+5x+4)+(9x^2-2x-6)+(3x^2+4x)
Answer:
5 x^2 + 7 x − 2
Step-by-step explanation:
Select other ways to
4
express 10. Mark all that apply.
A 10 X 4
D 10,000
B 10 + 4
(E) 10 + 10 + 10 + 10
F
10 X 10 X 10 X 10
C 1,000
Answer:
10x10x10x10 and 10,000
Step-by-step explanation:
Select other ways to
4
express 10. Mark all that apply.
A 10 X 4
D 10,000
B 10 + 4
(E) 10 + 10 + 10 + 10
F
10 X 10 X 10 X 10
C 1,000
Use the graph to write an equation of the line (90,9)
Answer:
y = x ^2 − 99 x + 81
Step-by-step explanation:
Work backwards to find the factors from the roots, then multiply the factors together.
what is the measure of
2.4.185 -0.93
3
Please
Answer:
32.01863051
Step-by-step explanation:
if you multiply 6.3 by 25.83 thats what you get
Maxwell takes 45 minutes to pack 6 boxes. At this rate, how long will he take to Pack 8 boxes?
Maxwell takes time of 60 minutes to pack 8 boxes which is determined by the given rate of proportion.
What is the proportion?A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.
We have been given that Maxwell takes 45 minutes to pack 6 boxes.
Let Maxwell takes time of x minutes to pack 8 boxes.
According to the given question, we can write a proportion as
45 minutes : 6 boxes = x minutes : 8 boxes
⇒ 45/ 6 = x / 8
⇒ 7.5 = x / 8
Apply the cross-multiplication operation,
⇒ x = 8 × 7.5
⇒ x = 60
Therefore, Maxwell takes time of 60 minutes to pack 8 boxes.
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the ratio of girls to boys in a bicycling club was 3:6. There were 18 girls. How many boys were in the club?
Answer:
36
Step-by-step explanation:
Step 1:
3 : 6 Ratio
Step 2:
3 : 6 = 18 : x Equation
Step 3:
108 = 3x Multiply
Step 4:
x = 108 ÷ 3 Divide
Answer:
x = 36
Hope This Helps :)
Answer:
36
Step-by-step explanation:
We have the ratio 3:6(girls to boys)
Now lets simply put 18 below the 3. We know 18 to something has to equal 3:6.
Simply divided 18/3=6
Now we have 6. Simply multiply it by the number of boys.
6*6, which equals 36 boys,
Your answer would be 36 boys
Now if we put 18:36, we get the ratio 3:6, which further reduces down to 1:2.
Hope this helps!
Is the function f(x)
= -6x + 5 linear or nonlinear?
Answer:
This is a linear function.
Step-by-step explanation:
A linear function is a straight line. Once you graph the equation, you get a staright line, therefore, it's linear.
A line has a slope of 9 and a y-intercept of 2. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y=9x+2
Step-by-step explanation:
The standard form for a linear equation is y=mx+b. m=9 since it is slope and b=2 which is the y intercept. So the equation would be y=9x+2.
How do you do this question?
Answer:
8√2
2√2
Step-by-step explanation:
Using arc length for parametric equations:
s = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = 2 sin²t
dx/dt = 4 sin t cos t
y = 2 cos²t
dy/dt = -4 sin t cos t
s = ∫ √((4 sin t cos t)² + (-4 sin t cos t)²) dt
s = ∫ √(32 sin²t cos²t) dt
s = ∫ 4√2 sin t cos t dt
s = ∫ 2√2 sin(2t) dt
s = -√2 cos(2t)
If we evaluate this between t=0 and t=2π, we get s = 0. This means the particle travels forward and backward on the same curve.
sin²t and cos²t have periods of π, so if we evaluate from t=0 to t=π/2:
s = -√2 cos(2 (π/2)) − -√2 cos(0)
s = √2 + √2
s = 2√2
So the particle travels 2√2 four times from t=0 to t=2π.
The distance traveled is 8√2. The length of the curve is 2√2.
We can check our answer by eliminating the parameter.
x + y = 2 sin²t + 2 cos²t
x + y = 2
y = 2 − x
The curve is the line y = 2 − x from (0, 2) to (2, 0). Using distance formula to find the length of the line:
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((2 − 0)² + (0 − 2)²)
d = 2√2
Felipe pays $1.50 per carton for fresh eggs from the farmers market and $2 for a water. If Felipe spends a total of $9.50, how many cartons of eggs did he buy
Answer:
7.50
Step-by-step explanation:
i'm dumb
Answer:
He can buy 5 cartons of eggs
Step-by-step explanation:
Take $9.50 and subtract $2
Then divide that answer by $1.50
48 ÷ 228.0 long division, please show your work. I need help
Step-by-step explanation:
0.2105263158
__________________________
228.0 / 48
- 0
_________________________
480
- 456
_________________________
240
- 228
__________________________
120
- 0
___________________________
1200
- 1140
____________________________
600
- 456
_____________________________
1440
- 1368
_____________________________
720
- 684
______________________________
360
- 228
_______________________________
1320
- 1140
________________________________
1800
- 1824
_________________________________
24
I'm not sure but here you go^^
is -4 greater than -1/4
Answer:
No
Step-by-step explanation:
You would think -4 is, but because they are both negative, -1/4 is closer to zero
Answer:
no
Step-by-step explanation:
think of in a way where the number that's closest to 0 is bigger
What is the slope of the line?I need right now please.
Answer:
2
Step-by-step explanation:
if you measure the rate change on the graph, you will see it is 2
Find the area and perimeter of the figure in the graph below
area =
perimeter rounded to the nearest tenth =
Answer:
The answer is 20
Step-by-step explanation:
When you take the height of the triangle (which is 4) you take that and divide it by 2 or multiply by 1/2 which gets you 2. Then you take the two bases of the trapizoid and add them up to get 10 and then you multiply the two from earlier by 10 to get 20.
-2(x+5) - 3y = 6 - (2x - ly)
Combine like terms and make the equation equal zero
Answer:
-2y-4x-4=0
Step-by-step explanation:
find midpoint of the segment (−8,7) and (0,1)
Answer:
(-4,4)
Step-by-step explanation:
[tex]3x {}^{2} + 3 x[/tex]
3х^2 + 3x
Answer:
3x ( x + 1 )
Step-by-step explanation:
3x^2 + 3x
factor out x
x ( 3x + 3)
factor out 3
3x ( x + 1)
3x * ( x + 1 )
which one is greater 3m + 13 or 4m + 5
Answer: 3m+ 13 is greater
Which fraction is equivalent to
4/6
Answer: 2/3
Step-by-step explanation: 4/6 simplified is 2/3 because 4/6 divided by 2 is 2/3.
Answer:
2/3
Step-by-step explanation:
4 2x2
----
6 2x3
= 2/3
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Help!!!! I will give you brainiest!!!! Pls
find the solution of y=3x+5 for x=-2
Answer:
I think the answer is B
can you also please mark me as brainliest
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 3 .