hegarty maths- help asap please 1

Hegarty Maths- Help Asap Please 1

Answers

Answer 1

Answer:

x ≈ 3.4 mm

Step-by-step explanation:

using the Sine Rule in the triangle

[tex]\frac{x}{sin27}[/tex] = [tex]\frac{7.1}{sin73}[/tex] ( cross- multiply )

x × sin73° = 7.1 × sin27° ( divide both sides by sin73° )

x = [tex]\frac{7.1sin27}{sin73}[/tex] ≈ 3.4 mm ( to 1 dec. place )


Related Questions

insert four arithmetic means between -1 and 14​

Answers

Answer:

The arithmetic means are;

6.5 , 2.75, 4.125 , 4.8125

Step-by-step explanation:

We start by finding the mean of the two numbers;

(14-1)/2 = 13/2 = 6.5

Next;

(-1 + 6.5)/2 = 5.5/2 = 2.75

Next

(2.75 + 5.5)/2 = 4.125

Next;

(4.125 + 5.5)/2 = 4.8125

I need help with this please​

Answers

7.62 X 10 to the -6th power goes to the third one

7.62 X 10 to the 5th power goes to the second

and 7.62 X to the -4th power goes to the fourth

and i think you have the first one right!

i really hoped this helped you

37 = 78
=
=
=
=
OB
OA. () ° = 73.73.75 = 7.(1 +3 + ) = 7.5 = 7.1 = 7
O B. (73) – 73.78.7) = 7.7) = 3-1.7 = 1.7 = 7
OC (-1) = 73.78.7= 73+3+= 78 = 72 = 7
OD. (-)' = 78.78.74 = 73.3.1 = 78 = 72 = 7
O
=
=

Answers

Answer:

C

Step-by-step explanation:

When we multiply numbers of the same base regardless of the exponent, we add the exponents together.

So,

[tex]2 {}^{x} \times 2 {}^{y} = 2 {}^{x + y} [/tex]

Similarly for this case multiplying the 3 7's ^1/3 would simply mean we are adding 3 1/3's together, to get 7^3/3, which is essentially 7^1=7

This composite figure is made up of three simpler shapes. What is the area of
the figure?
2 cm
6 cm
8 cm
4 cm
10 cm
A. 94 square centimeters
B. 47 square centimeters
C. 100 square centimeters
D. 70 square centimeters

Answers

Answer:

a. 94 square centimeters

Step-by-step explanation:

You are trying to order 14 pound of saffron, but the ordering system wants a decimal. What should you type in?

Answers

Answer:

1.4x10^1

Step-by-step explanation:

1.4 multiplied by 10 to the power of 1 is 14

You could also just put in 14.0 because that is also a decimal

Hope this helped!

Answer:

1.4

Step-by-step explanation:

An airline wants to survey customers about their overall satisfaction. They take a random sample of 1,000 complete the survey a $25 gift card that can be used almost anywhere.


Which is the answer!!!

Answers

The best example of nonresponse bias from the scenario of this airline surveying customers is that Satisfied customers might be less likely to complete the survey than dissatisfied customers.

What is nonresponse bias?

Nonresponse bias refers to a situation that arises where people are less inclined to provide feedback because their experience was different from those who did.

Satisfied customers would be less inclined to talk about their overall satisfaction than unsatisfied customers as the latter would use the opportunity to make their dissatisfaction known.

Find out more on nonresponse bias at https://brainly.com/question/25116315.

What is the missing number in this pattern?
10,
11,
21,
32,
53,
85,
138,
223,

Answers

One criterion that we can use to analyze patterns is to look at the difference between consecutive terms. With this, we will see that the missing number is 361.

For the first two we have:

11 - 10 = 1

for the second and third:

21 - 11 = 10

for the fourth and third:

32 - 21 = 11

for the fifth and fourth:

53 - 32 = 21

We already can see the pattern, the n-th term can be written as:

Aₙ = Aₙ₋₁  + Aₙ₋₂

This means that the missing number, the next one, will just be equal to the sum of the two previous ones.

Then the next number is:

N = 138 + 223 = 361

If you want to learn more, you can read:

https://brainly.com/question/23037339

54% of people do not have a home phone, if there are 842 people in a small town, how many people does not have a home phone

Answers

Answer:

454 people dont have a home phone

Step-by-step explanation:

842/100=8.42

8.42×54= 454.68

you cant have .68 of a person so its 454

Answer:

Please see below.

Step-by-step explanation:

100% = 842

50% = 421

10% = 84.2

1% = 8.42

4% = 33.68

54% = 454.68

You can round up or down to 454 or 455.

Please let me know if I'm incorrect!

The weights of 2-pound bags of best dog food are approximately normally distributed with a given mean mu and standard deviation sigma. according to the empirical rule, what percentage of the bags will have weights within 3 standard deviations of the mean? 47.5% 68% 95% 99.7%

Answers

The approximately 99.7% of the bags will have lengths within 3 standard deviations.

We have given that the weights of 2-pound bags of best dog food are approximately normally distributed with a given mean and standard deviation.

What is the empirical rule for a normal distribution?

The empirical rule for a normal distribution states that approximately all of the data falls within 3 standard deviations of the mean.

So the approximately 68% data falls within 1 standard deviation of the mean.

and the approximately 95% of data falls within 2 standard deviation of the mean.

Now the approximately 99.7% data falls within 3 standard deviation of the mean.

As the weights of 2-pound bags of best dog food are normally distributed,

Therefore, approximately 99.7% of the bags will have lengths within 3 standard deviations of the mean and option D is the correct choice.

To learn about the standard deviation visit:

https://brainly.com/question/475676

Answer:

option d

Step-by-step explanation:

A barrel with a 60 liter capacity is half full. We can transfer all that liquid into 240 bottles with a quarter liter of capacity.
True False

Answers

[tex]\frac{1}{4}[/tex]Answer:

False

Step-by-step explanation:

A barrel with a 60 liter capacity is half full, therefore there are 30 liters in the barrel.

If we use 240 bottles with a capacity of 1/4 liters, how many liters do we need to fill the 240 bottles?

240 x [tex]\frac{1}{4}[/tex]L = [tex]\frac{240}{4}[/tex] = 60L

Therefore, it is false because we only have 30 liters, we can't fill the 240 bottles

find the 2 and the 4

Answers

Answer:

101°

Step-by-step explanation:

angle 5 = angle 3(interior alternate angles)

so angle 2 = 101

angle 2=angle 4 = 101°(vertically opposite angles)

Jessie goes to the market every 64 days. Chris goes to the same market every 72 days
They met each other one day. How many days later ws they meet each other again? Pleaseee answer this question

Answers

Answer:

576

Step-by-step explanation:

64×9 = 576

72×8= 576

The LCM of both numbers is 576

Answer:

Step-by-step explanation:

It will be the least common multiple of 64 and 72 days

64 = 2 * 2 * 2 * 2 * 2 * 2 = 2⁶

72 = 2*2*2*3*3 = 2³ * 3²

LCM = 2⁶ * 3² = 64 * 9 =  576

Both will meet each other again 576 days

some PLEASE help me!! If y = x^2 e^x, then dy/dx =

Answers

Answer:

option c

Step-by-step explanation:

if y= x^2 e^x then the derivative is x^2 * e^x + e^x * 2x

take e^x and x as commom so we get e^x * x ( x+2)

Which of these is a simplified form of the equation 7z 2 = 8 2z 1z? 10z = 6 10z = 10 4z = 6 4z = 10.

Answers

Like terms are those terms that are having the same variables and order. The simplified form of the given equation 7z+2=8+2z+1z is 4z=6.

What are Like terms?

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The given equation to us is 7z+2=8+2z+1z, simplifying the equation we will get,

[tex]7z + 2 = 8 + 2z + 1z\\\\\text{Bring the like terms on the same side of the equation}\\\\7z -2z-1z = 8 -2\\\\7z-3z=6\\\\4z = 6[/tex]

Hence, the simplified form of the given equation 7z+2=8+2z+1z is 4z=6.

Learn more about Like Terms:

https://brainly.com/question/2513478

David's new truck can hold up to 26 gallons of gasoline. David's fuel display shows he has 9.4 gallons left before the tank is empty. David purchases gasoline for for $2.35 per gallon to fill his truck to capacity. How many gallons of gasoline does David purchase?

Answers

Answer:

39.01

Step-by-step explanation:

26 - n = 9.4

26 - 9.4 = n

n = 16.6

If you need the cost of all the gallons it costs $39.01

2. E
Kim baked 20 cookies. Her friend Amy
ate 4 cookies, and her brother ate 2
of the cookies. Which expression can
Kim use to find out how many cookies
are left?
a.
a.
20+ (4 + 2)
b. 20 - (4 + 2)
(20 - 4) + 2
d. 20 - (4-2)
b.
C.
d.

Answers

Answer:

20-(4+2)

Step-by-step explanation:

So since they are eating, they are taking away, or subtracting.

Answer:

20 - (4 + 2)

Step-by-step explanation:

The original amount is 20.

The number of cookies left is the original amount minus the amount that was eaten.

Amy ate 4 cookies.

Her brother ate 2 cookies.

Amount that was eaten: 4 + 2

Amount left = original amount - amount that was eaten

amount left = 20 - (4 + 2)

What two numbers that multiply -30 and add up to -1

Answers

Car see it theninlanfe

Answer: 7

Step-by-step explanation:

A block is 20 cm long 12 cm wide and 5cm high Find the volume of 40 such blocks​

Answers

Answer:

Find the volume of a concrete block that is 2.5 metres long,. 12 centimetres wide and. 10 centimetres high. Two of the dimensions, the width and height,

Answer:

480,000 cm3

Step-by-step explanation:

give crown please ( brainliest )

find x. thank you !!

Answers

Answer:

use Pythagoras theorem to get the x

the vertex of a parabola is located at (-2,5). If the parabola has a y-intercept of -27, which quadratic function represents the parabola in standard form? y=a(x-p)^2 +q

Answers

Answer:

            f(x) = -8(x + 2)² + 5

Step-by-step explanation:

y = a(x - p)² + q  - the vertex form of an equation of a parabola with a vertex (p, q)

(-2, 5)  ⇒  p = -2,   q = 5

y = a(x + 2)² + 5   - the vertex form of an equation of the parabola with vertex (-2, 5)

y-intercept of -27 means x=0,  y=-27

-27 = a(0 + 2)² + 5

-27 -5 = a(2)² + 5 -5

-32 = 4a

  a = -8

The equation of the parabola in vertex form that has a vertex (-2, 5) and y-intercept of -27:

                              f(x) = -8(x + 2)² + 5

Hello, could anyone please help me with my homework?
Solve for t.
[tex]\mathrm{20=100(\displaystyle\frac{1}{2}) ^{\displaystyle\frac{t}{214} } }[/tex]
Please help!
No spam!
Thank you in advance. :)

Answers

Answer: See below

Step-by-step explanation:

[tex]100\left(\frac{1}{2}\right)^{\frac{t}{214}}=20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}100[/tex]

[tex]\frac{100\left(\frac{1}{2}\right)^{\frac{t}{214}}}{100}=\frac{20}{100}[/tex]

[tex]Simplify[/tex]

[tex]\left(\frac{1}{2}\right)^{\frac{t}{214}}=\frac{1}{5}[/tex]

[tex]\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right)[/tex]

[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right)[/tex]

[tex]\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{214}}\right)=\frac{t}{214}\ln \left(\frac{1}{2}\right)[/tex]

[tex]\frac{t}{214}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\frac{\ln \left(\frac{1}{2}\right)t}{214}=\ln \left(\frac{1}{5}\right)[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}214[/tex]

[tex]\frac{214\ln \left(\frac{1}{2}\right)t}{214}=214\ln \left(\frac{1}{5}\right)[/tex]

[tex]-\ln \left(2\right)t=-214\ln \left(5\right)[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-\ln \left(2\right)[/tex]

[tex]\frac{-\ln \left(2\right)t}{-\ln \left(2\right)}=\frac{-214\ln \left(5\right)}{-\ln \left(2\right)}[/tex]

[tex]t=\frac{214\ln \left(5\right)}{\ln \left(2\right)}[/tex] or [tex]\mathrm{Decimal}:\quad t=496.89261\dots[/tex]

Answer:

[tex]\sf t= 496.9[/tex]

solving steps:

[tex]\rightarrow \sf 20=\:100\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]

[tex]\sf \bold{divide \ both \ side \ by \ 100}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{5} =\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}}[/tex]

[tex]\sf \bold{apply \ exponent \ rules}[/tex]

[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = ln(\:\left(\dfrac{1}{2}\right)^{\dfrac{t}{214}})[/tex]

[tex]\sf \bold{simplify}[/tex]

[tex]\hookrightarrow \sf ln(\dfrac{1}{5}) = \dfrac{t}{214} ln\:\left(\dfrac{1}{2}\right)}[/tex]

[tex]\hookrightarrow \sf \dfrac{ln(\dfrac{1}{5}) }{ln(\dfrac{1}{2})\right)}} = \dfrac{t}{214}[/tex]

[tex]\hookrightarrow \sf \dfrac{214 \ ( \ ln(\dfrac{1}{5}) \ ) }{ln(\dfrac{1}{2})\right)}} = {t}[/tex]

[tex]\hookrightarrow \sf t= 496.9[/tex]

If y:28=5:7, find y​

Answers

Answer:

y = 20

Step-by-step explanation:

[tex]y : 28 = 5 : 7 \\ \\ \frac{y}{28} = \frac{5}{7} \\ \\ y = \frac{5 \times 28}{7} \\ \\ y = 5 \times 4 \\ \\ y = 20[/tex]

triangle ABC is similar to triangle JKL
solve for a

Answers

Answer:

a = j

Step-by-step explanation:

because a and j are written in the same place they are the same

PLS HELP ILL GIVE 16 points

Answers

Answer is a. This is the best equation to show the relationship because the money collected is the equals to the number of students.

3. Which expression is a trinomial ?
a. 4x3
b. 7x + 12
C. 3x3 + 3x2
d. 5x2 + 3x2 - 1

Answers

the answer to the question is B

Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!

Answers

Answer:

Transitive Property

Step-by-step explanation:

Let's define the following word bank answer choices:

Complementary Angles  ⇒ Angles that add up to 90 degree

Vertical angles ⇒  pair of opposite angles formed by intersecting lines

Reflexive Property ⇒ equality states that a number is always equal to itself

Transitive Property ⇒ All real numbers x ,y, and z, if x=y and y=z , then x=z.

Solve:

Base on the given we know that it not complementary angles because it doesn't form 90 degree (right angle).

We Also know that it not vertical angles because it doesn't  shows angles opposite each other where two lines cross.

In addition, the given doesn't shows If a is a number, then. a = a. a=a.

Thus, Transitive Property is the answer.

[RevyBreeze]

Which of the following are equivalent to 5m(m+3) - 2m? Choose all that apply.

Answers

Answer:

-]$1784_- ₱14200

Step-by-step explanation:

dimentional fence

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!

Answers

You subtract the lowest point from the highest point.

Lowest Point = 6 because the lowest y value the graph reaches is 6

Highest point is 12

12 - 6 = 6.

This is the positive difference in feet (because the graph already states on the left column that the values are depth in feet) between the greatest water depth and least water depth in the graph.

Please answer 20 points

Answers

Answer:

16.77ft

Step-by-step explanation:

Given m||n, find the value of x.

PLEASE ANSWER ASAP

WILL GIVE BRAINLIEST

Answers

For this question it has to be x = 17.
In the picture you can tell that the angles are all alternate interior angles.
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