In ΔTUV, u = 330 inches, t = 800 inches and ∠T=53°. Find all possible values of ∠U, to the nearest degree.

Answer:

20

Step-by-step explanation:

28 + 8 = 36

36 - 13 = 23

23 - 3 = 20

Answer:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

Step-by-step explanation:

[tex]\textsf{Trig identity}: \quad \tan A=\dfrac{\sin A}{\cos A}[/tex]

[tex]\begin{aligned}\implies (\sin A)(\cos A)(\tan A)& =(\sin A)(\cos A)\dfrac{(\sin A)}{(\cos A)}\\\\& =\dfrac{(\sin A)(\cos A)(\sin A)}{(\cos A)}\\\\& =\sin^2 A\\\end{aligned}[/tex]

[tex]\begin{aligned}\textsf{Trig identity}: \quad \sin^2 A + \cos^2 A &=1\\\implies \sin^2 A & =1-\cos^2 A\end{aligned}[/tex]

[tex]\implies (\sin A)(\cos A)(\tan A)=1-\cos^2 A[/tex]

If [tex]\cos A=k[/tex] then:

[tex](\sin A)(\cos A)(\tan A)=1-k^2[/tex]

The value of the expression (sin A)(cos A)(tan A) is equivalent to[tex]1 - k^2[/tex], which corresponds to option 4). k².

Let's use the trigonometric identity: tan A = (sin A) / (cos A).

Given cos A = k, we can find sin A using the Pythagorean trigonometric identity:[tex]sin^2 A + cos^2 A = 1.[/tex]

[tex]sin^2 A + k^2 = 1[/tex]

[tex]sin^2 A = 1 - k^2[/tex]

sin A = √(1 - [tex]k^2[/tex])

Now, the expression (sin A)(cos A)(tan A) is:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(k)((√(1 -[tex]k^2[/tex]))/k)

Now, we can cancel out the common terms:

(sin A)(cos A)(tan A) = (√(1 - [tex]k^2[/tex]))(√(1 - [tex]k^2[/tex]))

Taking the square root of the product:

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex])(1 - [tex]k^2[/tex]))

(sin A)(cos A)(tan A) = √((1 -[tex]k^2[/tex][tex])^2[/tex]

(sin A)(cos A)(tan A) = [tex]1 - k^2[/tex]

So, the value of the expression (sin A)(cos A)(tan A) is equivalent to [tex]1 - k^2[/tex], which corresponds to option 4). k².

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Answer:

The police caught the bank robbers(passive)

Answer:

1. it's False because the radian measure of an angle is the length..

Transcribed image text: h of the following statements as true or false. replace lace the underlined word(s) or expression to produce a true statement. The radian measure of an angle equals the length of the arc it intercepts.on the Any degree measure can be converted to radians 180 by by _. To construct the inverse of a trigonometric function, the function must be restricted to a domain on which the function is either always increasing or The length of an arc intercepted by an angle is proportional to the radius; therefore, a central angle of - in a circle with radius k will intercept an an with length kt A triangle with side lengths 7, 11.and 14 has an area of 120-21 Area : Jlo (16-706-Ingen llo

Step-by-step explanation:

Thanks don't forget to follow me brainly

Answer:

150 tablets.

Step-by-step explanation:

20% of 500 is 100, so there was 100 desktop computers. Than, half of the devices were laptop computers, being 250. Than you add 100 and 250 to get 350. Than subtract 350 from 500 and you get 150.

Answer:

K=4

Y=16

X=4

Step-by-step explanation:

[tex]y = kx {}^{2} \\ finding \: k \: when \: y= 36 \: and \: x = 3 \\ 36 = k(3) {}^{2} \\ 36 = 9k \\ dividing \: through \: by \: 9 \\ \frac{36}{9} = \frac{9k}{9} \\ 4 = k \\ k = 4 \\ findnig \: y \: when \: x = 2 \\ y = 4(2) {}^{2} \\ y = 4 \times 4 = 16 \\ finding \: x \: when \: y = 64 \\ 64 = 4 \times x \\ 64 = 4x \\ dividing \: through \: by \: 4 \\ \frac{64}{4} = \frac{4x {}^{2} }{4} \\ 16 = x {}^{2} \\ square \: root \: bothsides \\ \sqrt{16} = x {}^{2} \\ 4 = x \\ x = 4[/tex]

Answer:

It is a good idea to convert the times into internation time

thus, 5:08 becomes 17 08

Substraction:

17 08 - 10 15

= 16 68 - 10 15 ( I took one hour from 17 and added 60 minutes to 08)

= 6 53

he worked 6 hr 53 mins

Answer:

1) 2

2) 4

3) 3

4) 1

Step-by-step explanation:

8/4 is 2

8/2 is 4

3/1 is pretty simply 3

And lastly (and kind of least)...

3/3 is 1

Hope this helped you out!

The image of the quadrilateral after the translation is added as an attachment

The given parameter represents the quadrilateral ABCD on the graph.

On this graph, we have the coordinates of ABCD to be:

A = (2, -3)

B = (-1, 3)

C = (-1, -3)

D = (-4, -4)

The translation is given as

2 units to the left and 3 units up.

Mathematically, this can be represented as

(x, y) = (x - 2, y + 3)

So, we have

A' = (0, 0)

B = (-3, 6)

C = (-3, 0)

D = (-6, -1)

Next, we plot the above coordinates on the graph (See attachment)

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Answer:

look at the photo

Step-by-step explanation:

it just is

Answer:

P(S ∪ T) = 3/4

Step-by-step explanation:

Given:

For mutually exclusive events S and T,

P(S ∪ T) = P(S) + P(T)

Therefore,

P(S ∪ T) = (5/8) + (1/8)

              = 6/8

              = 3/4

Answer:

4 > 32

Step-by-step explanation:

The variable x represents how much each of Darren's burgers will weigh. Since he will form 4 burgers of equal weight, the expression 4x represents the total weight of the burgers.

And, since Darren will use more than 32 ounces of burger mix, 4x must be greater than 32.

This inequality shows the relationship.

4x > 32

Now, solve for x.

4x > 32

4x/4 32/4

divide 32 by 4

So the answer is x > 8

Using the t-distribution, it is found that the proportion in a t-distribution less than −1.4 if the samples have sizes n1=30 and n2=40 is of 0.083.

The proportion is found using a calculator, with three inputs:

In this problem, we have a left-tailed proportion, as we want the proportion that is less than a value, with test statistic t = -1.4 and 30 + 40 - 2 = 68 df, hence the proportion is of 0.083.

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Answer:

The answer to each one is 1) 63,100,000,000

2) 2,000,000,000

3) 5,700,000,000

Answer:

66.67%

If it wrong! IM SO SORRY:(

Using the given exponential function, it is found that the number of sales in 2001 was of 327,300.

It models the number of sales S in t years after 2001, given by:

[tex]S(t) = 372300\left(\frac{6}{5}\right)^t[/tex]

2001 is year 0, hence the amount is given by S(0), that is:

[tex]S(0) = 372300\left(\frac{6}{5}\right)^0 = 372300[/tex]

The number of sales in 2001 was of 327,300.

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Answer:

62.8 inches

.Step-by-step explanation:

The wire consists of 14 semicircle + 4 3/4 circles. The diameter of each circle = 8 / 4 = 2 inches.Length of a semicircle = 1/2 * pi * diameter and of a 3/4 circle it is 3/4 * pi * diameter.So the perimeter of the wire= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2= 14 * 3.14 + 4 * 3/2 * 3.14= 62.8  inches.

Answer:

62.8 inches

Step-by-step explanation:

= 14 * 1/2 * 3.14 * 2 + 4 * 3/4 * 3.14 * 2

= 14 * 3.14 + 4 * 3/2 * 3.14

= 62.8  inches.

Step-by-step explanation:

44 ft in 3 seconds

in 1 hour there are 60 minutes with 60 seconds each.

so, 1 hour = 60×60 = 3600 seconds.

in 3600 seconds there are

3600 / 3 = 1200 "packages" of 3 seconds.

so, Jerry would run

1200 × 44 = 52800 ft in 1 hour.

there are 5280 ft in 1 mile.

that means Jerry would run

52800 / 5280 = 10 miles in 1 hour.

Recall the double angle identity for cosine:

[tex]\cos(2x) = \cos^2(x) - \sin^2(x) = 1 - 2 \sin^2(x)[/tex]

It follows that

[tex]\sin^2(x) = \dfrac{1 - \cos(2x)}2 \implies \sin(x) = \pm \sqrt{\dfrac{1-\cos(2x)}2} \implies \csc(x) = \pm \sqrt{\dfrac2{1-\cos(2x)}}[/tex]

Since 0° < 22° < 90°, we know that sin(22°) must be positive, so csc(22°) is also positive. Let x = 22°; then the closest answer would be C,

[tex]\csc(22^\circ) = \sqrt{\dfrac2{1-\cos(44^\circ)}} = \sqrt{\dfrac2{1-\frac5{13}}} = \dfrac{\sqrt{13}}2[/tex]

but the problem is that none of these claims are true; cot(32°) ≠ 4/3, cos(44°) ≠ 5/13, and csc(22°) ≠ √13/2...

Answer:

its easy

Step-by-step explanation:

Answer:

[tex](x-5)^2+(y-1)^2=20[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

(where (a, b) is the center and r is the radius)

Given:

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

[tex]\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2[/tex]

[tex]\implies (x-5)^2+(y-1)^2=20[/tex]

Answer:

141.37 ft^3

Step-by-step explanation:

No question was asked, but based off of the given information, I will assume you want to know the volume of the circular cylinder.

The volume of a circular cylinder is: v=(π)(r^2)(h)

r=3

h=5

v=(π)(3^2)(5)

v = 141.37

Find vertex

So

The graph shifted 3 units right.

So new translation

Find y intercept

But it's at (0,1) approximately

So compression factor

Now last equation

Find value

So compression factor

So accurate equation is

Answer:

[tex]g(x)=\dfrac{2}{7}|x-3|[/tex]

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

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

Parent function:   [tex]f(x)=|x|[/tex]

The vertex of the parent function is at (0, 0) as  [tex]f(0)=|0|=0[/tex]

From inspection of the graph, the vertex of the transformed function is at (3, 0).  Therefore, there has been a translation of 3 units right:  

[tex]\implies g(x)=f(x-3)=|x-3|[/tex]

(There has not been any vertical translation since the y-value of the vertex of the parent function and the translated function is the same)

From inspection of the graph, we can see that it has been stretched parallel to the y-axis:

[tex]\implies g(x)=a\:f(x-3)=a|x-3|[/tex]

The line goes through points (10, 2) and (-4, 2).

Substituting one of these points to find a:

[tex]\implies a|10-3|=2[/tex]

[tex]\implies 7a=2[/tex]

[tex]\implies a=\dfrac{2}{7}[/tex]

Therefore,

[tex]g(x)=\dfrac{2}{7}|x-3|[/tex]

Answer:

-3

Step-by-step explanation:

First, let's remind ourselves the definition of a slope.

Slope = rise/run OR the height from one point to another/ the distance from one point to another.

First, let's find two points on this graph that are marked easily.

One point that can be found is (0, -3) and the other is (0, -1).

Let's apply our formula to these points!

<------- Starting from point (0, -3), we are RISING 3 points and RUNNING -1 points.

Rise         3

-------  =  ----------  

Run           -1

3/-1 = -3

The slope of the line is -3.

Answer:

-3.

Step-by-step explanation:

1) to choose two points on the given line on the graph. For example, A(-2;3) and B(-1;0);

2) to calculate the required slope according to the rule:

[tex]slope=\frac{Y_B-Y_A}{X_B-X_A};[/tex]

3) the required slope:

slope=-3/1=-3.

Answer:

B.

Step-by-step explanation: The answer is b because 65.04 is the answer we get from finding the difference of those irregular triangles and the circle.

P.S. They must be done seperately.

Answer:

x < - 4

Step-by-step explanation:

Draw a number line and find -4 then graph it

Answer:

answers are in the attached file!

Step-by-step explanation:

these are super simple to solve if you break it down! in order to turn a mixed number into an improper fraction, you first need to multiply the whole number by the denominator of the fraction. then, you add the numerator of the fraction to the product of the multiplication problem. that answer is then the new numerator of the fraction! the denominator will stay the same.

for example, the very first one that is given in the picture is 6 1/2. 6•2 equals 12, plus the numerator, 1, gives 13.

A new shape with an area of 1 square unit that is not a square can be formed by combining two small triangles

The given parameters are:

The area of each small triangle is:

Area = 0.5 square unit

Multiply both sides by 2

2 * Area of triangle = 1 square unit

Substitute Area of square = 1 square unit

2 * Area of triangle = Area of square

This means that a new shape can be formed by combining two small triangles

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