Answer:
0
Step-by-step explanation:
Sin 30° = ½
Cos 30° = √3/2
Sin 60° = √3/2
Cos 60° = ½
Therefore,
(½ + √3/2) - (√3/2 + ½)
[tex] \frac{1 + \sqrt[]{3} }{2} - \frac{ \sqrt{3 + 1} }{ 2 } [/tex]
[tex] \frac{1 + \sqrt{3} - \sqrt{3} - 1}{2} [/tex]
[tex] \frac{0 - 0}{2} [/tex]
Answer: 0
For more information on trigonometric refer to this link
1/3 of 12= 2/3 of
how do I do this I've forgotten please help
Answer:
6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.
Step-by-step explanation:
An automatic doughnut machine can produce 1500 doughnuts in 9 hours.
How long would it take the machine to make 300 doughnuts?
Answer:
1 hr, 48 minutes
Step-by-step explanation:
you can create a proportion:
doughnuts/hours = doughnut/hours (h)
1500/9 = 300/h
cross-multiply to get:
1500h = 2700
h = 27/15
h = 1 12/15, which is 1 hr, 48 minutes because 12/15 = 48/60
Which of the following properties could be used to rewrite the expression (2/3 . 1/5) . 5/2 as 2/3 . (5/2 . 1/5)
a. The commutative property used twice
b. The associative property followed by the commutative property
c. The commutative property followed by the associative property
d. The associative property used once
Answer:B
Step-by-step explanation:
Madelyn is 1.85 meters tall. At 12 noon, she measures the length of a tree's shadow to be 39.75 meters. She stands 34.9 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The relationship between her height and the tree's is an illustration of ratios and proportions
The height of the tree is approximately 2.11 meters
Her height is represented as:
[tex]\mathbf{h =1.85}[/tex]
At 12 noon, the length of the tree's shadow and her distance from the shadow are given as:
[tex]\mathbf{D =39.75}[/tex]
[tex]\mathbf{d =34.9}[/tex]
To calculate the height (H) of the tree, we make use of the following equivalent ratios
[tex]\mathbf{H : h =D : d}[/tex]
So, we have:
[tex]\mathbf{H : 1.85 =39.75 : 34.9}[/tex]
Express ratio as fraction
[tex]\mathbf{\frac{H }{ 1.85 }=\frac{39.75 }{ 34.9}}[/tex]
Multiply both sides by 1.85
[tex]\mathbf{H=1.85 \times \frac{39.75 }{ 34.9}}[/tex]
[tex]\mathbf{H=2.11}[/tex]
Hence, the height of the tree is approximately 2.11 meters
Read more about ratios and proportions at:
https://brainly.com/question/7810782
Write each equation in STANDARD FORM. y=-2/3x+3
[tex]\huge\underline\mathtt\colorbox{cyan}{2/3x+y+3=0}[/tex]
kinyua spent
[tex] \frac{1}{4} [/tex]
of his net January salary on school fees
Answeby-step explanation:
zdssadads
In which quadrant does the point (-4, -5) lie?
Answer:
Quadrant 3
Step-by-step explanation:
3rd quadrant. because both x and y are negative
lucio es un poco bromista al llegar a la tortearía dijo: me da dos tercios de torta y media el dependiente que si sabia matemáticas lo despacho correctamente
*Que cantidad de torta le dio?
*como resolviste el problema?
Answer:
Step-by-step explanation:
In the given case, we can conclude The customer received one and one-sixth (1 1/6) of a cake.
The question is asking us to determine how much cake the customer received. The phrase 'dos tercios' translates to 'two-thirds' in English. So, the customer received two-thirds of a cake.
Since the customer also received half of a cake, we can add these two quantities together: two-thirds + one-half.
In order to add these fractions, we need a common denominator. The least common multiple of 2 and 3 is 6. So, we can rewrite two-thirds as four-sixths and one-half as three-sixths. Adding these fractions together gives us seven-sixths (or one and one-sixth).
Therefore, the customer received one and one-sixth (1 1/6) of a cake.
Learn more about the topic of Addition of fractions here:
https://brainly.com/question/14427715
#SPJ3
the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k
For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
Learn more here: https://brainly.com/question/25613656
NEED ASAP PLEASE SHOW WORK! Follow the directions and solve this sequence for the first 10 terms:-3,-12,-48,-192
A.
CR: 4
10th term: -262,144
B.
CR:-4
10th term: 786,432
C.
CR:4
10th term: - 786,4323
Answer: B (786,432)
Geometric sequence follows by multiplying by 4.
-3
-12
-48
-192
-768
-3072
-12288
-49152
-196,608
-786,432
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
what is the lateral surface area of a right circular cylinder with height 10cm and base area 154cmsquare (use pi = 22/7)
Answer:
Lateral surface area = 154cm²
Step-by-step explanation:
h = 10cm
pi = 22/7
base area = 154cm²
2πrh = 154cm²
2 × 22/7 × r × 10 = 154
440/7 × r = 154
r = 154 ÷ 440/7 = 2.45
r = 2.45
LSA of right circular cylinder = 2πrh
2 × 22/7 × 2.45 × 10
44/7 × 24.5 = 1078/7
1078/7 = 154
Therefore, lateral surface area = 154cm²
Hope it helps:)
Any math teacher here
Answer:
what's the question?
Step-by-step explanation:
If 2/3 of a number is 10, then what is 0.15 times of that number?
a) 225 b) 825 c) 22.5 d) 2.25
step by step explanation needed
Answer:
d) 2.25Step-by-step explanation:
Let the number is x.
2/3 of a number is 10:
2/3x = 10x = 3*10/2 = 150.15 times of the number is:
15*0.15 = 2.25Correct choice is d
2x+1+4x+7+5x-1+4x-18+7x-39
Answer: x=2
Step-by-step explanation:
The cost of using a game facility is $1 for every 12 minutes. Talisa writes the function for the cost per hour as ()=. Explain Talisa’s error.
Using proportions, it is found that Talisa's error was at calculating the cost per minute of the game.
In the function:
The input is x, which is the number of minutes.The output is f(x), which is the cost of playing the game for x minutes.Talisa's expression is given by:
[tex]f(x) = 12x[/tex]
The cost of using a game facility is $1 for every 12 minutes, hence, the cost per minute is:
[tex]c = \frac{1}{12}[/tex]
And the correct expression for the cost is:
[tex]f(x) = \frac{x}{12}[/tex]
Hence, it can be seen that Talisa's error was at calculating the cost per minute of the game.
A similar problem is given at https://brainly.com/question/24372153
Reina's family is taking a road trip. Their car can travel no more than 304 miles without needing to refill the gas tank. They have traveled 221 miles since they last filled the gas tank. Reina knows that the inequality representing this situation is 221 + x < 304. Select from the drop-down menu to correctly interpret the solution of this inequality. Reina's family can drive ______ more miles before they need to refill the gas tank.
Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:
[tex]221 + x \leq 304[/tex]
To solve it, we treat it similarly to an equality, hence:
[tex]x \leq 304 - 221[/tex]
[tex]x \leq 83[/tex]
Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at https://brainly.com/question/11713066
The answer prior to this is WRONG. The correct answer is "at most 83" miles.
helpppp meeee mateeee
No, Yes, No, No
-6 = (w/9) - 1
add 1 both side
-5 = w/9
multiply 9 by both sides
w = -45
Answer:
I'm pretty sure -45 is the only answer out of all of those.
Give one example of an urban area and one example of a rural area.
Answer:
An urban area would be New York City, a rural area would be a small town in western Kansas.
Step-by-step explanation:
Twenty-nine lots of p=
Answer:
29p
Step-by-step explanation:
pretty simple
Answer:
29p
Step-by-step explanation:
you
take
p
multiply
by
29
and
the
answer
is
29p
PLEASE ONLY ANSWER IF YOU KNOW THE CORRECT ANSWER!! I APPRECIATE IT THANK YOUUUU
Which relation is a function
Answer: The top right one
Step-by-step explanation: A function means that each input has exactly ONE output, so no x coordinate can have more than one y. The top right is the only one that fits that description. You can check to see if a point is exactly above a given point.
Find the value of y.
Answer:
125
Step-by-step explanation:
You can find the interior angle next to the angle with the value of 100, because a straight line has an angle of 180, so that angle would be 80. You can do the same with the interior angle next to 135, with that angle having a value of 45.
The interior angles of a triangle always have the sum of 180, so to get the last interior angle add 80+45 and then subtract that from 180. That angle would be 55.
To get Y take the value of the interior angle subtract 55 from 180, which would be 125.
Help. What is 90% decreased by 10% :/
Is it 81?
How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation
I personally like the square method but I am lazy to draw this out (take too long)
5x²-13x-6 = (5x+2)(x-3)
x = -2/5 or 3
Double-check:
5x²-15x+2x-6 = 5x²-13x-6 √
Help homework due soon!!!
Solving a word problem using a system of linear equations:
Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?
The plans are illustrations of system of linear equations
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Let A represent plan A, and B represents plan B
On Monday, we have:
4A + 8B = 9
On Tuesday, we have:
2A + 3B = 4
Multiply the second equation by 2
2 * (2A + 3B = 4)
4A + 6B = 8
Subtract this equation from the first equation.
So, we have:
4A - 4A + 8B - 6B = 9 - 8
3B = 1
Divide both sides by 3
[tex]\mathbf{B = \frac 13}[/tex]
Substitute 1/3 for B in 2A + 3B = 4
[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]
2A + 1 = 4
Subtract 1 from both sides
2A = 3
Divide both sides by 2
[tex]\mathbf{A = 1\frac 12}[/tex]
This means that:
Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour
Read more about linear equations at:
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4(x-3)/8=y change the subject to x
Is 100 a reasonable estimate for 915.25 +88.22? Explain.
Answer:
When estimating always round to the nearest whole number, 10th or 100th.
Im not sure if which estimation you are requesting in this question but i'l give you three answers:
The nearest whole number which would be 915 and 88 would be 1,003
The nearest 10th which is 920 and 90 which would be 1,010
The nearest 100th which would be 900 and 90 which would be 990
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
How large could the percent error in Jada’s measurement be? Remember her error is 1/8 (.125) of the orignial height. Round to the nearest tenth of a %.
Answer: 2.6%
Step-by-step explanation:
4 3/4 = 4.75 which I'll be using because its easier for me
0.125 / 4.75 = 0.0263157895
0.0263157895 * 100 = 2.63157895
2.63157895%
Rounded is 2.6%
How do I do this? Help me please
Answer:
4.6 and 3.5 and 3.6.
Step-by-step explanation:
Because they have to be in a range between 3.7 and 4.3.
2. What is the exchange rate? Show your work. 1 US dollar = ___________ euro
help pls :(
Answer:
.88 Euro
Step-by-step explanation:
One U.S. dollar is equivalent to .88 Euro. Have a nice day!
