Answer: [tex]36^{\circ}, 54^{\circ}, 90^{\circ}[/tex]
Step-by-step explanation:
Given
Triangle is right-angled
The ratio of smallest and largest angle is 3:5
let the angles be 3x and 5x
In a right-angled triangle, the largest angle is [tex]90^{\circ}[/tex]
[tex]\therefore5x=90^{\circ}[/tex]
[tex]x=\frac{90^{\circ}}{5}=18^{\circ}[/tex]
3x is the smallest angle. Its complementary angle is [tex]90^{\circ}-3x=90^{\circ}-3\times18^{\circ}[/tex]
Complementary angle is [tex]36^{\circ}[/tex]
[tex]3x=54^{\circ}[/tex]
[tex]5x=5\times18^{\circ}=90^{\circ}[/tex]
Which expression can be used to find the total cost of 4 bags of apples at $3.30 per bag and 6 candy bars at $1.25 each? *
4(1.25) + 6(3.3)
10(3.3)
4(3.30) + 6(1.25)
4(3.30) - 6(1.25)
Answer:
a
Step-by-step explanation:
Answer:
4(3.30)+ 6(1.25)
Step-by-step explanation:
because you would multiply 4 and 3.30 and 6 ×1.25 :)
For the function f (x) = 3 (x + 7), find -1().
Given:
The function is [tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex].
To find:
The function [tex]f^{-1}(x)[/tex].
Solution:
We have,
[tex]f(x)=3(x+7)^{\frac{1}{4}}[/tex]
Substitute f(x)=y.
[tex]y=3(x+7)^{\frac{1}{4}}[/tex]
Interchange x and y.
[tex]x=3(y+7)^{\frac{1}{4}}[/tex]
Divide both sides by 3.
[tex]\dfrac{x}{3}=(y+7)^{\frac{1}{4}}[/tex]
Taking power 4 on both sides.
[tex]\left(\dfrac{x}{3}\right)^4=y+7[/tex]
Subtract 7 from both sides.
[tex]\left(\dfrac{x}{3}\right)^4-7=y[/tex]
[tex]y=\left(\dfrac{x}{3}\right)^4-7[/tex]
Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\left(\dfrac{x}{3}\right)^4-7[/tex]
Therefore, the correct option is C.
What is the final elevation if a diver starts at 10 m and changes -6 m
Answer:
4m
Step-by-step explanation:
10m-6m=4m
Which expression has a value of 507
O A. 2x52
B. 2 x 55
C. 5 x 52
D. 5x25
Answer:
.............,...........,.......................... ans is b
The entry ticket to a local football game costs $10 for an adult and $5 for a child. A group of 100 people paid an entry fee of $710. How many adults and how many children were there in this group?
Answer: Adults = 58
Children = 42
Step-by-step explanation:
Let adults be denoted as a
Let Children be denoted as c
a + c = 100 ...... i
10a + 5c = 710 ...... ii
Multiply I by 5
Multiply ii by 1
5a + 5c = 500 ...... iii
10a + 5c = 710 ...... iv
Subtract iii from iv
5a = 210
a = 210/5
a = 42
Since a + c = 100
c = 100 - 42 = 58.
Adults = 58
Children = 42
Here is a shape on a square grid.
For the statement below, tick True or False.
The shape has four obtuse angles.
O True
O False
Answer:
True isjeididnciensucnfnduf
Answer:
False
Step-by-step explanation:
. FIRST TO ANSWER GETS BRAINLY
Subtract and reduce to lowest terms:6/9 pluse 4/9
Answer:
1 1/9
Step-by-step explanation:
I did 6/9 plus 4/9 = 10/9 so you divide 10 by 9 and it will give you 1 and 1/9 hope this is right and helpful
Identify the vertical asymptotes, horizontal asymptotes, domain, and range of each. Then sketch the graph. f(x)= 2/x +2
Answer:
Vertical Asymptote at x=0
Horizontal Asymptote at y=2
Domain: x= infinity and x doesn't = 1
Range: y= infinity and y doesn't = 2
Step-by-step explanation:
a cleaning compony charges 125$ To visit a home. and 40$ to clean each room if the total bill was $365 how many rooms were cleaned
Answer:
6 rooms were cleaned
Step-by-step explanation:
365-125=240
240/40=6 rooms
PLEASE MARK BRAINLIEST
PLEASE HELP ME PLS I NEED IT
Answer:
X=17.9
Step-by-step explanation:
can someone help me find the relative maximum and minimum? please i really need help
9514 1404 393
Answer:
relative maximum: -4relative (and absolute) minimum: -5Step-by-step explanation:
The curve has a relative maximum where values on either side are lower. This looks like a peak in the curve. There is one of those on the y-axis at y = -4.
The relative maximum is -4.
__
A relative minimum is a low point, where the curve is higher on either side. There are two of these, located symmetrically about the y-axis. The minimum appears to be about y = -5. (They might be at x = ± 1, but it is hard to tell.)
The relative minima are -5.
__
A minimum or maximum is absolute if no part of the curve is lower or higher. Here, the minima are absolute, while the maximum is only relative. (The left and right branches of the curve go higher than y=-4.)
_____
Identifying the points on the curve should be the easy part. Deciding what the coordinates are can be harder when the graph is like this one.
Use the distributive property to expand the expression (8x + 3y) - (5z + 3)
Answer:
8x+3y-5z-3
Step-by-step explanation:
8x+3y-5z-3
Just multiply the second parenthesis with the minus for your answer.
is the change constant or not constant?
if so how can you tell?
Answer:
Yes the change is constant!!!
Step-by-step explanation:
Its multiplied by 3!!!
5*3=15
10*3=30
15*3=45
Its a pattern!!! Multiple by 3
Or for every 5 books its 15 pounds.
Someone PLS HELP GIVE BRAINLIEST A polynomial with two terms is called a binomial?
True or False
Answer: true
Step-by-step explanation: In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. ... It is the simplest kind of polynomial after the monomials.
Answer:
true
Step-by-step explanation:
binomial —A polynomial with exactly two terms is called a binomial.
There are 40 students in the class. 15 of them likes to study English, 1/4 of the students likes to study mathematics and the remaining students likes to study science. What fraction of students likes to study English
Given that B is the midpoint of segment AC, find the unknown values.
7.
X=
AB=
2X-8
x + 17
А
B
с
BC =
AC =
can someone please help me with this question and show work and steps to this math geometry question?? PLEASE
a salesperson receives a 5% commission on the sale of each house. the commission for a house is $690. What is the price of the house?
13,800
The reason is, 5% move the decimal 2 times to the left you get 0.05.
690 divided by 0.05 = 13,800
True or False
The point (-2, -1) is a solution to the inequality x - y < 0.
True
False
PLEASE PLEASE PLEASE HELP!!!
Answer:
True
Step-by-step explanation:
Plug in the point:
-2-(-1)=-2+1=-1<0.
This is a true statement
The 200 students in a school band will attend and awards dinner. A random survey of 25 of these students was conducted to determine how many of each meal should be prepared for the dinner. The result of the survey are shown
•12 students want a beef meal
•8 students want a chicken meal
•5 students want a pasta meal
Based on the survey results,which of these is the best prediction of the meals wanted by the 200 students
A there are 16 students who want a beef meal
B There are 52 students who want either a chicken meal or a pasta meal
C There are 32 more students who want a beef meal than want a chicken meal
D There are 24 more students who want a pasta meal than want a chicken meal
can someone help me please
calculate the average rate of change of the function y= ½x² - 1 over the interval -2 ≤ x ≤ 0
Answer: The average rate of change of the function in that interval is r = -1
Step-by-step explanation:
When we have a function f(x), the average rate of change in an interval:
a ≤ x ≤ b
Is calculated as:
[tex]rate = \frac{f(b) - f(a)}{b - a}[/tex]
In this case, the function is:
y = f(x) = (1/2)*x^2 - 1
And the interval is:
-2 ≤ x ≤ 0
Then the rate of change will be:
[tex]rate = \frac{f(0) - f(-2)}{0 -(-2)} = \frac{((1/2)*(0)^2 - 1) -((1/2)(-2)^2 - 1)}{2} = \frac{-2}{2} = -1[/tex]
The average rate of change of that function in that interval is r = -1
Solve for r.
Ar + By = C
Answer:
r = (C - By) / A
Step-by-step explanation:
Ar + By = C
_________
-By -By
[Subtract both sides by By (Subtraction poe)]
Ar = C - By
________
(Ar) = (C - By)
[Use parenthesis to group both terms (Associative property of equality)]
________
÷A ÷A
[Divide both sides by A to isolate r so it can be solved (Division poe)]
________
r = (C - By) / A
Which inequality describes all the solutions to -5x + 6 < 2(-3 - x)? A. X > 4 B. x < 0 C. x < 4 D. X > -9
Answer:
x>4
Step-by-step explanation:
-5x+6<2(-3-x)
-5x+6<-6-2x
-5x+6+2x<-6-2x+2x
-3x+6<-6
-3x<-12
.
What is the solution to this equation?
30.16 = 17.56 + 5x
Answer:
x = 2.52
Step-by-step explanation:
30.16 = 17.56 + 5x
30.16 - 17.56 = 5x
12.6 = 5x
12.6/5 = 5x/5
2.52 = x
3x+2(6x)=15
Can you please solve for x?
Thanks!
Answer:
x=1
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
6x x 2=12x + 3x = 15x
15x/15 = 15/15
x = 1
Find the first 5 terms of 6n+2
Answer:
2, 8, 14, 20, 26
Step-by-step explanation:
At n=0
2 x 0 +2=2
At n=1
6 x 1 +2=8
At n=2
6 x 2 +2 = 14
At n=3
6 x 3 +2 = 20
At n=4
6 x 4 +2 = 26
a recipe calls for 1.5 cups of sugar for one cake how much sugar would you need to make six cakes
Answer:
9 Cups
Step-by-step explanation:
Answer:
The answer is 9 cups.
Step-by-step explanation:
You know that you need 1.5 cups for each cake. And you know that you need to make 6 cakes. So you just multiply 1.5 by 6.
1.5*6=9
Please help!! Will give brainliest and more points!
Answer:
The Last Option
Step-by-step explanation:
Hope This Helps! :)
What is the equation of the line that passes through the point (5, -2)
and has a slope of 6/5
Answer:
y + 2 = ⁶/₅(x - 5) {the point-slope form of the equation}
y = ⁶/₅x - 8 {the slope-intercept form of the equation}
6x - 5y = 40 {the standard form of the equation}
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = ⁶/₅
(5, -2) ⇒ x₀ = 5, y₀ = -2
So, the point-slope form of the equation:
y + 2 = ⁶/₅(x - 5)
Therefore:
y + 2 = ⁶/₅x - 6 {subtract 2 from both sides}
y = ⁶/₅x - 8 ← the slope-intercept form of the equation
-⁶/₅x + y = - 8 {multiply both sides by (-5)}
6x - 5y = 40 ← the standard form of the equation
Simplify the expression.
- (- - )
-5/8(-3/8-1/4)
Step-by-step explanation:
Answer:
The answer is 25/64
Step-by-step explanation: