T + 3 = 17 - 5. T =?

Answer:

Step-by-step explanation:

If the questions  is    "What's x" then the answers is...

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use CAH

Cos(x) = 46/60

x = arcCos(46/60)

x = 39.9445 °

Answer:

[tex]\displaystyle 40°[/tex]

Step-by-step explanation:

[tex]\displaystyle sec^{-1}\:1\frac{7}{23} = x; 39,94450519...° \\ \\ \boxed{40° \approx x}[/tex]

OR

[tex]\displaystyle cos^{-1}\:\frac{23}{30} = x; 39,94450519...° \\ \\ \boxed{40° \approx x}[/tex]

I am joyous to assist you at any time.

Answer:

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Step-by-step explanation:

Suppose that we have a set of N elements in a bag (if the bag is closed and we put our hand inside to grab one element, we could not distinguish them apart), and K of these elements have a given property (for example, these are red).

The probability of selecting at random one of these red elements is equal to the quotient between the number of elements with that property (K) and the total number of elements in the bag (N)

P = K/N

Now let's go to our problem.

We have 24 1p coins.

We have X 2p coins.

Then the total number of coins is: (24 + X)

We know that the probability of choosing at random a 2p coin is then:

P = X/(24 + X)

And we know that this is equal to 1/2

Then:

X/(24 + X) = 1/2

X = (1/2)*(24 + X) = 24/2 + X/2

X = 12 + X/2

X - X/2 = 12

X/2 = 12

X = 2*12 = 24

Then Aisha has 24 2p coins.

Aisha has 24 2p coins and 24 1p coins, then she has in total:

2p*(24) + 1*p*(24) = 48p + 24p = 72p

Answer: 8 + 4x = 30

Step-by-step explanation:

Since the admission fee to a state fair is $8.00 and each ride costs an additional $4.00. This can be represented in an equation as:

= 8 + 4x

where x = number of rides

Since Karen only has $30.00, the inequality that could be used to determine the number of rides, x, Karen can go on will be:

8 + 4x = 30

We can further solve the equation which will be:

8 + 4x = 30

4x = 30 - 8

4x = 22

x = 22/4

x = 5.5

She can go on 5 rides

Answer:

[tex]512\pi[/tex]

use the formula

Answer:

5670 [tex]cm^{3}[/tex] will be your answer!

Step-by-step explanation:

21 x 18 x 15 = 5670

Answer:

[tex]\angle c[/tex] and [tex]\angle e[/tex]

Step-by-step explanation:

Given

See attachment

Required

Identify the vertical angles

Keynotes

Using the keynote as a reference, we have the following observation from the attachment:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are opposite

[tex]\angle c[/tex] and [tex]\angle e[/tex] are congruent

Hence:

[tex]\angle c[/tex] and [tex]\angle e[/tex] are vertical

(d) is correct

Answer:

y = -3

Step-by-step explanation:

4x – 3y = 17

x = 2

4(2) - 3y = 17

8 - 3y = 17

-3y = 9

y = -3

Answer:

y= -3

Step-by-step explanation:

if x =2, substitute

4(2) - 3y = 17

8-3y = 17

(add 3y to both sides)

8= 17 + 3y

(subtract 17 from both sides)

8-17=3y

-9= 3y

(divide both sides by 3)

-9/3=y

y= -3

Answer:

x = 47.5

Step-by-step explanation:

5 times 5 = 25

9 times 5 = 45

45 divided by 2 = 22.5

25 + 22.5 = x

x = 47.5

Answer:

x=2, x=a

Step-by-step explanation:

Answer:

-10 would be correct

Step-by-step explanation:

-10

Answer:

[tex] - 12288 \div {2}^{11} = - 6 \\ forth \: answer \: is \: correct[/tex]

Answer:

4th option

Step-by-step explanation:

The nth term of 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

To find a₁ use a₁₂ = - 12288 , then

a₁ [tex](2)^{11}[/tex] = - 12288 , that is

a₁ × 2048 = - 12288 ( divide both sides by 2048 )

a₁ = - 6

Then the explicit formula is

[tex]a_{n}[/tex] = - 6 . [tex]2^{n-1}[/tex]

Answer:

D

Step-by-step explanation:

Answer:

The new coordinate after translating the figure are : (- 1 , -2)

Step-by-step explanation:

By using the following a translation mapping rule for this problem:

( x,y) → (x -2, y - 5)

Answer:

x=3

Step-by-step explanation:

Solve for  x  by cross multiplying.

Step-by-step explanation:

If x=3, y=7 when x+y=z

z=3+7

z=10

What is the value of this expression when c = -4 and d = 10 ? [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) where c = -4 and d = 10

The value of the expression [tex] \frac{1}{4} [/tex] (c³ + d²)

[tex] \frac{1}{4} [/tex] (c³ + d²) [Given expression]

Now, putting the value of c = -4 and d = 10 , we get,

[tex] \frac{1}{4} [/tex] { (-4)³ + (10)² }

[tex] \frac{1}{4} [/tex] ( -64 + 100 )

[tex] \frac{1}{4} [/tex] ( 36 )

[tex] \frac{1}{4} [/tex] × 36

[tex] \bf = \: 9 \: ( Answer ) [/tex]

Answer:

12

Step-by-step explanation:

The computation of the volume of the rectangular prism is shown below:

As we know that

The  volume of the rectangular prism is

= length × width × height

where

Length is 2

width be 2

And, the height be 3

So, the  volume of the rectangular prism is

= 2 × 2 × 3

= 12

Answer:

31.97% (rounded to the nearest hundredth)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Median basically means middle. So when you get a set of numbers, put them in order from least to greatest. This leaves us with ( 6  8  12 * 12  12  16 ). Now, we have to find the middle number (shown by *), but because this is an even amount of numbers (no defined middle), we take the two numbers in the middle, which would be the two 12's. If these were different numbers, we would add them together and then divide by two to get the median, but that's unnecessary here. Your median will be 12!

Answer:

When finding median, first arrange the values in ascending or descending order.

Suppose I take the ascending order:

[tex]6 \: \: 8 \: \: 12 \: \: 12 \: \: 12 \: \: 16 \\ median = ( \frac{n}{2} + 1) ^{th} value \\ n = number \: of \: terms = 6 \: digits \\ = ( \frac{6}{2} + 1) {}^{th} \: value \\ = 4 {}^{th} value \\ from \: the \: values 4 {}^{th} value = 12 \\ median = 12[/tex]

Answer:

D = 31 mm

Step-by-step explanation:

The area of a circle, A = 240.25π sq mm

We need to find the diameter of a circle.

The formula for the area of a circle is given by :

[tex]A=\pi r^2\\\\r=\sqrt{\dfrac{A}{\pi}}[/tex]

If D is the diameter of the circle, D = 2r

So,

[tex]\dfrac{D}{2}=\sqrt{\dfrac{A}{\pi}} \\\\D=2\times \sqrt{\dfrac{A}{\pi}} \\\\=2\times \sqrt{\dfrac{240.25\pi }{\pi}}\\\\=2\times 15.5\\\\=31\ mm[/tex]

So, the diameter of the circle is equal to 31 mm.

Answer:

Step-by-step explanation:

#1

a²x² - b²y² = (ax + by)(ax - by)

Since (4x - 3y) is one of the factors, we have:

The value of a² + b² is:

#2

x² + 19x + c, has a factor of (x + 7).

It means the equation:

Sum of the roots:

Product of the roots:

Step-by-step explanation:

Given that,

[tex]f(x)=-2x^{-3}\ ......(1)\\\\g(x)=-2x-3\ ......(2)[/tex]

Put x = -2 to find f(-2) in equation (1).

[tex]f(-2)=-2(-2)^{-3}\\\\=\dfrac{1}{4}[/tex]

Put x = 5 to find g(5) in equation (2).

So,

[tex]g(5)=-2(5)-3\\\\=-13[/tex]

Hence, f(-2) = 1/4 and g(5) = -13.

Answer:

7x (y + 6)

x(7 y + 42)

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

no soloutions have the same slope but different intercepts so it cannot be d because the slopes are different.