The are of a shaded region is 118 ft squared. Which equation can be- used to find the value of X, in feet?
Answers
Answer:
[tex]x^2+ 18x -130=0[/tex]
Step-by-step explanation:
Given
See attachment for diagram
Required
The equation to find x
First, calculate the area of the big rectangle using:
[tex]Area = Length * Width[/tex]
So:
[tex]A_1 = (x + 6) * (3x - 2)[/tex]
The smaller rectangle
[tex]A_2 = (x - 1) * (2x)[/tex]
The difference between this areas give the area of the shaded region.
So:
[tex]A_1 - A_1 = 118[/tex]
[tex](x+6)*(3x-2) - (x-1)*2x = 118[/tex]
Open brackets
[tex]3x^2 - 2x + 18x -12 -2x^2 +2x = 118[/tex]
Collect like terms
[tex]3x^2 -2x^2- 2x +2x+ 18x -12 - 118=0[/tex]
[tex]x^2+ 18x -130=0[/tex]
The above equation can be used to solve for x
Related Questions
the dot plot shows the number of hours that 40 students studied each week make a statement that describes the overall pattern of the data in the plot. support your statement by describing clusters,gaps and/or peaks
Answers
Answer:
ther is no dot plot
Step-by-step explanation:
A water container in the shape of a cone has a height of 5 inches and a diameter of 3.5 inches.
Enter an equation in the first blank box and a number in the second blank box to complete the statements about the
water container ___.
A. The formula to calculate the container's volume, V, with the given measurements is
B. The container can hold approximately ___ cubic inches of water. Round your answer to the nearest hundreth.
Answers
Answer
A. The formula to calculate the container's volume, V, with the given measurements is ⅓ π(1.25²)5.
B. The container can hold approximately 8.177 cubic inches of water. Round your answer to the nearest hundredth.
Step-by-Step Explanation
A. The formula to calculate any cone's volume is ⅓ πr²h. Replace the variables with the actual values of the cone. r stands for the cone base's radius, or half of the diameter. Because the diameter is 3.5, the radius is 1.25, or half of it. The h stands for the height of the cone. Now we can plug in the values. Our answer for this part is ⅓ π(1.25²)5.
B. Now to solve our equation. [tex]1.25^2[/tex] is equal to 1.5625. Now, multiply by the height. 1.5625 x 5 is equal to 7.8125. We now multiply by [tex]\pi[/tex]. We'll use 3.14 to shorten the answer a bit. Multiply 7.8125 by 3.14 and you'll get 24.53125. Last but not least, divide this by 3 (or multiply by [tex]\frac{1}{3}[/tex]). [tex]\frac{24.53125}{3}[/tex] = 8.1770833333... We now must round this to the nearest hundredth. This makes our final answer 8.177 [tex]in^3[/tex].
please help me somebody! <3
Answers
Answer: 85 m + 20
Step-by-step explanation:
Make fractions have same, common denominator. LCD = 40
7/8 = 35/40
9/10 = 36/40
2/5 = 16/40
3/1 = 120 / 40
[tex]\frac{35}{40}m+\frac{36}{40}-\frac{120}{40}m - \frac{16}{40}[/tex]
35m + 36 - 120m - 16
85 m + 20
need help with this math problem asap!!
marking brainliest and giving points
Answers
Answer:
Solution given:
y=2x-5......1.
y=-3x+10.....2.
equating equation 1 &2
2x-5=-3x+10
2x+3x=10+5
x=15/5
x=3
again
y=2×3-5=1
so
x,y=3,1 is your answer.
please help me with maths !!!
A fish was at the river-bed at a certain time. After 5 minutes, the water level of the river rose
up 2.4 cm and the water level of the river rose up again 3½cm after 4 minutes. The moment, the fish was at 14.6 cm from the river-bed and 162 cm below water level of the river.
Calculate the original height, in cm, of the water level of the river.
Answers
Answer:
170.7 cmStep-by-step explanation:
Let the original water level is x.
Use below equation to find its value:
x + 2.4 + 3 1/2 = 162 + 14.6x + 2.4 + 3.5 = 176.6x + 5.9 = 176.6x = 176.6 - 5.9x = 170.7 cm
A circle has a circumference of 37 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth.
