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3 years ago

Find X Please help and explain, whoever answers ill vote brainlest

Mathematics

1 answer:

Dominik [7]3 years ago

3 0

Answer:

x = 35 degrees

Step-by-step explanation:

∠BCA = ∠DAF because they are corresponding angles.

∠BCA + 42 + 103 = 180 (angles in a triangle = 180)

∠BCA = 180 - (42+103)

∠BCA = 35

∠BCA = x (corresponding angles)

x = 35

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Will reward brainliest!

Lina20 [59]

Option D: Two irrational solutions

Explanation:

The equation is $17+3 x^{2}=6 x$

Subtracting 6x from both sides, we have,

$3x^{2} -6x+17=0$

Solving the equation using quadratic formula,

$x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}$

Simplifying the expression, we get,

$\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}$

Taking out the common terms and simplifying, we have,

$\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}$

Dividing by 3, we get,

$x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}$

Hence, the equation has two irrational solutions.

8 0

3 years ago

What is the probability of getting a spade or a red card?

Verdich [7]

Answer:

3/4

Step-by-step explanation:

1/2 the deck is red cards.

1/4 of the deck is spades.

There are no spades that are red cards, so the probability of drawing a red card or a spade at random from a well-shuffled deck is ...

1/2 + 1/4 = 3/4

5 0

3 years ago

According to a study conducted in one city, 35% of adults in the city have credit card debts more than $2.000. A simple random s

BabaBlast [244]

Answer:

Binomial; \mu p=87.5, \sigma p=7.542

Step-by-step explanation:

a distribution is said be a binomial distribution iff

The probability of success of that event( let it be p) is same for every trial
each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
there are fixed number of trials (n)
the trials are independent

here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)

here n=250

the probability of success(0.35) is same for every trial

(35/100=0.35 is the required p here)

$\mu_{p} =n*p=250*\frac{35}{100} =250*0.35=87.5$

[since, the formula for $\mu _{p} =n*p$ ]

$\sigma _{p} =\sqrt{n*(p)*(1-p)} = \sqrt{250*0.35*(1-0.35)} = 7.542 ( approximately)$

[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}

therefore, it is Binomial; \mu p=87.5, \sigma p=7.542

4 0

3 years ago

Thirteen equals one plus four s

victus00 [196]

13=1+4s
So you find S
So you take out 1, and subtract 1 from thirteen
12=4s so then you divide it by 4
12÷4=3
s=3

6 0

3 years ago

Each of the four sides of a swimming pool measures 12 m the pool is 6 m deep how much water will be needed to fill completely

Alex_Xolod [135]

The amount of water needed to fill the swimming pool completely is 864 cubic meters.

Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.

"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.

As we know, the swimming pool is in cubic shape.

So, we will find the volume of cube using the formula V=l×b×h.

Here, l=12m, b=12m and h=m.

Now, we want to substitute the values in the formula, we get

V=12m×12m×6m

V=864m³

Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.

Learn more about the volume of cube from here brainly.com/question/1972490

#SPJ9

4 0

1 year ago