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2 years ago

Solve the compound inequality: n+1<=-3 or -4n<-8

Mathematics

1 answer:

Paha777 [63]2 years ago

6 0

Answer:

-4n<-8 the answer for this is (n>2)

n+1<=-3 the answer for this is (n<=-4)

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Three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side o

nlexa [21]

Answer:

74.31353

=74 m

Step-by-step explanation:

given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.

we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.

Hence this is an obtuse scalene triangle.

Angle ∠A = 56.5° (III angle)

Using sine formula we get

$\frac{AB}{sin 14.6} =\frac{BC}{sin 56.5} \\AB = 74.31353$

So distance AB is 74 metres.

5 0

2 years ago

Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

2 years ago

Mike withdrew $32 from his bank account. The transaction slip said his balance was $289.14. What was his previous balance?

Temka [501]

<span>His previous balance was $321.14
289.14 + 32 = 321.14

hope this helps
</span>

4 0

2 years ago

Simplify n^4 divided by n1/2

agasfer [191]

Given:

Consider the expression is

$\dfrac{n^4}{n^{\frac{1}{2}}}$

To find:

The simplified form of the given expression.

Solution:

We have,

$\dfrac{n^4}{n^{\frac{1}{2}}}$

Using the properties of exponents, we get

$=n^{4-\frac{1}{2}}$ $\left[\because \dfrac{a^m}{a^n}=a^{m-n}\right]$

$=n^{\frac{8-1}{2}}$

$=n^{\frac{7}{2}}$

Therefore, the simplified form of the given expression is $n^{\frac{7}{2}}$ .

5 0

2 years ago

Which of these equations have no solution? Check all that apply.

stealth61 [152]

Answer:

if u need help go to math way

Step-by-step explanation:

math way is a good way to get the steps and answer to ur problem!

4 0

2 years ago