Answer:
x = 12
Step-by-step explanation:
a² + b² = c²
16² + x² = 20²
256 + x² = 400
x² = 144
x = 12
The side of a square was reduced by 3 in and the other side was enlarged by 5 in. The area of a new rectangle is 9 square inches. Find the side of a square
Answer:
4
Step-by-step explanation:
Give the other guy a 5 star my dude lol
The square has a property of having all the sides equal. The rectangle on the other hand has its opposite sides equal. The larger side of the rectangle is called length and the smaller side is called breadth. The area of rectangle is the product of length and breadth i.e.
[tex]\rm Area\:of\:rectangle = Length\: \times Breadth[/tex]
The side of square for the given question is [tex]4\rm \: inches[/tex].
Calculation:Let the side of square be [tex]\rm x[/tex]
Given:
Area of rectangle is 9 square inches.
Side of square is reduced by 3 and other side is enlarged by 5. Therefore, dimensions of the rectangle will be:
[tex]\rm Breadth = x - 3\\\\Length = x + 5[/tex]
[tex]\rm Area\:of\:rectangle = Length\: \times Breadth\\\\9 = (x + 5)(x -3)\\\\9 = x^2 + 5x -3x -15 \\\\9 = x^2 +2x - 15 \\\\0 = x^2 +2x-15-9\\\\0 = x^2+2x-24\\\\[/tex]
On factoring the equation:
[tex]\begin{aligned} \rm x^2 + 2x -24 &= 0\\\\x^2 + 6x - 4x - 24 &= 0\\\\x(x+6)-4(x+6) &= 0\\\\(x+6)(x-4)&=0\end[/tex]
On equating [tex]\rm (x +6)[/tex] and [tex](x-4)[/tex] with 0 we get:
[tex]x = -6\\\\x=4[/tex]
Since side of square cannot be negative, [tex]x = 4[/tex] is the only correct value.
Therefore the side of square is [tex]4 \:\rm inches[/tex].
Learn more about the topic here:
https://brainly.com/question/22249467
1.
Learning Actlvities
We saw 18 big fish in a pond. Fifty percent of them were very colorful, there
are a colorful fishes.
The base in the problem is ______
2. Mr. Gonzales received the amount of 10 000 pesos after selling a computer
set cost 50,000 pesos for he has given a 20% commission
What is the rate in the problem?_____
3. In our class there 30 boys. o out of 30 are working students. It is 20% of the
total number of boys in our class.
The percentage in the problem is____
pa answer po pls
Answer:
1. 18 big fish
2. 20%
3. 0
hmmmm,
Find the unknown length x in the right triangle, to the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
What is the volume of this prism?
23.9
47.7
9.0
4.5
Mr. Higgs measures the perimeter of a common shape. One of the sides is 8 centimeters and the perimeter is 24 centimeters. If all of the sides are the same length what shape does Mr. Higgs measure?
Answer:
an equilateral triangle
Step-by-step explanation:
perimeter of an equilateral triangle is :
length of the side multiplied by 3
24 = 8 x 3
therfore its an equilateral triangle
Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
using my last points: HELP!
answer please.. need asap. algebra
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
Write with numbers:
32
Four hundred sixty seven and
100
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer: g/9
Step-by-step explanation: Cuz well it is what it is
PLS mark as brill
HELP?!????!?? For both of them number 6 &7
6. D
7. B
Hope it helps
make x the subject of mx+a=nx-2
step by step answer please
Answer:
x=
[tex] - (2 + a) \div m - n[/tex]
Last year, 20% of all claims were for weather-related damage (excluding floods), with an average weather-related damage claim being $6,500. What is the expected value (loss or gain) per weather-related claim to Acasa for every customer who chooses plan B?
-$1,380
-$180
$100
$1,180
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
Answer:
100
Step-by-step explanation:
i got it right on the test !!
Please help with this
Answer: The answer is the first choice that states “ASA”.
Step-by-step explanation: ASA means angle, side, angle. From T - Q in triangle STQ it goes from angle, side, angle. From P - M in triangle NPM it also goes from angle, side, angle.
A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9
Answer:
1/12
Step-by-step explanation:
Last week Besty made an 80 on her quiz. This week she made a 75. What is the percent of decrease in her score?
What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10
Answer:
and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d
Step-by-step explanation:
ishdbd works zjsbdjs s nsie djsid
Of the 292 students at Central Middle School, 25% are on the honor roll.
How many students are on the honor roll?
Answer:
73 students
Step-by-step explanation:
0.25×293=73
if f(x) = -x^3 + x^2 + x, find f(-2)
Answer:
Hope this helps let me know
Answer:
-(-2)^3 + (-2)^2 + -2
2^3 -2^2 -2
8+4-2
=10
DUM89 THIS QUESTION IS FOR YOU
Answer:
x+12 x-15 x-8 x-30 x+15
Step-by-step explanation:
Answer:
Step-by-step explanation:
9. (x+12)(x-3)/(x-3)= x+12
10. (x-15)(x+3)/(x+3)= x - 15
11. (x-8)^2/(x-8)= x - 8
12. (x-30)(x+3)/(x+3)= x - 30
13. (x+15)(x-2)/(x-2)= x + 15
what is 5+5x85x900/37x1000-10
Answer:
what is 5+5x85x900/37x1000-10: the answer for 5+5x85x900/37x1000-10 is 10337832.8378
Step-by-step explanation:
Find the area of the figure.
7 cm
8 cm
11 cm
The area is
square centimeters.
Answer:
let's divide the figure in rectangle and triangle.
first we should find the area of triangle.
area of triangle =1/2×base×height
area of triangle=1/2×11cm×7cm
area of triangle=38.5cm²
area of rectangle =length ×width
area of rectangle =11cm×8cm
area of rectangle =88cm²
area of the figure=38.5cm²+88cm²
area of the figure=126.5cm²
please help! i’m giving 20 points. THANK YOU!
Answer:
A. Distance KL = 7.36 m
B. Height ML = 4.25 m
C. The maximum height is 6.96 m
Step-by-step explanation:
A. Determination of distance KL
Hypothenus = KM = 8.5 m
Angle θ = 30°
Adjacent = KL =?
Cos θ = Adjacent / Hypothenus
Cos 30 = KL / 8.5
0.866 = KL / 8.5
Cross multiply
KL = 0.866 × 8.5
KL = 7.36 m
Thus, the distance is 7.36 m
B. Determination of height (ML)
Hypothenus = KM = 8.5 m
Angle θ = 30°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 30 = ML /8.5
0.5 = ML / 8.5
Cross multiply
ML = 0.5 × 8.5
ML = 4.25 m
Thus, the height is 4.25 m
C. Determination of the maximum height.
Hypothenus = KM = 8.5 m
Angle θ = 55°
Opposite = ML =?
Sine θ = Opposite /Hypothenus
Sine 55 = ML /8.5
0.8192 = ML / 8.5
Cross multiply
ML = 0.8192 × 8.5
ML = 6.96 m
Thus, the maximum height is 6.96 m
Out of his monthly salary, Josh spends 37.5% on his bills, on groceries, and on transportation. If he decides to save of the remaining part, what percentage of his salary will he save?
A.
10%
B.
6.25%
C.
7.5%
D.
8.75%
Solve the equation. Show the process, not just an answer. 6.EE.7
1) 4k = 24
2) 34 + h = 60
3) 1/5x = 30
4) m-42 = 85
Isolate the variable, note the equal sign, what you do to one side, you do to the other.
1) 4k = 24
Isolate the variable, k. Divide 4 from both sides of the equation:
(4k)/4 = (24)/4
k = 24/4
k = 6
2) 34 + h = 60
Isolate the variable, h. Subtract 34 from both sides of the equation:
34 (-34) + h = 60 (-34)
h = 60 - 34
h = 26
3) 1/5x = 30
Isolate the variable, x. Multiply 5 to both sides of the equation:
(5) * (1/5)x = (30) * (5)
x = 30 * 5
x = 150
4) m - 42 = 85
Isolate the variable, m. Add 42 to both sides of the equation:
m- 42 (+42) = 85 (+42)
m = 85 + 42
m = 127
~
A car drives ninety-one miles on seven gallons of gas. How many miles does the car
travel per gallon?
Answer:
13
Step-by-step explanation:
I’ll give points and brainalist for answer / explanation
Answer:
C. 678 in²Step-by-step explanation:
Area of circle: A = πr²foot to inch: 1 ft = 12 inGiven radius of concentric circles:
0.5 ft = 6 in1 ft = 12 in1.5 ft = 18 inThe shaded area:
Area of big circle - area of middle circle + area of small circleπ(18²) - π(12²) + π(6²) ≈ 678 in²Correct choice is C
1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *
True
False
PLEASE HELP ME!!!! PLEASE
The number of unique page views on a website is measured each day. The daily views are expressed in the table using scientific notation.
Sunday: 3.4 x 10^3
Monday: 5.37 x 10^4
Tuesday: 1.2 x 10^4
Wednesday: 9.623 x 10^3
Thursday: 2.79 x 10^4
Friday: 6.821 x 10^4
Saturday: 7.954 x 10^3
The number of views on the day with the most views is how many times as great as the number of views on the day with the fewest views?
A.) 5
B.) 8
C.) 10
D.) 20
E.) 34