Solve the right triangle. 34.5 Find the length of the side opposite to the given angle. (Round your answer to two decimal places.) Find the length of the side adjacent to the given angle. (Round your answer to two decimal places.) Find the other acute angle. rad

Answer:

1) 81.67 cm² (Option A)

2) 28.26 m² (Option B)

3) 153.86 mi.² (Option D)

4) 329.90 m² (Option A)

5) 63.585 ft.² (Option C)

Step-by-step explanation:

GENERAL FORMULAES TO BE USED IN THIS QUESTION :-

Diameter of a circle with radius 'r' = 2r

Area of a circle with radius 'r' = πr²

SOLUTION :-

1) Diameter of the dinner plate = 10.2 cm

Radius of the dinner plate = 10.2/2 = 5.1 cm

⇒ Area of the circle = π(5.1)² = 26.01π cm² ≈ 81.67 cm²

2) Length of his leash = 3m

⇒ Area the dog has to run around = π(3)² = 9π m² = 28.26 m²

3) Radius of the circular range of storm = 7 mi.

⇒ Area of the circular range of storm = π(7)² = 49π mi.² = 153.86 mi.²

4) Diameter of carousel = 20.5 m

Radius of carousel = 20.5/2 = 10.25 m

⇒ Area of the carousel = π(10.25)² = 105.0625π m² ≈ 329.90 m²

5) Radius of the range of sprinkler = 4.5 ft.

⇒ Area of the range of sprinkler = π(4.5)² = 20.25π ft.² = 63.585 ft.²

multiplication

hope this helped <3

Answer:

Linear pair.

Step-by-step explanation:

Answer:

Answer:

2-1 is 1

Step-by-step explanation:

hope that it is helpful yo you

Answer:

Two Equations are given below:

Answer:

area of triangle =1/2 x b x h

Step-by-step explanation:

=1/2 x 7 x 12

= 1/2 x 84

= 42 units

Answer:

9t + 171 = 7t + 17

9t - 7t =17 - 171

2t/2 = -154/2

t = -77

Answer:

A

Step-by-step explanation:

Answer:

4.33333333333

Step-by-step explanation:

first you do -2 times 1/3, which is -0.66666666666

then you subtract -5 wich would give you 4.33333333333

Answer:

y=5x

Step-by-step explanation:

If the input is x, then the out put is 5x. So y=5x

Answer:

A) H0 : μ = 100  

   H1 :  μ < 100

B)  39.2

C)  We fail to reject null hypothesis

D) If the professor increases the sample size the value of the test statistic will increase .

Step-by-step explanation:

sample variance ( s ) = 80

sample size = 50

At ∝ = 0.01  population variance ( σ )   < 100

a) Hypothesis

H0 : μ = 100  ( Null hypothesis )

H1 :  μ < 100  ( Alternate hypothesis )

b) Determine The correct test statistic

x^2 = ( n-1 ) * s^2/σ^2

      = ( 49 ) * 80^2 / 100^2

      = 39.2

C) Determine the conclusion of the test

The P-value = 0.1596  ( calculated )

The conclusion of the test is that we fail to reject null hypothesis given that

P-value ( 0.1596 ) > ∝ ( 0.01 )  

D) If the professor increases the sample size the value of the test statistic will increase .

Answer:

130mm

Step-by-step explanation:

I'm pretty sure you mean each of the sides is this length... so I'll go off of that. 20+10+20+60+20 is the addition for this problem.

20+10+20+60+20=130 is the answer.

Answer:

0.14

Step-by-step explanation:

0.14 is the probability that a person will retake their sexfie exactly 3 times.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given

Total frequency = 27+29+18+14+12 = 100

frequency of 3 retakes = 14

p(r) = frequency of 3 retakes/ Total frequency

p(r) = 14/100 = 0.14

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Answer:

62 sq cm

Step-by-step explanation:

if you find the area of the entire shape (12x6) you can then subtract out the cut-out portion (5x2)

72 - 10 = 62

Answer:

1,043 km

Step-by-step explanation:

hi hope you have a good dayy

Answer:

Distance between points (10, 19) and (-13, 9) is 25.0799

Step-by-step explanation:

Input Data :

Point 1 (xA, yA)  = (10, 19)

Point 2 (xB, yB) = (-13, 9)

Formula : Distance between two points = √(xB − xA)^2 + (yB−yA)^2

Solution :

Distance between two points = √(−13−10)^2+(9−19)^2=

√(−23)^2+(−10)^2

= √529+100

= √629

= 25.0799

hope this helps and is right. p.s i really need brainliest :)

2  Answers:

Choice C) It will use a closed circle

Choice D) The ray will move to the left

=========================================================

Explanation:

The inequality [tex]x \le -8[/tex] means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was [tex]x < -8[/tex] to exclude the endpoint -8.

The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.

In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.

9514 1404 393

Answer:

  B. (3/2x, 3/2y)

Step-by-step explanation:

It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:

  3/2

Dilation about the origin multiplies each coordinate value by the scale factor:

  (x, y) ⇒ (3/2x, 3/2y)

Answer:

By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean weight of 7 grams and a standard deviation of 2 grams.

This means that [tex]\mu = 7, \sigma = 2[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{2}{\sqrt{100}} = 0.2[/tex]

What would you expect as a sampling distribution if you were to take repeated samples of 100 widgets?

By the Central Limit Theorem, the sampling distribution of repeated samples of 100 widgets would be approximately normal with mean 7 grams and standard deviation 0.2 grams.

Answer:

x = 12.5

Step-by-step explanation:

Answer:

26 meters

Step-by-step explanation:

a = bh

416 = 16h

Divide both sides by 16

h = 26

26 meters

Answer:

Hello! answer: x = 4

Step-by-step explanation:

Because this is a 180 degree angle it will add up to 180 so 8 × 4 = 32 and 32 + 120 = 152 and 7 × 4 = 28 and 28 + 152 = 180 so 4 is x HOPE THAT HELPS!!

180 degree line-

180 = (8x + 120)

-120

60 = 8x

/8

7.5

x = 7.5

7(7.5) = 52.5

After 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the after x times the snow left on the road is less than 1/2 inches

Each time, the snowplow removes 3/4 of the snow.

Then according to the problem:

24 - 3x/4 = 1/2

3x/4 = 24 - 1/2

3x/4 = 47/2

3x/2 = 47

x = 47(2)/3 = 94/3 times

Thus, after 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.

Learn more about the fraction here:

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Answer:

option no.C 6

Step-by-step explanation:

3x+6=24

3x=24–6

3x=18

x=18/3

x=6

Answer:

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Step-by-step explanation:

hope it helps

Answer:

Transition:

1) The vertex point moves 3 steps to the right

2) Then, it goes up 5 steps

This equation is positive so the graph will face upwards.

The vertex will end up as: (3, 5)

The two other points will be:

Point 1 - (2,6)

Point 2 - (4,6)

Answer:

28

Step-by-step explanation:

Answer:

I believe it is 20

Step-by-step explanation:

NO is 10 and NO is equal the bottom of the triangles. There are 2 bottoms of triangles in JK 10x2 would be 20.

Step-by-step explanation:

Think of every surface as a 2D shape.

you know that

Area of a triangle is: A = 0.5 b h

Area of a square is: A = L x W

You add each area thats exposed

for example: the front and back of the triangle would be (0.5 x 3cm x 8cm) x 2 [since there are two faces]