Fahim is 6 feet tall. At noon, he stands with the sun behind him casting a shadow. The distance from the top of Fahim’s head to the furthest tip of the shadow is 13 feet.

A right triangle with side length 6 feet, s, and hypotenuse 13 feet.
[Not drawn to scale]

What is the length of Fahim’s shadow? Round to the nearest tenth of a foot.
7.0 feet
8.5 feet
11.5 feet
14.3 feet

Answer

=6a3+7a2+a−1

Step-by-step explanation:

Let's simplify step-by-step.

−3a2+4a−5+6a3−3a+4+10a2

=−3a2+4a+−5+6a3+−3a+4+10a2

Combine Like Terms:

=−3a2+4a+−5+6a3+−3a+4+10a2

=(6a3)+(−3a2+10a2)+(4a+−3a)+(−5+4)

=6a3+7a2+a+−1

Answer:

6

Step-by-step explanation:

-20/-2 = 10

10-4= 6

Answer:

n= 12

Step-by-step explanation:

27=15+n

step 1. simplify

27=n+15

step 2. flip the equation n+15=27

step 3. subtract 15 from both sides

n=12

Answer:

12.

Step-by-step explanation:

We don't have the other number, so we must do the reverse operation, which is subtraction. So we have to subtract 27 from 15. 7-5 is 2, and 20-10 is 10. Add those together and you get 12.

Answer:

i have done it (*_*)

add them together then you should get 180 add 16 into it which should giver you 196 then divide by 4 which should give you 14.

Answer:

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

Answer:

constant monomial

Step-by-step explanation:

The polynomial, 9, has 1 term and its degree is 0. Therefore, the polynomial is a constant monomial.

The given expression is a constant monomial. Therefore, option A is the correct answer.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Here given expression is 9.

A constant monomial is a term with only a constant number. There is no variable in a constant monomial.

So, 9 is a constant monomial.

The given expression is a constant monomial. Therefore, option A is the correct answer.

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Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

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

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

These are all the shapes

Answer:

3%

hope this helps!

Step-by-step explanation:

The closest probability of a randomly selected person in the city having red hair is approximately 0.03 (or 3%).

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

A certain city has a population of around 100,000 people. In the city, there are 3,101 people with red hair.

The required probability can be calculated by dividing the number of people with red hair by the total population of the city:

= 3,101 / 100,000

= 0.03101,

It can be rounded to 0.03.

Thus, the required probability is 0.03.

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Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

Answer:

let the opposite angle of 44 be x

and let opposite angle of z be y

44+52 + x=180( by sum of all angle is 180°)

96+x=180

x= 180-96

x=84

y+x=180 ( linear pair angle)

y+84=180

y=180-84

y=96

now the y, z,40 are triangle.

y+z+40=180( by sum of all angle)

96+z+40=180

z+136=180

z=180-136

z=44

4. 0.15(with a bar on 15)

6. B,D

7. ...haha...refer to the attachment plzz..:P I don't wanna type too much...

12. 1331

13. 2.56

Answer:

(a) [tex]y = 4.5x + 22[/tex] -- The equation

(b) 31 inches

Step-by-step explanation:

Given

See attachment

Solving (a): The equation of the trend line.

We start  by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,22)[/tex]

[tex](x_2,y_2) = (4,40)[/tex]

So, we have:

[tex]m = \frac{40 - 22}{4 - 0}[/tex]

[tex]m = \frac{18}{4}[/tex]

[tex]m = 4.5[/tex]

The equation is then calculated using:

[tex]y = m(x-x_1)+y_1[/tex]

Where:

[tex](x_1,y_1) = (0,22)[/tex]

[tex]m = 4.5[/tex]

[tex]y = 4.5(x - 0) + 22[/tex]

Open bracket

[tex]y = 4.5x - 0 + 22[/tex]

[tex]y = 4.5x + 22[/tex]

(b) The height of a 2 year old.

To do this, we substitute 2 for x in [tex]y = 4.5x + 22[/tex]

[tex]y = 4.5 * 2 + 22[/tex]

[tex]y = 9+ 22[/tex]

[tex]y = 31[/tex]

The prediction is 31 inches

Answer: Option 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Because it is

Answer:

200

Step-by-step explanation:

400/2 = 200

Answer:

9

Step-by-step explanation:

f(x)=x^2

f(-3)=(-3)^2=(-3)(-3)=9

Answer:

[tex] \large \boxed{f( - 3) = 9}[/tex]

Step-by-step explanation:

Goal

Given

[tex]f(x) = {x}^{2} [/tex]

Step 1

[tex]f(x) = {x}^{2} \\ f( - 3) = {( - 3)}^{2}[/tex]

Évaluate f(-3) as we get:

[tex]f( - 3) = 9[/tex]

Hence, the value of f(-3) is 9.

Answer:

wuts trailmakers...

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

5^2=25

6 times 25=150

Hope I helped!

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

Answer:

True

(Angle-Side-Angle)

The triangles shown below must be congruent is a True Statement.

We have two Triangles in which

There are three angles Congruent in both Triangles.

Also, the side of the triangle is congreunt.

As we know that there is no Criteria which as congruency rule AAA Criteria.

So, we can take two Congruent angles and one Congruent side.

Thus, the statement is True.

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Answer:

x=97° a=97° b=97°

Step-by-step explanation:

83°+a=180° (by linear pair)

a=180°- 83°

a=97

and a=x°(by corresponding angle)

x= 97°

x=b(by vertical opposite angle)

b = 97°

Answer:

Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.

Let A = number of hours first mechanic worked (the one who charged $45/hour)

Let B = number of hours second mechanic worked (the one who charged $105/hour)

From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:

Equation 1: A hours + B hours = 35 hours

We also know that in total, the charge was $2475.  So the second equation is:

Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars

So our two equations are:

1: A + B = 35

2: 45A + 105B = 2475

Multiply both sides of the first equation by -45 to get the following:

-45A - 45B = -1575

Now the two equations are:

1: -45A - 45B = -1575

2: 45A + 105B = 2475

Add them together and the "A" term drops out:

-45B + 105B = -1575 + 2475

or

60B = 900

Now divide both sides by 60:

B = 15

Now plug B = 15 into the first equation:

A + 15 = 35 thus A = 20

So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours

Check: 20x45 + 15x105 = 900 + 1575 = 2475

Step-by-step explanation:

hope it helps you (:

Answer:

350 kilómetros por hora son 97,2222 metros por segundo ;)

The result of converting 350 km/h to meter per second is 97.22 m/s.

To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.

The conversion factor for this conversion is 1 km/h = 0.2778 m/s.

To convert 350 km/h to m/s, multiply 350 by the conversion factor:

350 km/h×0.2778 m/s

= 97.22 m/s

Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.

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Answer:

c=93

=23-16=7

7+93=100

hence proved

Answer:

math is hard for me but yeah a good place to find answers is here or ggl maybe search on gg and the at the end put answer key i do that a lot hope my

Step-by-step explanation:

explanation helps

Answer:

4

Step-by-step explanation:

Answer:

its 4 u should know this LOLLLL

Step-by-step explanation:

Answer:

2) (see image below)

3) x = 8  

   side(s) = 74

4) x = 10

   EF = DE = 67

   base = 31

Step-by-step explanation:

For No. 2, if you draw out two triangles with the corresponding angles, you can make it a lot easier. See the image below:

For No. 3, it is given that it's an equilateral triangle, meaning all sides and angles are congruent. So:

12x – 22 = 10x – 6 = 7x + 18

Instead of using all three at once, you can use any two. I'll be using:

12x – 22 = 10x – 6

2x = 16

x = 8

Plugging x in, we can get all the sides, because this is an equilateral triangle:

12x – 22

12(8) – 22

96 – 22

74

For No. 4, it is given that the triangle is an isosceles triangle where DE ≅ EF, so:

8x – 13 = 5x + 17

3x = 30

x = 10

Plugging in x for one of the congruent sides and the base, you can get your needed side length values:

8x – 13

8(10) – 13

80 – 13

67

x + 21

10 + 21

31

Answer: Option 2

Step-by-step explanation: