Worth 20 points! Drag each length to the correct location on the triangle. Each length can be used more than once, but not all lengths will be used.
What are the missing side lengths for triangle ABC?
(file is attached below!
Answers
The value of the perpendicular is 12 and the hypotenuse is 8√3.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
The value of the sides will be calculated as:-
The perpendicular side will be calculated by using tan theta.
tan Ф = Perpendicular / BAse = P / 4√3
P = 4√3 x tan(60)= 4 √3 x √3 =12
The value of the hypotenuse will be calculated by using the Cos angle:-
Cos 60 = Base \ Hyputenuse.
Cos 60 = 4√3 / Hypotenuse
1 / 2 = 4√3 / Hypotenuse
Hypotenuse = 2 x 4 x √3 = 8√3
Therefore the value of the perpendicular is 12 and the hypotenuse is 8√3.
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Related Questions
What is the product of the 2x³ and the 4x²y-3xy²?
Answers
Answer:
8x⁵y - 6x⁴y²
Step-by-step explanation:
(2x³)(4x²y - 3xy²)
= 2x³ * 4x²y + 2x³ * -3xy²
= 8x⁵y - 6x⁴y²
All the real zeros of the given polynomial are integers. Find the zeros.
P(x) = x³ + 4x2 - 19x + 14
X =
Answers
Answer:
x = - 7 , x = 2 , x = 1
Step-by-step explanation:
note that
p(1) = 1³ + 4(1)² - 19(1) + 14 = 1 + 4 - 19 + 14 = 0
since p(1) = 0 , then x = 1 is a zero
using synthetic division
1 | 1 4 - 19 14
↓ 1 5 - 14
------------------------
1 5 - 14 0
quotient is x² + 5x - 14
equating quotient to zero
x² + 5x - 14 = 0
(x + 7)(x - 2) = 0
equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
then zeros are x = - 7, x = 2 , x = 1
Answer:
[tex]x = 1\\\\x =2\\\\x = -7[/tex]
Step-by-step explanation:
[tex]~~~~~~~x^3 +4x^2 -19x +14=0\\\\\implies x^3- x^2+5x^2 -5x -14x+14=0\\\\\implies x^2(x-1) +5x (x-1)-14 (x-1)=0\\\\\implies (x-1)(x^2 +5x -14) = 0\\\\\implies (x-1) (x^2 +7x -2x -14) = 0\\\\\implies (x-1) \textbf{[}x(x+7) -2(x+7) \textvf{]}=0\\\\\implies (x-1)(x-2)(x+7)=0\\\\\implies x = 1,~ x =2,~ x = -7[/tex]
If kinaata goes for swimming lessons every 5 days while Wayo goes every 6 days. if both kinaata and Wayo had swimming lessons together at the pool today, after how many days will both meet again at the pool for lessons?
Answers
Step-by-step explanation:
we need the least or smallest common multiple for both numbers, 5 and 6.
this is very simple for the small numbers here, but in general we look at the prime factors of both numbers :
6 has the prime factors 2 and 3.
5 has only 5.
so, the LCM is 2×3×5 = 30.
they will meet again after 30 days.
FYI -
the LCM is for larger numbers a and b not automatically a×b. if both numbers share prime factors, the LCM can be smaller than a×b, as the LCM is using every overlapping prime factor only once.
what is the following sum
Answers
Answer: D
Step-by-step explanation:
the answer is option D
Will works at a shoe store. For every 2 pairs of striped shoes he sells, he sells 3 pairs of neon shoes. Will sold 12 pairs of striped shoes. How many pairs of neon shoes did he sell?
A
12
B
8
C
30
D
18
Answers
Answer:
d
Step-by-step explanation:
12÷2×3=18
..........
If every 2 is 3, divide 12 by 2 to get 6 and then multiply 6 by 3 to get 18
P = 3t² + 7t
Work out the value of P when t = -4
Answers
Answer:
P = 20
Step-by-step explanation:
Hello!
We can solve this by substituting -4 for t.
EvaluateP = 3t² + 7tP = 3(-4²) + 7(-4)Remember that any negative number squared is the absolute value of that number squared.
P = 3(|-16|) - 28P = 3(16) - 28P = 48 - 28P = 20The final evaluation is 20.
A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of picture shows.fine the width of the frame around the picture
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If the value of x is 4 cm. Then the width of the frame will be 12 cm.
What is the area of the rectangle?Let L be the length and W be the width of the rectangle.
Then the area of the rectangle will be
Area of the rectangle = L × W square units
A picture frame measures 16cm by 30cm on the outside, and 312cm^2 of the picture shows.
Let x be the increase in length and width. Then we have
(16 - x)(30 - x) = 312
x² - 46x + 480 = 312
x² - 46x + 168 = 0
x² - 42x - 4x + 168 = 0
(x - 42)(x - 4) = 0
x = 42, 4
The value of x can be more than 16. Then the value of x will be 4.
Then the width of the frame will be
W = 16 - x
W = 16 - 4
W = 12 cm
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i need help i also need answers
Answers
Answer:
23
Step-by-step explanation:
Given Shane hits 5 HRs out of 100 At-bats,
[tex]\frac{x}{460} = \frac{5}{100} \\\frac{x}{460} (460) = \frac{5}{100} (460)\\x = 23[/tex]
A breakfast bar comes in two sizes. The 5-ounce bars come in a box of 10. A box of the 7-ounce has 6 bars. The 5-ounce bar contains 15 grams of dietary fiber. How many grams of dietary fiber are in one box of the 7-ounce bars?
Answers
126 Grams Per Box
Step-by-step explanation:
15 grams of fiber / 5 ounces = 3 grams
3g X 7oz = 21g
21g X 6b = 126g
G - Grams
Oz - Ounces
B - Bars
A researcher asks the first 10 people he meets at a shopping mall about their opinions on a certain brand of shampoo. This is an example of a ________________.
A. self-selecting sample
B. convenience sample
C. random sample
D. systematic sample
Answers
Answer:
i believe the answer is A
Step-by-step explanation:
8. Write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1,2)
Answers
Answer: y = 3/5x + 13/5
Step-by-step explanation:
To solve this you would have to use slope-point form Y − y1 = m(x − x1)
In this case, you would plugin your x and y values from your 1 point. It would look something like this. y - 2 = m(x + 1). But now the issue is we don't know our slope, To find out a slope you would use 2 - y1/x2 -x1 which would be 3/5 so, in the end, the equation would look like y - 2 = 3/5 (x + 1). Now solve for Y and your answer would be y = 3/5x + 13/5
In the image, two circles are centered at A. The circle containing Bwas dilated to produce the circle containing B: What is the scale factor of
the dilation?
OA 1.
OB. 2
OC. 0.5
OD. -0.5
Answers
The scale factor of the dilation is 0.5
How to determine the scale of dilation?From the figure, we have the following lengths:
AB = 2
AB' = 1
The scale factor of dilation is then calculated as:
Scale factor = AB'/AB
This gives
Scale factor = 1/2
Evaluate
Scale factor = 0.5
Hence, the scale factor of the dilation is 0.5
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There are 97 students in South High School. South High School offers only Chinese and Spanish. There are 5 more students in Chinese than in Spanish, and every student takes at least one language. If 41 students take only Spanish, then how many take both languages?
Answers
Answer:
5
Step-by-step explanation:
Spanish: 46
Chinese: 51
Both languages: 46 - 41 = 5
Hope this helps
You roll a number cube. What is the probability it will land on a number greater than 5?
Answers
Explanation: there’s 6 sides of a cube if you mark them 1-6 there only one side that you can land on that is greater then 5 which is six also if you need it in percent it’s 16.6%
If 3x+4=133x+4=13, what is the value of x?
Answers
The value of x from the equation 3x + 4 = 31 and x + 4 = 13 is 9.
How to solve equation?3x + 4 = 31
x + 4 = 13
From equation (2)
x + 4 = 13
subtract 4 from both sides
x = 13 - 4
x = 9
Substitute x = 9 into (1)
3x + 4 = 31
3(9) + 4 = 31
27 + 4 = 31
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What will be the output of the program? public class SqrtExample { 03 03 O NaN O Compilation fails public static void main(String [] args) { double value = -9.0; System.out.println( Math ,sqrt(value));
Answers
Answer:
216apower4 b + 512 abpower4
Joshua’s computer loan statement said he would pay $1,244.34 in simple interest for a three-year loan at 12.4%. How much did Joshua borrow to buy the computer?
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[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$1244.34\\ P=\textit{original amount deposited}\\ r=rate\to 12.4\%\to \frac{12.4}{100}\dotfill &0.124\\ t=years\dotfill &3 \end{cases} \\\\\\ 1244.34=P[1+(0.124)(3)]\implies 1244.34=P(1.372) \\\\\\ \cfrac{1244.34}{1.372}=P\implies 906.95\approx P[/tex]
Which inequality does the graph represent?
Answers
Answer:
B
Step-by-step explanation:
The shaded area is less than the equation of the line ....it is a dashed line, so the line itelf is NOT included
the equation of the line is y = -x + 1
so the inequality is
y < -x+1
Answer:
y<-x+1
Step-by-step explanation:
by shading the left side of the dotted line x is negative, and the plus one is the point plotted on the dotted line, the dotted line is the cause of the < symbol, if it was a greater than or equals too the line would be solid.
Soon you will be doing slope which is y= mx + b
and graphing that, find some online or ask ur parents for help and get a jump on them early :) hope i helped
Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent.
Answers
Elyse is going to buy an around-the-world plane ticket, the number of different combinations of cities is mathematically given as
DF=960
What is the number of different combinations of cities?Generally, the equation for different combinations is mathematically given as
DF=(one city from Europe)*a city from Asia 8city from Africa* city from Australia
Therefore
DF=10C1*8C1*4C1*2C1
DF=10*8*4*3
DF=960
In conclusion, the number of different combinations of cities
DF=960
CQ
Elyse is going to buy an around-the-world plane ticket. She will get to see just one city from each continent she will visit. The following table below shows the continents on her trip and how many cities she can choose from for each continent. Continent Number of cities Europe 10 Asia 8 Africa 4 Australia 3 = Continent How many different combinations of cities does Elyse have to choose from?
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Please Urgent help,,,,
Answers
Answer:
This is the i-ready test, you have to try your best because if someone were to give you the answer, that will be cheating. The test provides teachers with a complete picture of student performance relating to their grade level and national norms. So, just try your best so you can get the lessons that are right for you.
(Im just saying but you don't have to listen to me ^^)
I hope someone sees this!!! Can someone check my work please??
Answers
Hello there!
I will only explain the ones that do not appear correct to me. If you require further explanation, please let me know.
1] vertical
2] corresponding
-> These two angles are in corresponding places on points of the lines, so they are corresponding angles.
3] alternate interior
4] alternate exterior
-> These angles are on the "outside" of the parallel lines, and on "opposite" sides of the transversal. With this in mind, they are alternate exterior angles
5] same side interior
6] same side exterior
-> These angles are on the "outside" of the parallel lines, and on the same side of the transversal. With this in mind, they are same-side exterior angles
BRANILY FOR CORRECT ANWSER
What is the solution for x2 + 4x < 77? –11 < x < 7 –7 < x < 11 x < –7 or x > 11 x < –11 or x > 7
Answers
Answer:
-11 < x < 7
Step-by-step explanation:
Inequalities:x² + 4x < 77
Subtract 77 from both sides
x² + 4x - 77 < 0
To find the zero points (Roots),
Make x² + 4x - 77 = 0
Now find the factors
x² + 11x - 7x - 77 = 0
x(x + 11) - 7(x + 11) = 0
(x +11) (x - 7) = 0
x + 11 = 0 or (x -7) = 0
x = -11 or x = 7
So, the solutions of the inequality is between (-11) and 7
-11 < x < 7
Answer:
x < –11 or x > 7 is the correct answer!!
Step-by-step explanation:
The answer above this was just slightly wrong. I took the exam and put my answer as option b and got it correct. Here is how I solved it correctly!
To solve the inequality x^2 + 4x > 77, we can factor the quadratic expression as (x - 7)(x + 11) > 0
To determine the solution, we consider the signs of each factor:
(x - 7) > 0 and (x + 11) > 0
This means x is greater than 7 or x is less than -11.
So, the simplified solution to the inequality x^2 + 4x > 77 is:
x < -11 or x > 7
The diameter of a circle is 50 m. Find its area to the nearest whole number.
Answers
Find the exact value of each expression.
sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°
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[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]
[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]
How do I Solve this equation
Answers
Hey there!
Solve for f :
Answer :f = 27.9 ✅
Explanation:> Given expression :
[tex] \displaystyle \frac{f}{9} = 3.1 \\ \\ [/tex]
> Multiply both sides by 9 :
[tex] \displaystyle \frac{f}{9} \times \red{9} = 3.1 \times \red{9} \\ \\ \Longrightarrow \boxed{ \green{f = 27.9}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Therefore, our answer is f = 27.9
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Paul has a spinner with 4 colors: green, yellow, blue, and orange. he spins the spinner 60 times and records each color it stops on. the results are shown in this table
Green-12
Yellow - 19
Blue - 14
orange - 15
Paul will spin the spinner an additional 450 times. how many times should he expect the spinner to stop on blue? SHOW WORK
Answers
it landed in blue 14 times in 60 spins for a 14/60 = 0.2333 probability.
450 spins x 0.2333 probability = 105 times
Answer: 105
For a monthly family cookout, David
buys 3 packages of hot dogs and 4
packages of hamburger patties.
Hot dog packages each contain a hot
dogs. Hamburger packages each
contain y hamburger patties.
Complete the expressions for the total number of hot dogs and hamburger
patties David buys for 6 cookouts.
Use the number pad to enter your answers in the boxes.
6(
x+
Answers
Answer:
help me to find Xian pleaseee:( i miss him so much:(
sorry for answering Non sense po i hope u understand me ty po!
There are 1,570 souvenir paperweights that need to be packed in boxes. Each box will hold 17 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.
Answers
Answer:
93 boxes will be needed.
Step-by-step explanation:
Divide 1570 ÷ 17
This gives the answer 92.35
So 92 boxes won't be enough. 0.35 of a box itsn't helpful in the real world. So you need 93 boxes.
Question 11 (1 point)
(03.06 MC)
Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table
shows the value of the real estate after the first and second years:
Year
1
12
Value (in dollars) $104,271.02 $107,399.15
Which function best represents the value of the real estate after t years?
O a
f(t) = 101,234(1.03)
Ob
f(t) = 101,234(0.03)
f(t) = 104,271.02(1.03)
f(t) = 104,271.02(0.03)
OC
Od
Question 12 (1 point)
Answers
Answer:
f(t) = 101,234
Step-by-step explanation:
A researcher develops a cage for a living cell in the shape of a square-based pyramid. A scale model of the cage is shown. What is the volume of the model?
A square pyramid-shaped cage with base edge labeled “20 micrometers” and height labeled “20 micrometers”.
Answers
The total volume of this squared-base pyramid based on the information provided is 2666 micrometers.
How to calculate the volume of the pyramid?The general formula to calculate the volume of a squared-based pyramid is:
base = area x height/ 3What is the volume of the model?Base area: 20 x 20 = 400
400 micrometers x 20/ 3 = 2666 micrometers.
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