The Seventh Inning Stretch Company has created a new baseball that will improve your chances of hitting a home run. The 36-inch bat is only available online. To protect the bat, it must be shipped so the handle of the bat is in one corner of the box and the top portion of the bat touches the opposite diagonal corner.The shipping box has a length of 30 inches and a height of 6 inches. How wide should the box be to fit the 36-inch bat? Show and explain your work.

Answer:

[tex]\cos(\theta_1) = \frac{\sqrt{111}}{20}[/tex]

Step-by-step explanation:

Given

[tex]\sin(\theta_1) = \frac{17}{20}[/tex]

[tex]Quadrant = 1[/tex]

Required

[tex]\cos(\theta_1)[/tex]

We know that:

[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]

This implies that:

[tex](\frac{17}{20})^2 + \cos^2(\theta_1) = 1[/tex]

Collect like terms

[tex]\cos^2(\theta_1) = 1 -(\frac{17}{20})^2[/tex]

[tex]\cos^2(\theta_1) = 1 -\frac{289}{400}[/tex]

Take LCM and solve

[tex]\cos^2(\theta_1) = \frac{400 -289}{400}[/tex]

[tex]\cos^2(\theta_1) = \frac{111}{400}[/tex]

Take square roots

[tex]\cos(\theta_1) = \frac{\sqrt{111}}{\sqrt{400}}[/tex]

[tex]\cos(\theta_1) = \frac{\sqrt{111}}{20}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

56t

Step-by-step explanation:

Answer: 2×9=18

Step-by-step explanation:

Answer:

the fractio will be

[tex] \frac{2}{9} for \: each[/tex]

Step-by-step explanation:

what you typed in here must be wrong or incomplete.

what you typed is (with explicit multiplication symbols to make it clear)

10×x×2×y - 2

for x=-1 and y=-2

that shows then

10×-1 × 2×-2 - 2 = -10 × -4 - 2 = 40 - 2 = 38

but 38 is not in the answer options.

so, there must be something wrong with your problem description.

I = 6750

P= 25000

r = 9% = 0.09

t=?

I= prt

6750 = 25000×0.09× t

t = 6750/25000"0.09 = 3

Answer - 3 years.

Answer:

No, Alex had the better free throw percentage

Step-by-step explanation:

If you turn these data sets into completion percentage, (which is when you make a shot), Alex has a free throw % of 40, while Elizabeth's free throw % is only 36

Answer:

- 3.21

Step-by-step explanation:

Answer:

20% off

Step-by-step explanation:

96/120 = 80% price still, so 20% off.

Answer:

It is C.

First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.

Answer

$1.25

Step-by-step explanation:

well a quarter is 25 and 4 of them is $1.00 plus 25 = $1.25 cents

Answer:

Step-by-step explanation:

The standard form of a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex] where h and k are the coordinates of the center of the circle, and r is the radius squared. Our center is located at (-6, -4)  and from the center to the outer edge is 2 units, so the radius is 2-squaraed, which is 4. That makes the equation for this circle

[tex](x-(-6))^2+(y-(-4))^2=4[/tex] which simplifies to

[tex](x+6)^2+(y+4)^2=4[/tex]

Answer:

[tex]5^{th} term = 126a^5b^4[/tex]

Step-by-step explanation:

[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]

       [tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]

[tex]5^{th} term = 126a^5b^4[/tex]

Answer:

We know that:

Tan(x) = sin(x)/cos(x)

We know that:

Tan(θ) = 1 = sin(θ)/cos(θ)

we can rewrite this as:

sin(θ)/cos(θ) = 1

sin(θ) = cos(θ)

If you know the table of notable angles, the angle such that this is true is θ = 45°

sin(45°) = 1/√2 = cos(45°)

Now we want to find the value of:

sec(θ) + cosec(θ)

Where:

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

And we already know the values of the sine and cosine function, then:

sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2

Then, given that:

Tan(θ) = 1

We can conclude that:

sec(θ) + cosec(θ) = 2*√2

Answer:

10 is the range  12 game were played in the season

Step-by-step explanation:

sorry if its wrong

Answer:
29 games were played in the season.
[6,8)

1,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,11,11,12

Step-by-step explanation:

Replace the x with n:

f(n) = 2n+1

Feel free to mark it as brainliest :D

Answer:

Step-by-step explanation:

given f(x) = 2x + 1

f(n) = 2n + 1

by substitution: n replaces x in the eqn

Answer:

0.611 rad

Step-by-step explanation:

For the radian measure:

180° = π radians

180° : 110° = 11 / 18 ≈ 0.611

110° =  11π/18 rad ≈ 0.611 rad

hope this helps you

8 1/4

PLZ MARK BRAINLY

Step-by-step explanation:

2¾+5½

4x2+3=11

2x5+1=11

therefore we have

11/4 + 11/2

(11+22)/4

33/4= 8¼

Answer:

a) 2.5^2+19\times2.5-16.75

Step-by-step explanation:

(2.5)² +(19× 2.5) - 16.75

= 6.25 + 47.5 - 16.75 = 37

Answer:

m=-1and c=3

m=-2c=-3

m=5c=-2

m=3andc=-2

Answer:

0.42857142857

Step-by-step explanation:

Step-by-step explanation:

Angles 4, 5, 8, 9 12, 13 and 16 are 48°, The rest of the angles will have 132°

Answer:

Tip = $9

Step-by-step explanation:

Bill amount to nearest ten dollars = $60

[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]

Answer:

0.75

Step-by-step explanation:

Given :

mean = 42000

Standard deviation = 24000

score, x = 60000

The Zscore :

Zscore = (score - mean) / standard deviation

(60000 - 42000) / 24000

18000 / 24000

= 0.75

Answer:

Step-by-step explanation:

2w+5w-6+4w

=10w+4w-6

=14w-6

=2(7w-3)

Answer:

[tex]11w - 6[/tex]

Step-by-step explanation:

[tex]2w + 5w + 4w = 11w[/tex]

[tex]11w - 6[/tex]

Answer:

radius = 19 ft

Step-by-step explanation:

volume of a cylinder: r²πh

12468.94 = r²π × 11

=> r² = 12468.94 ÷ 11π

=> r² = 361

=> r = 19

Answer:

r=19

Step-by-step explanation:

[tex]12468.94 = (3.14) {r}^{2} (11) \\ \frac{12468.94}{34.54} = \frac{34.54 {r}^{2} }{34.54} \\ \sqrt{361} = \sqrt{ {r}^{2} } \\ 19 = r[/tex]

Answer:

Numbner of plant in field = 2,020

Cost of planting trees = R.s 151,500

Step-by-step explanation:

GIven:

Side of square field = 45 m

Area of well = 5 square meter

1 plant = 1 squre meter

Cost per tree = R.s 75

Find:

Numbner of plant in field

Cost of planting trees

Computtaion:

Area of planting trees = Area of filed - Area of well

Area of planting trees = [45 x 45] - 5

Area of planting trees = 2,025 - 5

Area of planting trees = 2,020 squre field

Numbner of plant in field = Area of planting trees /  1 squre meter

Numbner of plant in field = 2,020

Cost of planting trees = 75 x Numbner of plant in field

Cost of planting trees = 75 x 2,020

Cost of planting trees = R.s 151,500