If 0 is an angle in standard position and its terminal side passes through the point
(-7,24), find the exact value of sec 0 in simplest radical form.

Answers

Answer 1

Answer:

[tex] \frac { 5\sqrt{21} }{ - 7} [/tex]

Step-by-step explanation:

Firstly, let find some some other trig functions. We need to know all sides to know other trig functions. We know the horizontal side is -7 because it x-axis is at -7, it y-axis is at 24. so it vertical side is 24. Then we use the pythagorean theorem to find r

[tex] {7}^{2} + {24}^{2} = {r}^{2} [/tex]

49+576=

[tex] {c}^{2} [/tex]

525=c^2

[tex] \sqrt{525} = 5 \sqrt{21} [/tex]

So since we know that x= -7, y=24, r= 5 times sqr root of 21. We can find some trig functions. We can use function cosine here. Cosine equals

[tex] \frac{x}{r} [/tex]

cos=

[tex] \frac{ - 7}{5 \sqrt{21} } [/tex]

then we find secant which is the reciprocal of cos so we flip the numbers and that equals

[tex] \frac{5 \sqrt{21} }{ - 7} [/tex]


Related Questions

Solve: 2(3x-4)(x+5)=0

Answers

Answer:

x=  4/3 or x=−5

Step-by-step explanation:

find the glide reflection image of the image of the black triangle for the composition
(R x-1 °T <0,-7>)

Answers

Answer

-17

Step-by-step explanation:

i used a calculator

The glide reflection of the figure is given below. Therefore, option D is the correct answer.

What is a glide reflection?

Glide Reflection is a composition of transformations. In glide reflection, a translation is first performed on the figure then it is reflected over a line.

From the given figure, labelled the black triangle as A, B and C.

The coordinates of  triangle ABC are; A= (2,8) , B= (2,5) and C=(6,5)

To find the glide reflection image of the triangle ABC.

Given: The rule of translation is: (x, y)→(x, y-7) and the line of reflection is x= 1.

Now, apply the rule of translation to the black triangle, and we get;

A(2, 8)→(2, 8-7)=A'(2, 1)

B(2, 5)→(2, 5-7)=B'(2, -2)

C(6, 5)→(6, 5-7)=C'(6, -2)

Now, apply the rule of reflection over the line x =1.

That is, (x, y)→(-x+2, y)

A'(2, 1)→(-2+2, 1)=A''(0, 1)

B'(2, -2)→(-2+2, -2)=B''(0, -2)

C'(6, -2)→(-6+2, -2)=C''(-4, -2)

You can see the graph of the Glide reflection as shown below.

Therefore, option D is the correct answer.

To learn more about the Glide reflection visit:

https://brainly.com/question/23836664.

#SPJ5

what is the circumference of a circle with a radius of 4 inches use 3.14 as Pi

Answers

Answer:

C= 25.12

Step-by-step explanation:

c=2pir

so you plug n chug by putting in c=2 times 3.14 times 4

which gives you the answer of 25.12

Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help

Answers

Answer:

Domain: [0, 4]

Range: [0, 4]

Function? Yes

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinates

Step-by-step explanation:

According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:

Interval Notation - [0, 4]

Inequality Notation - 0 ≤ x ≤ 4

Since we see that each x-value has a unique y-value and passes the vertical line test.

∴ the relation is a function.

what is 2/3 (6x - 1/6) + 3x?​

Answers

answer::

7x=-1/9!!!!!

[tex] = \tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x [/tex]

[tex] =\tt \frac{2}{3} \times 6x - \frac{2}{3} \times \frac{1}{6} + 3x[/tex]

[tex] =\tt \frac{2 \times 6}{3}x - \frac{2 \times 1}{3 \times 6} + 3x[/tex]

[tex] = \tt \frac{12}{3} x - \frac{2}{18} + 3x [/tex]

[tex] =\tt 4x - \frac{2 \div 2}{18 \div 2} + 3x[/tex]

[tex] = \tt4 x- \frac{1}{9} + 3x[/tex]

[tex] = \tt4x + 3x - \frac{1}{9} [/tex]

[tex] \color{plum}= \tt\bold{7x - \frac{1}{9} }[/tex]

Therefore,

[tex] \color{hotpink}\tt \frac{2}{3} (6x - \frac{1}{6} ) + 3x \color{plm}= \color{plum}\tt\bold{7x - \frac{1}{9} } [/tex]

Is y=2x - 5 proportional?

Answers

Answer:

yes

Step-by-step explanation:

Because it is the answr

Store A cost $6 for 3 boxes. Store B costs $5 for 2 boxes. Which store has the better deal? How do you know? please hurry​

Answers

Hi there! Your answer to the problem would be Store A..

Step By Step Explainaction:

So we know that store A’s boxes cost $6 for each 3 boxes, and store be cost 5$ for 2 boxes.

Divide 6 with 3 since you want to know how much one would cost. 6 divide 3=6. Let check again by doing multiplication. 3x2 is also 6. This means that the cost for each box for Store A would be 2$.

Store B is the same but dividing 5$ with 2. 2x2=4 but we need to know 5. But 1 is actually .5 or 50% of 2. So it would be 2.5 or 2 and a remainder of 1. Same things...

So it would be Store A that gives cheaper cost. $2>$2.5

Given:

Store A costs $6 for 3 boxes. Store B costs $5 for 2 boxes.

To find: Which store has the better deal.

Answer:

In order to do so, we'll need to divide the cost by the number of boxes to retrieve the cost of 1 box. The store with the lowest price for 1 box will have the better deal.

Let's first see what a box costs in Store A.

[tex]\sf \dfrac{Cost}{Number\ of\ boxes}\ =\ Cost\ of\ one\ box\\\\\\\dfrac{6}{3}\ =\ 2[/tex]

At Store A, the cost of a box is $2.

Now let's see what a box costs in Store B.

[tex]\sf \dfrac{Cost}{Number\ of\ boxes}\ =\ Cost\ of\ one\ box\\\\\\\dfrac{5}{2}\ =\ 2.5[/tex]

At Store B, the cost of a box is $2.5.

Since the cost at Store B seems to be a slightly higher price, Store A has the better deal.

Hope it helps. :)

Please help! Will give brainliest

Answers

Answer:

d=1/2

b=1/25

b(row 2)=1/5

e=7/100

explanation: think about them as numbers out of 100 then simplify :)

Answer:

4% = 1/25

20% = 1/5

50% = 1/2

7% = 7/100

i sincerely apologize if any of these are incorrect

PLEASE HELP IM SO BAD AT MATH AND I AHVE A 25 IN IT PPLELSLSLSL

Answers

Answer:

for the shirts made column its 1, 2, 3, 4, 5

for the cost of machine it's 2 and 150

and for total cost its 160, 180, and 200

Step-by-step explanation:

Round to the hundredths place.
$4.56 for 18 cookies

Answers

It’s either 4.56 or 4.60

if An atom has 10 protons, 11 neutrons, and 9 electrons. What is the atomic number of this atom?


A) 9

B) 10

C) 11

D) 21

Answers

Answer:

B

Step-by-step explanation:

Atomic number is equal to the number of protons in an atom.

In your own words, how would you define slope?

Answers

Answer:

Slope

Step-by-step explanation:

Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

Answer:

and Mathematics this soap or gradient of a line is a number that describes both the direction and the steepness of the line assault with a greater absolute vinyl indicates a steeper line the direction of a line is either increasing decreasing or horizontal or vertical

A 228 foot cable is attached to a 43 foot tower. What
angle would the cable make with the ground?

Answers

sinX=43/228
X=sin-1(43/228)
X=10.9

Find the perimeter of a triangle with Side A = 2 cm, Side B = 3 cm, and Side C = 5 cm.

Answers

Answer:

gusto Kita Alam muba

Step-by-step explanation:

gusto Kita ok lang ba I don't know what is the answer

Increase 400 litres by 20%

Answers

Answer:

400 Liters increased by 20 percent is 480 Liters.

Increase 400 liters by 20% is 480

use the gcf and distributive property to express 21+24

Answers

Answer:

3

hope it's helpful ❤❤❤

THANK YOU❤

Answer:

3(7 + 8) is a factored form

Three more than a number is
sixty.
(Write the equation

Answers

Answer:

x + 3 = 60

Step-by-step explanation:

Let the number be x

x + 3 = 60

Hope it helps :)

Please mark my answer as the brainliest

A model ship is built to a scale of 1 centimeter = 5 meters. The length of the
model is 30 centimeters. What is the actual length of the shig?

Answers

Answer:

150 meters

Step-by-step explanation:

Since 1 x 30 gives the 30

5 x 30= 150

Katrina is going to order sweatshirts for her girls mentoring group. The sweatshirts will have the group logo printed on the front. Katrina asks two local companies to give her a price.

