if cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta ​

Answers

Answer 1

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]


Related Questions

Find the missing side of the triangle.
Solve for X

Answers

Answer:

11.18 or 11 yards

Step-by-step explanation:

15² - 10² = x²

225 - 100 = x

225 - 100 = 125

√125 = 11.180339887498948482045868343656

11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.

Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.

How many shells does Zoe give to Dev?

Answers

Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

Step-by-step explanation:

Might not be correct but I try to explain in my best ways(: question not from safari! let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.

Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles

Answers

Answer:

Step-by-step explanation:

This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:

[tex]\frac{miles}{hrs}:[/tex]

Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):

[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:

638x = 4466 so

x = 7 hrs

1. {26, 21, 28, 31, 9, 28, 16, 18, 21, 23, 29, 24, 19, 22, 25, 28}

Find the mean.

Find the Medium

Find the mode(s)

Find the range

Answers

Mean=23

Median=21.5 its a hard one to do so yeah

Modes=28

Range=22

Find the value of x. Help fast me need help

Answers

Answer:

(5x + 16) + 102 + 92 + 100 = 360

(5x + 16) + 294  = 360

-294                   -294

5x + 16 = 66

-16           -16

5x = 50

Divide by 5 on both sides.

x = 10 degrees

A quadrilateral will always equal 360 degrees

A triangle will always equal 180 degrees.

Find the discriminant of 3x^2 - 10x = -2

I don't know what a discriminant is help

Answers

The discriminant of your equation would be 76.

What is the missing term?​

Answers

Answer:

Missing term = 6x

Step-by-step explanation:

We got:

=> 4x by multiplying +4 and x (x * 4 = 4x)

=> 12 by multiplying +4 and +3 (4 * 3 = 12)

=> 2x² by multiplying 2x and x (2x * x = 2x²)

Similarly we will get the "missing term" by multiplying 2x and +3

=> Missing term = 6x, (2x * 3 = 6x)

Hope this helps!

Answer: 6x

Reasoning : 2x • 3 = 6x

Plot the points (2, 5), (2, -4), (10, 5), and (10, -4) on a coordinate plane. What is the perimeter of this polygon?

Answers

Answer:16

Step-by-step explanation:

i just need to the points sorry dude

Can someone help me with this ?

Answers

Answer:

Step-by-step explanation:

the side opposite of K is JL.

answer: the side opposite is JL

explanation:








Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

810

Step-by-step explanation:

[tex]V = l * w * h = 5 * 9 * 18 = 810\ cm^3[/tex]

90%in the SIMPLEST form​

Answers

Answer:

[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]

Answer:

The simplest form of

90/100

is

9/10

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 90 and 100 is 10

Divide both the numerator and denominator by the GCD

90 ÷ 10

100 ÷ 10

Reduced fraction:

9

10

Therefore, 90/100 simplified to lowest terms is 9/10.

What's the value of X for the figure below?

Answers

Answer:

75+30+x+30+x+75=360

210+2x=360

2x=360-210

2x=150

x=150/2

x=75

Step-by-step explanation:

therefore x=75 degree

Write the exponential function

Answers

Answer: f(x)=3(2)^x (The second option)

Step-by-step explanation:

By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!

How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.

Answers

Answer:

C. The graph of g(x) is shifted 5 units up.

Step-by-step explanation:

The transformation shown shows a vertical translation.

[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]

The graph would move f(x) five units up.

Hope this helps.

Verona is solving the equation -3+4x=9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

Answers

Answer: he should add 3

Step-by-step explanation: he should add 3 because then you have 4x=12 and that simplifies to x=3

formulas of a triangular prism​

Answers

Answer: Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.?

Step-by-step explanation:

Zachary earns $5 per hour, and he makes a $20 bonus.
His equation is shown in red on the graph, y = 5x + 20.
Maisy earns $7.50 per hour, and she makes a $5 bonus.
Her equation is shown in blue on the graph, y = 7.50x +
5.
After how many hours do they earn the same amount of
money? Where do you see this on the graph?

Answers

Answer:

6 hours

we see it at the x value of 6 on the graph

Step-by-step explanation:

I graphed it too using desmos then located the point where they cross, the solution point, and it was at the x value of 6 and they will have made $50 by the way in case you wanted to know that too so we see that on the graph at the point (6,50) is where they make the same amount of money.

The expected value of the number of points for one roll is

A) 0

B) 3

C) 6

Answers

Answer:

A) 0

Step-by-step explanation:

got right on assignment

What is the probability of flipping a coin 12 times and getting heads 3 times?
Round your answer to the nearest tenth of a percent.

Answers

Answer:

1/4

Step-by-step explanation:

We put 3 /12 which is 1/4 simplified

Glad I could help!!1

Here's the number line what fraction of 1 foot is 3 inches what fraction of one yard is 3 inches explain

Answers

Answer:

1/4 and 1/12

Step-by-step explanation:

We know that

1 foot = 12 inches

therefore, 1 inch = 1/12 foot

hence, 3 inches  = 3/12 foot

= 1/4.

Therefore, the required fraction is = 1/4

Similarly,

1 yard = 36 inches

This implies 1 inch = 1/36 yard

Hence, 3 inches = 3/36 = 1/12

Therefore, the required fraction  = 1/12

please help i give all my points

Answers

where is the drip at?

Three yams are chosen at random from 15 tubers of which 5 are spoilt Find the probability that, of the three chosen tubers (A) none is spoilt. (B) all are spoilt. (C) exactly one is spoilt. (D) at least one is spoilt

Answers

Step-by-step explanation:

.....................

Drag each length to match it to an equivalent length. 2 yards 5 inches returned to choices list. 2 feet 8 inches4 yards9 feet2 yards 5 inches Length Equivalent Length 32 inches 77 inches 144 inches 3 yards

Answers

Answer:

2 yards 5 inches will be equivalent to 77 inches

Step-by-step explanation:

Given length -

2 yards 5 inches

One yard has 36 inches

Two yards will have 2*36 = 72 inches

Thus, 2 yards 5 inches will sum up to 72 inches + 5 inches = 77 inches

Hence,  2 yards 5 inches will be equivalent to 77 inches

Answer:

3 yards = 9 feet

77 inches = 2 yards 5 inches

48 inches = 1 yard 1 foot

32 inches = 2 feet 8 inches

I hope this helped!! <3

What is the shape of this distribution

Answers

Answer is B. Hope this helps
Could I please get brainliest answer?

The volume of a large aquarium is 210 ft3 . It is 5 ft wide and 6 ft high. What is the length of the aquarium?

Answers

Answer:

7 ft.

Step-by-step explanation:

210 / (5*6)

= 210/30

= 7 ft.

Plot these points in the graph:
f(x)=(x+1)(x-5)

Answers

Answer:

graph based on step by step

Step-by-step explanation:

Graph the x intercepts, when x=0 set x+1=0 and x-5=0 and you get x=5 and x=-1, these are the points when y=0. then you can foil them out and see the way the parabola is structured, then you see that the middle of the intercepts is x=2, plug that into the equation either in intercept form of standard (foiled) and find the maximum/minimum

After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?

Answers

Answer:

D(h) = 55h - 2000

1670 m

Step-by-step explanation:

Given :

Starting elevation, D = - 2000 m (2000 m below sea level)

Rate, h = 55 m per hour.

The slope - intercept relation :

y = mx + c

m = slope = rate of change

c = intercept

In the scenario given :

-2000 = intercept

55 = rate of change

D(h) = 55h - 2000

After 6 hours :

D(6) = 55(6) - 2000

D(6) = - 1670 m

For what value of k is the expression x4+kx2+36 a perfect square?

Answers

Answer:

12

Step-by-step explanation:

Because if you see clearly that is the only answer that makes the most sense!

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The equation is given below.

⇒ x⁴ + mx² + 64

Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,

b² = 4ac

m² = 4 x 1 x 64

m² = 265

m² = 16²

m = 16

The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.

More about the perfect square trinomial link is given below.

brainly.com/question/16615974

#SPJ3

complete question:

For what value of m is the expression x4+mx2+64 a perfect square?


A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock

Answers

Answer:

9.2929

Step-by-step explanation:

Find the square roots of the following numbers. Give the steps correctly.

\sqrt {19.9 }

Please give me the answer .

Answers

Answer:

the sqare root of 19.9 is 4.46094160464

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