Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal

Answer:

D. BA = 8, AC = 8√3

Step-by-step explanation:

First, because this is a right triangle, refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

BA is the opposite side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use sine:

sine = opposite side/hypotenuse

sin(30) = BA/16

sin(30) / 1 = BA / 16

Cross multiply:

BA = sin(30) (16)

BA = 8

AC is the adjacent side to the angle measure given, ∠C—which is 30°—and we have the measure of BC. BC is the hypotenuse, as it is across from the right angle of the right triangle. So we can use cosine:

cosine = adjacent side/hypotenuse

cos(30) = AC/16

cos(30) / 1 = AC / 16

Cross multiply:

AC = cos(30) (16)

AC = 8√3

You can check by using the Pythagorean Theorem:

a² + b² = c²

8² + (8√3)² = 16²

64 + 192 = 256

256 = 256

Answer:

No

Step-by-step explanation:

You can't use the perpendicular bisector theorem because it doesn't intersect it at a right angle, (meaning it isn't perpendicular)

Answer: See explanation

Step-by-step explanation:

We should note that the hypothenuse is the longest side in a triangle. Therefore, the length of the other side will be represented by x. This is then solved below:

x² + 3² = 5²

x² + 9 = 25

x² = 25 - 9

x² = 16

x = ✓16

x = 4cm

The other leg is 4cm

Joni shouldn't have added the hypothenuse to the other leg but rather subtracted the square of the other leg from the square of the hypothenuse and then find the square root.

Answer:

it should be a

Step-by-step explanation:

if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money

Answer:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Step-by-step explanation:

log 2 = 0.3010

log 3 = 0.4771

log 6 = ?

6 = 3 * 2

log 6 = log (3 * 2)

According to log rules;

log (a * b) = log(a) + log (b)

This means;

log 6 = log 3 + log 2

Inserting the values they represent;

log 6 =  log 3 + log 2 =  0.4771  + 0.3010

Correct option:

B. log6 = log2 + log3 = 0.3010 + 0.4771

Answer:

I love you 3566267840 and pas 123456

Answer:

the area is 34 in to that round up

Step-by-step explanation:

Answer:

4(7x-2)

Step-by-step explanation:

yeah so that's the answer your welcome

The factor of the polynomial expression 28x - 8 will be 4 and (7x - 2).

It is a technique for separating a polynomial into sorts that will be duplicated out. As of now, the polynomial's worth will be zero.

Polynomial math is the investigation of conceptual images, while rationale is the control of that multitude of thoughts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 28x - 8

Factorize the expression, then we have

⇒ 28x - 8

⇒ 4·7x - 4·2

⇒ 4(7x - 2)

The element of the polynomial articulation 28x - 8 will be 4 and (7x - 2).

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Answer: See explanation

Step-by-step explanation:

Your question isn't complete but I'm guessing that you want to find the equation to know the miles left for Lorenzo family to reach the beach.

The equation will be gotten by subtracting the distance that the family has driven already from the total distance from their house to the beach. This will be:

= 85 miles - 63 miles

= 22 miles

Answer:

In the number 75, 5 is the base and 7 is the exponent. Solution: False. Example 7: 4. 3 a. a a a a b. b b b. + + +. = + +. Solution:.

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Answer:

y=5x-6

Step-by-step explanation:

Use form y= mx + b where m is the slope and b is the y intercept

Answer:

6/10 is greater than 6/100

Step-by-step explanation:

6/10 = 3/5

6/100 = 3/50

3 fifties is lot more than 3 with 5 parts

hope it makes sense

Answer: 1X52=73

Step-by-step explanation:

Answer:

an enlargement or a reduction of the figure

a slide of the figure

a turning of the figure about some fixed point

a mirror image of the figure

The best description of a dilation of a figure is a slide of the figure.

What is dilation?

A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.

Now,

The best description of a dilation of a figure is a slide of the figure.

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Answer is in the file below

tinyurl.com/wpazsebu

Answer:

2

Step-by-step explanation:

The triangle VXW should look like that in the attachment.

sine of W = opposite side/hypotenuse

=> sine of W = 77/85

Other formulae:

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

Answer:

area = 58.5 cm²

Step-by-step explanation:

area = 18 x 6.5 x 0.5 = 58.5 cm²

Answer:

[tex]56\ \text{km/h}[/tex]

Step-by-step explanation:

[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]

[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]

Average speed is given by

[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]

[tex]\Rightarrow s=\dfrac{336}{6}[/tex]

[tex]\Rightarrow s=56\ \text{km/h}[/tex]

The average speed of the driver is [tex]56\ \text{km/h}[/tex].

Answer:

300 in³

Step-by-step explanation:

Hello There!

The prism shown is a rectangular prism

The formula for volume of a rectangular prism is

[tex]Volume=lwh[/tex]

where l = length w = width h = height

so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula

so

[tex]V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3[/tex]

Answer:

the volume of the prism=length ×breadth ×height =10×5×6=300in³

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

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Step-by-step explanation:

Mean x¯¯¯ 58003

Median x˜ 58003

Mode 58003

Range 3

Minimum 58002

Maximum 58005

Count n 7

Sum 406021

Quartiles Quartiles:

Q1 --> 58002

Q2 --> 58003

Q3 --> 58003

Interquartile

Range IQR 1

Outliers 58005

copy machine goes brr

Answer:

24 ÷ x = 5

i hope this helps :)

Answer:

It is 24 ÷ x = 5

Step-by-step explanation: