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3 years ago

Dilation of 4 n (0,0) k(1, 1) I (1, 0)

1 answer:

5 0

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Why can 2 obtuse angles make a right triangle please help

djverab [1.8K]

They can NOT. A right angle is 90°. An obtuse angle is greater than 90°. All the angles in a triangle must add up to exactly 180°. If two angles are greater than 90° then they will add up to greater than 180, beacuse 90 plus 90 equals 180. You cannot have a triangle with two obtuse angles because they will add up to greater than 180°.

8 0

4 years ago

suppose a triangle has two sides of length 2 and 3 and that the angle between these two sides is 60. what is the length of the t

arlik [135]

Answer:

√7 ≈ 2.646

Step-by-step explanation:

The law of cosines is applicable. It tells you ...

c² = a² + b² - 2ab·cos(C) . . . . . where a, b, c are triangle side lengths, and angle C is opposite side c.

Filling in the given information, you have ...

c² = 2² + 3² - 2·2·3·cos(60°) = 4 + 9 - 12·(1/2) = 7

c = √7 ≈ 2.646

The length of the third side is √7, about 2.646 units.

3 0

4 years ago

Read 2 more answers

The probability distribution for a random variable x is given in the table.

Hoochie [10]

Answer: 0.79

Step-by-step explanation:

I will suppose that this is not a continuos probability, as the individual probabilites add up to 100%.

If you want to obtain the probability that x ≤ 0, then you need to add the probability for the cases x= 0, x = -1, x = -2 .... etc

This is:

x = 0, p = .16

x = -2, p = .33

x = -3, p = .13

x = -5, p = .17

Then, the probability where x takes a negative value or zero {-5, -3, -2, 0} is:

P = 0.16 + 0.33 + 0.13 + 0.17 = 0.79

7 0

3 years ago

You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1

Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is $368\ ft^2$

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) $\$75$

Part 5) The area of the floor is $126\ ft^2$

Part 6) $\$850.5$

Part 7) $\$1,008$

Part 8) $\$472.5$

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

The perimeter of the floor is

$P=2(9+14)=46\ ft$

The area of the walls is

$46(8)=368\ ft^2$

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal$

Remember that you can't buy a fraction of gallon

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

$368(2)=736\ ft^2$

using proportion

$\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal$

Remember that you can't buy a fraction of gallon

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

$3(25)=\$75$

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

$A=(9)(14)=126\ ft^2$

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

$126(6.75)=\$850.5$

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

$126(8.00)=\$1,008$

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

$126(3.75)=\$472.5$

5 0

3 years ago

Pls help solve for x |3x-8|+7=2

goldenfox [79]

Answer:

No solution

Step-by-step explanation:

To solve first you need to isolate the absolute value sign. Do this by subtracting 7 from each side.

|3x-8| = -5

Now an expression inside absolute value bars is set to a negative. Since absolute value makes terms and expressions positive, there is no x-value that could make this true. Therefore, there are no solutions.

6 0

3 years ago