What is the length of side s of the square shown below?
45
90°
A. 2-2
B. 2
C. 42
O D. v2
E. 1
O F. 4

What Is The Length Of Side S Of The Square Shown Below?4590A. 2-2B. 2C. 42O D. V2E. 1O F. 4

Answers

Answer 1

Answer:

D. √2

Step-by-step explanation:

Solve for x by applying trigonometric ratio.

Reference angle = 45°

Hypotenuse = 2

Adjacent side = s

Thus:

Cos (45) = adj/hyp

Cos (45) = s/2

2×Cos(45) = s

2 × √2/2 = s (cos (45) = √2/2)

√2 = s

s = √2


Related Questions

Simplify p^-8/7^-2q^-9

Answers

Answer:

[tex]\frac{7^2}{p^8 \cdot q^9}[/tex]

Step-by-step explanation:

[tex]\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}[/tex] by the definition of negative exponents: [tex]a^{-b} = \frac{1}{a^b}[/tex] for all [tex]a,b[/tex] so long as [tex]a\ne 0[/tex].

The value of the exponential equation is A = 7²q⁹ / p⁸

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = p⁻⁸ / 7⁻² ( q ) ⁻⁹   be equation (1)

On simplifying the equation , we get

A = 7² ( q ) ⁹ / p⁸

Therefore , the value of A is 7²q⁹ / p⁸

Hence , the exponential equation is A = 7²q⁹ / p⁸

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After dinner, Mirna had a second serving of her chocolate bar, eating 3
more pieces. Which equation shows how much she has left of the
whole candy bar after this second serving ?

A.) 5/8 - 3/8 = 2/8

B.) 8/8 - 3/8 = 5/8

C.) 8/8 - 5/8 = 3/8

D.) 3/8 - 2/8 = 1/8

Answers

The answer is c because 8 - 5 is 3.

1/9 ÷5/4 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

0.8888888888

Step-by-step explanation:

that decimal just convert it to a fractoin

Reflect the figure across the x-axis then across the y-axis.

Answers

Answer:

A' is (-1,-1) B' becomes (-1,-4) C' becomes (-3,-1)

Step-by-step explanation:

To take a shortcut, reflecting a figure across both axes is the same as rotating a figure 180 degrees about the orgin using formula x,y goes to -x,-y but to explain it. Use formula (x,y) goes to (x,-y) to reflect it across x-axis then use formula (x,y) goes to (-x,y) to reflect it across y-axis. A' becomes -1,-1. B' becomes -1,-4 . C' becomes (-3,-1)

Help me please
Determine the ratio for COS C in the picture below

Answers

Answer:

Step-by-step explanation:

Cos=opposite/hypotenuse

Cos C=32/40   or 4:5

Cos C=0.8

solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2​

Answers

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

A screening test for a newly discovered disease is being evaluated for its performance as a screening test. In order to determine the effectiveness of the new test, it was administered to 270 workers. A total of 42 individuals who had been diagnosed with the disease tested positive for it. Results showed a negative test for an additional 25 people with the disease. A total of 51 people without the disease tested positive. What is the sensitivity, specificity, positive predictive value, negative predictive value, and accuracy of the test

Answers

Answer:

- Sensitivity = 62.7 %

- specificity = 74.9 %

- positive predictive value = 45.2 %

- negative predictive value = 85.9 %

- Accuracy of the test = 71.9 %

Step-by-step explanation:

Given the data in th question;

                                 CONDITION POSITIVE    CONDITION NEGATIVE   TOTAL

TEST POSITIVE                   42                                       51                            93

TEST NEGATIVE                 25                                      152                          177

TOTAL                                  67                                     203                         270

so; A=42, B=51, C=25 and D=152

Sensitivity = [A / ( A + C) ]×100= [42 /( 42 + 25)]×100 = [42 / 67] 100=

Sensitivity = 62.7 %

specificity = [D / ( D + B) ]×100= [152 /( 152 + 51)]×100 = [152 / 203] 100=

specificity = 74.9 %

positive predictive value = [A / ( A + B) ]×100 = [42 /( 42 + 51)]×100 =[42/93] 100

positive predictive value = 45.2 %

negative predictive value =  [D / ( D + C) ]×100 = [152 /( 152 + 25)]×100 =[152/177] 100

negative predictive value = 85.9 %

Accuracy of the test = [A + D / ( A+B+C+D)] =  [42 + 152 / ( 42+51+25+152)]

= [ 194 / 270 ]

Accuracy of the test = 71.9 %

Select five numbers that have 7, 13, and 3 as prime factors.
А
1,092
B
897
с
2,093
D
819
483
F
1,365
G
273
H
546

Answers

Answer:

ADFGH

Step-by-step explanation:

Good luck on your test!

The numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

What is a prime factor?

A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth. Now, we may also apply the so-called prime factorization, which actually involves using factor trees, for numbers.

The numbers having the prime factors 7, 13 and 3 are 1,092,819,1,365,273, and 546. Because all the numbers are completely divisible by the numbers 7, 13, and 3.

Therefore, the numbers having the prime factors 7, 13, and 3 are 1,092,819,1,365,273, and 546.

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find the roots of x^4-6x^2+8

Answers

In my Knowledge

x^4-6x^2+8=0

Mr. V has 3 3/4 lbs of chocolate chips and he puts 3/4 lb in each batch. How many batches can
he make?

Answers

Answer:

5 batches

Step-by-step explanation:

Total chocolate chips = 3 3/4 = 15/4

15/4 ÷ 3/4

15/4 × 4/3

= 5 batches

x = 6y – 14
-X + 9y = 17

Answers

after substitution :

-6y + 14+ 9y = 17

= 14 + 3y = 17

by subtracting 14 :

3y = 3

by dividing over 3 :

y = 1

after substitution:

x = 6 * 1 - 14 = 6 - 14 = -8

x = -8

Use mental math, estimation, and the division algorithm to evaluate the expressions.
What is the answer ?

118.4 divided by 6.4 ?

Answers

Answer:

18.5

Step-by-step explanation:

Answer to question: 18.4

How much should you invest at 5% annual interest rate to have the annual interest of $150?

Answers

Answer:

it is 7.5

Step-by-step explanation:

Answer:

It is 7.5

Step-by-step explanation:

335.71 divided by 1000

Answers

0.33571

Anyways thanks for points

Help? I’ll give brainliest

Answers

9514 1404 393

Answer:

  10,466.7 in^3

Step-by-step explanation:

The volume of a cone is given by ...

  V = (1/3)πr^2·h

where r is the radius and h is the height. Using your numbers, we have ...

  V = (1/3)(3.14)(20 in)^2·(25 in) = 10,466.7 in^3

_____

A more accurate value of π will give a different result.

Which expression represents 3 times the sum of 7 and m ?

Answers

Answer:

3 (7+m)

Step-by-step explanation:

The correct expression is,

⇒ 3 (7 + m)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''3 times the sum of 7 and m''

Now, We can formulate;

⇒ 3 × (7 + m)

⇒ 3 (7 + m)

Thus, The correct expression is,

⇒ 3 (7 + m)

Learn more about the mathematical expression visit:

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? points
Simplify completely :
5x - 20
9x - 36​

Answers

Answer:

5/9

Step-by-step explanation:

What is the solution of the equation 13 + b = 37?
b=

Answers

Answer:

13 + 24 = 37 the answer is 24

Step-by-step explanation:

Answer: 24

Step-by-step explanation: 37-13= 24

Purple paint is made by mixing red paint and blue paint in the ratio 5:2
Yan has 30 litres of red paint and 9 litres of blue paint.
What is the maximum amount of purple paint he can make?​

Answers

the maximum amount he can make is 4 liters because 2x4 is 8 and that’s the most it can go without going past 9. hope this helped!

. You got 46 out of 65 questions right on your exam. What's your grade?

Answers

Answer:

about like 8 /10

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

what is the value of 58 - 2 x 3 + 1

Answers

Answer:

53

Step-by-step explanation:

What is the value of x in the equation 3×=1​

Answers

Answer:

x=1/3

Step-by-step explanation:

Paul has a 40 ft. by 30 ft. pole barn on his farm that he wants to move. The southeast corner of the pole barn is currently located 50 ft. west and 25 ft. north of the stock tank where the cows get their water. Paul wants to move the pole barn so the southeast corner of the barn is located 80 feet east and 80 feet south of the stock tank
1. 1. Complete the transformation statement for moving Paul’s pole barn, (x,y) (x+ fill in the blank, y + fill in the blank)
2. Draw the new location of the pole barn on the graph below. Note that the stock tank is located at the origin
3. How far is it from the old location to the new location? (Hint: use the distance formula

Answers

Answer:

Step-by-step explanation:

(x,y) ↦ (x+130, y-105)

original position of SE corner: (-50,25)

new position of SE corner: (80,-80)

distance = [tex]\sqrt{(80-(-50))^{2}+(-80-25)^{2} }[/tex]≅167.1 ft

expand and simplify (x-3) (x+5)

Answers

Answer:

x^2 + 2x - 15

Step-by-step explanation:

(x-3)(x+5)

x^2 + 5x - 3x - 15

x^2 + 2x - 15

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{(x - 3) (x + 5)}}\\\\\large\text{DISTRIBUTE}\\\\\large\boxed{\mathsf{x(x) + 5(x) - 3(x) - 3(5)}}\\\\\large\boxed{\mathsf{x^2 + 2x - 15}}\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x^2+ 2x - 15}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Mr. Pham mowed 2/7 of his lawn. his son mowed 1/4 of the lawn who mowed the most? How much of the lawn still needs to be mowed

Answers

the answer is 2/7, so Mr. Pham

Answer:

I believe the answer is 13/18

Step-by-step explanation:

if is not sorry but this is for 5th grade exit ticket only

What operation should be done first to solve 6x + 5 = 35?

Answers

Answer:

Subtract 5

Step-by-step explanation:

Pemdas is done backwards in algebra

A ladder is propped against the side of a building making a 30 degree
angle with the building
If the base of the ladder is 6 feet from the base of the building, how
high will the ladder be resting against the building, in feet? Round
your answer to the nearest whole number

Answers

Using trigonometry. This picture shows a ‘not to scale’ sketch of the following question. Use Sin 30. Sin 30= opposite/hypo tenuse. That is simply dividing 6 ft over Sin 30 that is 12 feet.

4 1/2 - 1 2/3 = ?


what is the question mark ?​

Answers

Answer:

17/6 LMK if you need a different form.

Step-by-step explanation:

4/5 times 1/2 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST

Answers

Answer:

2/5

Step-by-step explanation:

4/5*1/2

=2/5

The answer is 0.4 in decimal form and 4/10 simplified is 2/5 in fraction form.

43=0.34x+19.5
What is x

Answers

Step-by-step explanation:

43=0.34x+19.5

=> 0.34x+19.5 = 43

=> 0.34x = 43 - 19.5

= 23.5

[tex] = > x = \frac{23.5}{0.34} [/tex]

=> x = 69.117 (Ans)

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