Expressed answers As reduced fraction. Find the trig value.
Tan A=

Answer:

c

Step-by-step explanation:

Answer:

a y a r d = a 2 y r d a y a r d = a 2 y r d

Step-by-step explanation:

Answer:

[tex]0.2 = \frac{2}{10} = \frac{2}{10 ^{1} } = 2 \times {10}^{ - 1} \\ 0.03055 = \frac{3055}{100000} = \frac{3055}{ {10}^{5} } = 3055 \times {10}^{ - 5} \\ 0.2 \times 0.03055 = 2 \times {10}^{ - 1} \times 3055 \times {10}^{ - 5} \\ = 2 \times 3055 \times {10}^{ - 1 + ( - 5)} \\ = 2 \times 3055 \times 10^{ - 1 - 5} \\ = 2 \times 3055 \times {10}^{ - 6} \\ = 6110 \times {10}^{ - 6} \\ = \frac{6110}{ {10}^{6} } \\ = \frac{6110}{1000000} \\ = 0.006110[/tex]

The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, let we had:

R numbers of red counters, and G number of green counters originally.

Then, total counters in the bag originally = R +G

One counter out of R+G counters can be chosen in R+G ways. But one green counter out of R+G counters can be chosen in G ways.

Thus, probability of taking green counter out in one random picking is:

[tex]\dfrac{G}{R + G}[/tex]

It is given that this probability is 4/9. Therefore, we get:

[tex]\dfrac{G}{R+G} = \dfrac{4}{9}\\\\\\9G = 4R + 4G\\\\5G = 4R[/tex](first equation)

When 4 more red counters and 2 more green counters were added, then:

One counter out of R+G+6 counters can be chosen in R+G+6 ways. But one green counter out of R+G+6 counters can be chosen in G+2 ways (since there are G+2 green counters in the considered bag) ways.

Thus, probability of taking green counter out in one random picking is:

[tex]\dfrac{G+2}{R + G+6}[/tex]

It is given that this probability is 10/23. Therefore, we get:

[tex]\dfrac{G+2}{R+G+6} = \dfrac{10}{23}\\\\\\23G + 46 = 10R + 10G + 60\\\\13G = 10R + 14[/tex](second equation)

Thus, we got a system of two linear equations as:

[tex]5G = 4R\\13G = 10R + 14[/tex]

From first equation, getting the value of G in terms of R,

[tex]G = \dfrac{4R}{5}\\[/tex]

Now, substituting this with G in the second equation, we get:

[tex]\\13\left(\dfrac{4R}{5} \right) =10R + 20\\\\52R = 50R + 20\\2R = 20\\R = 10[/tex]

From this value of R, and the value of G in terms of R, we get:

[tex]G = \dfrac{4R}{5}\\\\ = \dfrac{4 \times 10}{5} = 8[/tex]

Thus, R = 10 and G = 8.

Thus, the number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.

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Answer:

Is No Solution

Step-by-step explanation:

Answer:

1. 4x-4=24

2. 6-x+y=4

Step-by-step explanation:

Answer:

4x(7) - 4= 24

6 - 5 + 3 = 4

Step-by-step explanation:

Answer:

[tex]x=-4,\:x=-\frac{1}{5}[/tex]

Step-by-step explanation:

The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:

[tex](-5x-1)(2x+8)=0[/tex]

When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:

[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]

Form the given function lesser x value is -4 and the greater x value is -1/5.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

The given function is g(x)=(-5x -1)(2x +8)

Now, (-5x -1)(2x +8)=0

(-5x -1)=0 and (2x +8)=0

-5x=1 and 2x=-8

x=-1/5 and x=-4

Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.

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Answer:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Step-by-step explanation:

The required fill-in-the-blank below as:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given in question as:

RS ⊥ ST

RS ⊥ SQ

∠STR = ∠SQR

To prove:

△RST ≅ △RSQ

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Hence, △RST ≅ △RSQ

Thus, the required fill-in-the-blank above is in the solution.

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Answer:

Slope = -1/4

Y-intercept = 50

Step-by-step explanation:

Change in y/ change in x = slope

75/-100 = -1/4

For y, the numbers decrease 25 each time so the change in y is -25.

For x, the numbers increase 100 each time so the change in x would be 100.

The fraction you have left is -25/100

Now, you simplify -25/100 and you get -1/4.

The y-intercept is 50 because x is 0 at the same time in the chart.

Answer: Because if you think about it it would be 4 because of the fact that it is in the middle of 1-8. So there is a higher chance to land on 4 than any other number.

Step-by-step explanation:

The experimental probability of the spinner stopping on the number 4 is 1/25.

Experimental probability is a probability that is determined on the basis of a series of experiments.

A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial.

Given that, a spinner with the numbers 1 through 8 is spun 25 times.

we need to find the experimental probability of the spinner stopping on the number 4

So,

Experimental Probability =

P(E) = Number of times an event occurs / Total number of trials.

Number of times an event occurs = 1

Total number of trials = 25

Therefore,

P(E) = 1/25

Hence, the  experimental probability of the spinner stopping on the number 4 is 1/25.

