If sin A = cos B and the measure of angle A is 1.5 times the measure of angle B, find the measure of angle A

Answers

Answer 1

Answer:

[tex]A = 54[/tex]

Step-by-step explanation:

Given

[tex]\sin A = \cos B[/tex]

[tex]A=1.5B[/tex]

Required

Find A

If [tex]\sin A = \cos B[/tex]

Then:

[tex]A +B = 90[/tex]

Substitute [tex]A=1.5B[/tex] in [tex]A +B = 90[/tex]

[tex]1.5B + B = 90[/tex]

[tex]2.5B = 90[/tex]

Solve for B

[tex]B = \frac{90}{2.5}[/tex]

[tex]B = 36[/tex]

Substitute [tex]B = 36[/tex] in [tex]A=1.5B[/tex]

[tex]A = 1.5 * 36[/tex]

[tex]A = 54[/tex]


Related Questions

In a class of 29 students, 20 have a brother and 8 have a sister. There are 3 students who do not have any siblings. What is the probability that a student chosen randomly from the class is an only child?

Answers

Answer: 1/4 = 0.25 = 25%

Step-by-step explanation:

Let x be the number of students having both brother and sister.

Brother only is 9-x

Sister only is 16-x

Brother only + sister only + both + neither = 28

(9-x) + (16-x) + x + 7 = 28

32 - x = 28

x = 4

The probability per the diagram is 4/16 = 1/4

Per definition of conditional probability:

prob( brother | sister) = prob ( brother AND sister) / prob ( sister)

            = 4/16 = 1/4

1/4 = 0.25 = 25%

Answer:

3/29

Step-by-step explanation:

It's right trust me.

Determine if the two triangles are congruent. If they are, state
the condition.

Answers

Answer:

HL

Step-by-step explanation:

Since we have two pairs of congruent sides with the included angle, one pair of which are the hypotenuses, then the triangles are congruent by HL.

Answer:

HL

Step-by-step explanation:

They are both Right triangles (a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.)

In the number 571,642,837,566, the digit 1 is in what place?

Answers

Answer:

it is in the billionth place

Step-by-step explanation:

Answer:

Step-by-step explanation:

Trillions place.  That '1' indicates '1 trillion.'

Sharon skated for 6 2/3 hours last month and 2 2/3 hours this month. How many hours did Sharon skate in all?

Answers

Answer:

9 1/3

Step-by-step explanation:

6 2/3 + 2 2/3 = ?

6 + 2 = 8

2/3 + 2/3 = 4/3 = 1 1/3

8 + 1 1/3 = 9 1/3

Sharon skated for 9 1/3 hours.

Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Help i will give brainliest and no links or i will report

Answers

Answer:

c

Step-by-step explanation:

math

Which of the following statements is reflected in the data in the chart? (A) Those who are younger are more likely to be registered to vote than those who are older. (B) Among registered voters, there was a steep increase in social media usage to follow political figures across all age groups and party affiliations. (C) Registered voters in th

Answers

Answer:

(B) Among registered voters, there was a steep increase in social media usage to follow political figures across all age groups and party

Step-by-step explanation:

From the chart of the question. It can be seen that at an average when comparing the year 2010 against the year 2014, there is an obvious or sharp increase in social media usage to follow political figures

There is also the issue of party affiliation which contributes to such an increase.

can someone help me please?

Answers

Answer: It would be A 3$

Step-by-step explanation:

Because 5+3=8 and 8+3=11

what is a standard transmission
A. an automatic transmission
B. a stick shift
C. a cold-weather feature

Answers

Answer:

i would say B a stick shift

Step-by-step explanation:

classify the polynomial −8a2x2+15​

Answers

Answer:

binomial

Step-by-step explanation:

bcoz highest power(degree) is 2

Is 301 in the sequence below?
-9, -5,-1,3,7,...

Answers

Answer:

no

Step-by-step explanation:

Establish the nth term formula

There is a common difference d between consecutive terms, that is

d = - 5 - (- 9) = - 1 - (- 5) = 3 - (- 1) = 7 - 3 = 4

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = 4 , then

[tex]a_{n}[/tex] = - 9 + 4(n - 1) = - 9 + 4n - 4 = 4n - 13

Equate 4n - 13 to 301

4n - 13 = 301 ( add 13 to both sides )

4n = 314 ( divide both sides by 4 )

n = 78.5

Since n is not an integer then 301 is not in the sequence

301 doesn't belong to the sequence -9, -5,-1,3,7,...

What is A.P sequence?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

The arithmetic sequence is given by a, a + d, a + 2d, a + 3d, … .

Hence, the formula to find the nth term is:

[tex]a_{n}[/tex] = a + (n – 1) × d.

where,

a = first term

d = common difference

n = number of terms

[tex]a_{n}[/tex] =  nth term

According to the question

Sequence  : -9, -5,-1,3,7,...

First term (a)= -9

common difference (d)=  -5 - (-9)

                                 =   4

[tex]a_{n}[/tex]   = 301

using the formula of nth term

[tex]a_{n}[/tex]  = a + (n-1)d

Substituting the value

301 = -9 + (n-1) 4

310 = (n-1) 4

77.5 = (n-1)

n = 78.5

as n always to be the whole number .

Hence, 301 doesn't belong to the sequence -9, -5,-1,3,7,...

To know more about A.P sequence here:

https://brainly.com/question/24205483

#SPJ3

NO LINKS!!! PLS HELP ME IM TRYING TO GRADUATE PLSSS !!! Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark (/) for the fraction bar.
(1,-1) (4,-6)

Answers

Answer:

x = 5/2 , y = -7/2

Step-by-step explanation:

r's your solution

=> formula for finding midpoint =.( X1 + X2/)/2 , (Y1+Y2)/2

=> putting the value of in formula

=> x= 4+1/2 , y = -1-6/2

=> x = 5/2 , y = -7/2

hope it helps

Pleaseee helppp ASAP

Extra 100 points
And brainliest

Answers

Answer:

what help I can do for you

Answer:

where is the questions

Step-by-step explanation:

you should write correct question

Please help out will give brainliest

Answers

Answer:

66 cm

Step-by-step explanation:

Answer:

∠ A ≈ 77.8°

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{BC}{sinA}[/tex] = [tex]\frac{AB}{sinC}[/tex]

[tex]\frac{37}{sinA}[/tex] = [tex]\frac{29}{sin50}[/tex] ( cross- multiply )

29 × sinA = 37 × sin50° ( divide both sides by 29 )

sinA = [tex]\frac{37sin50}{29}[/tex] , then

A = [tex]sin^{-1}[/tex] ( [tex]\frac{37sin50}{29}[/tex] ) ≈ 77.8° ( to 1 dec. place )

*Check Photo and no links please​

Answers

Answer:

725.51

Step-by-step explanation:

Landon used a semicirce, a rectangle, and a right triangle to form the figure shown.
6 cm
4 cm
- 10 cm
Which is the best estimate of the area of the figure in square centimeters?
A S2 cm
B 44 cm
C 26 cm
D 38 cm

Answers

Area of rectangle= base x height
6x4=24

Area of triangle= 0.5 base x height
We have the height but we don’t have the base, to calculate the base we subtract 10-6 which equals to 4
0.5 x 4 x4 =8

Area of a semicircle= o.5 x pi x r^2
We have the diameter and to find the radius we divide it by 2
4/2 = 2
0.5 x pi(or 3.14) x 2^2
=6.28
Total area = 24 + 8+ 6.28 =38.28cm^2


Answer: the answer will be 38 centimeters

Step-by-step explanation:

Work on Screenshot i got this one wrong when i first tried it

Answers

The answer to your question is 30

Which equation is represented by the graph below?

Answers

Do not click the link from the person above! It will give you a virus trust me! I don’t know the answer i’m so sorry I just don’t want you to get a virus

$600 at 5% for two years find the interest earned

Answers

Answer:

$60

Step-by-step explanation:

I hope this help and that it is right

The interest earned will be:

So, it is $60

Step-by-step explanation:

I = 600 * 0.05 * 2

I = $60

Hope this helps you!

A right triangle undergoes a sequence of transformations to generate a new
triangle. Which of the following sequences of transformations would result in
the two triangles being similar but not congruent?

Answers

Answer:

Option a.

Step-by-step explanation:

Two figures are similar if they have the same shape, but maybe different sizes, so if we have a triangle, and we dilate/contract it with a scale factor K, the original triangle and the dilated/contracted one will be similar.

Two figures are congruent if they have the same shape and size. For example, transformations that do not change the size will make congruent figures, those transformations are reflections, rotations and translations.

Now we need to find a sequence of transformations that would result in the two triangles being similar but no congruent, then we need to find the sequence of transformations that has a dilation/contraction in it.

The only sequence that has a dilation is the first one:

a) Rotation 90° centered about the origin, followed by a dilation of scale factor 3 centered about the origin.

Then option a is the correct one.

What's (7.3 x 10^-1) (.004) in standard notation

Answers

Answer:

.73(.004) or .00292

Step-by-step explanation:

First, you should look at the equation: (7.3x10^-1). This means you would have to move the decimal to the left one time. So, the equation would be .73(.004).

If you wanted to find the answer to this equation, you would get .00292.

Standard notation: (.73)(.004).

Answer:

2.92 x 10⁻³

Step-by-step explanation:

(7.3 x 10⁻¹) (0.004)  = (7.3 x 10⁻¹)(4 x 10⁻³) =(7.3*4) x 10⁻¹⁻³ =29.2 x 10⁻⁴ = 2.92 x 10⁻³

Delta math help? I'm stuck please this is very urgent!!!

Answers

Answer:

the vertex is (-7,-90)

the focus is ( -7, -359/4)= (-7,-89.75)

semi-axis length; 1/4=0.25

focal parameter: 1/2=0.5

eccentricity;1

directrix: y=-361/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

axis of symmetry is 1.4 im not sure if im right sorry if im wrong.

Which triangle has hypotenuse Side A E?

triangle BAE
triangle CAE
triangle GAE
triangle HAE

Answers

Answer:

D.

Step-by-step explanation:

How many Terms are in the following expression: x−12÷(3∗2)

Answers

Answer:

4.

Step-by-step explanation:

Each term is separated by a symbol.

Terms can be: 4x, 0.5x, 3, 700, etc.

term 1: x

term 2: 12

term 3: 3

term 4: 2

Hope that helped <3

What is the volume?

Answers

Answer:

Volume of pyramid is 1/3 * area of base * height

Step-by-step explanation:

Plug it in

1/3 * 48 * 10 = 160 cm^2

1/3*48*15 = 240 cm^2

The resale value of a bike decreases by 14% per year. A new bike is valued at $350. Approximate the resale value after 4 years to the nearest dollar.

Answers

Answer: $‭191.45

Step-by-step explanation:

This question requires the price of a bike in future so you can use the future value formula to calculate it:

Future value = Amount * (1 + rate)^ no. of periods

= 350 * (1 - 14%)⁴

= 350 * ‭0.54700816‬

= $‭191.45

The rate is subtracted from 1 instead of being added to represent that the value is decreasing not increasing.

Find the value of x.
11
12

Answers

Forgive me if i’m wrong but

x=35

Answer:

22

Step-by-step explanation:

A rectangular ballroom is being carpeted. The room measures 30 feet by 25 feet. If the carpet costs $3.00 per square foot, then what is the cost of the carpet?

Answers

Answer:

$2250

Step-by-step explanation:

30 x 25 = 750 -> area

750 x 3= 2250

Someone please help!!!

Answers

42yd is your answer

Answer:

area of shaded region =area of (square -circle)

=l²-π(d/2)²

=14²π(14/2)²=196-49π=42.061=42yd

hello. Someone help me solve all these. Will mark as brainliest. Thanks

Answers

Answer:

number 19 is letter B.hence express P(x) as the product of it's linear factors

5a-7=2a can someone also explain

Answers

Answer:7/3 or 2.333 for short.

Step 1 add both sides with seven, Step 2 simplify by adding the numbers,  

step 3 Subtract  2a from both sides of the equation,step 4 Combine like terms, step 5 Divide both sides of the equation by the same term,Step 6 Cancel terms that are in both the numerator and denominator.

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