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3 years ago

Solve for θ. sin(74) = cos(θ) 1. 6° 2. 74° 3. 36° 4. 16°

Mathematics

2 answers:

Dmitry [639]3 years ago

7 0

Answer:

Step-by-step explanation:

sin(74) = cos(x)

sin(x)=cos(90-x)

sin (74) = cos(90-74)

sin 74 = cos( 16)

Marianna [84]3 years ago

5 0

Sin74 = Cos16

cause 16 + 74 = 90

Whenever the sum of two angles is equal with 90, the Sin of one is equal with the Cos of the other like :

Sin(30) = Cos(60)

and also

Tan(30) = Cot(60)

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A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?

Aleksandr-060686 [28]

Answer: A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Find:

You can see that vectors and This means that opposite sides are parallel and option B is false.

Find the lengths of all sides:

As you can see the lengths of opposite sides are equal, but all lengths are not equal. Therefore, the last option D is false.

Now check whether angles A and B are perpendicular:

The dot products are not equal to zero, then angles A and B are nor right. This means that option C is false and option A is correct (ABCD is a parallelogram with non-perpendicular adjacent sides

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3 years ago

Freddie needs to buy 3 dozen cookies for a party. The first 20 cookies cost $0.27 each. The rest cost $0.17 each.

yarga [219]

Answer:

8.12 is the answer

Step-by-step explanation:

He needs 36 cookies.

First do 20 * .27 for the first twenty

then do 16 * .17 for the other 16 cookies

Add 5.4 + 2.72 = 8.12

8 0

2 years ago

X/3=-19 What is the value of x

Molodets [167]

<h3>I'll teach you how solve X/3=-19</h3>

-----------------------------------------------

X/3=-19

Multiply both sides by 3:

3x/3= 3(-19)

Simplify:

x= -57

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plz mark me as brainliest :)

8 0

3 years ago

Read 2 more answers

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

By using sine rule

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

sin A = 0.990

A = sin⁻¹( 0.990) = 82.2°

∠A = 82.2°

Step(ii):-

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

Step(iii):-

we will use formula

$\frac{b}{sin B} = \frac{c}{Sin C}$

$\frac{11}{sin 35} = \frac{c}{Sin 62.8}$

$\frac{11 X sin (62.8)}{sin 35} = C$

c = 17.01

Final answer:-

∠A = 82.2° , ∠C = 62.8° , c = 17.01

4 0

3 years ago

What is the exact volume of this cone?

Studentka2010 [4]

Answer:

(b) 80/3π in³

Step-by-step explanation:

The volume of a circular cone is given by ...

V = 1/3πr²h . . where r is the radius (half the diameter) and h is the height

Your cone has r = 4 inches and h = 5 inches, so its volume is ...

V = (1/3)π(4 in)²(5 in) = 80/3π in³

The volume of the cone is exactly (80/3)π cubic inches.

5 0

2 years ago

Solve for θ. sin(74) = cos(θ) 1. 6° 2. 74° 3. 36° 4. 16° ​

Solve for θ. sin(74) = cos(θ) 1. 6° 2. 74° 3. 36° 4. 16°