At a certain time in the afternoon a light pole casts a shadow that us 11 ft 9 in long. At the same time, a woman of height 4 ft 6 in casts a shadow that is 18 inches long. How tall is the light pole?​

Answer:

$140

Step-by-step explanation:

4 pairs of shoes = $80

( ÷ 4 to get the price of one pair of shoes)

1 pair of shoes = $20

( × 7 to get the price of 7 pairs of shoes )

7 pairs of shoes = $140

Answer:

68

Step-by-step explanation:

because 75-20= 55 cuz 20 were used

55-12= 43 cuz then 12 more were used

43+25= 68 cuz 25 was added

so 68

Answer: C. 4

Step-by-step explanation:

Answer:

(x−4)² + (y−5)² = 36

Step-by-step explanation:

The equation of a circle is:

(x−h)² + (y−k)² = r²

where (h, k) is the center and r is the radius.

If the center is (4, 5) and the radius is 6, then the equation is:

(x−4)² + (y−5)² = 6²

(x−4)² + (y−5)² = 36

I hope this diagram explains it and helps you :)

Answer:

Angle D = arc tangent (72 / 21)

Angle D = arc tangent (3.4285714286)

Angle D = 73.74 Degrees

and to the nearest degree it's 74

Step-by-step explanation:

Answer:

[tex]\$16.64[/tex]

Step-by-step explanation:

we know that

The exponential function while the player is still active is equal to

[tex]y=3(1.07)^{x}[/tex]

where

y ----> is the value of the baseball card

x ----> the time in years

Find the value of y for x=7 years (7 years still active)

[tex]y=3(1.07)^{7}=\$4.82[/tex]

After 20 years

x=20-7=13 years (13 years retired player)

The initial value is [tex]\$4.82[/tex]

The new equation is equal to

[tex]y=\$4.82(1.1)^{x}[/tex]

substitute

x=13 years

[tex]y=\$4.82(1.1)^{13}=\$16.64[/tex]

Answer:

Part 1) The value of w is 13.3 units

Part 2) The value of x is 10.3 units

The answer is the option

w=13.3, x=10.3

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Part 1) Find the value of w

we know that

In the right triangle ABD

tan(42°)=12/w

Solve for w

w=12/tan(42°)=13.3 units

Part 2) Find the value of x

In the right triangle ABC

tan(27°)=12/(w+x)

(w+x)=12/tan(27°)=23.6 units

(w+x)=23.6 units

Solve for x

x=23.6-w

substitute the value of w

x=23.6-13.3=10.3 units

The measure of side lengths w and w are 13.3 and 10.3 units respectively.

The correct option is A) w = 13.3; x = 10.3

The figures in the image are those of two right triangles.

To solve for the measure of side length w and x, we use the trigonometric ratio:

First, we solve for side length w:

Angle θ = 42 degrees

Opposite to angle θ = 12

Adjacent to angle θ = w

tan(θ) = opposite / adjacent

tan( 42 ) = 12 / w

w = 12 / tan( 42 )

w = 13.3

Now we solve for side length x:

Angle θ = 27 degrees

Opposite to angle θ = 12

Adjacent to angle θ = ( w + x )

tan(θ) = opposite / adjacent

tan( 27 ) = 12 / ( w + x )

( w + x ) = 12 / tan( 27 )

( w + x ) = 23.55

Plug in w = 13.3

13.3 + x = 23.55

x = 23.55 - 13.3

x = 10.3

Therefore, the value of x is 10.3 units

Option A) w = 13.3 and x = 10.3 is the correct answer.

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Hi there, Queen Tima! I hope you're having a great day today!!

You selected the correct boxes!

If I helped out please consider helping me out back by giving me brainliest! Thank you :DD

-Austin <3

Answer:

I would think it's all correct. Not sure about option 2. but I'm 99% sure it's right

Hope this helps :)

Sorry if i'm wrong

Please mark brainliest :D

Answer:

593.0 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of triangular end face × length

A of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 10.2 and h = 10. 2

A of Δ = 0.5 × 10.2 × 10.2 = 52.02 cm², hence

V = 52.02 × 11.4 ≈ 593.0 cm³

Answer:

The correct answer option is B. 0.21.

Step-by-step explanation:

We are to find the value of [tex]cos \theta[/tex] using the law of cosines.

We know that the formula of the cosine rule is given by:

[tex] c ^ 2 = a ^ 2 + b ^ 2 - 2 a b cos C [/tex]

So substituting the given values in the above formula:

[tex] 10.9 ^ 2 = 5.8 ^ 2 + 10.5 ^ 2 - 2 (5.8) (10.5) cos C [/tex]

[tex]118.81=33.64+110.25-121.8cosC[/tex]

[tex]118.81 - (33.64+110.25) = -121.8cosC[/tex]

[tex]118.81-143.86=-121.8cosC[/tex]

[tex]cosC=\frac{-25.05}{-121.8}[/tex]

cos C = 0.21

Answer:

B. 0.21

Step-by-step explanation:

All of the right triangles are similar by AA similarity, so corresponding side lengths are proportional. The ratio of the long leg to the short leg is the same for the two smaller triangles, for example:

  CP/AP = MP/CP

  CP/9 = 16/CP . . . . . fill in the given numbers

  CP² = 9·16 . . . . . . . multiply by 9·CP

  CP = 3·4 = 12 . . . . . take the square root

Now, you can use the Pythagorean theorem to find AC and/or CM.

  AC = √(9² +12²) = √225 = 15

  CM = √(12² +16²) = √400 = 20

In summary, CP = 12, AC = 15, CM = 20.

_____

Once you have CM, you can see these are 3-4-5 right triangles, so you can determine the other lengths by using these side ratios.

  3:4:5 = 9:12:15 = 12:16:20

_____

The altitude CP is called the "geometric mean" of AP and MP. It is the square root of their product. This is true for any right triangle, not just one with sides in the ratio 3:4:5. If you know this, you can write down your answers almost immediately. Above, we had to derive this fact using similarity.

Answer:

c(x) = –8x^2 + 3x – 5 is a quadratic

Step-by-step explanation:

A quadratic function involves the 2nd power of x:  x^2, and may (or may not) involve the 1st and zeroth power of x.

a(x) = -2x^3 is not a quadratic because of that exponent 3; in a quadratic, the highest power is always 2.

b(x) = 5x^3 + 8x^2 + 3 is not a quadratic for the same reason that a(x) is not a quadratic.

c(x) = –8x^2 + 3x – 5 is a quadratic:  the highest power of x is x^2, the other powers are x^1 and x^0.

Answer:

15.04

Step-by-step explanation:

.06 % of 16 is .96 and 16- .96= 15.04

Hope this helps!

The answer is 15.94!!

Answer:

D

Step-by-step explanation:

When a number is listed outside the function it is a vertical movement. So negative is down, positive is up!

Inside the function would be left/right. This would have been found in your exponent.

D. The graph of [tex]f(x)[/tex]  is shifted three units down from the graph of g(x).

f(x) = [tex]-4^{5x} -3[/tex] and g(x) = [tex]-4^{5x}[/tex]

In general, replacing x with x – h in a mathematical sentence translates its graph h units horizontally. Similarly, replacing y with y – k in a sentence translates its graph k units vertically.

For example, your sketch of Group B should show that the graph of y = x2 + 3 is 3 units above the graph of y = x2.

Using the slope-intercept form, the slope is 4 . All lines that are parallel to y=4x−6 y = 4 x - 6 have the same slope of 4 .

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Answer:

19/12 or 1 7/12 lbs

5/6 + 3/4

Find a common denominator, aka least common multiple

So, 5/6 becomes 20/24 and 3/4 becomes 18/24

20/24 + 18/24 = 38/24 which simplifies to 19/12 or 1 7/12

Answer:

19/12 pounds which is equal to 1.583 pounds

Step-by-step explanation:

The total pounds of beans bought is a function of the amount of black beans and the amount of pinto beans. These two added together gives the amount of beans bought.

Given,

Amount of black beans = 5/6 pounds

Amount of Pinto beans = 3/4 pounds

Total pounds of beans purchased = 5/6 + 3/4

=(10 + 9)/12

= 19/12 pounds

= 1.583 pound

Answer:

x=76°

Step-by-step explanation:

When these lines are parallel, these two angles would be alternate interior angles. This means that they must be congruent

Therefore, x=76°

Answer:

76°

Step-by-step explanation:

Through Alternate Interior Angles theorem.

This theorem is applied when lines a and b are parallel.

Answer:

Other answer.

Step-by-step explanation:

[tex]f(x) = 3(x-1)^4\\ f(-x) = 3(-x-1)^4 = 3\big(-(x+1)\big)^4 = 3(x+1)^4 \\ \\ f(-x)\neq f(x) \\ f(-x)\neq -f(x)\\ \\ \Rightarrow \text{The function is neither odd or even}[/tex]

Answer:

The function is neither even nor odd.    

Step-by-step explanation:

Given : Function [tex]f(x)=3(x-1)^4[/tex]

To find : Determine whether the function is even or odd ?

Solution :

Rules to determine the function is even or odd :

If f(x)=f(-x) then the function is even.

If f(x)=-f(x) then the function is odd.

Now, Test for even function

[tex]f(x)=3(x-1)^4[/tex]

[tex]f(-x)=3(-x-1)^4[/tex]

[tex]f(-x)=3(-(x+1)^4[/tex]

[tex]f(-x)=3(x+1)^4[/tex]

[tex]f(x)\neq f(-x)[/tex] so function is not even.

Test for odd function,

[tex]f(x)=3(x-1)^4[/tex]

[tex]-f(x)=-3(x-1)^4[/tex]

[tex]f(x)\neq -f(x)[/tex] so function is not odd.

So, The function is neither even nor odd.

Answer:

Jordan will save $16.25 each month by choosing financing through the dealership.

Step-by-step explanation:

The EMI formula is :

[tex]\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}[/tex]

Case 1:

p = 17500

r = [tex]6.9/12/100=0.00575[/tex]

n = [tex]5\times12=60[/tex]

Putting the values in formula;

[tex]\frac{17500\times0.00575\times(1+0.00575)^{60}}{(1+0.00575)^{60}-1}[/tex]

=> [tex]\frac{17500\times0.00575\times(1.00575)^{60}}{(1.00575)^{60}-1}[/tex]

EMI = $345.70

Case 2:

p = 17500

r = [tex]4.9/12/100=0.004083[/tex]

n = [tex]5\times12=60[/tex]

Putting the values in formula;

[tex]\frac{17500\times0.004083\times(1+0.004083)^{60}}{(1+0.004083)^{60}-1}[/tex]

=> [tex]\frac{17500\times0.004083\times(1.004083)^{60}}{(1.004083)^{60}-1}[/tex]

EMI = $329.45

So, difference per month in payments will be :

[tex]345.70-329.45=16.25[/tex] dollars

Hence, Jordan will save $16.25 each month by choosing financing through the dealership.

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

[tex]V=\pi r^2H[/tex]

We have

[tex]r=6cm,\ V=904.78\ cm^3[/tex]

Substitute:

[tex]\pi(6^2)H=904.78\\\\36\pi H=904.78\qquad\text{use}\ \pi\approx3.14\\\\(36)(3.14)H=904.78\\\\113.04H=904.78\qquad\text{divide both sides by}\ 113.04\\\\H\approx8\ cm[/tex]

[tex]\bf sin(A)=\cfrac{\stackrel{opposite}{12}}{\stackrel{hypotenuse}{20}}[/tex]             Check the picture below.

Answer:

  225 cm²

Step-by-step explanation:

The ratio of areas is the square of the scale factor.

  area UVW = (5/2)²·area RST = (25/4)(36 cm²) = 225 cm²

Answer:

Answer is B

Step-by-step explanation:

A number that cannot be expressed as a fraction ,where p and q are integers and q is not equal to zero

Answer:

a number that cannot be expressed as a fraction, , where p and q are integers and q is not equal to zero

No, it has more than one. A rectangle is symmetric with respect to its diagonals, and the lines connecting the midpoints of two opposite sides.

Answer:

Below

Step-by-step explanation:

The dish had intially 2500 bacteria. The bacteria triples every month.

So after a month the number will be 7500 =>(2500×3)

So let 2500 be the n0 and 7500 be n1

● n1 = 3×n0

Following the same way we get:

● n2= 3× n1

● n3 = 3× n2

If we kept repeating the same process we will get:

● n9 = n8 × 3

n9 is the number of Bacteria during the 10th month

let's calculate n9.

● n9 = n8 × 3

● n9 = n0 × 3^10

● n9 = 2500 × 3^10

● n9 = 147 622 500

● n9 = 1.476225 ÷ 10^8

The number of bacteria will be 147,622,500 in 10 months according to the GP.

A geometric progression (GP), sometimes known as a geometric sequence, is a series of integers that differ by a common ratio.

Given, The dish had initially 2500 bacteria. The bacteria triples every month. So after a month, the number will be (g1) = 2500 * 3 = 7500. Since data is in geometric progression where ratio (r) is 3 and first term (a) is 7500.

Hence, the nth term of GP (Tₙ)  = a * rⁿ⁻¹

10th term of Given GP (T₁₀) = 7500 * 3¹⁰⁻¹ = 147,622,500

Therefore, 147,622,500 bacteria will be there in the petri dish after 10 months

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Answer:

Area of a kite = 34.3 ft^2

Step-by-step explanation:

a kite has diagonals 9.8 ft and 7 ft

WE are given with the diagonals of the kite

Area of a kite = diagonal 1 * diagonal 2 /2

diagonal 1= 9.8 ft

diagonal 2 = 7ft

Area of a kite =  [tex]\frac{9.8 * 7}{2}[/tex]

Area of a kite= 34.3 square feet

ANSWER

Subtract 3-1

EXPLANATION

The given line segment has endpoints at (1,6) to (3,6).

This line is a horizontal straight line because the y-coordinates of both points are the same.

We can therefore use the number line method to find the length of this line segment.

Using this method, we subtract the initial x-value from the terminal x-value.

The best description is:

Subtract 3-1

Answer:

The surface area is [tex]SA=1,108\ in^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to

The lateral area of the rectangular prism plus the area of the base of the rectangular prism plus the area of the two triangular faces of triangular prism plus the area of two rectangular faces of the triangular prism

so

[tex]SA=2(12+20)(5)+(12)(20)+2[\frac{1}{2}(12)(9)]+2(20)(11)[/tex]

[tex]SA=320+240+108+440[/tex]

[tex]SA=1,108\ in^{2}[/tex]

Answer:

1,108in~2

Step-by-step explanation:

Trust us! Acellus 2022

Answer:

the prices and quantity in an entire market.

Step-by-step explanation:

The supply schedule shows the supply changes when the prices are increased or decreased. There is a table which is called market supply schedule or inventory. It lists the amount contributed for a product or service that the suppliers of whole economy are willing and able to supply at all possible prices.

Answer:

B....the prices and quantity in an entire market

Step-by-step explanation:

took test

Answer:

6 performances

Step-by-step explanation:

They already made $1200, so 5000-1200= $3800 left that they need to make, so you need to divide: 3800/700=6 performances to break even (rounded up to the nearest whole number).

Answer:

18 pieces

Step-by-step explanation:

Divide the 3 yd string by 1/6:

[tex]\frac{3}{\frac{1}{6} }[/tex]

Rewrite that to look a little more manageable:

[tex]\frac{3}{1}[/tex]÷[tex]\frac{1}{6}[/tex]

And of course you know that if you want to divide fractions, you flip the one on the bottom upside down and change the sign to multiplication:

[tex]\frac{3}{1}[/tex]×[tex]\frac{6}{1}[/tex]

Do that multiplication and you get 18 pieces.

Answer:

18

Step-by-step explanation: