In a right triangle , the side opposite angle a has a length of 11.1 feet, the side adjacent to angle a has a length of 13.4feet , and the hypotenuse has a length of 17.4 feet. what is the value of cos(a)?

To find the volume of a rectangular prism, we can use the following formula:

[tex]V=lwh[/tex]

1000 mL = 1 L

We're given:

To solve this question, we could follow these steps:

Find the volume of the tank

[tex]V=lwh[/tex]

⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]

Divide the volume of the tank by the capacity of the jug

There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:

1.75 × 1000

= 1750

118125 ÷ 1750

= 67.5

It takes 68 full jugs of water to fill the tank.

Answer:

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Answer:

m = - , c = -

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y + 4 = 0 ( subtract 2x + 4 from both sides )

3y = - 2x - 4 ( divide all terms by 3 )

y = - x - ← in slope- intercept form

with slope m = - and y- intercept c = -

Answer:

Yeah sure

Step-by-step explanation:

Answer:

Yes what is it?

Step-by-step explanation:

!ask a question

For the function f(x), the practical domain will be [0 min, 165 min]

We define the practical domain as the section of the domain that has practical meaning.

In this case, the part of the domain that we care about is only when the rock climber is on the mountain.

After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]

If you want to learn more about domains, you can read:

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Answer:

[tex]\sf \bold{ 1 * (-3)^{n-1}}[/tex]

Explanation:

first term, a₁ = 1

difference between the terms: -3

where "a₁ is first term" and "r refers to common difference"

Answer:

The answer is A

Step-by-step explanation:

The minimum is 52 and the maximum is 65 therefore B and C are false.

Data set total number is 13 D medium is 56

so A is the correct answer

Answer:

X=3

[tex] {3}^{2} + 6(3) - 3 \\ 9 + 18 - 3 \\ 27 - 3 \\ = 24[/tex]

Answer:

$8.75

8.75x3=26.25

Step-by-step explanation:

Answer:

$8.75

Step-by-step explanation:

To find out the unit price, take the whole and divide it by the number of units. In this case the whole cost is $26.25. There are 3 scarves in a whole. Divide $26.25 by 3 to find out the cost of the unit price. It is $8.75. Knowing how to figure out a unit price for something is very useful. For example, if you wanted to buy some Pepsi but didn't know if the 24-pack, 12-pack or 36-pack was a better deal, you can find out the unit price to see which is cheaper. For example, if the 24-pack of Pepsi cost $5, the unit price per can would be .21. A 12-pack at$ 2.75 would be .22 per can. A 36-pack at $6.50 is .18 per can. This tells you that you'd save more money per can if you bought the 36-pack of Pepsi.

Answer:

x=74

Step-by-step explanation:

if angle ABE = 148. then, angle EBC = 32

and for angle ECB an BEC,

180-32 = 148

148/2 = 74

so, angle ECB and angle BEC  = 74

we know, angle BCE and angle CEF are equal because they are alternate angles

so, x = 74

Answer:

NP NP

Step-by-step explanation:

this is the only solution that works for the question

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of a cone is given by:

volume = (1/3) * π * radius² * height

The cone that has a height of 6 inches and a radius of 3 inches. Hence:

Volume = (1/3) * π * 3² * 6 = 56.55 in³

For 12 hats:

Volume = 12 *  56.55 in³ = 678.58 in³

The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³

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Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

Let the number of strawberries be x

Let the number of b berries be y

If at work today, he made 20 Berry Blast smoothies, then;

x + y = 20

SInce x = 3 and y = b, then;

3 + b = 20

The expressions that represent the total number of berries in the Berry Blast smoothies that Luther made today is 3 + b = 20

Learn more on system of equation here: https://brainly.com/question/847634

The greatest possible value of the perimeter of the triangle is 48

The perimeter of a triangle is the sum of the lengths of the three sides of the triangle.

An isosceles triangle has 2 equal sides and the length of the 2 sides must be greater than the length of one.

Perimeter A= 12×2+18=42

Perimeter B= 12+18×2=48

Therefore the greatest possible perimeter of the triangle is Perimeter B (48) since the sum of lengths of the two equal sides(18) is greater than the third side (12) and 48 is greater than 42.

Please read more about perimeter of triangle here:

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When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.

An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.

In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.

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a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

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Answer:

[tex]x = -21[/tex]

Step-by-step explanation:

[tex]\frac{294}{x} = -14[/tex]
Cross multiply:
[tex]-14x = 294[/tex]
[tex]x = -21[/tex]

Considering the p-value of of the test, it is found that the correct option is:

III. A 99 percent confidence interval for the difference in means will contain the value 0.

In this problem, we have that the p-value is of 0.03, hence the confidence interval will contain the value of 0, tested at the null hypothesis, for confidence levels above 97%, hence option III is correct.

More can be learned about p-values at https://brainly.com/question/13873630

The type II error is the probability of accepting the null hypothesis when it's false.

a. From the information, the proportion of parents who passes the sign language test is not less than 25%.

b. Since the p value is greater than 0.05, the null hypothesis is rejected. Therefore, the proportion of parents who passes the sign language test is not less than 25%.

c. The possible defect in the study is that the parents if the children with hearing problem should be selected randomly.

Learn more about probability on:

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Answer:

  168 cm²

Step-by-step explanation:

The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...

  A = 1/2(d1)(d2)

  A = (1/2)(21 cm)(16 cm) = 168 cm²

The area of the rhombus is 168 cm².

Answer:

yes

Step-by-step explanation:

75/100×75/100=49/100

49/100×20=8.58.5 % Is more than 20%

6x + 8 < 3x + 4

6x - 3x < 4 - 8

3x < -4

x < - 4/3

Answer:

-4/3

Step-by-step explanation:

Answer:

Value of X: X=2

Length of One Side: 31

Area: 961u^2

Perimeter: perimeter = 124

Step-by-step explanation:

Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.

Answer:

See below, please

Step-by-step explanation:

This square

[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]

[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]

[tex] {x}^{2} + 8x - 20 = 0[/tex]

[tex](x + 10) \times (x - 2) = 0[/tex]

Hence,

[tex]x1 = 2[/tex]

[tex]x2 = - 10[/tex]

Because x is positive, So,

[tex]x = 2[/tex]

Then we know

The length of one of the sides

[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]

The area of the square

[tex] = {31}^{2} = 961[/tex]

The perimeter of the square

[tex] = 31 \times 4 = 124[/tex]

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

Step-by-step explanation:

geometric sequence :

a0 = 417,000

a1 = a0 × 1.012 (that is adding 1.2% for 2001)

a2 = a1 × 1.012 = a0 × 1.012²

an = a0 × 1.012^n

a20 (for the year 2020 after starting in 2000) =

= a0 × 1.012²⁰ = 417,000 × 1.012²⁰ = 529,354.1291...

if we need to round that to a full number, we get

≈ 529,534

our round it to full thousands

≈ 530,000

i don't know what result format you need. please pick the required one.

When x=a the slope is undefined . And when y is b the slope is zero

Answer:

4

Step-by-step explanation:

Elissa uses 8.5 inches of thread per bracelet.

She has 40 inches of thread.

To find the maximum number of bracelets she can make, we need to divide.

40 / 8.5 = 4.70588...

We cannot have an unfinished bracelet, so we have to round down.

She can make 4 bracelets with 40 inches of thread.

Answer:

4 bracelets

Step-by-step explanation:

if 8.5 inches makes 1 friendship bracelet

what about 40inches

8.5inches=1 bracelet

40 inches=?

cross mulltiply

40x1

-------

8.5

=4 12/17 bracelets

12/17 of a bracelet is not a complete one

=4 complete friendship bracelets

aaaaaand 4 happy friends