Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Joshua Is 1.45 Meters Tall. At 2 P.m., He Measures The Length Of A Tree's Shadow To Be 31.65 Meters.

Answers

Answer 1

Answer:

8.42

Step-by-step explanation:

* means multiply

31.65/5.45 = x/1.45

5.45x = 31.65 * 1.45

5.45x = 45.8925

x = 45.8925/5.45

x = 8.42064220183


Related Questions

find the missing side plzzz helpppp

Answers

Answer:

10*30 = 300, 300 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The lines indicates that all side are 10 cm and the white shape is a rhombus

the biggest figure is a rectangle: its angles are 90 degrees

so the triangles have the angles : 90 30 60

so, we have that theeir side are

5 cm and 5√3 cm

perimeter = (10 + 5√3)* 2 + 10 = 20 + 10√3 + 10 = 30 + 10√3 = 10(3 + √3) cm

A = (10 + 5√3)* 5 = 50 + 25√3 = 25(2+√3) cm^2

Area of the two triangle = 5 * 5√3 = = 25√3 cm^2

if we want know the perimeter and the area of the white figure, we have

perimeter = 40 cm

area = 50 + 25√3 - 25√3 = 50 cm^2

The width of a rectangle is (2x – 7)inches and its width is (x^2 – 5) inches. Find an expression for the perimeter of the rectangle.
a. 2x^3 + 35
b. x^2 - 2x + 2
c. x^2 + 2x – 12
d. 2x^2 + 4x – 24

Answers

Answer:

(2x²+4x-24) in.

Step-by-step explanation:

.

the answer is D you’re welcome

According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 families do not have any one of them,then how many families will have both radio and television?Find it.​

Answers

Answer:

Number of families will have both radio and television = 44

Step-by-step explanation:

Given:

Number of family have radio = 794

Number of family have TV = 187

Number of family haven't both = 63

Find:

Number of families will have both radio and television

Computation:

Number of families will have Tv or radio = 1,000 - 63

Number of families will have Tv or radio = 937

Number of family have one of them = 794 + 187

Number of family have one of them = 981

Number of families will have both radio and television = 981 - 937

Number of families will have both radio and television = 44

Rewrite the following polynomial in standard form.

9x + 1 - x^2

Answers

Answer:

x²-9x-1

Step-by-step explanation:

move the -x² in front and get -x²+9x+1

then multiply the whole equation by -1 and get x²-9x-1

I THINK OKAY PLEASE DONE BE MAD

the angle of elevation of the top of a tower from a point 42 metres away from it's base on level ground is 26 degrees. find the height of the tower.

Answers

Answer:

20.485 Meters

Step-by-step explanation:

So first you wanna draw a diagram.  Start with the tower, then on the ground to the left (or right) draw a point.  The point will be labeled as 42 m away from the tower.  Now draw a line from that point to the top of the tower.  This makes your triangle, and that angle you just drew that touches the point is 26 degrees.

Now, since you have a right triangle you can use trig.  You know an angle and a side.  Specifically, relative to the 26 degree angle you know the adjacent angle and want the opposite, which is the tower.  So opposite and adjacent is tangent.  So you set up tan(26) = o/42 where o is the opposite side.  

So solving you get o = 20.485 meters

If a^2 -b^2 =12 and a-b=4 what is the bay of a +b

Answers

Answer:

a+b = 3

Step-by-step explanation:

a = b+4

a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12

8b=-4

b = - 1/2

a = 3.5

The number line shows the car's starting point and the ending point.
Find the distance between them.

Answers

Answer:

-12/7

Step-by-step explanation:

[tex] \frac{ - 5}{7} - \frac{7}{7} [/tex]

[tex] \frac{ - 5 - 7}{7} [/tex]

[tex] \frac{ - 12}{7} [/tex]

Third option is the answer.

Question 2 of 10
If f(x) x/2-3 and g(x) = 4x^2 + x - 4, find (f + g)(x).
A. 4x+3x-7
B. 4x2+x-1
C. 66²-7
D. 4x + x-

Answers

Answer:

B

Step-by-step explanation:

need help w this question thanksss!

Answers

Given:

A figure of a circle.

To find:

The value of x.

Solution:

Central angle theorem: According to this theorem, the central angle on an arc is twice of the subtended angle on that arc.

Using the central angle theorem, we get

[tex]x=2\times 35^\circ[/tex]

[tex]x=70^\circ[/tex]

Therefore, the value of x is 70 degrees.

Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.

Answers

[tex] \frac{6}{11} - \frac{ - 7}{11} [/tex]

[tex] \frac{6 - ( - 7)}{11} [/tex]

[tex] \frac{6 + 7}{11} [/tex]

[tex] \frac{13}{11} [/tex]

What're solutions for X^+4x-9=5x+3

Answers

Answer:

GUCCI GANG

Step-by-step explanation:

GUCCI GUCCCIII GAAAANNNGGGG

Answer:

x=-3 and x=4

Step-by-step explanation:

I assume you mean x^2 in the first part,

x^2 + 4x -9 = 5x +3

x^2 -x -12 =0

x          -4

x          +3

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

(x-4)(x+3) = x^2 -x -12 = 0

that gives us

x=4 and x=-3 are solutions

A rectangular prism and a pyramid have congruent bases and equal altitudes.Wha is the retio between the volume of the pyramid to the volume of the rectangular prism.What is the answer

Answers

Answer:

The required ratio is 1 : 3.

Step-by-step explanation:

Let the length is L, width is W and the height is H.

Volume of the prism is

V = LW H

Volume of the pyramid

V' = 1/3 L W H

Ratio of volume of pyramid to the prism is

[tex]\frac{V'}{V} = \frac{1}{3}[/tex]

What is the inverse of the function f(x)=4x+8?

Answers

To find the inverse of a function, we switch out every x for a y and vice-versa.

Original: y = 4x + 8

Flipped: x = 4y + 8

Now, we solve for y again to put this equation into slope-intercept form.

x = 4y + 8

4y = x - 8

y = 1/4x - 2

h(x) = 1/4x - 2

Hope this helps!

Create an entertaining presentation of your choice that will help students
remember how to add and subtract integers.

Answers

Answer:

maybe you can give them a simple example.

use what they are interested for.

for example if he or she love playing basketball.

you can draw three white ball, if other give you two ball, you can draw two balls. instead, if other want to borrow four balls from you, then you can draw four balls to black and count the left balls.

hope it can help you!!

Step-by-step explanation:

What is the distance between
(

5
,

5
)
(−5,−5)left parenthesis, minus, 5, comma, minus, 5, right parenthesis and
(

9
,

2
)
(−9,−2)left parenthesis, minus, 9, comma, minus, 2, right parenthesis?

Answers

Answer:

do you have a pic of the problem

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

the answer is the sqare rute of 25 which is 5

Write the equation of the line from the graph
(show your work pls)

Answers

it is just y=-4 since the line is horizontal

Find each measure

Please help me

Answers

Answer:

1. m∠CGB=120

3. m∠AGD=90

5. m∠CGD=150

2. m∠BGE=60

4. m∠DGE=30

6. m∠AGE=120

Step-by-step explanation:

Sorry that they are out of order.

Answer:

1. m∠CGB=120°

2.m∠BGE=60°

3.m∠AGD=90°

4.m∠DGE=30°

5.m∠CGD=150°

6.m∠AGE=120°

Step-by-step explanation:

My work is scatterbrained so I'm not gonna be any help if I give an explanation.

the question is on the image​

Answers

Answer:

(i) - rectangular prism

(Ii) - triangular prism

(iii) - square pyramid

Step-by-step explanation:

(g) (2 sin 60°)(3 kos 60°) + 3 tan 30°​

Answers

Answer:

[tex](2 \ sin 60)(3\ cos 60) +3\ tan 30\ =\ \frac{5\sqrt3}{2}[/tex]

Step-by-step explanation:

