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3 years ago

Please help me please

Mathematics

1 answer:

spayn [35]3 years ago

4 0

Answer:

A. 34°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] tanθ = opposite over adjacent
Inverse Trig

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite leg AC = 24

Adjacent leg CB = 35

Step 2: Solve for x

Substitute in variables [Tangent]: $\displaystyle tanx^\circ = \frac{24}{35}$
Inverse Trig [Tangent]: $\displaystyle x^\circ = tan^{-1}(\frac{24}{35})$
Evaluate: $\displaystyle x = 34.439^\circ$
Round: $\displaystyle x \approx 34^\circ$

You might be interested in

Separate the number 18 into two parts where the product of the parts is 77

hammer [34]

11+7=18
11*7=77
i hope that my answer helps

4 0

3 years ago

See the attached picture.

katrin2010 [14]

Answer:

67.5 ft

Step-by-step Explanation:

==>Given:

∆MAB and ∆MNP, such that:

AB is parallel to NP

MN and MP are transversal

MN = 71.5 ft

MP = 97.5 ft

AN = 22ft

MA = MP - AN = 71.5 - 22 = 49.5 ft

MB = x

==>Required:

Value of x

==>Solution:

From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:

<MAB is congruent to <MNP

<MBA is congruent to <MPN

This implies that ∆MAB is similar to ∆MNP

Therefore, the ratio of their corresponding sides would be the same, and also proportional.

Thus,

MA/MN = MB/MP

49.5/71.5 = x/97.5

=>Cross multiply to solve for x

49.5 × 97.5 = x × 71.5

4,826.25 = 71.5x

=>Divide both sides by 71.5

4,826.25/71.5 = x

67.5 = x

x = 67.5 ft

6 0

3 years ago

In a recent month, 88% of automobile drivers filled their vehicles with regular gasoline, 2% purchased midgrade gas, and 10% bou

Nimfa-mama [501]

Answer:

b) 0.2464

c) 0.0580

d) 0.2952

Step-by-step explanation:

Probability of those that purchased regular gas = 88% = 0.88

2% purchased mid grade gas

10% purchased premium gad

Given that a driver bought regular gas, 28% paid with credit card

Given that a driver bought mid grade gas, 34% paid with credit card

Given that a driver bought premium gas, 42% paid with credit card

Let R represent drivers that bought regular gas

Let M represent drivers that bought mid grade gas

Let P represent drivers that bought premium gas

Let C represent credit card payment

Let NC represent non-credit card payment

Pr(R) = 88% = 0.88

Pr(M) = 2% = 0.02

Pr(P) = 10% = 0.10

Pr(C|R) = 28%= 0.28

Pr(C|M) = 34%= 0.34

Pr(C|P) = 42%= 0.42

Pr(NC|R) = 1 - 0.28= 0.72

Pr(NC|M) = 1 - 0.34 = 0.66

Pr(NC|P) = 1 - 0.42 = 0.58

Using multiplication rule

Pr(AnB) = Pr(A) * Pr(B|A) = Pr(B) * Pr(A|B)

Using conditional probability,

P(B|A) = Pr(AnB) / Pr(A)

Pr(CnR) = Pr(R) * Pr(C|R)

= 0.88*0.28

= 0.2464

Pr(CnM) = Pr(M) * Pr(C|M)

= 0.02*0.34

= 0.0068

Pr(CnP) = Pr(P) * Pr(C|P)

= 0.10*0.42

= 0.0420

b) the probability that an automobile driver filled with regular gasoline AND paid with a credit card =

Pr(CnR)

= 0.2464

c) the probability that an automobile driver filled with premium gasoline AND did NOT pay with a credit card = Pr(P n NC) = Pr(NC|P) * Pr(P)

= 0.58 * 0.10

= 0.0580

d) The probability of those that paid with credit card is given as

Pr(CnR) + Pr(CnM) + Pr(CnP)

= 0.2464 + 0.0068 + 0.042

= 0.2952

7 0

3 years ago

A rectangle had a length of 7 inches and a total of 14 square inches.what is the width of the rectangle ?

creativ13 [48]

2 because 7*2 is 14 idk if it's correct tho

7 0

3 years ago

A) write an equation B) x= Picture is above

Monica [59]

Answer: Answer is in the steps

Step-by-step explanation:

The interior angles of a triangle add up to one 180 degrees so they all have to add up to 180 degrees.

A) (x+10)° + 50° + (x+20)° = 180°

B) Now solve for x using the equation

x+10 + 50 +x+20= 180

2x + 80 = 180

-80 -80

2x = 100

x = 50

6 0

4 years ago