NO LINKS!!! Solve each triangle. Part 3aa
NOT A MULTIPLE CHOICE!!

1aa. B=10°, C=100°, b= 2
2bb. A= 40°, B= 40°, c= 2
3cc. A= 110°, C= 30°, c= 3​

Answers

Answer 1

Answer:

Sum of interior angles of a triangle = 180°

Sine rule to find side lengths:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

----------------------------------------------------------------------

Question 1aa

Given: B = 10°, C = 100°, b = 2

10° + 100° + A = 180°

A = 70°

[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]

[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]

[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]

----------------------------------------------------------------------

Question 2bb

Given: A = 40°, B = 40°, c = 2

40° + 40° + C = 180°

C = 100°

[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]

[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]

----------------------------------------------------------------------

Question 1aa

Given: A = 110°, C = 30°, c = 2

110° + 30° + B = 180°

B = 40°

[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]

[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]

[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]


Related Questions

Please help asap! I will gave brainlest!

Answers

Answer:

option D.

Step-by-step explanation:

1) cosx=cotx;

[tex]cosx(\frac{1}{sinx} -1)=0;[/tex]

[tex]\left[\begin{array}{ccc}cosx=0\\sinx=1\end{array} \ = > \ \left[\begin{array}{ccc}x=\frac{\pi }{2} +\pi k\\x=\frac{\pi }{2} +2\pi n\end{array}[/tex]

where n,k∈Z;

2) if x∈[0;2π], then x=π/2; 3π/2.

Note, the greek letter 'Θ' is replaced with 'x'.

Answer:

π/2, 3π/2

Step-by-step explanation:

Given :-

0 ≤ θ < 2π

To Solve :-

cosθ = cotθ

Solving :-

cosθ = cotθcosθ = cosθ/sinθ1 = 1/sinθsinθ = 1θ = π/2, 3π/2

Simplify 10^–8.
from edge 2022

Answers

Answer/Step-by-step explanation:

[tex]10^{-8}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]10^{-8}=\frac{1}{10^8}[/tex]

[tex]10^8=100000000[/tex]

[tex]=\frac{1}{100000000}[/tex]

or [tex]1e-8[/tex]

Decimal Form: 0.00000001

Hence, the following below might be your answer [Different form]:

1e - 80.000000011/100000000

[RevyBreeze]

Please help me find the equation xx

Answers

9514 1404 393

Answer:

(2x-10) +x +(x+10) = 180x = 45(2x-10)° = 80°(x+10)° = 55°x° = 45°

Step-by-step explanation:

The equation is an expression of the fact that the sum of the angles in a triangle is 180°.

  (2x -10)° +x° +(x +10)° = 180°

For the purposes of the answer box, I'd leave off the degree symbol:

  (2x -10) +x +(x +10) = 180

__

This simplifies to ...

  4x = 180

  x = 45

Then the angles (CW from top) are ...

  (2·45 -10) = 80°

  (45 +10)° = 55°

  (45)° = 45°

ABCD ~ JKLM. Write a proportion containing BC and JM

Answers

Answer:

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{BC}{KL}[/tex] = [tex]\frac{AD}{JM}[/tex]

Find the value of each expression 9+18÷3

Answers

Answer:

15

Step-by-step explanation:

first you divison

18 ÷ 3

which equals 6

then you add 9

which equals 15

Answer:

15

Step-by-step explanation:

use PEMDAS so divide 18 by 3 first and the add it to 9

what is 5/8 + 1/12? and how do you do it?

Answers

The answer to your question is 17/24

First find the lcd which is 24

5/8 = Times eight by three to get 23 = And whatever you do to the top you do to the bottom = So then you would do five times three to get 15 = To create your new fraction 15/24

1/12 = Times twelve by two to get 24 = And whatever you do to the top you do to the bottom = So then you would do one time two to get 2= To create your new fraction 2/24

Then you would add 15/24+2/24= 17/24

Please help asap! I will gave brainlest!

Answers

Answer:

270°

Step-by-step explanation:

Given :-

0° ≤ θ < 360°

To Find :-

sinθ = -1

Solving :-

We know sin90° = 1Therefore, for it to be negative, it needs to be rotated by 180°⇒ 90° + 180° = 270°

Can someone help me with this please?

Answers

4

Step-by-step explanation:

The green line has a slope of because it is parallel with the red line

Lines which are parallel have same slope

What is the image point of (3, 7) after a translation right 5 units and up 1 unit?

Answers

i don’t understand ur question

Answer:( 8,8)

Step-by-step explanation:

Our class can rent a bus that will cost $35 for a service fee plus $2 for every travel. We have a total of $150 we can spend on the rental. Write an equation and solve it to find out the greatest distance we could travel. Equation:​

Answers

Answer: 4

Step-by-step explanation:

add 35 with 2 = 37 and then divide 150 divided by 37 = 4

3. A playground designer wanted to place a fountain so that it was close to both the slide and the swings.

Refer to the coordinate grid shown. Each unit on the grid represents 5 ft.


(a) Find the distance from the fountain to the slide. Show your work.
(b) Find the distance from the fountain to the swings. Show your work.

Answers

Answer:

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.

The cost of parking a car in an hourly lot can be
represented by the following equation
y = 3.2 + 2
What does the 2 tell you about the cost of
parking?
Select one:
You can only park for 2 hours
O
It costs 5 dollars to park all day
O
There is a 52 fee to park, before the number of
hours are factored in
The hourly rates $2

Answers

Answer:

C. There is a $2 fee to park, before the number of hours are factored in.

Step-by-step explanation:

Given that the equation, [tex] y = 3x + 2 [/tex], represents total cost charged for at a parking lot for customers to park their car, thus:

the "x" represents the number of hours,

3 represents the charged fee per hour

2 represents the flat fee charged, which is the starting fee, before the number of hours is calculated and added.

Therefore, the answer is "C. There is a $2 fee to park, before the number of hours are factored in."

In a given school, there 240 boys and 260 girls.
a) What is the ratio of the number of girls to the number of boys?
b) What is the ratio of the number of boys to the total number of pupils in the school?

Answers

Girls=260Boys=240

Ratio:-

[tex]\\ \rm\Rrightarrow \dfrac{Girls}{Boys}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{260}{240}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{13}{12}[/tex]

[tex]\\ \rm\Rrightarrow 13:12[/tex]

#2

Total pupils=240+260=500

Ratio

[tex]\\ \rm\Rrightarrow \dfrac{240}{500}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{25}[/tex]

[tex]\\ \rm\Rrightarrow 12:25[/tex]

Answer:

a) 13:12

b) 12:25

Step-by-step explanation:

a) ratio of girls to boys

260:240 or 13:12

b) ratio of boys to the total number of pupils

240:(240+260) or 240:500 or 12:25

The basic way to find this is by simplifying.

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Thanks!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

Write the equation of a line in slope-intercept form with a slope of 7/
4 and a y-intercept of −3 .

Answers

y=7/4x-3 or y=1.75x-3

answer urgent please!!

Answers

Answer:

15

Step-by-step explanation:

[tex]u=5i-j\\\\v=3i+j\\\\w=i+4j\\[/tex]

[tex]v+w[/tex]

[tex]3i+j+i+4j\\\\4i+5j\\\\u*(v+w)\\\\(5i-j)(4i+5j)\\\\20-5\\\\\boxed{15}[/tex]

~

Replace ? with an expression that will make the equation valid.

Answers

Answer:

4x³

Step-by-step explanation:

d/dx ln(x⁴ + 7) = 1/(x⁴ + 7) × _?

To obtain the missing expression, let us simplify d/dx ln(x⁴ + 7). This can be obtained as follow:

Let y = ln (x⁴ + 7)

Let u = (x⁴ + 7)

Therefore,

ln(x⁴ + 7) = ln u

Thus,

y = ln u

dy/du = 1/u

Next, we shall determine du/dx. This is illustrated below:

u = (x⁴ + 7)

du/dx = 4x³

Finally, we shall determine dy/dx of ln (x⁴ + 7) as follow:

dy/dx = dy/du × du/dx

dy/du = 1/u

du/dx = 4x³

dy/dx = 1/u × 4x³

But:

u = (x⁴ + 7)

Therefore,

dy/dx = 1/(x⁴ + 7) × 4x³

Thus, the missing expression is 4x³

What is the length of segment AB

Answers

Answer:

length of AB is 10

Step-by-step explanation:

rise=8

run=6

[tex] {8}^{2} + {6}^{2} = \sqrt{100} [/tex]

[tex] \sqrt{100} = 10[/tex]

21.
Ify= 1+x, find
x
dy.
/
dx

Answers

Answer:

  A.  2/(1 -x)²

Step-by-step explanation:

The derivative of a ratio is given by the formula ...

  d(u/v) = (v·du =u·dv)/v²

Here, we have ...

  u = 1+x; du = 1·dx

  v = 1 -x; dv = -1·dx

Then ...

  [tex]dy=\dfrac{(1-x)(dx)-(1 +x)(-dx)}{(1-x)^2}\\\\\dfrac{dy}{dx}=\dfrac{1-x +1+x}{(1-x)^2}=\boxed{\dfrac{2}{(1-x)^2}}[/tex]

__

Additional comment

The formula used above is a combination of the power rule and the product rule.

d(u^-1) = -du·u^-2 = -du/u² . . . . power ruled(uv) = u·dv +v·du . . . . . . . . product rule

An author wants to write at least 100 pages of a book in a month. He already has 25 pages of the book written and there are 15 days left in the month. The inequality 15x+25≥100 represents this situation, where x represents the number of pages that the author should write in a day. Solve this inequality for x. Graph the solution set on the number line below. Identify one value that is in the solution set of the inequality.

Answers

X=5
15x+25>100
-25 -25
15x>75
—- —-
15x 15x
X>5
Act like there is a line under the >sign

Answer:

X=5

Step-by-step explanation:

X=5

15x+25>100

-25 -25

15x>75

—- —-

15x 15x

X>5

Act like there is a line under the >sign

The diagram show two congruent polygons joined together

Answers

Answer:

10

Step-by-step explanation:

Matthew bought 2 movie tickets for $11, and Rosa bought 7 movie tickets for $38.50. What is the constant of proportionality?

Answers

Answer:

You should multiply 5.5 by 7 and it is equal to 38.5 so it is D

explanation:

did the test hope this helps! :D

The constant of proportionality of the given condition is 5.5.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Let's say Matthew and Rosa's constant of proportionality is K.

Now,

Matthew bought 2 movie tickets for $11.

So,

11 ∝ 2

11 = K 2 ⇒ K = 5.5

Now,

Rosa bought 7 movie tickets for $38.50.

So,

38.50 ∝ 7

38.50 = K 7 ⇒ K = 5.5

Hence "The constant of proportionality of the given condition is 5.5".

For more information about ratio and proportion,

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Help help math math ASAP math

Answers

Answer:

[tex]\displaystyle y - 4 = \frac{1}{5}(x - 5)[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so −5 becomes . Now, proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = \frac{1}{5}(x - 5)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

PLEASE HELP!!! FAST I HAVE 2 MINUTES! MULTIPLE CHOICE! PLEASE SHOW A LITTLE WORK FAST!

Answers

Answer:

A. y=-2x+1

Step-by-step explanation:

rise over run rise(up or down) 2 run(right or left) 1

what is the answer to 12x2

Answers

Answer:

24

Step-by-step explanation:

12 + 12 = 24

Answer:

it is 24

Step-by-step explanation:

I need help if you absolutely don’t know please don’t but a random answer down 11:24 a.m est

Answers

Answer:

i can go ahead and say that for question 1, the answer is 1,568,000,000,000,000,000,000,000,000,000

estimation is ethier 2,000,000,000,000,000,000,000,000,000 or 1,700,000,000,000,000,000,000,000,000,000

also i'm very sorry if this didn't help you! but i really hope this did help you out a little

miles has 25 coins In his pocket. Some are Nichols and some are dimes. He has a total of $1.65 how many of each type of coin does he have?​

Answers

▪ Answer:

n = 17

d = 8

▪ Step-by-step explanation:

Hi there !

1 nickel = 5c

1 dime = 10c

$1.65 = 165c

n + d = 25 => n = 25 - d

5n + 10d = 165

replace n

5(25 - d) + 10d = 165

125 - 5d + 10d = 165

5d = 165 - 125

5d = 40

d = 8 (dimes)

n = 25 - d

n = 25 - 8

n = 17 (nickels)

Good luck !

What is the equation of the given line in standard form?


–6x + 7y = –17


–6x + 11y = –13


–11x + 6y = –13


–6x +11y = 13

Answers

The answer should be c because it has the same slope as the graph

Find the values of x and y that make the quadrilateral a parallelogram.

Answers

Answer is in the image, proof also has given

Can someone explain how they got the answer for this?

Answers

Answer:

y = 6x + 4

Step-by-step explanation:

We know the equation is linear.  First, use two points to find the slope of the line.

m = (y₂ − y₁) / (x₂ − x₁)

m = (10 − 4) / (1 − 0)

m = 6

The y-intercept is 4.  So the equation of the line is:

y = mx + b

y = 6x + 4

Researchers surveyed one hundred students on which superpower they would most like to have. The two-way table below displays data for the sample of students who responded to the survey.
Superpower Male Female TOTAL
Fly 30 10 40
Invisibility 12 32 44
Other 10 6 16
TOTAL 52 48 100
Find the probability that the student was male, given the student chose to fly as their superpower.
P\left( \text{male }| \text{ fly} \right)=P(male ∣ fly)=P, left parenthesis, start text, m, a, l, e, space, end text, vertical bar, start text, space, f, l, y, end text, right parenthesis, equals

Answers

30/40= .75= 75%
Since it’s given the student chose to fly as their superpower, you only look at the total males in that row.

The probability that the student was male, given the student chose to fly as their superpower is 2/3.

What is a conditional relative frequency?

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Total females = 48

Females and invisibility = 32

P(invisibility/female) = 32/48

= 2/3

Thus, the probability that the student was male, given the student chose to fly as their superpower is 2/3.

Learn more about the conditional relative frequency here:

brainly.com/question/8358304

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