Find the value of x for the pair of acute angles that corresponds to the solution of the equation: sin(3x + 2) = cos(7x + 8).

a
x = 10
b
x = 8
c
x = 4
d
x = -1.5

Answers

Answer 1

Answer:

x = 8

Step-by-step explanation:

3x + 2 + 7x + 8 = 90

10x + 10 = 90

10x = 80

x = 8

Check:  3x + 2 = 3(8) + 2 = 26°

7x + 8 = 7(8) + 8 = 56 + 8 = 64°

sin 26 = cos 64


Related Questions

sovle active attachment

Answers

Answer:

p = 5/12

Step-by-step explanation:

-14+6p = -9-6p

Add 6p to each side

-14+6p+6p = -9-6p+6p

-14 +12p = -9

Add 14 to each side

-14+12p = -9 +14

12p =5

Divide by 12

12p/12 = 5/12

p =5/12

answer: p= 5/15 , 0.416…

What would be the area of the figure

Answers

Answer:

1.3 + 1.3 = 2.6

2.6 x 2.2 = 5.72

5.72 divided by 2 = 2.86

2.86 x 2 = 5.72

Could anyone help me find the surface area of this? I got 340 and I don't think it's right.

Answers

Answer: I got 200

Step-by-step explanation: 14+14+5+5=38*2=76 Thats the front and back and then The sides are 6+6+5+5=22*2=44 then the top and bottom are 14 +14+6+6=40*2=80 then add that all up and 44+80+76=200 (Sorry if its a bit confusing to understand)

Write an equation for..

“The child’s tickets cost $4 each and the adult’s ticket cost $8 each. Write an equation that would represent the total cost, T, of purchasing a child’s tickets, c, and an adult’s tickets, a.”

Answers

Answer:

cxa=t cause you are mulltipling to find the total cost

Answer:

Step-by-step explanation:

A child´s ticket costs $4 and adults ticket costs $8. If we want one of each we need to add both numbers together, 4 plus 8 equals 12. The total cost of a child ticket and an adult ticket is $12.

The questions asked to write an equation; the equation would be:

C+A=T  it could also be written as A+C=T,  T=A+C or T=C+A.

Please help me (
9th grade math)

Answers

probably b or d ~~~~~~

Write detailed directions to describe how to algebraically prove if (-1,2) is a point on the line y=3x+5.​

Answers

Answer:

plug in -1 for x and 2 for y

solve equation

Step-by-step explanation:

y= 3x+5

2= 3(-1) + 5

2= -3 + 5

2= 2

You can just answer this question (there is no answer)

Answers

You can make your life as a good day for your response and best you have been doing it well ☺I know you don't

Answer

The answer is A.

Step-by-step explanation:

i have big iq

A number is 7 more than 5 times another number and their difference is 78 Find the numbers

Answers

Answer:

n = 95.75

m = 17.75

Step-by-step explanation:

n = one number

m = another number

System of Equations:

n = 7+5m

n - m = 78

Substitution Method:

7+5m - m = 78

4m + 7 = 78

4m = 71

m = 17.75

n - 17.75 = 78

n = 95.75

Very easy!!! Find length

Answers

Answer:

Option D

Step-by-step explanation:

From the picture attached,

If each block of the graph is a square with the dimension of 1 unit,

Measure of leg 1 = 5 units

Measure of leg 2 = 12 units

By applying Pythagoras theorem in the right triangle given in the picture,

(Hypotenuse)²= (leg 1)² + (leg 2)²

(Hypotenuse)²= (5)² + (12)²

(Hypotenuse)²= 25 + 144

Hypotenuse = √169

Hypotenuse = 13

Therefore, length of the given line will be 13.

Option D is the answer.

Help me plz i need this done soon ty :

Answers

Answer:

A. $47,403.20

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For this, the question is about Simple Interest, so the formula is PRT

p- principal (the amount of money you started with)

r- (rate, also the percentage)

t- time (the amount of time it says, in years or so)

So, they had $45,580

Multiply that by 4%, and 4% is 0.04 so multiply 0.04 x 45,580 = 1,823.20. So, the answer is D

Hope this helps!!

-Ketifa

Each day of the work week, Mr. Harbin uses 34 of a gallon of gas. Which estimate best describes the amount of gas Mr. Harbin would use in a five day work week?

A
less than one gallon

B
between 2 and 3 gallons

C
between 3 and 4 gallons

D
more than 4 gallons

Answers

D. because each day =34 and it is 5days 5×34= 170 so the answer is more than 4 gallons

Saul wants to buy the newest COD video game that just came out which cost $59.99. Sales tax in his state is 7.25%. How much additional money should he bring to cover the sales tax on this game?

Answers

Answer:4.349275 is how much more money she/he will need to bring

Step-by-step explanation:you just needed to find 7.25 percent of 59.99.

Georgia is reading at a rate of 2 pages everything 5 minutes. Which graph below shows the same unite rate?

Answers

Answer:

D

Step-by-step explanation:

Answer:

I can't see it bc it's not close enough but since it's (2,5) D should be right. If it's not right, then sorry ;-;

find the surface area for both​

Answers

1) 16x16= 256ft
16x3x4= 192ft
add them together
256+192= 448ft2 (2 is the little number at the top next to the unit)

2) 3.14x7(2)= 153.86ft2
and i’m not sure on the other part SORRY

f(x)=7x-2 g(x)=x2+1 h(x)=3x (x at the corner of 3 ) a- find gh(2) b- find f-1(x)

Answers

Answer: 37, [tex]\frac{x+2}{7}[/tex]

Step-by-step explanation:

Given

[tex]f(x)=7x-2\\g(x)=x^2+1\\h(x)=3x[/tex]

now,

[tex]g(h(x))=(3x)^2+1\\g(h(x))=9x^2+1[/tex]

for x=2

[tex]g(h(2))=9\cdot (2)^2+1\\g(h(2))=36+1\\g(h(2))=37[/tex]

Inverse of [tex]f(x)[/tex] is given by

[tex]y=7x-2\\x=\dfrac{y+2}{7}\\\\f^{-1}(x)=\dfrac{x+2}{7}[/tex]

Best answer is getting brainiest

Answers

Answer:

17.8

Step-by-step explanation:

We can find this because we know that to make a cube, we need to do [tex]c*c*c[/tex] or [tex]c^3[/tex]. With this, we can simplify our equation (by taking the root of both sides) to [tex]c=\sqrt[3]{5639.752}[/tex] or 17.8.

what is 87x45+90
why katie why HATTERRRRRR

Answers

Answer:

4005

Step-by-step explanation:

brainliest plsss

Answer:

4005 and Ikrrrrrrrrrrrrrrrr

have a good day :)

Step-by-step explanation:

need help with this question.

Answers

I MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGEI MISS THE RAGE

Leah rolls two 6-sided number cubes. What is the probability that she rolls a sum equal to 10?
A. 1/11
B. 10/36, or 5/16
C. 2/36, or 1/18
D. 3/36, or 1/12​

Answers

Answer:

D. 3/36, or 1/12

Step-by-step explanation:

The probability of rolling a sum equal to 10 on two six-sided number cubes is 3/36.

This is because of the 36 total outcomes, only 3 have a sum of 10.

In other words, the probability of rolling a sum equal to 10 is 3 in 36, or 3 out of 36 (3/36).

There are four cards numbered 1 through 4. The number 2 card is chosen randomly and not replaced. Find the probability of choosing a second card that is the number 3.

Answers

Answer:

1/3

Step-by-step explanation:

since number 2 card was not replaced, we have;

probability of picking a second card, 3;

let S be number of sample space

n(S)= 4

n(3)= 1

Pr(3/2)= 1/3

(because since one was already chosen and n, the sample space would reduce)

i will mark you brainiest if you can answer this

Answers

Answer:

Step-by-step explanation:

-10x – 2y = -30
3x + 2y = 9
X=

Answers

Answer: x = 3

Step-by-step explanation:

-10x - 2y = -30

3x + 2y =9

use elimination method...

-2y and 2y = 0

-10x = - 30

3x = 9

add together...

-7x = -21

solve...

x= 3

2.5 ml medication.how many teaspoon should be given

Answers

5ml=1 teaspoon

2.5ml=1/2 teaspoon

so 2.5ml is equal to half teaspoon

Work out :32.4(0.2+2.2)0.8

Answers

Step-by-step explanation:

hope it is helpful to you

Answer:

hope it helps you have a good day

ANSWER PLEASEE. HELPPP

Answers

Answer:

23

Step-by-step explanation:

4

The box plot shows the calorie count in a few meals from a fast food chain. What is the largest number of calories in a meal?

Answers

520 calories explanation= I did the math

Answer:

520 calorie

Step-by-step explanation:

I got it right on IM

What is three different ways to write 5^11 power as the product of two different powers please help.

Answers

Answer:

Three ways to write 5^11

In product:48828125

In powers:

[tex]5^{11}[/tex]

5 to the power of 11

Step-by-step explanation:

I learned this before in class like few years ago

Answer:

5^1 * 5^10

5^2 * 5^9

5^3 * 5^8

5^4 * 5^7

5^5 * 5^6

also

5^11 * a^0 (for any a except 0)

Step-by-step explanation:

We're using the [tex]x^y \cdot x^z = x^{y+z}[/tex] identity.

Christine has a rectangular poster. The poster is 1.5 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer. Be sure to include the correct unit in your answer.

Answers

Answer: 180cm^2

Explanation: First, multiply 1.5 by 1.2 to get the area of the rectangle in METERS, which is 1.8. Since the question is asking for the area in CENTIMETERS, multiply 1.8 by 100 (because 1 meter=100 centimeters) to get 180cm^2.

Hope that helped :)

i need help which one is the following is correct formula to find slope​

Answers

Answer:

a

Step-by-step explanation:

Evaluate the expression for q= -2

-8q - 9 =

Pls help me

Answers

When your evaluation your basically turning negatives into positives so q= | 2 |
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