96 cm
с
B
ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.
cm
AB =

Answers

Answer 1

Answer:

The length of AB is 48 centimeters.

Step-by-step explanation:

According to the given information, AC is the hypotenuse of the right triangle, since it is opposed to a right angle (angle B). BC is the leg adjacent to angle B, whereas AB is the leg opposed to angle C. Then, we can find the length of AB by the following trigonometric identity:

[tex]\sin C = \frac{AB}{AC}[/tex] (1)

If we know that [tex]AC = 96\,cm[/tex] and [tex]C = 30^{\circ}[/tex], then the length of [tex]AB[/tex] is:

[tex]AB = AC\cdot \sin C[/tex]

[tex]AB = (96\,cm) \cdot \sin 30^{\circ}[/tex]

[tex]AB = 48\,cm[/tex]

The length of AB is 48 centimeters.

96 CmBABC Is A Right Angled Triangle. If B = 90, AC = 96 Cm, C = 30.cmAB =

Related Questions

Using scientific notation, what is the solution to (5.4 * 105) - (1.2 * 103)?


5.412 * 105


5.388 * 102


5.388 * 103


5.388 * 105

Answers

Answer:

[tex]5.4*10^{5}-1.2*10^{3}=5.388*10^{5}[/tex]

Step-by-step explanation:

We can rewrite [tex]1.2*10^{3}[/tex] as [tex]0.012*10^{5}[/tex].

Now, let's subtract each term:

[tex]5.4*10^{5}-0.012*10^{5}[/tex]

we can take a common factor.

[tex](5.4-0.012)*10^{5}=5.388*10^{5}[/tex]

Therefore the answer is  [tex]5.388*10^{5}[/tex].

I hope it helps you!

Apples sell 4 for 2.40 how much do 6 apples cost

Answers

Answer:

3.6

Step-by-step explanation:

Answer:

$3.60

Step-by-step explanation:

2.40 / 4 = .60 per each apple, simple mental math.

60 * 6 = 360

Jim is older then Kelsey.The sun of their ages is 88 and the difference of their ages is 30. Write a system of equations to represent this situation.how old is Jim? How old is Kelsey?

Answers

Answer: System of equations •y+x=88 •y-x=30

Step-by-step explanation: Let x represent Jim and y represent Kelsey.

1. The problem says the sum of their ages is 88 in order to get 88 you would have to add x (Jim) and y (Kelsey) together. By doing this you would get y+x=88

2. The problem says that the difference of their ages is 30. In order to get 30 you would subtract x (Jim) from y (Kelsey) By doing this you would get y-x=30

9x(-1)-18 divided by (4+5)

Answers

Answer:

Step-by-step explanation:

9x times -1 =-9x

-9x-18 divide

(4+5=)9

divide 18 by the denominator 9 and get

-9x-2

/1

since anything pretty much divided by 1 remains the same this is simplified to

-9x-2 and since you dont know x's variable this is its simplifed form

Answer:

-9x-2

Step-by-step explanation:

[tex]9x(-1)-18/(4+5)[/tex]

Multiply 9x and -1

[tex]-9x-18/(4+5)[/tex]

Add 4 and 5

[tex]-9x-18/9[/tex]

Divide 18 and 9

[tex]-9x-2[/tex]

I hope this helps!

Give a polynomial of degree 3 that has zeros of 18, 10i, and -10i and has a value of -3434 when x = 1. Write the polynomial in standard form​

Answers

Answer:

nice answer I think so so keep doing what you are doing

Which expression can be used to calculate the rate per second at which the machine launches the balls?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{16}{4}[/tex]

Darnell has $52.50 to spend on clothes. He buys a coat for $31.75 and spends the rest on shirts that cost $8.10 each. Which inequality represents the situation, where s is the number of shirts that Darnell can buy?

Answers

Answer: 31.75 + 8.10s ≤ 52.50

Step-by-step explanation:""""Brainlest anwser""""""

Answer:

Answer: 31.75 + 8.10s ≤ 52.50

Step-by-step explanation:

A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and a(r)=лr^2, what composition of function describes the area of the oil ring in terms of time?

Answers

Answer:

[tex]a(t) =n(0.25t^2)[/tex]

Step-by-step explanation:

Given

[tex]r(t) = 0.5t[/tex]

[tex]a(r) = nr^2[/tex]

Required

Determine the area in terms of time

From the question, we have:

[tex]r(t) = 0.5t[/tex] -> radius per time

and

[tex]a(r) = nr^2[/tex] --> area from radius

The interpretation of the question is to find the composite function: a(t)

If [tex]a(r) = nr^2[/tex], and [tex]r(t) = 0.5t[/tex], the

Substitute 0.5t for r

[tex]a(t) =n(0.5t)^2[/tex]

[tex]a(t) =n*0.25t^2[/tex]

[tex]a(t) =n(0.25t^2)[/tex]

Use the following half-angle identity to find the exact value of tan165.
Tan(a/2)= plus or minus the square root of (1-cos a/ 1+cos a)
A. 2- sqrt 3
B. 2+ sqrt 3
C. - sqrt (7-4 sqrt 3)
D. Sqrt (7-4 sqrt 3)

Answers

Answer:

d on edge

Step-by-step explanation:

need help asap pic 48 POINTS

Answers

Answer:

p = -9 ; open circle pointing left

Step-by-step explanation:

-7p + 3 < - 60

*subtract 3 from both sides*

-7p < -63

*divide both sides by -7*

p < -9

Find the equation of the line specified. The line passes through the points (7, -7) and (6, -5)

a. y = -2x + 7
b. y = 2x -21
c. y = -2x - 7
d. y = 2x - 7​

Answers

Answer:

a. y = -2x + 7

Step-by-step explanation:

First, find the slope by plugging the points into the slope formula, [tex]\frac{-7+5}{7-6}[/tex], which equals -2. Then use the slope and the point (7,-7) to make an equation in slope-point form. y+7=-2(x-7), finally solve for y to get y=-2x+7.

Answer:

A

Step-by-step explanation:

Do the ratios 5:10 and 1:2 form a proportion? yes no ​

Answers

Answer:

Yes

Step-by-step explanation:

They both have a ratio of 1:2 and start at the origin (0,0)

Answer:

yes

Step-by-step explanation:

1*5 = 5

2*5 = 10

hope this helps, pls mark brainliest :D

help me quick!!!..!..!

Answers

Answer:more info needed

Step-by-step explanation:

see the block between path 1 and 2? figure out how big that square is, and subtract how much area triangle ABC takes up. that is your answer

538.6 − ____ is about 500. Write a decimal that when rounded to the nearest whole number makes the equation true.

Answers

The answer is 38.6. So rounded, it would be 38. I believe

The pair of triangles that are congruent by the ASA criterion is
The pair of triangles that are congruent by the SAS criterion is

Answers

___________________________________________________________

Answer:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

___________________________________________________________

___________________________________________________________

Step-by-step explanation:

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

___________________________________________________________

The solution is:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

What is triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.

so, we have,

Two triangles are congruent by SAS if  two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles  Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.

Hence, The solution is:

The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.

The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.

To learn more on triangle click:

brainly.com/question/29126067

#SPJ7

Since 1 inch=2.54 centimeters what does 1 centimeter equal in inches?

Answers

Answer:0.393701 Inches

Step-by-step explanation:

Answer:

0.39

Step-by-step explanation:

0.39 is the answer. The answer above gives you the exact numbers.

The number b is rational. Which statement about
is true?
b
is rational
4
b
is irrational
4
b
can be rational or irrational, depending on the
4.
value of b.

Answers

Answer:

b

Step-by-step explanation:

hi

9. If 15 men working 10 days earn $500. How much will 12 men earn working 14,
days? [Ans. $560]
7​

Answers

Answer:

Firstly need to understand the questions.

If 15 men working 10 days, They earn 500.

If 12 men working 14 days, how much they will earn?

Step-by-step explanation:

560

Solution:

15 men working for 10 days =500

1 man working for 1 day = 500/(10*15) =10/3

Now 12 men working for 14 days = 12*14*10/3 =560.

I am pretty sure that answer is right.

Thank you :)

What is the distance between the points (13, 5) and (13, -13)?

Answers

Answer:

18 studs

Step-by-step explanation:

If you label them correctly on a graph you will see this is the correct answer.

2 cm on a map are equal to 3km in real life. if two points are 8 cm apart on the map how fat apart are they in real life

Answers

Answer:

12 km

Step-by-step explanation:

Is this really college level math?

Answer:

12 Km

Step-by-step explanation:

Ratio

=2:300000

=2/300000

=1:150000

=8*150000

=1200000cm

=12Km

Mark as Brainliest

In India It is 3rd class maths

In a representative sample of 1000 adult Americans, only 400 could name at least one justice who is currently serving on the U.S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.)
z=
p=

Answers

Answer:

1) z = -6.32

2) p-value = 0.001 × 10^(-2)

3) we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

Step-by-step explanation:

We are told that In a representative sample of 1000 adult Americans, only 400 could name at least one justice.

Thus:

Sample proportion; p^ = 400/1000 = 0.4

Sample size: n = 1000

We want to find if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice.

Thus, the hypothesis is defined as;

Null hypothesis:H0: p ≥ 0.5

Alternative hypothesis: Ha < 0.5

Formula for the test statistic is;

z = (p^ - p)/√(p(1 - p)/n)

Plugging in the relevant values;

z = (0.4 - 0.5)/√(0.5(1 - 0.5)/1000)

z = -6.32

From online p-value from z-score calculator attached, using z = -6.32; significance level of 0.01; one tailed hypothesis;

We have:

p-value = 0.00001 = 0.001 × 10^(-2)

The p-value is less than the significance level and so we will reject the null hypothesis and conclude that there is enough evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court

pplease please please please please please please please please please please help me

Answers

Answer:

I'm I'm confused because

Step-by-step explanation:

which question are you talking about?

The quantity r varies jointly with t and u and inversely with s when t= -12, u= -7, and s= -4, r= -126. Find r when t= -8, u= 8, and s= -6.

Write your answer in exact form.

Answers

Answer:

r = 64

Step-by-step explanation:

r = (k*t*u)/s

Where,

k = constant of proportionality

t = -12,

u= -7,

s= -4,

r= -126.

r = (k*t*u)/s

-126 = (k*-12*-7)/-4

-126 * -4 = 84k

504 = 84k

k = 504/84

k = 6

Find r when t= -8, u= 8, and s= -6.

r = (k*t*u)/s

= (6*-8*8) / -6

= -384 / -6

= 64

r = 64

What is the probability of the following, (for each answer, enter an exact number)

(A) an event A that is certain to occur

Answers

Answer:

Probability of certain event P(E) = 1

Step-by-step explanation:

An event or program A that is likely to occur has a probability of 1, which indicates that there will always be an event or a program.

Probability of certain event P(E) = 1

Which of the following could be the areas of the three squares shown

Answers

Answer:

Can't answer if you don't have the answers

Answer: It’s A

Step-by-step explanation:

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

G = 7

Step-by-step explanation:

Divide both sides by 5.1 to get G by itself.

Divide 5.1 by 5.1 and get 1

Divide 35.7 by 5.1 to get 7

G = 7

Brainliest pls

Answer:

7

Step-by-step explanation:

5.1g = 35.7

g is being multiplied by 5.1. The opposite operation to multiplication is division. To get rid of the 5.1 multiplying g, we need to divide 5.1g by 5.1 since 5.1/5.1 = 1. The rule of equations is that you must do the same operation to both sides of the equation. Since we need to divide the left side by 5.1, we divide both sides by 5.1.

5.1g/5.1 = 35.7/5.1

g = 7

Answer: 7

The scale on a map is 1in=500miles. How many inches apart are cities that have a distance of 3000 miles between them

Answers

Answer:

Im sorry but i will answer when i get back from school.

Step-by-step explanation:

What is the temperature in degrees Fahrenheit of a freezer kept at −25°C?

Answers

The answer is -13 degrees Fahrenheit

Ingredients 12 slices of bacon 34 of a cup of popcorn kernels stick of butter 3 tablespoons pure maple syrup​

Answers

Answer:

Is this a question? A recipe? Or a challenge?

Step-by-step explanation:

You have $140 in a savings account and save $12 per week. Your friend has $92 in a savings account and
saves $18 per week. How many weeks will it take for you and your friend to have the same balance?

Answers

Answer:

it would take 5 weeks for you and your friend to have the same balance

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