Triangles ABC and DFG
are similar.
4 in.
24 in.
3 in.
18 in.
с
6 in.
Which proportion can be used to find
the length of DG?
A
G
18
DG
DG
=
3
18
6
DG
=
6
3
O
18
24
DG
=
6

Answer:

fifth option is the correct ans

sin(thita) = -sqare root 2 / 2

The statements which are true are,

The measure of reference angle is 45° and tan (θ) = -1.

Reference number associated with t is defined as the shortest distance from the x axis to the terminal point t, along a unit circle.

Reference angle is shortest angle measure from the X axis to the terminal side of the angle.

Reference angle = 2π - 7π/4 = π/4 = 45°

We have,

7π/4 = 2π - π/4

We also know that,

cos(2π - x) = cos x,

sin (2π - x) = -sin x

tan (2π - x) = -tan x

So, using theses identities,

cos (7π/4) = cos (2π - π/4) = cos(π/4) = 1/√2

sin (7π/4) = sin (2π - π/4) = -sin (π/4) = -1/√2

tan (7π/4) = tan (2π - π/4) = -tan (π/4) = -1

Hence the true statements are The measure of reference angle is 45° and tan (θ) = -1.

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Answer:

16

Step-by-step explanation:

4 + (4 * 2) + [tex]2^{2}[/tex] = y

16 = y

Answer:

x=2,y=16

Step-by-step explanation:

4+4(2)+2^2=y      Put the x value where it belongs

4+8+2^2=y             Now do 2*2 (two to the power of two)

4+8+4=16

16=16

Answer:

11, 17, 29, 65

Step-by-step explanation:

Rrplace x with values on the x colon

Answer:

Column 1 (When x = 1): y = 11

Colum 2(When x = 2): y = 17

Column 3(When x = 4): y = 29

Colum 4(When x= 10): y = 65

Step-by-step explanation:

When x = 1; y = 6(1) + 5

              => y = 6 + 5

             => y = 11

When x = 2; y = 6(2) + 5

               => y = 12 + 5

              => y = 17

When x = 4;  y =  6(4) + 5

                => y = 24 + 5

                => y = 29

When x = 10; y = 6(10) + 5

                => y = 60 + 5

                => y = 65

Hope this helps!

Answer:

1 4/5

Step-by-step explanation:

Convert 1/2  to tenths.  1/2 = 5/10  which reduces back to 1/2

borrow 1 from the 6 to make 5/10 greater than 7/10

5/10 + 10/10 = 15/10

The 6 1/2  has become 5 and 15/10

5 15/10      Subtract 4 7/10

4  7/10              

1  8/10       Reduce the fraction by dividing top and bottom by 2

1 4/5    

Also possible is

6.5  

4.7          Subtract

1.8

Answer:

75.5

Step-by-step explanation:

Using trigonometry

Arccos(2/8)

Answer:

8.25

Step-by-step explanati

Answer:

904.32 ft^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

4/3 x 3.14 x 6^3 = 904.32 ft^3

Answer:

16.7%

Step-by-step explanation:

Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:

5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36

And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.

Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%

Answer:

maybe 28 square feet

Step-by-step explanation:

maybe 28 square feet

Answer:

5n + 1

Step-by-step explanation:

Increase by 5.

Variable term is 5n.

Number term is +1

5n + 1 :)

Hope this helps!

Answer:

Tn=5n+1

Step-by-step explanation:

T9=5*9+1

T9=45+1

T9=50

Answer:

(z - 4) (x - 9)

− 4 x  +  z  − 9

(k + 6) (k - 7)

k^2 - k - 42

(y - 5) (y + 5)

y^2 - 25

Answer:

40 degrees

Step-by-step explanation:

Since we have the diameter included in the triangle, the angle at B is 90

This is because angle at center is two times the angle at the circumference

Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees

Now, let us use the measure of the arc given

The angle at C is half of 100 which makes it 50

This is according to an angle arc relationship

Lastly, the sum of angles in a triangle is 180 degrees

We already have two angles and we need the last

so we have to add what we have already and subtract from 180 to get the angle we are looking for

So we have the angle as 180-(90 + 50) = 180 -140 = 40

Answer:(-y/(1/2)) -x/(1/2)=1

Step-by-step explanation:

The coordinates of the focus of the parabola are (2, -1.9375)

The equation of the parabola is given as:

[tex]y = \frac 14x^2 - x - 1[/tex]

Express as a vertex form

[tex]y = \frac 14(x - 2)^2 - 2[/tex]

The focus of a quadratic function of the form [tex]y = a(x - h)^2 + k[/tex] is

Focus = (h, k + 1/4 a)

By comparing [tex]y = a(x - h)^2 + k[/tex] and [tex]y = \frac 14(x - 2)^2 - 2[/tex], we have:

a = 1/4

h = 2

k = -2

So, we have:

Focus = (2, -2 + 1/4 * 1/4)

Evaluate

Focus = (2, -1.9375)

Hence, the coordinates of the focus of the parabola are (2, -1.9375)

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Answer:

yo te AYUDO

Step-by-step explanation:

;)

Answer:

hola yo hablo español :D

Step-by-step explanation:

Hi there! We are given the expression:

[tex] \large \boxed{5 log_{4}(a) - 6 log_{4}(b) }[/tex]

To condense or simplify the following logarithm. You have to remember these properties:

Properties - Logarithm

[tex] \large{ log_{b}(a)^{n} = n log_{b}(a) } \\ \large{ log_{b}(a) - log_{b}(c) = log_{b}( \frac{a}{c} ) }[/tex]

These two properties are what we need for our problem. Therefore,

[tex] \large{ log_{4}(a)^{5} - log_{4}(b)^{6} }[/tex]

We use the log_b(a)^n = nlog_b(a) property to convert in the form above. Next, we use the second property.

[tex] \large{ log_{4}( \frac{ {a}^{5} }{ {b}^{6} } ) }[/tex]

Answer

Any questions can be asked through comment as I may reply soon. Thanks for using Brainly! Have a good day and happy learning! :)

Answer:

D at 8.8

im not sure brainliest please ok

Answer:

The answer is C at 8.1.

Step-by-step explanation:

To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.

Now, for the decimal part, use the following formula:

(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)

Then, put in the known information, which will look like:

(66 - 64)/(81 - 64) = 2/17 = 0.117

Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.

Answer:

The Median is 0.5

Step-by-step explanation:

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

Given:

An exponential function goes through points (0,12) and (3,6144).

To find:

The exponential function.

Solution:

The general exponential function is:

[tex]y=ab^x[/tex]           ...(i)

The function goes through point (0,12). Substituting [tex]x=0,y=12[/tex], we get

[tex]12=ab^0[/tex]

[tex]12=a[/tex]

The function goes through point (3,6144). Substituting [tex]a=12, x=3,y=6144[/tex] in the general exponential function, we get

[tex]6144=12b^3[/tex]

[tex]\dfrac{6144}{12}=b^3[/tex]

[tex]512=b^3[/tex]

[tex]512^{\frac{1}{3}}=b[/tex]

[tex]8=b[/tex]

Putting [tex]a=12,b=8[/tex] in (i), we get

[tex]y=12(8)^x[/tex]

Therefore, the required exponential function is [tex]y=12(8)^x[/tex].

Answer and Step-by-step explanation:

Solve for D.

Subtract 1 from both sides of the equation.

22 - 1 = -3d + 1 - 1

21 = -3d

Divide both sides by -3.

21 ÷ -3 = -3d ÷ -3

-7 = d

d is equal to -7.

#teamtrees #PAW (Plant And Water)

Answer:

an = 10(3^n-1)

Step-by-step explanation:

The explicit formula of a geometric sequence is written as:

an = ar^n - 1

Where

an = nth term

a = First term

r = common ratio

n = number of terms

Hence, an explicit formula to represent the geometric sequence with a first term of 10 and a common ratio of 3 is written as:

an = 10 × 3^n-1

an = 10(3^n-1)

Answer:

D: pieces

Step-by-step explanation:

The sentence tells us that remnants of metal and glass making have also been found. This means that there are some left over pieces of the metals and glass materials that were used that were found.

Thus, option D is the correct answer.

Answer:

The answer is 1/13

Step-by-step explanation:

42÷(13×6×7)

= 42÷546

= 1/13

Answer:

3rd one

Step-by-step explanation:

The correct graph which shows the line that best fits the data points given is shown in Option 3.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

To find correct graph which shows the line that best fits the data points.

Now, We know that;

The correct graph of line for the data points is contain almost every points.

Hence, We get;

The correct graph which shows the line that best fits the data points given is shown in Option 3.

Thus, The correct graph which shows the line that best fits the data points given is shown in Option 3.

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Answer:

0

Step-by-step explanation:

there is only blue marbles, yellow marbles, and red marbles. there are no purple marbles so you’d be unable to pull out a purple one no matter how many times you tried. so the probability would be 0

Answer:

150

Step-by-step explanation:

100 : 160 :: e : 240     proportion

160e = (100)(240)

160e = 24000

elves = 150

Answer:

150

Step-by-step explanation:

100 : 160 :: e : 240  

160e = (100)(240)

160e = 24000

elves = 150

Answer:

$353.75

0.05x + 300

Step-by-step explanation:

1075 x 0.05 = 53.75 + 300 = 353.75

0.05x + 300

Answer:

9 inches

Step-by-step explanation:

(x + 2)² = 121

√(x + 2)² = √121

x + 2 = 11

x + 2 - 2 = 11 - 2

x = 9

Answer:

No, they both have a 2/6 (1/3) chance of spinning blue.