MATHEMATICS HIGH SCHOOL

While catching fireflies, you and a friend decide to have a competition. After m minutes, you have (3m+13) fireflies and your friend has (4m+6) fireflies.a. Write an expression in the simplest form that represents the number of fireflies you and your friend caught together.

Expression:
b. The competition ends after 5 minutes. Who has more fireflies?

_ more fireflies.

Answers

Answer 1

Answer:

Answer:

a. 7m+19

b. You caught more fireflies, your friend caught less

Step-by-step explanation:

Answer 2

Answer:

Answer:

Expression: 7m +19

Who has More? Me/You

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INVERSE PROPORTIONALITY ????q is inversely proportional to the square of t when t = 5, q = 9.6 a) find the formula for q in terms of t b) calculate the value of q when t = 8 c) when q = 2.4, calculate the value of t
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A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?

Answers

Answer:

The correct answer is option A. 90°

Step-by-step explanation:

Points to remember

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes on it.

To find the measure of <XYZ

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

Answer:

Step-by-step explanation:

Any triangle inscribed in a semicircle has one right angle. Here it's <XYZ.

PLEASE HELP I DONT UNDERSTAND 9
In right triangle XYZ, _X and Z are complementary angles and cos(x)is 11. What is sin(Z)?
9
OA.
B. 1/2
11
mus 网。
C.
20
9
20
11
D.
Reset
Next

Answers

Answer:

Step-by-step explanation:

Using the cofunction identity

cos(90 - x) = sinx , or

sin(angle) = cos(complement of angle)

x and z are complementary angles , x + z = 90 , then

sinz = cosx = $(9)/(11)$

Final answer:

In right triangle XYZ, if X and Z are complementary and cos(X) is 11, sin(Z) should be 11 as well. Nevertheless, the cosine of an angle in a standard triangle can't exceed 1 in absolute value, suggesting an error in the provided data.

Explanation:

In a right triangle, if two angles are complementary, their sum equals 90 degrees. In the case of right triangle XYZ, angles X and Z are complementary. This means that angle Z is the complement of angle X. In trigonometry, the sine of an angle is equal to the cosine of its complement.

Therefore, sin(Z) = cos(X).

Given that cos(X) is 11, it follows that sin(Z) is also 11. However, it is essential to point out that the cosine of an angle can't exceed 1 in absolute value in a standard triangle, so there might be a misprint or misunderstanding in the problem. If cos(X) falls within a valid range, then sin(Z) should equal cos(X).

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Write 80 as a prime factor?

Answers

80|2
40|2
20|2
10|2
5|5
1

$80=2^4\cdot5$

You have a bag with 30 fireballs and another bag with 42 jolly ranchers. For a party, you want to repackage the candy into smaller bags, and you want each bag to have the same number of fireballs and jolly ranchers and. How many bags will you be able to make?

Answers

Answer: 6 bags 5 fire balls and 7 jolly ranchers in one bad

Step-by-step explanation:Ok so you got 30 fire balls 42 ranchers what you can do is see like wow more ranchers in a bag we know that hmm 42/6 is ya know 7 and that 6 does it go into 30 yeah it does 30/6=5 so you got 5 fire balls and 7 jolly ranchers is each bag with 6 bags

Answer:

6 bags

Step-by-step explanation:

The GCF of 30 and 42 is 6.

30/6 = 5

42/6 = 7

To use all candy, put 5 fireballs and 7 jolly ranchers in each bag. You will make 6 bags.

A recent study indicates that the annual cost of maintaining and repairing a car in a town in Ontario averages 200 with a variance of 260. A tax of 20% is introduced on all items associated with the maintenance and repair of cars (i.e., everything is made 20% more expensive). Calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced.

Answers

Answer:

374.4

Step-by-step explanation:

All items related to the maintenance are 20% more expensive, it means that each datum is 20% bigger including the average.

The variance its a dispersion measurof the data and its calculated of this way:

$\sigma^(2) =(1)/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n$

Here n is the number of data, $\var{x}$ is the average and $x_(i)$ represent each datum. The increment in 20% in each parameter can be represented multiplying for 1.2, of this way

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2x_(i)-1.2\var{x})^2\n$

Factorizing the 1.2 we have:

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1) (1.2(x_(i)-\var{x}))^2$

$\sigma_(20\%)^(2) =(1)/(n) \sum\limits^n_(i=1)1.2^(2) (x_(i)-\var{x})^2$

$\sigma_(20\%)^(2) =(1.2^(2))/(n) \sum\limits^n_(i=1) (x_(i)-\var{x})^2\n$

That is:

$1.2^(2)\sigma^(2)=\sigma_(20\%)^(2)$

The new variance is $1.2^(2) \sigma^(2) =1.44*260=374.4$

Final answer:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

Explanation:

To calculate the variance of the annual cost of maintaining and repairing a car after the tax is introduced, we can use the formula var(X + c) = var(X), where X is the original cost and c is the tax rate. In this case, the tax rate is 20%, so c = 0.2. The variance of the original cost is 260, so the variance of the cost after the tax is introduced is also 260.

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If the largest angle of a triangle is 120 degrees and it is included between sides of 1.5 and 0.5, what is the largest side of the triangle to the nearest tenth?

Answers

c²=a²+b²-2·a·b·cos(C)

c²=(1.5)² + (0.5) -2 ·(l·5) ·(0.5) ·cos(120°)

c²= 3.25

c= √3.25

c=1.802775638

To nearest tenth, c=1.8

Answer:

1.8

Step-by-step explanation:

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