The height of the rectangle is 3.1 kilometers.
What is the height?A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals which bisect each other . The perimeter of a rectangle is the distance round the rectangle. It is the sum of the four sides of the rectangle.
Perimeter of a rectangle = 2 x (height + width)
38.6 = 2 x (16.2 + height)
In order to determine the height, take the following steps:
38.6 / 2 = 16.2 + height
19.3 = 16.2 + height
height = 19.3 - 16.2 = 3.1 kilometers
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Solve A = P(1 + rt) for t
Answer:
t = (A/p-1) r
Step-by-step explanation:
p = p (1+rt)
A/P = 1+rt
rt = A/P- 1
t = ( A/P- 1) r
what is the value of x when 2^x-7*5^x-4=1250
Step-by-step explanation:
The correct answer is the photo
What is X=? // which choice is correct ? (Ignore my guessing choice mark)
Given:
A figure of a right angle triangle.
To find:
The length of the shorter leg.
Solution:
In a right angle triangle,
[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]
[tex]\sqrt{3}=\dfrac{18}{x}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}[/tex]
[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
On further simplification, we get
[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]
[tex]x=6\sqrt{3}[/tex]
[tex]x=10.3923[/tex]
[tex]x\approx 10.4[/tex]
Therefore, the length of the shortest leg is 10.4 and the correct option is B.
The distance traveled at a constant speed is directly proportional to
the time spent traveling. If Lynnell traveled 70 miles in 3.5 hours, how
many miles will Lynnell travel in 4 hours at the same constant speed?
Answer:
80 mi.
Step-by-step explanation:
There are a couple ways to solve this problem. I will show you one. First, let's find the rate of travel.
D = RT
70 = 3.5R
R = 70/3.5 = 20
Using that speed, we now get
D = 20(4) = 80 mi.
X/4-1.2=2
Need this fast
Answer:
x=12.8Step-by-step explanation:
add 1.2 to the 2
x/4=3.2
multiply 3.2 by 4
x=12.8
Jacob has 3 times as many football cards as Eli. Eli has 39 football cards. Tara has 111 football cards. Who has more football cards, Jacob or Tara? How many more?
Answer:
Jacob
Step-by-step explanation:
39*3 = 117
because it says Jacob has 3 times as many football cards as eli... Eli has 39 so 39*3 is 117 and 117 is more than 111
What is -4(x + 9) combine like terms
Answer:
-4x-36
Step-by-step explanation:
multiply -4 by x
multiply -4 by 9 and add each together
Answer:
-4x + -36
Step-by-step explanation:
This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.
-4 · x = -4x.
-4 · 9 = -36
Hope this helps!
i need help with this problem
Answer:
y = 3x - 4
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line
m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, - 4) ⇒ c = - 4
y = 3x - 4 ← equation of line
True or False: Tamika is having 5 friends over for a birthday party. Each serving of ice cream is of a cup. She would like to double that amount for each serving and have enough ice cream for her and her friends. 4 cups is enough
Answer:
TRUE
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
False
If you have her and 5 friends that is 6 people.
And her doubled serving is 2 cups.
Enough ice cream would be 12 cups
(6 x 2 = 12)
She only has 4 which is not enough ice cream for everyone given these servings.
I hope this helps.
If you have any questions or concerns please comment or message me. :)
what special name is given to the domain in a linear programming problem
Answer:
Mathematics
Step-by-step explanation:
Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).
You borrow $10,000 to buy a car. The simple interest rate is 3%. You pay the loan off after 6 years. What
is the total amount you paid for the loan?
I slept the correct operator for the following exponential expression*
Answer:
b is the answer(>)
Step-by-step explanation:
hope this helps
Find the unknown side length of these similar triangles using scale factor. Show working out.
dos numeros sumados dan como resultado 5 y el doble de uno mas el doble del otro da como resultado 15 ¿cuales son esos numeros?
Answer:
Sean dos números A y B.
Sabemos que la suma de estos dos números es igual a 5, entonces:
A + B = 5
Y sabemos que el doble de uno mas el doble del otro da como resultado 15.
entonces:
2*(A + 2*B) = 15
esta es la única forma de interpretar esta ecuación, si en lugar de esta expresión tuviéramos 2*A + 2*B = 15 (pues tambien se puede interpretar como esto), entonces:
tenemos dos ecuaciones:
A + B = 5
2*A + 2*B = 15
Ahora, si sacamos el 2 como factor común en la segunda ecuación tenemos:
2*(A + B) = 15
si dividimos ambas partes por 2:
(A + B) = 15/2 = 7.5
(A + B) = 7.5
Esto se contradice con la primer ecuación:
(A + B) = 5.
Entonces podemos concluir que dichos números no existen.
Dejando esto de lado, nuestras ecuaciones van a ser:
A + B = 5
2*(A + 2*B) = 15
Para resolver esto, el primer paso es aislar una de las variables en una de las ecuaciones, yo voy a aislar A en la primera:
A = 5 - B
Ahora podemos reemplazar esto en la otra ecuación:
2*(5 - B + 2*B) = 15
2*(5 + B) = 15
10 + 2*B = 15
2*B = 15 - 10 = 5
B = 5/2 = 2.5
Y con la primer ecuación:
A + B = 5
reemplazamos el valor de B:
A + 2.5 = 5
A = 5 - 2.5 = 2.5
Ambos números son 2.5.
−2x+5=−25
x =
green what’s the answer
Answer:
x = 15
Step-by-step explanation:
-2x= -25-5
-2x=-30
x= 15
Albert mixes 10 grams of 15% sugar syrup and 25 grams of 10% sugar syrup. C What is the concentration of sugar in the mixture? D If Albert adds x grams of pure sugar to his mixture, how many grams of sugar will the mixture contain now? E After Albert adds the x grams of sugar, how many grams of mixture does Albert have? F Suppose we know that after he adds the x grams of sugar, Albert's mixture is 25% sugar syrup. Write an equation. G Solve the equation from part (f) to find how many grams of pure sugar Albert needs to add to achieve 25% concentration. A How many grams of sugar does the mixture contain? B How many grams of mixture does Albert have now?
Answer: 14a is 4 grams 14 b is 35 grams
Step-by-step explanation:
Which value is in the domain of f(x)?
(+5
2x + 5, -6 < X 0
f(x) =
-2x + 3,0 < x < 4
) -7
0 -6
4
05
Answer:
it's 4 on edge
Step-by-step explanation:
I got it right
The value is in the domain of f(x) is 4, the correct option is C.
What is the domain and range of the function?
The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
We are given that;
f(x) =-2x + 3,0 < x < 4
Now,
The domain of a function is the set of all possible input values for which the function is defined. In this case, the function f(x) is defined by two different expressions depending on the value of x. The first expression, 2x + 5, applies when -6 < x < 0. The second expression, -2x + 3, applies when 0 < x < 4. Therefore, the domain of f(x) is the union of these two intervals:
Domain of f(x) = (-6, 0) U (0, 4)
Therefore, by the domain the answer will be 4.
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12.- En una fábrica 15 obreras cubren un pedido de faldas en nueve dias de
trabajo, ¿cuántas obreras más tendrán que contratarse para que el pedido sea
entregado en tres días?
A) 5
B) 15
C) 25
D) 30
Answer:
I speak englush
Step-by-step explanation:
I speak English
-6(-6x + 1) plz answer
Answer:
36x - 7
Step-by-step explanation:
please help me , I don't understand how to do this
Answer:
10 more eggs
Step-by-step explanation:
If each egg equals 5 eggs then
pen 3 has a total of 25 eggs
Pen 2 has a total of 5
pen 5 has a total of 10
10 + 5=15
25-15= 10
Hope this helps ^-^
Answer:
10
Step-by-step explanation:
First I would convert all the egg drawings to the actual number:
Pen 3: 25 eggs
Pen 2: 5 eggs
Pen 5: 10 eggs
Then I would add pens 5 and 2 together, this would sum up to 15.
Lastly, I would subtract 15 from 25 = 10 eggs
can somebody please try to break down how to solve systems of equations by substitution as much as possible? i've used so many apps but i still can't get a grasp of it. please!!! 20 points. please don't answer just for the points!!!
Answer:
okay, so let's take an example problem:
y = x + 4 where "y" = 5
so first, you plug in 5 in "y"'s place like so:
5 = x + 4
then, you solve for "x"
5 - 4 = 1
so therfore:
x = 1
if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.
