Answers
DB= 16.18
DC=16.18/sin(28)
DC=34.46
The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The length of BD is given as,
sin A = BD / AB
sin 54° = BD / 20
BD = 20 × sin 54°
Then the length of DC is given as,
tan C = BD / DC
tan 28° = (20 × sin 54°) / DC
DC = (20 × sin 54°) / tan 28°
DC = 20 × 1.5215
DC = 30.43 units
The length DC of the triangle ΔBDC using the trigonometric function will be 30.43 units.
More about the right-angle triangle link is given below.
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Related Questions
7x-2+4x+5x-10=180
what is the measure of 4x
Answers
Answer:
1) 7x-2+5x-10=180
2)16x-2-10=180
3)16x - 12 = 180
16x=192
x=12
-3x + 40 = -23
A) -21
B)5.6
C)21
D)-32.3
Answers
Answer:
C) 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3x + 40 = -23
Step 2: Solve for x
Isolate x term: -3x = -63Isolate x: x = 21Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -3(21) + 40 = -23Multiply: -63 + 40 = -23Add: -23 = -23Here we see that -23 does indeed equal -23.
∴ x = 21 is the solution to the equation.
BRAINLEST+THANKS!!
Thank uu
Answers
Answer:
hiiii
the question isn't seen clearly
Javier simplified the expression below. Find and
describe the three mistakes he made.
20x
- (203) = (5x®]* _ 5x * to
(5x®)» (20x)} – 20.x* *4
Answers
Answer:
Step-by-step explanation:
Javier did not raise the coefficients to the third power
When Javier raised [tex]x[/tex] to the third power, he wrote that [tex](x^1)^3=x^4[/tex], but it equals [tex]x^3[/tex].
In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.
Tell whether each function is linear or nonlinear. Use the drop-down menus to show your answer.
Answers
explanation: for function a, y is increasing at a non linear rate (not consistent)
for a circle with the given circumference, c, fund the diameter of the circle. Round to the nearest whole number
C=44 in
Answers
Answer:14
Step-by-step explanation:
44/3.14(pie)=14.01
PLEASE HELP ME!!!!! NEED HELP ASAP!!!!!
Answers
The table shows the number of diagonals that can be drawn from one vertex in polygon. Write an equation in function notation for the relation and find the number of diagonals that can be drawn from vertex in a 12-sided polygon.
Answers
Answer:
y = x - 3; 9 diagonals
Step-by-step explanation:
Find the equation: y = x - 3
Plug in 12: y = 12 -3
Solve: y = 9
9 diagonals
Hope this helps! Plz mark brainliest
The equation of function notation for the relation will be,
⇒ y = x - 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Table is shown in figure.
Two points on the table are (3, 0) and (4, 1).
Now,
Since, The equation of function passes through the points,
(3, 0) and (4, 1).
So, We need to find the slope of the function.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 0) / (4 - 3)
m = 1
Thus, The equation of function with slope 1 is,
⇒ y - 0 = 1 (x - 3)
⇒ y = x - 3
⇒ y = x - 3
Thus, The equation of function notation for the relation will be,
⇒ y = x - 3
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Is the slope-intercept form and standard form of the same line equivalent?
Answers
Answer:
Linear equations can take several forms, such as the point-slope formula, the slope-intercept formula, and the standard form of a linear equation. These forms allow mathematicians to describe the exact same line in different ways.
hope this helps
PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!
Answers
Answer:
6.67
66.7%
1.20
337.12
Step-by-step explanation:
95.25*(7/100)
42.12/63.18*100
20. 95*(5/100)
9632*(3.5/100)
Make the expression a perfect square u^2 + 10u + 
Answers
Answer:
Take the coefficient of "u"
10
divide it by 2
5
square it
25
So, a perfect square would be
u^2 + 10u +25
which would be
(u +5)^2
Step-by-step explanation:
i need help with this
Answers
Answer:
1 and 2
Step-by-step explanation:
Please help for 15 points!
Answers
Answer:
There's nothing there
Step-by-step explanation:
can some one help me on this and thank u
Answers
Answer:
2<x<3
Step-by-step explanation:
the first one
suppose a+b=10 and the value of a increases by 1. If the sum remains the same, what must happen to the value of b?
Answers
Answer:
[tex]b[/tex] decreases by [tex]1[/tex]
Step-by-step explanation:
If the value of [tex]a[/tex] increases by [tex]1[/tex] and the sum remains the same, then the value of [tex]b[/tex] decreases by [tex]1[/tex].
Example:
Suppose [tex]a=7[/tex] and [tex]b=3[/tex].
[tex]a+b = 10[/tex]
[tex]b = 10-a[/tex] (minus [tex]a[/tex] on both sides)
Now, let [tex]a = 8[/tex] ([tex]a[/tex] has increased by [tex]1[/tex]):
[tex]b = 10-8[/tex]
[tex]=2[/tex]
From the comparison of the previous value of [tex]b[/tex] to the current value of [tex]b[/tex], the value of [tex]b[/tex] has decreased by [tex]1[/tex].
Hope this helps :)
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Determine whether or not each expression below is a perfect square. Explain why the expression is or is not a perfect square. If it is not a perfect square, find the perfect square that seems “closest” to the given expression and show how the perfect square can be adjusted to be the given expression.
1. A(x)=x^2+6x+13
2. A(x)=2x^2+8x+14
Answers
Step-by-step explanation:
These aren't a perfect square bec. 1 st and 3rd terms must be perfect square
A(X) = X^2+6X +13 be perfect square if 13 Changed to 9
= X ^2+6X +9
A(x)= 2X^2+8X +14 be perfect square
= 4X ^2+ 8X + 16
PLS HELPP ME , ILL GIVE BRAINLIEST IF ITS A REAL ANSWER PLS
Answers
Answer:
For the chart, the missing number on top is 10. the bottom numbers are 1.5 then 9.
For the question, all of the numbers equal the ration 5:3.
Question 2: Yes. 30/x=2/4 which equals 60 (minutes) which is an hour.
Step-by-step explanation:
1A:
2.5 amount of water - 1.5 amount of pasta
10 amount water - 6 amount pasta
15 amount water - 9 amount pasta
2.5 : 1.5
5 : 3
10 : 6
15 : 9
1B. these quantities are proportional because they can all be simplified to the same unit rate of 5 : 3.
2. Johnny is correct. The rate is 4 : 2, with a unit rate of 2 : 1. If you multiply both sides by 30 (how many inches deep the hot tub is) you get a ratio of 60 : 30, meaning it would take an hour to fill up the tub.
Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first equation to get x=-5-3y. Han's first step is to isolate 3y in the first equation to get 3y=-5-x. Show that both first steps can be used to solve the system and will yield the same solution.
Answers
Answer:
Yes, they can both be solved and get the same answer.
Step-by-step explanation:
Tyler's way:
Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Han's way:
Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.
Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
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Determine if both first steps can be used to solve the system and will yield the same solution
Both Tyler and Han's first step can be used to solve the system and will yield the same solution
Given:
x + 3y = -5
x + 3y = -5 9x + 3y = 3
Tyler
isolate x in the first equation to get
x = -5 - 3y
substitute into second equation
9x + 3y = 3
9( -5 - 3y) + 3y = 3
-45 - 27y + 3y = 3
- 24y = 3 + 45
-24y = 48
y = 48/-24
y = -2
Recall,
x = -5 - 3y
= -5 - 3(-2)
= -5 + 6
x = 1
Han:
isolate 3y in the first equation to get
3y = - 5 - x
substitute into second equation
9x + 3y = 3
9x + (-5 - x) = 3
9x -5 - x = 3
8x = 3 + 5
8x = 8
x = 1
Recall,
3y = - 5 - x
3y = -5 - (1)
3y = -5 - 1
3y = - 6
y = -2
Therefore, both first steps can be used to solve the system and will yield the same solution.
Read more:
https://brainly.com/question/15165519
A toy company decreased the size of its dominoes container by 25%. If the old containers held 136 dominoes, how many dominoes do the new container hold?
Answers
Answer: 102
Step-by-step explanation:
Answer:
The new container holds 102 dominoes.
Step-by-step explanation:
136 x 25% =34
136-34 = 102
PLS HELP ME 5.7 + (3z + 0.3)
Answers
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
A quantity with an initial value of 970 grows exponentially at a rate of 3.5% every 3 weeks. What is the value of the quantity after 49 days, to the nearest hundredth?
Answers
Answer:
≈1051.07
Step-by-step explanation:
Answer: 1091.8
Step-by-step explanation:
if you need the equations to go with it it SHOULD be
f(x) = 970(1+0.052) ^ 21/49
Decomposers _______
O add nutrients to the soil
O feed on dead animals
o include bacteria
all of the above
Answers
Answer:
All the above
Step-by-step explanation:
all of the following are true
But like hooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooowwwwwwwwwwwwww im stupid how plz someone!!!!!!!!!!!!!!!!!!!!!!!!!!3/4g=−12
Answers
Answer:
with what
Step-by-step explanation:
A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
Answers
Explanation
120x1.1=132
132x5= 660
(4x5) x3 = 4x (5x3) What property does this show?
Answers
Answer:
distributive
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x5x7x8x2÷8=?
Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.
Answers
Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answers
Answer:
d,c,b,a
Step-by-step explanation:
make sure to write the (#,#)
Answers
Answer:
Oh, it's (-1,-1)
Once you graph both lines, you find the point of intersection and they both intersect at point (-1,-1)
If you have any more questions let me know! :)
Step-by-step explanation:
The answer is in the image.
Find the missing length of the triangle.
C=_Km
Answers
Answer:
c = 29km
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]20^{2}[/tex] + [tex]21^{2}[/tex] = 841
[tex]\sqrt{841}[/tex] = 29
PLEASE ANSWER ASAP!!!!!!!!!
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at the nth bounce.
f(n) = 9(0.7)n
What does the number 9 in the function represent?
A) Number of times the ball was dropped.
B) Height from which the ball was dropped.
C) Height to which the ball will bounce at the nth bounce.
D) Number of times the ball bounces at the nth bounce.
Answers
Answer:
c
Step-by-step explanation:
