The circle shown has a radius of 4 cm.
What is the area of the circle to 1 decimal place?

Answers

Answer 1

Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer 2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265


Related Questions

Raymond is designing a ceramic pot on a coordinate system where each unit corresponds to 1 millimeter. The neck of the
pot has edges with the shape of a hyperbola, where the asymptotes y = 2.75x and y = -2.75x are followed. If the closest
that any part of the neck edges comes to the center of the neck is 32 millimeters, write an equation for the hyperbola used
to model the edges.

Answers

9514 1404 393

Answer:

  x^2/1024 -y^2/7744 = 1

Step-by-step explanation:

The parent hyperbola relation is ...

  x^2 -y^2 = 1

This has asymptotes of y = ±x and x-intercepts of ±1.

For the given hyperbola, we want to scale x by a factor of 32, and y by a factor that is 2.75 times that, or 88. Then the equation could be written as ...

  (x/32)^2 -(y/88)^2 = 1

More conventionally, the denominator is shown at full value:

  x^2/1024 -y^2/7744 = 1

HELP MEEEEEEEEEEEEEEEEEEEEEWEW

Answers

Take a photo of it and then put the photo in Photo math

At : a.m. the angle of elevation of the sun for one city is . If the height of a monument is approximately , what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answers

This question is incomplete, the complete question;

At 11:30 a.m. the angle of elevation of the sun for one city is 55.7°. If the height of a monument is approximately 555 ft, what is the length of the shadow it will cast at that time? Round to the nearest foot.

Answer:

the length of the shadow will be 379 ft

Step-by-step explanation:

Given the data in the question and as represented in the diagram below;

height of monument = 555 ft

angle of elevation = 55.7°

From the image below, this makes a right angled triangle

we know that the some of the interior angles of a triangle is 180

so

∠ABC + ∠BCA + ∠CAB = 180°

90° + 55.7° + ∠CAB  = 180°

∠CAB = 180° - 145.7°

∠CAB = 34.3°

Now, using sine rule;

BC / sinA = AB / sinC

so we substitute

BC / sin( 34.3°) = 555 / sin( 55.7° )

BC / 0.563526 = 555 / 0.826098

we cross multiply

BC × 0.826098 = 0.563526 × 555

BC × 0.826098 = 312.75693

BC = 312.75693 / 0.826098

BC = 378.595 ≈ 379 ft

Therefore, the length of the shadow will be 379 ft

Only higher experienced need answer theorems all 5 questions. Thank you 200points if repeating the last question.

Answers

Answer:

first one : inscribed angles create arc twice their degree

so, 115° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Answer:

15° created a 230 ° arc

360 - 230 = 130°

that means ∠EDG = 1/2 (130) or 65°

second : ∠ABD = 180 - 112 = 68

The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.

Central Angles and arcs are equal

360° - 136° = 224°

224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°

Third: ∠ACB and ∠ AOB create the same arc.

since ∠ACB is 48°, the arc is 96° (twice the angle)

if the arc is 98° then the central angle ∠AOB = 98°

360°-98° = 262°

You need this because ∠APB is 1/2(262-98) or 82°

Fourth : Both inscribed angles create the same arc

so the angles are equal

∠DEG = 38°

Step-by-step explanation:

Convert the following equation into slope-intercept form.

x-26y=52

Answers

y=1/26x-2 would be the answer

Who can answer this? I’ll mark brainliest!!

Answers

Answer:

y = 0.48(x - 0.5)² - 3

y = 0.48(x² - x - 6)

Step-by-step explanation:

From the graph the zeros are

x = {-2, 3}

The x coordinate of the vertex is the midpoint of the roots

x = (-2 + 3) / 2

x = 0.5

The y coordinate of the vertex is

y = -3

vertex = (0.5, -3)

--------------------------------------

Merhod I - vertex

Vertex form is

y = a(x - h)² + k

plug in the vertex

y = a(x - 0.5)² - 3

to find a plug in either root

using x = 3

0 = a(3 - 0.5)² - 3

0 = a(2.5)² - 3

0 = 6.25a - 3

3 = 6.25a

a = 3/6.25

a = 0.48

y = 0.48(x - 0.5)² - 3

-----------------------------

Method II - roots

y = a(x + 2)(x - 3)

-3 = a(0.5 + 2)(0.5 - 3)

-3 = a(2.5)(-2.5)

-3 = -6.25a

3/6.25 = a

0.48 = a

y = 0.48(x + 2)(x - 3)

Expand

y = 0.48(x² - x - 6)

Find the volume of the following shapes. Round to tenths and don’t forget the units. Show your work!
please help thx

Answers

Answer:

Step-by-step explanation:

1). Figure (1) comprises two cuboids, one small cuboid placed on the big cuboid at the bottom.

Volume of the figure = Volume of the cuboid on the top + Volume of the cuboid at the bottom

Volume of the cuboid on the top = Length × Width × Height

                                                   = 4 × 6 × 5

                                                   = 120 mm³

Volume of the cuboid at the bottom = Length × Width × Height

                                                        = 9 × 6 × 4

                                                        = 216 mm³

Volume of the figure = 120 + 216

                                   = 336 mm³

2). Figure shown in the picture has two parts,

Cone placed on the top of a cylinder.

Volume of the given figure = Volume of cone + Volume of cylinder

                                          = [tex]\frac{1}{3}\pi r^{2}h+\pi r^{2}h'[/tex]

                                          = [tex]\frac{1}{3}\pi (\frac{3}{2})^{2}(3)+\pi (\frac{3}{2})^{2}(8.1)[/tex]

                                          = [tex]\frac{9}{4}\pi +18.225\pi[/tex]

                                          = [tex](2.25+18.225)\pi[/tex]

                                          = [tex]20.475\pi[/tex]

                                          = 64.3 ft³

Therefore, volume of the given figure = 64.3 ft³.

log (3x+5)=log (2x-7)

Answers

Answer:

x=-12  (BUT IS EXTRENUS)

Step-by-step explanation:

If u dont know what extraneous is, dont worry about it...

PLS HELP ME!!!! use the properties of exponents to simplify the expression

Answers


Answer: 3

(27^1/2)2/3

So this means you multiply the exponents.

27^2/6

Simplify that 27^1/3

So cubed root of 27 is three.

Answer:

According to Indices

(a⁴)²... The exponents will multiply each other to give (a⁶)

Using this here

The two Index would Multiply to give

½ x ⅔ = ⅓

= (27)⅓

Any Number to the Index of ½ simply means its Square root

so also...

Any Number to the index of ⅓ means its cube root...

Cube root of 27 = 3.

So

Option B is your answer.

Suppose a certain state university's college of business obtained the following results on the salaries of a recent graduating class:

Finance Majors Business Analytics Majors
n1 = 140 n2 = 30
x1 = $48,237 x2 = $55,417
s1 = $19,000 s2 = $10,000

Required:
a. Formulate hypotheses so that, if the null hypothesis is rejected, we can conclude that salaries for Finance majors are significantly lower than the salaries of Business Analytics majors. Use α = 0.05. (Let μ1 = the population mean salary for Finance majors, and let μ2 = the population mean salary for Business Analytics majors.
b. What is the value of the test statistic?
c. What is the p-value? (Round your answer to four decimal places.)
d. What is your conclusion?

Answers

Answer:

Following are the responses to the given choice:

Step-by-step explanation:

For point a:

[tex]H_0: \mu_1 - \mu_2 = 0\\\\ H_1: \mu_1 - \mu_2 < 0[/tex]

For point b:

[tex]t = -2.953[/tex]

For point c:

[tex]\to p- value = 0.0021[/tex]

For point d:

Reject [tex]H_o[/tex]. It could deduce that the pay of higher banking is considerably lower than the pay of higher project management.

A particle sits on a smooth surface and is acted upon by a time dependent horizontal force, giving it an
acceleration of a = 2t
2 + 4t where t is in seconds. Given that it is initially at rest and experiences no resistance
to motion, find:
a) The velocity of the particle at time t.
b) The distance travelled by the particle if acted on by the force for 8s

Answers

(a) By the fundamental theorem of calculus,

v(t) = v(0) + ∫₀ᵗ a(u) du

The particle starts at rest, so v(0) = 0. Computing the integral gives

v(t) = [2/3 u ³ + 2u ²]₀ᵗ = 2/3 t ³ + 2t ²

(b) Use the FTC again, but this time you want the distance, which means you need to integrate the speed of the particle, i.e. the absolute value of v(t). Fortunately, for t ≥ 0, we have v(t) ≥ 0 and |v(t) | = v(t), so speed is governed by the same function. Taking the starting point to be the origin, after 8 seconds the particle travels a distance of

∫₀⁸ v(u) du = ∫₀⁸ (2/3 u ³ + 2u ²) du = [1/6 u ⁴ + 2/3 u ³]₀⁸ = 1024

ASAP there are three marbles in a bag. One is red and two are black. What is the probability of picking a black marble first, putting it back in the bag and then picking a black marble? Use the following probability to find the answer.

Answers

Answer:

[tex] \frac{4}{9} [/tex]

Step-by-step explanation:

[tex]p = \frac{favorable \: outcomes}{total \: outcomes} = \frac{4}{9} [/tex]

Answer:  Choice D)  4/9

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

Explanation:

The probability you get a black marble on the first selection is 2/3 since we have 2 black marbles out of 2+1 = 3 total.

We put the marble back and then we have 2/3 as the probability of selecting another black marble on the second try. Nothing has changed because we put the marble back. That means the events are independent.

So we get (2/3)*(2/3) = 4/9 as the probability of selecting 2 black marbles in a row (with replacement).

A cone has a volume of 94.2 cubic millimeters and a radius of 3 millimeters. What is its
height?

Answers

Answer:

the answer is 97.2

Step-by-step explanation:

Just add 94.2+3

In a binomial experiment :________

a. the probability does not change from trial to trial
b. the probability does change from trial to trial
c. the probability could change from trial to trial, depending on the situation under consideration
d. None of these alternatives is correct.

Answers

Answer:

Hence the correct option is Option (a).

Step-by-step explanation:  

Option (a) is correct.  

The probability does not change from trial to trial.  

p = Probability of sucess.

for f(x)=4x+1 and g(x)=x^2-5, find (f-g) (x) need help guys!

Answers

Answer:

-x^2 +4x +6

Step-by-step explanation:

f(x)=4x+1

g(x)=x^2-5

(f-g)(x) = 4x+1 - (x^2-5)

Distribute the minus sign

           = 4x+1 - x^2 +5

           = -x^2 +4x +6

Consider the expression 63+81 how can you use the distributive property and the gcf to find an equivalent expression?explain how you can check your answer

Answers

Step-by-step explanation:

63+81

gcf = 9

63÷9=7, 81÷9=9

so, 63+81 = (9×7)+(9×9)

= 9×(7+9)

63+81 = 144

9x(7+9) = 9×16 = 144

simplify 4x-x squared ÷2x-x squared​

Answers

Answer:

[tex] \frac{4x - x}{2x - x} \\ = \frac{x(4 - 1)}{x(2 - 1)} \\ = \frac{3}{1} \\ = 3[/tex]

Answer:

[tex]\frac{7x}{3} \\[/tex]-[tex]x^{2}[/tex]

Step-by-step explanation:

B is the midpoint of segment AC trying to find AB using the definition of midpoint.

Answers

Answer:

12

Step-by-step explanation:

A midpoint of a line means that each segment connecting from the midpoint to an end is equal. For this problem, this means that AB = BC, as B is the midpoint, and A and B are the ends. Therefore, we can say that:

AB = BC

2x + 6 = 5x - 3

add 3 to both sides

2x + 9 = 5x

subtract 2x from both sides

9 = 3x

divide both sides by 3

3 = x

Plugging 3=x into AB, this means that 2(3) + 6 = AB = 12

1.62 was multiplied by a power of ten to get 16.2. What power of ten was it
multiplied by?
10
100
1,000

Answers

Answer:

10

Step-by-step explanation:

Every time you multiply by 10 you move the decimal point one digit to the right. So if you multiply 1.62 by 10 you move the decimal point one digit to the right so it becomes 16.2.

So the answer is 10

Answer:

The answer is 10

Step-by-step explanation:

Every time you multiply by a power of 10 that does not have a negative exponent, the decimal point moves to the right.

How many times, you might wonder. It all just depends on how many zeroes there are. If there's one 0, (10) then the decimal point just moves one over, if were multiplying by 100 then 2 places over, 1000 three places over, and so on.

1.62 * 10 = 16.2, since the decimal point moved one to the right.

10 is therefore the answer, but if you wanted to you could check the other answers as well.

1.62 * 100 = 162

1.62 * 1000 = 1620

Therefore, the answer is 10. Please mark brainliest if possible. Have a nice day.

The question is one the picture

Answers

Answer:

y=-1/2x+4

Step-by-step explanation:

The line is going down, which means it's negative. You then do rise over run, go up by 1 and go to the left by 2. To find the y intercept, it's 4 since the coordinate is (0,4).

The cost of making 6 chairs is $410. The cost of making 22 chairs is $570.
What is the cost per chair?
What is the fixed cost (or startup cost) that you need to spend before making the first chair?
Write a linear equation that tells you the total cost, C. of making x chairs.
CE
What is the total cost of making 17 chairs? $
If your total cost is $820, how many chairs did you make?

Answers

Answer:

if it cost 410 dollars to make 6 chairs we can divide 410 by 6 which is 68.3333333333 or 68 1/3

now for the other set of chairs we can divide 570 by 22 which is

25.9090909091 or 25.9

and for the rest it doesn't make any sense to me sorry

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:
a. Let F = the event of getting the white ball twice.
b. Let G = the event of getting two balls of different colors.
c. Let H = the event of getting white on the first pick.
d. Are F and G mutually exclusive?
e. Are G and H mutually exclusive?

Answers

Answer:

See explanation

Step-by-step explanation:

Given

Represent the balls with the first letters

[tex]W =1[/tex]

[tex]R =1[/tex]

Solving (a): P(F) --- White balls twice

The event of F is:

[tex]F = \{(W,W)\}[/tex]

So:

[tex]P(F) = P(W) * P(W)[/tex]

[tex]P(F) = \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(F) = \frac{1}{2} * \frac{1}{2}[/tex]

[tex]P(F) = \frac{1}{4}[/tex]

Solving (b): P(G) --- two different colors

The event of G is:

[tex]G = \{(W,R),(R,W)\}[/tex]

So:

[tex]P(G) = P(W) * P(R) + P(R) * P(W)[/tex]

[tex]P(G) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(R)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(G) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}[/tex]

[tex]P(G) = \frac{1}{4} + \frac{1}{4}[/tex]

[tex]P(G) = \frac{1}{2}[/tex]

Solving (c): P(H) --- White picked first

The event of H is:

[tex]H = \{(W,R),(W,W)\}[/tex]

So:

[tex]P(H) = P(W) * P(R) + P(W) * P(W)[/tex]

[tex]P(H) = \frac{n(W)}{n} * \frac{n(R)}{n} + \frac{n(W)}{n} * \frac{n(W)}{n}[/tex]

[tex]P(H) = \frac{1}{2} * \frac{1}{2} + \frac{1}{2} * \frac{1}{2}[/tex]

[tex]P(H) = \frac{1}{4} + \frac{1}{4}[/tex]

[tex]P(H) = \frac{1}{2}[/tex]

Solving (d): F and G, mutually exclusive?

We have:

[tex]F = \{(W,W)\}[/tex]

[tex]G = \{(W,R),(R,W)\}[/tex]

Check for common elements

[tex]n(F\ n\ G) = 0[/tex]

Hence, F and G are mutually exclusive

Solving (e): G and G, mutually exclusive?

We have:

[tex]G = \{(W,R),(R,W)\}[/tex]

[tex]H = \{(W,R),(W,W)\}[/tex]

Check for common elements

[tex]n(G\ n\ H) = 1[/tex]

Hence, F and G are not mutually exclusive

4/3/8
pls help
i will mark brainliest

Answers

Answer:

umm can you be more specific

Step-by-step explanation:

Answer:

32/3

Step-by-step explanation:

4 ÷ 3/8

 4        3

___ ÷ ___ (reciprocal method, then change the operation to multiplication)

 1         8

 4        8

___ × ___  (multiply)

 1         3

= 32/3

since 32/3 is already reduced, the final answer would be 32/3.

Mrs.Montana has five students namely:rodley,cristina,christian,elsa and made .Count all the letters in each name.In which of the following sets the order of the names least to greatest.
ARodley,cristina,Christian,mae,elsa
Bcristina,Christian elsa mae rodley
c Mae elsa rodley cristina Christian
D Christian Cristina rodley mae elsa

Answers

Answer:

C

Step-by-step explanation:

Mae, Elsa, Rodley, Cristina, Christian

What is the monthly payment on a 15-year loan of $57,900 if the annual interest rate is 12%?​

Answers

The answer is $457 a month

Which represents a quadratic function?
f(x) = -8X^3 – 16x^2 - 4x
f(x) = 3/4+ x^2 - 5
f(x) = 4/x^2-2/x+1
f(x) = 0x^2 - 9x + 7


Answers

Answer:

f(x) = 3/4x^2 + 2x -5

quadratic function formula is ax^2+b^2+c

How to learn tables 11 to 15
For 12 years old easyliy please tell guys ​

Answers

Answer:

For eleven, it had the same two numbers. For twelve, it continues up by even numbers. For thirteen, it's the same as twelve but by odd numbers. For fourteen, it's a little difficult but they have a pattern for every five multiples of fourteen. For fifteen, the numbers add by five but also counting up.

Step-by-step explanation:

Examples for the table of eleven would be: 11 × 3 = 33 or 11 × 6 = 66.

Table twelve would be (as examples): 12 × 2 = 24 and 12 × 3 = 36.

Table thirteen have numbers/answers like: 13 × 7 = 91 and 13 × 8 = 104.

Table fourteen as examples: 14 × 3 = 42 or 14 × 4 = 56.

Table fifteen would be like: 15 × 6 = 90 and 15 × 7 = 105.

The outer diameter of a spherical shell is 36 pie cm³and its inner diameter is 9 cm. Find the volume of the metal contained the shell.
please help will give brainliest ​

Answers

Answer:

may be 11.460

sorry to say this but I'm not sure bout my answer

(ー_ー✿)

14.32 × 1.2,...........

Answers

Answer:

17.18400

Step-by-step explanation:

When rounded to the nearest whole number, it's 17.

Hope this helped :)

Moving to another question will save this response.
1 points
Save Answer
Question 12
Mr Espent 65% of his salary on household expenses, and 15% of the remainder on travelling expenses and was finally left with R9 500. How much was his salary?​

Answers

Answer:

rs.1680.67

Step-by-step explanation:

His salary = x

remaining % = 100 - 65 = 35%

= 100 - 15 = 85%

x × 35/100 × 85/100 = 500

x = 1680.67

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