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-BARSIC- [3]
3 years ago
6

Please answer please

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
6 0

Answer: 53

Step-by-step explanation: We can use any of the trigonometric functions to find the angle. I'll just use sin. Sin-1(48/60) = 53

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The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula
Semmy [17]

Answer:

Therefore,

r=\sqrt[3]{\frac{3V}{4\pi }}

is the required r

Step-by-step explanation:

Given:

Volume of inside of the sphere is given as

V=\frac{4}{3} \pi r^{3}

where r is the radius of the sphere

To Find:

r =?

Solution:

We have

V=\frac{4}{3} \pi r^{3}   ......Given

3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}

Therefore,

r=\sqrt[3]{\frac{3V}{4\pi }}

is the required r

5 0
3 years ago
Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.
Stolb23 [73]

Answer:

s\in (-\infty,1)

Step-by-step explanation:

Solve the inequality -2(s - 7) > 4s + 8

Use distributive property:

-2s+14>4s+8

Subtract 4s:

-2s+14-4s>4s+8-4s\\ \\-6s+14>8

Subtract 14:

-6s+14-14>8-14\\ \\-6s>-6

Divide by -6 (do not forget to change sign, because division by negative number changes the sign):

s

5 0
3 years ago
Tan x + pi / 6 what is this equal to?
Scilla [17]
If tan (x)+pi/6=0

thn

tan (x)=-pi/6

take atan of both sides

x=atan (-pi/6)
x= -0.4823 rad
= -27.636 deg
5 0
3 years ago
Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and skectches up the floor
Sunny_sXe [5.5K]

The image of the floor dimensions is missing, so i have attached it.

Answer:

$88.92

Step-by-step explanation:

Looking at the attached floor plan, we have to divide it into two parts to solve easily.

To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m

Thus,bigger triangle measures; 3.6m x 2.4m

For the smaller triangle, dimensions are; 0.6m x 1.2m

Area of bigger triangle = 3.6 × 2.4 = 8.64 m²

Area of smaller triangle = 0.6 × 1.2 = 0.72 m²

Total area = 8.64 + 0.72 = 9.36 m²

Since the carpet costs $9.50 per sq.m.

Thus;

Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92

8 0
3 years ago
13. It takes Seymore, a slimy slug, 20 minutes to travel from his favorite bush to the local trash can (a distance of 30 meters)
Serjik [45]

Answer:

90 meters

Step-by-step explanation:

From the question we are to calculate the distance that the slug can move in 60 minutes.

From the question, we know that:

20 minutes = 30 meters

60 minutes = x meters

Cross Multiply

20 minutes × x meters = 30 meters × 60 minutes

x meters = 30 meters × 60 minutes/20 minutes

x meters = 90 meters

7 0
2 years ago
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