Width:____feet
Height_____feet

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Let's think of the boat and wind as vectors:

Boat Vector --> [tex]\langle28cos36^\circ,28sin36^\circ\rangle[/tex]

Wind Vector --> [tex]\langle10cos22^\circ,10sin22^\circ\rangle[/tex]

Now, let's add the vectors:

[tex]\langle28cos36^\circ+10cos22^\circ,28sin36^\circ+10sin22^\circ\rangle[/tex]

Find the magnitude (the true velocity):

[tex]\sqrt{(28cos36^\circ+10cos22^\circ)^2+(28sin36^\circ+10sin22^\circ)}\approx37.78\approx38[/tex]

Find the direction (angle):

[tex]\theta=tan^{-1}(\frac{28sin36^\circ+10sin22^\circ}{28cos36^\circ+10cos22^\circ})\approx32.32^\circ\approx32^\circ[/tex]

Thus, D is the best answer

Problem 2

Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of the vectors and [tex]||u||*||v||[/tex] is the product of each vector's magnitude:

[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{\langle-82,47\rangle\cdot\langle92,80\rangle}{\sqrt{(-82)^2+(47)^2}*\sqrt{(92)^2+(80)^2}})\\\\\theta=cos^{-1}(\frac{(-82)(92)+(47)(80)}{\sqrt{6724+2209}*\sqrt{8464+6400}})\\\\\theta=cos^{-1}(\frac{(-7544)+3760}{\sqrt{8933}*\sqrt{14864}})\\\\\theta=cos^{-1}(\frac{-3784}{\sqrt{132780112}})\\\\\theta\approx109.17^\circ\approx109^\circ[/tex]

Therefore, C is the best answer

It's a trapezoid

Now

Area:-

Answer:

13-10=3 hence, the Q of ans is 3

Answer:

8

----

125

Step-by-step explanation:

(2/5)³

2      2     2          8

--- x --- x ---  =  ---------

5      5     5         125

I hope this helps!

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Volume = length x width x height

Volume of large box = 4 x 3 x 5 = 60 cubic feet.

the volume of the smaller boxes is greater than the volume of the larger box so he cannot fit them all.

Hey there!

Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

QUESTION/EQUATION #1

x - 5 ÷ 3 + b

We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.

So, thus your answer will most likely be/

[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

QUESTION/EQUATION #2

6b + 15b ÷ 3

= 21b ÷ 3

= 7b

Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3

c - 2c × 4

REWRITE

= 1c - 2c × 4

COMBINE the LIKE TERMS

= 1c - 7

= -7c
Thus, your answer is: [-7c]

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Answer:

First one is 10x + 5 = 35

Second one is 5x + 10 = 35

Third one is 35x + 5 = 10

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

Answer:

Your answer would be:
C.) 1,350 cm2

Volume = 0.5 x b x h x length

0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer:

Bo Peep's lasso is 34ft long.

Step-by-step explanation:

Simply add 11 to 23.

Hope that helps!

Answer:

no peep lasso: 34ft

Step-by-step explanation:

11 + 23 = 34

165,400 and 220,574

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

Explanation:

The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.

The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.

-------------------------

In 220,574 we have the first "2" in the  hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.

220,574 is closer to 200,000 than it is to 300,000.

These two sections help show why choices C and D are the answers.

--------------------------

Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.

Choice A rounds to 100,000 as well, so we can rule it out also.

Choice D rounds to 1,000,000 which means we cross it off the list.

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

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

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

For the rock songs, we have three from a set of eleven, hence:

[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

For the alternative songs, we have four from a set of five, hence:

[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]

For the rap songs, we have three from a set of four, hence:

[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]

Since the songs are independent, the total number of ways is given by:

[tex]T = 165 \times 5 \times 4 = 3300[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Probability is the likelihood of occurrance of an event. It is given by:

Probability = number of occurrence / total number of possible occurence

A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.

Probability of using coupon = 32/40 = 0.8

Hence if 750 people go to this store each day, number of people sampled = 75.

Number of people expected to use the coupon = 75 * 0.8 = 60

If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon

Find out more on probability at: https://brainly.com/question/24756209

Answer:

12 cm

Explanation:

The formula or method to find the area of any shape is to go around the shape.

In this case, they are 3, 4 and 5.

p = 3 + 4 + 5

p = 12 cm

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

Answer:

6.7

please give brainliest

go into settings and click on subscription

Answer:

your answer is correct

Step-by-step explanation:

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because each dot represents one plot, and the only number with one plot above it is 1 and 1/2, aka D

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

Answer: Its 1,110

Step-by-step explanation:

Answer:

You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:

Step-by-step explanation:

P = 5s, where s is the length of a side

P = 2r × Sin(180/5), where r is the radius

Answer:

£78

Step-by-step explanation:

65 divided by 5= £13

13+65=£78

Answer:

£78

Step-by-step explanation:

Let the total value be T.

Answer:

325/377×100= 116% it means they completed 116%of the trip

Answer:

Y-Intercept: (0, -5)

Slope: 1/2

Explanation:

The y-int is when x = 0. The slope formula is (y2 - y1)/(x2 - x1) in which you use 2 points on the line.

Answer:

28.42 feet

Step-by-step explanation:

Given

To Find

Solving

Answer:

28.4 feet

Step-by-step explanation:

The question can be solved by using Pythagoras Theorem.

Given:-

Height of tree :- 18 feet (Perpendicular)

length of shadow :- 22 feet (Base)

To find:-

Distance of shadow from the end to the top of the tree

Solution:-

We know the Pythagoras theorem,

Which is , H² = P² + B²

So putting the given value , we get

H² = 18²+22²

H² = 324 + 484

H = √ 808 feet

H = 28.4 feet

Answer:

x=  -1/7

Step-by-step explanation:

2x + 5x + 1 = 0

7x = -1

x =  -1/7