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4 years ago

Fill in the blanks with a positive or negative Integer

Mathematics

1 answer:

Greeley [361]4 years ago

8 0

Answer:

6) -

7) +

8) +

9) +

10) +

Step-by-step explanation:

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Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,

qwelly [4]

cos θ = Adjacent/ hypotenuse

cosθ= 5/13

a²+b²= c²

a² + 5² = 13²

a² = 13² - 5²

a² = 144

a=√144

a= 12

a is the opposite = 12

b is the Adjacent = 5

c is the hypotenuse = 13

a) tan θ= opposite/Adjacent

tan θ = 12/5

b) sin θ= opposite/ hypotenuse

sinθ= 12/13

C) sec θ= hypotenuse / Adjacent

sec θ= 13/5

d) cscθ= hypotenuse /opposite

cscθ= 13/12

e) cotθ=Adjacent/ opposite

cotθ= 5/12

3 0

2 years ago

At a school fundraiser, for every 12 boxes of chocalate sold a

meriva

Answer/Step-by-step explanation:

72/12=6

6x5=30

30 points.

5 0

2 years ago

What’s the missing side round to the nearest tenth?

Step2247 [10]

Sine of angle = opposite ÷ hypotenuse

sin 20 = $\frac{14}{x}$

x = $\frac{14}{sin 20}$

x = 40.9 (rounded up to nearest tenth)

4 0

3 years ago

A baby pool is shaped like a short, wide cylinder and holds 52 ft3 of water. A medium pool measures 4 times the height and width

timama [110]

Answer:

$D.\ 3328\ ft^3$

Step-by-step explanation:

Given

Volume of baby pool = 52ft³

Required

Determine the volume of the medium pool

Volume of a cylinder is calculated as:

$V = \pi r^2h$

Hence, the volume of the baby pool is:

$\pi r^2h = 52$

where r and h are the radius and height of the baby pool

Represent the height and radius of the medium pool as H and R

From the given parameters in the question

$H = 4 * h$ and $R = 4 * r$

$H = 4 h$ and $R = 4 r$

The volume of the medium cylinder is calculated as

$Volume = \pi R^2H$

Substitute 4h for H and 4r for R

$Volume = \pi (4r)^2(4h)$

Open bracket

$Volume = \pi (4r) * (4r) * (4h)$

$Volume = \pi 16r^2 * (4h)$

$Volume = \pi 16r^2 * 4h$

Collect like terms

$Volume = \pi r^2 * h * 4 * 16$

$Volume = \pi r^2 h * 64$

Recall that $\pi r^2h = 52$

So, the expression becomes

$Volume = 52 * 64$

$Volume = 3328$

Hence, the medium pool can hold $3328ft^3$ of water

3 0

3 years ago

Solve for x. y = (5+x}m Answer?

Tanzania [10]

Answer:

x=ym−4

Step-by-step explanation:

y=(4+x)m

Here we have one equation with three unknowns. This cannot be "solved". We can only express one variable in terms of the other two.

Let's isolate x.

Divide through by m

ym=4+x

x=ym−4

(I really hope this helps)

4 0

3 years ago