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Art [367]
2 years ago
10

ΟΧΤΟ.

Mathematics
1 answer:
iren [92.7K]2 years ago
5 0
A)
i.117
ii.117
b)
i.1170
ii.1170
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Consider the following conditional statement:
IrinaVladis [17]

Answer:

a. contrapositive because it's the converse and inverse. True.

b. converse because it's the reverse of conditional statement. True.

c. That is false so it's not converse, inverse, or contrapositive.

6 0
3 years ago
Granite counter tops cost $40 for every square foot. The base pay to install the counter top is $750. Set up a Linear Model repr
vladimir1956 [14]

Answer:

31.5 square feet of counter top

Step-by-step explanation:

x represents the number of square feet

40x + 750 = 2010 subtract 750 from both sides

40x = 1260 divide both sides by 40

x = 31.5

3 0
2 years ago
-9x-3y= -2<br> 3x-y= -4<br><br> Solve for x and y.
Alexxx [7]
Try it on the app photomath

4 0
3 years ago
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s,
shusha [124]

Answer:

-0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

Step-by-step explanation:

Let

x= distance between the wall and ladder

Ф = angle between the ladder and ground

The rate of change is: dx/dt = 0.8 ft/s

We need to find dФ/dt when x = 8 ft/s

From the triangle in the figure we see that:

cos Ф = x/10

=> x = 10 cosФ

Now, the rate of change will be

d(x)/dt = d/dt (10cosФ)

dx/dt = -10 sin Ф dФ/dt

dx/dt = 0.8 (given)

to find dФ/dt

we need to find sin Ф when x = 8

By Pythagoras theorem

(hypotenuse)^2 = (Perpendicular)^2+(base)^2

(10)^2 = (8)^2+ (Perpendicular)^2

100 = 64 +  (Perpendicular)^2

=>  (Perpendicular)^2 = 100-64

(Perpendicular)^2 = 36

Perpendicular = 6

sin Ф = Perpendicular/hypotenuse

sin Ф = 6/10 = 3/5

Putting values in:

dx/dt = -10 sin Ф dФ/dt

0.8 = -10(3/5) dФ/dt

0.8 = -6 dФ/dt

=> dФ/dt = 0.8 / -6

dФ/dt = - 0.133 radians/s

So, -0.133 radians/s is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall.

3 0
3 years ago
Can someone help me please
lianna [129]

Answer:

(4x + 5)(x² + 25)

Step-by-step explanation:

Given

4x³ + 5x² + 100x + 125 ( factor the first/second and third/fourth terms )

= x²(4x + 5) + 25(4x + 5) ← factor out (4x + 5) from each term

= (4x + 5)(x² + 25)

6 0
3 years ago
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