Type of triangle the has side measures of 6cm, 7cm and 12cm. And one angle with a measure of 120 degrees

Answer:

$279.00

Step-by-step explanation:

The ratio of 2:3 means total length will be 2 parts + 3 parts i.e. total 5 parts .

Now 5th part of 90 cm will be 90/5= 18 cm ,

2 x 18 = 36 cm the length of shorter length

similarly

3 x 18 = 54 cm the length of longer part.

in total 36+54= 90.

Answer:

x= 4

Y= -1

Z= 3

step by step procedure:

let x+y+z=6, x-y+z=8, x+y-z=0 be equations 1, 2, and 3 respectively.

you are welcome bro....

For the  trigonometric identity

11. If cos 27° = x, then the value of tan 63° interims of "x" is  x/√1 - x²

12. If Θ be an acute angle and 7sin²Θ + 3 cos²Θ= 4, then tan Θ is  1/√3

13. The value of tan 80° × tan 10° + sin² 70° + sin² 20° is 2

14. The value of (sin 47°/cos 43°)² + (cos 43°/sin 47°) -  4 cos²45° is 0

15. If 2 (cos²Θ - sin²Θ) = 1, Θ is a positive acute angle them the value of Θ is  30°

16. If 5 tan Θ = 4, then (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ) is equal to 1/6

17. If sin(x + 20)° = cos (x + 10)° then the value of "x" is  30°

18. The value of (sin 65°)/ (cos 25°) is 1

To solve the various   trigonometric identity;

11. Given: cos 27° = x

We know that cos (90 - θ) = sin θ

So, cos 63° = sin 27°

And sin 63° = √1 - cos²27°

Substituting cos 27° = x, we get

sin 63° = √1 - x²

Therefore, Therefore, tan 63° = sin 63° / cos 63° = cos 27° / cos 63° = x / cos 63°.

= x/√1 - x²

12. Given: Θ is an acute angle and 7sin²Θ + 3 cos²Θ= 4

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation 7sin²Θ + 3 cos²Θ= 4, we get

7 (sin²Θ/ cos²Θ) + 3 = 4/cos²Θ - 4 sec²Θ

⇒ 7tan²Θ + 3 = 4(1 + tan²Θ)

⇒ 7tan²Θ + 3 = 4 + 4 tan²Θ

⇒3 tan²Θ = 1

⇒ tan²Θ = 1/3

⇒ tanΘ = 1/√3

13. For tan 80° × tan 10° + sin² 70° + sin² 20°

⇒ tan 80° = cot (90 - 80)° = cot 10°

⇒  sin 70° = cos (90 - 70) = cos 20°

⇒ cot 10° × tan 10° +  cos 20° + sin² 20°

= 1 + 1 = 2

14. (sin 47°/cos 43°)² + (cos 43°/sin 47°) - 4 cos²45°

= (sin 47°/cos43°)² + (cos 43°/sin 47°)² - 4(1/√2)²

= (sin (90° - 43°)/cos43°)² +  (cos (90° - 47°)/sin)²  = 4(1/2)

= (cos 43°/cos 43°)² + (sin 47°/ sin   47°)² - 2

= 1 + 1 - 2 = 0

15. 2 (cos²Θ - sin²Θ) = 1

cos²Θ - sin²Θ = 1/2

Since Θ is an acute angle, sin²Θ + cos²Θ = 1

Substituting sin²Θ + cos²Θ = 1 into the equation cos²Θ - sin²Θ = 1/2, we get

cos²Θ - (1 - cos²Θ) = 1/2

2cos²Θ = 3/2

cos Θ = √3/2(cos 30° = (√3)/2

= 30°

16. Given: 5 tan Θ = 4

We know that tan Θ = sin Θ / cos Θ

So, 5 sin Θ / cos Θ = 4

5 sin Θ = 4 cos Θ

Dividing both sides of the equation by 5, we get

sin Θ / cos Θ = 4/5

∴ sin Θ = 4/5 cos Θ

given that the expression is (5 sin Θ - 3 cos Θ)/(5 sin Θ + 2 cos Θ)

we substitute sin Θ = 4/5 cos Θ  into the equation

⇒(5 × 4/5 cos Θ  - 3 cos Θ)/(5 × 4/5 cos Θ  + 2 cos Θ)

