Answer:
El área de un cuadrado de lado L es:
A = L*L
Y sabemos que si el cuadrado menor tiene lado de largo L, entonces el cuadrado mayor tiene lado de largo 2*L - 1ft
Área menor = L*L = L^2
Área mayor = (2L - 1ft)*(2L - 1ft)
El área total es igual a la suma de ambas áreas:
121 ft^2 = L^2 + (2L - 1ft)*(2L - 1ft) = L^2 + 4*L^2 - 2ft*L + 1ft^2
Ahora podemos resolver esto para L.
121 ft^2 = 5*L^2 - 2ft*L + 1ft^2
0 = 5*L^2 - 2ft*L - 120 ft^2.
Usando la formula de Bhaskara, las soluciones son:
[tex]L = \frac{2ft +- \sqrt{(2ft)^2 - 4*5*(-120ft^2)} }{2*5} = \frac{2ft +- 49ft}{10}[/tex]
Las dos soluciones son:
L = (2ft + 49ft)/10 = 51ft/10 = 5.1ft
L = (2ft - 49ft)/10 = -4.7 ft
Como estamos hablando de el largo de algo, la única opción que tiene sentido es la positiva.
Entonces el largo de los lados del cuadrado menor es L = 5.1 ft
El largo de los lados del cuadrado mayor es M = 2*5.1ft - 1ft = 9.2ft
Ben bought 1 2/3 pounds of jelly beans and 2 3/8 pounds of jolly ranchers. What are the total pounds of candy that Ben bought?
Answer:
4 1/24
Step-by-step explanation:
1 2/3 +2 3/8 = 5/3 +2 3/8 = 5/3 + 19/8 = 97/ 24 =4 1/24
26 less than three times a number is -32 find the number
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Suppose a number is :
[tex]x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Three times of it means :
[tex]3x[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
26 less than above means :
[tex]3x - 26[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Equals - 32 :
[tex]3x - 26 = - 32[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the that number ;
x asked thus we need to solve the above equation for x.
Let's do it....
[tex]3x - 26 = - 32[/tex]
Add sides 26
[tex]3x - 26 + 26 = - 32 + 26[/tex]
[tex]3x = - 6[/tex]
Divide sides by 3
[tex] \frac{3}{3} x = \frac{ - 6}{3} \\ [/tex]
[tex]x = - 2[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
This is for law of sines
It says solve each triangle so what parts am I solving? Do I solve all parts or if there’s 2 angles and 1 side, I look for the other angle?
Step-by-step explanation:
Solving a triangle means finding all unknown sides and angles.
For example, in #9, the third angle is 180° − 81° − 59° = 40°.
Using law of sines, the other two sides are:
a / sin 59° = 15 / sin 40°
a = 20.0
b / sin 81° = 15 / sin 40°
b = 23.0
True or False: In order to solve the equation below, you would add 6 to each side then
multiply by 8 on each side.
g/8- 6 = -12
The ratio of boys to girls at a school is 12 to 13. If 300 students attend the school, how many are boys?
144
277
156
25
Answer: 144
Answer:
144
Step-by-step explanation:
300 divided by 13
Find two numbers if their difference is 16 and their ratio is 5:7.
please hurry
Answer:
40 and 56
Step-by-step explanation:
What is –96 ÷ +3? im a little confused when it comes to math
This du today I NEED HELP!!!!! IS URGENT!!!!!!!!!!!!!
Answer:
x = 8
Step-by-step explanation:
The perimeter of a body is the sum of all its sides.
Perimeter of the triangle;
hypothenuse + opposite + adjacent = x+6 + x + 3 + x + 9 = 3x + 18
Perimeter of the rectangle = x+1 + x + 4 + x + 1 + x + 4 = 4x + 10
Now,
Since their perimeter is equal;
3x + 18 = 4x + 10
3x - 4x = 10 - 18
-x = -8
x = 8
please help me!!! It’s due Thursday
Triangle ABC with vertices A(9,13), B(12,11) and C(8,7) scale factor: K=2 center of dilation :(11,14)
The final position of the triangle will be at A"(7, 12), B"(1,-3) and C"(-3,-7)
Given the coordinate (x,y), if this coordinate is dilated by a factor of 2, the resulting coordinate will be (2x, 2y).Given the coordinate of triangle ABC, A(9,13), B(12,11), and C(8,7), if these coordinates are dilated by a factor of 2, the resulting coordinates will be ats A'(18,26), B'(24,22) and C'(16,14)If these coordinates are dilated along the centre (11, 14), the final position of the triangle will be at A''(18-11, 26-14), B"(12-11, 11-14) and C"(8-11, 7-14) which is A"(7, 12), B"(1,-3) and C"(-3,-7)
Learn more on transformation here: https://brainly.com/question/16888151
Please help ASAP
Mark you as brainlister
If AM = MB, then AM + 5 = MB + 5.
which property
Answer:
Addition Property of Equality
Step-by-step explanation:
If A = B, then A + C = B + C
The statement is illustrating the Addition Property of Equality.
In the statement, A is AM, B is MB, and C is 5. Hope this helps!
The property of the required statement is addition Property of Equality.
It is required to find the property of the required statement.
What is a statement?A statement is a declarative sentence that is either true or false but not both. A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both.
Given:
Addition Property of Equality:
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
If A = B, then A + C = B + C
∴c=c
Therefore, the property of the required statement is addition Property of Equality.
Learn more about statement here:
https://brainly.com/question/2285414
#SPJ2
Cheryl paid $37.20 for 12 gallons of ice cream for a school picnic. How much would 1 quart of ice cream cost?
$0.68
$0.78
$3.10
$4.10
Answer:
b
Step-by-step explanation:
Answer:0.78
Step-by-step explanation:
Kevin rented a truck for one day. there was a base fee of $17.99, and there was an additional charge of 95 cents for each mile driven. Kevin had to pay $157.64 when he returned the truck. for how manny miles did he drive the truck?
Answer:
Step-by-step explanation:
Base fee = $17.99
Additional charge = $0.95 for each mile driven
If Kevin paid $157.64 when he returned the truck and we want to find out how many miles he drove the truck, step 1 would be to subtract the base fee.
157.65 - 17.99 = 139.65
This means that the remaining $139.65 is how much he paid for the miles he drove.
Since we know each mile costs $0.95.
Simply divide $139.65 by $0.95 to work out how many miles he drove.
Miles driven = 139.65 / 0.95 = ?
can someone help me pleaassee
Answer:
The slope is 1/4.
Step-by-step explanation:
M = Y2 - Y1
X2 - X1
M = 6 - 2
9 - (-7)
M = 4
16
M = 1
4
Please Help me! I'm Desperate!
Answer:
a,c,b
Step-by-step explanation:
find the sum 9.33 + 48.4
Answer:
57.73
Hope this helps!!
For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finished in nth place, where 1 ≤ n ≤ 8. There were no ties, disqualifications, or withdrawals. If no team earned more than 10 points, what is the least possible score a team could have earned?
A) 0
B) 1
C) 2
D) 3
E) 4
Answer:
D. 3 Points
Step-by-step explanation:
Given
[tex]Members = 3[/tex]
[tex]Point = 9 - n[/tex]
[tex]1 \leq\ n \leq 8[/tex]
Required
Determine the least possible score
The least point a member of a team can get is when n = 8.
i.e.
[tex]Point = 9 - n[/tex]
[tex]Point = 9- 8[/tex]
[tex]Point = 1[/tex]
To get the least score, each of the 3 members must have 1 point each.
So:
[tex]Total = 3 * 1[/tex]
[tex]Total = 3[/tex]
2.25x=27
Addition Property
Substraction Property
a) Simplify
7(x - 2)2
7X = 2
Please
Answer:
49 x2 + 28 x + 4
Step-by-step explanation:
help Anita is making headbands for her softball team. She needs a total of 34 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
cotton 5.54
flannel 2.62
fleece 4.27
terry cloth 6.52
cost less than $8 per yard cotton, flannel and fleece.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
For cotton:
5.54 ÷ 3/4
=7.39<8
For flannel:
2.62 ÷ 3/4
=3.49<8
For fleece:
4.27 ÷ 3/4
=5.69 < 8
For terry cloth:
=6.52 ÷ 3/4
= 8.69>8
So, cost less than $8 per yard cotton, flannel and fleece.
Learn more about Unitary method here:
https://brainly.com/question/22056199
#SPJ2
Find the next three numbers in the pattern.
1,4,9,16,
Answer:25,36,49
Step-by-step explanation:
Answer:
25 , 36 , 49Step-by-step explanation:
1 , 4 , 9 , 16 , 25 , 36 , 49
1 + 3 + 5 + 7 + 9 + 11 + 13 = ↑
Hope this helps! <3
Donna has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same
distance to cool down. If she runs at a speed of 10 mph and walks back at a speed of 2 mph, how long should she plan to spend walking back?
Answer:
Avg speed of the round trip = 2*10*2/(10+2) = 10/3 mi/hr
D = r*t = (10/3)*6 = 20 miles
--> 10 miles each way
--> 5 hours walking back.
She'll get bored doing that.
Step-by-step explanation:
The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?
Answer:
anor soi sena orka uzumo senda?
Solve the equation, justify
each step with an algebraic
property
50 + 3x = 7x- 2
Answer:
13
Step-by-step explanation:
Step 1:
50 + 3x = 7x - 2 Equation
Step 2:
50 = 4x - 2 Subtract 3x on both sides
Step 3:
52 = 4x Add 2 on both sides
Step 4:
x = 52 ÷ 4 Divide
Answer:
x = 13
Hope This Helps :)
Which ones are incorrect and what did they forget
Pls help me I don't get it at all?
Answer:
the answer is b
Step-by-step explanation:
use symbolab
If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?
Answer:
It could by any 2 numbers that satisfy a^2+b^2= 20.
One example would be 4 and 2:
4^2+2^2=16+4=20
I hope this helped.
What is the rate of change (slope) of the function y = −7x?
The rate of change is -7, because the standard equation is y = mx + b, where m is the slope and b is the y intercept. Here, m is what is attached to x, which is -7, s0 -7 is the slope.
-7A local sporting goods store is planning to hire up to 24 temporary employees for its annual Black Friday Sale. Experienced workers (x) will be paid $20 per hour and produce 1.5 times the profit that an inexperienced worker produces. Inexperienced workers (y) get hired at $15 per hour. The store can pay up to $400 per hour for the temporary employees. How many of each type of worker can be hired to maximize profit?
Answer:
8 experienced workers and 16 inexperienced workers
Step-by-step explanation:
Let x represent the number of experienced workers, y represent the number of inexperienced workers.
The store can hire up to 24 temporary employees, hence:
x + y ≤ 24
The store can pay up to $400 per hour, hence:
20x + 15y ≤ 400
Also, x, y > 0
The solution to the above problem is at (8, 16). Hence x = 8 and y = 16.
The profit of an experienced worker is 1.5 times the profit that an inexperienced worker. hence:
Profit = 1.5x + y
Profit = 1.5(8) + 16
Profit = 12 + 16 = 28