help me please need help missing lengths​

Help Me Please Need Help Missing Lengths

Answers

Answer 1

Answer:

Step-by-step explanation:

Ratio of side of the 30-60-90 triangle is x : x√3 : 2x

Side opposite to 30° is the shortest leg and it is a

Side opposite to 60° is the longest leg and it is a√3

side opposite to 90° is hypotenuse and it is 2a and it the longest side.

7) a = 8 (Which is opposite to 30°)

 w = 2a = 2*8

w = 16

v = √3a = √3 *8

v = 8√3

8) a√3 = 5√3   (Which opposite to 60°)

   a = 5√3 ÷√3

y = a ⇒y= 5

x = 2a

  = 2*5

x = 10

9) hypotenuse = 10

2a = 10

a = 10 ÷ 2

a = 5

x = a√3

x = 5√3

y = a

y = 5


Related Questions

simplify the solution: 9/4x-5/x+11/3=0

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable

x

.

Exact Form:

x

=

22

2

526

27

,

22

+

2

526

27

Decimal Form:

x

=

0.88405110

,

2.51368073

Step-by-step explanation:

Identify the graph and describe the solution set of this system of inequalities y<-3x-2 y>-3x+8 A. The solution set is shown by region C.B. There is no solution.C. The solution set is shown by region B.D. The solution set is shown by region A

Answers

The inequalities have no solution since their graph does not intersect or overlap.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality given is y<-3x-2 and y>-3x+8, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.

Hence, The inequalities have no solution since their graph does not intersect or overlap.

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Answer:

B. There is no solution.

Step-by-step explanation:

And katie stop deleting my answers

Simplify (- 20 - 3i) - (- 22 - 1i)

Answers

A technique of expressing an equation in the most efficient form possible while altering the quality of the underlying statement is known an algebraic equation.

Simplifying the given expression:

⇒ (- 20 - 3i) - (- 22 - 1i)

⇒ (- 20 - 3i + 22 + 1i)

⇒ (2  - 2i)

Therefore the simplification of the given expression is "(2  - 2i)"

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O is the center of the regular pentagon below. Find its area. Round to the nearest tenth if necessary.

Answers

Answer:

your answer would be 929.24856 or

≈ 929.2

Step-by-step explanation:

tan15∘ = opposite/adjacent​= x/17

tan15 ∘= x/17

tan15 /1 = x/17

1/2= 4.55514 ·17

=38.718689

38.718689 · 2 = 77.43738

(77.43738)(12)(multiply the 2)

and your answer should then be....929.24856 or 929.2

i hope i was able to help you!!!

The area of the regular pentagon is 929.2486 or 929.2.

What is regular pentagon?

A pentagon is geometrical shapes with" five sides and five angles". The 'pen' represents five and 'gon' represents 'angle' .

According to the question,

The regular pentagon has 'O' as its center and radius of regular pentagon is 17.

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

Find the length of the apothem

tan θ = [tex]\frac{opposite}{adajacent}[/tex]

To find θ

The sum of the angles divided by number of sides and to find sum of the angles is (n-2)180.

(12-2)180 = (10)(180).55

             = 1800.

To find entire interior angle 1800 divided by 8 we get 225.For the triangle  at the bottom of the diagram, the angle is half tha is 225 divided by 5 is 15°.  

tan 15° = [tex]\frac{x}{17}[/tex]

(0.2679) 17 = x

x = 4.5543

Perimeter of the polygon = (4.5543)(17)

                                          = 77.4231

Formula for Area of regular apothem:1/2×(perimeter of polygon)× apothem

=77.4231 × 12

=929.2476

Hence, The area of the regular pentagon is 929.2486 or 929.2.

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Quincy's father added a 20 ft by 10 ft porch to the house. The house is 50 ft by 40 ft. Find the total area of the house and porch.

A. 1,800 ft2
B. 2,200 ft2
C. 2,000 ft2
D. 200 ft2

Answers

The answer is C. 2,000ft2 because area is length times width so basically 50 times 40

The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width

Answers

Answer:

10

Step-by-step explanation:

Since a rectangle has 2 sets of congruent sides we can set up the equation:

48=2x+2y

We have our x value/length (14) so we can plug that in to the equation.

48=2(14)+2y

Then we have to simplify

48=28+2y

20=2y

Then simply solve for the y value, which is your width

10=y

5.967 is when rounded to the nearest whole number.​

Answers

Answer:6

Step-by-step explanation:

5.967 is about 6 because 5.9 9 is above 4 so we round up.

The eggs produced at Jen's Hen Farm and Rick's Chick Farm are normally distributed. The eggs produced at Jen's Hen Farm have a mean weight of 2. 11 ounces and a standard deviation of 0. 08 ounce. The eggs produced at Rick's Chick Farm have a mean weight of 2. 15 ounces and a standard deviation of 0. 07 ounce. Each farm produces a total of 100, 00 eggs per month

Answers

The eggs are illustrations of normal distributions, and Jen's egg is more likely to be classified as large egg

Who is more likely to select an egg classified as large?

