can someone help me please?
The base of tyler's cabin is a 56 feet by 78 feet rectangle. What is the area of the base of tyler's cabin?
Strategy:
why did you choose this strategy:
Answers
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)In the upper right corner, we have an area of 70*6 = 420In the lower left corner, we have an area of 50*8 = 400In the lower right corner, we have an area of 6*8 = 48Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
Related Questions
Kalista is making a new dance outfit. She needs 2 ½ yards of fabric for the shawl. She needs 1 ¾ yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need? If each yard of fabric cost $7.98, how much money does she need?
Answers
Answer:
$9.98
Step-by-step explanation:
The first step is to calculate the total fabric that Calista has
= 2 1/2 + 1 3/4
= 5/2 + 7/4
= 17/4
The next step is to calculate the fabric that she needs
= 17/4-3
= 5/4
If each yard of fabric costs $7.98 then the amount needed can be calculated as follows
= 7.98 × 5/4
= 7.98 × 1.25
= 9.975
= $9.98
Hence Kalista needs $9.98
Using the figure below, angle FBD is 50 degree, which is true regarding angle EBF?
Answers
Answer:
<EBF = 40
Step-by-step explanation:
<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.
SOMEONE PLEASE HELP ME OUT WITH THIS PLEASE PLEASE PLEASEE I WANT TO PASS AND I DONT KNOW THAT ANSWER
Answers
Answer:
A and D
Step-by-step explanation:
C
i gotta add words so i meat the 20 character limit :)
. Triangle G H J is rotated 90 degrees about point X to form triangle S T R. Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true? TR ≅ GJ ∠S ≅ ∠H TS ≅ HG ∠R ≅ ∠G
Answers
Answer:
Answer is TS ≅ HG.
Step-by-step explanation:
When a triangle is rotated the corresponding parts are congruent.
Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.
So, ST = GH
RT= HJ
SR= GJ
<S= <G
<T = <H
<R=<J
According to them, the option TS= HG is correct.
Answer:
C. TS ≅ HG
Step-by-step explanation:
Credits to the person above!!!
Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-7, 134) (-3, 10) (5, 50)
Answers
Given:
The three points are (-7,134), (-3,10) and (5,50).
To find:
The equation of parabola using quadratic regression.
Solution:
The general equation of quadratic regression is
[tex]y=ax^2+bx+c[/tex] ...(i)
The three points are (-7,134), (-3,10) and (5,50).
Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get
[tex]y=3x^2+(-1)x+(-2)[/tex]
[tex]y=3x^2-x-2[/tex]
Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.
HELP PLSS I NEED THE ANSWERS ASAP PLSSS :((
Answers
Answer:
132 km :)))))))))))))))
Step-by-step explanation:
The Hint said to find the two things in comparison
they are:
99km----------→9litXkm----------→12litcross multiply the two equations
=99km*12lit=9lit*Xkm
=1188lit/km=9Xlit
note;
liters will annul liters
hence,
X=1188km/9
X = 132km
is the final answer
you are tiling a kitchen floor that is 10 ft wide by 4 yd long. how many square yards of tile do you need? study.com
Answers
40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tiles are needed.
To find the amount of square yards of tile needed, we will find the area. Now, to calculate the area in square yards, first thing needed in conversion of width of kitchen floor from feet to yard.
As per the known fact, 1 foot = 1÷3 yards
So, converting given width into yards, we will simply multiply
10 feet = (1÷3)×10
10 feet = 10÷3 yards
Now, calculating the square yards of tile needed or area.
Needed tiles = (10÷3)×4
Performing multiplication to find the square yards of tile needed -
Needed tiles = 40÷3 or [tex]13\frac{1}{3}[/tex] square yards.
Hence 40÷3 or [tex]13\frac{1}{3}[/tex] square yards of tile is needed.
Learn more about problems on kitchen floor tile -
https://brainly.com/question/28120160
These diagrams show the same third-degree polynomial, P(x) = 2x3 + 5x2 + x + 10, divided by a linear factor and by a quadratic factor.
Answers
The third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
A third degree polynomial is a collection of algebraic expressions such that the highest degree of the variable is 3 and there are no fractional degrees and exponential variable.
To factor a polynomial we will use the factor theorem to find the linear factor. Then by dividing the polynomial by the linear factor we will calculate the quadratic factor.
Given polynomial P(x) = 2x³ + 5x² + 7x + 10
Now by using the trial and error method factor theorem we see that
g(x) = (x+2) is a factor of P(x) .
Now let us find the quadratic factor as:
P(x) ÷ g(x) = ( 2x³ + 5x² + 7x + 10) ÷ (x+2) = 2x²+x+5
Hence the third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
To learn more about polynomial visit:
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Disclaimer: The correct polynomial is P(x) = 2x³ + 5x² + 7x + 10 .
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The equation of a circle is in the form:
(x - h)2 + (y – k)2 = 9
If the circle is centered in Quadrant III, what must be true
of h and k ?
A h> 0 and k > 0
Bh< 0 and k < 0
Ch< 0 and k > 0
Dh> 0 and k < 0
Answers
Answer:b
Step-by-step explanation:
Find the solution of the system of equations.
– 2 – 8y = -30
2x + 8y = 36
Answers
Answer:
x= 1.5
y= 4.125
Step-by-step explanation:
Step one:
given the two equations
[tex]-2x - 8y = -30-------1\\\\2x + 8y = 36--------2[/tex]
Step two:
let us subtract the equations
[tex]-2x - 8y = -30-------1\\\\ -(2x + 8y = 36)--------2\\\\0x-16y=-66[/tex]
[tex]-16y=-66\\\\16y=66[/tex]
divide both sides by 16
[tex]y=66/16\\\\y=4.125[/tex]
put y= 4.125 in equation 2
[tex]2x + 8(4.125)= 36\\\\2x+33=36\\\\2x=36-33\\\\2x=3\\\\x= 3/2\\\\x= 1.5[/tex]
what is the y-intercept of each function? f(x)=7(-x+3)
Answers
Answer:
21
Step-by-step explanation:
You have to distribute the 7 in this case:
f(x) = 7(-x + 3)
f(x) = -7x + 21
The y-intercept is the number without the x with it. So, with this function it is 21.
I hope this helps!!
- Kay :)
What’s 7/12+1/3 in fractions show your work
Answers
Answer: 7/12 + 1/3 is 11/12
Step-by-step explanation: Get a common denominator. On 1/3, multiply 3 and 1 by 4. The makes 4/12. Then, you can add 7/12 and 4/12.
7/12+1/3 in fractions is 11/12.
What is Fraction?A fraction represents a part of a whole.
We have to find the value of 7/12+1/3
We have to find the LCM of denominators 12 and 3.
The LCM of 12 and 3 is 12
7+4/12
Seven plus four is eleven
11/12
Hence, 7/12+1/3 in fractions is 11/12.
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Round 3,989.23655 to the nearest thousandth. 3,989.237 3,989.236 4,000 3,989.240
Answers
Answer:
3,989.237Step-by-step explanation:
Rounding to the nearest THOUSANDS means 3 decimal places
SOLVE: log x - log (x+4) = -1
Answers
Answer:
x = 4/9
Step-by-step explanation:
Remember when you subtract logs, you divide the numbers;
This means;
log x - log (x+4) = -1 ---------can be written as;
[tex]log\frac{x}{x+4} =-1[/tex]
Eliminate the log as
[tex]\frac{x}{x+4} =10^{-1}[/tex]
x/ x+4 = 1/10
10x=x+4 --------collect like terms
10x-x =4
9x = 4 ------find value of x
x= 4/9
help fast 15 points Which value of n makes this equation true? 57 – 1 9 5. A. n = -16 n = -2 n = 16
Answers
Answer:A) -16
Step-by-step explanation:
HELPPPPP
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x^3 -3x²+2
Answers
The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].
What are the roots of the polynomial function?Given the polynomial function in the question:
f(x) = x³ - 3x² + 2
To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.
f(x) = x³ - 3x² + 2
x³ - 3x² + 2 = 0
Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0
Equate each factor zero and solve for x:
( x - 1 ) = 0
x - 1 = 0
x = 1
( x² - 2x - 2 ) = 0
x² - 2x - 2 = 0
Using the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]
Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].
Options A, B and D are the correct answers.
Learn more about quadratic equations here: brainly.com/question/1863222
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2(i + 3) > 4(1 - i)
Answers
[tex]2(i+3)>4(1-i)[/tex]
Distribute 2 in (i+3) and 4 in (1-i)
[tex]2i+6>4-4i[/tex]
Move -4i to another side and 6 to another side. When moving to another side, you'll have to change the sign/operator to opposite (Plus -> Minus, Multiply -> Divide)
[tex]2i+4i>4-6\\6i>-2\\[/tex]
For this part, move 6 to divide -2.
[tex]i>\frac{-2}{6} \\i>\frac{-1}{3}\\i>-\frac{1}{3}[/tex]
Whenever either a numerator or a denominator is in negative, we can pull out the negative in the middle of fraction.
Note that i is the symbol of imaginary number - as defined - i = √-1 But for this one, It's just a variable if I assume.
Thus, the answer is i > -1/3
Emma can run 2 3/4 miles in 3/4 hour what is her average speed in miles per hour
Answers
Answer:The answer is 1/6
Step-by-step explanation:1/8 miles in 3/4 minutes
then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.
The answer is 1/6 (in 1 min she will ride 1/6 miles).
Which line appears to have an x-intercept of -3 and a intercept of 5?
Answers
The first graph shows the x-intercept of -3 and y - intercept of 5.
Option A is true.
What is Intercepts?
The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.
Given that;
The x - intercepts = -3
And, The y - intercepts = 5
Since,
The x - intercepts = -3
That's mean the line cross at the point - 3 on x - axis.
And, The y - intercepts = 5
That's mean the line cross at the point 5 on y - axis.
Clearly, In graph first;
The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.
Therefore,
The first graph shows the x-intercept of -3 and y - intercept of 5.
Learn more about the intercepts visit:
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You need to climb to the top of a house. You take the measurements shown. The right triangles created
by each object and its shadow are
similar. Can you use a ladder that
reaches heights of up to ? Not drawn to scale
Answers
Answer: Yes, the house is 12 m tall.
Step-by-step explanation:
Since the two triangles are similar, you can set up a proportion.
Like: [tex]\frac{x}{8.8}= \frac{1.5}{1.1}[/tex] (other proportions could be correct, as long as corresponding parts are lined up).
Solve by cross-multiplying (multiply each diagonal, then set equal).
This gives us: 1.1(x) = 8.8(1.5)
Simplify: 1.1x = 13.2
then divide both sides by 1.1 to solve for x: x = 13.2/1.1 = 12
This tells us the height of the house is 12 m. A 13 m ladder would ideally reach the top.
find the mean median and mode of the data set :15,11,14,10,12,15,15
Answers
Answer:
Mean = 13.14, Median = 14, Mode = 15
Step-by-step explanation:
The mean is the numbers added together divided by the number of numbers
15 + 11 + 14 + 10 + 12 + 15 + 15 = 92
92 / 7 = About 13.14
The median is the middle of the numbers ordered from least to greatest
10 11 12 14 15 15 15
14 is in the middle so that is the median.
The mode is the number showing up the most.
15 shows up 3 times so it is the mode.
Solve for d: 6d2 + 5d = 1.
Answers
Your apartment is at (0, 0) on a coordinate plane. You want to go to Chicken Shack (CS) and get some tasty chicken tenders, with buffalo sauce, curly fries, ranch and a Diet Pepsi. Chicken Shack's (CS) location is at (3, 4) . After Chicken Shack (CS ), you go to Baskin Robbins (BR) with your two co-workers at the location (- 4, 4) . What is the total distance you traveled?
Answers
Answer:
The answer is below
Step-by-step explanation:
The distance between two points on a coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:
[tex]|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units[/tex]
Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack
total distance travelled = AB + BC + AC = 4√2 + 7 + 5
total distance travelled = 17.66 units
A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer spent $226.50 all together.
How many washcloths did the customer buy?
Answers
Answer:
3
Step-by-step explanation:
10.50 x 3 = 31.5
15 x 13 = 195
195 + 31.5 = 226.50
For mixing paint, Bishear used the equation, 1/2x + 9 = 13, for making orange. If he puts in 8 parts red, so x = 8, would it be a solution to the equation. *
Answers
Answer:
If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.
Step-by-step explanation:
what did he do wrong
Answers
Answer:
He did not multiply 3 by the fraction 5/3.
Step-by-step explanation:
8/3=3c + 18/3
Factorise fully 5x^2+7x
Answers
Answer:
I don't find any other way or solution
Step-by-step explanation:
5x^2+7x=5x(x+7/5)
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answers
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
Help pls and thank you
Answers
What is the greatest common factor of 20 and 55?
Answers
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation: