A 60 foot monument casts a 25-foot shadow How long is the shadow of a 4.5 tall person?
A) 1.875 feet (it’s this one)
B) 5.555 feet
C) 2456 feet
D) 13334 feet

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Using similarities we have

(Actual size)/(Shadow length)=60/25=4.5/x

x=4.5*25/60=1.875

Answer 2

Answer:

A) 1.875 feet

Step-by-step explanation:


Related Questions

a recipe for a cake calls for 5 1/10 cups of sugar Anjali accidentally puts in 5 3/4 cups how much extra did she put

Answers

Answer:

2/15

Step-by-step explanation:

I think not 100% on this but not so sure-

Subtract 5 1/10 from 5 3/4

5 3/4 - 5 1/10

• Subtract the whole numbers (5 and 5)

5 - 5 = 0

• LCM of the denominators (4 and 10)

= 13/20

She put an extra 13/20

Round 832.078107648 to the nearest whole number

Answers

Answer:

8.32*10^2 or

832.08

Step-by-step explanation:

What conclusion can be derived by comparing the central tendencies of the two data sets?
A: (7, 6, 3, 1, 6, 2, 4, 6, 3, 5;
B: {2, 2, 2, 3, 4, 5, 2, 8, 7, 6}

Answers

A is the correct answer because u should know

Please help me find this angle

Answers

Answer:

x = 78

Step-by-step explanation:

We can find angle y

D + B + y = 180 since the sum of the angles of a triangle are 180

31+47+ y =180

78+y = 180

y = 180 - 78

y = 102

x+y = 180 since they form a straight line

x + 102 = 180

x = 180-102

x = 78

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

we have to find the value of the x°=<GHC

In the triangle BDH,

<D=31°<B=47°

we know that,

Sum of three angle of a triangle is 180°

According to the question,

<D+<B+<BHD=180°

31°+47°+<BHD=180°

78°+<BHD=180°

<BHD=180°-78°

<BHD=102°

But,

<GHC and <BHD forms a straight line

so,

<GHC+<BHD=180°

102°+x=180°

x=180°-102°

x=78°

Therefore,

The value of x is 78°

What is the midline equation of the function h(x) = -4 sin (x- pi/4)

Answers

Answer:

[tex]y = \boxed0[/tex]

Step-by-step explanation:

we are given a sin function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) [/tex]

we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,

[tex] \displaystyle f(x) = a \sin(bx -c) + d[/tex]

where the midline is

[tex]y = d[/tex]

to figure out the midline rewrite the function

[tex] \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0[/tex]

therefore the midline is

[tex]y = \boxed0[/tex]

Explain how you can find the constant of proportionality from a graph representing a proportional relationship when it shows a point with an x - value of 1 and if it doesn't show an x - value of 1 .

Answers

tienees que fijartelos extrreemos

how many units is 12x+16

Answers

Answer:

I think the answer is 1/2

Step-by-step explanation:

because

12x=6

x=6/12

•°•x=1/2

Brainly to whomever solves these proportion questions! I will give brainly to whomever has the most detailed answer, but I WILL report unrelated and unhelpful questions ( the more reports you get, the quicker you get kicked of brainly - SO DON'T TRY ME)

Answers

Answer:

a.) terry didn't line up the triangle correctly. 4/y = 20/18

b.) (20+16)/18

Step-by-step explanation:

for part a, you have to make sure the angles line up correctly (the angle with one tick mark lining up with the angle with one tick mark, the angle with two tick marks lining up with the angle with two tick marks, etc.)

for part b.) you just put the proportional lengths of the bigger triangle in for the lengths of the smaller triangle.

Simplify the expression.
40 -2.32
A. 4
B. 342
C.
22
D. 28

Answers

Answer:

37.68

Step-by-step explanation:

40 -2.32

= 37.68

Answer: is C. 22

Step-by-step explanation:

art I) 69% 2
Amelia is 1.5 m tall. She is standing in front of a tree. Her friend places a
mirror on the ground and moves it until Amelia can see the top of the tree.
The mirror is 4 m from Amelia and 12 m from the tree. How tall is the tree?
a

Answers

Answer:

Step-by-step explanation:

this is a question about two similar triangles  , one is from  Amelia , the other is the tree.

1.5/4 = x/12

solve for x

4.5 = x

the tree is 4.5 meters tall

ASAPPPPPP PLEASE HELP MEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

4 weeks per level

Step-by-step explanation:

notice the pint (1,4)

the next is (2, 8)

meaning that in 4 weeks she completes 1 level and in 8 weeks she completes 2 levels.

Which represents the inverse of the function f(x) = 4x?
h(x) = X + 4
h(x) = x -4
h(x) = 3/4 x
h(x) = 1/4 x

Answers

Step-by-step explanation:

h(x) = 1/4 x

tha is the answer

Mark invests $8,008 in a retirement account with a fixed annual interest rate of 2% compounded 6 times per year. What will the account balance be after 16 years?

Please help i need the answer by tomorrow!

Answers

Given:

Principal value = $8,008

Rate of interest = 2% compounded 6 times per year.

Time = 16 years

To find:

The account balance after 16 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of times interest compounded in an year and t is the number of years.

Putting [tex]P=8,008, r=0.02,n=6,t=16[/tex] in the above formula, we get

[tex]A=8008\left(1+\dfrac{0.02}{6}\right)^{6(16)}[/tex]

[tex]A=8008\left(\dfrac{6.02}{6}\right)^{96}[/tex]

[tex]A=11022.1721148[/tex]

[tex]A\approx 11022.17[/tex]

Therefore, the account balance after 16 years is $11022.17.

help help help pls pls

Answers

Answer:

abcd is a quadrilateral so ,

a is ( 0,-5 )

b is ( 2,-5 )

c is ( 1,-7 )

and d is ( 0,-7 )

Which function of x has the least value for they intercept?

Answers

The answer is 3x^2-6x+13

I NEEDDDDD HELPPPPPPPPPP!!!!

Answers

Answer:

36 units squared

Step-by-step explanation:

10 times 10 - 4 times 4  = 100-16 = 84, take the square root of 84 = 9.12 which rounds to 9, now that we found the height, we use the area of a triangle formula, A=bh/2, so the base is 8 times height 9 = 72 divided by 2 = 36

Rationalise the denominator of
2√3 + 3√2/4√3 +√2

Answers

Answer:

[tex]\frac{9+ 5\sqrt{6} }{23}[/tex]

Step-by-step explanation:

2√3 + 3√2 *   4√3 -√2

4√3 +√2          4√3 -√2

multiply by conjugate

2√3 + 3√2 *   4√3 -√2      =       18 +10√6   = 9 +5√6  

4√3 +√2          4√3 -√2                   46                   23

Answer:

Step-by-step explanation:

To rationalize the denominator, multiply the numerator and denominator by the conjugate of the denominator.

Conjugate of 4√3 + √2 is 4√3 - √2

(2√3 +3 √2)(4√3 - √2) = (2√3 * 4√3) - (2√3*√2) + (3√2*4√3) -(3√2*√2) {Use FOIL method}

= 8*3 - 2*√6+12√6 -3*2

= 24 -2√6 +12√6 - 6

= 24 - 6 + (-2+12)√6)

= 18 + 10√6

[tex]\frac{2\sqrt{3}+3\sqrt{2} }{(4\sqrt{3}+\sqrt{2} }\\\\=\frac{(2\sqrt{3}+3\sqrt{2})(4\sqrt{3}-\sqrt{2}) }{(4\sqrt{3}+\sqrt{2} )(4\sqrt{3}-\sqrt{2} )}\\\\=\frac{18+10\sqrt{6} }{(4\sqrt{3})^{2}-(\sqrt{2})^{2} }\\\\=\frac{18+10\sqrt{6} }{48-2}\\\\=\frac{18+10\sqrt{6} }{46}\\\\\\=\frac{2(9+5\sqrt{6} )}{46}\\\\=\frac{9+5\sqrt{6} }{23}[/tex]

Please help me asap! I don’t understand

Answers

Answer:

18

Step-by-step explanation:

4*3 = 12

1/2 * 3 * 4  = 6

Answer:

Area = 18

Step-by-step explanation:

Area = length x width

but oops there isn’t a length so we must use Pythagorean theorem

Pythagorean theorem: a^2 + b^2 = c^2 in this case we’re looking for side a

a^2 + 4^2 = 5^2

a^2 + 16 = 25

a^2 = 25 - 16

a^2 = 9

Then square root 9 = 3

so the length is 3

Then we can start solving for area!

Area = length x width

Area = 3 x 4

Area = 12

Now for the triangle

Area = 1/2 bh

Area = 1/2 (4)(3)

Area = 1/2 12

Area = 6

6 + 12 = 18

Ming drew the model to represent the equation 24+12=_x(8+4). What is the missing value in Ming's equation 3 4 12 24

Answers

Answer:

3 is the missing value

Step-by-step explanation:

Given

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Required

Complete the blank

The model is not given; but the question can still be solved.

We have:

[tex]24 + 12 = \_ * (8 + 4)[/tex]

Add 8 to 4

[tex]24 + 12 = \_ * 12[/tex]

Add 24 to 12

[tex]36= \_ * 12[/tex]

Divide both sides by 12

[tex]3= \_[/tex]

Rewrite as:

[tex]\_ = 3[/tex]

Hence, the blank will be completed with 3

Answer:

a

Step-by-step explanation:

edg 2021

Choose ALL of the ordered pairs that are solutions to the equation.
5y = 2x - 7
a) (6, 0)
b) ( 7, 21)
c) (8, 18)
d) ( -3, 4)

Answers

b) ( 7, 21)

Step-by-step explanation:

5(7)=2(21)-7

35=42-7

35=35

Answer:

None of them

Step-by-step explanation:

a: 5*0=2*6-7 False

b: 5*21=2*7-7 False

c: 5*18=2*8-7 False

d: 5*4=2*-3-7 False

HELPPPPPPPPPPP PLSSSSSSSSSSSSS

Answers

Answer:

6a+17

Step-by-step explanation:

This is an algebra 'expression' where you have to rearrange the question to the correct 'expression'

4a+2a= 6a

8+9= 17

Answer:

= 4a+2a+8+9

=6a+17

What would be the denominator after rationalizing 7/(5√3 - 5√2)?

Answers

Answer:

The denominator will be [tex]5\sqrt{3} +5\sqrt{2}[/tex]

Step-by-step explanation:

Three tennis balls that fit in cylindrical tennis ball cane. If each ball is 14 inches in diameter, what is the volume of air left between the balls and the cane​

Answers

Given:

Diameter of the tennis ball = 14 inches.

Three tennis balls are fit in a cylindrical tennis ball cane.

To find:

The volume of air left between the balls and the cane​.

Solution:

Diameter of the tennis ball = 14 inches.

Radius of the tennis ball = 7 inches

Radius of tennis ball is equal to radius of cane. So,

Radius of the cane = 7 inches

Height of cane is:

[tex]3\times 14=42[/tex] inches

Volume of a ball is:

[tex]V_1=\dfrac{4}{3}\pi r^3[/tex]

Where, r is the radius of the ball.

So, the volume of 3 ball is:

[tex]V_2=3\times V_1[/tex]

[tex]V_2=3\times \dfrac{4}{3}\times \dfrac{22}{7}\times (7)^3[/tex]

[tex]V_2=4312[/tex]

Volume of the cane is:

[tex]V_3=\pi r^2h[/tex]

Where, r is the radius of the cane and h is the height of the cane.

[tex]V_3=\dfrac{22}{7}\times (7)^2\times 42[/tex]

[tex]V_3=6468[/tex]

Now, the volume of air left between the balls and the cane​ is:

[tex]V=V_3-V_2[/tex]

[tex]V=6468-4312[/tex]

[tex]V=2156[/tex]

Therefore, the volume of air left between the balls and the cane​ is 2156 cubic inches.

Evan tosses a ball from the roof of a building. The path of the ball can be modelled
by the following equations where h represents the height of the ball in meters and
t represents the time in seconds. Each equation below represents the EXACT same
path. Using the information you can obtain from these equations, answer the
following questions.
nu = -4(t + 1)(t-5)
h2 = -4/t - 2)2 + 36
hz = -4t? + 16 + 20
Draw a detailed SKETCH representing the path of the ball. Be sure to include titles
for your axes, appropriate scales, and critical points such as initial value, vertex and
roots of the parabola.

Answers

Answer:

Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel

Step-by-step explanation:

Question;

The equation representing the path of the ball obtained from a similar question posted online are;

h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20

The above equations represent the same path

The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time t

At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level

The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0

The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;

The vertex of the ball = The maximum height reached by the ball  = (h, k) = (2, 36)

The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape

The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached

Find the distance between (-5,5) and (2,-2)

Answers

Answer:

The distance is 7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{The formula for \underline{distance between} is: }\mathsf{\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}}[/tex]

[tex]\large\textsf{Whereas }\mathsf{x_2}\large\textsf{ is }\mathsf{2}\large\textsf{ and }\mathsf{x_1}\large\textsf{ is }\mathsf{ -5}\\\\\large\textsf{And also }\mathsf{y_2}\large\textsf{ is }\mathsf{ -2}\large\textsf{ and }\mathsf{ y_1}\large\textsf{ is }\mathsf{5}[/tex]

[tex]\mathsf{\sqrt{(2 - -5)^2+ (-2 + 5)^2}}\\\mathsf{2 - -5}\\\mathsf{= 2 + 5}\\\mathsf{= \bf 7}\\\\\mathsf{-2 + 5}\\\mathsf{= \bf -7}\\\\\mathsf{= \sqrt{(7)^2+ (-7)^2}}\\\\\mathsf{7^2}\\\mathsf{= 7\times7}\\\mathsf{= \bf 49}\\\\\mathsf{(-7)^2}\\\mathsf{= -7\times-7}\\\mathsf{= \bf 49}\\\\\mathsf{= \sqrt{49 +49}}\\\\\mathsf{49+49}\\\mathsf{=\bf 98}[/tex]

[tex]\mathsf{= \sqrt{98}}\\\mathsf{= 7\sqrt{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf 7\sqrt{2}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Solve the system of equations.
6x – Зу = 3
-2x + y = 14
1.What number would you multiply the second equation
by in order to eliminate the x-terms when adding to the
first equation?
2.What number would you multiply the first equation by in
order to eliminate the y-terms when adding to the
second equation?

Answers

Answer:

1. Multiply by 3

2. Multiply by 1/3

Step-by-step explanation:

6x - 3y = 3

-2x + y = -14

1. In order to eliminate the x-terms, they would both have to equal the same number with opposite signs (positive and negative). Since we are only touching the second equation, how can we get from 2 to 6? We can multiply 2 by 3 to get to 6 (negative 6 in the end.) This would result as follows:

6x - 3y = 3

-6x + 3y = 42

2. In order to eliminate the y-terns through multiplying with the first equation, we have to figure out how to make 3y into 1y. We can do this by adding its reciprocal, 1/3. 1/3 × 3 = 1. This would result as follows:

2x - y = 1

what is x: |3x-1| = 4

Answers

Step-by-step explanation:

here's the answer to your question

The correct answer is X= -1

Find f(-2) for f(x) = 3 *2^x

Answers

Answer:

3/4

Step-by-step explanation:

f(x) = 3 *2^x

Let x= -2

f(-2) = 3 *2^(-2)

     = 3 * 1/2^2

    = 3 /4

Answer:

It is 3/4

Step-by-step explanation:

I need help with this one, its too hard for me

Answers

Answer:

<C + <D = < DEK

<D = 40

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<C + <D = < DEK

60 + <D = 100

<D = 100 -60

<D = 40

Answer:

[tex]m\angle C+m\angle D=m\angle DEK[/tex]

[tex]60+m\angle D=100[/tex]

[tex]m\angle D=100-60[/tex]

[tex]m\angle D=40[/tex]

--------------------------

Hope it helps...

Pls help me this is my homework

Answers

Answer

34 match sticks (C)

please mark me as brainliest and pls someone answer my question also

Answer:

Step-by-step explanation:

for first question your pattern is 3x+4 then 3(10)+4=34.. I mean your answer is part c

in second picture if your mean is 7 question, the answer is part 1. w=p/2_125 can not be the answer.

if your mean is 8 question, it's answer is point S. because x=5 &y=-25 then 5-(-25)=+30 it means point S.

but if your mean is the 6 question,it's answer is part 1..it means 3e+5c+2(1)

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