Answer:
2 mph24 miles one-way; 48 miles round tripStep-by-step explanation:
Let c represent the speed of the current. The travel time is inversely proportional to the travel speed. In one direction the current speed is added to the boat speed; in the other direction, it is subtracted. You can write the relation ...
(10 +c)/(10 -c) = 3/2
2(10 +c) = 3(10 -c) . . . . . . "cross multiply"
20 +2c = 30 -3c . . . . . . . eliminate parentheses
5c = 10 . . . . . . . . . . . . . . . add 3c -20
c = 2 . . . . . . . . . . . . . . . . . divide by 5
The speed of the current is 2 miles per hour.
__
The speed downstream is then (10 +2) = 12 miles per hour. The travel time in that direction is 2 hours, so the distance covered is ...
(12 mi/h)(2 h) = 24 mi
The one-way distance of the trip is 24 miles.
Find the area of the ring-the shaded region
The area of the (ring) - the shaded region is 75.36 in²
Solution:
The value of π = 3.14
Radius of the inner circle = 5 in
Area of the inner circle = πr²
= π × 5²
Area of the inner circle = 25π
Radius of the outer circle = (5 + 2) = 7 in
Area of the outer circle = πr²
= π × 7²
Area of the outer circle = 49π
Area of the shaded ring = Area of the outer circle – Area of the inner circle
= 49π – 25π
= 24π
= 24 × 3.14
= 75.36 in²
The area of the (ring) - the shaded region is 75.36 in².
PLEASE HELP, WILL MARK BRAINLIEST!! The diagram shows the dimensions of a deck. A student finds the area by adding 16 ft2 + 48 ft2. Is the student correct? Explain your reasoning.
Answer:
The student is wrong, the total area = 16 ft² + 20 ft²
Step-by-step explanation:
The figure can be consists of :
1) A square of side length of 4 ft
2) A trapezoid of height (8-4 = 4 ft) and the bases length is (6 and 4 ft)
So,
The area of the square = 4 * 4 = 16 ft²
The area of the trapezoid = 0.5 (6+4) * 4 = 5 * 4 = 20 ft²
So ,the total area = 16 + 20 = 36 ft²
So,
The student is distracted.
he have found the area of total rectangle of length of 8 ft and width of 6 ft instead of the area of the trapezoid.
So, the student is wrong
State the slope and the y-intercept of this equation: y = -4x - 9
Answer:
slope = - 4, y- intercept = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x - 9 ← is in slope- intercept form
with slope m = - 4 and y- intercept c = - 9
Help..
Anyone...
Help...
An ant can carry 0.044 pounds of weight. Important information: Weight of an ant is 8.8x10⁻⁶ pound. They can carry objects up to 5,000 times greater than their own body weight.
Four CDs and 4 DVDs cost $164. The cost of the 4 CDs is half the cost of the
4 DVDs. What is the cost of each CD?
Answer:
$13.67
Step-by-step explanation:
Let's say that CD= c and DVDs= d. Four CDs and 4 DVDs cost $164, so the equation will be:
i. 4c + 4d= 164
The cost of the 4 CDs is half the cost of the 4 DVDs, to put into an equation it will be:
ii. 4c= 0.5(4d)
4c= 2d
d= 2c
Then we can substitute the second equation (ii) into the first equation (i). The calculation will be:
4c + 4d= 164
4c + 4(2c)= 164
4c+ 8c= 164
12c= 164
c=13.67
The cost for each CD is $13.67
Order the numbers from least to greatest 10.5, 10.06, 10.64, 10.46
Answer:
10.06, 10.46, 10.5, 10.64
Step-by-step explanation
А
What is 35% of 50?
Answer:
17.5
Step-by-step explanation:
35% = 0.35 in decimal form.
(Think about: 1 = 100%)
To find 35% of 50, we simply multiply.
0.35 × 50 = 17.5
35% of 50 is 17.5
QUICKLY!! Jonahs grandmother gave him 125 for his birthday. He used 14% of the money to buy music on iTunes and 65% to purchase a new hockey stick. How much more did he spend on the jock stick than on music?
Answer:
It's 63.75 since I looked it up.
d + d + d + d=
I need help on this algebra pls
Answer:
4d
Step-by-step explanation:
Brainiest please
d+d+d+d
=4d
Hope this will help u...✌✌
h(x)=square root of x-10
what is the domain of h?
The domain of the function h(x) = √(x-10) is all real numbers x that are greater than or equal to 10, because we cannot take the square root of a negative number under the real number system.
Explanation:In mathematics, the domain of a function is the set of all the possible input values (usually denoted as x) that would lead to a real and defined output. As for the function h(x)=√(x-10), we have a square root operation involved. We know that under the real number system, we cannot take the square root of a negative number.
Hence, for the function h(x)=√(x-10) to be real and defined, (x-10) must be greater than or equal to 0. That is, x-10 ≥ 0. Solving for x, we get x ≥ 10.
Therefore, the domain of the function h(x) = √(x-10) is x≥10. That is, h(x) is defined for all real numbers x that are greater than or equal to 10.
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Use the distributive property to write an equivalent expression. 6(x+y+z)
Answer: 6 x + 6y + 6z
Step-by-step explanation: Simply distribute the 6 by multiplying it by each variable in the parenthesis!
Answer:
6x+6y+6z
Step-by-step explanation:
Apply distribution
WILL GIVE BRAINLIEST When the frequency of an electromagnetic wave is 400,000,000,000,000 Hz, red light results. Which of these is the frequency of red light?
10×4^14
10×4^15
4×10^15
4×10^14
The frequency of red light is 4 x 10¹⁴ Hz. The correct answer is option D.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The given that when the frequency of an electromagnetic wave is 400,000,000,000,000 Hz, it results in red light.
The choices given are in scientific notation form, where the coefficient is multiplied by 10 raised to a certain power of 10.
To convert 400,000,000,000,000 Hz into scientific notation, we need to move the decimal point 14 places to the left to obtain a coefficient between 1 and 10.
This gives us 4.0 as the coefficient, and since we moved the decimal point 14 places to the left, the power of 10 is -14.
Therefore, the frequency of red light is 4 x 10¹⁴ Hz.
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If JK = 7 and JL = 12, what is JM?
Without additional context or details about how JK, JL, and JM are related, it's impossible to accurately calculate or deduce the value of JM. Further clarification or more information about the scenario or the mathematical or geometric principles involved is needed for a precise answer.
Explanation:The question provided does not seem to present enough context or connection to standard mathematical operations or geometric principles that would enable a straightforward calculation or deduction of the value of JM. Without additional information about the relationship between JK, JL, and JM (such as whether they are sides of a triangle, or represent values in a given mathematical formula), or without a clear mathematical or geometric context, it's impossible to accurately determine the value of JM.
Generally, in mathematics, when calculating distances or values based on given lengths, one needs to apply specific formulas or theorems (such as the Pythagorean theorem in the context of right-angled triangles, or vector addition in the context of physics problems). Unfortunately, the given data lacks the necessary context to apply such principles.
For a precise and accurate answer, I recommend clarifying the problem's context or providing more details about the scenario in which JK, JL, and JM are related.
-Final answer:
To find JM in a triangle with known side lengths JK = 7 and JL = 12, we use the Triangle Inequality Theorem to determine that JM must be less than 19.
Explanation:
To find JM, we can use the fact that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).
JK + JL > JM
7 + 12 > JM
19 > JM
Therefore, JM must be less than 19 but more than the absolute difference of JK and JL, so JM < 19.
What is the vertex of y=−2x2−4x−5?
Answer:
(-1,-5)
Step-by-step explanation:
What is the probability of drawing a black 5 from a standard deck of playing cards?
Answer: 1/26 chance
Step-by-step explanation:
there are two black fives in a deck so you get the fraction, 2/52.
simply it and you get 1/26.
| What is the square root of -16?
Answer:
[tex]4i[/tex]
Step-by-step explanation:
Step 1: Find the answer
[tex]\sqrt{-16}[/tex]
[tex]\sqrt{4^2 * i^2}[/tex]
[tex]4i[/tex]
Answer: [tex]4i[/tex]
g + 3f+ f +g +g Write an equivalent expression that uses each variable only once.
Answer:
The answer would be 4f + 3g. I hope this helps!!!
Answer:
3G+4F
Step-by-step explanation:
just add the number of variables only with themself, so for example there are 3 G's, you would add them together and put 3G
Factor the algebraic expression.
24 a+27
Answer:
3(8a+9)
Step-by-step explanation:
24a+27=3*8a+3*9=3 *(8a+9)
What is 89 divided by 3 in decimal form
Answer:
29.67
Step-by-step explanation:
[tex]89 \div 3 \\ \implies 29.6666666 \\ \implies \boxed{ \bf 29.67}[/tex]
_______________________
Thanks for the question!
When rounded to two decimal places, 89 divided by 3 is approximately 29.67.
To calculate 89 divided by 3 in decimal form, we perform the division operation:
89 ÷ 3 ≈ 29.666666...
The division result is a repeating decimal with the digit 6 repeating infinitely. However, since you asked for the answer in decimal form, rounded to a certain number of decimal places, we can round the result to a reasonable precision.
Let's round it to two decimal places:
89 ÷ 3 ≈ 29.67
So, when rounded to two decimal places, 89 divided by 3 is approximately 29.67.
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the quotient and the divisor are the same number. the sum is 8. write the related facts
Answer:
Starting from the definitions of each concept, we have to:
Divider = number you are dividing
Quotient = result of division
Therefore, for them to be the same number is half of the sum they tell us, which means that 8/2 = 4, then the quotient is 4 and the divisor is 4 too, and the dividend 4 * 4 = 16
The division would be:
16/4 = 4
Thus fulfilling the premise of the problem.
need help asap! due tomorrow and it’s late!
Answer:
8.8
Step-by-step explanation:
if you use the sin, cos, and tan method. 20 is the h, x is the a and the blank side is the o. if you take way the side without the o you have the a and h which means you have cosine. If you did the equation as cos64=x/20 Then multiply both sides by 20 to get the X by it so you will have 20 COS 64 and once you want a play that together you have 8.8 equals X.
Kala has a rope that is 17 meters long. She cuts away a piece that is 8.83 meters long. How long is the remaining piece of rope?
What are the first 5 common multiples of 4 and 14?
Answer:
28, 56, 84, 112, and 140
Step-by-step explanation:
4: 28,32,36,40,44,48,52,56,60,64,68,72,76,80,84, ...
14: 28,42,56,70,84,98,112,126,140
9. Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cable. The cliffs are 740 feet apart and the first cliff is 280 feet taller than the second cliff. How long is the cable between the cliffs?
Answer:
791.2 ft
Step-by-step explanation:
The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.
[tex]H=\sqrt {x^{2}+y^{2}}[/tex]
where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then
[tex]H=\sqrt {740^{2}+280^{2}}=791.20161779409930627669981858168023442712 ft\approx 791.2 ft[/tex]
Answer:
791.2 ft to the nearest tenth.
Step-by-step explanation:
From the diagram,we assume :
AD to be the height of the first cliff
BC to be the height of the second cliff
DC to be the length of the cable between the top of the two cliff.
AD=740 ft.
DE= 280 ft.
Using Pythagorean Theorem, we obtain.;
[tex] {DE}^{2}+ {CE}^{2} = {DC}^{2} [/tex]
By substitution we obtain
[tex] {280}^{2} + {740}^{2} = [/tex]
[tex] \implies78400 + 547600 = {DC}^{2} [/tex]
[tex]\implies626000= {DC}^{2} [/tex]
Taking positive square root.
[tex]\implies DC = \sqrt{626000} [/tex]
[tex] \implies DC =791.202 ft[/tex]
the actual length of a rectangular platform used for assembeling robots is 6 feet. in amal's drawing, the platform measures 1.2 inches in legnth and 1 inch in width. what is the actual width of the platform? write a proportion to justify your answer.
Answer:
Actual width = 5 feet.
Step-by-step explanation:
The ratio of 1.2 to 1 equals the ratio of length to width.
1.2 / 1 = 6 / w where w is the actual width.
1.2w = 6
w = 6/1.2
w = 5.
Determine the solution for x^2+36>12x
Answer:
x^2+36 or x2 + 36 = 0
Step-by-step explanation:
Answer:
x> 6 twice
Step-by-step explanation:
x^2+36>12x
x² + 36 > 12x
Collect like terms
x² - 12x + 36 > 0
Solve quadratically using factorisation method by finding two factors of 36 that when added gives -12, the coefficient of x.
Factors = -6 and -6 which both add up to -12
Rewrite equation
x² - 6x - 6x +36> 0
Factorise by taking out the common factor
x ( x - 6) -6( x - 6) > 0
(x -6)(x - 6) > 0
x - 6 > 0 or x -6 > 0
Add 6 to both sides
x -6+6> 0+6 or x-6+6>0+6
x > 6 or x> 6
x> 6 twice
I hope this was helpful, please rate as brainliest
What is the equation of a line that passes through the points (-3, 4) and (2, 8)?
Answer:
y= 4/5x +2/5
Step-by-step explanation:
When finding slope, use the format y-y1/x-x1. Plug in your coordinates to get this: 8-4/2--3. 8-4 equals 4, and 2--3 equals 5. So, your slope would be 4/5. Next, make your equation like this: y=4/5x+b. Next, plug in one of your ordered pairs into the equation. It doesn't matter which one you use. I'm going to use the second pair, so it would look like this: 8=4/5(2)+b. Multiply 4/5 by 2 to get 8/5. This is what you should have: 2=8/5+b. Subtract 8/5 from both sides to get your y-intercept of 2/5. Go back to your original equation and plug in 2/5 to b. This is your final equation: y= 4/5x +2/5. Hope this helped!
f (4) for the function f (x) = 25 + 10x
Answer:
65
Step-by-step explanation:
The f(4) means that if you want to solve any problem having x it means you should substitute the value into any point where x is present
So to solve this problem, we will have to solve the following question as
25+10(4)
Then solve the bracket first
25+40
Then solve further
65
Therefore the final answer is 65
What does x equal in 3(x-2)=-3
Answer:
Step-by-step explanation:
3(x-2)= -3
Divide both sides by 3
x-2 = -1
add 2 to both sides
x - 2 +2 = -1 + 2
x = 1
Answer: x = 1
Step-by-step explanation:
3(x-2) = -3
3x -6 = -3
+6 +6
3x = 3
----------
3 3
x = 1
Trapezoid ABCD and trapezoid JKLM are similar. What side corresponds to side BC? Side LM Side KL Side JK Side KJ
Answer: JK
Step-by-step explanation: