Find two acute angles that satisfy the equation sin(2x + 8) = cos(x + 28). Check that your answers make sense.
The smaller angle is
°.
The larger angle is

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of an object.

Given the vertex matrix of quadrilateral ABCD as:

[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]

Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).

Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.

Hence, the vertex matrix of quadrilateral A'B'C'D' is:

[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]

Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).

The correct option is figure A

Answer: you can buy 6 of them because 39.78 divided by 6.63 equals 6.

Step-by-step explanation:

Answer:

6 packs of batteries

hope it helps

Answer:

40%

Step-by-step explanation:

just take a number, for example, 1, and do the math.

1 - 30% = 0.7.

1 - 50% = 0.5.

0.7 / 0.5 = 1.4.

thus the answer is 40%.

Answer:

1 pound for $3.75

if you divide $15.63 by 4, you would get 3.9075, which is more than $3.75

Step-by-step explanation:

Answer:

232127

Step-by-step explanation:

i divided 51,300 by 22.1 then multiplyed by 100

Answer:

y=1/2x-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

A = C^2 / 4 x pi

so if the circumfernce was 10 you would square it to make it 100 and then you would do 4 x pi to get 12.57 ( rounded).

you would then just divide 100 by 12.57 = 7.96 ( rounded)

hope it helped

Answer:

y = 1/2x + 1

Step-by-step explanation:

Answer:

y=1/2x+1

Step-by-step explanation:

y=1/2x+b

2=(1/2)(2)+b

2=1+b

1=b

y=1/2x+1

Given:

The pair of expressions in the options.

To find:

The pair that shows equivalent expressions.

Solution:

We have,

[tex]2\left(\dfrac{2}{5}x+2\right)[/tex]

By using distributive property, we get

[tex]2\left(\dfrac{2}{5}x+2\right)=2\left(\dfrac{2}{5}x\right)+2(2)[/tex]

[tex]2\left(\dfrac{2}{5}x+2\right)=\dfrac{4}{5}x+4[/tex]

So, option A is incorrect and option B is correct.

We have,

[tex]2\left(\dfrac{2}{5}x+4\right)[/tex]

By using distributive property, we get

[tex]2\left(\dfrac{2}{5}x+4\right)=2\left(\dfrac{2}{5}x\right)+2(4)[/tex]

[tex]2\left(\dfrac{2}{5}x+4\right)=\dfrac{4}{5}x+8[/tex]

So, options C and D both are incorrect.

Therefore, the correct option is B.

The correct pair of equivalents expressions is B.

To solve the question, one must have knowledge about the multiplication of expressions.

When you have an expression being multiplied by a value, you multiply all the terms of the expression by that value, so that:

                                     [tex]a (x + y) = ax + ay[/tex]

Thus, performing this multiplication for all alternatives we have:

a) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]

b) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4[/tex]

c) [tex]2 (\frac{2}{5}x + 4) = \frac{4}{5}x + 8[/tex]

d) [tex]2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 8[/tex]

So, the only expression that correctly corresponds to the answer is that of alternative B.

Learn more about expressions in: brainly.com/question/439355

Answer:

8

Step-by-step explanation:

you solve this by reversing the excercise.

17 + 7 = 24

24/3 = 8

Answer:

8

Step-by-step explanation:

just reverse everything like, 17 +7 then 24/ 3=8

Answer:

x= 0.0505 or 101/2000

Explanation:

Using Inverse Operations Do The Equation

-1+1=0

100+1=101

2000×=101

2000x/2000=x

101/2000

-

Answer: x=101/2000

Answer:

SP = $33.81

Step-by-step explanation:

Given that,

The wholesale price of a shoe = $24.50

A shoe store marks up its merchandise by 38%.

We need to find the selling price of a pair of shoes. It can be given by :

SP = wholesale price + 38% of wholesale price

[tex]SP=24.5+38\%\times 24.5\\\\=24.5+\dfrac{38}{100}\times 24.5\\\\=\$33.81[/tex]

So, the selling price of a pair of shoes is $33.81.