The given parameters are:

Jen's Hen Farm

Mean, μ = 2.11Standard deviation, σ = 0.08

Rick's Chick Farm

Mean, μ = 2.15Standard deviation, σ = 0.07

The range of the egg distribution in both samples is calculated using μ ± σ

For Jen, we have:

μ ± σ = 2.11 ± 0.08

Expand

μ ± σ = (2.11 - 0.08, 2.11 + 0.08)

This gives

μ ± σ = (2.03, 2.19)

For Rick, we have:

μ ± σ = 2.15 ± 0.07

Expand

μ ± σ = (2.15 - 0.07, 2.15 + 0.07)

This gives

μ ± σ = (2.08, 2.22)

So, we have:

Jen = (2.03, 2.19): Range = 2.19 - 2.03 = 0.16

Rick = (2.08, 2.22): Range = 2.22 - 2.08 = 0.14

Eggs classified as large have the weight 2.0 < m ≤ 2.25

0.16 is greater than 0.14.

Hence, Jen's egg is more likely to be classified as large egg

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Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?

Answers

Jill and Cheryl took 12 years and 18 years, respectively, to double their money.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

[tex]\rm t = \dfrac{72}{r}[/tex]

where r is the interest rate and t be the time

The time for the Jill will be

[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]

The time for the Cheryl will be

[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]

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please help me i don’t know how to do this my teacher didn’t explain it well

Answers

Answer:

see below

Step-by-step explanation:

It's sort of hard to draw a rectangle digitally but the area of it would be

               15 x (12+2) = 210 square feet

For the top left rectangle 3 x 4 feet = 12 square feetFor the top right corner triangle area of a triangle is half the base multiplied by the perpendicular height so 2(2/2)=2 square feetHere are my workings for the area of the shaded region 210-(8x4)-12-2=164 square feetIf the cost per square foot is $5.40 then 5.4 x 164 = $885.60 for the whole kitchen

Which choice correctly compares the two decimal numbers to hundredths? A) 28.14 > 29.11 B) 28.61 > 28.48 C) 29.13 < 28.37 D) 29.19 < 28.32

Answers

Answer:

B) 28.61 > 28.48

Step-by-step explanation:

A is wrong because 28 < 29

B is correct because 0.61 > 0.48

C is wrong because 29 > 28

D is wrong because 29 > 28

I hope this helps!

What is the equation of the line that is perpendicular to
the given line and passes through the point (3, 0)?

Answers

Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8


Colin predicted whether he got answers right or wrong in his 50 question exam.
He identified the 11 questions he thought he got wrong.
It turns out that Colin got 5 questions right that he thought he got wrong.
Colin also got a total score of 34 out of 50 in the test.
What is the percentage accuracy he had with predicting his scores?

Answers

Answer:

92.86%

Step-by-step explanation:

Total questions, T = 50.

Colin thought 8 questions were right.

Colin got 5 questions right that he thought he got wrong.

Total score, s = 45.

So, actual number of questions which are wrong are 5.

Score according to him = 50 - 8 = 42.

Therefore, percentage accuracy he had with predicting his scores is 92.86%.  

help fast!! (no links please.)

Answers

Answer:

C) 3.

Step-by-step explanation:

(3^2 + 2^2) - 2(3^2 - 2^2)

= (9 + 4) - 2(5)

= 13 = 10

= 3.

Answer:

C) 3

Step-by-step explanation:

When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.

( c^2 + d^2 ) - 2 ( c^2 - d^2 )

( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )

( 9 + 4 ) - 2 ( 9 - 4 )

( 13 ) - 2 ( 5 )

( 13 ) - 10

3

U
S
V
Y
4x0
T
W
60°
.
Z
X
Find m2 svw.
mZSVW =

Answers

Answer:

Answer is 72°. Hope it helps.....

Can anyone please help me? :)

Answers

Answer:

I think it is 20 pi units.

Step-by-step explanation:

Given:

h= 5 units

Base area (its base is a circle. And we know, Area of the circle is pi*r^2 )

So now,

Volume of cylinder= pi*(r)^2 * h

                               = (pi*r^2) * h (the base area is given as 4 pi, so we substitute it )

                               = 4pi* 5

                               = 20 pi units.

Hope it helps........

Which of these represents an individual form of life such as an animal, plant, or single-celled life form?

Organ
Organism
Organ system
Tissue

Answers

Answer:

organism

Step-by-step explanation:

all the other anwsers are what is inside a organism

Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left? A) $4. 82 B) $5. 08 C) $6. 58 D) $7. 12​

Answers

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88[/tex]

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08[/tex]

In the frog jumping contest, Sam's frog 17.53 meters. Juan's frog jumped 23.8 meters. How much further did Juan's frog jump? ​

Answers

Calculate the difference between the two values.

23.8m - 17.53m = 6.27m [further]

1. We know if just one dimension of a 3-D figure is 4 times longer, the volume is 4 times longer. If all three dimensions change to be 4 times longer, how many times larger is the volume?

Answers

Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:

V = 4³ = 4 x 4 x 4 = 64.

The volume is 64 times larger than the volume of the original figure.

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Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race?

A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 1.125 minus t, and 20 left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has 8, t, and 8 t. The second row shows Bike, and has 20, 15 minus t, and 20 left-parenthesis 15 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 1.125 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 1.125 minus t right-parenthesis.
A table showing Rate in mile per hour, Time in hours, and Distance in miles. The first row shows Run and has StartFraction 1 Over 8 EndFraction, t, and StartFraction 1 Over 8 EndFraction t. The second row shows Bike, and has StartFraction 1 Over 20 EndFraction, 15 minus t, and StartFraction 1 Over 20 EndFraction left-parenthesis 15 minus t right-parenthesis.

Answers

Answer:

right all about i think all are right

How to do this please help

Write an equation and please explain how to do it

Answers

find the point of where the line touches the y axis

A rectangle measures 2
1
2
inches by 1
5
16
inches. What is its area?

Answers

Considering it's dimensions given as improper fractions, the area of the rectangle is of 3.28125 in².

What is the area of a rectangle?


The area of a rectangle of length l and width w is the multiplication of these dimensions, that is:

A = lw.

In this problem, the dimensions in inches are given as follows.

[tex]l = 2\frac{1}{2} = 2 + 0.5 = 2.5[/tex].[tex]w = 1\frac{5}{16} = 1 + 0.3125 = 1.3125[/tex].

Hence the area in squared inches is given by:

A = lw = 2.5 x 1.3125 = 3.28125 in².

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The function g(x) = 10x2 – 100x 213 written in vertex form is g(x) = 10(x – 5)2 – 37. which statements are true about g(x)? select three options. the axis of symmetry is the line x = –5. the vertex of the graph is (5, –37). the parabola has a minimum. the parabola opens up. the value of a, when the equation is written in vertex form, is negative.

Answers

The vertex of the function of g(x) is (5, -37).

What is the vertex form of the parabola?

The formula for the vertex form of a parabola is f(x) = a (x - h) 2 + k where: a = vertical stretch or shrink of the parabola and (h, k) are the (x, y) coordinates of the vertex of the parabola.

The vertex form of the parabola is given by;

[tex]\rm g(x) = 10x^2-100x+213\\\\g(x)=10(x-5)^2-37[/tex]

On comparison with the standard equation of parabola the vertex of the parabola are;

h = 5 and K = -37

Hence, the vertex of the function of g(x) is (5, -37).

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Answer:

---> The vertex of the graph is (5, –37).

--->  The parabola has a minimum.

--->  The parabola opens up.

Step-by-step explanation:

IT'S CORRECT ON PRE-TEST / ON TEST

Which inequalities are true? Select the four correct answers.
O<
0 V8
OVE <3
V> 7
口<2
O /> 8
01

Answers

Step-by-step explanation:

Check the attached photo out

Which of the following is true about the expression 5^1/4

Answers

Answer:

Answer is greater than 1

Includes Fraction

Rational

Step-by-step explanation:

The bill is $100.99. You want to leave a 20% tip. How much should the tip be?

Answers

Answer:

$20.20

Step-by-step explanation:

First Convert 20% into a decimal, by dividing it by 100

Percent = out of 100

20/100 = 0.2

Now, multiply the decimal (0.2) with the bill amount ($100.99):

0.2*100.99

$20.198 <== *remember, we are using money, so we round to the nearest cent (dime)

$20.20 <== how much tip you want to leave

How much you pay altogether:

(Bill + tip)

100.99 + 20.20

$121.19

Hope this helps!

Question 4e Choice Worth 2 )
(03.06 MC)
B В
V
х
у
WD
N
A
What expression represents the value of x?
Ox= ww+z)
Ox=vZ(w+z)
=
Ox=/wy
Ox=WZ
ſ

Answers

Answer:

A

Step-by-step explanation:

using the altitude- on- hypotenuse theorem

( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so

x² = w × (w + z) = w(w + z) ← take square root of both sides

x = [tex]\sqrt{w(w+z)}[/tex]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

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.

The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.

Then the equation is given as,

x / (w + z) = w / x

Simplify the equation for 'x', then the equation is written as,

x / (w + z) = w / x

x² = w × (w + z)

x = √[w(w + z)]

The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.

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I will give some brainliest if they answer this

Answers

Answer:

Given:

Total horses tested = 140Horses that had Lyme disease = 42Horses that had arthritis = 112

Let x = number of horses that had BOTH Lyme disease and arthritis.

⇒ (112 - x) + (42 - x) + x = 140

⇒ 154 - x = 140

⇒ x = 14

Therefore, place 14 in the middle overlapping area.

To find the number to place in the left section:  42 - 14 = 28

To find the number to place in the right section:  112 - 14 = 98

what is the volume of the rectangular prism?

Answers

Answer:

96

Step-by-step explanation:

L x W x H

8 x 4 x 3 = 96

96 L x W x H. 4x8x3=96
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