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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how can you solve this problem? 3x + 14 = 59. solve for x.
Answer:
x = 15
Step-by-step explanation:
3x + 14 = 59
subtract 14 from both sides
3x = 45
divide both sides by 3
x = 15
Answer:
15
Step-by-step explanation
Subtract 14 from both sides and the do 45 divided by 3 and it gives you your answer 15
Find the measure of each marked angle.
The larger angle measures?
The smaller angle measures?
Answer:
the larger one is 105º
the smaller one is 75º
x=11
Step-by-step explanation:
9x+6+6x+9=180
15x+15=180
15x=165
x=11
9(11)+6=106
6(11)+9=75
Answer:
x = 11
Step-by-step explanation:
the larger one is 105º
the smaller one is 75º
x = 11
Part A: The product of xy and 3x^3y+7x^2y^2-4xy^3 will or will not demonstrate closure
Because the exponents of the products are....
Part B: The Product of x^2 + y^3 and x^4 - y^1 will of will not demonstrate closure
Because the exponents of the products are
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Here's the solution :
Product of xy and 3x³y + 7x²y² - 4xy³ :
[tex](xy)(3 {x}^{3} y + 7 {x}^{2} {y}^{2} - 4x {y}^{3} )[/tex][tex]3x {}^{4} {y}^{2} + 7 {x}^{3} {y}^{3} - 4 {x}^{2} y {}^{4} [/tex]product of x² + y³ and x⁴ - y¹ :
[tex]( {x}^{2} + {y}^{3} )(x {}^{4} -{ y {}^{1}) }[/tex][tex] {x}^{6} - {x}^{2} y + {x}^{4} {y}^{3} - y {}^{4} [/tex]Answer: It will demonstrate closer because the numbers are whole, just got them right on the test. Hope this helped :3
Step-by-step explanation: Cause I guessed and got them right.
HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP
Answer:
Pizza 1: lenght(l)=16 and width(w)=4
Perimeter=40in.
Pizza 2: l=32 and w=2
Perimeter=68in.
Step-by-step explanation:
1. List down factors of 64.
64=1,2,4,8,16,32,64
2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.
3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.
4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)
Pizza 1: Perimeter=2(16+4)
=2×20
=40in.
Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.
Fixed Please Answer All Three Questions And Correctly
Midsegment is half the parallel side:
11x + 5 = 2(3x + 5)11x + 5 = 6x + 1011x - 6x = 10 - 55x = 5x = 1Midsegment length = 3*1 + 5 = 8Third side length = 8*2 = 16#2ORT is isosceles, the angles O and R are equal and measure:
1/2(180 - 72) = 1/2(108) = 54IRN is isosceles, the angles N and I are equal and measure:
1/2(180 - 54) = 1/2(126) = 63°#3ABC is isosceles, the angles A and B are equal and measure:
1/2(180 - 50) = 1/2(130) = 65°find the distance between (2,5) and (4,3)
Answer:
2.83
Step-by-step explanation:
use formula and replace x and y with the given values
A)
The car accelerates for 10 seconds
B)
The car moved forward at a constant speed for 6 seconds before moving
backwards
The car accelerated for 6 seconds and continued at a constant speed
D)
The car moved forward at a constant speed for 6 seconds and then stopped
moving suddenly
Answer:
C The car accelerated for 6 seconds and continued at a constant speed
In this picture, m
X?
A 52
B 20
C. 2.8
D 7
What is the area of the following circle?
Either enter an exact answer in terms of π 3.14 π and enter your answer as a decimal.
Enrique wants a skateboard that cost $68.00. The sales-tax rate in his city is 612% . What is the total cost of the skateboard?
[tex]\large \boldsymbol {100\%=1} \\\\ \boldsymbol {612\%=6,12} \\\\ \rm Total \ \ cost :\\\\ \$68=6,12\cdot 68=\boxed { \$416,16}[/tex]
URGENT HELP PLS I WILL MARK BRAINLIEST!!!!
Ellie is cutting out a rectangular board to construct a bookshelf.
The board is to have a perimeter of 84 inches, and its length is to be 3 inches shorter than double the width.
Answer:
The length of the board is 27 inches
pls help asaploll!!!!
Answer:
11/15
Step-by-step explanation:
Answer:
- 11 / 15
Step-by-step explanation:
x = - 2
y = - 1 / 5
1 / 3 + x . z
= 1 / 3 + ( - 2 ) . ( - 1 / 5 )
= 1 / 3 + ( - 2 . - 1 ) / 5
= 1 / 3 + 2 / 5
1 / 3
= ( 1 / 3 ) x ( 5 / 5 )
= ( 1 x 5 ) / ( 3 x 5 )
= 5 / 15
2 / 5
= ( 2 / 5 ) x ( 3 / 3 )
= ( 2 x 3 ) / ( 5 x 3 )
= 6 / 15
1 / 3 + 2 / 5
= 5 / 15 + 6 / 15
= ( 5 + 6 ) / 15
= 11 / 15
115 - 12
4
-21 + 9
2) Simplify:
1-2811
A. -24
3
B.
4
C.
3
4
1
D. 2
4
Answer:
by my calculator I got 2.25
Hi, I am struggling on this math question. Can someone help me out please? I more so need how to set up the equation than the answer.
The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium?
Answer:
18 green fish and there are 12 yellow fish
What’s the answer for the 1st problem
Ummm how do you do this two questions?
Answer:
Here are the formulae you need. Just plug in the values you have and you will get your answers.
Area of a triangle: 1/2*base*height
Volume of a rectangular prism: length*width*height
Volume of a cylinder: pi*r^2*height
Step-by-step explanation:
Amy has 1275 less than her brother ben .then ben spends 550 and amy gets 750 . who has more money now?
Amy because Ben spend the less money then
amy get more money
Amy has more money than her brother after all transactions.
What is an equation and an expression?An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -
2x = 5
An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -
3x + 5y + 3
We have Amy who has $1275 less than her brother ben. Ben spends $550 and Amy gets $750.
Assume that the money with Ben and Amy after transactions is $x and $y respectively. Let Ben has a initial amount of $m and Amy has of $n.
n = m - 1275
After transactions -
x = m - 550
y = m - 1275 + 750 = m - 525
Now -
m - 525 > m - 550 for every value of [m].
So, now Amy has more money.
Therefore, Amy has more money than her brother after all transactions.
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What is the product? Enter your answer as a fraction, in simplified form, in the box. 38⋅(−36) I WILL GIVE BRAINLIEST TO THE BEST ANSWER 100 POINTS
Answer:
If you multiply 38*(-36) you would get -1368. And to convert that into a fraction it could be -1368/1, -13680/10, etc.
Step-by-step explanation:
Answer:
-1368/1
Step-by-step explanation:
x^2-17x+70<0 solve the following inequality
Answer:
the answer is 7<x<10
Step-by-step explanation:
hope dis helped
Victoria has a cow. The cow’s tail is 3 inches long. The cow’s tail grows by 5 inches every 6 months. What will the tail’s length be next year?
Answer:
The cow's tail will grow 25 inches more intotal
The cows tail will be 28 inches long.
Step-by-step explanation:
12 months equals to one year (leap year not included) cows tail
grows 5 inches every 6 months. So, 5 x 5 = 25 + the 3 inches from its previous tail will give us total for all. so the answer is 28 in all or 25 for how much it has grown.
That's a long tail ;-;
Please help have to turn this in 20 minutes
Answer:
(-1,-5)
Step-by-step explanation:
Graph both lines and find the intersection.
What is the answer to 6^7 / 6^4
Answer:
216
Step-by-step explanation:
6^7 means 6*6*6*6*6*6*6 and 6^4 means 6*6*6*6
so this is;
6*6*6*6*6*6*6 / 6*6*6*6
279936/1296
216
okay can someone please answer this>
Answer:
1st one: x = -2
2nd one: x = -4
Step-by-step explanation:
1. Step 1: Rewrite into an equation.
[tex](6x+44) + (-10x+65) = 117[/tex] [tex]6x + 44 - 10x + 65 = 117[/tex]Step 2: Simplify both sides of the equation.
[tex](6x-10x) + (44+65) = 117[/tex] [tex]-4x + 109 = 117[/tex]Step 3: Subtract 109 from both sides.
[tex]-4x + 109 - 109 = 117-109[/tex] [tex]-4x = 8[/tex]Step 4: Divide both sides by -4.
[tex]\frac{-4x}{-4}=\frac{8}{-4}[/tex] [tex]x = -2[/tex]Therefore, x = -2 for the first one.
2. Step 1: Rewrite into an equation.
[tex]-16x + 13 - 20x + 23 = 180[/tex]Step 2: Simplify both sides of the equation.
[tex](-16x-20x)+(13+23)=180[/tex] [tex]-36x +36 = 180[/tex]Step 3: Subtract 36 from both sides.
[tex]-36x + 36 - 36 = 180 - 36[/tex] [tex]-36x = 144[/tex]Step 4: Divide both sides by -36.
[tex]\frac{-36x}{-36} = \frac{144}{-36}[/tex] [tex]x = -4[/tex]Therefore, x = -4 for the second one!
can someone see if i did them right?
Answer:
Yes your answer is right. You did well
Has anyone done Exponential Growth and Decay (in mathematical models with application A) on sos or odysseware and gotten a prefect score?? Pls help!
I need help on the whole assignmnet but particularly this question..
Answer:
1) 62.5
2) 50
3) 75
4) 100
Step-by-step explanation:
1)
Because it has a half-life of 25 days, half of it will decay after 25 days.
After [tex]25*4=100[/tex] days, there will be [tex](1/2)^{4}=1/2^{4}=1/16[/tex] of it left.
So, [tex]1000/16=\boxed{62.5}[/tex].
2)
Because it has a half-life of 25 days, half of it will decay after 25 days.
After [tex]25*3=75[/tex] days, there will be [tex](1/2)^{3}=1/2^{3}=1/8[/tex] of it left.
So, [tex]400/8=\boxed{50}[/tex]
3)
Because it has a half-life of 25 days, half of it will decay after 25 days.
After [tex]25*2=50[/tex] days, there will be [tex](1/2)^2=1/2^{2}=1/4[/tex] of it left.
So, [tex]300/4=\boxed{75}[/tex].
4)
The only answer left is [tex]\boxed{100}[/tex] grams. You can solve it the same way you solved the previous steps.
Solve the simultaneous equations x + 3 y = 14
− x + 2 y = 6
Answer: x=2 y=4
Step-by-step explanation: elimination method attached below.
someone please help me my math teacher didnt even come to class today
Answer: See the worksheet below. Hope you can see.
Step-by-step explanation:
Roots: where the parabola intersects the x-axis
Axis of symmetry: the line that runs along the vertex of the parabola
Vertex: the points at which the parabola changes direction
Intercept: the point where the line intersects the y axis
Domain: the values of x (lowest to highest)
Range: the values of y (lowest to highest)
Help with Pre-Calculus!!
Answer:
See explanation
Step-by-step explanation:
1)
The importance of the inequality is that this it restricts the possible values of the change.
2)
Without the inequality, q would not be restricted at all, and would be free to range in all values.
I need help with this asap. thank u
Answer:
1/3
Step-by-step explanation:
1. When we divide any x-input by the y-input, we get 3. This is the same as multiplying the x-input by 1/3 to get the y-input. Let's see if it works!
[tex]3 * \frac{1}{3} = \frac{3}{3} = 1[/tex] [tex]6 * \frac{1}{3} = \frac{6}{3} = 2[/tex] [tex]12 * \frac{1}{3}= \frac{12}{3}=4[/tex] [tex]15*\frac{1}{3}=\frac{15}{3} =5[/tex]2. Great! All our x-inputs and y-inputs match up, meaning the constant of proportionality, k, is 1/3.
Denise bought a T-shirt at the sale price of $21.08. This represents a 15% decrease in price. What was the original price of the shirt?
Answer:
100% - 15 % = 85 %
So, $21.08 represents the 85% sale price
What number represents the other 15% of the original price?
(21.08 x 15) / 85 = 3. 72
$21.08 + $3.72 = $24.80 which is the original price.
Step-by-step explanation: