P(Head, Diamond AND Head, Heart) = ?

From the information given, the towline must be completely released to enable it to get to the maximum height. This problem is a trigonometry problem because it involves a solution that looks like a right-angled triangle.

In order to determine the maximum height of the parasailer, the length of the rope or towline must be established.

If the length and the height are known, the angle of elevation can be determined using the SOHCAHTOA rule.

SOH - Sine is Opposite over Hypotenuse

CAH - Cosine is Adjacent Over Hypotenus; while

TOA - Tangent is Opposite over Adjacent.

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Answer:

image below

Step-by-step explanation:

Answer:

90 degree counter clockwise rotation about the origin
reflect across the x-axis

Step-by-step explanation:

Answer:

6 model horses on each shelf.

Explanation:

number of horses on each shelf = total horse ÷ total shelves

Here given:

On each shelf, horses:

Answer:

36 students.

Step-by-step explanation:

5 + 7 = 12.

So the number of students must be a multiple of 12.

So as the number is  between 25 and 43 it must be 36.

Answer:

7.04, 7.134 ,7.2, 7.413

Step-by-step explanation:

The amount of bottles that Dylan needs each week to bottle all the milk is; 64 bottles

We are given;

Amount of Milk produced by Dylan's cow per day = 21 ¹/₃ liters

Thus, amount of liters of milk produced in a week = 21 ¹/₃ liters * 7 = 448/3 liters.

Then, number of bottles required in a week = 448/3 ÷ 2¹/₃ = 448/7

Number of bottles required in a week = 64 bottles

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Answer:

cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]

Step-by-step explanation:

sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )

cos²Θ = 1 - sin²Θ ( take square root of both sides )

cosΘ = ± [tex]\sqrt{1-sin^20}[/tex]

       = ± [tex]\sqrt{1-(\frac{1}{2})^2 }[/tex]

       = ± [tex]\sqrt{1-\frac{1}{4} }[/tex]

      = ± [tex]\sqrt{\frac{3}{4} }[/tex]

     = ± [tex]\frac{\sqrt{3} }{2}[/tex]

since 0° < Θ < 90° , then

cosΘ = [tex]\frac{\sqrt{3} }{2}[/tex]

Answer:

126 square yards

Step-by-step explanation:

So first you want to use this formula:

2(L×W) + 2(L×H) +2(W×H)

Then plug it in:

2(6×5) + 2(6×3) + 2(5×3)

Next you solve:

6×5 = 30×2 = 60

6×3 = 18×2 = 36

5×3 = 15×2 = 30

After this you add them all up:

60 + 36 + 30 = 126

So you answer is 126 square yards

Hope this helps :)

Answer:

I don't even have to look at it It's 17 final answer

Answer:

7 < 3 is false.

Explanation:

a) -3 > -5 is a true statement

b) 7 < 3 is a false statement

c) -5 < -3 is a true statement

d) 3 < 7 is a true statement

Answer:

A

Step-by-step explanation:

First lets take not of the given coordinations.

Based on these cordinates you can conclude the correct places on the map.

Answer:

either C or D

Step-by-step explanation:

width= area /length

width= 192/60

Width= 3.2 inches

Answer:

36 is the width.

Step-by-step explanation:

A rectangle has four sides.

So the equation should be:

60+60+?+?= 192.

In order to cancel out the two 60s, you subtract it from 192.

So,

?+?=72.

The sides opposite of a rectangle is congruent, thus,

72/2=36.

The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.

60+60+36+36=192.

Hopefully this helped!

Answer:

49

Step-by-step explanation:

Simplify the expression such that the variable has a positive exponent.

Substitute x = 7.

The orange one is an example of alternate interior angles.

Answer:

110

Step-by-step explanation:

Number of games won = Total games × Win percentage

Answer:

Lesser x = -14

Greater x = 0

Step-by-step explanation:

Given equation:

[tex]\sf (x+7)^2-49=0[/tex]

Add 49 to both sides:

[tex]\implies \sf (x+7)^2-49+49=0+49[/tex]

[tex]\implies \sf (x+7)^2=49[/tex]

Square root both sides:

[tex]\implies \sf \sqrt{(x+7)^2}=\sqrt{49}[/tex]

[tex]\implies \sf x+7=\pm7[/tex]

Solve for x:

[tex]\implies \sf x+7=7 \implies x=0[/tex]

[tex]\implies \sf x+7=-7 \implies x=-14[/tex]

As -14 < 0

Answer:

the answer is c=34

Step-by-step explanation:

use the pythogoras therom since there is a right angle triangle c2=a2+b2

hope this helped:)

Answer:

34

Step-by-step explanation:

[tex]Formula: a^2+B^2=C^2[/tex]

[tex]30^2= 900 \\\\16^2= 256\\\\900+256= 1156\\\\[/tex]

[tex]c^2=1156[/tex]

to find the answer we have to figure out what times itself = 1156

30x30=900 greater than 30 35x35=1225 less than 35

Answer

[tex]x = \frac{\pi }{6} + 2\pi n, \frac{5\pi }{6} + 2\pi n, \frac{3\pi }{2} + 2\pi n[/tex], for any integer n

Answer:

D or 270°

Step-by-step explanation:

2sin^2x+sinx-1

2sin^2(270°)+sin(270°)-1=0

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]

In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

There are two tables which give the number of pints of blue and yellow that are used to make different amounts of two shades of green dye. The table is given below;

The first one has 2 parts of blue at 3 parts of yellow. In the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2.

In grade two the blue part is half of the yellow part. This means that green #1 is bluer shade of green than Green # 2.

Hence, in the two highlighted rows show that for the same amount of yellow, Green #1 uses more blue than Green #2 and green #1 is bluer shade of green than Green # 2.

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Based on the excerpt given on Paco's evaluation of Dan DeLuca's argument, the correct order is 3 - 4 - 1 - 2.

3 is the best sentence to start because it introduces the direction that DeLuca is taking in his argument. 4 is next because it then says what DeLuca's claims are.

1 is the third sentence because it expands on DeLuca's arguments and then 2 is the last sentence as it contains Paco's evaluation of the argument.

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Answer:

its C: 3 – 4 – 1 – 2

Answer:

4.7

Step-by-step explanation:

Answer:

4.7

Step-by-step explanation:

The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.

let

= x + 24.3 - 14.6

= x + 9.7

Total = snapgram + bookface + giggle

58 = x + (x + 24.3) + (x + 9.7)

58 = x + x + 24.3 + x + 9.7

58 = 3x + 33

3x = 58 - 34

3x = 24

x = 24/3

x = 8 views

Therefore,

snapgram views = x

= 8 views

Bookface views = x + 24.3

= 8 + 24.3

= 32.3 views

Giggle views = x + 9.7

= 8 + 9.7

= 17.7 views

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Answer:

6.75$

Step-by-step explanation:

because 15% of 45$ is 6.75$

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

By squaring the sum of two variables identity ~

[tex]\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]

Now, plug in the given values ~

[tex]\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 18 - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 8[/tex]

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

Hope this helps out, feel free to mark this answer as brainliest :)

Answer:

500

-by-step explanation:

1000/2

Answer:

12.8

Step-by-step explanation:

[tex]a^{2} + b ^{2} = c^{2} [/tex]

100+64=c^2

164=c^2

12.8=c

Answer:

10

Step-by-step explanation:

The first line on the box plot is always the minimum value