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3 years ago

Please help me what would the angle be subtracting them

Mathematics

1 answer:

Gelneren [198K]3 years ago

4 0

Answer:

r=8

the angle measurement is 95.

Step-by-step explanation:

Well, those angles would be the same, so you set them equal to each other.

95=6r+47

then solve it.

6r=48

r=8

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DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

Find the diagonal of a rectangular frame which measures 77 in. by 36 in.

quester [9]

Answer:

Diagonal of a rectangular frame = 85 inch

Step-by-step explanation:

Given:

Length of rectangle = 77 inch

Width of rectangle = 36 inch

Find:

Diagonal of a rectangular frame

Computation:

Diagonal of a rectangle = √l² + b²

Diagonal of a rectangular frame = √77² + 36²

Diagonal of a rectangular frame = √5,929 + 1,296

Diagonal of a rectangular frame = √7,225

Diagonal of a rectangular frame = 85 inch

7 0

3 years ago

A tailor has 13 1/2 yards of fabric to use for making costumes. For each costume, he needs 1 1/2 yards of fabric for the top and

VLD [36.1K]

Answer:

6 complete costumes

Step-by-step explanation:

he has 27/2 total fabric

1 costume requires 1 2/4 + 3/4 of fabric, which is 2 1/4

we divide 27/2 by 9/4

27/2 x 4/9 = 6

3 0

3 years ago

Which value for x makes the sentence true?

Nat2105 [25]

<span>A. x = 2
Would make your statement true</span>

3 0

3 years ago

Find the radius r of the circle. Round your answer to the nearest tenth.

asambeis [7]

Answer:

1.1 yd

Step-by-step explanation:

120 × π/180 = 2π/3

2.3 = r × 2π/3

=> r = 2.3 ÷ 2π/3

=> r ≈ 1.1

3 0

3 years ago