On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of elevation is 5 degrees from the victim, at what vertical distance did the sniper shoot from

Answer:

4.5m

Step-by-step explanation:

The set up is a right angles triangle

Height of the shed = opposite side = 6cm

Distance of the ladder from the shed = adjacent = 4.5m

Lenght of the ladder = Hypotenuse = x

Using pythegoras theorem to find the length of the ladder

hyp² = opp²+adj²

hyp² = 0.06² + 4.5²

hyp²= 0.0036+20.25

hyp² = 20.2536

hyp = √20.2536

hyp = 4.50m

Hence the length of the ladder is 4.5m

Answer:

point zero zero three eight three

Answer: three thousandths

Step-by-step explanation:

hope this helped

Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Answer:

I think it's -3

hope it's right:)

Step-by-step explanation:

[tex] \sf{ \huge{( - 5) + 2}}[/tex]

While adding or subtracting integers with unlike signs , subtract and keep the sign of the higher integer. In our case , subtract 2 from 5 and keep the sign of higher integer i.e ( - )

⟿ [tex] \sf{ \huge{ \boxed{ { - 3}}}}[/tex]

Hope I helped ! ♡

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Answer:

6 hours

Step-by-step explanation:

48 + 8.80

56.8 + 8.80

65.6 +8.80

74.4 + 8.80

83.2 +8.80

92 + 8.80

100.8

Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

The fraction that represents the book john has left to read is 5/12.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.

Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -

1/3 + 1/4 + x/y = 1

x/y = 1 - 7/12

x/y = 5/12

Therefore, the fraction that represents the book john has left to read is 5/12.

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Answer:

Only B is linear

Step-by-step explanation:

Step-by-step explanation:

2^400=2^(2×200)

2^(2×200) =[2^(2) ]^200

Now, [2^(2) ]^200=4^200

The power  of 2 in 400! is 397.

Let p is the prime number whose power is to be found

Let n is the factorial number then

p in n! = (n /p) + (n/p²) +(n/p³) + .......

until Numerator < Denominator

and after division only the integer part is taken

Therefore to determine the power of 2 in 400!

2 in 400! = (400 /2) + ( 400 /2²) + (400 /2³) +(400 /2⁴) +(400 /2⁵) +(400 /2⁶) +(400 /2⁷) +(400 /2⁸) + above this N < D

2 in 400! = 200 +100 +50+25+12+6+3+1

2 in 400 = 397

Therefore the power  of 2 in 400! is 397.

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Answer:

70%

Step-by-step explanation:

385/550 giving you a decimal of 0.7 which is 70%

Question

Find cos θ for θ = 60°

Answer:

Slope of XZ = -5/9

Slope of YZ  = 2/7

Slope of XY  = -7/2

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

For XZ

X(−5, 5), and Z(4, 0)

Slope of XZ = 0-5/4-(-5)

Slope of XZ = -5/4+5

Slope of XZ = -5/9

For YZ

Y(−3, −2), and Z(4, 0).

Slope of YZ = 0-(-2)/4-(-3)

Slope of YZ = 2/4+3

Slope of YZ  = 2/7

For XY

X(−5, 5), Y(−3, −2)

Slope of XY = -2-5/-3-(-5)

Slope of XY = -7/-3+5

Slope of XY = -7/2

For two lines to be perpendicular, the product of their slope must be -1

Taking the product of XY and YZ

mXY * mYZ = -7/2 * 2/7

mXY * mYZ  = -1

since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle

Answer: None of the choices is correct.

6,714÷103 is about 65.184

Step-by-step explanation:

The closest answer is the second choice. But there must be a typo in the question.

6,714÷100 = 67.14

I hope this helps. You might be able to ask your teacher about the mistake in the question.

Answer:

It has only 1 pair of parallel sides.

Step-by-step explanation:

Answer:

It has only 1 pair of parallel sides

Step-by-step explanation:

Answer:

5^8 .. you have to do it like this 5^(2×4)

Answer:

true

Step-by-step explanation:

its TRUE :)

Answer:

False

Step-by-step explanation:

Take a=-1 and b=-1/7

-3+-15/7=-36/7 which is not divisible by 3. There are several other examples which I don't even need to prove

Answer:

Choice c. [tex]\sqrt{12}[/tex]

Step-by-step explanation:

Vectors

Suppose we have a vector v defined as

[tex]\vec v=a\mathvf{i}+b\mathvf{j}[/tex]

The magnitude of the vector is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{a^2+b^2}[/tex]

On the other hand, the dot product of the vector by itself is:

[tex]\vec v\cdot\vec v=a*a+b*b=a^2+b^2[/tex]

Note the relation between these two operations is:

[tex]\mid\mid\vec v\mid\mid=\sqrt{\vec v\cdot\vec v}[/tex]

Since we are given:

[tex]\vec v\cdot\vec v=12[/tex], then:

[tex]\mid\mid\vec v\mid\mid=\sqrt{12}[/tex]

Choice c) [tex]\sqrt{12}[/tex]

Answer:

C = 62.8 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

r = 10 cm

Step 2: Find C

Answer:

62.8

Step-by-step explanation:

Radius is 10, so the diameter is 20 (10x2)

20 x 3.14(pi)= 62.8

Answer:

6/7

Step-by-step explanation:

1 x 7/6 x 6/7 = 1

A scale factor of 6/7 would shrink the dilated figure back to its original size.

To return the dilated figure back to its original size, you would need to use a scale factor that is the reciprocal of the original dilation scale factor. The reciprocal of a fraction is obtained by flipping the numerator and denominator.

Given the original dilation scale factor of 7/6, the scale factor that would shrink the dilated figure back to the original size is:

Reciprocal of 7/6 = (6/7)

So, using a scale factor of 6/7 would shrink the dilated figure back to its original size.

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Answer: yes

Step-by-step explanation:

C A B E D

i think this is the answer

Answer:

a)x=-2.5 or x=1

Step-by-step explanation:

it's the answer

hope It helps

Answer:

They are both the same

Step-by-step explanation:

(ratio of brown eyes to blue eyes)

Ms. Abbott's class- 18:12

Ms. Downey's class-  15:10

if you simplify both of the ratio's you'll get 3:2 for both of them. Therefore both classes have the same ratio of brown eyes to blue eyes.

Answer: The answers are all of the options except for B.

Step-by-step explanation:

Option A. 4/1 x 4/3 is 16/3. 16/3 > 1

Option B. 1/3 x 1/10 is 1/30. 1/30 < 1

Option C. 5/6 x 5/2 is 25/12. 25/12 > 1

Option D. 25/8 x 8/23 is 200/184. 200/184 > 1

Option E. 9/7 x 7/8 is 63/56. 63/56 > 1

Hence, the correct answer is option A, C, D, and E.

Answer:

Because of the distance from the sun to the earth being 2 meters and 25 inches, we can infer that the 1st president of Canada was Ben Franklin. Ben Franklin is on the 7 dollar bill, which means the Illuminati is real. This means the radius of the earth traveling to the sun from mars to jupiter would be a total of 6.96969696969669 milimeters. So in conclusion, yes she was old enough.

Step-by-step explanation:

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

Answer:

Slope = -⁵/2

y-intercept = 6

Step-by-step explanation:

The equation, [tex] y = -\frac{5}{2}x + 6 [/tex], is given in the slope-intercept form, y = mx + b

Where:

m = slope

b = y-intercept

Therefore:

Slope of the equation = -⁵/2

y-intercept if the equation = 6

Answer: 0.0049 hope this is right

Answer:

18%

Step-by-step explanation:

First, we need to find out the underage of 15 for walking/biking. 152-65=87

then we subtract 87 and 60 from 165 to get 18%

Answer:

where is the graph??

Step-by-step explanation: