Answer:
F. 122º
Step-by-step explanation:
By definition, the sum of 2 supplementary angles is 180º
Hence 58º + x = 180º
x = 180º - 58º - 122º
What is the answer to the question 7 1/3 - 3 2/3 =
Answer:
11/3
Step-by-step explanation:
convert the 7 1/3 to 22/3 then convert the 3 2/3 to 11/3 and subtract.
A castle entrance has walls that can be modeled by the equation StartFraction x squared Over 10 squared EndFraction minus StartFraction y squared Over 30 squared EndFraction = 1 with units in feet. How wide is the entrance where the walls are closest together?
10 ft
20 ft
30 ft
60 ft
Answer:
20
Step-by-step explanation:
For n = 10 and π = 0.68, what is P(X= 3)?
Given the equation that’s uploaded below!
Please help!!!!!
Answer:
0.01296 to 5 decimal places.
Step-by-step explanation:
P(3) = 10! / 3! 7! * (0.68)^3 (1 - 0.68)^(10-3)
= 120 * (0.68)^3 * (0.32)^7
= 120 * 0.314432 * 0.00034359738
= 0.01296456
describe a set of transformations that would map triangle FGH onto F'G'H
Answer:
Describe a set of transformations that would map triangle FGH onto F'G'H
Step-by-step explanation:
A car with an initial value of $20,000 is purchased. The value of the car
depreciates (decreases) at a rate of 20% per year. Which equation(s) from
the list below correctly represents the value of the car over time, with
t
Answer:
Second and third one
Step-by-step explanation:
2 nd and third one ( are the same equation)
You invest $6000 in a savings account drawing 5.25% interest annually. How much will be in the account in 15 years? ( round to the nearest cent (2 decimal places) )
Answer:
$ 12 926.56
Step-by-step explanation:
If compounded annually:
FV = 6000 ( 1 + .0525)^15 =
Look at the triangle:
What is the value of cos x?
8 divided by 17
17 divided by 8
15 divided by 17
8 divided by 15
Answer:
3rd option
Step-by-step explanation:
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{15}{17}[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
5.
Step-by-step explanation:
Have you heard of something called reading?
an object moves at a constant rate along a circular path with a radius 10 inches and makes 3 revolutions in 2 seconds.What is the linear velocity,in inches per second,of a point on the edge of the wheel
radius= 10 inches
3 revolutions in 2 seconds.
to find:the linear velocity.
solution:[tex]2\pi \: r = 2 \times \pi \times 10[/tex]
[tex] = 62.85inches[/tex]
[tex](3 \times 62.85)[/tex]
[tex] = 188.57[/tex]
[tex] \frac{188.87}{2} [/tex]
[tex] = 94.28[/tex]
hence, the linear velocity of the object is 94.28 in/s.
Pls pls pls help me po:)
Which expression could be used to determine the area of the shaded figure?
Please help me answer this
Answer:
The answer is B
Step-by-step explanation:
Btw if its wrong im sorry
solve the one in the middle asking for f'(10)
From the definition, we have
[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{f(x) - f(10)}{x - 10}[/tex]
With [tex]f(x)=\sqrt{x-1}[/tex], we get [tex]f(10)=\sqrt{10-1}=\sqrt9=3[/tex]. So the limit we want to compute is
[tex]\displaystyle f'(10) = \lim_{x\to0} \frac{\sqrt{x-1} - 3}{x - 10}[/tex]
Rationalize the numerator by multiplying by its conjugate:
[tex]\displaystyle \frac{\sqrt{x-1} - 3}{x - 10} \times \frac{\sqrt{x-1}+3}{\sqrt{x-1}+3} = \frac{\left(\sqrt{x-1}\right)^2-3^2}{(x-10)\left(\sqrt{x-1}+3\right)} = \frac{x-10}{(x-10)\left(\sqrt{x-1}+3\right)}[/tex]
x is approaching 10, which is to say x ≠ 10, so we can cancel the factors of x - 10 and remove the discontinuity.
Then we're left with
[tex]\displaystyle f'(10) = \lim_{x\to0} \frac1{\sqrt{x-1}+3} = \frac1{\sqrt{10-1}+3} = \frac1{\sqrt9+3} = \frac1{3+3} = \boxed{\frac16}[/tex]
evaluated by direct substitution, which we can do since the limand is continuous.
If the complement of the angle a is B and the supplement of the angle B is 4a, then find the measure of the angle B
[tex] \alpha + \beta = 90[/tex]
[tex] \beta + 4 \alpha = 180[/tex]
Multiply the upper system by -1:[tex] - \alpha - \beta = - 90[/tex]
[tex] \beta + 4 \alpha = 180[/tex]
Add the systems:[tex]3 \alpha = 90[/tex]
[tex] \alpha = 30[/tex]
[tex] \beta = 90 - \alpha = 90 - 30 = 60[/tex]
[tex]( \alpha = 30) < = > ( \beta = 60)[/tex]
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 56 miles per hour. Then, in the second hour, she traveled at a speed of 72 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent.
Answer
128
Step-by-step explanation:
72+56=128
You are welcome
155.5-5.5∙20.7 help me with this
Answer:
41.65
Step-by-step explanation:
First do 5.5*20.7 because of PEMDAS or GERMDAS which is basically saying the order of how to solve expressions/equations
5.5*20.7=113.85
Then subtract 113.85 from 155.5
155.5-113.85=41.65
Which of the following is always true of a dependent system of two equations?
The lines are perpendicular.
One of the lines has a positive slope and the other has a negative slope.
The lines intersect at exactly one point.
There are infinitely many solutions.
The only solution that is true about the dependent system of equations is "There are infinitely many solutions".
What is a System of equations?Inconsistent System
For a system of equations to have no real solution, the lines of the equations must be parallel to each other.
Consistent System
1. Dependent Consistent System
For a system of the equation to be a Dependent Consistent System the system must have multiple solutions for which the lines of the equation must be coinciding.
2. Independent Consistent System
For a system of equations to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.
As discussed above the Dependent consistent system has infinitely many solutions as their line are coinciding, therefore, the only solution that is true about the dependent system of equations is "There are infinitely many solutions".
Learn more about the System of equations:
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What is the best choice for r (the correlation coefficient)?
(A) r=0
B) r = -0.35
r = -0.6
(D) r = -0.90
Millions
Answer:
B) r = -0.35
Step-by-step explanation:
Correct me if I'm wrong
cyrus lives 8 miles due south of adriana. adriana lives 21 miles due west of Jane. jane lives 14 miles due south of madisyn.
the shortest distance between cyrus' house and janes house is:
The shortest distance between Adriana’s house and Madisyn’s house is:
Answer:
Step-by-step explanation:
from Cyrus' to Jane's , the distance is D= [tex]\sqrt{8^{2} +21^{2} }[/tex] = 22.47 mi
from Adriana's to Madisyn's , the dist. is D =[tex]\sqrt{21^{2} +14^{2} }[/tex] = 25.24 mi
how do I solve y-6=x-12
Answer:
x = 6
Step-by-step explanation:
Step 1. Rewrite in the form of y=mx+b
Step 2. Set y = 0 and solve for x
y - 6 = x - 12
y = x - 12 + 6
y = x - 6
0 = x - 6
6 = x
BRAINLIEST please if this helped!Answer:
y = x - 6
x = y + 6
Step-by-step explanation:
For y:
y - 6 = x - 12
y = x - 12 + 6
y = x - 6
For x:
y - 6 = x - 12
y - 6 + 12 = x
y + 6 = x
_______
Hope it helps ⚜
How does an author communicate the characters’ perspective? I WILL GIVE BRAINLYIST AND 100 POINTS
They do through following ways
They use he/she like third person pronouns instead of I/we first persons They locate only one kinds of pronoun for same person throughout the whole literature of their creation inorder to make it easier and realistic.Sometimes they use fictional stories in as part of storyIf an object is thrown upward from a 100-foot-high platform with an initial velocity of 64 feet
per second, then its height in feet is given by h(t) = -16t2 + 64t + 100 where t is time in
seconds. What is the maximum height reached by the object?
Answer:
164 ft
Step-by-step explanation:
The TIME of maximum height (this is a dome shaped parabola)
will be given by t = -b/2a = - 64 / (2)(-16) = 2 sec
Putting in t = 2 into the equation will give the max height
-16 (2^2) + 64(2) + 100 = max = 164 ft
Help With This ASAP EXPLAIN !
Answer:
y=5
x=31
Step-by-step explanation:
5y=25
y=5
25+25+10x=360
50+10x=360
x=31
If $a = 4$, $b = 2$, and $c = -5$, then what is the value of $\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2}$?
Answer is not 13 or 31.
[tex]\sqrt[3]{4 a^4 b^5} = \sqrt[3]{4 \times 4^4 \times 2^5} = \sqrt[3]{(4\times 2)^5} = \sqrt[3]{(2^2\times2)^5} = \sqrt[3]{(2^3)^5} = \sqrt[3]{2^{15}} = \sqrt[3]{(2^5)^3} = 2^5 = 32[/tex]
[tex]\dfrac{a-c}{(b+c)^2} = \dfrac{4-(-5)}{(2+(-5))^2} = \dfrac{4+5}{(2-5)^2} = \dfrac9{(-3)^2} = \dfrac99 = 1[/tex]
Then the expression evaluates to 32 + 1 = 33.
The value of the expression
[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2}$[/tex]
is 33 when $a = 4$, $b = 2$, and $c = -5$.
How did we get the values?Let's substitute the given values into the expression and calculate the result:
Given:
$a = 4$
$b = 2$
$c = -5$
Substituting the values:
[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = \sqrt[3]{4(4)^4(2)^5} + \dfrac{4 - (-5)}{(2+(-5))^2}$[/tex]
Calculating the values within the cube root:
[tex]$\sqrt[3]{4(4)^4(2)^5} = \sqrt[3]{4 \cdot 256 \cdot 32} = \sqrt[3]{32768} = 32$[/tex]
Calculating the values within the fraction:
[tex]$\dfrac{4 - (-5)}{(2+(-5))^2} = \dfrac{4 + 5}{(-3)^2} = \dfrac{9}{9} = 1$[/tex]
Now we can substitute the calculated values back into the expression:
[tex]$\sqrt[3]{4a^4b^5} + \dfrac{a - c}{(b+c)^2} = 32 + 1 = 33$[/tex]
Therefore, the value of
[tex]\sqrt[3]{4a^4b^5} + \frac{a - c}{(b+c)^2} \: is \: 33 \: when \: a = 4, \: b = 2, and \: c = -5[/tex]
learn more about cube root: https://brainly.com/question/24486461
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For the given angle measure, find the measure of a supplementary angle and the measure of a complementary angle. 27
Answer:
A complementary angle is 63 degrees and supplementary angle is 153 degrees.
Step-by-step explanation:
Complementary angle:
A complementary angle adds up to 90 degrees, so you have to subtract 27 from 90. 90-27=63
Supplementary angle:
A supplementary angle adds up to 180 degrees, so you have to subtract 27 from 180. 180-27=153
asap, help me with 17 and 18.
Answer:
17. 125 ft^2
18. 9.4 in^2
Step-by-step explanation:
Both 17 and 18 are similar. You split that it into pieces.
Area of Rectangle/Square: Area = Length * Width
Area of a Triangle: Area = 1/2 * Base * Height.
17.
Area Rectangle:
Area = Length * Width
Area = 10 ft * 6 ft = 60 ft^2
Area Triangle:
Area = 1/2 * Base * Height
Area = 1/2 * 10 ft * 13 ft = 65 ft^2
Total Area = 60 ft^2 + 65 ft^2 = 125 ft^2
18.
Area Rectangle:
Area = Length * Width
Area = 2.7 in * 2 in = 5.4 in^2
Area Triangle:
Area = 1/2 * Base * Height
Area = 1/2 * 2 in * 4.4 ft = 4.4 ft^2
Total Area = 5.4 ft^2 + 4.4 ft^2 = 9.4 ft^2
Properties ar
Expressions
Question 5 of 10
Which algebraic expression is a product with a factor of 5?
A. 5(y-6)
B. -2y+ 5+ 3
O C. 5y - 7
D. 3y + 1
For this case we have the following expression:
[tex]5(y-6)[/tex]
We observe that the number 5 is a common factor of both terms within the parenthesis.
To prove it, we can apply the distributive property.
We have then:
[tex]5y-30[/tex]
We observe then that 5 is a common factor of the given expression.
Answer:
An algebraic expression that is a product with a factor of 5 is:
A) 5 (y-6)
Can someone explain why this equation equals 2?
Answer:
bc it dose
Step-by-step explanation:
on a blueprint, the bedroom wall is 6 in long. the scale factor is 1 to 24. what is the length of the actual wall?
A. 144 inches
B. 4 inches
C. 24 inches
D. 6 inches
Answer:
A
Hope This Helps! :)
Answer:
B. 4 inches
Step-by-step explanation:
(24)(1) / 6 = 4
Find the variation and an equation of variation where y varies inversely as x and y= 0.4 when x= 0.8
Hi!
The words "y varies inversely as x" automatically means we can write:
[tex]y=\cfrac{k}{x}[/tex]
Note that this is a fraction because it said "inversely". If it had said "jointly" or "directly", it would have been [tex]y=kx[/tex].
Now, we plug in the given values to solve for k.
We are given:
[tex]y = 0.4[/tex]
[tex]x = 0.8[/tex]
Plug those in and we have:
[tex]0.4=\cfrac{k}{0.8}[/tex]
Multiply both sides by [tex]0.8[/tex]:
[tex]0.32=k[/tex]
Now, with the value of [tex]k[/tex] solved for, we put it back into the original equation, and that's your answer:
[tex]y=\cfrac{0.32}{x}[/tex]
For a similar problem, see:
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