Answer:
[tex]\fbox{length= 10 \: in}
[/tex]
Step-by-step explanation:
Given:
Length to Width Ratio = 2:3
Area of Rectangle= 150 in²
To find:
Length of rectangle=?
Solution:
Assume the length of rectangle is 2x
and the width of rectangle is 3x
Now,
we know that,
[tex]\sf\: Area \: of \: Rectangle = Length \times Width \\ \sf \: 150 = 2x \: \times 3x \\ \sf \: 150 =6 {x}^{2} \\ \sf \: {x}^{2} = \frac{150}{6} \\ \sf {x}^{2} = \cancel\frac{150}{6} \\\sf {x}^{2} = 25 \\\sf \sqrt{ {x}^{2} } = \sqrt{ {25} } \\ \sf \sqrt{ {x}^{2} } = \sqrt{ {5}^{2} } \\ \sf \: \fbox{x = 5 \: in}[/tex]
Substituting the value of x in assumption,
[tex] \sf \: length= 2x \\ \sf \: length= 2 \times 5 \\ \sf \: \fbox{length= 10 \: in}
[/tex]
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5 How many balls can Brad put in a box that has 6 x 6 balls in the bottom layer and 5
layers? Show your work.
A product is the outcome of multiplication. Brad can put 144 balls in the box.
What is multiplication?A product is the outcome of multiplication or an expression that indicates the elements that will be multiplied.
Given that the bottom layer of the box has 6×6 balls, while the box has 5 layers. Since one layer is already arranged, therefore, there are only 4 layers left in which each layer will have 6×6 balls. Therefore, the total number of balls is,
[tex]\text{Total number of ball} = 4 \times 6\times 6 = 144[/tex]
Hence, Brad can put 144 balls in the box.
Learn more about Mulitplication:
https://brainly.com/question/14059007
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The area of a rectangular knitted blanket is 33x' - 5x-2. What are the possible dimensions of the blanket? Use factoring.
Answer:
12
Step-by-step explanation:
I am in 12th grade and make straight A;s trust me
A 200 pound person weighs 33 pounds on the moon. Type the answers in the boxes below. 1. How much did the person's weight decrease?
Find the slope formula (2,8) and (4,14)
Answer:
3
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], plugging in the given values, we'll have: [tex]\frac{14-8}{4-2}[/tex]
[tex]\frac{14-8}{4-2}[/tex]
[tex]\frac{6}{2}\\\\=3[/tex]
hope this helps!
Answer:
The slope is 3.Step-by-step explanation:
You have to solve this using the slope formula in order to get the right answer.
[tex]\underline{\text{SLOPE:}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{Y_2-Y_1}{X_2-X_1} }[/tex]
y2= 14
y1= 8
x2= 4
x1= 2
Rewrite the problem.
[tex]\sf{\dfrac{14-8}{4-2}=\dfrac{6}{2}=\boxed{\sf{3}}[/tex]
Therefore, the slope is 3, which is the correct answer.I hope this helps. Let me know if you have any questions.
If the rate of markup on selling price is 40%, what is the rate of markup on cost.
16. The figure below is a regular hexagon inscribed
inside a circle that has a radius of 6 in.
What is the area of the hexagon?
Answer:
The answer my good friend is 7776 because if you do 6 to the 5th power or 6x6x6x6x6 you will get 7776.
Step-by-step explanation:
what is greater a eight grader has a brother and a sister or that there are two boys in the family
Answer:105
Step-by-step explanation:
(What the domain and range )
PLEASE HELPP I GIVE OUT MORE POINTS AND BRAINIST ONLY IF YOUR RIGHT THO I DO CHECK IT PLEASE AND THANK YOU !!
Answer:
Domain: 0 ≤ x ≤ 4
Range: 0 ≤ y ≤ 64
Step-by-step explanation:
Information
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
From inspection of the diagram, the minimum value of x is 0 and the maximum value of x is 4.
Therefore, the domain is: 0 ≤ x ≤ 4
From inspection of the diagram, the minimum value of y is 0 and the maximum value of y is 64.
Therefore, the range is: 0 ≤ y ≤ 64
Remember:-
If a pair be (x,y) then
x is domainy is rangehence
Here x goes from 0 to 4 so domain is
[0,4]Y goes from 0 to 64 hence range is
[0,64]which expression is equivalent to (-5x^2-7x-10)-(2x^2-2x+7)
Answer:
746
Step-by-step explanation:
i got the same question
Answer:
7x+10
Step-by-step explanation:
First, distribute the 2
2(x+5) +5x
2*x+2*5 +5x
2x+10+5x
Combine like terms
2x+5x+10
7x+10
The effect of pH on the action of a certain enzyme is shown on the accompanying graph what is the domain of this function
PLEASE HELP ASAP I DO GIVE OUT 200 WORTH OF POINTS ONLY IF YOUR RIGHT I DO CHECK IT PLEASE AND THANK YOU !!
Answer:
4 less (less than or Equal to) X (less than or Equal to) 13
Step-by-step explanation:
Note:-
Domain is set of x valuesRange is set of y valuesHere
we can see
x goes from (4,0) to (13,0)Hence domain
4≤x≤13im not sure how to solve this can somebody help
The population of organisms is described by the following exponential equation:
P(t) = 18,000*(0.9966)^t
How to get the exponential equation?
The general exponential equation is:
P(t) = A*(b)^t
Where A is the initial value, b depends on the percentage that changes, and t is the variable.
In this case, the population decreases by 3.4%, then we have:
B = 1 - 3.4%/100% = 0.9966
And the initial value is 18,000 organisms, replacing that in the general equation we get:
P(t) = 18,000*(0.9966)^t
This is the equation that represents the population.
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
PLEASE SOLVE ASAP!! 100 POINTS
Answer:
∠DBC = 155°
Step-by-step explanation:
Assuming that ABC is a straight line.
Angles on a straight line sum to 180°.
⇒ (2x² + 3x - 2) + ∠DBC = 180°
⇒ ∠DBC = 180° - (2x² + 3x - 2)
The sum of the interior angles of a triangle is 180°:
⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°
⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)
Therefore, we can equate the equations and solve for x:
⇒ ∠DBC = ∠DBC
⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)
⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)
⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0
⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0
⇒ x² - x - 6 = 0
⇒ x² + 2x - 3x - 6 = 0
⇒ x(x + 2) - 3(x + 2) = 0
⇒ (x + 2)(x - 3) = 0
Therefore, x = -2, x = 3
As angles are positive, x = 3 only
Substituting found value of x into the angle expressions:
⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°
⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°
The sum of the interior angles of a triangle is 180°:
⇒ ∠DBC + ∠BDC + ∠DCB = 180°
⇒ ∠DBC = 180° - ∠BDC - ∠DCB
⇒ ∠DBC = 180° - 10° - 15°
⇒ ∠DBC = 155°
Sum of two interiors=exterior
x²+1+4x+3=2x²+3x-2x²+4x+4=2x²+3x-22x+6=x²x²-x+6=0(x-3)(x+2)=0Take it positive
x=3Now
2x²+3x-22(3)²+3(3)-22(9)+9-218+725Now
<DBC=180-25=155°
HELP WILL MARK BRALINEST
The root of the system of equations is x = -1
That is, the lines intersect at (x,y)= (-1,-5)
Use the diagram shown to answer the question.
What is the value of tan 0?
Answer:
tan is opposite over adjacent soo 12/15=4/5
Step-by-step explanation:
soo the answer is C
John owns a clothing store
Answer:
I think John does not own a clothing store
Need Help solving Please and thank you
Step-by-step explanation:
area of inner rectangle = 10*8 = 80 units^2
area of outer rectangle = 12*10 = 120 units^2
area of shaded portion = 40units^2
If somebody sells TVs and the formula they use is A = 800 + 200t and A = her total income and t = the amount they sell, how much money will they receive if they sell 9 TVs?
Answer:
$2600
Step-by-step explanation:
It is given that the variables:
A = total income
t = amount of TV they sell.
It is also given that they sold 9 TVs. Plug in 9 for t in the given equation:
A = 800 + 200t
A = 800 + 200(9)
A = 800 + 1800
A = 2600
$2600 is the total amount they will receive if they sell 9 TVs.
~
A medical researcher needs 5 people to test the effectiveness of an experimental drug. If 14 people have volunteered for the test, in how many
ways can 5 people be selected?
byAnswer: doing the trials/tests
Step-by-step explanation: Learn With Brainly
Simplify. Write the answer with positive exponents only.
x2 x4
Answer:
[tex]\frac{1}{x^2}[/tex]
Step-by-step explanation:
Hey there!
x^2 / x^4
≈ x * x / x * x * x * x
SIMPLIFY IT!
≈ 1 / x^2
Therefore, your answer should be:
1/x^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
2. The school play started at 8:15 P.M.
and ended at 8:56 P.M. How long
was the school play?
56 - 15 = 41min
hope it helps...!!!
Answer:
41 minutes
Step-by-step explanation:
The length of time from 8:15 PM to 8:56 PM is 41 minutes (56-15 = 41)
Please help! Area of part of a circle!!!
The sector (shaded segment + triangle) makes up 1/3 of the circle (which is evident from the fact that the labeled arc measures 120° and a full circle measures 360°). The circle has radius 96 cm, so its total area is π (96 cm)² = 9216π cm². The area of the sector is then 1/3 • 9216π cm² = 3072π cm².
The triangle is isosceles since two of its legs coincide with the radius of the circle, and the angle between these sides measures 120°, same as the arc it subtends. If b is the length of the third side in the triangle, then by the law of cosines
b² = 2 • (96 cm)² - 2 (96 cm)² cos(120°) ⇒ b = 96√3 cm
Call b the base of this triangle.