= (4-3)/(4 + 2) = 1/6

17. Given: sin(x + 20)° = cos (x + 10)°

We know that sin(90 - θ) = cos θ

So, sin(x - 20)° = sin(90 - (3x + 10))°

⇒ (x - 20)° = (90 - (3x + 10))°

⇒ x - 20° = 90° - 3x + 10

⇒ 4 x = 120°

⇒ x = 120°/4

⇒ x = 30°

18. To find the value of (sin 65°) / (cos 25°), we can use the trigonometric identity:

To solve this, we can use the following trigonometric identities:

sin(90 - θ) = cos θ

cos(90 - θ) = sin θ

We can also use the fact that sin²θ + cos²θ = 1.

Rewrite sin (65°) / cos (25°)

⇒ sin (65°) = cos (25°)

∴ cos (25°)/ cos (25°) = 1

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The percentage of video game players worldwide who lived in a region other than the Asia Pacific is 77%.

A percentage is a relative value of a hundredth of a value.

Percentages are expressed as ratios, relative frequencies, and proportions.

Percentage of video game players living in Asia Pacific = 23%

The percentage of the circle as a whole = 100%

Therefore, the percentage of video game players living outside the Asia Pacific is 77% (100 - 23).

Thus, the percentage of video game players worldwide who lived in a region other than the Asia Pacific is 77%.

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Since the circle graph or pie chart is not drawn, let us assume that the percentage of video game players who lived in Asia pacific is 23%.

Answer:

225 steps Can Be climbed by her.

Step-by-step explanation:

Its simple The LCM OF 60 AND 40 IS 2

THEREFORE

60= 40/2 multiplied by 3

60= 20 X 3

= 60

similarly to 150 seconds

150/2 *3

= 75 X 3

= 225 steps.

Answer:

228

Step-by-step explanation:

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

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Answer:

5/8

Step-by-step explanation:

The range is the largest number subtracted by the smallest number. In this data set, 1 1/4 is the largest, while 5/8 is the smallest.

Step #1. Simplify

1 1/4 - 5/8

= 5/4 - 5/8

= 10/8 - 5/8

= 5/8

Using L'hopital we can see that the limit is equal to 1/22

Here we want to take the limit of x tending to zero for x/sin(22x)

Notice that when x = 0, both numerator and denominator are zero, so we need to take the limit of the first derivatives, for:

y = x

y' = 1

And for:

y = sin(22x)

y' = 22*cos(22x)

Now taking the limit we will get:

\(\lim_{x \to 0} \frac{1}{22cos(22x)} = \frac{1}{22cos(0)} = 1/22\)

That is the value of the limit.

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The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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Step-by-step explanation:

Our interest equation is s(x) = (1.05)^(x - 1). This is actually a part of a bigger formula for calculating the amount of money accumulated including interest:

A = P(1 + r)^n, where A is the total, P is the principal amount (initial amount), r is the interest rate, and n is the time

Here, we technically already have the (1 + r)^n part; it's just (1.05)^(x - 1). The principle, though, will actually be the 200 because she starts out at $200.

Thus, to combine these, we simply multiply them together to get:

h(x) * s(x) = 200(1.05)^(x - 1)

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Victoria can combine the two functions to model the total amount of money. Then the equation will be given below.

\(\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}\)

Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function

\(\rm h(x) = 200\)

She reads about a bank that has savings accounts that accrue interest according to the function

\(\rm s(x) = (1.05)^{x-1}\)

\(A = P(1 + r)^n\)

where A represents the sum, P represents the principal (starting amount), r represents the interest rate, and n represents the time.

To combine these, we simply multiply them by each other, yielding:

\(\rm h(x) \times s(x) = 200 \times (1.05)^{x-1}\)

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The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

6:10 pm

Step-by-step explanation:

she skate for 2 h and 14 min so,

8:24- 2:14

=6:10 pm

The answer to number 2 is- no it's not a right triangle

the answer to number 3 is- yes it is a right triangle

Answer:

Step-by-step explanation:

apply the indices law

Answer:

The parameter of interest = the average financial aid package for students admitted μ.

Null hypothesis H0; μ = $49,250

Alternative hypothesis Ha; μ ≠ $49,250

Step-by-step explanation:

The population parameter of interest is the parameter in which the data is focused on. For the case above, the parameter of interest is the average financial aid package for students admitted.

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

Let μ represent the average financial aid package for students admitted given as $49,250.

The null hypothesis is that the average financial aid package for students admitted is equal to $49,250.

H0; μ = $49,250

The alternative hypothesis is that the average financial aid package for students admitted is not equal to $49,250.

Ha; μ ≠ $49,250

Answer:

C

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

We are given:

ab/c = 2 ---------------(1)

bc/a = 4 ---------------(2)

ac/b = 6 ---------------(3)

Multiplying (1) and (2):

ab*bc / ac = 8

b² = 8

Multiplying (2) and (3):

bc*ac/ab = 24

c² = 24

Multiplying (1) and (3):

ac*ab/bc = 12

a² = 12

Now, finding the value of a² + b² + c²:

8 + 24 + 12 = 44 (replacing the values of a² , b² and c²)

Hence, a² + b² + c² = 44

Answer:

15

Step-by-step explanation:

To find the value of ƒ(-2), we need to substitute -2 for x in the given equation:

ƒ (x) = 3x² – 2x - 1

So ƒ(-2) = 3(-2)² – 2(-2) - 1

= 3(4) + 4 - 1

= 12 + 4 - 1

= 15

Therefore, ƒ(-2) = 15

Answer: a < 3

Step-by-step explanation: -4+4<5+4

3a divided by 3< 9 divided by 3

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.

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Step-by-step explanation:

10(2−4)+5=2−8

10(2x-4)+5=2x-810(2x−4)+5=2x−8

Solve

1

Distribute

10(2−4)+5=2−8

20−40+5=2−8

2

Add the numbers

3

Add 

35

3535

 to both sides of the equation

4

Simplify

5

Subtract 

2

2x2x

 from both sides of the equation

To find out the best buy

Calculate the unit price for each option

so

Option A ----> 4/26=$0.15 per treat

Option B ----> 8/48=$0.17 per treat

Option C ----> 9/57=$0.16 per treat

Option D ----> 16/100=$0.16 per treat

therefore

without calculator

we have the fractions

4/26=2/13

8/48=4/24=2/12=1/6

9/57=3/19

16/100=8/50=4/25

Find out equivalent fractions all with the same denominator

13*6*19*25=37,050

Multiply the fraction (2/13) by 2,850/2,850 ----> (2/13)(2,850/2,850)=5,700/37,050

Multiply the fraction (1/6) by 6,175/6,175 -----> 6,175/37,050

Multiply the fraction 3/19 by 1,950/1,950 ----> 5,850/37,050

Multiply the fraction 4/25 by 1,482/1,482 ----> 5,928/37,050

Now you compare teh fractios

All the fractions have the same denominator

The fourth vertex such that it forms a right angle with two adjacent vertices the correct answer is \((9, 3)\)  . Thus, option D is correct.

To create a rectangle, we need to find the fourth vertex such that it forms a right angle with two adjacent vertices. We can use the distance formula to determine the length of each side of the triangle formed by the three given vertices:

The distance between \((5, 6)\) and  \((9, 6)\) is \(4\) units.

The distance between \((5, 6)\) and \((5, 3)\)   is \(3\) units.

The distance between  \((9, 6)\) and  \((5, 3)\) is \(5\) units.

Since the two sides with length 4 units are adjacent and form a right angle, we know that the fourth vertex must be located 3 units below (9, 6) or 3 units above (5, 3). Therefore, the fourth vertex can be either (9, 3) or (5, 9).

However, only  \((9, 3)\) forms a rectangle with the three given vertices, as it is also 5 units away from   \((5, 6)\) and  \(4\) units away from (9, 6), forming a right angle with both.

Therefore, the correct answer is  \((9, 3)\).

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