3 siblings reported how long they worked out at the gym. Write the names of the siblings from shortest to longest time.

Step-by-step explanation:

Total =180°

Top vertex=39°

2base angles=180-39

2base angles=141

base anglez=141/2

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

The slope intercept form is:

Where

m is slope

b is y-intercept (y-axis cutting point)

Let's find the slope (m) using the 2 points given. The formula is:

Let's put the points (0,2) and (2,-4) and find the slope:

The y intercept, y axis cutting point, is directly taken from the graph as "2".

Thus, now we can write:

Answer:

237 = m + 137

this is the equation showing the relationship

Answer:

0.2

Step-by-step explanation:

as 0.2 is greater than 1

Answer:

0.2

Step-by-step explanation:

The diagram = 0.1

0.1 < 0.2

Answer:

232

Step-by-step explanation:

232, because each has 100 squares so if you add the 2 filled squares you will get 200. Then if you count the last one only 32 is filled, when u add it it gives you 232

The statement that sin(60)cos(30)+cos(60)sin(30)=sin(90) is true and is proven to be equal to 1 on both sides

By the use of angle addition formula for sine to prove this identity:

sin(A + B) = sin (A)cos (B) + cos (A) sin (B)

Let A = 60 and B = 30. Then the equation:

sin (60 + 30) = sin (90) = 1

sin (60) cos (30) + cos (60) sin (30) = sin (60 + 30) = sin (90) = 1

Therefore, it is proven that sin(60)cos(30) + cos(60)sin(30) = sin(90).

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Complete question:

How is sin(60)cos(30)+cos(60)sin(30)=sin(90)?

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer: 5

Step-by-step explanation: it is a supplementary angle so it has to add up to 80

Answer:

5

Step-by-step explanation:

line = 180

therefore 15x + 5 + 100= 180

15x + 105 = 180

15x = 180 - 105

15x = 75

x = 75/15

x = 5

HOPE THIS WILL HELP!

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

slope m = - \(\frac{1}{3}\)

Step-by-step explanation:

calculate the slope m of the line using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, 2) ← 2 points on the line

m = \(\frac{2-3}{3-0}\) = \(\frac{-1}{3}\) = - \(\frac{1}{3}\)

• Parallel lines have equal slopes

then parallel line will have a slope of - \(\frac{1}{3}\)

Answer:

Step-by-step explanation:

It's in the same order, from broker 1 down to broker 5. Straight up

Answer:
Broker E
|
V
Broker C
|
V
Broker D
|
V
Broker B
|
V
Broker A

Answer:

672

Step-by-step explanation:

Answer:

I believe it's 4 I hope this helps

EXPLANATION

Assuming that we have two accounts paying 14% and 7% respectively

Assuming that x represents the amount invested in one account earning 14%

Then, 12,000 - x = y amount invested in the other account.

Changing percent to decimal 9%---> 0.09 and 7% --> 0.07

(1) y= 12,000 - x

The second relationship would be as follows:

(2) 0.14x + 0.07y = 1,435

*We are assuming that the sum of both amount of interest earned should be equal to $1,435.

Plugging in (1) in (2):

Applying the distributive property:

Subtracting -840 to both sides:

Subtracting numbers:

Dividing both sides by 0.07:

Simplifying:

Now, the amount invested in the other account would be y=12,000 - 8,500 = 3,500

In conclusion, the amount invested in each account is as follows:

Should invest $8,500 at 14% and $3,500 at 7%

1. 3

29-9=19

13+9=22

22-19=3

I don't know number 2, sorry.

Answer:

m = -10

Step-by-step explanation:

0.61m - 1.51m = 9

-0.90m = 9

mutiply both sides by -1.111111111111, twelve 1's after the decimal point

also to find what number u need to multiply to make -0.9m to m, divide 0.9 by 1 and that equals 1.111111111111 so yea a lot of ones haha

m = -10

Answer:

0.61m−1.51m=9

-0.90m = 9

m = 9/-0.90

m = -10

Answer:

28

Explanation:

area of the cloth on the table: 6*4= 24

area of the extra cloth: 4*1=4

4+24=28

Answer:

400000

Step-by-step explanation:

Answer:

12.2%

Step-by-step explanation:

The coordinates of the image of the triangle ABC, when translated 3 units left and 5 units up are A' = (-3, 9), B' = (-6, 3) and C = (0, 3)

The complete question is added as an attachment

From the figure, the coordinates of the triangle are given as:

A = (0, 4)

B = (-3, -2)

C = (3, -2)

The translation is given as:

A translation by 3 units left and 5 units up

This is represented by

(x, y) = (x - 3, y + 5)

So, we have:

A' = (-3, 9)

B' = (-6, 3)

C = (0, 3)

Hence, the coordinates of the image of the triangle ABC, when translated 3 units left and 5 units up are A' = (-3, 9), B' = (-6, 3) and C = (0, 3)

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The statement "The whole number has one digit if and only if the whole number is less than 10" is true for converse statement. Then the correct option is C.

A inverse statement is one that is derived by opposing the supposition and result of a relative clause.

Let p: The whole number has one digit.

Let q: The whole number is less than 10.

The statement "The whole number has one digit if and only if the whole number is less than 10" is true for converse statement.

If p → q, then, q → p

Then the correct option is C.

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Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

\(\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}\) =  \(\frac{11880}{116,280}\) = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer:

4(sin^2(x) -2sin^2(x/2))

Step-by-step explanation:

Matter of factorising

Answer:

It is 4(cos(x)-cos^2(x))

Step-by-step explanation:

I used an app on chegg and found that this is the only answer that is equivalent

Answer:

68

Step-by-step explanation:

To get the sample size of the population, we will use the formula for calculating the standard error of the mean. This is expressed as;

SE = zσ/√n

z is the z score at 90% confidence

σ is the standard deviation

n is the sample size

SE is the mean weight loss

Given

z = 1.645

σ = 10

SE = 2

Required

sample size n

Substitute into the given equation;

SE = zσ/√n

2 = (1.645)(10)/√n

2 = 16.45/√n

√n = 16.45/2

√n = 8.225

n = (8.225)²

n = 67.650625

Hence the total sample should be about 68

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer: set up a proportion 7000 /3 yrs an 8.15% over 100 then cross multiply Step-by-step explanation:

The arrangements of the fractions 5/8 31/6 3/8 16/16 1/4 1/8 3/4 7/8 on the number line follows ascending order. The diagram is attached.

5/8 = 0.625

31/6 = 5.17

3/8 = 0.375

16/16 = 1

1/4 = 0.25

1/8 = 0.125

3/4 = 0.75

7/8 = 0.875

In ascending order (from lowest to highest)

1/8, 1/4, 3/8, 5/8, 3/4, 7/8, 16/16, 31/6

Therefore, the fractions are arranges in the order 1/8, 1/4, 3/8, 5/8, 3/4, 7/8, 16/16, 31/6.

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3.375

hope it helps...!!