In right triangle PQR, m∠Q = 90° and sin R=5/13
What is the value of cos R?
a) 5/13 b)5/12 c) 12/13 d) 12/5

Answer:

A

Step-by-step explanation:

Starting with the original equation:

[tex]\sqrt{1-3x} =x+3[/tex]

Squaring both sides to remove the root, and expanding the right side:

[tex]1-3x=(x+3)(x+3)[/tex]

Multiplying the right side:

[tex]1-3x=x^{2} +6x+9[/tex]

Combine like terms:

[tex]x^{2} +9x+8[/tex]

Factor:

(x+8)(x+1)

If x+8=0, then x= -8

If x+1=0, then x=-1

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Answer:

,29.25m

Step-by-step explanation:

maybe answer is correct

Answer: B. 29.25 cm

Step-by-step explanation:

Given

The prefix nona- came from Latin meaning "nineth"

Thus, nonagon has 9 sides

Solve

1 side = 3.25 cm

9 sides = 3.25 × 9 = 29.25 cm

Hope this helps!! :)

Please let me know if you have any question

Answer:

m = -4

Step-by-step explanation:

The given expression is :

[tex](17)^{3}\cdot(289)^{-6}=(17)^{2m-1}[/tex]

We need to find the value of m

We know that, 17² = 289

So,

[tex](17)^{3}\cdot(17^2)^{-6}=(17)^{2m-1}\\\\(17)^{3}\cdot(17)^{-12}=(17)^{2m-1}[/tex]

Also,[tex]x^ax^b=x^{a+b}[/tex]

So,

[tex]17^{3-12}=17^{2m-1}\\\\17^{-9}=17^{2m-1}\\\\\implies -9=2m-1\\\\-9+1=2m\\\\-8=2m\\\\m=-4[/tex]

So, the value of m is equal to -4.

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{128}{64}[/tex] = 2 , then

[tex]a_{n}[/tex] = 64 [tex](2)^{n-1}[/tex] → B

Answer:

b).

[tex]{ \tt{a _{n} = a( {r}^{n - 1} )}} \\ { \tt{a _{n} = 64( {2}^{n - 1}) }}[/tex]

Answer:

All real numbers

Step-by-step explanation:

The range is whatever the output can be. In this case, the output is y. Because the line is going through all numbers vertically, and arrows are going up and down, we can say that the line is going through all y values. Therefore, the range is all real numbers

Answer:

C Infinitely many solutions

Step-by-step explanation:

i think! Good luck!!

Step-by-step explanation:

8.4 is the ans

4x+8y=40

4x + 6.4=40

4x=40-6.4

4x=33.6

x=33.6÷4

x=8.4

Answer:

4x+8y=40

4x+(8+0.8)=40

4x+6.4=40

4x+6.4-6.4 =40-6.4

4x=33.6

4x÷4=33.6÷4

X=8.4

oh my god you are such a god level hut

Answer:

A.36°

Step-by-step explanation:

65°+79°+X=180°

144+X=180°

X=180°-144°

X=36°

Answer:

You need to convert all the units to one unit

With ASA, we need two angles and an included side. An included side is one that is between the two angles.

But, we need to make sure the sides match up. So, triangle KJI is congruent to triangle ZYX.

Therefore, we need to know that side JI is congruent to YX.

Hope this helps!

Answer:

5:15 simplified as 1:3

Step-by-step explanation:

Answer:

$40000

Step-by-step explanation:

The nearest thousand dollar is rounding the thousand value from its hundred value, which in this case is 4. Since 4 is less than half of 10, the thousand value must round down to $40000.

Answer:

$40000.00

Step-by-step explanation:

Report this answer if its incorrect ^_^

Answer:

53 degrees

Step-by-step explanation:

Angle N = angle E

because angle made by joining end points of same chord on circumference are always equal.

so angle E = 37

Angle D = 90 ( because angle made by diameter on circumference is 90 degrees)

Now in Triangle DEC. Sum if all the angles of triangle us 180

Angle D + angle E + ? = 180

37 + 90 + ? = 180

127 + ? = 180

? = 180 - 127

? = 53 degrees

Answer:

Step-by-step explanation:

as angles of two triangles are equal, so they are similar.

x/17 =35/14=40/16

x/17=35/14

x=35/14×17=85/2=42.5

perimeter of ΔJKL=40+35+42.5=117.5

Answer:

l

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

it doesn't match the other  but is 2  

Hello!

What is the function rule the line?

f(x) = 2/3x - 2

Good luck! :)

Answer:

Solution given:

Relationship base and hypotenuse is given by Cos angle

Now

Cos 60°=adjacent/hypotenuse=x/12

1/2=x/12

x=12/2

x=6

the value of x is 6.

Answer:

C

Step-by-step explanation:

What you wrote is not the same thing as what the question is, or at least I don't think so. I'll answer the printed question.

First of all, the 13 is what separates each of the terms. In other words 7 is the first term. 13 must be raised to the n - 1 power.

It is written like this

an = 7 * 13^(n - 1)

you want a1 to be 7. The only way that can happen is if 13^0 which gives you 1.

So the correct answer is C

Answer:

Step-by-step explanation:

If the table and ground are to be parallel then,

45° + x = 180° [Co-interior angles]

=> x = 180 - 45

=> x = 135° (Ans) (Option A)

Answer:

Simplify the expression.

Exact Form:

1 /2

Decimal Form:

0.5

Answer:

The Answer is

Fraction Form: 1/2

Decimal Form: 0.5

Percentage form: 50%

Step-by-step explanation:

I got the answer 1/2 by Adding 1 by 2/3, And then after that I got the answer 2/3 and with that I multiplyied it with 3/4 and I got 1/2

Answer:

a. Yes it's correct, reasons;

I) let x=1, f(1)=2^1=2, g(x)=1^2=1 this proves that when a higher number is used the value of f(x) will be higher than g(x).

ii) As x approaches zero f(x) approaches 1, but g(x) approaches 0. Which will make the rate at which the graph of f(x) increase be faster than g(x)

b. f(x) has an infinite degree but g(x) has a finite degree of 2.

Answer:

Programmed

Step-by-step explanation:

Programmed Decisons may be classified as those actions which are routinely carried out or performed based on existing rules and protocol. In programmed decision making, the rules are in place, therefore once the criteria or requirement for which the rule or routine is to be enforced arises, programmed Decisons are made. In the scenario, the superintendent required that a programmed Decison be made in cases or situations where enrollment increases by 35 student beyond capacity, Hence, with this, every time this occurs the additional teachers will be hired.

The question seems incomplete ; as the total number of tickets to be sold isn't given.

Answer:

61 / X

Step-by-step explanation:

Let's take the total Number of tickets to be sold as : X

Number of tickets sold on Thursday = 47

Number sold on Friday = 14

Fraction of tickets available for sale on Saturday :

(Total number of tickets already sold) / Total number of tickets to be sold

(Thursday + Friday sales) / total number of tickets to be sold

Fraction available for sale on Saturday = (47+14) / X

Fraction available for sale on Saturday = 61 / X

Kindly put value of x = total number of tickets available for sale to get the exact fraction.

Let the Vertices of the  Δ  be  A , B ,  and  C

We will follow the Usual Notation for  Δ A B C ,  e.g., the side

opposite to the Vertex  A  will be denoted by  a , m ∠ A = A ,  etc.

In this notation, let us assume that,

a = 32 , b = 35 , & , C = 120 ° & we have to find  c

Using Cosine-Rule for  Δ A B C , we have,  

c²= a²+b² - 2 ab cos C = 32 ²+35² - 2 x 32 x 35 x cos 120° =

1024 + 1225 − 2240  cos ( 180 °− 60 °) = 2249 - 2240(-cos 60°)

2249+ 2240 (1/2)= 2249 + 1120=  3369

Answer: C= √3369 is about 58.04

Answer:  58.043087 (approximate)

===================================================

Explanation:

Refer to the diagram below. We can use the law of cosines to solve for c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 32^2 + 35^2 - 2*32*35*cos(120)

c^2 = 3369

c = sqrt(3369)

c = 58.043087 which is approximate

Round this value however you need to.

Answer:

If two angles have common side and they shares common vertex, they are called adjacent angles.

When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.

Two angles shown in diagram are adjacent as they are on common side.

Both the angles are on a straight line, hence

Subtracting 109 from both sides

Both angles shown in diagram are opposite to each other, hence vertical angles.

As they are opposite to each other, they both are equal.

Subtracting x from both sides

Subtracting 1 from both sides

Both angles are having a common side means they are adjacent angles.

As they are on straight line, both angles will add up to 180 °.

Subtracting 96 from both sides

Dividing from 6 in both sides

Hope it will help :)

Answer:

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}= \frac{a^3 + bcd}{ad^2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}[/tex]

Required

Simplify

We have:

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}[/tex]

Cancel out [tex]c^2[/tex]

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}= \frac{a^2}{d^2}+\frac{bc}{ad}[/tex]

Take LCM

[tex]\frac{a^2*c^2}{c^2*d^2}+\frac{bc}{ad}= \frac{a^3 + bcd}{ad^2}[/tex]

Answer two 20p coins make 40p

Step-by-step explanation:

Answer:

20 number of 20p makes £4.

Step-by-step explanation:

Let the number of 20p be x

Therefore,

                [tex]x \times 0.20 = 4\\\\x = \frac{4}{0.20} = \frac{4 \times 100}{ 20} = 4 \times 5 = 20[/tex]