Answer: The length is 13cm and the width is 7cm
Step-by-step explanation:
For a rectangle of length L and width W, the area is:
A = W*L
In this case we have:
L = (2*x + 9) cm
W=(3*x + 1) cm
Then the area of the rectangle is:
A = (2*x + 9)*(3*x + 1) cm^2
A = (6*x^2 + 2*x + 27*x + 9) cm^2
A = (6*x^2 + 29*x + 9) cm^2
now we remove two squares with sides of x cm
The area of each one of these squares is (x cm)*(x cm) = x^2 cm^2
Then the area of the figure will be:
area = (6*x^2 + 29*x + 9) cm^2 - (2*x^2 ) cm^2
area = (4*x^2 + 29*x + 9) cm^2
Now we know that the area of this shape is 83 cm^2, then we need to solve:
83 cm^2 = (4*x^2 + 29*x + 9) cm^2
0 = (4*x^2 + 29*x + 9) cm^2 - 83 cm^2
0 = (4*x^2 + 29*x - 74) cm^2
Then we need to solve:
0 = 4*x^2 + 29*x - 74
Here we can use Bhaskara's equation, the solutions of this equation are given by:
[tex]x = \frac{-29 \pm \sqrt{29^2 - 4*4*(-74)} }{2*4} = \frac{-29 \pm 45}{8}[/tex]
Then the two solutions are:
x = (-29 - 45)/8 = -9.25 (for how the length and width are defined, we can not have x as a negative number, then this solution can be discarded).
The other solution is:
x = (-29 + 45)/8 = 2
x = 2
Then the length and width of the rectangle are:
Length = (2*2 + 9)cm = 13 cm
Width = (3*2 + 1)cm = 7cm
GIVING BRAINLIEST!!!! Please help :(
Select the statement that describes this expression: (10 − 3) x 4 + 5.
A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3
the perimeter of a rectangular garden used 86 feet of barbed wire. The length of the garden is 7 feet more than its width. Find the dimensions of the garden.
answer with solution?
Answer:
Step-by-step explanation:
perimeter of a rectangle = twice the length plus twice the width
P = 2L + 2W equation 1 P = 86 ft
Given the length is seven feet more than the width
L = W + 7 equation 2
Substitute equation 2 into equation 1
P = 2(W+7) + 2W = 86 ft
2W +14 + 2W = 86 ft
4W = 86 - 14
W = 72 / 4
W = 18 feet
Find the value of X please answer as soon as anyone can!
Answer:
139
Step-by-step explanation:
180 = x + 64+45
therefore: x = 139
Answer:
x = 109
Steps:
the sum of triangle angles is 180, and since the x is an exterior angle then 180-(64+45) = 71 and since it is an exterior angle then 180-71 = 109.
PLEASE HELP!!!!
A car is traveling at a steady speed. It travels 1 1/2 miles in 2 1/4 minutes. How far will it travel in 46 minuets? In 1 hour?
Answer:
30.667, in 1 hour = 40 miles
Step-by-step explanation:
Set up a proportion so 1.5 miles / 2.25 minutes.
So 1.5/2.25 = x/46
solve for x 1.5(46)/2.25 = x so x = 30.667
In one hour is 60 minutes so 1.5(60)/2.25 = x
Please help the question is in the picture
Step-by-step explanation:
1)91°(Corresponding)
2)98°(Alternate Exterior)
3)118°(Vertically Opposite Angles,Interior On the same side of the transversal,Vertically Opposite Angles)
4)53°(Alternate Interior)
5)112°(Corresponding)
6)88°(Alternate Exterior)
7)62°(Alternate Interior)
8)73°(Vertically Opposite Angles,Interior on the same side of the transversal,Vertically Opposite Angles)
(0, 2), (5,0)
what is the slope?
Answer:
(5,0)
Step-by-step explanation:
5 is in x-axis and y is in y-axis
Answer: -2/5
Step-by-step explanation:
slope = y2-y1 / x2-x1 = (0-2)/(5-0) = -2/5
Anil scored 30 runs in the first innings of a test match. His score changed by +30 runs in the second innings. What was his score in the second innings?
Answer:
60 runs
Step-by-step explanation:
Given that:
Score in first innings = 30 runs
Change in score during second inning = + 30
The score in the second inning will be :
Score in first inning + change in score during second inning
30 + (+30)
30 + 30
= 60 runs
h( t ) = 3t - 6 which function increases faster
Find the area of the shaded region. Use 3.14 for pi.
Answer:50.88
Step-by-step explanation:
The baker's at a bakery can make 160 bagels in 4 hours how many bagesl can they bake in 16 hours? What is that rate per hour. "Explanation"
Answer:
640 bagels
Rate: 40bagels/hour
Step-by-step explanation:
If the baker's at a bakery can make 160 bagels in 4 hours, then;
160 bagels = 4 hours
To calculate the amount the baker can bake in 16hours, we can write;
x bagels = 16hours
Divide both expressions
160/x = 4/16
160/x = 1/4
Cross multiply
x* 1= 160 * 4
x = 640
Hence the baker can bake 640 bagels in 16hours
To know the rate per hour, we can write;
x bagel = 1hr
Recall that; 160bagels = 4 hours
Cross multiply
x * 4 = 1 * 160
4x = 160
x = 160/4
x = 40
Hence the rate per hour is 40bagels/hour
Find the discount in percent, when MP = ₹625 and SP = ₹562.50
HELPP!!!
Answer:
10% discount
Step-by-step explanation:
1. 625-562.5=62.5
2. 62.5/625 is 10%, so 10% discount.
*Please mark me as brainliest
Can someone help plz?
Which of the following best describes the diagonal cross-section of a basketball?
Rectangle
Circle
Triangle
Square
Answer:
circle
Step-by-step explanation:
the answer is circle!!!
The diagonal cross-section of a basketball is Circle.
What is diagonal cross-section of sphere?When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).
According to the question
The diagonal cross-section of a basketball
as basketball is sphere in shape
And , The diagonal cross-section of a sphere is Circle.
Hence, The diagonal cross-section of a basketball is Circle.
To know more about diagonal cross-section here:
https://brainly.com/question/2515278
#SPJ2
What is the equation of the line that passes through the point (-4, -6) and has a
slope of -1/2?
Answer:
y=(-1/2)x-8
Step-by-step explanation:
Answer:
y=-1/2x - 8
Use desmos to help with these problems
pls help me will give brainliest
Answer:
1120 in.³
Step-by-step explanation:
The formula for Volume is V = l*w*h
In this case it would be V = 8*14*10
14*10=140
140*8 = 1120
Therefore, the correct answer would be 1120 in.³
If the area of a rectangular garden is 12x2−20x. What is the length if the width is 4x? 8x2−168 x squared minus 16 3x2−5x3 x squared minus 5 x 8x−168 x minus 16 3x−5
Answer:
3x - 5
Step-by-step explanation:
If the area of a rectangular garden is 12x²−20x. What is the length if the width is 4x?
The formula for the Area of a rectangular shape = Length × Width
Area = 12x² - 20x
Length = 4x
Width = Area/Length
Width = 12x² - 20x/4x
Width = 12x²/4x - 20x/4x
Width = 3x - 5
The width of the Rectangular shape = 3x - 5
If you want to know how much a three-dimensional object will hold, you want to find the ________.
Answer:
Volume
Step-by-step explanation:
Answer:
Volume
Step-by-step explanation:
A population of 430 animals increases at an annual rate of 19%. Find the number of animals present after 5 years. Round your answer to the nearest whole number.
Answer:
1026Step-by-step explanation:
Initial number = 430Increase rate = 19% = 1.19 times per yearNumber of animals after 5 years:
430*1.19^5 = 1026AC = 12 in the image shown. Is BC tangent to circle A?
Α)
No, because 62 +92 = 122
B
Yes, because 62 +92 = 122.
No, because 62 +92 = 122
D)
Yes, because 62 +92 = 122
There are 2 pigs, 1 cat, 3 goats, and 4 cows at the state fair. As people enter the barn area they are randomly given one animal to pet. What is the probability that a person will pet a goat? Write your answer as a fraction, decimal, and percent.
PLS ANSWER QUICK and pls dont answer with a website answer with the answer
Fraction:
Decimal:
Percent:
Answer:
3/10
Step-by-step explanation:
Probability will be the number of goats, since goats is what you're looking for, over the number of total animals. So that gives 3/10.
To get that as a decimal, divide 3 by 10. Then take your decimal and multiply it by 100 to give the percent.
Jackson buys 19 apples 10 of them were rotten how many were left?
Answer:
Jackson has 9 apples left
Step-by-step explanation:
19 - 10 = 9
this is my 3rd time asking I really need help please
Answer:
10x3=30
Step-by-step explanation:
X=2 is 10 and x=5 is 30.
10 is the factor of 30, and 10 could be multiplied by 3 to get 30.
OR 30 could be divided by 10, and you‘ll get 3.
Hope this helped! :)
Please at least give Thanks.
Write all the factors of 26
Use commas to separate them.
1,2,13,26
Theses are the factors of 26
26
------------
1 | 26
2 | 13
1,2,13,26
---
hope it helps
help ASAP ill mark brainliest
Steve connected a wire extension that is 3/8 foot long to another wire that is 1/2 foot long. How long is the wire with the extension?
Answer:
7/8 feet
Step-by-step explanation:
In order to add two frctions you need to make their denominator the same,
3/8 can be kept as it is and we can multiply the top and bottom of 1/2 by 4 in order to ger 4/8. Now it is easier to add together,
3/8 + 4/8= 7/8
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and y? a Add the equations to eliminate x. b Multiply the equations to eliminate y. c Write the points where the graphs of the equations intersect the x-axis. d Write the points where the graphs of the equations intersect the y-axis.
Answer:
C should be the right one
Answer:
Write the points where the graphs of the equations intersect the x-axis
Step-by-step explanation:
An unknown number y is 10 more than an unknown number x. The number y is also x less than 3
Sarah, who is 1.72 m tall, wishes to find the height of a tree. She walks 18.77
m from the base of the tree along the shadow of the tree until her head is
in a position where the tip of her shadow exactly overlaps the end of the
tree top's shadow. She is now 5.38 m from the end of the shadows. How
tall is the tree? Round to the nearest hundredth. *
Answer:
7.7 m
Step-by-step explanation:
let's give the tree height T
T = 1.72 × (18.77+5.38)/5.38
T = 1.72 × 24.15/5.38
T = 41.538/5.38
T ≈ 7.7 m
What is the area of triangle ABC
Answer:
A = 24 cm²
Step-by-step explanation:
The area (A) of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × AB × AC
Calculate AC using Pythagoras' identity
AC² + AB² = BC²
AC² + 6² = 10²
AC² + 36 = 100 ( subtract 36 from both sides )
AC² = 64 ( take the square root of both sides )
AC = [tex]\sqrt{64}[/tex] = 8
Then
A = 0.5 × 6 × 8 = 24 cm²
PLEASE ANSWER ASAP
A farmer is going to divide her 30 acre farm between two crops. Seed for crop A costs $30 per acre. Seed for crop B costs $15 per acre. The farmer can spend at most $600 on seed.
If crop B brings in a profit of $90 per acre and crop A brings in a profit of $160 per acre, how many acres of each crop should the farmer plant to maximize her profit?
Answer:
Rearrange Inequalities
0<= A <=40
0<= B <= 40
A <= -B + 40
A <= -2B + 50
Acres:: A + B <= 40
Seed:: 10A + 20B <= 500
Profit function:: P = 110A + 40B
Step-by-step explanation:
Answer:
the farmer should plant 40 acres of crop B.
Step-by-step explanation:
The restriction equations are:
x + y = 40 acres (1) (for areas; x = the area for crop A; y = the area for crop B).
10x + 20y = 700 (2) for the seed cost
or
x + 2y = 70
We have the following system of equations:
x + y = 40
x + 2y = 70
The additional obvious restrictions are x >= 0 and y >= 0.
The objective function is the profit:
F(x, y) = 60x + 70y
According to the conception/ideology of the linear programming method, we need to evaluate the
objective function F(x, y) = 60x + 70y in three points (corner points):
(0, 40), (35, 0) and (10, 30)
We need to find the point where the objective function is maximal:
F(0, 40) = 60*0 + 70*40 = $2,800
F(35, 0) = 60*35 + 70*0 = $2,100
F(10, 30) = 60*10 + 70*30 = $2,700
Follows, the farmer should plant 40 acres of crop B.
I NEED HELP ASAP!!!
Do a conclusion and tell how or where you will use 3D shapes in the future.
Answer:
You will use 3D shapes in the future when creating blueprints for buildings and infrastructure.
