Answer:
7875 square inches
Step-by-step explanation:
4ft^2 = 2ft * 2ft
4ft^2 = 3in * 3in
4ft^2 = 9in^2
For 3,500 square foot
3,500 square foot = x
Divide bith expressions
4/3500 = 9/x
4x = 9 * 3500
4x = 31500
x = 31500/4
x = 7875 square inches
Hence the area of the house in inches is 7875 square inches
Please solve the question below 5
Answer:
Answer is B
Step-by-step explanation:
P(x<2) - P(x<-2) = .9772 - .0228 = .9544
= 95%
Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer
Answer:f
( x ) = x , g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 , g ( x ) = 2 x − 2 f ( x ) = x 2 , g ( x ) = 7 x − 1
in short ways the answer is 7 x − 1
Hence , the sum is [tex]11x^2-8x-14[/tex].
WHAT IS A POLYNOMIALIn mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
How to Solve?Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].
So, we can write it as :
[tex]2x^2 -8x-6+9x^2-8[/tex]
Writing like terms together:
[tex]= 2x^2+9x^2-8x-6-8[/tex]
[tex]=11x^2-8x-14[/tex]
Hence , the answer is [tex]11x^2-8x-14[/tex].
Learn more about Algebraic expressions :
https://brainly.com/question/395066
#SPJ2
1) An i staircase has a 10 inch vertical rise per step to get to the second floor of the house. If the angle of elevation is 30.20 degrees and there are 12 feet of horizontal space total for each of the landings combined, answer the following questions showing each step of your work:
a) What is the landing space per step (in inches, rounded to the nearest inch)?
b) Find the vertical rise from the 1st floor to the 2nd floor (in feet, rounded to the nearest foot).
A and b are both questions regaurding the stairs. Answer both, and show your work to recieve brainliest.
Answer:
A)
Each landing is about 17 inches.
B)
The vertical rise from Floor 1 to Floor 2 is about 7 feet.
Step-by-step explanation:
Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)
Part A)
So, we want to find the length of [tex]\ell[/tex].
Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.
Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:
[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
Therefore:
[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]
Solve for [tex]\ell[/tex]. Cross-multiply:
[tex]\displaystyle \ell\tan(30.20)=10[/tex]
So:
[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]
The landing space per step is about 17 inches.
Part B)
We know that there are a total of 12 feet of horizontal space total for each landing.
12 feet is equivalent to (12)(12) = 144 inches.
Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.
Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.
A circle has radius 50 cm. Find the area of the circle to the nearest hundredth.
math Finding the root (30points!!!!!)
Answer:
p = [tex]\frac{12}{7}[/tex]
Step-by-step explanation:
let the root be α then the other root is 3α
The sum of the roots of a quadratic equation is
α + 3α = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{7}[/tex] = [tex]\frac{8}{7}[/tex]
Thus 4α = [tex]\frac{8}{7}[/tex] ( divide both sides by 4 )
α = [tex]\frac{2}{7}[/tex]
The product of the roots of a quadratic equation are
α × 3α = [tex]\frac{c}{a}[/tex] = [tex]\frac{p}{7}[/tex], that is
3α² = [tex]\frac{p}{7}[/tex] ← substitute value of α
3 × ([tex]\frac{2}{7}[/tex] )² = [tex]\frac{p}{7}[/tex]
3 × [tex]\frac{4}{49}[/tex] = [tex]\frac{p}{7}[/tex]
[tex]\frac{12}{49}[/tex] = [tex]\frac{p}{7}[/tex] ( cross- multiply )
49p = 84 ( divide both sides by 49 )
p = [tex]\frac{84}{49}[/tex] = [tex]\frac{12}{7}[/tex]
⚠️ANSWER NEEDED FAST⚠️
Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the
grocery store. Joey spent a total of $5.75 on the fruit. Which number line best
represents the number of bananas Joey purchased?
Answer:
Step-by-step explanation:
9
Answer:
(9)
Step-by-step explanation:
(D)
Given r(x) = x2 - 4x2 + 4x – 6, find the value
of r(2). What does your answer tell you about x-2 as a
factor of r(x)? Explain.
Answer:
We are given r(x)Additionally we are given that x=2 Hence: 4-16+8-6=10Change 2x-y=-4 into slope-intercept form with steps
Answer:
y=2x - 4
Step-by-step explanation:
slope intercept is y = mx+b, where m is slope and b is y intercept.
subtract 2x from both sides of the equation
-y = 4 - 2x
multiply each term in -y = 4 - 2x by -1
(-y) . -1 = 4 . -1 + (-2x) . -1
y= 4. -1 + (-2x) . -1
simplify
y= -4 + 2x
Reorder
y= 2x - 4
9x+ 5 = 14x — 4
I need help with this I have to solve for x
Answer:
here u go
Step-by-step explanation:
its 9/5 or 1.8. Also 1 to 4/5
matt would like to share 5/8 of a pound with 4 with his 3 friends how many pound of chocolate will each of the 4 people receive
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answer:
Step-by-step explanation:
The first one is 20%
The second one is 95%
(Can you take another picture so I can see the rest)
b. (1-4) Name two obtuse
angles in the shape
below:
Answer
ADC and BDC
Explain:
Answer:
Same like other users
Jane has an aquarium made up of two rectangular prism-shaped containers, as shown in the figure below. What is the volume of water in the aquarium?
Answer:
a
Step-by-step explanation:
Answer:
fhbfxchb xf ncvjn cvncb
Step-by-step explanation:
Find the area of the shaded region. All angles are right angles.
Will mark brainliest!!Solve for x and round to nearest tenth
Answer:
ok we know the box means 90 degrees and one corner is 63 degrees so in order to get 180 degrees we add 90+63 which is 153 then we take that away from 180 so the answer is 17
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.
a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answer:
a) the required probability is 0.0013
b) the required probability is 0.0288
c) the required probability is 0.9759
Step-by-step explanation:
Given the data in the question;
let x be the thickness measurements
Given that X follows a Normal distribution with mean μ = 5.4
standard deviation σ = 0.8
then z = x-μ / σ = x-5.4 / 0.8 follows standard Normal
a) probability that the thickness is less than 3.0 mm
P( x<3 ) = P( x-5.4 / 0.8 < 3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013
Therefore, the required probability is 0.0013
b) the thickness is more than 7.0 mm
P( x>7 ) = P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) = P( Z > 2.00)
= 1 - P( Z ≤ 2)
= 1 - 0.9772
= 0.0288
Therefore, the required probability is 0.0288
c) the thickness is between 3.0 mm and 7.0 mm
P(3< x<7 ) = P( x<7) - P(x<3)
= P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) - P( x-5.4 / 0.8 < 3-5.4 / 0.8 )
= P( Z< 2 ) - P( Z < -3)
= 0.9772 - 0.0013
= 0.9759
Therefore, the required probability is 0.9759
A store owner orders 25 calculators that cost $41 each. The store owner can sell each calculator for $50. The store owner sold 22 calculators to customers. He had to return 3 calculators that were never sold and pay a $5 charge for each returned calculator (although the initial cost is refunded). What is the storeowner's profit?
Answer:
$183
Step-by-step explanation:
He buys 25 calculators for $41 each meaning he spends $1025 in total. He was able to sell 22 calculators for $50 which amounts to $1,100. He then returns and is refunded for the original price of the 3 calculators meaning he gets $123 dollars back but he also has to pay $5 for each calculator he returned which takes away $15 from his profit. $123-$15= $108. ($1,100+$108)-$1025=$183.
What is the result when 9r^3 + 27x^2 + 11x +1 is divided by 3x + 1?
Answer:
the answer is 3x^2 + 8x + 1
Step-by-step explanation:
(I used x as the variable due to the invalid difference of variables in your question )
To find the correct answer, I had to use polynomial division.
(9 x 3 + 27 x 2 + 11 x + 1) / (3 x + 1)
= ( 3 x + 1 ) ( 3 x 2 + 8 x + 1 ) / (3 x + 1)
= 3 x 2 + 8 x + 1
Find the missing side or angle.
Round to the nearest tenth.
A=18°
B= 28°
b=100
a=[ ?]
Answer:
a = c2 +b2
Step-by-step explanation:
18=10000 + 784
10784 ÷ 18
599.111111 BUT ROUNDED WOULD BE 600.00
What is the solution to this equation?
x/2 - 7 = 15
a. 4
b.11
c.16
d.44
Pete has three dollars less than what Linda has. if together has 81 dollars how much does a person have? I NEED HELPP I CAN MAKE YOU THE BRAINLIEST
Answer:
39$ for Pete
42$ for Linda
Step-by-step explanation:
Brainliest pls :)
URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.
What is the width of the floor?
Drag the answers into the boxes to correctly complete the statements.
The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.
Answer:
Width of the floor = 10 feet
Step-by-step explanation:
Given that:
Area of rectangular floor = 80 square feet
Width of rectangular floor = w
Length of rectangular floor = w - 2
Now,
Area = Length * Width
80 = w(w-2)
[tex]80=w^2-2w\\w^2-2w-80=0\\[/tex]
Factorizing the equation,
[tex]w^2+8w-10w-80=0\\w(w+8)-10(w+10)=0\\(w+8)(w-10)=0[/tex]
Either,
w+8 = 0
w = -8
Or,
w-10 = 0
w=10
As width cannot be negative,
width = 10 feet
Hence,
Width of the floor = 10 feet
Tyler filled up his hot tub, which is a right rectangular prism, with 480 cubic feet of water. The hot tub is 12 feet long and 10 feet wide. What is the depth of the water in the hot tub?
Answer:
volume for a rectangular prism is length*width*height
480 = l * w * h (the volume equal to the equation. plug in values you know)
480 = 12 * 10 * h (multiply the right side)
480 = 120h (divide both sides by 120 to isolate the height)
height = 4 feet
height of the bathtub and depth are the same thing, so your answer is 4 feet
Step-by-step explanation:
I hope this helps :))
A triangle has two 13-cm sides and a 10-cm side. The largest circle that fits inside this triangle meets each side at a point of tangency. These points of tangency divide the sides of the triangle into segments of what lengths? What is the radius of the circle?
Answer:
[tex]r=3.33 cm[/tex]
[tex]d_{a}=5 cm[/tex]
Step-by-step explanation:
Let's use the radius equation to a circle inscribed into a triangle.
[tex]r=\sqrt{\frac{(s-a)(s-b)(s-c)}{s}}[/tex]
[tex]s=\frac{a+b+c}{2}[/tex]
In our case a = 13 mc, b = 13 cm and c = 10 cm
Then, s will be s = 18 cm
Then the radius will be:
[tex]r=\sqrt{\frac{(18-13)(18-13)(18-10)}{18}}=3.33 cm[/tex]
Now, the distance from the vertex to the nearest touchpont is given by:
[tex]d_{a}=\frac{1}{2}(a+c-b)=5[/tex]
This value is the same for each side.
I hope it helps you!
Your friend has created a dice game where the probability of winning is 0.45. If you win at least 60% in a series of n games you win the grand prize. You may choose to play a series of n = 10, 20, or 50 games. Which value of n should you choose to get the best chances of winning the grand prize?
A. n = 10
B. n = 20
C. n = 50
D. n = 10 or 20; they have the same probability
E. All three have the same probability.
Answer:
D. n = 10 or 20 they have the same probability
What’s the answer to this problem
Answer:
1.2075
Step-by-step explanation:
Multiply the speed of the turtle ( 0.69 miles per hour) by the number of hours it takes ( 1.75 hours)
Answer: 1.2075
Step-by-step explanation:
multiply 0.69*1.75 and u will get 1.2075
Please help...........
Answer:
x = 59.4°
Step-by-step explanation:
Reference angle = x
Side opposite to x° = 22
Adjacent side = 13
To find x, apply trigonometric ratio formula. Thus:
[tex] tan(x) = \frac{22}{13} [/tex]
[tex] x = tan^{-1}(\frac{22}{13}) [/tex]
[tex] x = 59.4 [/tex] (nearest tenth of degree)
I will give brainiest to whoever answers correctly !!
Answer:
34.5%
I'm not sure.
but I'm quite sure.
Answer:
The percent markup is 300%
Step-by-step explanation:
15.75 = 1575%
18.75 = 1875%
1875% - 1575% = 300%
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
9n - 7 = 5n - 19
What is n and why did you do that
Answer:
n=-3
Step-by-step explanation:
1) subtract 5n from both sides
2) Add 7 to both sides
3) divide both side by 4
Hope this helps