In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Answers

Answer 1

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.


Related Questions

Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 day period it is not
used
aWrite and solve an equation for the number of 30-day periods until the value of the gift cards will be equal
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30 day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation.)

Answers

Answer:

(a). 20 ; (b). $10.00 ;

Step-by-step explanation:

(a). 70 - 3x = 80 - 3.50x

- 3x + 3.50x = 80 - 70

0.5x = 10

x = 10 ÷ 0.5

x = 20 ( 30-day periods )

(b). $70.00 - $3.00(20) = $10.00

The number of days will be 20 days. Then the values of the gift cards will be equal and will be $10.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Tavon has a gift card for $80 that loses $3.50 for each 30-day period it is not used. He has another gift card for $70 that loses $3 for each 30 days period it is not used.

Let y be the amount left of gift cards after x days and x be the number of days. Then the equation will be

y = 80 - 3.5x          ...1

y = 70 - 3x             ...2

From equations 1 and 2, we have

80 - 3.5x = 70 - 3x

0.5x = 10

x = 10 / 0.5

x = 20 days

The values of the gift cards will be equal and will be

y = 80 - 3.5(20)

y = 80 - 70

y = $10

The values of the gift cards will be equal and will be $10.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

help me please, brainliested ;)

Answers

Answer:

3/2 the slope is the rate of change

Step-by-step explanation:

The area of a parallelogram is 16 cm. One side Height is 4 cm. What is the length? options are:- 5 cm none of these 4cm 8cm

Answers

Answer: 4cm

Step-by-step explanation:

The area of a parallelogram is calculated by multiplying the height by the length:

Area = Height * length

Assume the length is x, substituting values would make the formula:

16 = 4 * x

4x = 16

x = 16/4

x = 4 cm

Rewrite using a single positive exponent

Answers

Step-by-step explanation:

[tex] \frac{ {7}^{4} }{7} = {7}^{4 - 1} = {7}^{3} [/tex]

plz help i really need it

n/5 - 3 = -6
A) -20
B) -2
C) 15
D) -15

Answers

The answer is D)!

Hope this helps :)

Answer:

D

Step-by-step explanation:

n/5 = -3

n = -3 x 5

n = -15

A recipe calls for 1\frac{1}{2}1 1 2 cups of sugar for every 2 eggs. Find the rate of cups of sugar per egg called for by the recipe.

Answers

Iwiwiwiwiwiwiwiiwiwkwiwkwiwkiwwjiw

bonjour je dois rendre un travail niveau bac pour ce lundi 8mars pouvez vous maider car jai enormement de difficultes en maths...
merci !

Answers

Lol what?????? The comments doee

Solve for X. Please help ASAP. I have no idea how to do this and it’s due really soon!!

Answers

Answer:

x=4

Step-by-step explanation:

14=3x+2

Move all terms that don't contain  x to the right side and solve.

What is the size of ABC?

Answers

Add them up and you have your answer

Cody rented a bike from John's Bikes. It
cost $16 plus $4 per hour. If Cody paid
$24, then he rented the bike for how many
hours?

Answers

It would be two hours. This is because 24-16=8 and 8 divided by 4 is 2. Hope this helps

Someone help me please

Answers

11, 60, and 62 cuz the internet told me :)

Answer:

{11,60,62} could not represent the sides of a right triangle

find the measure of all of the angles on the diagram​

Answers

Answer:

1. 135

2. 45

3. 45

4. 135

5. 135.

6. 45

7. 45

8. 135

Step-by-step explanation:

1: 135
2: 45
3: 45
4: 135
5: 135
6: 45
7: 45
8: 135

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=39°, and FD = 9.8 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

14.2 ft

Step-by-step explanation:

Is square root of 36 plus 3 a rational or irrational number?

Your answer:

Rational because the square root of 36 is a whole number, and all whole numbers are rational


Rational because the square root of 36 equals 6, 6+3=9, and 9 is a terminating decimal


Irrational because there is a square root symbol in the expression


Irrational because adding a whole number with a square root is impossible

Answers

Answer:

The answer is D

Step-by-step explanation:

D

Solve the system of equations:

[tex]y = 2x[/tex]
[tex]x + y = 9[/tex]
1. (6, 3)
2. (-3, -6)
3. no solution
4. (3, 6)​

Answers

Answer:

[tex]x + y = 9 \\ x + 2x = 9 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3[/tex]

The answer is y= 3 (:

{[3 + 2 - (9 - 7) + (3 + 4)]

Answers

Answer:

7

youd do 9-7= 2

3+4= 7

3+2-2+7 is your equation now and you can do this left to right like normal

5-2+7

3+7

Answer:

10

Step-by-step explanation:

The order of operations is applicable in a multip-operations equation. This theorem states the order in which one must do operations in order to get a valid result. Remember the order of operations states;

1) Parenthesis

2) Exponents

3) Multiplication or Division

4) Addition or Subtraction

Solve this equation, keeping the order of operations in mind;

{ [ 3 + 2 - ( 9 - 7 ) + ( 3 + 4 ) ] }

{ [ 3 + 2 - ( 2 ) + ( 7 ) ] }

{ [ 3 + 2 - 2 + 7 ] }

{ [ 5 - 2 + 7 ] }

{ [ 3 + 7 ] }

{ [ 10 ] }

10

URGENT PLEASE !!! answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

B is (-2,-4)

Step-by-step explanation:

What is an equation of the line that passes through (-2,3) and (6,-1) ?

Answers

Answer:

2,7

Step-by-step explanation:

14 NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

the answer is 110 just add the different number together in this case... 30 + 80 = 110

Step-by-step explanation:

Answer:

The answer  is 110 just add the different number together in this case... 30 + 80 = 110 it so easy

Step-by-step explanation:

Malik wanted to give 1/5 of his bag of balloons to each of 3 of his friends. How many of his balloons will he give away?

Answers

Answer:

Eh cafe donete mal reo jama kolotake? 24 eh moi -09....? kelare mei osaje.

car`e 3,000 = 2458.0? maro et

Step-by-step explanation:

1/15 because 1/5 divided by 3 = 1/15

Lea is making a mosaic picture that is 3/4 foot tall and 11/12 foot wide what is the area of her mosaic

Answers

Answer:

First, 3x11 equals 33. Then 4x12 equals 48, so the area would be 4/12

Step-by-step explanation:

I wanna know how to solve
the equation ​

Answers

Answer:

-72=r

Step-by-step explanation:

PLZ help! I will give brainlest to fist correct answer!
on a piece of paper graph y ≤ -2x . then determine which answer choice matches the graph you drew. Which of the following is correct?.

Answers

Answer:

The correct answer is D

Step-by-step explanation:

The  graph of inequality y ≤ -2x is option D .

What is inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

According to the question

y ≤ -2x  

The graph of inequality  

at x = -2

y≤ 4

at x = 3

y ≤ -2*3

y ≤ -6  

Hence, the  graph of inequality y ≤ -2x is option D .

To know more about inequality here:

https://brainly.com/question/20383699

#SPJ3

what is the answer to
(6x10x^{-5})x(8x10x^{7} )
written in standard form?

Answers

Answer:

standard form is 48x^23

Hi, can someone help me with my math homework? I just need help with B.

Answers

Answer:

8

Step-by-step explanation:

Answer:    8 sections

========================================================

Explanation:

Let's convert the mixed number 5 & 1/3 to an improper fraction.

The formula to use is

a & b/c = (a*c + b)/c

So,

a & b/c = (a*c + b)/c

5 & 1/3 = (5*3 + 1)/3

5 & 1/3 = 16/3

Imagine you had 16 pieces of candy, and imagine you wanted to divide that up amongst 3 friends. Each friend would get 15/3 = 5 whole pieces. There would be 1 candy left over. The 5 and 1 help then form the 5 & 1/3. So this is one way to visualize how 5 & 1/3 is the same as 16/3.

Another way to see why this works is to note how 16/3 = 5.333 approximately. The '5' before the decimal point is the whole part of the mixed number 5 & 1/3; the decimal portion 0.333 is the approximate value of the fractional part 1/3.

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

The total length of fencing needed is 16/3 yards. Each section is 2/3 of a yard long. Since both denominators are "thirds", we can ignore them. An equivalent problem is this: "He needs 16 yards of fencing and each section is 2 yards long"

Based on the new problem without fractions involved, we can see that he'll need 16/2 = 8 sections in total.

You should find that dividing (16/3) over (2/3) will lead to 8 as well. You could say this:

(16/3) divide (2/3) = (16/3)*(3/2) = (16*3)/(3*2) = 48/6 = 8

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

An alternative method:

Let's start with 2/3 of a yard. That doubles to 4/3 which is the same as 1 & 1/3. Think of it as 4/3 = (3+1)/3 = 3/3+1/3 = 1+1/3 = 1 & 1/3.

Next, we'll double 1 & 1/3 to land on 2 & 2/3. You simply multiply each '1' by 2 to end up with those '2's shown.

Now we'll double 2 & 2/3 like so:

2*(2 & 2/3) = 2*(2 + 2/3) = 4 + 4/3 = 4 + (1+1/3) = 5 + 1/3 = 5 & 1/3

The act of doubling exactly three times leads to us ultimately multiplying by 2*2*2 = 8, so he needs 8 sections that are each 2/3 of a yard long.

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

Whichever method you prefer, the final answer is 8 sections.

What is the answer 30 points to who ever finishes.

Answers

Answer:

the answer to what?

Step-by-step explanation:

theres no file attached, i think u forgot...

Peter makes strawberry shakes for 6 people. He needs 15 strawberries for this. He has 4/5 of the strawberries. How many more strawberries does he need?

Answers

Answer: 3 strawberries

Explanation: 15/5 = 3

3*4=12

15-12=3

Help please! look at the screenshot below.

Answers

Answer:

1.7

Step-by-step explanation:

Answer:

P=1.7

Step-by-step explanation:

Subtract 0.6 on both sides to get p alone. Therefore 2.3-0.6=1.7.

20 POINTS ANSWER FAST

If two fractions are proportional, then the cross products are equal.

true or false?

Answers

Answer

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

u cannot cross multiply when ur adding

write 4729 correct to the nearest hundred

Answers

Answer:

4700

Step-by-step explanation:

4729 - 7 is in place of the hundreds, so cut off the rest and make sure, if needed, to round

Answer:

4700

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above.

round the number down to the nearest hundred if the last two digits in the number are 49 or below.

Other Questions
hello help please ill mark brainliest!!! During a pie eating contest, a person ate 12 pies in 60 minutes. How many pies did the person eat per minute? Group of answer choices (blank) is able to enter the Career's pyramid of supplies and steal from them without getting caught. This is for the hunger games URGENT !!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!! Help I have to the 7th grade even do I am in 6th what is Schwartzchild radius??no copied answers plz The heights of the mountains in a mountain range are less than 20,000 feet. Write an inequality to represent the heights of the mountains, h, in this mountain range. What type of triangle is 5, 2, 4? please help due in one hour Taryn collected data for the rain collected over a number of days in various cities. Which of the data sets represents a scatterplot with a line of best fit that BEST displays a relationship where, as the number ofdays increases, the amount of rain collected remains constant?A. (5, 1), (2,7), (3, 6), (4,4), (1,8), (6, 0)B.. (1,6), (5, 6), (3,5), (4, 5), (6,5)C. (3, 1), (5, 5), (1, 6), (6, 2), (2, 7)D. (2,3), (6,8), (5, 8), (1, 1), (3,5),(4, 6) Assuming beginning work in process is zero, the equivalent units of production computed using fifo versus weighted average will have the following relationship: 1. FIFO equivalent units will be greater than weighted-average equivalent units. 2. FIFO equivalent units will be less than weighted-average equivalent units. 3. Weighted-average equivalent units are always greater than fifo equivalent units. 4. Weighted-average equivalent units will be equal to fifo equivalent units. Find the value of x. Round to the nearest degree. Explain the authors purpose for writing The Young Clerks Manual (1848) How did some Native Americans avoid reservations? They joined the U.S. Army. They fled to Mississippi. They escaped to Canada. They left for South Dakota. someone help please! The laissez-faire economic policies of the United States during the nineteenth centuryled to -F. a system of protective tariffsG. the creation of a national bankH. a largely unregulated market for industryJ. a decline in immigration to western states What is the equation of the line that passes through the following two points (5, 7) and (-2, 7)? -8c - 6 less than or equal to 10 Which of the major tectonic plates is composed mainly of oceanic lithosphere? Why does the first row in our periodic tableonly have two elements?A) because each orbital in every sub-level only holdstwo electronsB) because Bohr only knew about two elementsC) because the first energy level only holds twoelectrons total Help me plssss