You are walking in the woods when you spot a bald eagle high up in a tree. You measure the angle of elevation to the eagle to be 67 degrees. You then walk directly to the tree and determine that you were standing 150 ft from the tree when you saw the bald eagle. How high up in the tree was the bald eagle?
Answer:
Step-by-step explanation:
infinite
The height of up in the tree was the bald eagle is, 352.5 feet
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
You measure the angle of elevation to the eagle to be 67 degrees.
And, The angle of elevation to the eagle to be 67 degrees.
Now, Let the height of up in the tree was the bald eagle is, x
Hence, We can formulate;
⇒ tan 67° = x / 150
⇒ 2.35 = x / 150
⇒ x = 2.35 × 150
⇒ x = 352.5 feet
Thus, The height of up in the tree was the bald eagle is, 352.5 feet
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an inground rectangular pool has a concrete pathway surrounding the pool. If the pool is 16 feet by 32 feet and the entire are of the pool including the walkway is 924ft^2, find the width of the walkway.
Answer:
Step-by-step explanation:
[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]
PLEASE!! HELP!!
Question
Select the correct location on the number line.
Plot the square root of 3 on the number line.
H
1
2
Answer:
2nd dot from the left (in the 1.7 column)
Step-by-step explanation:
the square root of 3 is 1.73
each interval on that number line goes by one tenths
(1.1, 1.2, 1.3, etc.)
so counting 7 spaces from the number one should land you at 1.7
(the second red dot from the left)
hope i was able to help!
allison read 4/8 of an hour everyday of the week. How many hours does she read each week
Answer:
3 1/2 hours
Step-by-step explanation:
Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2
Answer:
Step-by-step explanation:
Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.
We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.
School Week: 5 Days
30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)
Regular Week: 7 Days
30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)
Please mark me the brainliest or not ! I hope this answers your question
Consider the polynomial function q(x) = 3x^4 – 5x^3 – 2x^2 + x – 18.
What is the end behavior of the graph of q?
Answer:
a in the picture
Step-by-step explanation:
The end behaviour of the function is correctly represented by option 1.
What is the end behaviour of a function? What do you mean by domain and range of a function?The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).
For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.
Given is the following function polynomial as -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
The given polynomial is -
q(x) = 3x⁴ – 5x³ – 2x² + x – 18
Graph the function. It can be seen that the domain is limited from -
x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].
Hence, the end behaviour of the function is correctly represented by option 1.
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The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table?
? feet by ? feet
PLS .I really need help.Thank you
Answer:
4 ft by 2 ft
Step-by-step explanation:
4*2=8
4+4+2+2=12
Vera claimed the solution set on the number line represents the inequality Negative 78.9999 greater-than-or-equal-to x.
A number line going from negative 83 to negative 77. A closed circle is at negative 79. Everything to the left of the circle is shaded.
Which error did Vera make?
Vera wrote the inequality with the variable on the left side of the relation symbol.
Vera wrote a relation symbol that does not represent the direction of the ray.
Vera selected an inequality that does not include –79 in its solution set.
Vera used the wrong number in her inequality.
Answer:
Step-by-step explanation:
Vera used the wrong number in her inequality.
Please note this question was very confusing for me.
Answer:
D
Step-by-step explanation:
The person above me is right, but if you wanted to know the letter, it's D
:D
What is s??
A 44°
B 35.3°
C. 37.9°
D. 22°
Answer: Choice B) 35.3 degrees
======================================================
Work Shown:
Apply the law of sines
sin(S)/s = sin(R)/r
sin(S)/16 = sin(120)/24
sin(S) = 16*sin(120)/24
sin(S) = 0.57735026918962
S = arcsin(0.57735026918962)
S = 35.2643896827542
S = 35.3
Make sure your calculator is in degree mode.
I won a sweepstakes and will receive money every week for 52 weeks. The first week, I will receive $500 and every week after that I will receive $50 more than I received the previous week. How much money will I receive over the course of the 52 Weeks?
25 Points.
Answer:
$3100
Step-by-step explanation:
You can determine this by multiplying 52 by 50, because you get 50 dollars for 52 weeks, then add 500 to it, because you get 500 dollars at first. 52 times 50 is equal to 2600, and 2600 + 500 is equal to 3100. You will receive $3100 over the course of 52 weeks.