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Answer:

B

Step-by-step explanation:

On a graph you go rise over run (or Y divided by X) which in this equation is 1 divided by 2 which equals 1/2. You also need to look at what number is being crossed on the y axis, which in this case is 1. Slope intercept form is y=mx+b with m being the slope (1/2) and b being the y intercept (1)

Answer:

B. y = 1/2x + 1

Step-by-step explanation:

I went ahead and graphed each of the answer options for you and when I graphed for B it gave me:

Answer:

(-4,1)

Step-by-step explanation:

you can choose any point on the line

Answer:

AB, CB, AC

Step-by-step explanation:

All the angles in a triangle added up equal 180 degrees

Start by finding the measure of angle A

A + 86 + 27 = 180

A + 113= 180

A = 67 degrees

Now order them

86 is greater than 67 and 27 so B is the greatest

27 is less than 86 and 67 so C is the smallest

67 is less than 86 but greater than 27 so A is in the middle

Now for the sides..

AB is opposite angle C so it's the shortest

CB is opposite angle A so it's in the middle

AC is opposite angle B so it's the longest

I hope this helps!!!

Answer:

are u really done this one or not I help U okay salamat

Answer:

She has 17 turtles

Step-by-step explanation:

You have to divide 102 by 6 which equals 17.

Answer:

8 16

Step-by-step explanation:

3/16+5+16=8/16

16/16(the whole mug)-8/16=8/16

Answer:

8 16

Step-by-step explvanation:

Answer:

A single taco costs $1.31

A single quesadilla costs $2.89

Step-by-step explanation:

Let's suppose that:

T is the price of a single taco.

Q is the price of a single quesadilla.

Thelma ordered 2 tacos and 1 quesadilla, and she paid $5.51, this can be written as:

2*T + 1*Q = $5.51

And we know that Louise ordered 2 quesadillas and 1 taco, and she paid $7.09, this can be written as:

1*T + 2*Q = $7.09

Then we have a system of equations:

2*T + Q = $5.51

T + 2*Q = $7.09

To solve this, we first need to isolate one of the variables, let's isolate T in the second equation:

T = $7.09 - 2*Q

Now we can replace this in the first equation:

2*($7.09 - 2*Q) + Q = $5.51

Now we can solve this for Q.

2*$7.09 - 2*(2*Q) + Q = $5.51

$14.18 - 4*Q + Q = $5.51

$14.18 - 3*Q = $5.51

$14.18 - $5.51 = 3*Q

$8.67 = 3*Q

($8.67)/3 = Q

$2.89 = Q

This means that the price of a single quesadilla is $2.89

Now we can use the equation:

T + 2*Q = $7.09

T + 2*($2.89) = $7.09

T + $5.78 = $7.09

T = $7.09 - $5.78 = $1.31

The price of a single taco is $1.31

Answer: D. 1/3 x 16

Step-by-step explanation:

Answer:

A. 4.4652 square meters

B. $125.03

Step-by-step explanation:

A countertop is 16 feet long and 3 feet wide.

A. Calculation for What is the area of the countertop in square meters

First step is to calculate to convert 16 feet long length to meters and 3 feet wide length to meters

Since 1 meter=3.28 Feet

Hence,

Meters=16 feet long /3.28 Feet

Meters=4.88 meters

Meters=3 feet wide/3.28 Feet

Meters=0.915 Meters

Now let calculate the area of the countertop in square meters

Area of the countertop=4.88 meters*0.915 Meters

Area of the countertop=4.4652 square meters

B. Calculation for How much will it cost to cover the countertop with new tile

Total cost=$28*4.4652 square meters

Total cost=$125.03

Therefore How much will it cost to cover the countertop with new tile is $125.03

Answer:

13/8 of the chocolate will be left altogether.

Step-by-step explanation:

Given that,

Abey and Anoki are eating chocolate bars. The bars are the same size.

Abey left 3/4 of chocolate and Anoki left 7/8 of chocolate.

Left amount = Abey left amount + Anoki left amount

[tex]=\dfrac{3}{4}+\dfrac{7}{8}\\\\=\dfrac{3(2)+7(1)}{8}\\\\=\dfrac{6+7}{8}\\\\=\dfrac{13}{8}[/tex]

Hence, 13/8 of the chocolate will be left altogether.

Answer:

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

Answer:

40

Step-by-step explanation:

3 x 8 = 24

5 x 8 = 40

Answer:

b,c,d,f

Step-by-step explanation:

[tex]perimeter=2(3\sqrt{8} +4\sqrt{20} +2\sqrt{24} ) \\=2(3\sqrt{8} )+2(4\sqrt{20} +2\sqrt{24} ) \\=6\sqrt{8} +8\sqrt{20} +4\sqrt{24} \\=6.8^{\frac{1}{2} } +8.20^{\frac{1}{2} } +4.24^{\frac{1}{2} } \\or~ =12\sqrt{2} +16\sqrt{5} +8\sqrt{6} \\[/tex]

Answer:

It is positive 3

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Any numbers inside the absolute value are always positive, so in this case, 12 is 12, and -15 is 15.  Add these numbers to get 27 as your answer.