Answer:
i)
x = 50°, alternate interior anglesz = 60°, corresponding anglesy = 180° - (50° + 60°) = 70°, straight angle is 180°ii)
b = 180° - 152° = 28°, consecutive interior anglesa + b = 58° ⇒ a = 58° - 28° = 30°, alternate interior anglesiii)
Imagine parallel line through vertex of angle x.
x = 36° + 28° = 64°iv)
Same as above:
x = 360 - (45° + 35°) = 280°I’ve been stuck on this for days I just need a simple answer
Answer:
408
Step-by-step explanation:
Surface area formula is A=2(wl+hl+hw)
Substituting these values into the formula you would get
2·(3·8+4·8+4·3)=136
136 accounts for one rectangular prism.
Since you have 3 multiply 136 by 3 which would leave you with 408
Answer:
280 in²
Step-by-step explanation:
The opposite faces are congruent , then surface area (SA ) is
SA = top/ base + front/ back + 2 sides
note for the front/ back and 2 sides we have 3 + 3 + 3 = 9 in
SA = 2(8 × 4) + 2(8 × 9) + 2(4 × 9)
= 2 × 32 + 2 × 72 + 2 × 36
= 64 + 144 + 72
= 280 in²
Please need help with this question
Answer:
D. It is a function, but it is not one-to-one.
Step-by-step explanation:
A function means that each x value has only 1 y value assigned to it.
It is not one-to-one because the x value 0 does not have any y value assigned to it. This is called an asymptote.
4 A curve has equation y=x^3 - 2x² +5. Find the coordinates of its two stationary points.
Answer:
Stationary points are (0, 5) and (4/3, 103/27)
Step-by-step explanation:
At stationary point (turning point), dy/dx :
[tex]y = {x}^{3} - 2 {x}^{2} + 5 \\ \frac{dy}{dx} = 3 {x}^{2} - 4x \\ \\ \frac{dy}{dx} = x(3x - 4)[/tex]
but dy/dx = 0:
[tex]x(3x - 4) = 0 \\ either \: x \: is \: 0 \: and \: (3x - 4) = 0 \\ x = 0 \\ and \\ 3x - 4 = 0 \\ x = \frac{4}{3} [/tex]
let y = x³ - 2x² + 5:
[tex]when \: x \: is \: 0 \\ y = 5 \\ when \: x \: is \: \frac{4}{3} \\ \\ y = {( \frac{4}{3}) }^{3} - 2 {( \frac{4}{3} )}^{2} + 5 \\ \\ y = \frac{103}{27} [/tex]
Each face of a cube is a square with a side length of 8 centimeters. What is
the total area of all of the faces of the cube?
Answer:
12
Step-by-step explanation:
the Andrew's going to be 12 because you have to
know all the sides of cube
How is the solution set of the sentence below described?
x + 5 < 7
{all numbers less than }
{all numbers less than 2}
{all numbers less than 7}
{all numbers less than 12}
none of these
Answer:
{all numbers less than 2}
Step-by-step explanation:
x cannot be greater than 2, because it would go over 7
Answer:
{all numbers less than 2}
Step-by-step explanation:
x can only be 2 or lower to make the sentence true
find the last two digits of 2^2016
which answer shows a reflection across the x -
Answer:
In transformations a reflection across the x axis produces a mirror image.
Apositive integer n is called special if n is divisible by 4. n +1 is divisible by 5, and n + 2 is divisible by 6. How many special integers smaller than 1000 are there,
Answer: 17
Hello,
Step-by-step explanation:
n is divisible by 4.
n +1 is divisible by 5
n + 2 is divisible by 6
n <1000
[tex]\left\{\begin{array}{ccc}n&=&4*k_1\\n+1&=&5*k_2\\n+2&=&6*k_3\\\end{array}\right.\\\\4*k_1+1=5k_2\Longrightarrow\ k_2=\dfrac{4k_1+1}{5} \Longrightarrow\ k_1=1+5*t\ , k_2=1+4*t\\\\4*k_1+2=6k_3\Longrightarrow\ k_3=\dfrac{4(1+5t)+2}{6} \Longrightarrow\ k_3=1+\dfrac{10*t}{3} \\\\\Longrightarrow\ t=3z\\k_3=1+10z\\n+2=6(1+10z)\\n=4+60z\\\\1000 < 4+60z \Longrightarrow\ z \leq 16\\[/tex]
There are 17: from 4+0*60=4 to 4+16*60=964.
Answer:
17
Step-by-step explanation:
these positive integers are :
4, 64, 124, 184 ... , 964
964 = 4 + (n-1) (60)
964 = 4 + 60n -60
964 = 60n -56
60n = 1020
n = 1020/60
n = 17
so, the number of special integers smaller than 1000 are = 17
(f×g) (x)
(4x+8)×(2x-12)
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
write down 1/y-2/x as a single fraction in its lowest terms
Answer:
It is (x - 2y)/xy
Step-by-step explanation:
[tex] \frac{1}{y} - \frac{2}{x} [/tex]
carry out LCM method:
LCM of y and x is xy
[tex] = \frac{x - 2y}{xy} [/tex]
Can someone match these in order correctly for me? Please do it in text not in images I can't see those as those are blocked for me!
Answers:
2^3 = 83^2 = 93^3 = 274^3 = 645^2 = 258^2 = 64==============================================
Explanation:
The notation 5^2 is the same as writing [tex]5^2[/tex]
The second number is the exponent and it tells us how many copies of the base to multiply together. In the example 5^2, we have two copies of 5 multiplied to get 5^2 = 5*5 = 25
As another example, 4^3 = 4*4*4 = 64. We have three copies of 4 multiplied due to the exponent 3. You can use a calculator for this, but I recommend doing this by hand to get practice.
Note how 4^3 = 64 and 8^2 = 64. So 64 is used twice (which is why we have two tiles labeled "64").
The tiles labeled 9, 12, 10, and 16 are never used since they don't have any matching exponential expression.
Rewrite in simplest terms: -10f – 6(-9f +2)
Answer:
-44f - 12
Step-by-step explanation:
Here's the method :
-10f - 6 (-9f + 2 )
-10f + 54f - 12
-44f - 12
Answer:
[tex]44f - 12[/tex]
Step-by-step explanation:
[tex] - 10f - 6( - 9f + 2)[/tex]
[tex] - 6( - 9 + 2)[/tex]
[tex] - 6 \times ( - 9f) - 6 \times 2[/tex]
[tex]6 \times 9f - 6 \times 2[/tex]
[tex]54f - 6 \times 2[/tex]
[tex]54f - 12[/tex]
[tex] - 10f + 54f[/tex]
[tex]( - 10 + 54)f[/tex]
[tex] = 44f - 12[/tex]
FIND DB HELP.
ITS GEOMETRY AND IM SO CONFUSED
Step-by-step explanation:
Given,
D = 1/4
B = 2/3
to find the length of DB,
DB = 1/4+2/3
= 11/12
Which numbers are a distance of 3.5 units from −4 on a number line?
A number line with increments of .5 with a range of 0 to negative 7.5
Select the two correct answers.
−7
−7.5
−6.5
−4.5
−3.5
−0.5
(help)
Please helppp!!! I have this question for geometry and I can’t figure it out.
Answer: shoot proofs
Step-by-step explanation:
What is the least positive integer by which 1922 should be divided so that the resultant integer is a
perfect square?
Answer:
1922 = 2× 31 × 31
Therefore, 1922 should be divided by 2 to get 961 which is a square of 31.
I hope this helped!
Xavier buys a two-quart bottle of juice for $5.12. What is the unit rate of the cost of the juice per fluid ounce?
Before you try that problem, answer the question below.
How many fluid ounces of juice did Xavier buy?
Answer:
2.56
Step-by-step explanation:
2 divided by 512
2 lol
Answer:
Q1. $2.56
Q2. 2 fluid ounces
Step-by-step explanation:
Q1. $5.12÷2=$2.56
Q2. 2 fluid ounces (inferred from qn)
(-4, 6) and (3,-7)
Find the distance between each pair of points
Answer:
14.76482306
Step-by-step explanation:
distance equals the square root of (x2-x1)^2 + (y2-y1)^2.
think of your ordered pairs as set 1 and set 2. (-4, 6) would be set 1 and (3, -7) would be set 2. so your equation will look similar to: (3- -4)^2 + (-7-6)^2 then you square root the whole thing and you will have your answer.
2. The ratio of chocolate to vanilla ice cream is 3 scoops to 7 scoops. If there
are 147 scoops of vanilla ice cream, how many total scoops are there?
if a set of 14 pens is 12.44 then what is the cost of each pen
Answer:
Convert to a decimal by dividing the numerator by the denominator.
$1.15 = Estimate.
pens per then .
Step-by-step explanation:
14 Divided 12.44
At a school camp there is enough food for 150 students for 5 days.
a How long would the food last if there were only 100
students?
Answer:
If there were only 100 students, there would be enough food for 3 days.
Step-by-step explanation:
Set up an equation:
Variable x = number of days
150/5 = 100/x
Cross multiply:
150 × x = 5 × 100
150x = 500
x = 3.3333...
Round down to a whole number which represents a full day of food.
x = 3
giải bất phương trình
a)2x+1/2x+2<1
b)1/x+4<1/x-2
Answer:
[tex]a)x < - \frac{2}{5} [/tex]
[tex]b)4 < - 2[/tex]
Step-by-step explanation:
[tex]a)2x + \frac{1}{2} x + 2 < 1[/tex]
[tex] = 4x + x + 4 < 2[/tex]
[tex] = 5x + 4 < 2[/tex]
[tex] = 5x < 2 - 4[/tex]
[tex] = 5x < - 2[/tex]
[tex] = x < - \frac{2}{5} [/tex]
[tex] = x < - 0.4 \times ∈( - \infty . - \frac{2}{5} )[/tex]
[tex]b) \frac{1}{x} + 4 < \frac{1}{x} - 2[/tex]
[tex] = \frac{1}{x} + 4 < \frac{1}{x} - 2.x≠0[/tex]
[tex] = 4 < - 2[/tex]
= X ∈ ∅
write the decimal 0.85 as a percentage
Answer:
0.85 = 85%
Multiply 0.85 by 100 to get 85 percent
Can someone help me with this question
Answer:
Step-by-step explanation:
I THINK ITS THE 3ED TO THE RIGHT
Answer:
Answer is 6.8.
Hope it helps
Find an equation for the line parallel to 3x+5y-4=0, with the same x-intercept as 2x-3y-6=0.
Answer:
It is 4y = -3x + 9
Step-by-step explanation:
[tex]3x + 5y - 4 = 0 \\ 5y = - 3x + 4 \\ y = - \frac{3}{4} x + 4[/tex]
since it is parallel, its slope, m is -¾
[tex]2x - 3y - 6 = 0 \\ - 3y = - 2x + 6 \\ y = \frac{2}{3} x - 2[/tex]
at x-intercept, y is zero
[tex]2 = \frac{2}{3} x \\ x = 3[/tex]
therefore
[tex]y = mx + c \\ 0 = ( - \frac{3}{4} \times 3) + c \\ c = \frac{9}{4} [/tex]
equation is
[tex]y = - \frac{3}{4} x + \frac{9}{4} \\ \\ 4y = - 3x + 9[/tex]
Is 17 a interger or a counting number
Throughout Singapore it has been estimated that about a billion (1 000 million) cubic meters of water are used each day. If we assume a population of 3 million, what is the rate of consumption of water per person?
Answer:
333 cubic meters of water are used each day by one person
Step-by-step explanation:
i need help ;^; please
Answer:
80
Good luck :)
Answer:
80
Step-by-step explanation:
[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]
[tex]\sqrt{6400}[/tex]
6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5
= 2^8 * 5^2
2^4 * 5
16*5 = 80
round 856.321 nearest 1 decimal place
Answer:
856.3
Step-by-step explanation:
What is the answer to, 2/3 / -1/2?
Answer:
[tex] \frac{ \frac{2}{3} }{ \frac{ - 1}{2} } \\ = \frac{2}{3} \times \frac{ - 2}{1} \\ = \frac{ - 4}{3} \\ thank \: you[/tex]
Answer:
-4/3
Step-by-step explanation:
[tex]\frac{2}{3} /\frac{-1}{2} \\\\\frac{2}{3} *\frac{-2}{1} \\\\\frac{-4}{3}[/tex]