1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AlexFokin [52]
3 years ago
8

In ATUV, t = 900 inches, u = 830 inches and v=590 inches. Find the measure of ZU

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

To the nearest degrees, this is 64 degrees

Step-by-step explanation:

In triangle TUV, we want to get the measure of angle U

Since we have 3 sides, we can use cosine rule to get the measure of the angle facing one of the sides

Mathematically, we have that as follows;

u^2 = t^2 + v^2 -2tv Cos U

830^2 = 900^2 + 590^2 - 2(900)(590) cos U

-469200= -1062000 cos U

cos U = 469,200/1062000

cos U = 0.44181

U = arc cos 0.44181

U = 63.78 degrees

To the nearest degree, this is 64 degrees

You might be interested in
A school needs 175 light bulbs.Bulbs come in packages of 15.How many packages should the school order?
kkurt [141]

Answer: 12 packages

Step-by-step explanation:

<em>Take 175 and divide it by 15</em>

<em>175/15</em>

<em>You will get 11.6</em>

<em>Since you are unable to order 11.6 packages you will need to order </em><em>12</em><em> packages to have enough lightbulbs.</em>

6 0
3 years ago
Read 2 more answers
Hey all, can I get the answer + explanation for this? Would be much appreciated.
marysya [2.9K]

Answer:

x = 120

Step-by-step explanation:

Let's draw an imaginary dot in the middle of that <u>line</u> which runs between those two parallel lines, and now lets look at it as an angle.

This lines' angle is 180 degrees. Now lets move those two parallel lines together on the imaginary dot in the middle.

We can see that on the left side is one degree and the other side is another, however when we put them together we get the angle measurement of the our line which we identified was 180.

Now that we can see that our two angles must equal 180 when put together we know and can say that:

40 + (x + 20) = 180

So, lets work this out like basic algebra now.

40 + x + 20 = 180

       x + 60 = 180

           - 60   - 60

               x = 120

And voila we have our x value.

Hope this helps :)

4 0
3 years ago
Graham graphs the following system of equations to determine its solution.
V125BC [204]

Answer: (2,2)

Step-by-step explanation:

I'm going to use substitution to solve this:

First, I use the second equation to solve for y in terms of x.

2x - y = 2

-y = 2 - 2x

y = 2x - 2

Then, I plug the value for y into the first equation:

2x + 4y = 12

2x + 4(2x - 2) = 12

2x + 8x - 8 = 12

10x - 8 = 12

10x = 20

x = 2

Now that we have x, we can plug it into either equation (I used the first) to get the value for y:

2x + 4y = 12

2(2) + 4y = 12

4 + 4y = 12

4y = 8

y = 2

We get the point (2,2) as a solution.

Note: This is the point where both lines intersect.

3 0
3 years ago
the sales tax for an item was $30.10 and it cost $430 before tax. find the sale tax rate. write your answer as a percentage.
timurjin [86]
To find a percentage of a number, multiply by the decimal form of that percentage(20%=0.20). So, take the cost, $430, and multiply by common state sales tax (7% for me)---430 x 0.07 = 30.10  The sale tax rate is 7%.
4 0
3 years ago
Read what on the image then answer
Vilka [71]

Fraction 10/12 would be greater than 3/4

5 0
2 years ago
Other questions:
  • Find the value of x such that sin (90-x) = cos 50
    8·2 answers
  • Three support beams form a pair of complementary angles (x+3 (2x-3). Find the measure of each angle.
    15·1 answer
  • If 3x + 13 = 19, find the value of 2x + 1. 2x + 1 =​
    10·2 answers
  • Cuales son los divisores comunes de 3,9y12
    10·1 answer
  • Solve the equation for A
    12·1 answer
  • Ana wants the mean of her test scores to be a least 85
    12·2 answers
  • Can someone help me.
    8·1 answer
  • What fraction is equivalent to 0.997
    11·1 answer
  • Change 8.94 into a fraction
    11·2 answers
  • The area of the triangle below is 4.5 square inches. What is the length of the base?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!