Answer:
Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.
Step-by-step explanation:
Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet
= [tex]\frac{23}{8}[/tex] square feet
Area of rectangle is given by,
Area = Length × Width
Length of the banner = [tex]\frac{3}{4}[/tex] feet
From the formula,
[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]
W = [tex]\frac{\frac{23}{8} }{\frac{3}{4} }[/tex]
= [tex]\frac{23}{8}\times \frac{4}{3}[/tex]
= [tex]\frac{23}{6}[/tex]
= [tex]3\frac{5}{6}[/tex] ft
Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft
A recent survey of 800 seventh graders from across the state shows 4 out there of 10 like to play paper football. How many students said they like to play paper football?
Answer:
320
Step-by-step explanation:
800 = 10
x = 4
800 x 4 = 10 x
3200= 10x
x = 320
What is the geometric mean of 6 and 8?
Answer:
16 square root 6
Step-by-step explanation:
The geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
What is geometric mean?The geometric mean of two numbers [tex]x_1[/tex] and [tex]x_2[/tex] is given by the formula:
[tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
The two given numbers are 6 and 8
That is, [tex]x_1=6[/tex] and [tex]x_2=8[/tex]
Substitute [tex]x_1=6[/tex] and [tex]x_2=8[/tex] into the formula [tex]GM = \sqrt{x_1 \times \ x_2}[/tex]
[tex]GM=\sqrt{6 \times 8}[/tex]
Simplifying further:
[tex]GM=\sqrt{48} \\\\GM=4\sqrt{3}[/tex]
Therefore, the geometric mean of 6 and 8 is [tex]4\sqrt{3}[/tex]
Learn more on geometric mean here: https://brainly.com/question/1311687
Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?
A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13
pls explain the answer if possible ^^
Answer:
Option C
Step-by-step explanation:
If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.
Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:
[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]
10 does equal 10, so this is a true statement. Option C is the right answer.
I just don’t get it, please help me.
Answer:
Answer in the image below \/
Step-by-step explanation:
The radius of a circular musical drum is 70 centimeters. Find its area. Use = 3.14 (PLEASE DO NOT PUT UNNECESSARY LINKS)
Answer:
it is basically the radius times 2 and then times 3.14
Step-by-step explanation:
439.6! :D
Please answer this quick
I'm sorry but i can't really see the picture
Answer:
1/4
Step-by-step explanation:
What is the percent of change from 800,000 to 600,000?
Angles in circle solve for each variable
Answer:
Step-by-step explanation:
A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelters collectively house 1,485 dogs each year. About how many dogs in all of the city's animal shelters are puppies?
Answer: The number of dogs in all of the city's animal shelters is puppies = 270
Step-by-step explanation:
Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.
The city's animal shelters collectively house 1,485 dogs each year.
The number of dogs in all of the city's animal shelters is puppies = [tex]1485\times\dfrac{10}{55}=270[/tex]
Hence, The number of dogs in all of the city's animal shelters is puppies = 270
A person places $1380 in an investment account earning an annual rate of 8.6%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 10 years.
Answer:
V = 3261.16
Step-by-step explanation:
Given:
P = 1380
r = 8.6% or 0.086
t = 10
Work:
[tex]V=Pe^{rt}\\\\V=1380e^{0.086*10}\\\\V=1380e^{0.86}\\\\V=3261.16[/tex]
Find the angle relationship in the table
Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear
Step-by-step explanation:
I need an answer ASAP!!
Answer:
x = 8
Step-by-step explanation:
because wy bisects XZ , XY and ZY are equal so ..
2x+3=3x-5
then x is 8❤
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in meters, of the rectangle?
Your answer:
16 meters
32 meters
48 meters
Answer:
24 800cm.
Step-by-step explanation:
Length in metres =12×100=12000cm
Perimeter. =2[l+b]
Perimeter. =2[12000+400]
Perimeter. =2×12400
Perimeter. =24 800cm
Perimeter. =24 800cm÷100
Perimeter. =24.8m
PLEASE GIVE BRAINLIEST
7/15 multiplied by 5/6
Answer:
The answer will be 35/36
Answer:
[tex]\frac{7}{18}[/tex]
Step-by-step explanation:
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]
HELPPP ROUND TO THE NEAREST TENTH
What is the reference angle of 255°?
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
............................
Answer:
Thaey are proportional
Step-by-step explanation:
What are a) the ratio of the perimeters and b) the ratio of the area of the larger figure to the smaller figure?
A) 5/2 and 25/4
B) 5/2 and 7/4
C) 7/2 and 25/4
D) 7/2 and 7/4
Given:
Base of the larger figure = 30 yd
Base of the smaller figure = 12 yd
To find:
a) The ratio of the perimeters of the larger figure to the smaller figure.
b) the ratio of the area of the larger figure to the smaller figure.
Solution:
a) We know that, the ratio of perimeters pf similar figures is equal to the ratio of their sides.
The given figures are similar. So, the ratio of the perimeters is:
[tex]\text{Ratio of the perimeters}=\dfrac{\text{Base of the larger figure}}{\text{Base of the smaller figure}}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{30}{12}[/tex]
[tex]\text{Ratio of the perimeters}=\dfrac{5}{2}[/tex]
b) The ratio of area of similar figures is equal to the ratio of squares of their sides.
[tex]\text{Ratio of the areas}=\dfrac{\text{Base of the larger figure}^2}{\text{Base of the smaller figure}^2}[/tex]
[tex]\text{Ratio of the areas}=\dfrac{(30)^2}{(12)^2}[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{30}{12}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\left(\dfrac{5}{2}\right)^2[/tex]
[tex]\text{Ratio of the areas}=\dfrac{25}{4}[/tex]
Therefore, the correct option is A.
Please Help ASAP!!!!!!!!
Answer:
A
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 = 6x - 4 ← is in slope- intercept form
with y- intercept c = - 4 → A
solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x
Answer:
Step-by-step explanation:
hello : here is an solution
Hugo puts $200.00 into an account to use for school expenses. The account earns 13% interest, compounded annually. How much will be in the account after 6 years?
Answer:
y=200(1.13)^6= 416.39
Step-by-step explanation:
whats the area of the shaded region
Answer:
36 meter square
Please mark my answer as brainliest for further answers:)
HELP ASAP THIS IS DUE IN A LIVE CLASS DONT GUESS ITS QUESTION 4
Answer:
2 answers
Step-by-step explanation:
factor: 2π(hr+π)
evaluate: 2π(hr+π)
hope that helps
40 points!
You are framing a picture with a frame of equal width on each side.
a. Write a polynomial that represents the area of the picture including the frame
b. Find the area of the picture including the frame when the width of the frame is 2 inches
Answer:
Part A)
The polynomial is:
[tex]A=4(x+8)(x+10)[/tex]
Or, expanded:
[tex]A=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two inches, the area of the picture including the frame is 480 square inches.
Step-by-step explanation:
Part A)
For solely the picture, the width is 16 inches, and the length is 20 inches.
If we include the width of the frame, then we will have to add x to both sides of the 16 inches. Then the new width will be (16 + 2x) inches.
Likewise, the new length will be (20 + 2x) inches.
The area of a rectangle is given by its width multiplied by its length. Then the polynomial that represents the area will be:
[tex]A=(16+2x)(20+2x)[/tex]
To simplify calculations, we can factor out a two from both factors. Thus:
[tex]A=2(8+x)\cdot 2(10+x)=4(x+8)(x+10)[/tex]
Expanded, this will be:
[tex]A=4(x^2+18x+80)=4x^2+72x+320[/tex]
Part B)
When the width of the frame is two, x = 2. Then the area is:
[tex]A=4(2+8)(2+10)=4(10)(12)=40(12)=480\text{ inches}^2[/tex]
The area of the picture including the frame will be 480 square inches.
Without solving, identify whether each of the following equations has a unique solution, no solution, or infinitely many solutions.
2(x−3)=10x−6−8x
1 solution
No Solution
Infinite Solutions
Answer:
Infinite Solutions
Step-by-step explanation:
Simplify both sides and you will see they are equivalent meaning that it has infinite solutions
Solve for x. round your answer to the nearest tenth
Trigonometry
Answer:
[tex]\displaystyle x \approx 16.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Angle θ = 70°
Opposite Leg = x
Adjacent Leg = 6
Step 2: Solve for x
Substitute in variables [tangent]: [tex]\displaystyle tan70^\circ = \frac{x}{6}[/tex][Multiplication Property of Equality] Isolate x: [tex]\displaystyle 6tan70^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 6tan70^\circ[/tex]Evaluate: [tex]\displaystyle x = 16.4849[/tex]Round: [tex]\displaystyle x \approx 16.5[/tex]find missing exponents
Mr. Davies plans to place an aquarium on a shelf in his living room. The length of the shelf is inches, and the aquarium is inches long. Which estimation is best for centering the aquarium on the shelf?
The question is incomplete as the length of the shelf and aquarium isn't given. However, steps to take in other to make the estimation of centering the aquarium on the shelf would be described.
Answer:
Kindly check explanation
Step-by-step explanation:
Let :
Lenght of shelf = x
Length of aquarium = y
Usually, the length of shelf will be > length of aquarium
The shelf will have the right and left hand side ;
Subtract Length of aquarium from length of shelf and divide the difference by 2 ;
(x - y) / 2 ; this will give the space or length left on either side of the shelf with the aquarium centered in the middle.
Hence, the aquarium should be placed at (x - y) / 2 meters either to the right or left of the shelf.
Just input the omitted values of shelf length and aquarium length to obtain the solution.
Help please I do not get it
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Answer:
19)A 20)A 21)A 22)C 23)D 24)D 25)B 26) A 27)B
28) A 29)B 30)A 31) The surface area of Tina's shoebox is 184a..
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