Answer:
x = 6
m∡ABC = 135°
Step-by-step explanation:
∡ABE ≅ ∡CBD therefore we can create the following equation:
3x + 27 = 45
3x = 18
x = 6
∡CBD and ∡ABC are supplementary so 180 - ∡CBD = m∡ABC
180 - 45 = m∡ABC
m∡ABC = 135°
A field bordering a straight stream is to be enclosed. The side bordering the stream is not to be fenced. If 1000 yards of fencing material is to be used, what are the dimensions of the largest rectangular field that can be fenced? What is the maximum area?
Answer:
x = 500 yd
y = 250 yd
A(max) = 125000 yd²
Step-by-step explanation:
Let´s call x the side parallel to the stream ( only one side to be fenced )
y the other side of the rectangular area
Then the perimeter of the rectangle is p = 2*x + 2* y ( but only 1 x will be fenced)
p = x + 2*y
1000 = x + 2 * y ⇒ y = (1000 - x )/ 2
And A(r) = x * y
Are as fuction of x
A(x) = x * ( 1000 - x ) / 2
A(x) = 1000*x / 2 - x² / 2
A´(x) = 500 - 2*x/2
A´(x) = 0 500 - x = 0
x = 500 yd
To find out if this value will bring function A to a maximum value we get the second derivative
C´´(x) = -1 C´´(x) < 0 then efectevly we got a maximum at x = 500
The side y = ( 1000 - x ) / 2
y = 500/ 2
y = 250 yd
A(max) = 250 * 500
A(max) = 125000 yd²
what is x-7=1 simplified?
Answer:
x = 8
Step-by-step explanation:
x-7=1
Add 7 to each side
x-7+7 = 1+7
x = 8
Answer:
x= 8
Step-by-step explanation:
collect like terms
x= 7+1
x= 8
A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
years. What is the value of the quantity after 3.6 decades, to the nearest hundredth?
Answer:
508.69
Step-by-step explanation:
...
PLEASE PLS HELP THANK YOU
x = ___ cm
Answer:
x = 7
Step-by-step explanation:
5/(40+5) = 3/(2x+10+3)
1/9 = 3/(2x+13)
2x+13 = 3×9
2x = 27 - 13
x = 14/2
x = 7
Answer:
Step-by-step explanation:
Since they are directly proportional:
5cm -> 3cm
40cm -> y
y = 120/5
= 24cm
2x+10 = 24
2x = 14
x = 7cm
Feel free to mark it as brainliest :D
Which expression is equivalent to (x^1/2y^-1/4z)^-2
Answer:
[tex]\sqrt{y}[/tex] ÷ xz²
Step-by-step explanation:
multiply the exponent of 'x' by -2 to get -1
multiply the exponent of 'y' by -2 to get 1/2
multiply the exponent of 'z' by -2 to get -2
= (x^-1)(y^1/2)(z^-2)
= 1/x · [tex]\sqrt{y}[/tex] · 1/z²
= [tex]\sqrt{y}[/tex] / xz²
go to my page and answers my questions for an additional 30 points
Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]m=\boxed{\frac{2}{5}}[/tex]
»»————- ★ ————-««
Here’s why:
The formula for the slope of two given lines given is 'rise over run'.⸻⸻⸻⸻
[tex]\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}[/tex]
⸻⸻⸻⸻
We are given the points (3,5) and (8,7).⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
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Factor problems 9 - 12 by using the difference of squares method.
12. x2 + 100
A. (x + 10)(x – 10)
B. (-x + 10)(x – 10)
C. (x + 10)(x + 10)
D. This polynomial cannot be factored by using the difference of squares method.
E. (x - 10)(x – 10)
F. (-x + 10)(-x – 10)
find the square root of 3 upon 5 upto 2 decimal places
Answer:
Square root of 3 upon 5:
√3÷5
= 0.3464101615137
≈ 0.35 (corrected to 2 decimal places)
write and equation in slope intercept form for the line that passes through the given points (0,7) and (1,5)
Answer:
y = -2x + 7
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - 7 / 1 - 0
-2 / 1
= -2
y = -2x + b
5 = -2(1) + b
5 = -2 + b
7 = b
A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?
Answer:
[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]
Select the correct answer.
Describe the end behavior of the given function.
$(-) = 0) – 2
O A. As x decreases, (x) approaches 2.
OB.
As x decreases, Ax) approaches negative infinity.
OC. As xincreases, fx) approaches infinity.
OD. As x increases, Ax) approaches -2.
Answer:
answer is a
Step-by-step explanation:
Describe the end behavior of the given function.
$(-) = 0) – 2
O A. As x decreases, (x) approaches 2.
OB.
As x decreases, Ax) approaches negative infinity.
OC. As xincreases, fx) approaches infinity.
OD. As x increases, Ax) approaches -2
Answer:
C.
Step-by-step explanation:
(Use desmos graphing calculator to graph it...)
4x-1/y -3=2 solve for y
PLEASE HELP DUE IN AN HOUR NO LINKS PLEASE.
Answer:
y = 3/2 when x = 15
Step-by-step explanation:
y = k / √1+x
2 = k / √1+8 = k/3
k = 6
y' = 6 / √1+15 = 6/4 = 3/2
Select the correct answer.
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages Is 180 and the standard deviation is 30
pages, what can you conclude?
ΟΑ
About 60% of the books have fewer than 150 pages.
ОВ.
About 16% of the books have fewer than 150 pages.
Ос.
About 95% of the books have more than 150 pages.
OD.
About 16% of the books have more than 150 pages.
Reset
Next
Answer:
above 95 percentage is the correct answer right away
what’s the volume ??
no links
Question:
What’s the volume ?
Answer:
Volume: 8663.2
Area : 392
Step-by-step explanation:
The formula for volume is length times width times height (L x W x H)
So
28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2
17326.4 / 2 = 8663.2
The Volume is 8663.2
And if you are looking for the Area it's 392
If−3x − 7 = 23, then 6x =_____?
Answer:
22
Step-by-step explanation:
We will first find the value of x .
Then we will multiply 6 to the value of x
Divide x^4 + 4x^3 – 2x^2 – 7 by x^2 + 1. What is the remainder?
HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram:
PLSSS HELP!!! THIS IS MY LAST QUESTION!
Nicolette decided to see what the class could earn from each activity in the same number of weeks. she decided to see how much they could earn in weeks.
a. Why do you think Nicolette chose 12 weeks?
b. how much could they earn from each activity in 12 weeks
d. how can this help Nicolette decide which way will earn more money.
Answer:
D seems most credible .
Hopefully this helped
Fine the area of a triangle with :base=7ft and height =5ft
Answer:
Step-by-step explanation:
7 x 5 = 35
35/2 = 17.5
[tex]17.5ft^{2}[/tex]
The area of the given triangle is 17.5 ft²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given a triangle with base=7ft and height =5ft
We know that area of a triangle = 1/2 × base × height
Therefore, the area of a triangle = 1/2 (7)(5) = 17.5 ft²
Hence, the area of the given triangle is 17.5 ft²
For more references on area, click;
https://brainly.com/question/27683633
#SPJ2
Help me please! No idea
Answer:
40
Step-by-step explanation:
PLEASE I NEED HELP!!
Answer:
t=75
h=19
x=9
s=6
Your welcome (:
Carter wants to cover his bedroom window with a piece of plywood to prepare for an upcoming storm. The window measures 4 1/2 feet tall and 2 1/4 feet wide. Find the area of the window.
fast please
Answer:
Step-by-step explanation:
Basically you turn 1/2 into fourths, 1/2 = 2/4
After that you would multiply 4 2/4 x 2 1/4
Then you get 10.125 turned into a fraction is 81/8
100 points
If you tell me to use quizlet or give me a wrong answer or link you will be reported
[tex]\huge{ \mathbf{ \underline{ Answer }\: \: ✓ }}[/tex]
The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .
Given terms ( common for each cylinder ) :
height (h) = 4 ftradius. (r) = 0.5 ft[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]
[tex]3.14 \times \dfrac{1}{2} \times \dfrac{1}{2} \times 4[/tex][tex] \mathrm{3.14 \: ft {}^{3} }[/tex]Since volume of each cylinder is equal, so total volume of six cylindrical post :
[tex]3.14 \times 6[/tex][tex] { \mathrm{18.84 \: ft {}^{3} }}[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Help me please please
Answer:
a)
[tex]EH = \sqrt{HG^2+EG^2} = \sqrt{4^2+6^2} = \sqrt{16+36} = \sqrt{52} = 2\sqrt{13}[/tex]b)
EG² = GH*GFEG² = 4*12EG² = 48EG = √48 = 4√3If the interest of a sum at 7.5% p.a in 4 years is Rs. 1050, find the sum
~Refer to the attachment for the solution.
[tex] \to \bf { Sum = 3500 } [/tex]
x^2 - 11x + 24 =0 in a b c form
Answer:
x^2-11x=-24
Step-by-step explanation:
Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles
Answer:
Step-by-step explanation:
This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:
[tex]\frac{miles}{hrs}:[/tex]
Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):
[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:
638x = 4466 so
x = 7 hrs
18) What value of x makes R(x) = 10
5 points
18
16
R(x)
12
10
D(x)
8-
8
Please help I don’t have much time
========================================================
Explanation:
Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.
See the diagram below.
The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.