A five foot tall girl casts a 7 foot long shadow. A nearby telephone pole casts a 35 foot long shadow. What is the height of the telephone pole?

Answer:

3x-10=56

3x=56+10

3x=66

3x/3 = 66/3

x=11

79-y=2x

79-y=2(11)

79-y=22

79-22=y

y=57

therefore x=11 and y=57

3x-10=56

79-y=2x    so y=-2x+79

(Solve 3x−10=56 for x):

3x−10=56

3x−10+10=56+10 (Add 10 to both sides)

3x=66

(Divide both sides by 3)

x=22

(Substitute 22for x in y=−2x+79):

y=−2x+79

y=(−2)(22)+79

y=35 (Simplify both sides of the equation)

Answer:

x=22 and y=35

The value of e in the diagram is 71 degree

Angles in alternate segment are equal. The angle between the tangent and the side of the triangle is equal tot the opposite interior angle.

Therefore,

∠TPQ = 19°

∠QPR = 180 / 2 = 90° (angle at the centre is double the angle at the circumference)

Therefore,

109 + e = 180

e  =180 - 109

e = 71°

learn more on circle theorem here: https://brainly.com/question/26168678?referrer=searchResults

Answer:

x = −2 or x = 4.23606797749979 or x = −0.2360679774997898

Step-by-step explanation:

Subtract x^3-2x^2-9x-2 from both sides.

0 − (x3−2x2−9x−2) = x3−2x2−9x−2 − (x3−2x2−9x−2)

−x3+2x2+9x+2=0

Factor left side of equation.

(−x−2)(x2−4x−1)=0

Set factors equal to 0.

−x−2=0 or x2−4x−1=0

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: [tex]7y(-4x + 5)[/tex]

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a \times b + a \times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given expression is [tex]-28xy + 35y[/tex]

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

[tex]-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)[/tex]

Thus,

The expression which is equivalent to the given expression is given by

Option D: [tex]7y(-4x + 5)[/tex]

Learn more about equivalent expressions here:
https://brainly.com/question/10628562

Answer:

(3, -4)

Step-by-step explanation:

Lines are intersecting at points (3, -4).

So, the solution of the given system of equations is (3, -4).

Hope it helps you in your learning process.

Answer: 0.75 - (1 - 0.35)

Step-by-step explanation:

First we must represent the length of rafael's poster as an expression:

(1 - 0.35)

Now, the difference in length of the posters is

Sofia's Poster - Rafael's Poster = 0.75 - (1 - 0.35)

Answer:

x=3 and y=2

Step-by-step explanation:

first you rearranging the values

2x - y = 4 ...............(i

3x + y = 11 ..............(ii)

make y the subject of formular from ii

y=11 - 3x .............(iii

substitutes equ. (iii) into (i)

2x - (11-3x) = 4

2x - 11 + 3x = 4

5x = 15

x = 3

substituting x into equ. (iii) we have:

y = 11 - 3(3)

y = 11 - 9

y = 2

Answer:

X = 3 and Y = 2

Good Luck!!

‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ 

what is f(-3) is another way to say "what is the value of f(x) when x = -3?", well for that we can simply look at the piece-wise function graphed, Check the picture below.

Answer:

1 and 1/4 cups of floour is used to make one pie. Since 7 and 1/2 cups is used for 6 pies we divide the 7 and 1/2 cups by the 6 pies. 7 and 1/2 cups is equivalent to 15/ 2 cups. 15/2 divided by 6 is equal to 15/2 times 1/6. This comes out to 15/12, which simplifies to 5/4, which is equivalent to 1 and 1/4 cups

Answer:

well i was oin to search up how many cups of four are in a pie but it didnt show, it just showed how to make a pie or something but i think what uou would do is divide 12 by 1/4 which would be 3 cups of flour

Step-by-step explanation:

1) divide 12 to 1/4

2) =3

for 7 pies you need 21 cups of flour and for one you need 3

if i am wrong im sorry

Answer: Choice C

{1, 1, 2, 3, 5}

===============================================

We have

[tex]a_1 = 1\\a_2 = 1[/tex]

Showing the first two terms are 1,1.

The answer is between choices B and C because of this.

To get the nth term [tex]a_n[/tex], we add up the two previous terms before it [tex]a_{n-1}[/tex] and [tex]a_{n-2}[/tex]

So to get the third term [tex]a_3[/tex], we'll add up the first two terms

[tex]a_n = a_{n-2} + a_{n-1}\\\\a_3 = a_{3-2} + a_{3-1}\\\\a_3 = a_1 + a_2\\\\a_3 = 1 + 1\\\\a_3 = 2[/tex]

The third term is therefore 2.

The sequence so far is {1,1,2} which matches with the first three terms of choice C.

Then we can say:

[tex]a_4 = a_2 + a_3\\\\a_4 = 1+2\\\\a_4 = 3[/tex]

Further confirming the answer. I'll let you check the next set of terms.

For more information, check out the Fibonacci numbers.

Answer:

3/8 cup of corn starch per cup of water

Step-by-step explanation:

hope dis help

Answer:

g + 3d

Step-by-step explanation:

aaaaaaaaaaaaaaaaaa

An expression for the cost of a seven-line ad is g + 3d.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

A local newspaper charges g dollars for a four-line classified ad.

Each additional line costs d dollars.

An expression for the cost of a seven-line ad is,

= g + 3d

Therefore, the expression is g + 3d.

To learn more about the expression;

brainly.com/question/24242989  

#SPJ2

Answer:

35<A<36

Step-by-step explanation:

i dont understand the second question we study in french :(

Step-by-step explanation:

look at the green point.

what is the closest whole number to the green point ?

to me it is very clearly 35.

you understand what a whole number is ?

it is a number without any fractional part.

so, like 1, 2, 3 ...

and not like 1.5, 0.33, 17.892 ...

and the nearest ten (number)?

what that means is something like 10, 20, 30, ...

so, clearly, from the position of A, it is closer to 40 than to 30 (as it is right of the middle 35).

therefore, A rounded to the nearest ten is 40.

Answer:

(190*3)=x

x being the original price

x÷3=190

x=570 is the original price

Answer:

7.722 cm^2

Step-by-step explanation:

Step 1: Find the area of the square.

Step 2: Find the area of the circle.

Step 3: Subtract area of circle from area of square.

Therefore, the area of the shaded region is 7.722 cm^2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

sinQ=14/50

sinR=48/50

cosQ=48/50

cosR =14/50

tanQ=14/48

tanR=48/14

Answer:

Step-by-step explanation:

Hypotenuse(h)=50

For Q

Perpendicular(p)=14

Base(b)=48

→SinQ=p/h=14/50=7/25

→CosQ=b/h=48/50=24/25

→TanQ=p/b=14/48=7/24

For R

Perpendicular(p)=48

Base(b)=14

→SinR=p/h=48/50=24/25

→CosR=b/h=14/50=7/25

→TanR=p/b=48/14=24/7

Answer:

Step-by-step explanation:

The key is what makes 9?

The left side should be 3 * 3 / 4 * 3 or

3 * 3              9

-------     =    -------

4 * 3              12

Answer:

x = 3

Step-by-step explanation:

(66) + (8x) = 90

x = 3

hope this helps!!!

Answer:

x = 3

Step-by-step explanation:

These are complementary angles, which means that the angles added up together should equal 90°. So...

8x + 66 = 90 (Solve for x) (Subtract 66 from both sides to get x on one side)

8x = 24 (divide both sides by 8 to get x by itself)

x = 3

Step-by-step explanation:

25% off means dress will cost 75% of original price.

3/4 * 72 = $58.

yes she has enough money

Answer:

Slope = 0

Step-by-step explanation:

Slope = [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]

Slope = [tex]\frac{-10 -(-10)}{-19-(-7)}[/tex] = 0

Also, just by looking at these points you can determine that the slope is zero because the y value does not change between these points.

Answer:

2/1 or 2 per hour

Step-by-step explanation:

divide 4 by 2 and make it a fraction like thing

Answer:

[tex](Number\ of\ Hours) / (Total\ Pottery\ Pieces)[/tex]

[tex](2\ hours) / (4\ pieces)[/tex]

[tex]0.5\ hours\ per\ piece[/tex]

The artist makes a potter piece in 30 minutes or 0.5 hours

Answer:

n = 20

Step-by-step explanation:

[tex]\frac{n+4}{6}[/tex] = 4

You need to get rid of the 6 in the denominator on the left hand side to make it easier to solve, so multiply both sides by 6. So you would get:

( [tex]\frac{n+4}{6}[/tex] ) × 6 = 4 × 6

n+4 = 24

Then just rearrange for n by subtracting 4 on both sides.

n+4 = 24

n= 24-4

n=20

Answer:

10/3

Step-by-step explanation:

1. Divide:

[tex]\frac{n+4}{6}=4[/tex]

[tex]\frac{n+2}{3} =4[/tex]

2. Subtract [tex]\frac{2}{3}[/tex] from both sides of the equation

3. simplify

Answer: N = [tex]\frac{10}{3}[/tex]

Answer:

3 miles

Step-by-step explanation:

21/7=3

Answer:

x = 28

Step-by-step explanation:

The angle is 90 degrees. (right angle)

Based on the information given, part of the angle is 33 degrees.

Given this information, 2x + 1 = 90 - 33

90 - 33 = 57

2x + 1 = 57

2x + 1 - 1 = 57 - 1

2x = 56

56 / 2 = 28

Answer:

x=28

Step-by-step explanation:

1) 2x+1+33= 90

2) 2x+34=90

3) 2x= 56

4) x= 28

Answer:

Volume of the silo is 7772 cubic ft.

Answer:

32 is the answer

hope this help u

Answer:

A graph increases when the line or bar is goi g up.

Answer:

-49/4

Step-by-step explanation:

(13)(-1 exponet 3) (-3)(4 exponet-1)

negative exponet move the x an y to the detonator.

13/-1)-(-3/4)= -12 1/4 = -49/4

Answer:

4) How many total miles Cathy drives to work after 5 days

Answer:

The answer is 4

Step-by-step explanation:

It is asking the total miles she drives TO work (not there and back) after 5 days