MATHEMATICS HIGH SCHOOL

What is z?
Z/100= 6/4

Answers

Answer 1
Answer:

Answer:

z = 150

Step-by-step explanation:
Answer 2
Answer:

Answer:

2

Step-by-step explanation:

6-4=2

200/100=2

i think

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What is the next term in the sequence below 1, 3, 5, 8, 11, 15, 19, 24

What are the next three numbers in this pattern? 11, 22, 12, 23, . . .

Answers

Answer:

13 , 24 , 14

Step-by-step explanation:

Note that technically there are two patterns. Each one adds 1.

The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.

The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.

~

Easy, it's going by adding 11's 11+11=22 than it subtracts by 10=12 and it keeps repeating until it's done.

A frying pan has a radius of 14 centimeters. What is the circumference of the frying pan

Answers

The formula for the circumference of a circle is:

C=2πr

Since we know the radius is 14cm, we can solve for the circumference...
C=2π(14)
C=28πcm
C=87.96cm
The curcumfrence is 87.92 centimeters. I multiplied 14 by 2 because you multiply the diameter by 3.14. Diameter is radius times 2. Then you would multiply 28 by 3.14 because C = d times 3.14. d is diameter and C is circumference. Hope this helps

If g(x) = 10 + 4x2 + 3x, find g(-2).

Answers

Answer:

g(-2) = 20

Step-by-step explanation:

from my understanding, the equation is

g(x) = 10+4x^(2) +3x\n

to find g(-2), substitute -2 into the x.

g(-2) = 10 +4(-2^(2))+3(-2)\n = 10 + 4(4)-6\n = 10 + 16 - 6\n = 20

XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'. If the slope and length of XY are m and l respectively, what is the slope of X'Y'?

Answers

Answer:  The slope of line X'Y'= m

Step-by-step explanation:

Given: XY is dilated by a scale factor of 1.3 with the origin as the center of dilation to create the image X'Y'.

The slope and length of XY are m and l respectively.

  • Dilation is a transformation that forms similar shape, but with a different size such that the corresponding sides of image and original shape are parallel to each other.

As the slope of parallel line are equal .

⇒ The slope of XY and X'Y' are equal.

Hence, the slope of X'Y' is m.
Hello,

Dilatations conserved parallelism

=> slope of X'Y'=m= slope of XY

Dilatations multiply length by the scale factor

==> |X'Y'|=1.3*|XY-=1.3*L

The diagonal of a tv is 28 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact length and width of the tv?

Answers

30-60-90

shortest leg is always x ; longest leg is always x√3 ; hypotenuse is always 2x

hypotenuse = 28 inches = 2x = 2(14)
shortest leg = x = 14
longest leg = x√3 = 14√3

The exact length and width of the tv would be 14 inches and 14√3 inches.

Answer:

14 inches by 14 square root of 3 inches

Step-by-step explanation:

John threw a surprise birthday party for his friend. Food, drinks, and a DJ cost $480 for a group of 32 people. Write and solve and equation to find the cost c per person.

Answers

The required cost per person at the party is given as $15.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
John threw a surprise birthday party for his friend.
Let the cost per peroson be c,
According to the question,
32c = 480
c = 480 / 32
c = 15

Thus, the required cost per person at the party is given as $15.

Learn more about simplification here:

brainly.com/question/12501526

#SPJ2
First, you have to do 480/32. (divide) That gives you the cost of $15 per person.
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