In ΔTUV, t = 410 cm, ∠U=27° and ∠V=78°. Find the length of v, to the nearest 10th of a centimeter.

Answers

Answer 1

Answer:

[tex]v \approx 415.2\,cm[/tex]

Step-by-step explanation:

The angle T is:

[tex]\angle T = 180^{\circ} - 27^{\circ} - 78^{\circ}[/tex]

[tex]\angle T = 75^{\circ}[/tex]

Now, the length of v is determine by the Law of Sines:

[tex]\frac{410\,cm}{\sin 75^{\circ}} = \frac{v}{\sin 78^{\circ}}[/tex]

[tex]v = (410\,cm)\cdot \left(\frac{\sin 78^{\circ}}{\sin 75^{\circ}} \right)[/tex]

[tex]v \approx 415.2\,cm[/tex]


Related Questions

Please help !!!!!!! Will mark brainliest for the correct answer !!!!!!!!

Answers

Answer:

Step-by-step explanation:

-2m - 5n = 7m - 3n

-9m - 5n = -3n

-9m = -2n

m = 2n/9

g(m)= 2n/9

-9/2m is the answer.

-2m-5n=7m-3n

-2n=9m

n=9m/-2

so -9/2m

hope this helps :)

In the talent show, 6 students plan to sing, 7 students plan to dance, and 2 students plan to
tell jokes. Rick said that the ratio of singers to joke-tellers is 6 to 2. Leah said that the ratio of
joke-tellers to singers is 1 to 3. Who is correct? Explain why.

Answers

Answer:

Rick is correct

Step-by-step explanation:

Answer:

Rick is correct because there are 6 students that plan to sing and there are only 2 students that plan to tell jokes so the ratio is 6 to 2

Step-by-step explanation:

What two-dimensional figure results from slicing the sphere with the green plane?

Answers

Answer:

a circle

since you cut a sphere in half the two faces will be circles  

Please answer CORRECTLY !! Will mark brainliest !!!

Answers

Answer:

I think it's 4 but don't hold me to it

Step-by-step explanation:

charlotte is about 200 miles from Jefferson NC. How far apart would they be on a map with a scale of 1 in = 19 miles?

Answers

Answer:

10.52 inches away

Step-by-step explanation:

200/19

PLEASE ANSWER THIS QUESTION ILL MARK YOU AS THE BRAINLIEST

Answers

4. (x+6)^2=51

This is because when you multiply x+6 by itself you get
x^2+12x+36=51

then you need to move the 51 to the other side

x^2+12x-15=0

Using the matrix solver on your calculator, find the solution to the system of

equations shown below.

3x - 5y = 16

2x - 7y= 7

O

A. x = 1, y= 7

O

B. No solution

O

c. More than 1 solution

O

D. x = 7, y= 1

Answers

Answer:

wrong its actually D. x=7, y=1

i just took the test

The solution of the equation is x=7 and y=1, option D is correct

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are 3x - 5y = 16 and 2x - 7y= 7

we have to solve the equations

6x-10y=32...(1)

6x-21y=21...(2)

6x-10y-6x+21y=32-21

11y=11

Divide both sides by 11

y=1

Now plug in y value in any of equation to get x

3x-5=16

3x=16+5

3x=21

x=7

Hence, the solution of the equation is x=7 and y=1, option D is correct

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A fitness club opens with 80 members, Each month the membership increases by 15 members, Which equation represents the relationship between the number of months the club has been opened, x,and the total fitness club Membership,y,?

Answers

Answer:

y = 80+ 15*x

members = initial membership + growth* months

y = 80+ 15*x

∠1 and ∠2 are a linear pair. m∠1 = x - 29, and m∠2 = x + 61. Find the measure of each angle.

Answers

So,

m<1=45, m<2=135

So the right answer is of option D.

Look at the attached picture

Hope it will help you

Good luck on your assignment

The product of two rational numbers is ______ rational.

Answers

The product of two rational numbers is ALWAYS rational

The product of two rational numbers is always rational

Proof:

Let a = p/q and b = r/s be two rational numbers. We will have p,q,r,s be integers where denominators q and s are nonzero. We cannot divide by zero.

Multiplying a and b gives

a*b = (p/q)*(r/s) = (p*r)/(q*s)

Due to the closure property of integer multiplication, the expressions p*r and q*s are integers. The result we get is in the form of integer/integer. Basically we have two integers being divided. Furthermore, q*s is nonzero as neither q nor s is zero.

Therefore, if a and b are rational, then a*b is also rational as well.

lol this is my last question :)

Answers

Answer:

≈ 36.9

Step-by-step explanation:

You are given the opposite and adjacent side, leading you to use tan. However, since you're trying to find the angle measurement, you use the inverse of tan: [tex]tan^-1[/tex]

Set it up like this:

[tex]tan^-1 ( \frac{24}{32})=?[/tex]

When you solve, you get:

36.86

Round to the nearest tenth:

36.9

Solve for x rounded to the nearest tenth.
X
18
cos 70 =x/18

Answers

Answer:

6.2 =x

Step-by-step explanation:

cos 70 =x/18

Multiply each side by 18

18cos 70 =x/18 *18

18cos 70 =x

6.15636258 = x

To the nearest tenth

6.2 =x

Answer:

x = 1260

Step-by-step explanation:

if A= and B=, find BA.

Answers

Answer:

Option d.

Step-by-step explanation:

The given matrices are

[tex]A=\begin{bmatrix}3&2&-4\\ \:5&-5&-3\\ \:4&1&1\end{bmatrix}[/tex]

[tex]B=\begin{bmatrix}2&-4&1\\ \:5&-3&2\\ \:4&4&-5\end{bmatrix}[/tex]

We need to find BA.

[tex]BA=\begin{bmatrix}2&-4&1\\ \:5&-3&2\\ \:4&4&-5\end{bmatrix}\begin{bmatrix}3&2&-4\\ \:5&-5&-3\\ \:4&1&1\end{bmatrix}[/tex]

[tex]BA=\begin{bmatrix}2\cdot \:3+\left(-4\right)\cdot \:5+1\cdot \:4&2\cdot \:2+\left(-4\right)\left(-5\right)+1\cdot \:1&2\left(-4\right)+\left(-4\right)\left(-3\right)+1\cdot \:1\\ 5\cdot \:3+\left(-3\right)\cdot \:5+2\cdot \:4&5\cdot \:2+\left(-3\right)\left(-5\right)+2\cdot \:1&5\left(-4\right)+\left(-3\right)\left(-3\right)+2\cdot \:1\\ 4\cdot \:3+4\cdot \:5+\left(-5\right)\cdot \:4&4\cdot \:2+4\left(-5\right)+\left(-5\right)\cdot \:1&4\left(-4\right)+4\left(-3\right)+\left(-5\right)\cdot \:1\end{bmatrix}[/tex]

[tex]BA=\begin{bmatrix}-10&25&5\\ 8&27&-9\\ 12&-17&-33\end{bmatrix}[/tex]

Hence, option (d) is correct.

Which question can be represented by the equation 5/6 divided by 3/4?

Answer choices:

How many 5/6 scoop of ice-cream can fit into 3/4 pound container?

How many 3/4 pound hamburgers can be made with 5/6 pound of meat?

What is the difference between a 5/6 foot piece of ribbon and a 3/4 foot piece of ribbon?
CHOOSE ONE

Answers

Answer:

1/12

Step-by-step explanation:

A= anl, where
A = area
a = apothem
n = number of sides
1 = length of sides
If a regular polygon has an area of 180 cm2, an apothem of 6 cm and sides 12 cm in
length, how many sides does it have?

Answers

Answer:

5 sides

Step-by-step explanation:

Area=1/2aP

180=1/2(6)(12x)

3(12x)=180

36x=180

x=5

If the probability of turning left is 0.5 and the probability of
turning right is 0.5 for each mouse, what is the probability that ONLY ONE
of the two mice will turn left? *

Answers

Answer:

0.5

Step-by-step explanation:

The probability that the first mouse turns left and the second mouse turns right is 0.5 × 0.5 = 0.25.

The probability that the first mouse turns right and the second mouse turns left is 0.5 × 0.5 = 0.25.

So the probability that only one mouse turns left is:

P =  0.25 + 0.25

P = 0.5

Another way of looking at it: the probability that only one mouse turns left is 1 minus the probability that both turn left or both turn right.

P = 1 − (P(both left) + P(both right))

P = 1 − (0.5 × 0.5 + 0.5 × 0.5)

P = 0.5

PLZ HELP ME FIGURE THIS OUT

Answers

Answer:b=8

Step-by-step explanation:14-10=4 then you do 4(2)=8

8 = b

14=(b/2)+10
-10 -10

4=b/2
*2 *2

8 = b

Use 30-60-90 or 45-45-90 triangle relationships to find the missing variable

Answers

Answer:

Step-by-step explanation:

it is 30-60-90

triangle.

so smaller side is half the hypotenuse.

x=(10√3)/2=5√3

if hypotenuse=10√5,then x=10√5/2=5√5

Please help this is a different one!

Answers

Answer:

The first number line.

Step-by-step explanation:

In the first number line, both lines decrease, which is the same as the word problem says. Hope this helps!

Which shows all the critical points for the inequality ? , x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2

Answers

Answer:

The variable is the main part, it is the base of the whole thing

The variable is the main part, it is the base of the whole thing that shows all the critical points for the inequality ? , x = 1, and x = 2 x = –6 and x = 2 x = –4 and x = 2 x = 2.

How do you find the critical points of an inequality?

Solve a rational inequality.

Determine the critical points–the points where the rational expression will be zero or undefined. Use the critical points to divide the number line into intervals. Test a value in each interval. Above the number, the line shows the sign of each factor of the rational expression in each interval.

How do you find the critical points of a function?

To find the critical points of a function y = f(x), just find x-values where the derivative f'(x) = 0 and also the x-values where f'(x) is not defined. These would give the x-values of the critical points and substituting each of them in y = f(x) will give the y-values of the critical points.

Learn more about critical points for the inequality at

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the probability that rahul succeeds at any given free throw is 70%

Answers

Answer:

ok? wahts the question?

Step-by-step explanation:

Convert 5 kg into grams

Answers

Answer:

5000

Step-by-step explanation:

Function g can be thought of as a scaled version of f(x)=x^2.
Write the equation for g(x).

Answers

Answer:

5x to the 2nd power

Step-by-step explanation:

The equation of the newly translated graph is y = 5x².

What is an equation?

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The translated graph is represented by the equation y = 5x². The graph of the two equations is attached with the answer below.

Therefore, the equation of the newly translated graph is y = 5x².

To know more about graphs follow

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Hi how the day the beat ford to eat ?

Answers

Answer:

best food to eat is a mixture of non diary and diary like avocado toast

Step-by-step explanation:

plzz answer quick will give brainiest

Answers

Answer:

$13.58

Step-by-step explanation:

3% of $14 is 0.42.

You do 14 - 0.42

Hope this helps!

A Labrador Retriever weighs 48 pounds. A Huskie weighs 755 ounces. Which dog weighs more? By how many ounces more?

Answers

Answer:

Step-by-step explanation:

One pound is 16 ounces multiply that with 48. You’d get 768.

Subtract that with 755 and get 13 ounces.

Labrador Retriever weights more

A bowl contains a total of 26 blue and red marbles. There are two more red marbles than
blue marbles. How many blue marbles are in the bowl?
Which of the following let statements should you use?

Let x = the number of red marbles. Let x + 2 = the number

of blue marbles.
Let x = the number of blue marbles. Let 2x = the number of
red marbles.

Let x = the number of blue marbles. Let x + 2 = the number
of red marbles.

Answers

Answer:

There are 26 total marbles. We will call x the number of blue

marbles. So there are x+2 red marbles. If you add them together you

get x + x + 2....and all that equals 26 (subtract 2 from each side

Step-by-step explanation:

Hope this helps

Without drawing the graph of the function y=1.2x−7, see if the graph passes through points: (100; 113)

Answers

Answer:

The graph of the function passes through the point (100; 113).

Step-by-step explanation:

In order to calculate if the graph of the function passes through the point or not, we need to insert the point's coordinates in the function and check if the equation is valid or not, if it is, then the graph passes through them.

[tex]y(x) = 1.2*x - 7\\y(100) = 1.2*100 - 7\\y(100) = 120 - 7 \\y(100) = 113[/tex]

Which is equal to the "y" coordinate of the point, therefore the graph of the function passes through the point (100;113).

Answer:

yes

Step-by-step explanation:

compare 45 cm and 450mm BEST ANSWER GETS A FOLLOW AND MAYBE BRAINLESST​

Answers

Answer:

Step-by-step explanation:

10mm is 1cm

100mm is 10cm

200mm is 20cm

300mm is 30cm

400mm is 40cm

450mm is 45cm

So 45cm equals 450mm

Answer:

The answer is 45cm = 450mm.

Step-by-step explanation:

Given that 1cm = 10mm so for this question :

[tex]1cm = 10mm[/tex]

[tex]45cm = 10mm \times 45[/tex]

[tex]45cm = 450mm[/tex]

(-8x) . 3x^2 please help​

Answers

Answer: -24x^3
(the dot means multiplying right)

Answer:

-24x³

Step By Step:

(-8x) · 3x²

-8x · 3x²

-8 · 3x · x²

-24x · x²

-24x³

The Answer would be -24x³

Hope This helps

Give Brainliest if you please

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