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3 years ago

−15x+60≤105 AND14x+11≤−31

Mathematics

1 answer:

Mice21 [21]3 years ago

6 0

Answer:

-15x<=45 and 14x<=-42

x>=45/-15 and x<=-42/14

x>=-3 and x<=-3

so x=-3

Step-by-step explanation:

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I need to find area of this shape

aleksklad [387]

Answer:

15 in

Step-by-step explanation:

LxH

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3 years ago

I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

4 0

3 years ago

WILL GIVE BRAINLIEST! NEED ANSWER FAST!

yuradex [85]

Answer:

x= 251

Step-by-step explanation:

300x= 190x + 27,610

300x-190x= 27,610

110x= 27610

x= 27610/110

x= 251

3 0

3 years ago

What is the solution to the linear equation d-10-2d+7=8+d-10-3d

bija089 [108]

D-10-2d+7 = 8 + d- 10 -3d
d-2d-10+7 = 8-10 +d -3d
-d-3=-2-2d
-d+2d=3-2
d=1

Final answer: C. d=1

8 0

3 years ago

Read 2 more answers

A triangle's height is 10 feet more than its base. If the area of the triangle is 100 square feet, use factoring to find its dim

stiks02 [169]

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

Step-by-step explanation:

Height = base + 10

Area = 100 square ft

Area of a triangle= (1/2) (b) (h)

100 = (1/2) (b) (b + 10)

200 = b(b) + 10b

b(b) + 10b - 200 = 0

b(b) + 20b - 10b - 200 = 0

b ( b + 20) -10(b + 20) = 0

(b-10) (b+20) =0

b = 10 (or) b = -20

Here b is the length and cannot be negative.

So, b = 10ft

h = b + 10

h = 10 + 10

h = 20 ft.

The base length of the triangle is 10 ft. and the height of the triangle is 20ft.

6 0

3 years ago