MATHEMATICS HIGH SCHOOL

PLEASE ANSWER ASAP. WHOEVER ANSWERS CORRECTLY WILL GET BRAINLIEST! This is Part B, Part A is already posted!

Answers

Answer 1

Answer:

Answer:

b) Create an equation to solve for x (type your equation below):

(4x + 8)° = 6x°

c) Find the value of x:

x = 4°

Explanation for (b):

(4x + 8)° and 6x° are vertically opposite angles, so they are equal.

Explanation for (c):

We got the equation from (b) as:

(4x + 8)° = 6x°

or, 6x - 4x = 8°

or, 2x = 8°

or, x = 4°

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Mukul has $3.75 in quarters, dimes and nickels in his pocket. he has five more dimes than quarters and nine more nickels than quarters. how many of each coin are in his pocket?

Answers

Answer:

There are 7 coins of quarters , 12 coins of dimes and 16 coins of nickels .

Step-by-step explanation:

Mukul has $3.75

1 dollar = 100 cents

3.75 dollar = 375 cents

Let he has x coins of quarters

Since we are given that he has five more dimes than quarters.

So, Dimes = x+5

Since we are given that he has nine more nickels than quarters .

So, nickels = x+9

Now 1 quarter = 25 cents

So, x quarter = 25 x cents

1 dime = 10 cents

So, (x+5) dimes = 10(x+5) cents

1 nickel = 5 cents

So, (x+9) nickels = 5(x+9) cents.

Since he had 375 cents in total .

$\Rightarrow 25 x+ 10(x+5) +5(x+9)=375$

$\Rightarrow 25 x+ 10x+50 +5x+45=375$

$\Rightarrow 40 x+95=375$

$\Rightarrow 40 x=375-95$

$\Rightarrow 40 x=280$

$\Rightarrow x=(280)/(40)$

$\Rightarrow x=7$

Thus there are 7 coins of quarters

Coins of dimes = x+5=7+5=12

Coins of nickels = x+9=7+9 =16

Hence there are 7 coins of quarters , 12 coins of dimes and 16 coins of nickels .

Their should be 18 dimes and 8 quarters

(Sint+cost)^2= ?

Can any one help me with this question

Answers

The answer to your question is: Yes.

Now, would you like to actually see the solution ?

First, multiply the quantity out:

(sin + cos)² = sin²(t) + cos²(t) + 2sin(t)cos(t)

You need to know:
==> sin²(any angle) + cos²(the same angle) = 1
==> 2sin(any angle)cos(the same angle) = sin(double the angle)

So the equation becomes:

(sin + cos)² = 1 + sin(2t)

$(sin\ t+cos\ t)^2=sin^2t+cos^2t+2\cdot sin\ t\cdot cos\ t=1+sin\ 2t$

Find the fifth term of the arithmetic sequence in which t1 = 3 and tn = tn-1 + 4.

A) 5
B) 7
C) 19
D) 23

Answers

We have given $t_(1)=3$ and $t_(n) = t_(n-1) + 4$ . Fifth term is $t_(5)= t_(4)+4$ . It means we need to find $t_(4)$ and in order to find the latter, we have to find $t_(4)= t_(3)+4$ , $t_(3)= t_(2)+4$ and $t_(2)= t_(1)+4$ . Since we know the value of $t_(1)$ , beginning from the last equation we can find the value of $t_(5)$ . We can write that $t_(2)= t_(1)+4=3+4=7$ , $t_(3)= t_(2)+4=7+4=11$ and $t_(4)= t_(3)+4=11+4=15$ . Since $t_(5)= t_(4)+4$ , then $t_(5)= 15+4=19$

.16 with the 6 repeating to a fraction

Answers

The answer is

1/6

1/6

If the sum of the measures of ∠1 and ∠2 is 180°, what is the sum of the measures of ∠3 and ∠4?A) 360°
B) 120°
C) 90°
D) 180°

Answers

in any 4-sided shape, the angles add to 360. if angles 1 & 2 are 180, 3 & 4 are also 180. the answer is D

Final answer:

The sum of the measures of ∠3 and ∠4 is 180°.

Explanation:

To find the sum of the measures of ∠3 and ∠4, we need to know the relationship between these angles and ∠1 and ∠2. If the sum of the measures of ∠1 and ∠2 is 180°, this means that these two angles are supplementary. In other words, they add up to 180°. Since angles ∠3 and ∠4 are corresponding angles with ∠1 and ∠2, they will also be supplementary to each other. Therefore, the sum of the measures of ∠3 and ∠4 is 180° as well.

Learn more about Angle Sum here:

brainly.com/question/33328884

#SPJ2

The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteria after 9 hours? (0,1) (1,2) (2,4) (3,8)Answers:
128
256
512
1024

Answers

As the colony doubles every hour, the population $p$ is modeled by:

$p = 2^t$

Where $t$ is the time in hours.

We can see this because:

$2^0 = 1 \n 2^1 = 2 \n 2^2 = 4$

Notice that the x coordinate of the graph corresponds to the time, and the y coordinate corresponds to the population.

Thus at $t=9$

$p=2^9 \n \n p = \boxed{512}$

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