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2 years ago

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One angle of a triangle measures 10 degrees more than the second. The measure of the third angle is twice the sum of the measure

d of the first two angles.find the measure of each angle (hint : the sum of the three angles in a triangle equals 180°.) SHOW YOUR WORK !!!!

1 answer:

mina [271]2 years ago

4 0

Answer:

y o u t u b e

Step-by-step explanation:

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At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are

olchik [2.2K]

Answer:

The probability that exactly one switch is good is

$P(x) =0.0392$

Step-by-step explanation:

The probability that a switch is defective is:

$P(D) = \frac{2}{100} =0.02$

The probability that a switch is not defective is

$P(D') = 1-P(D)=0.98$

Therefore, if two switches are selected, the probability that exactly 1 is good is:

$P(1=1)=P (D) P (D ') + P (D') P (D)$

$P(x)=(0.02)(0.98) + (0.98)(0.02)$

$P(x) =0.0392$

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3 years ago

Read 2 more answers

Rita earns $17.00 per hour. If she gets a 6% raise, what will be her new hourly wage?

ipn [44]

multiply 17 by 6%

17 * 0.06 = 1.02 increase

17 +1.02 = 18.02 new hourly wage

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3 years ago

Solve using the quadratic formula<br><br> x² - 12x + 36=0

motikmotik

Answer:

6

Step-by-step explanation:

(-12)^2-4*1*36=0

144-144=0

x= -(-12)/2*1=

12/2=

6

x=6

4 0

3 years ago

Alex has 128 photos of his friend to display equally in 4 photo albums. Which equation can you use to find how many will be in e

Trava [24]

Answer:

128 ÷ 4 = $\frac{128}{4}=32$

Step-by-step explanation:

Total number of photos = 128

Number of photo albums = 4

Alex has 128 photos of his friend to display equally in 4 photo albums.

Equation that can be used to find number of photos in each album =

Number of photo albums ÷ Total number of photos

= 128 ÷ 4

= $\frac{128}{4}=32$

7 0

3 years ago

Kendra dives off a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation: ,

MAVERICK [17]

Answer:

1. 6 feet

2. 6.25 feet

3. 1 feet

4. 6 feet

Step-by-step explanation:

The equation is : $h(x)=x^2-7x+6$

1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.

So, substituting x = 0 in the equation, we get

$h(0)=0^2-7(0)+6$

$=0-0+6$

$=6$

So, the diving board is 6 feet above the surface of the water.

2. From the equation, we known that it is a parabola and the vertex is minimum.

It is the minimum height which represents the depth Kendra dives into the water.

So the $x$ coordinate of the vertex is = $\frac{-b}{2a}$

Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,

a = 1 and b = -7

∴ x coordinate = $\frac{-(-7)}{2 \times 1}$

$\frac{7}{2}=3.5$

Now substituting to find f(x),

$h(3.5)=(3.5)^2-7(3.5)+6$

= -6.25

Therefore, the diver dives 6.25 feet below the water surface.

3. The horizontal distance from the board the diver enters into the water.

This is the y-intercept and it is the value of x when h(x)=0.

∴ $0=x^2-7x+6$

Factorizing, we get $(x-1)(x-6)=0$

∴ $x=1 \text{ or}\ x=6$

So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.

4. We know that the equation given has $\text{two}$ x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height $h(x)=0$ . The height is the water surface level.

The first x intercept represents the points where Kendra dives into the water.

And the second x intercept is the point where Kendra comes out of the water surface. This this is $x=6$ for $h(x)=0$ .

Thus Kendra dives out of the water surface at 6 feet from the board.

3 0

2 years ago