The vertex angle is 120°, so the other two angles have measure θ such that
120° + 2θ = 180°
since the interior angles of any triangle sum to 180°. Solve for θ :
2θ = 60°
θ = 30°
Draw an altitude for the triangle that connects the vertex to the base. This cuts the triangle into two smaller right triangles. Let h be the height of all these triangles. Using some trig, we find
tan(30°) = h / (b/2) ⇒ h = 48 cm
Then the area of the triangle is
1/2 bh = 1/2 • (96√3 cm) • (48 cm) = 2304√3 cm²
and the area of the shaded segment is the difference between the area of the sector and the area of the triangle:
3072π cm² - 2304√3 cm² ≈ 5660.3 cm²
3. If the circle is 360 degrees and there are 12 angles in the circle below, how many degrees are in each angle?
If we have 360 degrees and need to divide it into 12 equal angles, then all we have to do is a simple division problem.
360 / 12 = 30
There are 30 degrees in each angle.
Hope this helps!
Answer:
30 i think ???
Step-by-step explanation:
6. You roll a number cube once. What is the theoretical probability that you roll a 5 or 6?
Answer:
2/6, 1/3, 33.33%
Step-by-step explanation:
To roll a 5 or 6, meaning 2 numbers.
There are a total of 6 numbers on the die.
Therefore, it would be 2 out of 6, or 2/6.
Simplified: 1/3 or 33.33%
Shawn will build a rectangular shaped table that will have a length of 6 feet and an area of up to 78 square feet. Which inequality represents all of the possible lengths in feet of the widths, w, that Shawn can use to build the table?
A: w ≥ 84
B: w ≥ 468
C: w ≤ 13
D: w ≤ 72
NO LINKS!!!!
Edward opens up a savings account with $250. The bank gives him an interest rate of 2.8% per year (simple interest). About long will it take for Edward to double his money?
(SHOW WORK!!)
Equation:________________
Answer:_________________
Step-by-step explanation:
The interest I per t years is 2.8% of invested amount P
I = PrtLet the interest amount is same as invested amount, then our equation is
P = Prt or1 = rt or1 = 0.028t 2.8% converted to 0.0028Find the value of t
t = 1/0.028t = 35.71 or roughly 36 yearsAnswer:
Equation: 250(1 + 0.028t) = 500
Answer: 36 years
Step-by-step explanation:
Simple interest formula
A = P(1 + rt)
where:
A = final amountP = principalr = interest rate (in decimal form)t = time (in years)Given:
A = double $250 = $500P = $250r = 2.8% = 0.028Substitute given values into the formula and solve for t:
250(1 + 0.028t) = 500
⇒ 250 +7t = 500
⇒ 7t = 250
⇒ t = 250/7
⇒ t = 35.71428571...
So it will take approximately 36 years for Edward to double his money.
HELPPPP Me I dont KNOW HOW TO DO MATH
Step-by-step explanation:
The lines meet at (6,0)
That is the solution to the system of equations.
A diesel train left Bangalore and traveled west at an average speed
of 59 km/h. A freight train left at the same time and traveled in the
opposite direction with an average speed of 67 km/h. Find the number of
hours the freight train needs to travel before the trains are 1008 km
apart.
Answer:
8
Step-by-step explanation:
we'll make x the number of hours and set up the following equation:
59km x + 67km x = 1008km
Now we solve for x(hours)
126x = 1008
x = 8
please help im bad at math
Answer:
1,000 mm³
Step-by-step explanation:
To find the volume we use the formula:
V = L×W×H (L=length, W=width and H=height)
Since we are given all values we substitute the values to give us:
V= 10×10×10 = 1000
Units will be mm³ as this is volume.
Answer:
if it's area, it's the first one
Which point is not on the graph of the equation: y = 10 + x?
A. (0, 10)
B. (3, 13)
C. (8, 2)
D. (5, 15)
Al the points except (8, 2) will give us a true equation when substituted into the equaton, so, (8, 0) is not the graph of the equation.
What is a Point on a Graph of an Equation?Any coordinate point on a graph represented by an equation will give a true equation if the points are plugged into the equation and evaluated.
(8, 2) is not on the graph of y = 10 + x because substituting x = 8 and y = 2 into the equation will give us:
2 = 10 + 8
2 = 18 (not true).
The rest points will give us a true equation except (8, 2).
(8, 2) is not a point on the graph.
Learn more about point on a graph on:
https://brainly.com/question/19701097
Help help math math math
Answer: The slope is 3
Step-by-step explanation:
The formula for slope is [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Where
[tex](x_1,y_1)[/tex]= coordinates of the first point in the line
[tex](x_2,y_2)[/tex]= coordinates of the second point in the line
Let's use (2,-3) for the first point and (4, 3) for the second point.
Sub the values into our formula
[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\\\frac{3-(-3)}{4-2}[/tex]
Now simplify
[tex]\frac{3-(-3)}{4-2}\\\frac{6}{2}\\3[/tex]
Answer:
The slope is 3
Step-by-step explanation: