Answer:
Perpendicular = Y = 34.64 ft (Approx)
Base = X = 20 ft
Step-by-step explanation:
Given:
θ = 60°
Hypotenuse = 40 ft
Perpendicular = Y
Base = X
Find:
X and Y
Computation:
Sinθ = Perpendicular / Hypotenuse
Sin 60 = Y / 40
Perpendicular = Y = 34.64 ft (Approx)
Cosθ = base / Hypotenuse
cos 60 = X / 40
Base = X = 20 ft
fill in the blank with the correct answer.
Answer:
I believe the correct answer is option B. 7 x 10
Step-by-step explanation:
Hope this helps if not I'm very sorry ^^"
Answer:
7*8
17*8=(10*8)+(7*8)
136=80+56
136=136
Plzzzzzzz help this is tonight plzzzzzzz
Answer:
Step-by-step explanation:
tto blurrry
need help with explanation will give brain list
Answer:
Option 4: 12.7
Step-by-step explanation:
You can look at the diagram as two 45º45º90º triangles.
By the properties of a 45º45º90º triangle:
OW=WL=a
OL=a√2
a√2 = 18
a=18/√2a≈12.728
Answer choices
1) 84°
2) 168°
3) 192°
4) 88°
PLEASE HELP ASAP
Answer:
2) 168
Step-by-step explanation:
What is the product of 3/7x2/5
Answer:
0.1714285714285714
Step-by-step explanation:
A farmer sells 8.5 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
6 kilograms of apples
Step-by-step explanation:
8.5-2.5=6
Hope I helped
Find three positive numbers whose sum is 140 and whose product is a maximum. (Enter your answers as a comma-separated list.)
Answer:
[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]
Step-by-step explanation:
Let the numbers be [tex]x, y\ and\ z.[/tex]
Such that:
[tex]x + y + z = 140[/tex]
Make z the subject
[tex]z = 140 -x - y[/tex]
For their product to be maximum, we have:
[tex]f(x,y,z) = xyz[/tex]
Substitute [tex]z = 140 -x - y[/tex] in [tex]f(x,y,z) = xyz[/tex]
[tex]f(x,y) = xy(140 - x - y)[/tex]
Open bracket
[tex]f(x,y) = 140xy - x^2y - xy^2[/tex]
Differentiate w.r.t x and y
[tex]f_x=140y - 2xy - y^2[/tex]
[tex]f_y=140x - x^2 - 2xy[/tex]
Since the products are maximum, then [tex]f_x = f_y = 0[/tex]
For [tex]f_x=140y - 2xy - y^2[/tex]
[tex]140y - 2xy - y^2 = 0[/tex]
Factorize:
[tex]y(140 - 2x - y) = 0[/tex]
Split
[tex]y = 0\ or\ 140 - 2x - y = 0[/tex]
Make y the subject
[tex]y = 0\ or\ y = 140 - 2x[/tex]
For [tex]f_y=140x - x^2 - 2xy[/tex]
[tex]140x - x^2 - 2xy = 0[/tex]
---------------------------------------------------
Substitute y = 0
[tex]140x - x^2 -2x*0 = 0[/tex]
[tex]140x - x^2 = 0[/tex]
Factorize
[tex]x(140 - x)= 0[/tex]
[tex]x = 0\ or\ 140-x = 0[/tex]
[tex]x = 0\ or\ x = 140[/tex]
---------------------------------------------------
Substitute [tex]y = 140 - 2x[/tex]
[tex]140x - x^2 - 2xy = 0[/tex]
[tex]140x - x^2 - 2x(140 - 2x) = 0[/tex]
[tex]140x - x^2 - 280x + 4x^2 = 0[/tex]
Re-arrange
[tex]4x^2 -x^2 +140x - 280x = 0[/tex]
[tex]3x^2 -140x = 0[/tex]
Factor x out
[tex]x(3x - 140) = 0[/tex]
Divide through by x
[tex]3x - 140 = 0[/tex]
[tex]3x = 140[/tex]
[tex]x = \frac{140}{3}[/tex]
Recall that: [tex]y = 140 - 2x[/tex]
[tex]y = 140 - 2 * \frac{140}{3}[/tex]
[tex]y = 140 - \frac{280}{3}[/tex]
Take LCM
[tex]y = \frac{140*3-280}{3}[/tex]
[tex]y = \frac{140}{3}[/tex]
Recall that:
[tex]z = 140 -x - y[/tex]
[tex]z = 140 - \frac{140}{3} - \frac{140}{3}[/tex]
Take LCM
[tex]z = \frac{3 * 140- 140 - 140}{3}[/tex]
[tex]z = \frac{140}{3}[/tex]
Hence, the numbers are:
[tex]\frac{140}{3}, \frac{140}{3}, \frac{140}{3}[/tex]
factor the trinomial completely. 10x^2+7x-12
Answer: i think the answer is (5x - 4)(2x +3) if it id wrong i am sorry ok
don't forget to drop a heart
Answer:
the answer is (2x + 3)(5x - 4)
Step-by-step explanation:
Four friends share 1/4 of a gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?
Answer:
1/16
Step-by-step explanation:
Hope This Helps :)
Plz Mark Brainliest!!!
Answer:
Just do 1/4 divided by 4
Step-by-step explanation:
a/b ÷ c/d= a/b × d/c
remember 4 can be re-written as 4/1
and lastly
a/b × b/c= ad/bc
An 8 ounce mug requires 0.3 cup of hot cocoa mix. How much hot cocoa mix is needed for a 12 ounce mug?
Answer:
0.45
Step-by-step explanation:
Step 1:
[tex]\frac{8}{0.3} =\frac{12}{x}[/tex]
Step 2:
8 · x = 0.3 · 12
8x = 3.6
Last Step: Divide both sides by 8 to isolate the value x
WILL GIVE BRAINLIEST
Answer:
3⁷
Step-by-step explanation:
The powers of exponents add when exponents are multiplied.
So, when we multiply 3⁴ × 3³, we have to add the powers.
3⁴ × 3³ = 3⁷ (the last choice)
Answer:
3^7 i think
Step-by-step explanation:
What is the slope of the line?
Answer: 2
Step-by-step explanation:
The expression (picture below) is equivalent to...
PLEASE HELP! I REALLY NEED IT!
Answer:
Step-by-step explanation:
go to this website Cymath.com
PLZ HELP PLZZZZZZZZZZZZZZZZ
Answer:
d
Step-by-step explanation:
Find the percent of decrease from $60 to $48. Round the percent to the nearest tenth if necessary.
Answer: 20%
Step-by-step explanation: Basically you find the difference which is twelve, and put it over the original amount which is 60. You get 1/5 which in percent form is 20%
The percent of decrease from $60 to $48 is 20%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Let n be the percent of decrease.
60 - 48 = 12
60n = 12
n = 12/60
n = 0.2
n = 20%
Therefore, the percent in decrease is 20%.
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GggggghggggggggggggggggggggTry
Answer:
try this 20+10 = 20x10 = 20-10=
Step-by-step explanation:
add the first one, than times the other one, after subtract the last one.
The term-to-term rule for a sequence is " Add 1 and then double"
The first two terms are 2 and 6
Find the next term
The next term of the sequence is 14.
What is Sequence?A sequence in mathematics is a ordered set of objects or numbers which are related with something.
For example, 1, 3, 5, ..... is a sequence of odd numbers.
Given that,
The term-to-term rule for a sequence is " Add 1 and then double"
First term = 2
Second term = 6
6 is got by adding 1 to 2 and then doubling it.
2 + 1 = 3
3 × 2 = 6
In the same way,
Third term = (6 + 1)2 = 7 × 2 = 14
Hence the next term of the sequence is 14.
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Information about three circles is listed below.
• Circle P has a diameter of 26 cm.
• Circle Q has a diameter of 52 cm.
• Circle R has a radius of 52 cm. Based on this information, which statement is true?
A.The diameter of circle P is the same length as the diameter of circle R.
B. The radius of circle P is the same length as the radius of circle Q.
C The diameter of circle P is the same length as the radius of circle Q.
D. The radius of circle P is the same length as the diameter of circle R.
Answer:
C The diameter of circle P is the same length as the radius of circle Q.
Step-by-step explanation:
The solution to a system of equations is (6,3) choose 2 equations that might make up the system
8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
Answer:
113.10
Step-by-step explanation:
Answer:
how to make sugar cookies :)
Step-by-step explanation:
2 ¾ cups all-purpose flour
1 teaspoon baking soda
½ teaspoon baking powder
1 cup butter, softened
1 ½ cups white sugar
1 egg
1 teaspoon vanilla extract
A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top of the drum is 16 inches, and the minimum diameter is 8 inches, occurring at a height of 22 inches. Determine the equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola occurs at the height where the diameter is the least.
look at the screen shot ya know
The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the total height of the drum is 35 inches.
The diameter at the top of the drum = is 16 inches, and
The minimum diameter is 8 inches, occurring at a height of 22 inches.
The equation of the hyperbola be denoted as;
x²/a² - y²/b² = 1
From the question, with x and y coordinates representing height and radius respectively,
Then,
When x = 35 + a, y is = 16/2 = 8 and
At x = 22+ a, y is = 8/2 = 4
Thus,
(35 + a)²/a² - 8²/b² = 1
(22+ a)²/a² - 4²/b² = 1
By solving, we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
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help plz ill give extra points ?
Answer:
Step-by-step explanation:
Not sure
Answer:
45 degrees
Step-by-step explanation:
they are both the same half so 90 divided by 2 is 45
Which method is the best method for solving the equation?
[tex]8x^{2} - 13x + 3 = 0[/tex]
Answer:
Step-by-step explanation:
Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help
A right triangle has a base of 6 inches and a height of 10 inches.What is the area of the triangle
Answer:
dont know
Step-by-step explanation:
Answer:
I thinks it is 30 squared inches
Solve for r. 80=10r
WILL MARK BRAINLIEST
Answer:
8
Step-by-step explanation:
R is another way of saying multiply 10 (Or any number) by something to get 80 (Or the sum)
10 x 8 = 80
80=10r
r = 8
Answer:
r= 80/10
r= 8
hope it helps you
Step-by-step explanation:
you may Mark me as brainliest:)
Write the explicit formula for the sequence. 27, 18, 12, 8,.... A) an = 9(2/3)(n-1) B) an = 27(3/2)(n-1) C) an = 27(1/3)(n-1) D) an = 27(2/3)(n-1)
Answer: A
Step-by-step explanation:
Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?
Answer:
Amanda will catch up Ben after 0.6 hours.
Step-by-step explanation:
Amanda begins jogging along the same path at 7 mi/h.
This means that Amanda's position, after t hours, is given by:
[tex]A(t) = 7t[/tex]
Ben starts walking along a path at 2 mi/h.
Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:
[tex]B(t) = 3 + 2t[/tex]
How long (in hours) will it be before Amanda catches up to Ben?
This will happen when:
[tex]A(t) = B(t)[/tex]
So
[tex]7t = 3 + 2t[/tex]
[tex]5t = 3[/tex]
[tex]t = \frac{3}{5}[/tex]
[tex]t = 0.6[/tex]
Amanda will catch up Ben after 0.6 hours.
It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.
This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.
Let s represent the distance Amanda travels until she meet Ben.
We can set a timer on our phone when she leaves in order to track the time taken.
Let t represent the time taken.
Set of EquationWe can come up with two equations from these scenario
d - 3 = 2t------ equation (i)d = 7t ----- equation (ii)Substitute equation (ii) into equation (i)
[tex]7t -3 =2t[/tex]
collect like terms
[tex]7t-2t=3\\5t=3\\t=3/5\\t=0.6[/tex]
From the above, we can see it took her 0.6 hours to catch up with Ben.
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PLEASE HELP ASAP I WILL MARK BRAINLIEST!
Choose all the rectangles that have a perimeter of 4x+16.
The answer I have is B and D, I hope that this helped.
Which expression is equivalent to (-4+5y-2x) + (5x+7+10y)
Answer:
3 + 3x + 15y
Step-by-step explanation:
You may find it easier to write these two expressions into column form:
(-4+5y-2x)
+ (5x+7+10y)
Combine like terms (do this for constants, x and y terms):
(-4+5y-2x)
+ (5x+7+10y)
-------------------
3 + 3x + 15y
what is the mean of the following numbers? 10,39,71,39,76,38,25
Answer:
42.57
Step-by-step explanation:
10+39+71+39+76+38+25=298
298/7=42.57