Examine the triangle below, solve for x and y, rounded to two decimal places.
X=
y=
X
30°
y
16

Answer:

540 towels

Step-by-step explanation:

cross multiply

towels time

4 120

18 x

4x=120×18

x = 540

Ce clasă ești sa văd daca te pot ajuta

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Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

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Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

The younger sister is 10 years old and the elder sister is 15 years old.

Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.

According to the given information, the product of their present ages is 150:

x * y = 150 ---(1)

It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:

x - 5 = 2 * (y - 5) ---(2)

We can now solve these two equations simultaneously to find the ages of the two sisters.

From equation (2), we can simplify:

x - 5 = 2y - 10

x = 2y - 10 + 5

x = 2y - 5

Substituting this value of x into equation (1), we have:

(2y - 5) * y = 150

2y^2 - 5y = 150

2y^2 - 5y - 150 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:

(2y + 15)(y - 10) = 0

This gives us two possible solutions for y:

2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)

y - 10 = 0 --> y = 10

So, the younger sister is 10 years old.

To find the elder sister's age, we can substitute this value of y into equation (2):

x = 2y - 5

x = 2 * 10 - 5

x = 20 - 5

x = 15

Therefore, the elder sister is 15 years old.

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Answer:

b. 0.09

Step-by-step explanation:

0.09 is the only one smaller than 0.59

0.59>0.09

Answer:Its D

Step-by-step explanation:

Answer:

1900

Step-by-step explanation:

1 kg = 1000g

1.2kg = x

1 kgx = 1200 kg.g

1kg. 1kg

x = 1200 g

1 decagram = 10g

40 decagram = x

1 dg.x = 400 dg.g

1 dg. 1 dg

x = 400g

so the total= 1200g +300 + 400g=1900g

without the unit = 1900

Step-by-step explanation:

step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.

step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.

step 3. The lower segments are identical to the upper segments.

step 4. therefore x = 11(2) = 22.

Answer:

32.77 cm³

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume of ball (in in³) = 2 in³

Volume of ball (in cm³) =.?

From the question given above, we were told that:

1 in = 2.54 cm

Therefore,

1 in³ = 2.54³ cm³

Finally, we shall convert 2 in³ to cm³. This can be obtained as follow:

1 in³ = 2.54³ cm³

Therefore,

2 in³ = 2 in³ × 2.54³ cm³ / 1 in³

2 in³ = 32.77 cm³

Thus, 2 in³ is equivalent to 32.77 cm³

Answer:

x=0.3

Step-by-step explanation:

6x+3+4x=1/2(9+10x)

10x+3=4.5+5x

5x=1.5

x=0.3

Answer:

x=0.3

Step-by-step explanation:

6x+3+4x=1/2(9+10x)

10x+3=4.5+5x

subtract 5x and 3 from both sides

5x=1.5

x=0.3

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

6

11х3-2=33-2=31

(16-6):2=10:2=5

5+4х9=5+36=41

Answer:

the answer is C, here is an app or website that u could use for math :)

There are step by steps explaination in the picture

Answer:

so i am confusion-

whhhhhhhhhhhhhh-

Answer:

The only thing you will do is to plug the x in the equation.

x = -2 ---> f(x) = -6

x = 0 ---> f(x) = 0

x = 3 ---> f(x) = 9

x = 7 ---> f(x) = 21

f(x) = 3x

f(-2) = 3(-2)

f(-2) = -6

f(0) = 3(0)

f(0) = 0

f(3) = 3(3)

f(3) = 9

21 = 3x

21 / 3 = 3x / 3

7 = x

Hope this helps, thank you :) !!

Answer:

v = 24

Step-by-step explanation:

Ft + mu = mv

v = (Ft + mu)/m = (55*3 + 5*(-9))/5 = 24

Answer:

185 is the answer

Step-by-step explanation:

your answer is 185

Answer:

Hello! :) have a good day!

5+3+8+9+10+50+100=185

Correct question is;

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 – ¾x + ⅓ = ½x + 5

Answer:

12

Step-by-step explanation:

We are given the equation as;

6 – ¾x + ⅓ = ½x + 5

In order to find out the number that each term can be multiplied by, we will need to express each denominator as a product of its prime factors to find the lowest common factor.

Thus;

Factors of 4 = 1 × 2 × 2

Factors of 3 = 1 × 3

Factors of 2 = 1 × 2

Thus, LCF = 1 × 2 × 2 × 3 = 12

Answer:

Hello some parts of your question is missing below is the missing part

answer : A) p-value =  0.0019 ,

The level of significance ( 0.05 ) > p-value ( 0.0019 )

B) There is no dependence between the two ratings

Step-by-step explanation:

A) using a 0.05 level of significance and test for independence of the quality of management

Test statistic : [tex]X^{2}[/tex]  ∑ ( Oi - Ei )^2 / Ei

= [(40-35)^2 / 35 ] +  [(25-24.5)^2 / 24.5 ] +  [(5-10.5)^2 / 10.5]  +  [(35-40)^2 / 40]  +  [(35-28)^2 / 28]  +  [(10-12)^2 / 12]  +   [ (25-25)^2 / 25 ]  +  [(10-17.5)^2 / 17.5 ]  + [(15-7.5)^2 / 7.5]  =  17.03  

p-value = 0.0019

Df = 4  ,

The level of significance ( 0.05 ) > p-value ( 0.0019 )

B) There is no dependence between the two ratings

Answer:

C

Step-by-step explanation:

Have a great day ^^ :)

Answer:

See below.

Step-by-step explanation:

1) 3 congruent sides and 3 congruent angles: equilateral, equiangular, acute

2) 2 congruent sides and a right angle: right isosceles

3) 2 congruent sides and an obtuse angle: obtuse isosceles

4) 1 obtuse angle and all different lengths of sides: obtuse scalene

5) 1 right angle and all different side lengths: right scalene

6) 2 congruent sides, all acute angles: acute isosceles

7) x + 2 = 10

x = 8

8) 10x + 3 + 10x + 3 + 34 = 180

20x + 40 = 180

20x = 140

x = 7

Answer:

Step-by-step explanation:

Your answer

Meal is 22$

10% tax, tax with price = 24.2$

She gave on tip = 4.84$

Total price = 29.04$

Mark it as Brainlist answer. Follow me.

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

Answer:

c

Step-by-step explanation:

Answer:

C. $37.39

Step-by-step explanation:

We have our original value, $37.69, and we are given a table that adds or subtracts a certain amount. The question is asking what is the final product by Friday.

To solve, all we have to do is subtract and add the price of stock per each day.

$37.69

On Tuesday, the stock price went up by $0.69 cents.

So we must add .69 to 37.69

37.69 + .69

38.38

On Wednesday, the stock price lowered by 82 cents.

So we subtract .82 from 38.38

38.38 - .82

37.56

On Thursday the stock price gained 37 cents, so do the same you did for Tuesday.

37.56 + .37

37.93

On Friday the stock price went down by 14 cents, so do the same you did for Wednesday.

37.93 - .14

37.79

Answer:

1932

Step-by-step explanation:

Answer:

1932

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Answer:

2 * 11 * x * y * y

Step-by-step explanation:

The numerical part is 22, whose prime factor form is: 2 * 11

Then the complete factorization of 22 x y^2 is:

2 * 11 * x * y * y

The complete factorization of [tex]22xy^2[/tex] is [tex]2 \times 11 \timesx \times y \times y[/tex]

Given that,

Based on the above information, the calculation is as follows:

Here the numerical part should be 22 whose prime factor should be 2 and 11.

Now  the complete factor should be [tex]2 \times 11 \timesx \times y \times y[/tex]

Learn more: brainly.com/question/16911495

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation: