The card you pick from a normal pack is from a red suit​

Answer:

B

Step-by-step explanation:

We want to find RX.

Note that RX is adjacent to ∠X and we also know the side opposite to ∠X.

Thus, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan\theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Substitute:

[tex]\displaystyle \tan6^\circ = \frac{8}{RX}[/tex]

Take the reciprocal of both sides:

[tex]\displaystyle \frac{1}{\tan6^\circ}= \frac{RX}{8}[/tex]

Multiply both sides by 8:

[tex]\displaystyle RX = \frac{8}{\tan6^\circ}[/tex]

Use a calculator (make sure you're in Degrees mode!):

[tex]\displaystyle RX\approx 76.1149[/tex]

Hence, our answer is B.

Step-by-step explanation:

the answer is in the graph above

use DESMOS app it helps

Answer:

D

Step-by-step explanation:

As the counter clockwise rule is A(x,y) becomes A'(-y,x).

So (1, -6) becomes (6, 1)

Hope it helps you

t=46°

u=134°

v=23°

w=23°

Answer:

Solution given;

v=w [base angle of triangle]

<SPQ+<SRQ=180°[sum of opposite angle of a cyclic quadrilateral is 180°]

81+v+53+w=180°

134°+v+v=180°

2v=180°-134°

v=46/2

v=23°

w=v=23°

In triangle ∆ PQR

v+w+u=180°[sum of interior angle of a triangle]

23+23+u=180°

u=180°-46°

u=134°

again

In triangle ∆ PSR

t+81+53=180°

t=180°-134°

t=46°

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

v and w are equal as opposite angles to equal sides.

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when [tex]t > 0[/tex]

Profit after t months:

[tex]P(t) = t^4 - 10t^3 + 28t^2 - 24t[/tex]

0 months:

This is P(0). So

[tex]P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0[/tex]

1 month:

This is P(1). So

[tex]P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5[/tex]

2 months:

This is P(2). So

[tex]P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0[/tex]

3 months:

This is P(3). So

[tex]P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9[/tex]

4 months:

This is P(4). So

[tex]P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32[/tex]

5 months:

This is P(5). So

[tex]P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45[/tex]

6 months:

This is P(6). So

[tex]P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0[/tex]

7 months:

This is `P(7). So

[tex]P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175[/tex]

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check https://brainly.com/question/24231879

Answer:

first do:

60mph * 4 hours= 240mi

Let D = the distance the passenger train has to  

travel to catch the freight train

Start a stopwatch when the passenger train leaves

Let t = the time on the stopwatch when they meet

Equation for freight train:

d-240=60t

Equation for passenger train:

d=100t

all together:

100t-240=60t

we can do 100t-60t because they both have (t)= 40t

40t=240 *now divide 240 by 40= 6

THEN do:

D= 100mph x 6= 600mi

They will meet 600 mi from the station

to check:

d-240=60t x 6

600-240= 360

60 x 6= 360

360=360

Answer:

The events are independent and are not mutually exclusive.

Step-by-step explanation:

Two events A and B are independent if the outcome of each of them does not affect the outcome of the other.

And two events are mutually exclusive if these can't occur at the same time.

Here the events are:

a = rolling a 4 on the first die

b = rolling a 3 on the second die.

Becuase, these are number cubes, we know that the outcome of one die has no impact in the outcome of the other die.

And because each outcome is on a different die, we can conclude that these events are independent.

(rolling a 4 in the first die does not change the probability of getting a 3 when we roll the second die).

Now, the events are mutually exclusive?

No, we can roll both dices and get a 3 in the first one and a 4 in the second one, so these events can happen in the same time.

Answer:

YES.

Step-by-step explanation:

The event rolling a number '4' and the event rolling a number '3' are mutually exclusive events because both of them cannot occur at the same time.

Just took quick check

Answer:

D

Step-by-step explanation:

25×5=125

I hope it helps

Answer:

Step-by-step explanation:

-7q+12r=3q-4r

-10q=-16r

r=(5/8)q

I think its correct

Answer:

r = 5/8(q)

Step-by-step explanation:

−7q + 12r = 3q − 4r

Add 4r to both sides:

−7q + 12r + 4r = 3q − 4r + 4r

−7q + 16r = 3q

Add 7q to both sides:

−7q + 16r + 7q = 3q + 7q

16r = 10q

Divide both sides by 16:

(16r)/16 = (10q)/16

r = 5/8(q)

Answer:

b

Step-by-step explanation:

Answer:

f(f(-1)) = 0

Step-by-step explanation:

Ok I'm assuming that's supposed to be a chart of some kind.  So first, you have to find what f(-1) is according to the chart.  

According to the chart, if x = -1, then f(-1) is -5

Now comes the next part of the equation.  So you need to find f(-5)

-5 was already founded by f(-1) bc it's first in the parantheses.

f(-1) is -5

so we need to find f(-5)

According to the chart f(-5) is 0

So ur final answer is gonna be 0

Answer:

Yes. It represents [tex]m = h + 1000[/tex] (where h is hours of training and m is monthly pay).

Answer:

Yes, because 1 & 2 have to be the same

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Supplementary means 180 degree.

∠1 + ∠3 = 180 ----> eq. 1

∠2 and ∠3 are linear pair angles which are also supplementary.

∠2 + ∠3 = 180 ----> eq. 2

∠3 = 180 - ∠1 ----> eq. 3

( from eq. 1 )

∠3 = 180 - ∠2 ----> eq. 4

( from eq. 2 )

From, eq. 3 and eq. 4,

180 - ∠1 = 180 - ∠2

Subtract 180 on both sides.

180 - 180 - ∠1 = 180 - 180 - ∠2

- ∠1 = - ∠2

Multiply - 1 on both sides,

∠1 = ∠2

Since,

∠1 = ∠2

Sides opposite to them also equal

So, AC = BC

If any two sides in a triangle is equal, then the triangle is an isosceles triangle.

Therefore,

Δ ABC is isosceles.

Answer: 29152332 ≡ 0 (mod 3)

Step-by-step explanation:

In modular arithmetic, there is the form a ≡ b (mod m) where b is the remainder.

To solve this problem, we want to divide 29152332 by 3 and find the remainder.

29152332 ÷ 3 = 9717444

Since we get an integer with no remainder, we know the answer is 29152332 ≡ 0 (mod 3).

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

Answer:

The length of the segment is 10.

Step-by-step explanation:

Think of the segment as the hypotenuse of a right triangle.

Draw the legs and label the lengths.

See the picture below.

The length of the hypotenuse is c.

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100

c = 10

Answer: 10

Answer:

2

Step-by-step explanation:

f(x)=x^2+1

now,

f(1)=1^2+1

=1+1

=2

Answer: hello your question is poorly written below is the complete question

Let L be the set of all lines in XY plane and R be the relation in L defined as R = {(L1, L2): L1 is parallel to L2}. Show that R is an equivalence relation. Find the set of all lines related to the line y = 2x + 4.

answer:

a ) R is equivalence

b) y = 2x + C

Step-by-step explanation:

a) Prove that R is an equivalence relation

Every line is seen to be parallel to itself ( i.e. reflexive ) also

L1 is parallel to L2 and L2 is as well parallel to L1 ( i.e. symmetric ) also

If we presume L1 is parallel to L2 and L2 is also parallel to L3 hence we can also conclude that L1 is parallel to L3 as well ( i.e. transitive )

with these conditions we can conclude that ; R is equivalence

b) show the set of all lines related to y = 2x + 4

The set of all line that is related to y = 2x + 4

y = 2x + C

because parallel lines have the same slopes.

Answer:

720

Step-by-step explanation:

Using the equation given

[tex]\frac{6!}{(6-6)!}=\frac{6!}{0!}=\frac{6!}{1}=720[/tex]

Answer:

You need to know that pairs of two angles are congruent and the pair of sides adjacent to one of the given angles are congruent

Answer:

The 3 cyclists will meet at the starting point again after 150 minutes.

Step-by-step explanation:

Since they start at the same point but then take different times to each route, then to find the first time they will each meet at the starting point, we have to find the lowest common multiple (LCM).

Let's use prime factorization to get it.

Prime factorization of 10 = 2 × 5

Prime factorization of 15 = 3 × 5

Prime factorization of 25 = 5 × 5

Thus,super set = 2, 3, 5, 5

Thus,LCM = 2 × 3 × 5 × 5 = 150

Thus,the 3 cyclists will meet at the starting point again after 150 minutes.

Answer:

9/16xy

Step-by-step explanation:

Multiply through by 3/4

(3/4xy) × (3/4)

numerator =(3×3) = 9

denominator = (4×4) = 16

Simplifying = 9/16xy

Answer:

B

Step-by-step explanation:

- Divide the base by 2

10 / 2 = 5 in

- multiply by √3

5√3 in

Answer:

D

Step-by-step explanation:

because the new number is changing to a new and all old is ready.

Answer:

Population - - > Sampling Frame - - > Sample - - > Individual being surveyed

Step-by-step explanation:

Population is the largest as they include all units or subject of interest in a particular study or experiment. Next is the sampling frame which is the a list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.

The sample is a subset of the population of population, usually selected at random and it is representative of the population.

The individual surveyed represents a single subject or observation from the chosen sample.

Answer:

A

Step-by-step explanation:

From what we have , it is expected that the parent function is a v-shaped graph that starts from the origin

The expected equation parent function should be;

y = |x|

Now, moving on, the transformed function is 1/2 of the parent function

This shows a direct compression of the initial partner function

So, it is expected that the transformed function is more compressed compared to the initial parent function

so, the correct choice of answer here is first option

The Answer is Graph D

You can see the graph number on the top left corner of each multiple-choice graph.

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr====yzzzdccccccccccccc

Step-by-step explanation:

Answer:

126,000

Step-by-step explanation:

150,000 * .15 = 22,500

150,000 - 22,500= 127,000

127,000 - 1500 = 126,000

Step-by-step explanation:

b varies as √c

b=kc

divide both side by c

k=b/c

k=100/4

k=25

the equation is:

25=b/c