answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dahasolnce [82]
2 years ago
5

A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of

the arc, to the nearest cm

Mathematics
2 answers:
Ksju [112]2 years ago
5 0

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

lions [1.4K]2 years ago
5 0

Answer:

a. 2m

b. 5m

Step-by-step explanation:

a. from the triangle assuming ABC

half triangle ABC will be ABO and ACO

AO = OB = 4.20m ÷ 2

AO = OB = 2.1m

finding the angle between AB and AC

360 - 225 = 135°

the angle between AB and AO

135÷2= 67.5°

using sin to find the length of AB = radius

sin 67.5 = 2.1/r

r= 2.2730 ~2m

b. theta/360 ×2πr = length of the arc

L= 135/360×2×22/7 × 2.2730

Length of the arc = 5.3578m ~ 5m

You might be interested in
An insurance adjuster processes the claims of six policy holders in an eight hour work day. The adjuster uses $5 in gasoline and
Bad White [126]

Answer:

D

Step-by-step explanation:

Labor productivity is is measured per hours.

Hence, the work he does [amount of claims] will be distributed amongst the amount of hours he works. The amount of dollar he uses <em>doesn't matter for labor productivity.</em>

<em />

Thus, his work is 6 claims. He does that is 8 hours. So claim/hr is:

6/8 = 0.75 claims per hour

Answer choice D is right.

6 0
2 years ago
A certain car traveling at 34.0 mph skids to a stop in 29 meters from the point where the brakes were applied. in approximately
Orlov [11]
<span>Using the kinematic equations: (final velocity)^2 = (initial velocity)^2 - 2 * acceleration * distance Assuming the acceleration/deceleration on the car is constant from a constant force on the brakes. Converting from mph to m/s using 0.447 (so 34 mph is 15.2 m/s) (0)^2 = (15.2)^2 - 2 * acceleration * 29 acceleration = 4.0 m/s^2 Had the car been going 105.4 mph (47.1 m/s) (0)^2 = (47.1)^2 - 2 * 4 * distance distance = 277 meters</span>
6 0
2 years ago
Suppose you roll a six-sided 50 times and calculate the mean roll, x .
Vitek1552 [10]

Answer:

0.07

a. the distribution will be a normal distribution.

c. we would suspicious ins there is a 2 % chance of getting the required value.

Step-by-step explanation:

Let the number of times, t be = 50

Assuming that the die is fair

standard deviation = 1.71

mean = 3.5

suppose we want tp find the probability of a 2 showing. The solution becomes:

probability = \frac{2}{6}  = \frac{1}{3}

c. the  mean of rolls will be 0.07

8 0
2 years ago
Which sets of numbers contain whole numbers? Check all that apply. Negative 2 and StartFraction 5 Over 6 EndFraction, negative 5
Zigmanuir [339]

Answer:

The whole numbers are 0 and 79.

Step-by-step explanation:

The numbers provided are as follows:

-2\frac{5}{6},\ -54,\ -4,\ -57,\ -89,\ 79,\ \frac{6}{9},\ \\\\-19\frac{2}{3},\ \frac{2}{4},\ 0,\ \frac{2}{7},\ -3,\ -2, -7,\ -8,\ \\\\\frac{1}{8},\ -\frac{4}{8},\ 1\frac{3}{8},\ -\frac{7}{8}

Whole numbers are a set of natural positive numbers and 0. This set basically consists of counting discrete numbers.

Such as: 0, 1, 2, 3, 4, 5....

From the provided set of numbers the whole numbers are:

S = {79 and 0}

Thus, the whole numbers are 0 and 79.

8 0
2 years ago
What can you say about the end behavior of the function f(x)=log10(5x-1)
natima [27]
The given function is
f(x) = log₁₀(5x-1)

As x -> -∞, the argument of the log function becomes a large negative number.
Because the log of a negative number is undefined, f(x) is undefined as x -> -∞.

As x -> +∞, the argument of the log function becomes a large positive number.
Therefore f(x) -> +∞ as x -> +∞.

Answer:
As x -> -∞, f(x) is undefined.
As x-> +∞, f(x) -> +∞.
6 0
2 years ago
Read 2 more answers
Other questions:
  • In the first year of ownership, a new car can lose 20% of its value. If a car lost $4200 of value in the first year, how much di
    8·2 answers
  • Elaine bought $4 worth of apples and $3 worth of lemons did her grocery bag weigh more than 5 1/4
    12·1 answer
  • What dose 0.07x1.22 eaqual
    7·2 answers
  • On the grid draw a scaled copy of quadrilateral ABCD with a scale factor 2/3
    13·1 answer
  • A function of the form f(x) = abx is modified so that the b value remains the same but the a value is increased by 2. How do the
    7·2 answers
  • Which expression is equivalent to sqrt 900f^6/100g^4
    6·2 answers
  • Disney held a breakfast for parents and their children to eat with Mickey mouse. adult tickets cost $17.95 and children's ticket
    12·1 answer
  • TravelEz sells dollars at a rate of ($1.40)/(1 euro) and buys dollars at a rate of ($1.80)/(1 euro). At the beginning of a trip,
    6·1 answer
  • Your restaurant has assets of $64,342 and liabilities of $47,266. What is the equity of your business?
    9·1 answer
  • Bacteria in a dirty glass triple every year. If there are 25 bacteria to start, how many are in the glass after 8 hours?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!