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

The ordered pairs (x, y) define the relation Q.
{(4, 5), (-3,2), (5,5), (, - 3)}
Is Q a function?

Answers

Answer:

A

Step-by-step explanation:

Yes, because there is exactly one x-value for every y-value.

guys who wanna tell me what 2+2 is

Answers

4? i’m not sure tho!!

Answer:

we ALL know that its 22!    ヾ(≧▽≦*)o

lol

There is 5 yellow 3 red 4 green 2 blue and 2 white what is the probability of picking white then green

Answers

Answer:

2 (I think)

Step-by-step explanation:

4-2=2

Answer:

1/30

Step-by-step explanation:

the probability of picking white is 2/16 simplified to 1/8

the probability of picking a green would equal to 4/15

notice that it is not 4/16, because you already picked out one of the colours, and you are not replacing it, so if you take it out, then there is 15 left to pick from.

you would then multiply

1/8 x 4/15

= 4/120

simplified to

1/30

Factor the GCF.
1) - 15x^5 + 24x^3+ 27x^2

Answers

Answer:

3x^2 if thats what you needed

Step-by-step explanation:

Will give Brainliest

Answers

Answer:

c

Step-by-step explanation:

its literally just 4 - 2

C, it’s 4-2. Hope this helped even though someone answered allready :)

0.96 x 4.5 = 4.32 show the formula in doing it​

Answers

0.96•4.5 = 4.32
X=1
0.96x•4.5• 100= 4.32• 100
^ multiply both sides by 100
Refine, 432x = 432
Then divide both by 432
X=1

I need help with number 2

Answers

Answer: Area= 10

Step-by-step explanation:

The length is 2 the width is 5 2x5 equals 10 :D

Answer:

If its in inches, than the area is 10.

Step-by-step explanation:


Jessica and Jeffrey worked together to collect Pokémon cards for a neighborhood yard sale. Jessica collected 215 cards from her family and friends.
Jeffrey collected 154 cards. During the yard sale, they sold 55 of the cards for $20. After the yard sale, they decided to share their cards, how many cards
would each person receive?

Answers

Answer:

Step-by-step explanation:

215+154-55=314

314÷2=157

I dont even know like what the mmm

Answers

Answer:

19.1

Step-by-step explanation:

27 is half of 54, so that means that the second triangle is 1/2 the size of the first, meaning all sides need to be divided by 2 in order to get the answers for each side

x=27×38.2 / 27

x= 19.1

I hope that helps

You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours?

DO TODAY PLZ HELP

Answers

Answer:

Your friend completes 1 level in 9 hours

Answer: 1 level in 9 hours 45/5 is 9 so it takes 9 hours to finish a level that means he can only do one level in 9 hours

Step-by-step explanation:

Jacob did the following calculations, please explain the error if any. (2-3i)2 = (2-3i)(2-3i) = 4-6i-6i+9i2 = 9i2-12i+4

Answers

There is no error, Jacob expand the equation correctly but can go a step further knowing that i^2=-1 so they would have 4-12i+9(-1)=4-12i-9=-5-12i

What is the next term in the sequence

6,8,12,18

Answers

Answer:

27

Step-by-step explanation:

Pls help. Angle FGH is a straight angle .
The measure of angle FGJ is 145.
The measure of angle JGH is x.
What is the value of x.

Answers

Answer:

X is 35

Step-by-step explanation:

Since it’s a straight angle, the total measurement is 180 degrees. So if one angle is 145 then you subtract that from 180 and you will get 35 degrees.

the measurement of angle JGH is 35°

solve for angle x and the length of line segments AO and BO

Answers

64 degrees? I think..

Answer:

Angle X is 140°.

All four angles = 360, so 90+90+40=220 and 360-220=140

(Still finding length)

Could someone please help me with this question due in 3 minutes (ASAP)

Answers

Answer:

Area of a rectangulor pentagon =(1/2)(apothem)(perimeter)

apothem=6.5cm

perimeter=6.5

Step-by-step explanation:

12, 21, 30 and 39 are the first four terms in a sequence

Write an expression for the nth term of this sequence

Answers

Answer:

12, 21, 30, 39, 48, 57, 66, 75, 84.  

Ninth term is 84.

Step-by-step explanation:

The rule for this sequence is "add 9".

So, using this rule, we can do......

12, 21, 30, 39, 48, 57, 66, 75, 84.

Remember to add 9 each time!

Best of luck :3

x = 2y − 4

7x + 5y = −66

Answers

Answer:

Step-by-step explanation

Substitute 2y-1 for x in the second equation:

7x + 5y = -66

7(2y-4) + 5y = -66

then solve for y:

14y - 28 + 5y = -66

19y = -38

y = -2

Substitute -2 for y in the first equation:

x  = 2y - 4

x = 2(-2) - 4

x = -8

The lines intersect at (-8,-2)

how do i solve this question 2+3=8-4 ?

Answers

Answer:

5=4

Step-by-step explanation:

5=4

just add then subtract

if the length is 10 ft the width is 4 feet and the height is 8 feet what is the surface area​

Answers

if you're solving for the surface area of a rectangular prism then it's 304 :D

Plz Help me!!!
will mark brainliest!!

Answers

Answer:

3x² * (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

2x * (9x³ + 6x² - 12x) = 18x⁴ + 12x³ - 24x²

* (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

6x² * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Step-by-step explanatation:

Let's set unknown variables as y (and y₁, y₂, etc)

Question 1:

y *  (6x² + 4x - 8) = 18x⁴ + 12x³ - 24x²

So, divide both sides by (6x² + 4x - 8)

y = 3x²

Question 2:

2x * (9x^y₁ + y₂*x^y₃ - y₄*x) = 18x⁴ + 12x³ - 24x² '

Divide both sides by 2x.

(9x^y₁ + y₂*x^y₃ - y₄*x) = 9x³ + 6x² -12x

y₁ = 3, y₂ = 6, y₃ = 2, y₄ = 12

Question 3:

x^y * (18x² + 12x - 24) = 18x⁴ + 12x³ - 24x²

Divide both sides by (18x² + 12x - 24)

x^y =

Question 4:

y₁  * x^y₂ * (3x² + 2x - 4) = 18x⁴ + 12x³ - 24x²

Divide both sides by (3x² + 2x - 4)

y₁  * x^y₂ = 6x²

y₁ = 6, y₂ = 2

I hope this helps! Feel free to ask any questions!

You drank 12 ounces of your 16 ounce Dutch Bros. What percent is LEFT?

Answers

Answer:

25% is left

Step-by-step explanation:

12oz is how much is consumed and 16-12+4 so 4oz remain and to convert that to a percent you do 4 divided by 16 which is 0.25 and to get the present age you multiple 0.25 by 100 to get 25% left

The percentage of Dutch Bros left is 25%.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, You drank 12 ounces of your 16 ounce Dutch Bros.

Here, percentage left = Difference in ounce of Dutch Bros/Total quantity of Dutch Bros ×100

= (16-12)/16 ×100

= 4/16 ×100

= 25%

Therefore, the percentage of Dutch Bros left is 25%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

What is the value of x?


degrees

Answers

Answer:

x = 48 degrees

Step-by-step explanation:

Every triangle has an interior angle of 180 degrees

to find x, take the known angles and add them together:

47 + 85 = 132

now take the sum and subtract it from 180;

180 - 132 = 48

x = 48 degrees


A stack of 5 pennies weighs 0.0075 kilograms. One kilogram is approximately 2.2 pounds.
How many pounds, rounded to the nearest hundredth, does a stack of 100 pennies weigh?

Answers

Answer:

20 stacks of 5 pennies weight 0.33 pounds

Step-by-step explanation:

First, we need to calculate the weight in kilograms of 20 stacks of 5 pennies:

20 stacks= 0.0075*20

20 stacks= 0.15 kg

Now, we can determine the weight in pounds:

1kg = 2.2 pounds

0.15kg = ?

Weight in pounds= (0.15*2.2)/1

Weight in pounds= 0.33 pounds

20 stacks of 5 pennies weight 0.33 pounds

area is the amount of .......a figure covers ?​

Answers

Answer:

surface

Step-by-step explanation:

Answer: Area for a 2D image is the space it covers.

Step-by-step explanation:

If you have an empty square and you shade it in, what you are shading is its area. You can find area of a square or rectangle by multiplying its length by its width. For more complicated shapes there are formulas you can use.

The circumference of a steering wheel is 19.8in. What is the radius
A. 3.2
B. 1.3
Please!!!! Help!!!! this a important test
I will mark you brainliest
If i get the correct answer Please!!!!

Answers

Answer:

A. 3.2

Step-by-step explanation:

Given

Circumference (c) = 19.8 in

Radius (r) = ?

We know

2πr = c

2 * 3.14 * r = 19.8

6.28 r = 19.8

r = 19.8 / 6.28

r = 3.2 in

Hope it helps :)❤

A. 3.2 is the answer to the question

Alex needs to fill up his fish tank with water. If the tank is 8 wide,9 long and 12 tall, how much water is required to fill the tank ?

Answers

Answer:

864 gallons, or whatever measurement, of water are required.

Step-by-step explanation:

You just have to find the volume of the fish tank, which is length x width x height. So, 8 x 9 x 12 which equals 864.

864 because 8x9=72 and 72x12= 864

James and Sarah went out to lunch. The price of lunch for both of them was $40. They tipped their server
10% of that amount.
How much did each person pay If they shared the price of lunch and the tip equally?
Each person pald

Answers

Answer:

20%

Step-by-step explanation:

What goes on the green box ?

Answers

Answer:

5^9 / 5^3 = 5^6

the answer is 6

Step-by-step explanation:

2+7+12+17+22+27 sigma notation

Answers

Answer:

87  ?

Step-by-step explanation:

It will be 87 for sureeeeeeee

PLEASE HELP ME!!!
Greg said that he wrote a fraction greater than 3/12, is less than 75/100, and has 6 as a denominator. What is his fraction?

Answers

Given:

A fraction is greater than [tex]\dfrac{3}{12}[/tex], is less than [tex]\dfrac{75}{100}[/tex].

The fraction has 6 as a denominator.

To find:

The fraction value.

Solution:

Let x be the required fraction.

According to the given information, we get

[tex]\dfrac{3}{12}<x<\dfrac{75}{100}[/tex]

[tex]\dfrac{1}{4}<x<\dfrac{3}{4}[/tex]

We know that, [tex]\dfrac{1}{4}<\dfrac{2}{4}<\dfrac{3}{4}[/tex]. So,

[tex]x=\dfrac{2}{4}[/tex]

[tex]x=\dfrac{1}{2}[/tex]

We need 6 as the denominator.

Multiply the numerator and denominator by 3.

[tex]x=\dfrac{1\times 3}{2\times 3}[/tex]

[tex]x=\dfrac{3}{6}[/tex]

Therefore, the required fraction is [tex]\dfrac{3}{6}[/tex].

The fraction that Greg wrote is 3/6.

What is a fraction?

A fraction is a quantity that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.

What fraction did Greg write?

The first step is to express 3/12 and 75/100 in its simplest form.

3/12 = 1/4

75/100 = 3/4

The second step is to determine the difference between the fractions

3/4 - 1/4

[tex]\frac{3 - 1}{4}[/tex] = [tex]\frac{2}{4} = \frac{1}{2}[/tex]

The third step is to multiply by 3

3/6

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

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