Answers
Answer:
5.9
Step-by-step explanation:
To find radius from circumference you need to divide it by pie. So 37 divided by 3.14 is 11.7834394904. This is the diameter. Now divide it by 2, in this case it is 5.89171974522. When you round to the nearest tenth it gives you 5.9. Hope this Helps!
Given the function
y
=
(
−
6
+
x
−
6
x
2
)
(
−
9
−
9
x
)
,
y=(−6+x−6x
2
)(−9−9x), find
d
y
d
x
dx
dy
in any form.
Answers
Answer:
y=6+2x
Step-by-step explanation:
what us 8.4 x 10^5 in standard notation
Answers
Answer:
8x
Step-by-step explanation:
8x
PLS HELP ME ASAP NOW PLS ILL GIVE EXTRA POINTS PLE HELP ME
Answers
Answer:
your not showing the whole thing
Step-by-step explanation:
pls help i will give brianllent for the best answer. Ted owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?
Group of answer choices
5
12
6
4
Answers
6, 3 surfboard per wet suit
Answer:
6
Step-by-step explanation
3x2=6
ANSWER FOR BRAINLEST AND 10 POINTS
Answers
Answer:
0.05
Step-by-step explanation:
Hi! Ok, let's get started!
5 to the power of -2 is like dividing 5 by 10 to the second power.
That becomes 5 / 100 = 0.05
Hope that helps! :)
-Aphrodite
What is the value of 2x^2+6x-9 when x = 3
Answers
Answer:
45
Step-by-step explanation:
We have the equation 2x² + 6x + 9 and are asked to find the value when x =3.
To solve this, all we need to do is substitute all variables with "x" to 3. Then do the properties :
2x² + 6x + 9
2(3)² + 6(3) + 9
Do exponents first :
2(9) + 6(3) + 9
Now multiply the numbers with parenthesis next to them :
18 + 18 + 9
Add to get the answer :
45
Answer:
27
Step-by-step explanation:
We have the equation:
2x^2+6x-9
If x = 3, we can substitute 3 in for the x values.
We get the equation:
2([tex]3^{2}[/tex]) + 6(3) - 9
Using PEMDAS:
First, evaluate the power.
3^2 = 9
Then, multiply the numbers.
2 x 9 + 6 x 3 - 9
We get:
18 + 18 - 9
Simplify.
18 + 18 = 36
36 - 9 = 27
Hope this helps.
can someone please help me
Answers
Answer:
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
when you raise a number to the power with the exponent 1/2 you get it's___
A. root
B.square root
C.principal square root
D.half value
Answers
Answer:
I guess B....................
Answer:
B. square root
Step-by-step explanation:
for example
81 raise to power 1/2 is 9
square root of 81 is 9
x-11/(1/7)= -1 bjkgipbgiukffgk
Answers
Answer:
sorry but I think your question is not correct
x − 11 • 7 = −1
x − 11 • 7 = −1
2. Simplify 11×7 to 77.
x − 77 = −1
3. Add 77 to both sides.
x = −1 + 77
4. Simplify −1 + 77 to 76.
x=76
PLEASE HELP!!! There is a zombie apocalypse and Rick and Daryll decide to go zombie hunting. They begin by walking 100 yards north from their base then they hear something to the right. They make a 90 degree turn to the right and walk another 100 yards. Rick and Daryll don't want to go too far from where they started. How far are they from their starting point?
Answers
Answer:
they should be either 150 yards away or 200 yards away.
Step-by-step explanation:
Btw The walking dead was a good choice
PLEASE HELP ME IN GEOMETRY, IVE BEEN STUCK FOR HOURS!!!
Answers
Answer:
A
Step-by-step explanation:
the answer is A.
Hope this helps
1/3(x+9)=8 Please help
Answers
Answer:
I got x=15, Hope this helps!
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
[tex] \frac{1}{3} \times (x + 9) = 8 \\ \frac{x}{3} + \frac{9}{3} = 8 \\ \frac{x}{3} + 3 = 8 \\ \frac{x}{3} = 8 - 3 \\ \frac{x}{3 } = 5 \\ x = 3 \times 5 \\ x = 15[/tex]
Ana vacía una botella de agua llenando exactamente seis vasos de la misma clase. Decide cambiar los vasos y ahora para vaciar los vasos necesita veinticuatro vasos. ¿Con cuántos vasos de esta segunda clase vaciará uno de la primera?
Answers
Answer:
Se pueden llenar 4 vasos nuevos de segunda clase con agua de 1 vaso previamente llenado.
Step-by-step explanation:
Spanish
Hay 6 vasos llenos.
Quiere llenar 24 vasos con la misma agua que en los 6 vasos.
El número de vasos nuevos llenados por cada vaso viejo será = 24/6 = 4
Se pueden llenar 4 vasos nuevos de segunda clase con agua de 1 vaso previamente llenado.
English
There are 6 glasses filled.
He wants to fill 24 glasses with the same water as in the 6 glasses.
The number new glasses filled for each old glass will be= 24/6= 4
4 new second class glasses can be filled by water from 1 previously filled glass.
If 6 bales are needed to feed 20 head of cattle, how many bales are needed to feed 100 head of cattle?
Answers
Answer:
333
Step-by-step explanation:
Answer:
the answer is 30
Step-by-step explanation:
[tex]100 \div 20 = 5 \\ 6 \times 5 = 30[/tex]
Been trying to get help on this for a long time Any help ?
Answers
Answer:
the answer is 10.8 feet because I said so on foenem
Find x if y =(x - 4) - 25 and y=0
Answers
(x-4)=0
add four to both sides
x-4+4 = 0+4
simplify
x = 4
What is the value of x in the equation -6 + x = -1?
-5
-7
7
5
Answers
Mark if correct!
Answer:
x = 5
Step-by-step explanation:
... -6+5 = 1
..... you can draw a number line and move ( -6) 5 units to the right and you'll get (-1).
A class has 12 girls and 18 boys. What is the probability that a boy raises his hand and asks to go to the bathroom given a girl already left the room to go to the bathroom?
Answers
Answer:
The answer is [tex]\frac{18}{29}[/tex]
Explanation:-
Total number of students = 12 + 18 = 30
Total number of students after one girl left = 29
Number of boys = 18
Probability that a boy raises his hand and asks to go to the bathroom =
Number of boys divided by total number of students
[tex]\frac{18}{29}[/tex]
Please help!!
You rent an apartment that costs $1800 per month during the first year, but the rent
is set to go up 11.5% per year.
What would be the rent of the apartment during the
10th
year of living in the apartment? Round to the nearest tenth (if necessary).
Answers
Answer:
Rent in 10th year = $5345.90
Step-by-step explanation:
Rent of apartment during first year = $1800 per month
But growth in rent with 11.5% per year will be represented by the exponential function,
Rent in 't'th year = [tex]\text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}[/tex]
= [tex]1800(1+\frac{11.5}{100})^t[/tex]
= [tex]1800(1.115)^t[/tex]
Therefore, rent during 10th year will be,
Rent in 10th year = [tex]1800(1.115)^{10}[/tex]
= $5345.90
Answer:
4794
Step-by-step explanation:
The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?
A The range for Daniel's data is greater than Sam's range.
B The median for Daniel's data is the same as the median for Sam's data.
C The range for Daniel's data is the same as the range for Sam's data.
D The median of Sam's data is greater than the median of Daniel's data.
Answers
Answer:
B.
Step-by-step explanation:
Sam median = 12 which has 3 points scored.
Daniel median = 16 which has 3 points scored.
Both scored the same amount of data which is 3 points.
Both the ranges are 16. so it cant be A or C.
. John buys 3 balloons for $4.80 at Party Town. Karyn buys 4 balloons for $6 at Celebrate City. How much more did John pay per individual balloon? А $1.60 B $1.50 C $1.10
Answers
Answer:
John paid $1.60 per balloon while Karyn pain $1.50 per balloon.
Step-by-step explanation:
4.80 divided by 3 = 1.60
6 divided by 4 = 1.50
last year borris paid 256
Answers
Please help me with this,I will give you brainliest (only if you anwser first)
Answers
What is the solution to x^ 3 + 4x^ 2 > x + 4? –4 < x < –1 –4 < x < 1 –4 < x < –1 or x > 1 x < –4 or –1 < x < 1
Answers
Answer: did you make this up? cause i’m confused ♀️
Step-by-step explanation:
Answer:
b
Step-by-step explanation: