A boy 1.5 m tall is standing 12 m away from a church building which has a tower on top of its roof. The top of the cross on the tower is 14.6 m away from the boy’s head (eyes). If the boy has to raise his eyes through an angle of 31° in order to see the top of the roof, calculate,Correct to the nearest degree, the angle through which the boy must raise his eyes to see the top of the cross on the tower.
Correct to one decimal place, the height of the top of the cross from ground.
Correct to one decimal place the height of the church building.​

Answer:

6x - 3y

Step-by-step explanation:

First find the sum

10x - 2y - 3y

10x - 5y

Now do the subtraction

10x - 5y - (4x - 2y)            Remove the brackets.

10x - 5y - 4x + 2y

10x - 4x = 6x

-5y + 2y = - 3y

Answer

6x - 3y

Answer:

Step-by-step explanation:

Group the like terms:

4x-2x+6-5+9

Add the similar elements:

2x+6-5+9

Add/Subtract the numbers:

2x+10

Answer:

Step-by-step explanation:

- A cylindrical fish tank can hold approximately 502.40

cubic inches of water. If the height of the fish tank is

10 inches, what is the radius of the tank? Use 3.14 for

the answer, 6.86

-(x+1)^2 + 3

move 3 units up, 1 unit to the left, and a reflection from x^2.

Answer:

in order from left to right : NO, NO, YES, NO, YES, NO

Step-by-step explanation:

here's how you can tell! if any point on the line (or singular point) lines up VERTICALLY with a different point, it automatically is not a true function. thats why a vertical slope is "undefined" because its not a function.

i hope this made sense... have a good day !

Answer:

it is 5 units

Step-by-step explanation:

All you have to do for this one is subtract 6-1 which equal 5 units. This only works in this one because is says at the end -2 on both the numbers.

Answer:

the answer .08

Step-by-step explanation:

Answer:

0.08

Step-by-step explanation:

2.49 divided by 30 gives you 0.08 so it's 8 cents per ounce

Answer:

(x, y) → (x + 5, y – 3)

Step-by-step explanation:

Refer to a graph. It helps.

Up = +

Down = -

Right = +

Left = -

Answer:

actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)

Step-by-step explanation:

got 100% on my e2020 unit test! ;D

Answer:

-1/2

Step-by-step explanation:

-1/2 is -0.5

-7/10 is -0.7

-0.5 is closer to 0 which means it is greater than -0.7

Answer:

7/25. then do 25-7. take that answer and divide by seven

Step-by-step explanation:

also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator

Answer:

[tex]6y^{2}[/tex][tex]+ 2x^{2}[/tex]

Step-by-step explanation:

[tex]2y^{2} +2y+2y + 2x^{2}[/tex]

add the like terms and you get your answer :3

Answer:

Eliminate redundant parentheses

( − 5 ) = 1 − 5 = 1

Divide both sides of the equation by the same term− 5 = 1

-5x/-5 = 1/-5

Simplify

Cancel terms that are in both the numerator and denominator

-5x/-5=1/-5     x=1/-5

Divide the numbers

x=-1/5

Step-by-step explanation:

ANSWER x=-1/5

Answer:

Step-by-step explanation:

That is correct.

P=4s=4(12)=48in

A=s^2=12^2=144in^2

Answer:

You are correct

Step-by-step explanation:

Tiffany is buying a square-shaped tile to remodel her bathroom, we know that the tiles have a side length of 12 inches.

When it comes to perimeter, you add all side lengths together, for area, you multiply the side length twice.

Therefore :

P = 4L

L = 12

P = 4(12)

P = 48

A = L^2

A = 12^2

A = 144

Answer:

[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Step-by-step explanation:

Step 1: Define

68 revolutions per minute

Step 2: Identify Conversions

2π rad per revolution

60 seconds = 1 minute

Step 2: Convert

Answer: 500/700

Step-by-step explanation:

Multiply the numerator and denominator by 100.

Answer:

500/7

Step-by-step explanation:

5/7 × 100 =

5/7 × 100/1

5 × 100 / 7 × 1

= 500/7

Answer:

A.

Step-by-step explanation:

correct answer is

[tex]y=100*(0.91)^x.[/tex]

if to compare the values of the y, (0;100), (1;91), (2;82.81), (3; 75.3571), then

75.3571/82.81=82.81/91=91/100=0.91, it means the next value is decreased at 9%.

Answer:

Area = 49π

Step-by-step explanation:

circle Area = π x (radius)²

Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.

So r = 7, where 'r' is the radius.

Area = π x r² = π(7)² = π(49)

Area = 49π is the exact answer, so it is the one I prefer.

Area = 153.86 is the decimal you get if you multiply 49 x 3.14

Hope this helps.

Answer:

0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

To solve this question, we need to know the combinations formula and conditional probability.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?

Event A: Contains both men and woman

Event B: Consists of two men and 1 woman.

Probability of containing both men and woman:

Desired outcomes:

2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So

[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]

Total outcomes:

3 people from a set of 6 + 9 = 15. So

[tex]T = \frac{15!}{3!12!} = 455[/tex]

Probability:

[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]

Intersection of events A and B:

Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So

Desired outcomes:

2 men(from a set of 6) and 1 woman(from a set of 9).

[tex]D = C_{6,2}*C_{9,1} = 135[/tex]

Total outcomes:

3 people from a set of 6 + 9 = 15. So

[tex]T = \frac{15!}{3!12!} = 455[/tex]

Probability:

[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]

Desired probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]

0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.

Answer:

creo que es 15

Step-by-step explanation:

Answer:

can u translate for english?

Step-by-step explanation:

I can't understand

Answer:

0° to 90°: reference angle = angle ,

90° to 180°: reference angle = 180° - angle ,

180° to 270°: reference angle = angle - 180° ,

270° to 360°: reference angle = 360° - angle .

Step-by-step explanation:

Definition of Reference Angle: Let θ be a non-quadrantal angle in standard position. The reference angle of θ is the acute angle θR that the terminal side of θ makes with the x-axis. If θ is in QI, θR = θ If θ is in QII, θR = 180° – θ or π – θ If θ is in QIII, θR = θ – 180° or θ – πThe reference angle of 240° is 60°. To find the reference angle of a given angle, A, with measure x°, we start by adding or subtracting. You can see that the terminal side of the 135° angle and the x-axis form a 45° angle (this is because the two angles must add up to 180°). This 45° angle, shown in red, is the reference angle for 135°.

Answer:

A = 2(11 + 6x)

Step-by-step explanation:

GCF = Greatest Common Factor (remember example: 12 and 16 gcf = 4 because it is the largest number they have together. 12 = 4 * 3 and 16 = 4*4)

22 and 12's GCF is 2:

22 = 2*11

12 = 2*6

Using the distributive property, we can find out that A is the right answer.

However, let us check the other options:

B does not make sense because 6*5 is 30. 6 only applies to 12

C is not correct because it does not apply to 22 or 12

And D only applies to 12 as well because 4*3 = 12 but 4*6 is 24

A should be the answer so I hope this helps!

Combine like terms

5y^2+5y+5y+5x^2

5y^2+10y+5x^2

Rearrange terms

5y^2+10y+5x^2

5x^2+5y^2+10y

Solution

5x^2+5y^2+10y

Answer:

Answer is 160.00

Step-by-step explanation:

*proportion*

3hours/12cars

8hours/ (x) cars

X=32

Answer:

I think they would earn $40 buckeroos in 8 hours

Step-by-step explanation:

$5.00 x 8 hours = $40.00

I hope this was right & helpful ^w^

Answer:

[tex]B = \fra{3V}{h}[/tex]

Step-by-step explanation:

Given

[tex]V = \frac{Bh}{3}[/tex]

Required

Make B the subject

[tex]V = \frac{Bh}{3}[/tex]

Multiply both sides by 3

[tex]3 * V = \frac{Bh}{3}*3[/tex]

[tex]3V = Bh[/tex]

Divide both sides by h

[tex]\fra{3V}{h} = \frac{Bh}{h}[/tex]

[tex]\fra{3V}{h} = B[/tex]

[tex]B = \fra{3V}{h}[/tex]