Given csc(A) = 65/16 and that angle A is in Quadrant I, find the exact value of sec A in simplest radical form using a rational denominator . Someone please help me!

Answers

Answer 1

Answer:

secA = [tex]\frac{65}{63}[/tex]

Step-by-step explanation:

cscA = [tex]\frac{65}{16}[/tex] = [tex]\frac{hypotenuse}{opposite}[/tex]

This is a right triangle with hypotenuse = 65, opposite = 16 and

adjacent = [tex]\sqrt{65^2-16^2}[/tex] = 63

Then

secA = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{65}{63}[/tex]


Related Questions

don’t really get this pls help

Answers

Answer:

B

Step-by-step explanation:

It should be B

1hr left on this test so confused

Which statement is true regarding the functions on the
graph?

Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)


Answers

f(-3)=g(-4) 123456789012345

The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years

Answers

Answer:

The half-life of the substance is of 1600 years.

Step-by-step explanation:

Amount of the substance:

The amount of the substance after t years is given by the following equation:

[tex]C(t) = A(0.999567)^t[/tex]

In which A is the initial amount.

Find the half-life:

This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So

[tex]C(t) = A(0.999567)^t[/tex]

[tex]0.5A = A(0.999567)^t[/tex]

[tex](0.999567)^t = 0.5[/tex]

[tex]\log{(0.999567)^t} = \log{0.5}[/tex]

[tex]t\log{0.999567} = \log{0.5}[/tex]

[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]

[tex]t = 1600[/tex]

The half-life of the substance is of 1600 years.

the function f is given by f(x) = (x - 6)(x - 2). Multiply out the factors using the area model or distributive property. What expression do you get

Answers

x^2-8x+12, hope this helps

g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?

Answers

Answer:

y=80

Step-by-step explanation:

when solve y-intercept let x=0

y= -16(0)2+64(0)+80

y=0+0+80

y=80

(0;80)

What is the common ratio for this geometric sequence?
16, 8, 4, 2, …..

Answers

Answer:

ratio is 1/2

Step-by-step explanation:

r=8/16 =1/2

Answer:

1/2

Step-by-step explanation:

16 * 1/2 = 8

8 * 1/2 = 4

4 * 1/2 = 2

Hope this helps!

Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)

Answers

Answer:

The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

Step-by-step explanation:

In a translation, we have that:

(x,y) -> (x+a,y+b)

In which a and b are how much the values change.

(6.-9) -> (0,1)

x subtracted by 6, y added by 10. So, the translation rule is:

(x,y) -> (x - 6, y + 10).

(-3,7) -> (-9,10)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3).

(1, -5)-> (-5, -2)

x subtracted by 6, y added by 3. So

(x,y) -> (x - 6, y + 3)

Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.

(2, 4) -> (-4,1)

x subtracted by 6, y subtracted by 3. So

(x,y) -> (x - 6, y - 3)

PLEASE HELP!!


Find the area of the following triangle enter the exact answer as a decimal

Answers

Answer:

75.06239187

Step-by-step explanation:

1/2bh= Area of a Triangle

6^2+b^2=8.5^2 because we are missing a side we need to use the pythagorean theorem.

36+b^2=72.25

b^2=36.25

b=6.02

6.02+19= base

25.02

Now area

1/2bh

1/2 (25.02*6)

25.02*6= 150.1247

150.1247/2= 75.06239187 is Area

The above decimals before area are rounded.

Find the common ratio of the geometric sequence -13, 117, -1053,...

Answers

Answer:

-9

Step-by-step explanation:

Find the common ratio by dividing one of the numbers in the sequence by the previous number:

117/-13

= -9

So, the common ratio is -9.

help me pls and solve for x

Answers

Answer:

See below.

Step-by-step explanation:

sin(71) = x/23

x = sin(71) * 23

x = 21.75

Answer:

21.75 (2 digit after decimal)

Step-by-step explanation:

Sin theta = perpendicular/hypotenuse

sin 71=x/23

23 sin 71=x

x=21.747

Only answer if you’re sure of it. FAST!!

A card is drawn from a standard deck of 52 cards and not replaced. Find the probability of drawing a king
and then an ace.

Answers

There are only 4 Kings in a standard deck of 52 poker cards, being the King of Spades, Clubs, Diamonds and Hearts. So the probability of drawing a king from the cards is 4/52 = 1/13.and it is the same for the ace so together they’d be 8/52 or 2/13.....hope that helps

Help pls pls pls pls

Answers

Answer:

(C).

[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]

Factor this trinomial completely. 2x2 + 6x + 4 O

A. 2(x-2)(x + 1)

B. 2(x + 2)(x+1)

c. 2(x + 2)(x-1)

D. 2(x-2)(x - 1)​

Answers

Answer:

B.  2(x+2)(x+1)

Step-by-step explanation:

[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 {x}^{2} + 6x + 4[/tex]

Taking 2 as common factor, we have

[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]

Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have

[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]

Taking the factor [tex](x+2)[/tex] as common,

[tex] = 2(x + 2)(x + 1)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

help asap please, will mark brainliest

Answers

Answer:

24 cm

Step-by-step explanation:

Answer:

24cm

Step-by-step explanation:

V= 4/3πr³

or, r³= 3/4π ×V= 3/4π× 18432π= 13824

or, r= (13824)^1/3= 24cm

pls help
Factor out the GCF
16x - 48

Answers

Answer:

16

Step-by-step explanation:

the greatest common factor of 16 and 48 is 16

Factors for 16: 1, 2, 4, 8, and 16.

Factors for 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120

Answers

Since the lines are parallel then
x and 120 are alternate angles and congruent, hence
x = 120 → C
It’s 120 cuz they both have same angles

please help.

What is the slope of the line given by the equation y = 2x + 6?​

Answers

Answer:

The slope is 2 and the y intercept is 6

Step-by-step explanation:

y = 2x+6

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 2 and the y intercept is 6

Answer:

2

Step-by-step explanation:

slope intercept form is

y = mx + b

m is the slope and b is the y-intercept

y = 2x + 6

m = 2

Slope is 2

is this an expression or an equation? 4a + 3b-6cx9

Answers

Answer:

Expression

Step-by-step explanation:

Given expression :

4a+3b-6cx9

So this is expression not equation because equation consist zero on the righ side

Example: ax+b=0 (This is equation )

And

ax+b (This is expression)

ahh could i get sum help?

Answers

Answer:

8/35 cubic inches

Step-by-step explanation:

Volume is length x width x height. To find the answer, we must multiply all values together. 2/3 times 3/5 ix 6/15. Let's simplify this before multiplying further. 6/15 can also be written as 2/5. 2/5 times 4/7 is 8/35 which cannot be simplified. 8/35 is the final answer.

Please Help!!

In OW, given that WV WU, find TS if VQ = 13. A 6.5 B 13 C. 19.5 D. 26

Answers

Answer:

The answer is D

Step-by-step explanation:

This is because it cant be 13 or any smaller, and if the shorter side is 13 than it can't be any less than double itself, so it's D

ILL GIVE BRAINLIEST!! Find y. Give your answer in
the simplest form.
45°
y = [?]

Answers

Answer:

y = 2

Step-by-step explanation:

Using the sine ratio and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{\sqrt{2} }{y}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y = ([tex]\sqrt{2}[/tex] )² = 2

Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)

Part B: How much time does Angela spend playing golf every day? (3 points)

Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)

Answers

Answer:

Part A: x = y+45

Part B: 40 125-45 = 80, 80÷2 = 40

Part C: Yes, because 80+45 adds up to 125.

Hope this helps! :)

Andrea's family stopped at the gas station to get gas. At gas stations, the price of gas per gallon is given to the nearest thousandth. In order to determine how much money he would need to pay for the gas, Andrea's dad asked her to round the price of gas per gallon to the nearest hundredth.

The gas price per gallon rounded to the nearest hundredth was $2.50. Which of the following prices could have been the original gas price?

$2.493
$2.505
$2.509
$2.498

Answers

Answer:

$2.498

Step-by-step explanation:

Learn with an example
A line that includes the point (1, 2) has a slope of 9. What is its equation in slope-intercept
form?

Answers

Answer:

y = 9x + (-7) should be the answer

find the centre and radius for this circle , x^2+y^2=25

Answers

Answer:

centre = (0, 0 ), radius = 5

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 25 ← is in this form

with centre = (0, 0 ) and r = [tex]\sqrt{25}[/tex] = 5

please answer quickly easy 15 points but please answer quick

Answers

Answer:

24.25 feet

Step-by-step explanation:

What is the square feet

A.60 square feet

B.54 square feet

C.42 square feet

D.104 square feet

Answers

The answer is B
Hope that helps

Find the measure of DF

Answers

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

hey again, could you help me with this and explain? thank you

Answers

Answer:

option 2

in the first equation y is greater than so it would be shaded above the line and in the second equation y is less than so it would be shaded below the line

Step-by-step explanation:

Anybody know the answer ?

Answers

I think its idfk…maybe?!?

Answer:

The final speed after collision of the first ball that weighs 4 kg will be 8.5 m/s.

Step-by-step explanation:

M1 = 4

M2 = 2

V1 = 8

V2 = 6

V2f = 5

V1f = ?

Rep. Situation with Momentum formula:

M1*V1+M2*V2 = M1*V1f+M2*V2f

Rearrange:

((M1*V1+M2*V2)-M2*V2f) / M1 = V1f

Calculate:

((44) - 10) / 4 = V1f

V1f = 8.5

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