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3 years ago

Help with this and show steps, please!!!!!!

Mathematics

1 answer:

kipiarov [429]3 years ago

7 0

Answer:

Step-by-step explanation:

The figure has two disjoint pairs of consecutive sides which are congruent.

Thus the figure is a Kite

Using the properties of a Kite

• The diagonals are perpendicular

• The main diagonal diagonal bisects the pair of opposite angles

Hence ∠1 = 90° ( diagonals are perpendicular )

The angle 22° is a bisected angle so the angle below is also 22°

The sum of the 3 angles in a triangle = 180°, hence

∠2 = 180° - (90 + 22)° = 180° - 112° = 68°

The solution is A

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A company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that

kondaur [170]

Answer:

Probability that the company wins project A or project B is 0.50.

Step-by-step explanation:

We are given that a company is bidding on two projects, A and B. The probability that the company wins project A is 0.40 and the probability that the company wins project B is 0.25.

Also, Winning project A and winning project B are independent events.

Let the Probability of winning project A = P(A) = 0.40

Probability of winning project B = P(B) = 0.25

Now, as we know that ;

Probability that the company wins project A or project B = $P(A \bigcup B)$

$P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)$

So, we have to find the value of Probability of winning project A and B, i.e;

$P(A \bigcap B)$

Since, we are given that Winning project A and winning project B are independent events which means when this condition is given then;

$P(A \bigcap B) = P(A) \times P(B)$

= 0.40 $\times$ 0.25 = 0.10

Now, Probability that the company wins project A or project B is given by;

$P(A \bigcup B) = P(A) + P(B) - P(A \bigcap B)$

= 0.40 + 0.25 - 0.10

= 0.65 - 0.10 = 0.55

Hence, probability that the company wins project A or project B is 0.50.

3 0

3 years ago

10•1/2+(-6)(-3) Simplified in steps

dangina [55]

Answer:

Step-by-step explanation:

1) (10*0.5)+(-6*-3)

2) (5)+(18) (The 18 isn't negative because of the rule that states "A negative and a negative will become positive"

3) 5+18=23

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3 years ago

A statue is mounted on top of a 25 foot hill. From the base of the hill to where you are standing is 53 feet and the statue subt

bixtya [17]

Answer:15.848 ft

Step-by-step explanation:

Given Height of hill is 25 foot

and distance between Hill foot and feet is 53 feet

angle subtended by 12.4^{\circ}[/tex]

From diagram

$tan\theta =\frac{25}{53}$

$tan(\theta +12.4)=\frac{h+25}{53}$

and we know $tan(A+B)=\frac{tanA+tanB}{1-tanAtanB}$

using above formula

$tan(\theta +12.4)=\frac{tan\theta +tan(12.4)}{1-tan(\theta )tan(12.4)}$

$\frac{h+25}{53}=\frac{\frac{25}{53}+0.219}{1-0.219\times \frac{25}{53}}$

$0.896h+22.407=25+11.607$

h=15.848 ft

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3 years ago

PLEASE!!!! -5x + 6 < 2(-3 − x)?

Over [174]

Answer: go check the scale

Step-by-step explanation:

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3 years ago

PLEASE HELP!!!!

artcher [175]

Answer:

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Step-by-step explanation:

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2 years ago

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