MH Designs will charge $21.50 for each of the sweatshirts.

Print Rich will charge $18 for each sweatshirt plus a one-time setup cost of $70.

Answers

I’m not sure how many shirts she is getting but I would say MH Designs

PLZ HELP MARK U BRAINLIEST

Answers

Answer:

=15

_

96 heuehueh Enjoy your answer

Write the equation of the line in slope-intercept form (y=mx+b) that has the slope m=2 and a y-intercept (0,4)

Answers

Answer:

The equation is

[tex]y = 2 x + 4[/tex]

The traffic lights at three different road crossings change after every 48 seconds, 72
seconds and 108 seconds respectively. If they change simultaneously at
7 a.m., at what time will they change simultaneously again?

please tell step by step​

Answers

Answer:

7 : 7  : 12 am

Step-by-step explanation:

This question pretty much requires us to obtain the lowest number that is common to all three times. The qay to obtain this is by finding the LCM of all three numbers.

This is given as;

48 = 2 × 2 × 2 × 2 × 3

72 =  2 × 2 × 2 × 3 × 3

108 =   2 × 2 × 3 × 3 × 3

The LCM is = 2 × 2 × 2 × 2 × 3 × 3 × 3 = 432 seconds.

Converting to minutes by dividing by 60, the time is = 432 ÷ 60 min = 7 min 12 sec

The next time they would change simultaneously is; 7am + 7 min 12 sec = 7 : 7  : 12 am

SOMEONE HELP. ME pllessseeee

Answers

Answer:

4x+2=22

4x=22-2

4x=20

x=20/4

x=5

Answer:

x = 5

Step-by-step explanation:

First step - subtract 2 from both sides:

4x + 2 - 2 = 22 - 2 which simplifies to 4x = 20

Second step - divide both sides by 4:

4x ÷ 4 = 20 ÷ 4 which simplifies to x = 5

Can someone pls answer this

Answers

Answer:

a) 148°

b) 35.35 cm squared

Step-by-step explanation:

a)

[tex]\alpha =2tan(\frac{14}{4} )^{-1} =148[/tex]

b)

[tex]A=4*14-\frac{\pi 4^{2}*148 }{360} =35.35cm^{2}[/tex]

Part
The point (-3, 6) is on a line with a slope of 4. What are all the points you would also find on the line.

Answers

Step-by-step explanation:

THANK YOU AND PLZ MARK AS BRAINLY AND GIVE RATING ALSO

What is the Unit price of 5 tickets for $5.00 ?

Answers

The unit price of five tickets for five dollars is $25

Answer:

$25

Step-by-step explanation:

A triangle has sides with lengths of 6 meters, 8 meters, and 10 meters. Is it a right triangle?

Answers

No, because a right angle is 90 degrees.

Answer:

No

Step-by-step explanation:

becuase no

Your math teacher loves to collect markers and pencils. If she has 9 more markers than pencils and has a total of 41 writing utensils, how many pencils does your teacher have? please explain pleaseee​

Answers

Answer:

16

Step-by-step explanation:

There is a total of 41 writing utensils, if you have 9 more pencils than markers you need to subtract 9 from 41. Then half that number so you will get the total amount of pencils.

41-9=32

32/2=16

A line segment with endpoints (7,5) and (10, 1) is reflected across the line y = -x. Which pair of coordinates represents the endpoints of the given segment after the reflection?
A (-7, 5) and (-10, 1)
B (-5, -7) and (-1, -10)
C(5, 7) and (1, 10)
D (7,-5) and (10,-1)​

Answers

Answer:

D. (7,-5) and (10,-1)

Step-by-step explanation:

Because 7 and 10 are on the Y and -5 and -1 is on the X

100 POINTS AND BRAINLIEST PLEASE HURRY!

Which of the following sentences uses the word "embolden" correctly?

Jimmy was scared and emboldened by the ghost.
Jenny’s stressful day at school emboldened her to go to bed early.
Jenny’s initial success off the high-dive emboldened her to try again.
Jimmy emboldened the text in order to make it stand out on the page.

Answers

Answer:

Jenny’s initial success off the high-dive emboldened her to try again.

Step-by-step explanation:

embolden means to give (someone) the courage or confidence to do something or to behave in a certain way.

Answer:

I believe the correct answer is C, ‘Jenny’s initial successs off the high-dive emboldened her to try again.’

This is because the word ’bold’ basically means to be without fear.

I hope this helps you some! Have a good rest of your day/night!

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