Two Points P and Q, 25 meters apart, are on the same Straight line, the same side and the same ground Level as the foot of the tower. If the angle depression of P and Q from the top of the tower are 33 and 40° respectively, find to the nearest metre, the; 1.distance from Q to the foot of tower. 2.height of the tower.​

Answer:

28

Step-by-step explanation:

2[3*5]-2

2*15-2

30-2

28

Answer:

part a-24 questions

part b-2 or 3 more questions

Step-by-step explanation:

part a-to find the number, change the percent into a decimal (.75) and multiply (24)

part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)

Answer:

The answer is 11.8 m

Step-by-step explanation:

Hey Mate,

the volume of a cuboid is = whl....so the volume of it is the capacity of the tank

so 3 x 1.8 x 2.2 = 11.88 m is the answer

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Explanation:

Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.

The base of each triangle is 22/5 = 4.4 cm

The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.

The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.

Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm

Answer:

165

Step-by-step explanation:

The formula for the area of the pentagon is 5/2 × s × a. 

5/2×22×3

5/2 × 66/1= 66÷2

=33

33×5=165

Answer:

no bc pythagorean

Step-by-step explanation:

Answer:

B

We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.

Answer:

B. (8*2) -6

Step-by-step explanation:

Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

Answer:

x = 17

Step-by-step explanation:

(5x-23) + (7x-1) = 180

12x - 24 = 180

12x = 204

x = 17

Answer:

x = 17

Step-by-step explanation:

The 2 given angles are same- side interior angles and sum to 180° , then

7x - 1 + 5x - 23 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

Answer:

there are 6 type of tryingle hope it helps

Answer:

x = 27

Step-by-step explanation:

3x - 4y = 65

3x = 65 + 4y

Find x, when y = 4

3x = 65 + 4 (4)

3x = 65 + 16

3x = 81

x = 27             [tex][ \ x = \frac{81}{3}\ ][/tex]                    

Answer:

C) divide the numerator by the denominator

Step-by-step explanation:

Example

6/3=2/1

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Explanation:

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

5 ft, 3 in = 63 inches (add 3 inches to both sides)

Through similar steps, you should find that 4 ft 8 in converts to 56 inches

The difference is 63-56 = 7 inches

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium

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Explanation:

f(x) is shown in the blue dashed line, while g(x) is a solid black line.

When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.

This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.

The vertex of each V shape is the same and that's at the origin (0,0).

No translations (horizontal or vertical shifting) are occurring.

The graph that shows the function g(x) = 3|x| is graph B.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)

Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.

Hence graph B is correct.

More can be learned about translation click;

brainly.com/question/27950531

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Answer:

What’s the question

Step-by-step explanation:

Answer:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent

Step-by-step explanation:

mark me as BRAINLIEST

follow me

carry on learning

Answer:

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:

[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D

7

Hope this helps! :)

______________

Answer:

very easy there are 42 students because every student needs a bookmark for each of their groupmates

Answer:

it's -2 because the lowest the the line is is at the -2 mark under 0

The lowest value of the range of the function is -2, as shown on the graph. The correct answer is an option (B).

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.

The point is (3, -2), where the function reaches its minimum value.

The y-coordinate of this point represents the lowest value of the range of the function.

Here, the y-coordinate is -2.

Thus, the lowest value of the range of the function is -2.

Learn more about the lowest value of the range here:

https://brainly.com/question/9384609

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Answer:

527 grams

Step-by-step explanation:

Use the density formula, d = m/v

Plug in the density and volume, then solve for m (mass):

d = m/v

0.85 = m/620

527 = m

So, the mass is 527 grams

Answer:

31°,59°

Step-by-step explanation:

csc (2x+9)=sec(3x+26)

1/sin(2x+9)=1/cos (3x+26)

sin (2x+9)=cos(3x+26)

cos (90-2x-9)=cos(3x+26)

90=3x+26+2x+9

5x+35=90

5x=90-35=55

x=55/5=11

2x+9=2×11+9=31°

3x+26=3×11+26=59°

Answer:

Step-by-step explanation:

I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:

[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:

[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to

[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to

[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:

[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:

[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to

[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple

[tex]cos^2(x)[/tex]

Answer:

Kindly check explanation

Step-by-step explanation:

From the boxplot attached :

Summer lake :

Median = 60 ( point in between the box)

Variability is given by the Range = maximum - minimum = 80 - 40 = 40

Maximum number of visitors = 80

Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day

Canyon Overlook:

Median = 80 ( point in between the box)

Variability is given by the Range = maximum - minimum = 120 - 30 = 90

Maximum number of visitors = 120

Answer:

There are 31 perfect squares between 1 and 1000

Hope it helps❤️