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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If the probability that it will rain
tomorrow is 3/8, what is the
probability that it will not rain?
Answer:
5/8
Explanation: 8/8 - 3/8 = 5/8
Answer:
0.625
Step-by-step explanation:
1-3/8 total probability is 1 thus you take the probability that it will rain from 1 and get the answer
1
2.
-
3
C
4
5 »
What is the product of the 4th square number and the 2nd square
number?
4th square = 16
2nd square = 4
16×4
=64
please help!! this is due today!! (number 5)
I did my best to fit it all lol, can someone please help? <3
Answer:
8a. 0 8b. -1/3
Step-by-step explanation:
slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x{1}}[/tex]
8a. => (8 + 12)/(17 - 17) = 20/0 = 0
8b. (1 + 2)/(-3 - 6) = 3/-9 = - 1/3
Answer:
8a: 0 8b: -1/3
Step-by-step explanation:
slope is y2-y1/x2-x1
8a: 8+12/0=0
8b: 1+2/-3-6=3/-9=-1/3
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]
On substituting the values,
⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]
⇒[tex]V=4180[/tex]
Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].
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What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1
Answer:
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Step-by-step explanation:
Since the hyperbola opens left and right with a center at the origin, then
[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]
In the graph a = 60 and b = 11
So
[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Solve the linear inequality: x ≤ -x + 4
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP
Answer:30
Step-by-step explanation:
the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be
Answer:
8 dogs
Step-by-step explanation:
If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.
I would appreciate Brainliest but no worries.
HELP PLEASE I WOULD REALLY BE THANKFUL IF YOU HELP, I'VE BEEN STUCK ON THIS
Answer:
Median Range IQR
Northside players. 37 33. 17
Southside players. 37. 43. 30
()) There are two cubes. The first cube has a volume of 1,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube? D) cubic units Submit
Answer:
125 units^3
Step-by-step explanation:
Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.
You then divide the sides by 2 because the question says the second cubes sides are half the size
5*5*5 = 125
The volume of the second cube is 125 units³.
What is volume?In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.
We need to find the volume of the second cube,
So, let the side of the first cube be x,
We know that the volume of a cube = side³
Therefore,
x³ = 1000
x = ∛1000
x = 10 units
Therefore, the second cube will have a side of 10/2 = 5 units
Volume of second cube = 5³ = 125 units³.
Hence the volume of the second cube is 125 units³.
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Triangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
True
False
9514 1404 393
Answer:
False
Step-by-step explanation:
Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.
sin(B) > sin(Y) . . . . FALSE
sin(B) = sin(Y) . . . . true
Answer:
The answer is true.
Step-by-step explanation:
((No links allowed))!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answer:
z=25
Step-by-step explanation:
(3+5)^2+[8-11]+z=4(z-2)
(8)^2 +3+z=4z-8
square 8
add 8 to both sides
mines z from both sides
64+3+8=3z
75=3z
25=z
If Sally's school is 2.5 km long. How many meters long is Sally's school?
Answer:
2500 m long
Step-by-step explanation:
Answer:
2,500 meters
Step-by-step explanation:
There are 1000 meters in a kilo meter so just multiply 2.5 x 1000
can someone help please??
Answer:
iput the equation into my calculator and i graphed it and found the roost
Step-by-step explanation:
the answer is d
11. Oliver had $10. On his birthday, he received $25. Use the equation below to find how much money Oliver has now. equation: 10 + 25 = m *
Answer: 35
Step-by-step explanation:
The sum of three consecutive odd integers is 189. What
are the integers?
Answer:
61, 63, 65
Step-by-step explanation:
n + n+2 + n+4 = 189
3n = 183
n = 61
Answer:
The three consecutive odd integers are 61, 63, and 65
Step-by-step explanation:
Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63
n + 5 = 65
write the following quotient in scientific notation:
Answer:
0.7
Step-by-step explanation:
Which cube is a unit cube?
a cube that is 9 inches long, 9 inches wide, and 9 inches high
a cube that is 3 meters long, 3 meters wide, and 3 meters high
a cube that is 1 yard long, 1 yard wide, and 1 yard high
a cube that is 11 centimeters long, 11 centimeters tall, and 11 centimeters high
Answer:
Option 3
Step-by-step explanation:
A unit cube has side lengths of 1
Answer:
3 is the answer
Step-by-step explanation:
A unit cube has side length that is 1
b) 1325 + 13 long division
Answer:
1325 divided by 13 is 101.92 rounded to the nearest hundredth
Step-by-step explanation:
I'm not sure what the question is asking though.
