A piece of wire 144 cm long is bent to form a semicircle as shown in the figure. Find the diameter of the semicircle, giving your answer in meters ( Take pi to be 22/7.)

Answer:

A: 12

Step-by-step explanation:

Using the pythagoreom theorem, a^2+b^2=c^2. We can plug in the lengths of 5 and 13 which is 5^2+b^2=13^2. Now we can square the numbers to get 25+b^2=169. Subtract 25 from 169 to get 144. Now find the square root of 144 which is 12.

Answer:

13%

Step-by-step explanation:

Total is 100 tickets sold as 13+87=100, 13/100 is 13%

Answer:

sin Ф.

Step-by-step explanation:

Cos (-270) = cos 90 = 0 and sin(-270) = sin 90 = 1.

So cos ( Ф - 270) =   cos Ф cos (-270) + sin Ф sin(-270)

=  cos Ф * 0 + sin Ф * 1

= sin Ф.

Step-by-step explanation:

I am not sure i understand the text you put there.

what I think is clear is to find the expected number of the appearances of the number 3 when spinning the spinner 100 times.

to do this we start by checking the given information.

and we see that the given table based on the result of in total 50 spins (7+8+9+7+11+8).

when spinning the spinner additional times, we can expect the same structure of distribution of the individual possible results as before. we just scale everything to the new size of the overall sample.

before, with 50 spins, we saw the number 3 9 times.

so, with 100 spins, which is 2×50, we expect to see the number 3 then 2×9 = 18 times.

Answer:

2/4

Step-by-step explanation:

2/4 does not equel a whole number instead it only reaches 1/2

The area of one petal of the polar curve r = 5 sin 2θ would be 25π/4.

Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.

Then summing all those pieces' area gives us the area of the main big region.

The polar curve r = 5sin 2θ

When r = 0, θ = 0, π/2 which corresponds to one loop.

We need the limits to provide r=0 or cos(5x) =0 so:

Therefore the area of the region enclosed by this curve is

[tex]A = \dfrac{1}{2} \int\limits^a_b {r^{2} } \, d\theta \\\\\\A = \dfrac{1}{2} \int\limits^{\pi /2}_0 {25sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 {sin^{2}2\theta } \, d\theta \\\\\\A = \dfrac{1}{2} \times 25\int\limits^{\pi /2}_0 \dfrac {1-cos^{2}4\theta } {2}\, d\theta\\ \\\\A = \dfrac{25}{2}( \theta - \dfrac {sin4\theta} {2})\, d\theta |^{\pi /2}_0\\\\\\A = \dfrac{25}{2} \times \dfrac{\pi }{2} \\\\\\A = \dfrac{25\pi }{4}[/tex]

Thus, the area of one petal of the polar curve r = 5sin 2θ would be 25π/4.

Learn more about the area;

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Answer:

P(2 red in 5 offspring) = 26.4%

P(no more than 2 red flowers) = 65.9%

Step-by-step explanation:

P(red) = 25%

P(white) = 75%

P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)

= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%

P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)

= 5C1 P(red)*P(white)^4 + 0.2637

= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637

= 0.6592 = 65.9%

Answer:

$3.88

Step-by-step explanation:

#1

Area

#2

Area

#3

Area

#4

Area

Answer:

Formula:    Area of a rectangle = width × length

Substitution:    Area = 2.5 mi × 5 mi

Answer:    Area = 12.5 mi²

Formula:   Area of a triangle = 1/2 × base × height

Substitution:   Area = 1/2 × (12 ft + 4 ft) × 5 ft

Answer:   Area = 40 ft²

Formula:  Area of a parallelogram = base × height

Substitution:   Area = 24 cm × 6 cm

Answer:   Area = 144 cm²

Formula:   Area of a parallelogram = base × height

Substitution:   Area = 7 m × 4 m

Answer:   Area = 28 m²

Answer:

∠A≅∠X          AB≅XZ

∠B≅∠Z          AC≅XY

∠C≅∠Y          BC≅ZY

ΔABC≅ΔZXY

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer:

(A) ✔ 0.45

(B) ✔ 0.06

(C) ✔ 0.39

(D) ✔ 7.77

Step-by-step explanation:

Got it right, hope this helps!

Answer:

Your answer is B) Function 1 has the smaller minimum value of -14.

Step-by-step explanation:

Method 1: Looking at the Function 1 and 2 points.

Method 2:

I have graphed functions 1 and 2 onto desmos to help determine which one has the smaller minimum.

Answer:

Simplify????

1. 24x + 348

2. 4005p

3. 432

Step-by-step explanation:

Step-by-step explanation:

first one- 24x + 348

second one- 4005p

third one- 432

Answer:

5.5 km/h

Step-by-step explanation:

→ 5% of 110

→ (5/100) × 110

→ 0.05 × 110

→ 5.5 km/h

Answer: Explanation:The slope-intercept form of a linear equation is: y=mx+bWhere m is the slope and b is the y-intercept value.We can subtract 5x from each side of the equation to put the equation in slope intercept form while keeping the equation balanced:−5x+5x+y=−5x+40+y=−5x+4y=−5x+4Therefore:The slope is: m=−5The y-intercept is: b=4 or (0,4)

Step-by-step explanation:

Answer:

Slope m=-5  Y intercept=4 (-5,4)

Step-by-step explanation:

To get the slope you will need Rise over Run. 5/1 which is slope

which will make x=0 and y=4  which is y intercept.

Answer:

2hours 20minutes

Step-by-step explanation:

hope this helps

Answer:

50

Step-by-step explanation:

100% - 8% = 92%

Proportions:

46 ⇒ 92%

A ⇒ 100%

A = 46*100/92

A = 4600/92

A = 50

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[3 - (-5)]^2 + [-7 - (-4)]^2}\implies d=\sqrt{(3+5)^2 + (-7+4)^2} \\\\\\ d=\sqrt{8^2 + (-3)^2}\implies d=\sqrt{64+9}\implies d=\sqrt{73}[/tex]

Answer:

A and C

Step-by-step explanation:

Because the numbers are smaller so you need to look for a bigger number than what the number you have is.

Answer:

271 to 133

Step-by-step explanation:

Step-by-step explanation:

The option "StartFraction 1 Over 3 Superscript 8" is correct

That is 138 is correct answer

Therefore [(2−2)(34)]−3×[(2−3)(32)]2=138

Step-by-step explanation:

Given expression is ((2 Superscript negative 2 Baseline) (3 Superscript 4 Baseline)) Superscript negative 3 Baseline times ((2 Superscript negative 3 Baseline)

Answer:

Possible base lengths are 1, 2, 3, 4, 5

Step-by-step explanation:

Area = base x height / 2

Let base be b

b x 8 / 2 < 24 (Area < 24)

4b < 24

b < 6

what is the question tho?

Answer:

a = 9

Step-by-step explanation:

45 = 4(a + 3) – 3

Add 3 to both sides.

48 = 4(a + 3)

Divide both sides by 4.

12 = a + 3

Subtract 3 from both sides.

9 = a

a = 9

Answer: a = 9

Answer:

A 95% confidence interval for the mean μ of a population is computed from a random sample and found to be 9 ±3. We may conclude that A. there is a 95% probability that μ is between 6 and 12.

Step-by-step explanation:

hope it helps

Answer:

The ratio is 1:4 or 1 computer for every 4 sixth graders.

Step-by-step explanation:

20 for 80 = 20:80

20:80 divided by 10:10 = 2:8

2:8 divided by 2:2 = 1:4

Step-by-step explanation:

short step

(-isin(π/6)+2×5cos(π/6) ei π/4)

I/2+5√3 4√-1

The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The trigonometric expressions are given below.

2 [cos(45°) + i sin(45°)] and 5 [cos(30°) + i sin(30°)]

Then the product of the trigonometric expressions is given as,

⇒ 2 [cos(45°) + i sin(45°)] × 5 [cos(30°) + i sin(30°)]

⇒ 10 [(cos 45° × cos 30° + sin 45° × sin 30° × i²) + i (sin 45° × cos 30° + cos 45° × sin 30°)]

⇒ 10 [cos (45° + 30°) + i sin (45° + 30°)]

⇒ 10 (cos 75° + i sin 75°)

The product of the trigonometric expressions will be 10 (cos 75° + i sin 75°).

More about the trigonometry link is given below.

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