For a project in his Geometry class, Mamadou uses a mirror on the ground to measure the height of his school's football goalpost. He walks a distance of 13.75 meters from his school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 2.6 meters to the other side of the mirror, until he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.75 meters . How tall is the goalpost? Round your answer to the nearest hundredth of a meter .

Answer:

We can first, determine two points on the line:

For:

x

=

0

y

=

0

−

6

y

=

−

6

or

(

0

,

−

6

)

For:

x

=

6

y

=

6

−

6

y

=

0

or

(

6

,

0

)

Next, we can plot these two points on the grid:

graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)=0 [-20, 20, -10, 10]}

Now, we can draw a line through the two points to graph the line for the equation:

graph{(x^2+(y+6)^2-0.125)((x-6)^2+y^2-0.125)(y-x+6)=0 [-20, 20, -10, 10]}

Answer:

.14

Step-by-step explanation:

A|B (or A given B)= A and B/B

So

Walk to school | senior= (walk to school and senior)/Senior

walk to school and senior= 5

senior= 25+5+5= 35

5/35= .14

Answer:

Step-by-step explanation:

x : 100 = 7740 : 98 000 000

x = (7740 * 100)/98 000 000

x = 0.007898 %

A percentage is a hundredth of a number      Then                                                    [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]                                                      

Given:

The expressions are:

[tex]6+3[/tex]

[tex]6+(-4)[/tex]

[tex]6+(-6)[/tex]

To find:

The value of given expression by using integer tiles.

Solution:

We have,

[tex]6+3[/tex]

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

[tex]6+3=9[/tex]

Similarly,

[tex]6+(-4)[/tex]

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

[tex]6+(-4)=2[/tex]

[tex]6+(-6)[/tex]

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

[tex]6+(-6)=0[/tex]

Therefore, [tex]6+3=9, 6+(-4)=2,6+(-6)=0[/tex].

Answer:

1=9

2=2

3=0

Step-by-step explanation:

Hello,

[tex]sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\[/tex]

Answer A

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

Answer:

A

8.5 is the answer

If you test is going on so

all the best!

Answer:

(- 6, 12 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (6, 12 ) → A' (- 6, 12 )

Answer:

x = 110

Step-by-step explanation:

comment if you want explanation

Answer:

Step-by-step explanation:

Answer:

Number of ham sandwiches Tina made = 60

Step-by-step explanation:

Total number of sandwiches = 480

Fraction of total sandwiches which are Tuna = [tex]\frac{3}{8}[/tex]

Therefore, number of Tuna sandwiches = [tex]480\times \frac{3}{8}[/tex]

                                                                   = 180

Percentage of beef sandwiches = 35%

Therefore, beef sandwiches = [tex]480\times \frac{35}{100}[/tex]

                                                = 168

Ratio of ham sandwiches (h) and cheese sandwiches (c) = 5 : 6

[tex]\frac{h}{c}=\frac{5}{6}[/tex]

[tex]c=\frac{6}{5}h[/tex] ------(1)

Total number of Tuna sandwiches + Total number of beef sandwiches + Total number of ham sandwiches + Total number of cheese sandwiches = 480

180 + 168 + h + c = 480

h + c = 480 - 348

h + c = 132

Substitute the value of c from equation (1),

[tex]h+\frac{6}{5}h=132[/tex]

[tex]\frac{11}{5}h=132[/tex]

[tex]h=\frac{132\times 5}{11}[/tex]

[tex]h=60[/tex]

Therefore, number of ham sandwiches Tina made = 60

Answer:

You didn't send a picture from that question so we don't know what to do with it.

Given:

D be the event that a randomly chosen person has seen a dermatologist.

S be the event that a randomly chosen person has had surgery for skin cancer.

To find:

The correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist.

Solution:

Conditional probability: Probability of A given B is:

[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]

Let D be the event that a randomly chosen person has seen a dermatologist.

Let S be the event that a randomly chosen person has had surgery for skin cancer.

Using the conditional probability, the correct notation for the probability that a randomly chosen person has had surgery for skin cancer, given that the person has seen a dermatologist is P(S|D).

Therefore, the correct option is D.

Answer:

214°

Step-by-step explanation:

Full circle measure = 360°

Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)

Therefore:

Measure of arc ACB = 360° - arc AB

Measure of arc ACB = 360° - 146°

= 214°

Answer:

15x+21-24+150

15×+147

Answer:

15x + 147

Step-by-step explanation:

The given algebraic expression to us is ,

⇒ 3(5x + 7) - 6(4 - 25 )

On opening the brackets ,

⇒ 15x + 21 - 24 + 150

⇒ 15x + 147

[tex]\tt\displaystyle\ P(1+r)!= r*(r-1) *(r-2)*(r-3) ..... *1[/tex]

Check this link: https://brainly.com/question/12053038

The same question is explained here :).

Hope it helps.

B)  p and the q are switched

C) Neither p or q is negated

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

Explanation:

The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.

Here is the full list

Side notes:

Answer:

14.9 degrees

Step-by-step explanation:

For this problem you can use Tan∅=o/a and solve for the angle:

15.7 / 59 = 0.2661

Then use inverse tangent of 0.2661 to get 14.9.

Answer:

Step-by-step explanation:

As,

0.16

= 16/100

= 4/25. [Taking common factor 4 from both 16 and 100]

Answer:

[tex]12.25[/tex]

Step-by-step explanation:

Area of square is

[tex] {s}^{2} [/tex]

where s is the side length.

3.5 is s so the answer is

[tex]3.5 {}^{2} = 12.25[/tex]

Answer:

Area = 12.25 square inches

Step-by-step explanation:

[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]

Answer:

4,4,5,7,10

Step-by-step explanation:

this can be

4,4,5,7,10

5 is in the middle because 5 is median

4 appeared thrice cause it is the mode

and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30

Answer:

The 5 numbers can be: 4, 4, 5, 8, 9.

Step-by-step explanation:

In 4, 4, 5, 8, 9.     5 is the median (The middle number).

The mode is 4 because 4 is the most repeated number.

(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.

Hope this helps! :)

Answer: The question is not complete. the figure is attached below.

The polygon is a rectangle.

Step-by-step explanation:

Line 1 goes through (-2, 3)

hence the slope of line 1 = -3/2

Line 2 goes through (0, 3) (2, 0)

hence the slope of line 2 = -3/2

Line 3 goes through (0, 1) (-3, 1)

hence the slope of line 3 = 2/3

Line 4 goes through (3, 0) (0, -2)

Hence the slope of line 4 = 2/3

therefore -3/2 * 2/3 = -1

Line1 + Line3      Line1 + Line4       Line2 + Line3        Line2+Line4

because, the distance between Line1 and Line2 is not equal to that Line3 and Line4.

The polygon is a rectangle polygon.

Answer:

Step-by-step explanation:

A negative linear association between x and y means that as x increases, y decreases at the same rate, creating a line with a negative slope. This line will tend from upper left to lower right. 2 of those graphs tend from upper left to lower right, but only one of them is a linear representation. That is graph D.

Answer:

8 &-2

Step-by-step explanation:

<-------------------------->

-2-1 0 1 2 3 4 5 6 7 8

________________

-2<8 and 8>-2

Answer:

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0 ( factor out 4 from the first 2 terms )

4(x² - x) + 1 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² - x

4(x² + 2(- [tex]\frac{1}{2}[/tex] )x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² - 1 + 1 = 0

4(x - [tex]\frac{1}{2}[/tex] )² = 0

Answer:

7a + 8b + 3c

Step-by-step explanation:

Group together like terms and simplifyy

Answer:

7a + 8b + 3c

Step-by-step explanation:

2a + 5b + 7a + 3b - 2a + 3c

= 2a - 2a + 7a + 5b + 3b + 3c

= 7a + 8b + 3c

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

Answer:

Correct Answer is C

since anything after x decides if it goes up or down like +7 goes up -7 goes down i don't know what would be if it goes sideways

Answer:

15.8cm

Step-by-step explanation:

\sqrt{9^2+13^2} =15.8113883008

15.8cm