Mary McDonald makes mugs in Miami. She makes two sizes of mugs: a small mug that she sells for
$2.50 and a large mug that she sells for $5.75. Yesterday Mary made $56. Before she opened her shop in the morning, she had 200 mugs in her inventory. At the end of the day she has 188. How many mugs of
each price did she sell?
Answer:
4 small
8 large
Step-by-step explanation:
s - small mug
l - large mug
Yesterday she had 200 at start of day
at end of day 188 left, so she sold 12 mugs
(1) s + l = 12
(2) 2.50s + 5.75l = 56.00
Solve for l in (1)
l = 12 - s
substitute in l = 12 - s into (2)
2.50s + 5.75(12-s) = 56.00
2.50s + 69.00 - 5.75s = 56.00
-3.25s + 69.00 = 56.00
-3.25s = -13.00
s = 4
to find l substitute s = 4 into (1)
4 + l = 12
l = 8
Alyssa has 30 pencils, where 60% of the pencils are sharpened. How many sharpened pencils does Alyssa have?
Answer:
18 sharpened pencils
Step-by-step explanation:
Total = 30 pencils
100% = 30 pencils
1% = 30 ÷ 100 = 0.30
60% = 0.30 x 60 = 18
Answer:
18 sharpened pencils
Step-by-step explanation:
the percent 3/5 can be multiplied by 6 to give u 18/30
PLEASE HELP I WILL MARK BRAIN AND THIS IS WORTH 26 POINTS!!!
Answer:
1) Already finished
2)0.28,7/25
3)0.78,39/50
4)0.96,24/25
5)0.5,1/2
6)0.3,30%
7)0.4,40%
8)0.25,25%
9)0.55,55%
10)0.2,20%
11)7/20,35%
12)3/4,75%
13)4/5,80%
14)1/25,4%
15)13/20,65%
Step-by-step explanation:
Please help! If you do you get 'Brainliest'
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
In a survey taken 6/10 of students chose to attend in person learning on Mondays. 3/10 of students chose Tuesdays. How many students chose Monday or Tuesday?
Answer:
9/10 students chose Monday or Tuesday.
or
90% of students chose Monday or Tuesday
Explanation:
We add both fractions 6/10 + 3/10 which equals 9/10
What is
7.5% tax on
a $18
sweater?
19.35 or 1.35
Answer:
$1.35 will be your answer
Step-by-step explanation:
18 x 0.075 = 1.35
Answer:
[tex]1.35[/tex]
Step-by-step explanation:
7.5% of 18$ is 1.35.
It would make no sense if the tax cost more than the actual item.
Use the function below to find F(2).
F(t) = 2x1/2^3t
ОА. 1/32
O B.1/8
O c.1/16
O
D.1/64
Answer:
C
Step-by-step explanation:
PLEASE HELP!! ILL MARK BRAINLYEST!!
Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?
A. histogram
B. bar graph
C. circle graph
D. line graph
Answer:
Bar graph
Step-by-step explanation:
if it helps don't forget to like and mark me down
Answer:
Bar Graph
Step-by-step explanation:
7x + 2y - 3 = 0 in slope intercept form.
Answer:
y=(-7/2)x+3
Step-by-step explanation:
7x+2y-3=0
7x+2y=3
2y=-7x+3
y=(-7/2)x+3
Answer:
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y - 3 = 0 ( subtract 7x - 3 from both sides )
2y = - 7x + 3 ( divide each term by 2 )
y = - [tex]\frac{7}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form
Which quadrant point (0,2) is located in the coordinate plane
Answer: It would be on the first quadrant plane or I quadrant
Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps
