Question 4 options:
The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A=lw
I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
Given the following data:
Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inchesTo find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
[tex]A = LW[/tex]
Substituting the values, we have:
[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]
x = 8 or x = -10
For the length:
when x = 8
[tex]Length = 8 +5[/tex]
Length = 13 inches.
For the width:
when x = 8
[tex]Length = 8 -3[/tex]
Length = 5 inches.
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2. Miranda earns $12 per hour at her job. If she saves 60% of her
earnings for the computer, she will be able to buy the computer
after working
hours at her job. Her total amount is $964.80
Answer: Her total amount is $964.80
1928
Step-by-step explanation:
964+964 once s
y is inversely proportional to x.
When x = 2.5, y = 4.
Find the value of y when x = 8.
Answer:
y = 32/2.5
Step-by-step explanation:
formula:
y=kx
k = y/x
k= 4/2.5
so this is k
y = 4/2.5 x
y = 4 / 2.5 × 8
y = 32/2.5
answer.) y = 32/2.5
hope it was helpful
thank you
Select ALL of the equations that are true.
(Select all that apply.)
· 16 = 3.8
3
1
6
19
=
=
=
2.8. 13 = 0.7.52
Answer:
C ( 2.8 x 13 = 0.7 x 52)
Step-by-step explanation:
2.8 x 13 = 36.4
0.7 x 52 = 36.4
36.4 = 36.4
Answer:
Answer : 36.4
Step-by-step explanation:
thanks pi sa points uwu
What is p^m multiplied by p^n equal to?
Step-by-step explanation:
p^m × p^n .....since the base is the same, add the powers
p^(m + n)
p^m + n
Note: Your teacher will grade your response to this question to ensure you receive proper credit for your answer. 16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.
Answer:
yes
Step-by-step explanation:
6^2+8^2=10^2
following the pythagoras theorem this triangle is right triangle
solve for x 10 points
3 1/5−1/4x=−4/5
3⅕ - ¼x = -⅘
-¼x = -⅘ - 3⅕
-¼x = -4 / · (-4)
x = 16
PLS HELP FOR BRAINLIST :D
Answer:
The third answer is the correct one.
Jon bought a car that costs $2150. He paid $750 down and made a payment of $95 at the end of the first month. How much did he still owe?
Answer:
$1,305
Step-by-step explanation:
subtract how much he paid for the car with how much he paid down
2150-750=1400
then subtract that by the 95 dollars he paid off in the first month
1400-95=1,305
He still needs to pay off $1,305.
Hope this helps!!
How many whole groups can you fit into 51?
Step-by-step explanation:
in one group 17members
in second group 17members
in third group 17members
Hope it helps ohh God! please make your question a little easier so the other person can understand what you mean to say/ask when we read.
Five metal cubes with sides of 5 cm are
melted and casted into
a spherical ball. Find the
volume of the sphere that is formed
What is the height, x, of the equilateral triangle?
Answer:
D: [tex]4\sqrt3[/tex]
Step-by-step explanation:
Draw the height. You notice you have split the triangle in two right triangles of sides 8 (the hypotenuse), 4 (half the horizontal side) and x. Let's apply Pythagorean theorem to the triangle: [tex]8^2 = 4^2+x^2 \rightarrow 64=16+x^2 \rightarrow x^2= 48 = 4^2\times3\\x= \sqrt48 = 4\sqrt3[/tex]
Suppose you are looking to purchase a new TV. You are placing it in an opening that is 136 cm wide but want to leave at least 2 cm of room on either side of the TV. If the TV screen measures 86 cm high, which is the correct equation to use to find the largest size TV that will fit? TV’s are measured based on the diagonal measure.
pa brainliest answer po
What is a negative control.
Answer:
Negative controls are particular samples included in the experiment that are treated the same as all the other samples but are not expected to change due to any variable in the experiment.
Step-by-step explanation:
Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?
simplify 12b+4b^2-10b
Answer:
4 b 2 + 2 b
Step-by-step explanation: hope it helps
if f(x)= -13, find x
100 IF U GET THIS RIGHT!
Answer:
Feeling like an addict that ain't had it, up and at it in a minute
If it hadn't been invented, my limit wouldn't be infinite
I'm feeling like an infant in a womb
I'ma be here 'til the tomb
Lately I've been in my room
Lookin' and lookin' at records on the wall
Hold up
Answer:
Slope:
7
y-intercept:
(0,2/5)
Step-by-step explanation:
Write a system of linear inequalities represented by the graph?
Inequality 1:
Inequality 2:
Answer:
y > x - 2
y >= 5x + 1
Step-by-step explanation:
Linear inequalities represented by the graph are y>5x+1 and y>x-2
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The first line passes through the points
(0, 1) and (-1, -4)
The slope of line is m=-4-1/-1=5
Let us find the y intercept
1=5(0)+b
b=1
So the equation of line is y=5x+1
As the shading is outside so y>5x+1
Now let us find for 2nd line
(2, 0) and (-2, -4)
m=-4/-4=1
Now y intercept is 0=2+b
b=-2
So equation is y=x-2
As shading is outside so y>x-2
Hence, linear inequalities represented by the graph are y>5x+1 and y>x-2
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#SPJ2
3 feet in 4 mintes
A.______________
B.______________ per 16 minutes
Answer:
B. 12 per 16 minutes
Step-by-step explanation:
4x4=16, so multiply 3×4 to get 12.
1/243 as an expression using a negative exponent other than -1
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
Answer:
3.33%
Step-by-step explanation:
9.90/300=0.033
pls help me with this question ...
Here is ur perfect answer
Answer:
x = 207
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
([tex]\sqrt{x}[/tex] )² + 7² = 16²
x + 49 = 256 ( subtract 49 from both sides )
x = 207
Solve for
x
x
−
6
9
=
−
5
- BRAINLIEST answerer
Answer:
64
Step-by-step explanation:
What’s the range of = 1 2 ⋅ 2 + 6 + 6
Answer: the range of 12 * 2 + 6 + 6 is 36
Step-by-step explanation:
Given trapezoid WXYZ, what is XY?
Answer:
XY = 16 ft
Step-by-step explanation:
The mid segment DE is half the sum of the parallel bases, that is
[tex]\frac{XY+WZ}{2}[/tex] = 20 ( multiply both sides by 2 to clear the fraction )
XY + WZ = 40
XY + [tex]\frac{3}{2}[/tex] XY = 40 ( multiply through by 2 to clear the fraction )
2XY + 3XY = 80
5XY = 80 ( divide both sides by 5 )
XY = 16
which of the following lines has a negative slope?
Red or Black,Blue
Answer:
black <3
Step-by-step explanation:
what is the answer to 11/12-7/9=
0.13888888888 is tour answer
Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.
Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Recall:
The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).Given the trigonometry ratio of sin A = 3/5
Recall that, sin ∅ = opp/hyp (SOH)
Thus, this means that, in sin A = 3/5,
A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent sideThus, find the value of b by applying the Pythagorean theorem.
[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)
Substitute[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]
Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Learn more about Trigonometry ratios on:
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make v the subject of the formula t=4v+3
Step-by-step explanation:
t=4v+3
t-3=4v
(t-3)/4=v
hope this helps you.