Answer:
y = -3/11x + 4/11
Step-by-step explanation:
y2 - y1/ x2 - x1
-1 - 2/ 5 - (-6)
-3 / 11
y = -3/11x + b
-1 = -3/11(5) + b
-1 = -15/11 + b
4/11 = b
What is the measure of angle CBD? ° What is the length of segment CD? cm Which trigonometric ratio can be used to compare BC to CD using angle CBD? What is the approximate length of BC? cm What is the approximate length of BD? cm
Answer:
Answer: The measure of ∠CBD is 36°. The length of segment CD is 6 cm.
The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the segment CD will be equal to 12cm (60/5).
What are Trigonometric functions?The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1. For a regular pentagon, the measure of an internal angle is equal to 108°, therefore, the measure of ∠ABD is 108°.
2. Since the line CB is bisecting ∠ABD, therefore, the measure of the ∠CBD is 54°.
3. The length of the segment CD will be equal to the length of a side of the pentagon, therefore, the length of the segment CD will be equal to 12cm (60/5).
4. The trigonometric ratio that can be used to compare BC to CD using ∠CBD is Tangent.
5. The approximate length of BC can be determined as,
Tan(54°)=CD/BC
BC = CD/Tan(54°)
BC = 8.719 cm
6. The approximate length of BD can be determined using the Pythgorus theorem,
BD² = CD² + BC²
BD = 10.5835 cm
Learn more about Trigonometric functions:
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If 1 serving of stir fry use 3/5 cup of rice how many cups are in 11 servings?
Answer:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Step-by-step explanation:
If 1 serving includes 3/5 cup of rice, then multiplying both numerals here by 11 produces a similar statement for 11 servings:
11 servings include 11(3/5), or 33/5, or 6 3/5, cups of rice.
Solve for x
19/10 = x/12
Answer:
x=19
Step-by-step explanation:
19/12=x/12
19*12=x*12
228=12x
228/12=x
19=x
The sum of the length and width of a rectangle is more than 15 units. The length is 3 units more than the width, x. Which model and solution is correct for this situation?
Answer: [tex]6, 9\ \text{units}[/tex]
Step-by-step explanation:
Given
The Sum of length and width is [tex]15\ units[/tex]
length is 3 units more than the width
width is [tex]x[/tex]
length is [tex]x+3[/tex]
Their sum is 15
[tex]\Rightarrow x+x+3=15\\\Rightarrow 2x=12\\\Rightarrow x=6\ \text{units}[/tex]
Length is [tex]x+3=9\ \text{units}[/tex]
Width is [tex]x=6\ \text{units}[/tex]
Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.
Add three to the quotient of one fourth and 8, then divide by 5
one fourth times the product of 8 and 3, then divide by 5
Add 3 to the product of one fourth and 8, then divide by 5
Add 3 to the sum of one fourth and 8, then divide by 5
Answer: B. One fourth times the product of 8 and 3, then divide by 5.
g(1) = 4
g(n) = g(n-1).(-3)
g(3)=
g(1) = 4
g(n) = g(n-1).(-3)
g(3)= 2g(2) = 24 = 16
Can someone please help me with this math problem please:):)
Answer:
y = 126° + 29° = 155°
Step-by-step explanation:
I think this may be a solution:
126°+29°=155°
So, y=155°
NEED HELP ASAP!!!!!Can someone help me!???!
Answer:
c
Step-by-step explanation:
because it makes the most sense
Answer:
I am going to say c
Step-by-step explanation:
find rational numbers between -3/2 and 5/3
Answer:
Five rational numbers between -5/3 and -8/7 are- Read more on Sarthaks.com - https://www.sarthaks.com/830151/find-five-rational-numbers-between-5-3and-8-7
Step-by-step explanation:
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Do 2b+b and 3b have the same value for all values of b
Answer:
Expression 2b+b and 3b have same values for all values of b.
Step-by-step explanation:
Given the two expression 2b+b2b+b and 3b3b and values of b as 1, 2 and 3.
Consider first expression that is, 2b+b2b+b .
Substituting the value of b=1b=1 ,
2\left(1\right)+\left(1\right)=2+1=32(1)+(1)=2+1=3 ....1
Substituting the value of b=2b=2 ,
2\left(2\right)+\left(2\right)=4+2=62(2)+(2)=4+2=6 ....2
Substituting the value of b=3b=3 ,
2\left(3\right)+\left(3\right)=6+3=92(3)+(3)=6+3=9 ....3
Consider second expression that is, 3b3b .
Substituting the value of b=1b=1 ,
3\left(1\right)=33(1)=3 ....4
Substituting the value of b=2b=2 ,
3\left(2\right)=63(2)=6 ....5
Substituting the value of b=3b=3 ,
3\left(3\right)=93(3)=9 ....6
For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.
Therefore both expression are same for all values of b.
Step-by-step explanation:
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Find the solution to the system
of equations.
Mathhhhhhhhhhh which one is correct
Answer:
slope = 4
y intercept = -3
Step-by-step explanation:
The equation is put in slope intercept form
Slope intercept form: y = mx + b
where m = slope and b = y intercept
looking at slope intercept form
4 is located where m should be , meaning that the slope is equal to 4 and
-3 is located where b should be , meaning that the y intercept is -3
Therefore the answers are the first and last option choices.
There are 3 red marbles, 4 blue marbles, 2 green
marbles, and 6 clear marbles in a burlap bag. One
marble is randomly pulled from the bag. What is
the probability the marble was green?
Answer:
2 out of 15 chance its green
Step-by-step explanation:
there's 15 marbles in total and 2 are green
What is the value of z in the equation 3z + 5 = 4z - 2? I NEED THE WORK
Answer:
z=7
Step-by-step explanation:
3z+5=4z-2
5=4z-2-3z
5=z-2
5+2=z
7=z
z=7
There are approximately 25,000 polar bears worldwide. Some scientists estimate that the polar bear population has been declining at a yearly reduction rate of 1%. What equation would model this situation?
A - p (t) = 25,000 (1.99)^t
B - p (t) = 25,000 (.099)^t
C - p (t) = 25,000 (0.99)^t
D - p (t) = 25,000 (0.01)^t
Answer:
i think d
Step-by-step explanation:
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Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?
Answer:
Owen can type 536 2/3 per minute
Step-by-step explanation:
let me know if this is wrong
im confused on this problem
Answer:
y = 54, x = 62
Step-by-step explanation:
plz mark helpful, 5 str, and give brailiest, thx!
Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?
a
$550
b
$770
c
$1,050.80
d
$1,342.83
Answer
I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared
9514 1404 393
Answer:
d $1342.83
Step-by-step explanation:
At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$500(1.04) +250 = $770
At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$770(1.04) +250 = $1050.80
At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:
$1050.80(1.04) +250 = $1342.83
_____
Additional comment
You can make an appropriate guess by realizing the total of the deposits is ...
$500 + 3×250 = $1250
Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.
Which of the following is a factor of 21? 0 5 7
Graph the equations to solve the system.
y = 2x - 6
y = -x-3
Click on the correct answer.
no solution: 0
solutions, all
numbers on the line
one solution: {0,-3)
one solution: (1.-4)
Answer:
one solution: (1.-4)
Step-by-step explanation:
y = 2x - 6...... (1)
y = -x-3......(2)
Plug y = -x-3 in equation (1)
2x - 6 = - x - 3
2x + x = 6 - 3
3x = 3
x = 3/3
x = 1
Plug x = 1 in equation (2)
y = - 1 - 3
y = - 4
(x, y) = (1, - 4)
y=x(2)-2x-3 find the value of x when y=1
A ______ is a comparison of two quantities. ratios can be a part-to-part,part-to- _______, or whole -to- __________ comparisons. ratios can be written with the word _____, with a _______, or as a ___________.
Answer:
ratio
part-to-whole
whole-to-whole
with the word to
with a colon
or as a fraction
Step-by-step explanation:
In the app Kami, can the teacher see what time you edited the assginment. Like if i edit it at 3:00 pm, can they see what and how fast i typed?
Answer: I don't think so because they can only see it when you turn it in. Trust me I have kami too.
When the input is 5, what is the output for the square function?
Answer:25
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
When Anne had one cat, she needed to serve 1/8 of a can of cat
food each day. Now that Anne has adopted a second cat, she
needs to serve a total of 4 cans each day. How much extra food
is needed to feed the second cat?
Simplify your answer and write it as a fraction or as a whole or
mixed number.
Answer:
Abc= D= 2.94C
Step-by-step explanation:
5. Amaris buys a car for $12,000. Each year it decreases in
value by 5%. Write an equation to represent the value of the
car after t years.
Answer:
12,000-(0.05x)=t
Step-by-step explanation:
Find the volume of a sphere with a radius of 5 in. Round to the nearest hundredth.
A) 53.05 in3
B) 104.72 in3
C) 392.70 in3
D) 523.60 in3
Answer:
D
Step-by-step explanation:
it's D I don't have a full step by step
at a pizza shop you can choose thick or thin crust red or white sauce and toppings a pepperoni and cheese or vegetarian. create a tree diagram to display the same space
Answer:
Total 2*2*3 = 12 outcomes
------------------------------------------------------------------------
> thick, white, pepperoni
White > > thick, white, cheese
> thick, white, vegetarian
Thick > >
> thick, red, pepperoni
Red > > thick, red, cheese
> thick, red, vegetarian
------------------------------------------------------------------------
> thin, white, pepperoni
White > > thin, white, cheese
> thin, white, vegetarian
Thin > >
> thin, red, pepperoni
Red > > thin, red, cheese
> thin, red, vegetarian
What is the solution to this inequality?
4(2x + 2) + 12 > 100
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
