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3 years ago

Write cos 53 degrees in terms of sine.

Mathematics

1 answer:

SOVA2 [1]3 years ago

7 0

Cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)

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At a baseball training camp, a computer system plots the paths of balls hit during sessions at the batting cage and generates eq

notsponge [240]

Are we solving for h or t

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3 years ago

About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find

Tanzania [10]

Step 1

Find the total area

Total area=(1,150,000/18,075)=63.62 square kilometer

The area of a circle is equal to

$A=\pi * r^{2} \\ 63.62= \pi * r^{2}\\r=\sqrt{(63.62/\pi)} \\r=4.5\ km$

therefore

the answer is

$4.5\ km$

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3 years ago

5. How many solutions does this system of equations have?

Diano4ka-milaya [45]

Answer:

$\text{\boxed{\sf{D. \ No\ solution}}}$

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

First, you have to substitute of y=-4x-1.

$\Longrightarrow: \sf{[-4x-1=-4x-9]}$

Add by 4x from both sides.

$\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}$

Solve.

$\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}$

Therefore, the correct answer is "D. No solution".

I hope this helps. Let me know if you have any questions.

8 0

2 years ago

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2 $x$ and PC = 3 $x$

Now, BP + PC = BC = 58 = 2 $x$ + 3 $x$ = 5 $x$

So,

$5x =58\\\Rightarrow x =11.6$

BP = $2\times x = 2 \times 11.6 = 23.2\ inches$

Location of the Cut = 2 + 23.2 = 25.2 inches

Alternatively, we can use the formula directly:

$x = \dfrac{m} {m + n } (x_2 - x_1) + x_1$

$x_1 = 2\\x_2 = 60$

m: n is the ratio 2:3

$x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}$

5 0

3 years ago

Read 2 more answers

Guided Practice

elena-s [515]

Answer:

see below

Step-by-step explanation:

The experimental probability of heads is

P( heads) = 28/50 = 14/25

The theoretical probability is

P (heads) =1/2

Getting a common denominator for the experimental

25/50

comparing the experimental and the theoretical

28/50 > 25/50

experimental > theoretical

4 0

3 years ago