Answers
Answer:
∠DBC = 155°
Step-by-step explanation:
Assuming that ABC is a straight line.
Angles on a straight line sum to 180°.
⇒ (2x² + 3x - 2) + ∠DBC = 180°
⇒ ∠DBC = 180° - (2x² + 3x - 2)
The sum of the interior angles of a triangle is 180°:
⇒ (x² + 1) + (4x + 3) + ∠DBC = 180°
⇒ ∠DBC = 180° - (x² + 1) - (4x + 3)
Therefore, we can equate the equations and solve for x:
⇒ ∠DBC = ∠DBC
⇒ 180 - (2x² + 3x - 2) = 180 - (x² + 1) - (4x + 3)
⇒ 180 - 180 = (2x² + 3x - 2) - (x² + 1) - (4x + 3)
⇒ (2x² + 3x - 2) - (x² + 1) - (4x + 3) = 0
⇒ 2x² + 3x - 2 - x² - 1 - 4x - 3 = 0
⇒ x² - x - 6 = 0
⇒ x² + 2x - 3x - 6 = 0
⇒ x(x + 2) - 3(x + 2) = 0
⇒ (x + 2)(x - 3) = 0
Therefore, x = -2, x = 3
As angles are positive, x = 3 only
Substituting found value of x into the angle expressions:
⇒ ∠BDC = x² + 1 = (3)² + 1 = 10°
⇒ ∠DCB = 4x + 3 = 4(3) + 3 = 15°
The sum of the interior angles of a triangle is 180°:
⇒ ∠DBC + ∠BDC + ∠DCB = 180°
⇒ ∠DBC = 180° - ∠BDC - ∠DCB
⇒ ∠DBC = 180° - 10° - 15°
⇒ ∠DBC = 155°
Sum of two interiors=exterior
x²+1+4x+3=2x²+3x-2x²+4x+4=2x²+3x-22x+6=x²x²-x+6=0(x-3)(x+2)=0Take it positive
x=3Now
2x²+3x-22(3)²+3(3)-22(9)+9-218+725Now
<DBC=180-25=155°
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So first do stuff in parenthesis.
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So, A
Jane has a pre-paid cell phone with NextFell. She can't remember the exact costs, but her plan has a monthly fee and a charge for each minute of calling time. In June she used 450 minutes and the cost was $139.50. In July she used 870 minutes and the cost was $244.50. A) Express the monthly cost C as a function of x , the number of minutes of calling time she used.
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Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answers
Answer: diameter
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
The diameter connects two points on the edge of a circle through it's centre.
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Use tiles to find 29 + 28.
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Answer:
57?
Step-by-step explanation:
Choose the x- and y- intercepts for the graph of –3x + 6y = –30.
Answers
Answer:
Some vocabulary we should know:
mx = slope while b is the y-intercept.
-3x = x
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BRAINLIEST is APPRECIATED. This is based on speculation! Good luck in your future studies.
- daintysword
What is the interquartile range of this data 0, 5, 10, 15, 20,
Answers
Answer:
15
Step-by-step explanation:
The range from Q1 to Q3 is the interquartile range (IQR).
The interquartile range is the difference between the third and first quartiles.
The third quartile is 17.5.
The first quartile is 2.5.
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what statement best describes the relationship between the side lengths and angle measures of teo triangles
Answers
Answer:
Figure RST is congruent to figure R’S’T’.
Step-by-step explanation:
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices - a, b, c, d, e-
and only one correct answer. What is the probability that he answered neither of the problems correctly?
Do not round your answer.
0
X
?
Answers
Answer: The student answerd the problems wrong because he guessed instead of taking his time to correctly get the right answer.
Step-by-step explanation:
1. Marlene is going on a camping trip with a group of friends. She brings 3 boxes of granola bars,
plus 3 extra bars. Robyn bring 2 boxes of granola bars and Wendy brings one box. They have a
total of 57 granola bars. If each box contains the same number of bars, how many bars are in
each box?
Answers
Answer:
13.5
Step-by-step explanation:
total boxes of granola is = 3 + 2 + 1
= 6 boxes
6 boxes = 57 bars
1 box = 57 / 6
1 box = 9.5 + 3
= 13.5 (ANS)
i hope my ans is correct if not i apologise.
Marlene brought 3 boxes AND 3 extra bars so you would have to subtract those from the total before dividing.
57-3=54
54/6=9
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Answers
to find the volume of a cylinder you would do pi x radius^2 x height
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Answers
Answer:
42 cm²
Step-by-step explanation:
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Is 1/8 x 20 greater than or less than 20? Please explain!
Answers
Answer:
1/8x20 is less than 20
Step-by-step explanation:
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someone pls help will give brainliest to the first to answer
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Answer:
Help with what, I may be able to help. :)
I'm not sure how to find a Wrighteasyrement so how do I find it.
Answers
Response
I'm assuming that by 'wrighteasyrement' you meant weight measurement? If you need a conversion tool you can just look up ___ to ___ on (g-search engine). If you need the initial one, use a scale??? or a formular, you can also look those up, sorry, i'm not really sure what you're asking.
In a school, there are 6 floors and on each floor there are 8 classrooms. In each classrooms there are 40 students. How many total students are there in a school?
Answers
Students were surveyed about their preference between dogs and cats. The following two-way table displays
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Approximately what percent of students in the sample prefer cats?
Round your answer to the nearest percent.
48
Preference
Male
Female
TOTAL
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36
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No preference
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Not quite!
Try again. Get help or skip for now
Show Calculator
Answers
explained 36/100= 36%
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Answers
Answer:
90
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Answers
Answer:
reflections Couse it keeps repeating y and z bit not sure
Step-by-step explanation:
I am sorry if it is the wrong answer
Select the correct answer
Answers
Answer:
B.
Step-by-step explanation:
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Answer:
B
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4 2/3
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Answers
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If the area of one face is 11x11=121
Because it is a cube and it has six faces with the same surface area we do 121x6=726 to give us the total surface area.
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Answers
Step-by-step explanation:
(x-2)^3 = x^3-6x^2+12x-8
-(x^3-6x^2+12x-8)=
-x^3+6x^2-12x+8
-x^3+6x^2-12x+8 -5=
y=-x^3+6x^2-12x+3
I attached the picture
Answer:
NOT D graph 4
Step-by-step explanation:
Find the Value of X.
Solve for X
Answers
Answer: x=21
Step-by-step explanation:
50-90=40
40=2x-2
2*21=42
42-2=40
x=21
If y=x+4 then what is (x-y)^3
Answers
Answer:
64
Step-by-step explanation:
y = x + 4
y - x = 4
4^3 = 64
Doug would like to construct a fence
along his property borders. The scale
on his property map is 1 inch to 3 feet.
If the perimeter of his property on the
map is 10 inches, how many feet of
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[?] feet
Answers
He would need 30 feet of fencing.
if two angles in a triangle are 50 and 40, it must be a/an___________________triangle.
Answers
Answer:
right triangle
Step-by-step explanation:
Hey there!
A triangle has to have three vertices that add up to 180 degrees
The angle measurments 50 and 40 are already given and added up, they equal 90 degrees
Now out of 180 degrees, 90 degrees is already shown
What you need to do now is try to find how much more degrees you need to get 180 degrees
As you know 180-90=90
So this means that the missing angle is 90 degrees
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Since the triangle has an angle that is equal to 90 degrees, or it has a right angle, the triangle can be called a right triangle
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Answers
Answer:
A C F G H J ARE THE FIGURES WHERE AB IS AN ALTITUDE
Write the equation
for this line in
slope-intercept form.
y = ?/?x+ ?
Answers
Answer:
y = 2/3x - 1 (or y = 2/3x + -1 to fit the graphic)
Step-by-step explanation:
Slope intercept form is written as (y = mx + b) where m is slope and b is the y intercept.
First you need to find the slope, m. We'll use the two points (-3, -3) and (3, 1)
m = (y2 - y1) / (x2 - x1)
m = (1 - (-3)) / (3 - (-3))
m = 4/6
m = 2/3
Next we need the y intercept, b. On the graph we can see that is -1 but we can also find it substituting the known slope and one point on the line for our values to solve for b. We'll use (3, 1) as the point.
y = mx + b
1 = 2/3 * 3 + b
simplify 2/3 * 3
1 = 2 + b
subtract 2 from both sides
-1 = b
Now we have all the values we need to plug into our slope intercept equation (m = 2/3, b = -1)
y = mx + b
y = 2/3x - 1
[tex]\sf{y=\displaystyle\frac{2}{3} x-1[/tex]
Solution:We are given two points: (3, 1) and (-3, -3).We can use these points to find the slope of the line:m=[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{-3-1}{-3-3} =\frac{-4}{-6} =\frac{2}{3} \longleftarrow\sf{slope}[/tex]Now, we need to identify the line's y-intercept.The y-intercept is the point where the graph touches the y-axis.Since the graph touches the y-axis at (0, -1) the y-intercept is equivalent to (0, -1) or -1.Hope it helps.
Do comment if you have any query.
Help please calculus
Answers
Let x, y, and z denote the side lengths of the box, with the bottom face having dimensions x-by-y and z is the height. Naturally this means each of x, y, and z must be greater than 0.
The box has a fixed volume of 252 cm³, so
xyz = 252
The surface area of the box is
2xy + 2xz + 2yz
and we're told that the material cost for each face is different. The total cost of the material needed to make the box is given by
C (x, y, z) = ($5/cm²) xy + ($2/cm²) xy + 2 ($3/cm²) (xz + yz)
or, omitting units and simplifying,
C (x, y, z) = 7xy + 6 (x + y) z
In the volume constraint, solve for any one variable; I'll do z.
z = 252/(xy)
Substitute this into the cost function:
C (x, y, 252/(xy)) = 7xy + 1512 (x + y)/(xy)
Since this is now a function of 2 variables, I'll rewrite this as
C* (x, y) = 7xy + 1512 (1/y + 1/x)
Compute the partial derivatives of C and find the critical points:
∂C/∂x = 7y - 1512/x² = 0 ⇒ x² y = 216
∂C/∂y = 7x - 1512/y² = 0 ⇒ x y² = 216
It follows that
x² y = x y² ⇒ x = y
Just like before, we can think about C* as yet another function but only of 1 variable,
C** (x) = 7x² + 3024/x
Now find the critical points of C** :
dC**/dx = 14x - 3024/x² = 0 ⇒ x = 6
All of this tells us that C (x, y, z) has a critical point when x = y = 6 and z = 252/6² = 7. So the box that costs the least has dimensions 6 × 6 × 7 cm, which gives the box a surface area of 240 cm² and a total cost of $756.