what is the value of k makes the equation trur

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3

Answer:

a=100

b=1

Step-by-step explanation:

18a+65b=1865

23a+7b=2314

We need to make one of the variables equal to the other

So...

The LCM for 65 and 7 is 455

So multiply 7 with 18a+65b=1865

and Multiply 65 with 23a+7b=2314

7 times 18a+65b=1865 is 126a+455b=13055

65 times 23a+7b=2314 is 1495a+455b=150410

So Subtract 126a+455b=13055 and 1495a+455b=150410

So 1369a=137355

Divide:

Which is about 100 (The actual value is 100.3323594)

Thus a=100

Substitute:

b=1

Hope this helps!

(The answer is rounded)

Answer:

I used the discriminant which is √-4ac

Then I filled the numbers in, and found that 9 gets plug in for b and this becomes 9 squared, and that becomes 81. 4 is multiplied to 4 and 1 and becomes 16. Then 81 and 16 are subtracted and we get 65. We then find the square root, and will find that the answer is C.

Step-by-step explanation:

Answer:

3b÷c1−a

=3×9÷1×1-4

=27÷1-4

=27-4

=23

Answer:

Y-Y1=M(x-x1)

that's the formula then fixing in your values we have

y + 5 =2(x-3)

y+5 =2x-6

Crossing over we have

y-2x=-6-5

equation of the line equals

y-2x-11 =0

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

Therefore, the answer is 28.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

The value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

Let suppose that quadrilateral [tex]OABC[/tex] is a parallelogram. Then, the following conditions must be fulfilled:

In addition, if we have a rhombus we have the additional condition as A, B and C lie on the circle:

[tex]\overline{OA} \cong \overline {AB} \cong \overline {BC} \cong \overline{OC}[/tex] (4)

If we know that [tex]\angle AOC = 142^{\circ}[/tex], then the value of [tex]\angle ABC = y = 142^{\circ}[/tex].

Based on all these finding, we conclude that the value of the angle [tex]y[/tex] within the quadrilateral [tex]OABC[/tex] inscribed the circle is 142°.

To learn more on parallelograms, we kindly invite to check this verified question: https://brainly.com/question/555469

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

Answer:

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Step-by-step explanation:

7 + 3² - 2.5 / 4 - 1.2 = 4.82142857

( 3/4 + 1/8 ) ÷ 1/8 - 2² = 3

Which means :

7 + 3² - 2.5 / 4 - 1.2 > ( 3/4 + 1/8 ) ÷ 1/8 - 2²

Answer:

[tex] \frac{r}{4} - 5[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The expression till now

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}[/tex]

But we need the expression for five less than the quotient

[tex]\\ \sf{:}\Rrightarrow \dfrac{r}{4}-5[/tex]

Answer: A $1,332.73

Step-by-step explanation:

The monthly payment if you put 3. 5% down is a. $1,332. 73.

Down payment=218,500 - (218.500×3.5%)

Down payment=218.500-7,647.5

Down payment=210,852.50

Time = 12×30=360 months

rate=6.5/1,200 = 0.005416667

Using the loan payment formula

Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal

Let plug in the formula

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal

Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal

Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50

Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50

Monthly payment = 0.0063206805× 210,852.50

Monthly payment = 1,332.73

Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.

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Answer:

the frist one

Step-by-step explanation:

hope it helps

Answer:

87

Step-by-step explanation:

sorry if im wrong

Answer:

1. Ounces

2. 62 miles per hour

Step-by-step explanation:

1. 12 OUNCES and 36 OUNCES

2. 496/8 = 62 (check 62x8 = 496)

Answer:

The answer is 400

Step-by-step explanation:

...........

Answer:

the answer is 400 darlin

Step-by-step explanation:

[tex]\huge{\underline{\underline{\boxed{\sf{\purple{ǫᴜᴇsᴛɪᴏɴ}}}}}}[/tex]

[tex]\huge{\underline{\underline{\boxed{\sf{\ref{Answer}}}}}}[/tex]

[tex]\large\huge\green{\sf{♥ Explanation♥}}[/tex]

∴Hence, at standard it is 13.00-4 =99.00 STD talk

off reached at Manila +8 Zone at 20.00

∴Hence at standard & 2000 -8

reached.⇒ 12.00 STD

(i) Time at Manila, whicle Plane de parts

12-3+8 ⇒9+8 → 17.00

(ii) duration = 3 hours.

(iii) in dubai 13.00 + 3 = 16,00

_____________________

Ans

i)17.0.0 (ii) 3 hours (iii) 16.00

________________________

♕ hence we done:) xD

Answer:

57 Students........................

Using proportions, it is found that the original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

The rule of three is:

1 batch - [tex]6.9 \times 10^{-10}[/tex] grams.

12 batches - x grams

Applying cross multiplication:

[tex]x = 12 \times 6.9 \times 10^{-10} = 82.8 \times 10^{-10}[/tex]

Applying scientific notation:

[tex]8.28 \times 10^{-9}[/tex]

The original sample weighed [tex]8.28 \times 10^{-9}[/tex] grams.

You can learn more about proportions at https://brainly.com/question/24372153

Proportion of corresponding side is FH/JH  = HG/HK  = FG/JK.

Congruent triangles are triangles that are the same size and shape in every way. The sign for congruent is ≅ . Two triangles are considered to be congruent if the measurements of one triangle's three sides and three angles are the same as those of another triangle's sides and three angles.

Given triangles are similar ΔFGH ∼ ΔJKH

We can make the angles of this statement that correspond to each other congruent. We can then write a proportion that relates the corresponding sides to one another because the sides of similar triangles are proportional to one another.

so angles ∠GFH ≅ KJH; ∠GHF ≅ ∠KHJ; ∠HFG ≅ ∠HJK

and proportion of corresponding side is  FH/JH  = HG/HK  = FG/JK.

Hence the proportion that relates the corresponding side are            FH/JH  = HG/HK  = FG/JK.

Learn more about congruent triangles;

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Answer:

distribute parenthesis

Step-by-step explanation:

6(2x + 1) = 4x - 5 ← distribute parenthesis on left side

12x + 6 = 4x - 5 ( subtract 4x from both sides )

8x + 6 = - 5 ( subtract 6 from both sides )

8x = - 11 ( divide both sides by 8 )

x = - [tex]\frac{11}{8}[/tex]

Answer:

First one is yes second one is yes 3 one is yes 4 one is yes and first one is a repeating decimal

Step-by-step explanation:

Also sorry if it's wrong but I tried also hope u have a great day!

Answer:

Give the person above me brainliest

Step-by-step explanation:

Answer:

A: 97/30x + 23

Answer:

We consider:

T1 = 2s

T2 = 3s

T3 = 5s

We calculate the least common multiple of the Ts:

Ttot = 30 s.

During a seven minute dance the lights will come on at the same time:

7*60 s / 30 = 14 times.

In a span of 7 minutes, the lights will blink together 14 times.

LCM of two or more than two given numbers is the smallest common multiple that is divisible by two or more than two given numbers.

Given, Joe was in charge of lights for a dance.

The red light blinks every two seconds, the yellow light every three seconds, and the blue light every five seconds.

∴ LCM of 2, 3, and 5 is 30 so the lights blink together after every 30 seconds.

So, in 7 minutes or (7×60) = 420 seconds the lights will blink together

(420/30) = (42/3) = 14 times.

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Using the arrangements formula, it is found that there are 720 words that can be formed.

The number of possible arrangements of n elements is the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem:

[tex]T = 6 \times 5! = 6! = 720[/tex]

There are 720 words that can be formed.

To learn more about the arrangements formula, you can take a look at https://brainly.com/question/24648661