Find the length of side AB.
Give your answer to 3 significant figures.
C
410
13.5 cm
A
B

ANSWER:
sin41 × 13.5 = 8.85679
rounded to 3 sig fig
= 8.57​

Answers

Answer 1

Answer:

8.86 cm

Step-by-step explanation:

The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:

[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]

From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90°  (right angle). Therefore using sine rule:

[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]

x = AB = 8.86 cm

Find The Length Of Side AB.Give Your Answer To 3 Significant Figures.C41013.5 CmABANSWER: Sin41 13.5

Related Questions

How many miles can a car travel on 15 gallons of gas if it travels 28 miles on 1 gallon of gas?
A. 43 miles
B. 270 miles
C. 405 miles
D. 420 miles

Answers

The correct answer is 420 miles which is D.

8 5/6 + 2 3/4 +__=14 this is fractions so the answer should be a fraction please help

Answers

Answer:

2 5/12

Step-by-step explanation:

8 5/6 + 2 3/4 = 8 10/12 + 2 9/12  =  10 19/12  =  10 + 1 7/12  =  11 7/12

13 12/12 - 11 7/12 = 2 5/12

evaluate 5^-1/ -9^0 to its simplest form

Answers

Answer:

-1/5

is it -(9)^0 or (-9)^0 if it -(9)^0 then

+  5^-1/ -9^0 =  5^-1/-1

                     =-5^-1

                     =-1/5

-1/5
5^-1=1/5 and -9^0=-1 (as anything with the power 0 equals to 1)
And then reciprocal it
So, 1/5 times -1 = -1/5

what is a better deal 12 cans for $0.88 each or 16 cans for $ 0.85 each

Answers

I’ll pay 10.56$ for 12 or 13.60$ for 16... 12 cans is the best option in my opinion

16 cans for .85 cents is a better deal because it is less cents per can than there is in the other deal. May I please be the brainiest? I have never been that and I would love it

Simplify: (-3y5)3
-9y8
-9y15
-27y8
-27y15​

Answers

Answer:

(-3y5)3

-9y15

Step-by-step explanation:

prove me wrong

A florist is making bouquets. Draw lines to match each
description with the number of bouquets she can make.
52 bouquets
630 roses with 10 roses in each bouquet
53 bouquets
640 roses with 12 roses in each bouquet
54 bouquets
975 roses with 18 roses in each bouquet
63 bouquets
1,250 roses with 24 roses in each bouquet

Answers

Answer:

1) 630 roses with 10 roses in each bouquet  = 63 bouquets

2) 640 roses with 12 roses in each bouquet  = 53 bouquets

3) 975 roses with 18 roses in each bouquet  =  54 bouquets

4) 1,250 roses with 24 roses in each bouquet = 52 bouquets

Step-by-step explanation:

We need to match each  description with the number of bouquets that can be made.

Solving this, we need to make bouquet of roses and each bouquet contains the given number of roses. We need to divide the total roses available by number of roses in each bouquet to find number of bouquets.

The formula used will be: [tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}[/tex]

1) 630 roses with 10 roses in each bouquet

Total roses = 630

Number of roses in each bouquet = 10

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{630}{10}\\Number\:of\:bouquets=63[/tex]

So, 63 bouquets can be made.

2) 640roses with 12 roses in each bouquet

Total roses = 640

Number of roses in each bouquet = 12

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{640}{12}\\Number\:of\:bouquets=53.3 \approx53[/tex]

So, 53 bouquets can be made.

3) 975 roses with 18 roses in each bouquet

Total roses = 975

Number of roses in each bouquet = 18

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{975}{18}\\Number\:of\:bouquets=54.1\approx54[/tex]

So, 54 bouquets can be made.

4) 1,250 roses with 24 roses in each bouquet

Total roses = 1250

Number of roses in each bouquet = 24

So, number of bouquets will be:

[tex]Number\:of\:bouquets=\frac{Total\;roses}{Number\:of\:roses\:in\:each\:bouquet}\\Number\:of\:bouquets=\frac{1250}{24}\\Number\:of\:bouquets=52[/tex]

So, 52 bouquets can be made.

Which value is not equivalent 0.37 0.370 37/100

Answers

0.370 is not equivalent
0.370 is equivalent to 370/1000 which is different than 37/100

Decide if the following equation is growth or decay?
y = 475 (0.256)

Decay
Growth

Answers

growth . when the first number is greater than 1 its growth

Jack bought a bag of carrots 1 1/3 lbs of cucumbers, 1 1/6 lbs of celery, the total weight of the vegetables was 4 1/2lbs how much did the bag of carrots weigh

Answers

Answer: The answer is 2

Step-by-step explanation:

Of the songs and Joseph's collection 11/23 our county songs of these country songs three force or by mail artist were fraction of Llosa songs our country songs by mail artist

Answers

Answer: 33/92

Step-by-step explanation:

Here's the complete question:

Of the songs in joseph collection, 11/23 are country songs. of these country songs, 3/4 are by male artists. what fraction of joseph's songs are country songs by male artist

The fraction of the songs that are country songs by male artist would be calculated as the multiplication of 3/4 by 11/23. This would be:

= 3/4 × 11/23

= 33/92

HELPPPP I NEEED THIS NOWWW
The value of 23 + 42 = ___.

Answers

Answer:

65

Step-by-step explanation:

Answer:

2^3 + 4^2 = 24

Step-by-step explanation:

2 times 2 times 2 is 8

4 times 4 is 16

So, 16 + 8 = 24

I hope I helped! Pls mark me brainliest if you can!

Can y’all plz help me plz

Answers

Answer:

x= 68

Step-by-step explanation:

do u need the work 4 it?

Answer:

32

Step-by-step explanation:

(4) B is the midpoint of AC, D is the midpoint of CE, find BD.

Answers

Answer:

A :10.5 is the answer

Step-by-step explanation:

Jane mixes 3 gallons of red paint (r) for every 6 gallons of blue paint (b). Write one equations that show the relationship between red paint and blue paint. Use lower case r and b (NO SPACES)​

Answers

Answer:

umm 9 gallons i think

Step-by-step explanation:

help please need this answer like now

Answers

Answer:

1/y^10

Step-by-step explanation

Work out the value of x

Answers

Answer:

x=35

Step-by-step explanation:

A pentagon's sum of interior angles is 540 degrees.

Now, we can set up an equation.

(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540

Combine similar terms

16x - 20 = 540

16x = 560

x = 35

The answer would be 35.

Can you please help
This is due today
I need the equation and answer

Equation/the way to do it :
Answer:

Answers

I would think that x is 6.2 because of the fact 3 (non scale) and 4(to scale) is a difference of 1 so 7.2-1= 6.2 hope this helps !

In the diagram, the measure of angle 6 is 98°.

What is the measure of angle 7?

Answers

Answer:

angle7 = 180°-98° = 82° (Angles on a straight line)

Element X is a radioactive isotope such that every 51 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7500 grams, how long would it be until the mass of the sample reached 6900 grams, to the nearest tenth of a year?

Answers

Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]

where,

k = rate constant  

t = age of sample

a = let initial amount of the reactant  

a - x = amount left after decay process  

a) for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

[tex]51=\frac{0.69}{k}[/tex]

[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]

b) for  7500 g to reach to 6900 g

[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]

[tex]t=6years[/tex]

It will take 6 years for 7500 grams of X to reach 6900 grams.

PLEASE HELP ASAP!! Will give BRAINLIEST if correct answer is given.
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?

Answers

Answer:

The mode and Median would be lower than the mean.

Step-by-step explanation:

The distribution data is positively skewed which means that most of the data would be towards the lower side. In this situation the mean is higher than the mode and median. Dr. Hammer has distribution data which is positively skewed so the mode and median will be lower than the mean.

Can someone help me please?

Answers

Answer:

[tex]x=\sqrt{12}[/tex]

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] in a right triangle where c is the longest side. To solve for x, we plug in the side lengths given as a and c.

[tex]a^2+b^2=c^2\\2^2+x^2=4^2[/tex]

Move 2² to the other side to isolate b²

[tex]x^2=4^2-2^2[/tex]

Square root both sides to isolate b

[tex]x=\sqrt{4^2-2^2}\\x=\sqrt{16-4} \\x=\sqrt{12}[/tex]

I hope this helps!

a rectangular prism has a volume of 4x^3 - 40x^2 + 36x

Answers

Oop yu don’t kno da answerrrrr yu a lil slowwwwwwww 555 wit 10 ?

The largest of the resort cities on Mexico's Pacific coast is
Veracruz
Tampico
Cancun
Acapulco

Answers

Answer:

Acapulco

Step-by-step explanation:

47 POINTS AND BRAINLIEST PLZ HELP ME
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.

How many lbs does the crate weigh?

How much does each chair weigh?

Answers

Answer:

each chair weighs 6 lbs and the crate weighs 18 lbs.

Step-by-step explanation:

The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.

let, each chair weigh = x

and, the crate weigh = y

so, we get,

the equations as:

8x + y = 66 ....(1)

11x + y = 84 ....(2)

now, solving this two equations,

we get,

subtracting (2) - (1),

3x = 18

or, x = 6

so, we have,

y = 18

Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.

To learn more on equation click:

brainly.com/question/24169758

#SPJ3

The bakers fits 26 rolls on to a pan that measures 1 5/8ft2. How many square feet does the baker use for each roll

Answers

Answer: 1/16 ft²

Step-by-step explanation:

The baker put 26 rolls into a pan that has an area of 1⁵/₈ ft².

Each roll is therefore taking up a space of:

= Area/ Number of rolls

Convert the fraction to an improper fraction:

1 ⁵/₈ = 13/8

= 13/8 ÷ 26

= 13/8 * 1/26

= 13/208

= 1/16 ft²

m = 3 (4,7)
Wrote the equation of a line using the point slope formula

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

Substitute the values for the variables.

y - 7 = 3(x - 4)

y - 7 = 3x - 12

y = 3x - 5

Answer:

good luck

Step-by-step explanation: you gonna need it UvU

Factor the expression completely.

Answers

Answer:

Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

Step-by-step explanation:

We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely

We need to find common terms in the expression.

Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:

[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]

So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

So, we get:

[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]

Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]

Angle EFG has a measure of 133º. Triangle EFG is rotated 180° counterclockwise about point F to create triangle E'F'G'.

what is the measure of angle E’F’G

Answers

Answer:[tex]313^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle {EFG}=133^{\circ }[/tex]

When rotated 180 degree clockwise gives E'F'G' which measures

[tex]\angle E'F'G'=180^{\circ}+133^{\circ}=313^{\circ}[/tex]

This can be explained by the below-given digram  

Rotation is a rigid transformation.

The measure of angle E'F'G' is 133 degrees

Because rotation is a rigid transformation, it does not change the side lengths and the angle measures.

This means that the measure of angle EFG will remain unchanged after rotation.

i.e.

[tex]\mathbf{\angle E'F'G' = \angle EFG}[/tex]

Hence, the measure of angle E'F'G' is 133 degrees

Read more about rotation at:

https://brainly.com/question/1571997

-7u + 10 + -1 + -3u

PLEASE HELP ME​

Answers

i believe the answer would be -10u + 9

Write the fraction 9/12 as a percent

Answers

9/12 = 75%

if any questions just ask.

Answer:

75%

Step-by-step explanation:

9/12 in percent = 9 ÷ 2 × 100%=0.75 × 100= 75%.

l hope it helps you ❤❤
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