[tex](2 \ sin 60)(3 \ cos 60) + 3\ tan 30\\\\= (2 \times \frac {\sqrt3}{2}) (3 \times \frac{1}{2})+ (3 \times \frac{1}{\sqrt3})\\\\=(\sqrt{3}\ \times \frac{3}{2})+ \frac{3}{\sqrt3}\\\\=\frac{3\sqrt3}{2}+\frac{3}{\sqrt3}\\\\=(\frac{3\sqrt3}{2} \times \frac{\sqrt3}{\sqrt3})+(\frac{3}{\sqrt3} \times \frac{2}{2})\\\\=\frac{3\times (\sqrt3)^2}{2\sqrt3}\ + \ \frac{6}{2 \sqrt3}\\\\=\frac{3 \times 3}{2 \sqrt3} +\frac{6}{2 \sqrt3}\\\\=\frac{9+6}{2\sqrt3}\\\\=\frac{15}{2\sqrt3} \times \frac{\sqrt3}{\sqrt3}\\\\[/tex]

[tex]=\frac{15 \sqrt3}{2 \times (\sqrt{3})^2}\\\\=\frac{15 \sqrt 3}{2 \times 3}\\\\=\frac{5\sqrt3}{2}[/tex]

Please help me with this problem

Answers

Answer:

6a = 6 * a

2a * b = 2ab

Step-by-step explanation:

2a * 2b = 4ab not 2ab

6 * a is the same as 6a

5a = 5 * a not 5 + a

3ab has different variables then 3c therefore the expression cannot be true

2ab is the same as 2a * b

Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. The ceiling is rectangular. Its area is 122.5 square feet, and its width is 7 feet. How long should Adrian cut a streamer that will run the length of the ceiling?

Answers

Answer: hello there here is your answer:

17.5 feet

Step-by-step explanation:

Area of rectangle = Length x Width  

Length = Area/Width = 122.5 / 7 = 17.5 feet

hope this helps

have a god day bye

A = w * L
L = A / W

L = 17.5

Convert 43.81 ounces to grams

16 ounces = 1 pound
1 kilogram ≈ 2.2 pounds
Round your answer to the nearest hundredth

Answers

Answer:

1241.99

Step-by-step explanation:

1241.993 grams is the original answer but rounded to the nearest hundred is 1241.99

A condition statement is logically equivalent to a biconditional statement. true or false​

Answers

Answer:

true

Step-by-step explanation:

Because a logically equivalent is the same as biconditional statement

Step-by-step explanation:

hello the answer is true, you can check but it's obviously true

HI I really need help with this its in the picture

Answers

Answer:  24a^4 + 36a^3 + 12a^2

Explanation:

The blue rectangle has area of 4a^2*6a^2 = 24a^4

The red rectangle has area 4a^2*9a = 36a^3

The green rectangle has area 4a^2*3 = 12a^2

The total area is 24a^4 + 36a^3 + 12a^2

Someone please help me with this math problem?

Answers

9514 1404 393

Answer:

distributive propertycombine like termssubtraction (or addition) property of equalityaddition property of equalitydivision property of equality

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

According to the rational root theorem which of the following are possible roots for the function below x^4-29x^2+100

Answers

Hello,

The rational roots may be all divisors of 100

+1,-1,+2,-2,+4,-4,+5,-5,+10,-10,+20,-20,+25,-25,+50,-50,+100,-100

f(x)=x^4-29x^2+100

f(5)=5^4-29*5^2+100=0 : 5 is a root

f(-5)=(-5)^4-29*(-5)²+100=0 : -5 is a root

f(2)=2^4-29*2²+100=0 : 2 is a root

f(-2)=(-2^)^4-26*(-2)²+100= 0 : -2 is the last root.

A triangle is rotated 90 about the origin.Which rule describes the transformation?

Answers

Answer:

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. ... Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure.

Answer:

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 90° clockwise? Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure

find the missing information​

Answers

Answer:

?=83 degrees

Step-by-step explanation:

74+120=194

360-194=166

166÷2=83

You divide by two because it is an inscribed angle, so it will always be half the measure of the arc it is inscribing or enclosing.

do linear relationships have a constant rate of change ​

Answers

Answer:

Yes my son they do so yeah

Step-by-step explanation:

Cuz I know

Classwork Let's tick (V) the correct answer.

a) The terms of expression 5x2 – 3xy are (i) 5x² and 3xy (ii) x and xy (iii) 5x2 and - xy ​

Answers

Answer:

Option i

Step-by-step explanation:

The given expression is , 5x² - 3xy .

We can clearly see that there are two terms in the expression , 5x² and 3xy .

Therefore option (i) is correct .

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