Answer: C 2021 edg
Step-by-step explanation:
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
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A sculptor is planning to make two triangular prisms out of steel. The sculptor will use △ABC for the bases of one prism and △DEF for the bases of the other prism.
(a)Is △ABC similar to △DEF? Explain.
(b)Suppose the sculptor makes both prisms with the same height. Which prism will have a greater volume? How many times greater? SHOW YOUR WORK FOR BRAINLIEST!!
Answer:
a)
Verify is the corresponding sides have same ratio:
AB / DE = 50/60 = 5/6 BC / EF = 20/24 = 5/6Since the ratios are same, the triangles are similar
b)
If one dimension is same, the base areas will make difference by the square of the scale factor:
(6/5)² = 1.44 times
Find the solution to the system
of equations.
im sorry, i need help, can someone explain it?
Answer:
vertical angle = 2 and 3
supplementary angle = 2 and 4
hope it helps
Answer:
Vertical is like 1 and 4. Supplementary is like 1 and 3.
this is so confusing to me
a.) 990 is the TOP volume.
b.) 825 is the BOTTOM volume.
c.) 1815 is the total volume.
Hope it helps!
- JK Mitsu
#SpreadTheLove
_________________________________________
Some help so you can be independent next time!
1.) Finding the top volume mean multiplying the height of the top (6 m) , width, and length.
2.) Finding the bottom is the height of the bottom (5 m) , width, and length.
3.) Finding the total is adding both bottom and top!
Anastasia has been accepted into a 4- year University as an architect student. She was offered a scholarship of $17,800 per year. The cost per year is $17,400 in tuition and fees, $10,350 for room and board, and 850 for books. What would the cost be after attending school for four years?
Answer:
256,800 I believe
Step-by-step explanation:
you add up all the numbers and multiply by 4
Please, help! Help! Help!
Answer:
HOW DO I ANSWER THIS
Step-by-step explanation:
Which statement about the graph of y = 1/3(2/3)^x is true?
A The graph has a vertical asymptote.
B The graph crosses the y-axis at (0,7).
C The graph has an asymptote aty 1 3
D The graph decreases from left to right.
Plz help
Answer: the answer D is correct and is proven to be correct
Step-by-step explanation:
After reviewing your model stock list, you discover a changing sales pattern over the last several months on the most popular style of jeans. The data note the following sales per month: August-75 units, September-95 units, October-130 units. Assuming your sales continue to grow at the avereage rate they did between August and October, what will your sales be in November?
a) 90
b) 105
c) 106
d) 158
Answer:
158
Step-by-step explanation:
If the average rate between August and October was on an increase, then November sales will be 158.
What is Rate?This is defined as the quantity or amount of something which is measured per unit of something else.
From the stock list, the average rate kept increasing which means option D is the most appropriate choice.
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On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units
Answer:
B: 6 units
Step-by-step explanation:
just took the test
The area of triangle GHJ is 6 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the area of triangle GHJ, we can use the formula:
Area = (1/2) x base x height
where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.
In this case,
We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).
To find the height of the triangle,
We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.
Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.
Also,
The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.
The area of triangle GHJ is:
Area = (1/2) x base x height
Area = (1/2) x 3 x 4
Area = 6 square units
Thus,
The area of triangle GHJ is 6 square units.
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Math is hard, please help this idiot TwT
here you go i hope this help u
This graph represents the distance a train traveled over a 20-hour time period. Approximately
how far has the train traveled after 1 hour? After 4 hours?
1: After 1 hour 50 miles, after 4 hours 150 miles
2: After 1 hour 20 miles, after 4 hours 100 miles
3: After 1 hour 25 miles, after 4 hours 100 miles
4:After 1 hour 25 miles, after 4 hours 150 miles
i tried answering this but I don't think its right
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°
What are the solutions for 4x^2+81=36x
Is (6, 1) a solution to the inequality 11x + 3y > 4?
Answer:
Yes (6,1) is a solution to the inequality
Step-by-step explanation:
Plug in the coordinate point and check:
11(6)+3(1)>4?
66+3>4?
69>4
Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.
file:///C:/Users/USER/Downloads/Documento%20sin%20t%C3%ADtulo%20(5).pdf
Answer:
Hm
Step-by-step explanation:
-24 + 12d = 2(d-3) + 22
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
How do I solve 3x-5>0 ? Can someone explain please
Answer:
Find my Answer attached.
Step-by-step explanation:
9514 1404 393
Answer:
x > 5/3
Step-by-step explanation:
In general, inequalities are solved the same way that equations are: undo what is done to the variable. (Whatever you do to one side of the inequality, you must also do to the other side.)
If you were to evaluate this inequality for some value of x, you would ...
multiply by 3subtract 5When solving for x, you undo these operations in reverse order. You undo the "subtract 5" by doing "add 5" to both sides of the inequality:
3x -5 +5 > 0 +5
3x > 5
You undo the "multiply by 3" by doing "divide by 3" to both sides of the inequality:
(3x)/3 > 5/3
x > 5/3 . . . . . . . the solution
__
Additional comment
The only difference between solving an equation and solving an inequality is that multiplication or division by a negative number reverses the comparison symbol.
Consider -1 > -2. When this is multiplied by -1, it becomes 1 < 2, with the comparison reversed.
__
As you can see, as long as multiplication and division are with positive numbers, the actual comparison symbol doesn't matter:
3x -5 > 0 ⇒ x > 5/3
3x -5 = 0 ⇒ x = 5/3
3x -5 < 0 ⇒ x < 5/3
I need help with this.
Answer:
(3z+15) cm
Step-by-step explanation:
Perimeter: z cm + 8 cm + (z+3) cm + (z+4) cm = z cm + (z+3) cm + (z+4) cm +8 cm = (3z + 7) cm + 8 cm = (3z+15) cm.
Use the spinner to find the theoretical probability of spinning a 1 and then a 2. Round answer to the nearest hundredth. A spinner is divided into 9 equal sections. Starting from the top right and moving clockwise direction, the regions are labeled 1,2,3,4,5,6,7,8, and 9. The spinner pointed at near the boundary line of 3.
Answer:
1/18
Step-by-step explanation:
yur welcome
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:
A two digit number has to be formed using the numbers 4,5,6 and 7 without repeating the numbers. a) Draw a tree diagram to represent the information above .b) use the tree diagram to work out the probability of a number less than 50?
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.
20/3=2(w+2/3)
What’s the value of w
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
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
A 100 foot wire is extended from the
ground to the top of a 60 foot pole,
which perpendicular to ground level.
Find, to the nearest degree, the
measure of the angle that the wire
makes with the ground.
The angle that the wire makes with the ground is 36.87° with horizontal.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.
The given situation is making a right-angle triangle,
By Pythagoras' theorem in the triangle.
Base = √(100² - 60²) = 80 foot
By tan trigonometric function,
tanx = 60/80
x = 36.87°
Hence "The wire's angle with the ground is 36.87° with respect to the horizontal".
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find the solution set to each inequality
-2f<-16
please help, thanks in advance
2 Question 9
Help I’ll give Brainly est
Answer:
it c
Step-by-step explanation:
