ABC is a right triangle in which B is a right angle, AB= 1, AC=2 and BC= square root of 3. Cos C x sin A=

Answers

Answer 1

[tex]cosC= sinA=\frac{BC}{AC}= \frac{ \sqrt{3} }{2} \\ \\ cosC*sinA=\left(\frac{ \sqrt{3} }{2}\right)^2= \frac{3}{4}=0.75 \\ [/tex]

Answer 2

Applying the cosine and sine ratios, the value of cos C × sin A = 3/4.

What is the Cosine and Sine Ratios?

Cosine ratio: cos ∅ = adj/hyp

Sine ratio: sin ∅ = opp/hyp.

Find cos C using the cosine ratio:

cos C = √3/2

Find sin A using the sine ratio:

sin A = √3/2

cos C × sin A = √3/2 × √3/2

= 3/4

cos C × sin A = 3/4

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Related Questions

it is a fraction. it is greater than 0.5 and less than 0.9. its denominator is a square number.its numerator number is a prime number. what could be the mystery number be?

Answers

Fraction with numerator as prime number and denominator as a square number between 0.5 and 0.9 is equals to 7/9.

What is fraction?

"Fraction is defined as the part of whole number divided into equal parts."

According to the question,

'x / y' represents the required fraction

'x' represents numerator of the given fraction

'y' represents denominator of the given fraction

Condition given,

0.5 < ( x / y) < 0.9

Denominator is squared number

Numerator is a prime number

(5 / 10) < ( 6 / 10) <( 7 / 10) < (7 / 9)< ( 9 / 10)

Hence, required fraction as per condition is ( 7 / 9).

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how long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2

Answers

Well the position function is:

h(t)=-16t^2+256

It will hit the ground when h(t)=0

-16t^2+256=0 factor out -16

-16(t^2-16)=0 factor difference of squares...

-16(t+4)(t-4)=0, since t>0

t=4 seconds

the diagram show a straight line ABC . Find the value of p

Answers

Finding the change in y/change in x=the slope, we get
(13-11)/(-4-(-2))=2/-2=-1. Therefore, the equation is y=-1*x+b. Plugging it into (-4, 13), we note that 13=4+b and b=9 by subtracting 4 from both sides, making the equation y=-x+9. Plugging it into A, we get that
1 (y , the second value) = -x+9. Subtracting both sides by 9, we get 1-9=-x and -8=-x. Multiplying each side by -1, we get x=8

HHHHHHEEEELLLLLLPPPPP
Line A: 2x + 2y = 8 Line B: x + y = 4 Which statement is true about the solution to the set of equations? It is (8, 4). It is (4, 8). There is no solution. There are infinitely many solutions.

Answers

We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:

i) 2x + 2y = 8

ii) x + y = 4

use equation ii) to write y in terms of x as : y=4-x,

substitute y =4-x in equation i):

2x + 2y = 8
2x + 2(4-x) = 8
2x+8-2x=8
8=8

this is always true, which means the equations have infinitely many common solutions.

Answer: There are infinitely many solutions.

According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?

Answers

x= 0.787693 // ±1, ±1/2, ±1/4

Answer:

Step-by-step explanation:

Solve the equation for 10 points

6x+7=8x−15

Answers

Add 15 to both sides to get 6x+22=8x then subtract 6x from both sides to get 22=2x then divide both sides by 2.

X=11

x=11, make sure to isolate the variables all on one side of the equation

what else would you need yo show that ABC DEF by ASA APEX ?

Answers

ASA stands for angle, side angle, so the next piece of information you would need to know to prove congruency with this method is A. <B is congruent to <E.

If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

the quantity of 3 times a all over b
b over the quantity 3 times a
3 over the quantity a times b
3ab

Answers

Answer:

Option the quantity of [tex]3[/tex] times a all over b

Step-by-step explanation:

we know that

The area of rectangle is equal to

[tex]A=LW[/tex]

where

L is the length side of rectangle

W is the width side of rectangle

In this problem we have

[tex]A=24a^{2}b\ units^{2}[/tex]

[tex]L=8ab^{2}\ units[/tex]

Remember that

[tex]W=\frac{A}{L}[/tex]

substitute

[tex]W=\frac{24a^{2}b}{8ab^{2}}=\frac{3a}{b}\ units[/tex]

What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32

Answers

Answer:

Option (d) is correct.

[tex]\sqrt{10000x^{64}}=100x^{32}[/tex]

Step-by-step explanation:

Given : Expression [tex]\sqrt{10000x^{64}}[/tex]

We have to write a simplified form of the given expression [tex]\sqrt{10000x^{64}}[/tex]

Consider the given expression [tex]\sqrt{10000x^{64}}[/tex]

[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]

[tex]=\sqrt{10000}\sqrt{x^{64}}[/tex]

Factor 10000 as [tex]10000=100^2[/tex]

[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]

[tex]\sqrt{100^2}=100[/tex]

also, [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

We have,

[tex]\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}[/tex]

Thus, [tex]\sqrt{10000x^{64}}=100x^{32}[/tex]

Answer: D. 100x32

Step-by-step explanation:

A caters fee is based on the number of meals she provides. How much is the price per meal if the total fee is $1,088 for 64 meals?

Answers

$1,088 ÷ 64 = $17 per meal

Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child? (5 points)

6 over 15 multiplied by 2 over 14 is equal to 12 over 210

6 over 15 plus 2 over 14 is equal to 114 over 210

6 over 15 multiplied by 2 over 15 is equal to 12 over 225

6 over 15 plus 2 over 15 is equal to 8 over 15

Answers

2+6+7 = 15 total cakes

6 pineapple so probability is 6/15

then there would be 14 cakes

2 strawberry for a probability of 2/14

6/15 x 2/14 = 12/210

the first answer is the right one

Answer:

[tex]\frac{12}{210}[/tex]

Step-by-step explanation:

Strawberry cakes = 2

Pineapple cakes = 6

Chocolate cakes = 7

Total cakes = 15

Now we are given that Vincent selects a cake randomly without looking, and he will give a pineapple cake to the first child

So, probability of getting a pine apple cake in first draw = [tex]\frac{\text{No. of pineapple cakes}}{\text{Total no. of cakes}}[/tex]

= [tex]\frac{6}{15}[/tex]

Now total no. of remaining cakes = 15-1 =14

Now we are given that Vincent selects a cake randomly without looking, and he will give a strawberry cake to the second child

So, So, probability of getting a strawberry cake in second draw= [tex]\frac{2}{14}[/tex]

So, the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child = [tex]\frac{6}{15} \times\frac{2}{14} [/tex]

= [tex]\frac{12}{210}[/tex]

Hence Option A is true.

The probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child is [tex]\frac{12}{210}[/tex]

If trap is an isosceles trapezoid, what is the value of x

Answers

Answer:

Option E ⇒ x = 19

Step-by-step explanation:

See the attached figure.

TRAP is an isosceles trapezoid

The shown angles are supplementary angles

So, the sum of (5x+9) and (4x) is 180

So, 5x+9 + 4x = 180

solve for x

9x + 9 = 180

9x = 180-9 = 171

x = 171/9 = 19

The answer is option E

How many different nine player batting orders can be chosen from a baseball team of 16?

Answers

This problem is basically [tex]_{16}P_9[/tex]

[tex]_nP_r = \frac{n!}{(n - r)!}[/tex]

If I plug in n = 16 and r = 9

[tex]\frac{16!}{(16-9)!} = \frac{16!}{7!} = 4151347200[/tex]

So there are 4151347200 different nine player batting orders that can be chosen from a baseball team of 16 :)

If you triple 4 and subtract 2 each day, how many days until you have zero?* 2 6 8 12

Answers

triple 4 = 4x3 = 12

divide 12 by 2: 12/2 =6

it will take 6 days

An amusement park sells child and adult tickets at a ratio of 8 to 1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?

Answers

c=8a
c=a+147

8a=a+147
7a=147
a=147/7
a=21 Adult Tickets c=8a=8 (21)= 168 Children Tickets Total Tickets = 21+168=189 Tickets is your answer

In which situation is the distance traveled proportional to time?

A car moving in stop-and-go traffic

A person biking on a trail at 12
miles per hour for 20
minutes

A baseball hit to center field

A race car slowing down after crossing the finish line

Answers

It's the second answer, because it is the only answer that involves time.

Answer: a person on a trail at 12 miles per hour for 20 minutes

Step-by-step explanation:

just go it right!!!

FIRST CORRECT ANSWER GETS BRAINLIEST!

Answers

Since half of the diagonal is [tex]10[/tex] the whole diagonal ([tex]MK[/tex]) is 20

By pythagorean theorem, [tex]JK = \sqrt{MK^2 - MJ^2} = \sqrt{20^2 - 12^2} = \sqrt{400 - 144} = \sqrt{256} = 16. [/tex]

After that you just find the perimeter of the rectangle.

[tex]2l + 2w = 2*16 + 2*12 = 32 + 24 = 56[/tex] :)

8x-12y=84 into slope intercept form

Answers

8x-12y=84
in slope intersept form or (y=mx+b) is
y=2/3x-7

explain how complex fractions can be used to solve problems involving ratios

Answers

when you have ratios and some unknowns you can create complex fractions from them.Bring them to the same denominator and solve for X.

Write this number in word form

Number:284028

Answers

two hundred eighty-four thousand and twenty-eight

hope this helps

Two hundred eighty four thousand twenty eight

Hopes this help and please give me a thanks

You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?

Answers

The two pumps working together would pump out water at a rate of 100 gallons per minute. To determine the time it takes to completely pump out the water from the basement, we need to determine the volume of the water in the basement. The dimensions of the basement is 40 feet by 50 feet (given elsewhere) while the depth of the water is said to be 16 inches. From these dimensions, we can calculate for the volume as follows:

V = length x width x depth
length = 50 feet
width = 40 feet
depth = 16 inches ( 1 foot / 12 inches ) = 1.33 feet

V = 50 x 40 x 1.33 = 2666.67 ft^3 = 19948.05 gal

Time = V / rate
Time = 19948.05 gal / 100 gal / min
Time = 199.48 min

In a rain forest, it typically rains 290 days out of the year. If it rains today, what is the probability that it will rain tomorrow?

a. 72%
b. 81%
c. 79%
d. 61%

Answers

Hey there!

Since we weren't given any probabilities based on the chance of rain after it rained the day before, we can assume the probability will stay the same. We can disregard "If it rains today...".

If it rains 290 days out of the year (365 days), there will be a 290/365 chance of rain of a particular day. You can divide 290 by 365 to get a 79% chance.

Hope this helped you out! :-)

91 more than the square of a number in verbal form

Answers

91 more than the square of a number can be expressed algebraically as:
let the number be x;
square of x is x^2
thus our answer is x^2+91

explain the place value relationship when the same two digits are next to each other in a multidigit number

Answers

For example, the value of digit 3 in 5833

5833 = 5000 + 800 + 30 + 3

The digits 3 in 5833 has value of 30 and 3
One value is ten times the other

Another example, the value of digit 6 in 586645

586645 = 500000 + 80000 + 6000 + 600 + 40 + 5

The digits 6 in 586645 is 6000 and 600
One digit is 10 times the other

We can make a conclusion that the place value relationship when the same two digits are next to each other is one digit will always be 10 times the other digit.

solve the system of equations using elimination. 3p+9q=6 5p-5q=30

Answers

45p-45q=270
15p+45q=30

Solving this will get 60p=300 so p=5
Plug it in and we get 15+9q=6 so q=-1

The answer is p=5 q=-1

3p+9q=6
5p-5q=30

3(5)+9(-1)=6
15-9=6✔

5(5)-5(-1)=30
25+5=30✔

p=5
q=-1

6x + 2y = 12 solve for y

Answers

Subtract 6x from both sides to get:

2y=-6x+12

Then divide both sides by 2 to get:

y=-3x+6

Mr. Wilson has 3000 in his bacon count Mrs. Nelson has 10 times as much money in her bank account as Mr. Wilson has in his big and count how much money does Mrs. Nelson have in her bank account

Answers

Since Ms.Nelson has 10 times as much, you multiply 3,000 and 10 to get 30,000.

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.

193.8 cubic inches (in3)
2325.6 cubic inches (in3)
1.35 cubic inches (in3)
16.15 cubic inches (in3)

Answers

We have to convert feet to inches:
1 foot = 12 inches
1.7 feet = 1.7 * 12 = 20.4 in
The formula for the volume is:
V = l * w * h
and: l = 19 in, w = 20.4 in, h = 6 in.
V = 19 in * 20.4 in * 6 in = 2,325.6 in³
Answer: B ) 2,325.6 in³

What is 25 degrees lower than 57

Answers

Your answer would be 32.

57
-25
-----
32

7 - 5= 2
5- 2 = 3

Hoped I helped!

I think it should be 32

How do you turn 1/8 into a fraction

Answers

that is a fraction, as it has a '1' as the numerator and an '8' as the denominator.

hope it helps, xx

1/8 is already a fraction. The 1 is the numerator and the 8 is the denominator.

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