use trigonometry to find the unknown side (round to 1 decimal)​

Use Trigonometry To Find The Unknown Side (round To 1 Decimal)

Answers

Answer 1

Answer:

a = 7.5

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{15}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2a = 15 ( divide both sides by 2 )

a = 7.5


Related Questions

These tables of values represent continuous functions. In which table do the
values represent an exponential function?

Answers

Answer:

A

Step-by-step explanation:

An exponential function can be written as y = a * bˣ . This means that there is a common ratio, b, between each number.

For A, the ratio between the first and second number is 8/2 = 4, the ratio between the second and third is 32/8 = 4, and so on. This seems correct, but we can check the other tables to make sure.

For B, the ratio between the first and second number is 34/14 ≈ 2.4 and the ratio between the second and third number is 54/34 ≈ 1.6 . These are not equal, so B is incorrect

For C, the ratio between the first and second number is 8/2=4 and the ratio between the second and third number is 14/8 = 1.75 . These are not equal, so C is incorrect

For D, the ratio between the first and second number is 5/4 = 1.25 and the ratio between the second and third number is 6/5 = 1.2 . These are not equal, so D is incorrect

Multiply the polynomial by distribution. Show your work and explain the steps you used to solve.
- 8x(x^2 – 8x + 3)

Answers

Answer:

-8x^3 + 64x^2 - 24x

Step-by-step explanation:

To distribute, we must multiple -8x to each term:

-8x(x^2) - 8x(-8x) - 8x(3)

-8x^3 + 64x^2 - 24x

Step-by-step explanation:

[tex] - 8x( {x}^{2} - 8x + 3) \\ = ( - 8x \times {x}^{2}) - ( - 8x \times 8x) + ( - 8x \times 3) \\ = - 8 {x}^{3} + 64 {x}^{2} - 24x[/tex]

distribute -8x to each term in the perenthesis i.e. multiply each term by -8x

Pls help and fast! 17 points!

Answers

Answer:

54 square units

Step-by-step explanation:

144 - 18 - 4(18) = 54 square units

Solve inequality problem (urgent help please)

Answers

Answer:

B

Step-by-step explanation:

|3m-2|=>1

1 <= 3m-2 or 3m-2 <= -1

3 <= 3m or 3m <= 1

1 <= m or m <= (1/3)

what is the total cost

Answers

Answer:

u watch Naruto

Step-by-step explanation:

.....................,....,...

SOME ONE PLEASE ACTUALLY HELP ME

Answers

Answer:

y = 658.3 ft

Step-by-step explanation:

x = 745.5 ft

y = 658.3 ft

tan 28 = 350/y

y = 658.3

Answered by GAUTHMATH

Set up an equation to find the length of the diagonal of the rectangle.

Answers

Answer:

Set length as l

Use the Pythagorean Theorem to find the diagonal:

[tex]5^{2} +l^{2} =(\sqrt{125})^{2}\\ 5^{2} +l^{2} =125[/tex]

Craig wants to prove that if quadrilateral ABCD has diagnols that biscet each other then it is a parallelogram

Answers

Solution :

Consider quadrilateral ABCD is a parallelogram. The parallelogram have diagonals AC and DB.

So in the given quadrilateral ABCD, let the diagonal AC and diagonal DB intersects at a point E.

Thus in the quadrilateral ABCD we see that :

1. AC and DB are the diagonals of quadrilateral ABCD.

2. Angle DCE is congruent to angle BAE and angle CDE is congruent to angle ABE. (they are alternate interior angles)

3. Line DC is congruent to line AB. (opposites sides are congruent in a parallelogram )

4. Angle ABE is congruent to angle CDE. (Angle side angle)

5. Line AE is congruent to line EC. And line DE is congruent to line EB. (CPCTC)

Thus we see that if the diagonals of a [tex]\text{quadrilateral bisects each other}[/tex], then the quadrilateral is a parallelogram.

Answer:

△ABE and△CDE by side-angle-side

In an IQ test, 4 marks are given for every correct answer and 2 marks are deducted for every wrong answer. If Crystal answered 30 questions and scored 84 marks, how many of her answer were correct?​

Answers

It’s 18 because
4x30=120
120-84=36
36/2=18
So the correct answer is 18.

Find the value of 4 tenths x hundreds.
4000
400
40
4

Answers

the value of 4 tenths x hundreds.

4000

Answer:

40

Step-by-step explanation:

4/10 x 100 = 40

I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?

Answers

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

The base of the rectangle is 7 inches, and the height is 6 inches. The area of one triangle is square inches.

Answers

Answer:

21

Step-by-step explanation:

area of triangle = 1/2 * base * height

assuming the triangle is made by cutting the rectangle into half,

1/2 * 7 * 6 = 21

Answer:

the answer is 21

Step-by-step explanation:



Qual o valor da expressão? 155÷2+4−55+1,5−6×5+6?

Answers

Answer:

Step-by-step explanation:

Hello!

(155/2)+4−55+1,5−(6×5)+6=

77,5 +4-55 +1,5 -30 +6= 4

come help me!! rack up those points!! needing lots of help with geometry today :)

Answers

Answer:

312 in^2

Step-by-step explanation:

Yet again, not the best way but let's add up all the sides...

2(24+96+36) = 2(156) = 312 in^2

Hope this helped!

312in squared ________

find the missing length indicated​

Answers

Answer:

192

Step-by-step explanation:

Apply the geometric mean formula to solve for x, which is the altitude of the right triangle.

The formula is:

h = √(mn)

h = x = ?

m = 144

n = 400 - 144 = 256

Substitute

h = √(256*144)

h = √36,864

h = 192

Therefore, x = 192

Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?

Answers

625 I think, 125/3 which is a decimal and then do 15 times that decimal, on my calculator I can copy and paste the decimal (cause it’s long one) and I got 625. The calculator app I use is called calculator + if you want to get it!

help me, thank you!!!

Answers

Answer:

Step-by-step explanation:

i don't understand this language but i think you want to simplify  it.

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

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

Six years ago,the average age of A,B,C and D was 30 years. When E joined them, the average of all five becomes 40 years. What is the age of E?

Answers

Answer:

The age of E is 40

Step-by-step explanation:

When E didn't join them, the average age was 30,that is six years ago. But present making 36.

But when E joined, the average age is now 40.

Answer:

E is 56 years old

Step-by-step explanation:

I assume E joined them now.

(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30

(A + B + C + D + E)/5 = 40

(A + B + C + D - 24)/4 = 30

A + B + C + D - 24 = 120

A + B + C + D = 144

(A + B + C + D + E)/5 = 40

A + B + C + D + E = 200

144 + E = 200

E = 56

Kraig deposited money into a money market account. It has an interest of 12% and is compounded annually. Kraig thought 3% would be the equivalent quarterly interest rate. Is Kraig correct? If he is, explain why. If he is not correct, state what the equivalent quarterly interest rate. Explain.

Answers

Answer:

If the amount is P, with the interest rate of 12%, the interest over the year is:

P*(1.12) - P = 0.12P

In this case the quarterly interest rate is:

0.12P/4 = 0.03P

With the same amount and 3% quarterly rate, the yearly interest would be:

P*(1.03)^4 - P = 0.1255P

The quarterly interest rate in this case is:

0.1255P/4 = 0.031375P

If the quarterly interest rate is r, it should be little less than 3% to yield a 12% yearly rate.

So Kraig is wrong.

Solve for F. Round to the nearest tenth, if necessary.
19
1389
х
Answer: =
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer:

24.3

Step-by-step explanation:

tan(theta) = P/B

tan(38) = 19/x

x=19/tan(38)=24.3

I need help there should be a picture that pops up on the screen if not then it might be a link if it is a like press on it THANK YOU SO MUCH!!!

Answers

Answer:

ans is b hope I helped you

Isobel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. Select the equation in point-slope form for the line that represents the height of the bucket relative to the top of the well.
A. y + 1 = 4x – 1
B. y – 1 = 4x + 1
C. y – 1 = 4(x + 1)
D. y + 1 = 4(x – 1)

Answers

it’s B. y - 1 = 4x + 1

Is my answer correct?

Answers

I'm pretty sure you are :)

Yes your answer is correct because it is C

What is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

Since both of these length are equal, 6x+4=8x-6, 2x=10, x=5

A water butt contains 512.6
liters of water when full. It is
80% full. Daniel is using a
small bucket to empty the
butt. The bucket holds
525ml of water. How many
small buckets can be
completely filled by the water in the butt?

Answers

Answer:

u can solve ur self but let me help you

Step-by-step explanation:

simply:subtract 525ml from 512.6 liters

what is the exponents

Answers

The exponent of a number says how many times to use the number in a multiplication.

For Example, In 8² , the 2 is the number of times 8 has to be multiplied. In this case It has to multiplied by itself 2 times, 8x8 = 64 so 8² = 64.
Another example is 9³ since the number above is 3 we have to multiply 9 three times, 9x9x9 = 729 which means 9³ = 729.

Hope this helps

Demonstrate on the whiteboard how to find the center and radius of a circle using an equation.

Answers

Answer:

Step-by-step explanation:

Equation for a circle of radius r, centered at (h,k):

(x-h)² + (y-k)² = r²

Someone please help me out!!!! Its a picture marking brainliest

Answers

Answer:

75.875m^2

Step-by-step explanation:

12-4=8

8x4=32

12x4=48

1/2(1.5+4)1.5=4.125

32+48-4.125=75.875

How does the graph of g(x) = 1/x-5 +2 compare to the graph of the parent function f(x)= 1/x?

Answers

Answer: Its 5 units to the right and 2 units up.

Solve for x. Enter the solutions from least to greatest. 3x^2-9x-12=0

Lesser x =

Greater x =



I NEED HELP ASAP!!!!!

Answers

Answer:

the answer will be..

x=-1

x=4

(x+1) (x-4)

but im sorry i dunno what's lesser and greater means

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