Answer:

[tex]T^\circ = -12^\circ[/tex]

Step-by-step explanation:

Given

Represent the temperature in Tucson with T and that in Minneapolis with M.

From the first statement, we have:

[tex]T^\circ = M^\circ - 24^\circ[/tex]

From the second, we have:

[tex]T^\circ = -M^\circ[/tex] or [tex]M^\circ = -T^\circ[/tex] --- i.e. both are opposite numbers

Required

Find T

To calculate T, substitute -T for M in [tex]T^\circ = M^\circ - 24^\circ[/tex]

This gives:

[tex]T^\circ = -T^\circ - 24^\circ[/tex]

Collect Like Terms

[tex]T^\circ +T^\circ =- 24^\circ[/tex]

[tex]2T^\circ =- 24^\circ[/tex]

Make T the subject

[tex]T^\circ =- 24^\circ/2[/tex]

[tex]T^\circ = -12^\circ[/tex]

Hence, the temperature in Tucson is [tex]-12^\circ[/tex]

Answer:

A number sentence is a mathematical sentence made up of numbers and signs. So for example 15 + 7.

They can use any of the mathematical operations so addition, subtraction, multiplication and division

Number sentences can be true or false. Example, 5 + 7 = 13

good luck, i hope this helps :)

Answer:

∠MNQ = 31

Step-by-step explanation:

Set ∠MNQ and ∠NQP equal to each other.

∠MNQ = ∠NQP

5c + 6 = 7c - 4

10 = 2c

c = 5

Then substitute back into ∠MNQ.

∠MNQ = 5c + 6

∠MNQ = 5(5) + 6

∠MNQ = 25 + 6

∠MNQ = 31

Answer: x = 40

Step-by-step explanation:

3x ÷ 8 = 15

Multiply 8 in both sides

3x = 120

Divide both sides by 3

x = 40

Answer:

58

Step-by-step explanation:

95 - 55 = 45

2600 / 45 = 57.77778.....

Because you can't sell 0.777778 of a bike you instead sell 58

Answer:

672 cre o rectifica porfa

Answer:

108 y 3

Step-by-step explanation:

si multiplicamos 108×3 nos da

=324

y 108 y 3 son divisibles o multiplicados por 3

Answer:

116 cm squared

Step-by-step explanation:

The area of the triangle is 28 cm squared.

The area of the parallelogram is 88 cm squared.

The total area of the composite figure would be 116 cm squared.

Answer:

triangle:28

parallelogram:88

total area:116

Step-by-step explanation:

8×7=56

triangle->56÷2

=

[tex] {28}^{2} [/tex]

parallelogram->11cm×8cm

=

[tex] {88}^{2} [/tex]

total area->28cm²+88cm²=116cm²

Answer:

y=-2/3x+-2

Step-by-step explanation:

y=MX+b

b=-2

m=-2/3

Answer:

A) 5x² - 6x + 1

Step-by-step explanation:

In this question, you would have to simplify the expression.

Solve:

(3x² - 2) + (2x² - 6x + 3)

Combine like terms.

3x² - 2 + 2x² - 6x + 3)

5x² - 2 - 6x + 3

5x² - 6x + 1

Since there's no more like terms, we have completely simplified the expression.

Therefore, your answer would be A) 5x² - 6x + 1

Answer:

B. Oxygen

Hope you got your answer! ☺️

The reactant not needed for producing food in a green plant is

Oxygen.

Option B is the correct answer.

Reactants are the elements in a process of production that helps in the process of production.

We have,

The process of producing food in a green plant are:

Plants take carbon dioxide, water, and sunlight from their surroundings to make their own food.

This process is called photosynthesis.

Oxygen is the waste product released during this process.

Thus,

Oxygen is not a reactant needed for producing food in a green plant.

Learn more about reactants in plants here:

https://brainly.com/question/16419464

#SPJ6

Answer:

none

cz there's no no. that repeats itself

Answer:

5

Step-by-step explanation:

50  by divded 5 is 10 90 divided by 5 is 18 and 110 divded  by 5 is 22 hope this helps!

Answer:

e

Step-by-step explanation: