MATHEMATICS HIGH SCHOOL

Find x and y of this triangle.
Find x and y of this triangle. - 1

Answers

Answer 1
Answer:

Question

Find x and y of this triangle.


Answer:

x = 52°

y = 23°

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

from the picture you have 90°, 67° and y in one triangle

and 90°, 38° and x in the other.

triangle with y:

180 - 90 - 67 = 23°

triangle with x

180 - 90 - 38 = 52°

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Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. A. 56 in.
B. 44 in.
C. 28 in.
D. 88 in

Answers

Diameter = 28 inches

radius, r = Diameter/2 = 28/2 = 14 inches.

C = 2πr

C = 2*π*14

C = 28π

C ≈ 28*3.142

C ≈ 87.976

C ≈ 88 inches

Option D.
Ok so the given is the length of the diameter.
diameter=28 in
so the radius is half the diameter
radius=28/2=14 in
Circumference formula=2 × pi × radius
C=2(pi)(14) - pi can be considered as 3.14 or the value in the calculator
C=28(PI)
C=87.96 in ≈ 88 in
The easiest way is just use the diameter times the pi
Because 2 times the radius is just the diameter
So we can derive that
C= diameter × pi
C=d(pi)
C=28(pi)
C=87.96 in ≈ 88 in

Simplify the expression 6√2/√3

Answers

6√2/√3

= (6√2)/√3

= 2√6

I hope that's help

If h(2) = 3 and h'(2) = -7, find d/dx(h(x)/x) x = 2.

Answers

Answer:   -17/4

Work Shown

\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{\frac{d}{d\text{x}}(h(\text{x}))*\text{x}-h(\text{x})*\frac{d}{d\text{x}}(\text{x})}{\text{x}^2} \ \text{ .... quotient rule}\n\n\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right) = \frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n

Evaluate that at x = 2.

\frac{h'(\text{x})*\text{x} - h(\text{x})}{\text{x}^2}\n\n=(h'(2)*2 - h(2))/(2^2)\n\n=(-7*2 - 3)/(2^2)\n\n=-(17)/(4)\n\n

Therefore,

\frac{d}{d\text{x}}\left(\frac{h(\text{x})}{\text{x}}\right)=-(17)/(4) \ \text{ when h(2) = 3, h'(2) = -7, and x = 2}\n\n

PLEASE HELP!!!!!!Which of the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is desired?

A, Use a spinner that is divided into five equal parts. Choose three colors for successful; the other two colors represent unsuccessful. Spin the spinner 20 times, once for each event.

B. Use a random number table consisting of the digits 0 through 9, with digits 0 through 3 representing successful and the remaining digits, 4 through 9, representing unsuccessful. Choose 20 digits, one for each event.

C. Roll a 10-sided die. Let 1 through 5 represent successful and the values 6 through 10 indicate unsuccessful. Roll the die 20 times, once for each event.

D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

Answers

the following experiments could be used to simulate an event in which the probability of success, P(success), is 0.65 and the number of successes out of 20 events is:

D. Count out 65 yellow beads and 35 pink beads. Select 20 of these beads at random. Let a yellow bead represent successful and a pink bead represent unsuccessful.

65 + 35 = 100
65/100 = 0.65

What is the elapsed time between 2:16 am to 8:10pm

Answers

9:44+8:10 = 17.54


Answer : 17 hours and 54 minutes


If you have questions please let me know


I hope that's help !
The elapsed time between 2:16 am to 8:10pm is 5 hours and 44 minutes.

5 people share 3 bags of trail mix which fraction would each get?

Answers

They each get 1/5 of the 3 bags
You would get 1 2/3 as a fraction
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