Question 22 (1 point)
Find the pair of acute angles that corresponds to the solution of the equation sin(3x + 3)° = cos(x + 71).
15°, 85°
a

15°; 75°
Ос
75°; 105°
O
d
11°, 790

Answers

Answer 1

Answer:

75,15

Step-by-step explanation:

[tex] \sin(90 - x) = \cos(x) [/tex]

[tex] \sin(90 - (3x + 3) = \cos(x + 71) [/tex]

[tex]90 - 3x - 3 = x + 71[/tex]

[tex]87 =4 x + 71[/tex]

[tex]16 = 4x[/tex]

[tex]x = 4[/tex]

Plug in 4 for x and one of the angles we get are 75 and the other would be 15.


Related Questions

If continuous random variable X is normally distributed, with µ = 8.7 and σ = 3.9, what is P(X > 14)?

12.30%
87.70%
91.31%
8.69%

Answers

Answer:

I believe it is number 3.

Please help me ASAP!!!!!!

Answers

Answer:

The last one

Step-by-step explanation:

A positive multipled by a negative equals to negative

Find 20% of 75:please help

Answers

Answer:

hi its 15

Step-by-step explanation:

20% as a decimal is 0.20

0.20 x 75 is 15

give brainliest? (click the crown at the top)

I need helpppppppppppppppp

Answers

Answer:

b 60 -4x 50 +2x=2,800 is 50 +. 2x

In the figure, j∥k and m∠1 = 63°.

What is the m∠4?

Enter your answer in the box.

°

Line t diagonally crossing parallel lines j and k (reading from top to bottom). Angles formed by t crossing j are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by t crossing k are labeled five through eight, starting at top right and going counterclockwise.

Answers

Answer: 117

Step-by-step explanation:

Answer: 117

Step-by-step explanation: K12 Quiz, The answer above is correct.

Which expression is equivalent to 5x+10y-15?
5(x-2y-3)
5(x+5y-10)
5(x+2y-3)
5(x+2y-15)

Answers

it’s the last answer

Answer:Third optionoption

Step-by-step explanation:

expand and simplify x(x-4)(x-1)​

Answers

Answer:

x^3 - 5x^2 +4x

Step-by-step explanation:

x(x-4)(x-1)​

(x^2-4x)(x-1)

x^3-x^2-4x^2+4x

simplify

x^3-5x^2+4x

Answer:

Expand:

This is in its expanded form.

Simplify:

First do the x and the (x-4)

distribute the x

(x^2-4x)

Then FOIL or draw you grid and multiply out.

x^2 times x = x^3

x^2 times -1 = -x^2

-4x times x = -4x^2

-4x times -1 = 4x

Combine like terms.

x^3 + (-4x^2 -x^2) + 4x

Answer : x^3 - 5x^2 + 4x

A triangular prism has a height of 12 cm. The triangular base is a right triangle whose side lengths are 3 cm, 4 cm, and 5 cm. What is the total surface area?

Answers

Answer:

The volume of the prism is 72 cubic cm.

Step-by-step explanation:

This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is

3 cm. * 4 cm. / 2 = 6 square cm.

Lastly, the volume of the prism is the base area multiplied by the height:

6 square cm. * 12 cm. = 72 cubic cm.

(3 4.1. A book is bought for R 50 and sold for R80.What is the percentage profit? unntmont?​

Answers

Answer:60%

R80-R50=R30

R30/R50*100%=60%

Step-by-step explanation:

Hurry please!
What is the slope of a line parallel to the line whose equation is
5x – 3y = 18.
Fully simplify your answer.

Answers

Answer:

5/3, or 1.(6)

Step-by-step explanation:

find slope-intercept form

5x-3y=18

5x=3y+18

3y=5x-18

y=5/3x-6

slope is 5/3, or 1.(6)

The slope is 5/3 or 1.6.

What is a slope?

It is the measure of the steepness of a line.

Given that

5x-3y = 18

Rearrange the equation

i.e. 5x-18 = 3y

y = (5/3)x - 6

The general form of the slope-intercept equation is

y = mx+c

By comparing the two equation, we get slope as

Slope of the line,m = 5/3 = 1.6

Hence, the slope of the given line is 1.6.

To learn more about slope, use the link given below:

https://brainly.com/question/3605446

#SPJ2

When 2^7 is written as a repeated multiplication product, the only factor is

Answers

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Find the length of AB

Answers

Answer:

D

Step-by-step explanation:

calculate AB using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = A (4, 2 ) and (x₂, y₂ ) = B (9, 10 )

AB = [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]

     = [tex]\sqrt{5^2+8^2}[/tex]

     = [tex]\sqrt{25+64}[/tex]

     = [tex]\sqrt{89}[/tex]

     ≈ 9.4 units ( to 1 dec. place )

Answer:

[tex]D:\:about\:9.4\:units[/tex]

Step-by-step explanation:

[tex]d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2 }[/tex]

[tex]AB =[/tex] [tex]\sqrt{(9-4)^2+(10-2)^2}[/tex]

[tex]=\sqrt{5^2+8^2}[/tex]

[tex]=\sqrt{25+64}[/tex]

[tex]=\sqrt{89}[/tex]

[tex]9.4\:\:units\:[/tex]

A store has 32 boxes of candles. Each box contains 24 candles. What is the total number of candles?

Answers

Answer:

The total amount of candles is 768.

Step-by-step explanation:

Why? If there are 32 boxes of candles and 24 candles are in each box you would have to multiply 32x24 which is = to 768 candles in each box.

If the rise is 6 and the run is 2, what is the slope?
4
3
8
-3

Answers

Answer:

3

Step-by-step explanation:

[tex]\frac{rise}{run} =\frac{6}{2}=3[/tex]

Hope this helps!

The slope is [tex]\frac{rise}{run} =\frac{6}{2} =3[/tex]

Thus the slope is 3.

What is 10,274 - 100,000

Answers

Answer:

_89,726

Step-by-step explanation:

This would be a negative answer in less you mean 100,000 - 10,274.

This would be negative because 10,000 per say can't subtract 100,000 in less it goes on the negative side.

But if you meant 100,0000-10,274 it is the same answer just with no nefative sign

Hope this heos have a great day

In the data set (0,-1);(-2,4);(-4,-8);(-1,5);(2,1);(3,-2);(-1,2)},which point is a possible outlier?

Answers

If it’s possible just graph:
Here you can see (-4,-8) is far away from the other points.

If you want a mathematical explanation basically look for trends in the data, and the rest of the points trend negative linear.

If you want to use formulas or equations there’s a very complicated one online, that is very difficult to understand.

Find the measures of the numbered angles in rhombus ABCD .
look for all four measures numbered in the photo

Answers

Answer:

<1=54, <2=36, <3=90, <4=36

Step-by-step explanation:

in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.

Write the phrase as an expression. Then evaluate the expression when x=2 . 8 more than a number x An expression is . The value of the expression is .

Answers

46
Explanation:
First, we must write the mathematical form for "the product of 8 and a number x":
8
×
x
Then "6 more than this" would be:
(
8
×
x
)
+
6
So, to evaluate for
x
=
5
we substitute
5
for
x
and calculate:
(
8
×
5
)
+
6

40
+
6

46

answer this please
prove triangle are congruent if the two column proof​

Answers

Answer:

Step-by-step explanation:

The percentage of sales tax is 6%. What is the sales tax on a skateboard that costs $98?

Answers

Answer:

$5.88

Step-by-step explanation:

Step 1: Multiply 6 by 98.

6 × 98588

Step 2: Divide 588 by 100.

588 ÷ 1005.88

Therefore, the sales tax price is $5.88.

Answer:

I believe it would be $5.88

If a 16-ounce can of soda has 45 calories per 8 ounces, how many calories are in the can?

Answers

Answer: 90

Step-by-step explanation:

if its 45 for 8 ounces 8+8=16 so just do 8 times 2 to get 16 ounces and do 45 times 2 to get 90.

2x+5y=0
3x-4y=23
solve the following simultaneous equation

Answers

Answer:

[tex]x = 5[/tex], [tex]y = -2[/tex]

Step-by-step explanation:

[tex]2x + 5y = 0[/tex]

[tex]3x - 4y = 23[/tex]

By using substitution:

[tex]2x + 5y = 0[/tex]

[tex]2x = -5y[/tex]

[tex]x = -\frac{5}{2}y[/tex]

[tex]3x - 4y = 23[/tex]

[tex]3 (-\frac{5}{2} y) - 4y = 23[/tex]

[tex]-\frac{23}{2} y = 23[/tex]

[tex]y = -2[/tex]

[tex]x = -\frac{5}{2} y[/tex]

[tex]x = -\frac{5}{2} (-2)[/tex]

[tex]x = 5[/tex]

HELP ASAP EASY THING IM JUST DUM There are 8 tenths and 24 hundredths. After regrouping hundredths into tenths, there are ? tenths and ? hundredths. After regrouping tenths into wholes, there are
? whole, ? tenths, and ? hundredths.

Answers

Answer: 8 wholes 2 tenths 4 hundredths.

Explanation: First it tells us there are 8 tenths and 24 hundredths. Then we regrouped hundredths into tenths which would give us 2 since if we had 20 we’d be in the thousandths. Don’t forget also that it said to change the tenths into wholes which we did with 8.

Answer:

8 wholes 2 tenths 4 hundredths

Step-by-step explanation:

We just take apart the numbers and give them to other numbers. Hope it helped!

If a total of 1,176 dancers at a beyonce music video audition are divided into 6 equal sized teams how many dancers are on each team

Answers

Answer:

196

Step-by-step explanation:

1176/ 6

= 196 dances are on each team

Solve 3x - 6 > 8 using inverse operations

Answers

Answer:

x > 14/3

Step-by-step explanation:

3x > 8 + 6

3x > 14

x > 14/3

Answer:

x > 14/3

Step-by-step explanation:

[tex]3x-6 > 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x > \frac{14}{3}\:\\ \:\mathrm{Decimal:}&\:x > 4.66666\dots \\ \:\mathrm{Interval\:Notation:}&\:\left(\frac{14}{3},\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Add\:}6\mathrm{\:to\:both\:sides}[/tex]

[tex]3x-6+6 > 8+6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x > 14[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3} > \frac{14}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x > \frac{14}{3}[/tex]

[RevyBreeze]

a group of friends go scuba diving. they rent a boat for x days and scuba gear for y people, represented by the equation 120x+50y=1000

how much money is spent in total?​

Answers

friends go scuba diving. they rent a boat for x days and scuba gear for y people, represented by the equation 120x+50y=1000

how much money is spent in total

PLEASE HELPPPPPPPPPP!!!! AI HAVE 10 MINUTES LEFTTTTT

Answers

The formula is in a quadratic formula shape: [tex]y = ax^2+bx+c[/tex]

The function is negative since the value 'a' the coefficient of x^2 is negative meaning that the quadratic function is facing downards. If you don't get this explanation, take a look at the diagram I uploaded.

That means the highest point of the graph is its vertex.

But we must find where the vertex is at or the 't' value.

   't' value at which vertex is = [tex]-\frac{b}{2a} =-\frac{16}{2*(-16)} =\frac{1}{2}[/tex]

Now plug this 't' value into h(t) to find the maximum height, and we will get 36 feet.

Hope that helps!

what shape are these​

Answers

Answer:

Those are quadrilaterals

Answer: Square Rhombus

Step-by-step explanation:

It is possible to trisect a line segment using only a straightedge and compass.
True or false?

Answers

Answer:

True if the question means a compass and straight edge.

Step-by-step explanation:

Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Answer:

True

Step-by-step explanation:

Yes, if the question means a compass and straight edge. Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Pls, choose me as brainliest!

50 pointsss tysm nnnnnn

Answers

Answer:

1 batch of sky blue paint:

blue paint = 2 cupswhite paint = 1 gallon

Clare can make 2 batches of sky blue paint by multiplying the components by 2:

2 batches of sky blue paint:

blue paint = 2 × 2 = 4 cupswhite paint = 1 × 2 = 2 gallons

So she will need 4 cups of blue paint and 2 gallons of white paint to make 2 batches of sky blue paint.

To make a mixture that is a darker shade of blue, increase the proportion of blue paint and reduce the proportion of white paint.

To make a mixture that is a lighter shade of blue, increase the proportion of white paint and reduce the proportion of blue paint.

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