MATHEMATICS HIGH SCHOOL

6. Students were asked to write a formula that could be used to find the height of a rectanglewith a base of 12 cm and an area of 60 cm². Circle the names of those who did this correctly.
ILYA
60-12(12)
CHLOE
BEN
SHAWN
KATE
12-60(h)
60=12(h)
h=
12
60
h
M
60
19
12

Answers

Answer 1
Answer:

Answer: To find the height of a rectangle with a base of 12 cm and an area of 60 cm², we can use the formula:

Area=Base×Height

Rearranging this formula to solve for the height, we get:

Height=BaseArea​

Substituting the given values, we get:

Height=12 cm60 cm²​=5 cm

Therefore, Chloe is the only student who wrote the correct formula to find the height of the rectangle. The correct formula is:

Height=Base Area​

I hope this helps!

Step-by-step explanation:

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Find the perimeter of an isosceles trianglewhose base is  40  cm and whose base angle is  70".

Answers

cos70^o=(20)/(x)\n\ncos70^o\approx0.342\n\n(20)/(x)=0.342\n\n0.342x=20\ \ \ \ /:0.342\n\nx\approx58.5\ (cm)\n\nPerimeter:40cm+2\cdot58.5cm=157cm
cos70^0= (20)/(x)\n\nx= (20)/(cos70^0) \n\nthe\ perimeter\ is:\n\n P=2x+40=(40)/(cos70^0)+40 \ \ \ and\ \ \ cos70^0\approx0.3420\n\nP\approx(40)/(0.342)+40\approx156.96\ [cm]

What numbers multiply to 6 and add up to 9

Answers

xy = 6
x + y = 9

     x + y = 9
x - x + y = -x + 9
           y = -x + 9

                                          xy = 6
                                x(-x + 9) = 6
                            x(-x) + x(9) = 6
                                 -x² + 9x = 6
                            -x² + 9x - 6 = 0
              -1(x²) - 1(-9x) - 1(6) = 0
                       -1(x² - 9x + 6) = 0
                                 -1           -1
                             x² - 9x + 6 = 0
                             x = -(-9) ± √((-9)² - 4(1)(6))
                                                 2(1) 
                             x = 9 ± √(81 - 24)
                                            2
                             x = 9 ± √(57)
                                        2
                             x = 4.5 ± 0.5√(57)

                       x + y = 9
   4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57))    - (4.5 ± 0.5√(57))
                             y = 4.5 ± 0.5√(57)
                       (x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))

The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).

an indicator variable x takes value 0 with probability 1/4 and 1 with probability 3/4, what is e[(1 x)(1-x)]?

Answers

The expected value E[(1-x)(1-x)] is 1/4. This represents the average value of the function (1-x)(1-x) for the given probability distribution of x values.

We are given an indicator variable x with values 0 and 1. The probability of x = 0 is 1/4 and x = 1 is 3/4. We need to find the expected value E[(1-x)(1-x)].

Step 1: Determine the function we are working with.
We have the function (1-x)(1-x), which simplifies to (1-2x+x^2).

Step 2: Find the probabilities for each value of x.
For x = 0, the probability is 1/4.
For x = 1, the probability is 3/4.

Step 3: Compute the function values for each x value.
For x = 0, (1-2(0)+0^2) = 1.
For x = 1, (1-2(1)+1^2) = 0.

Step 4: Calculate the expected value.
E[(1-x)(1-x)] = (1)(1/4) + (0)(3/4) = 1/4.

For more about probability distribution:

brainly.com/question/14210034


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In order to maintain a healthy weight, an average adult dog that weighs 16 kilograms must consume 11 grams of dog food per kilogram of its body weight each day. A specialty pet store sells dog food by the cup, where 4 cups of dog food weighs 412 grams. About how many cups of dog food should the dog consume each day in order to maintain a healthy weight?

Answers

Approximately 1.7 cups because dog should consume 176 gram a day and one cup is 103 grams , so we just need to divide 176 on 103 and get 1.7 cups

Which of the following are the factors of 4b2 - 16?a. (2b + 4)(2b + 4)
b. (2b – 2)(2b + 4)
c. 4(b – 2)(b + 2)
d. 2(b – 4)(b + 4)

Answers

difference of 2 perfect squares
a^2-b^2=(a+b)(a-b)
(2b)^2-4^2=(2b-4)(2b+4)
(2b-4)=2(b-2)
(2b+4)=2(b+2)
2(b-2)2(b+2)
4(b-2)(b+2)

C is answer

What is the solution to 2x-8<12?
X8
X<10
X40

Answers

Answer:

x<10

Step-by-step explanation:

Isolate X:

2x-8+8<12+8 = 2x<20

Then divide by 2:

2x/2<20/2 = x<10

x<10
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