One of the angles in a right triangle is 20°. A median, an angle bisector, and a height are all drawn from the right angle.
a)Find the angle measure between the median and angle bisector.
b)Find the angle measure between the angle bisector and the height.

Answer:

149 liters of test solution (C)

Step-by-step explanation:

We are given that 25 mL of dye are mixed with 1.5 L of water to create 1 bottle of solution. If we convert 25mL to L, we get that there is 0.025 L of dye in each solution, and the total amount of liquid in a bottle of test solution is 1.525 L (0.025 + 1.5). Since we have 98 bottles like, the total amount of test solution is 98*1.525, which is 149.45 L. Since we have to round to the nearest whole number, the answer is C, or 149 L.

Answer: 3rd, 4th, and 5th are correct.

Step-by-step explanation:

We know that the equation 6(t+2) can be simplified to 6*t+6*2, also 6t+12. This causes any statements saying a variable with a certain value applies to one side also applies to the other.

Answer:

- The value of both expressions when t = 3 is 30

- The value of both expressions when t = 7 is 54

- The expressions are equivalent

Step-by-step explanation:

Plug in each value of t into the expressions:

6t + 12, when t = 3 equals 30

6t + 12, when t = 7 equals 54

6(t + 2), when t = 3 equals 30

6(t + 2), when t = 7 equals 54

We have the same answers for both expressions, meaning they are equivalent.

Answer:

Step-by-step explanation:

The question asks you to dilate the rectangle by a scale factor of 1/3.

KEY TERM:

Dilate by a scale factor: You make a shape bigger or smaller by multiplying by a number.

Here, we are dilating by a scale factor of 1/3. Therefore, to solve the problem, you have to multiply each coordinate by 1/3. Also, we are making the shape smaller because we are multiplying by a fraction.

___

STEP 1: LINE UP ALL THE COORDINATE PAIRS

Point U: (-6,6)

Point R: (-6,-3)

Point T: (9,6)

Point S: (9,-3)

Now the easy part is done.

STEP 2: MULTIPLY BY 1/3

It is very important you know how to do this part because it determines the answer. So when i say "multiply by 1/3" i mean multiply each individual number by 1/3.

I'll explain for point u then do the rest:

Point U was originally: -6,6.

-6 x 1/3= -6/3= -2.

6x1/3= 6/3= 2

The "dilated" point U is: (-2,2). I multiplied each individual coordinate by 1/3, one by one.

Point R was originally: (-6,-3)

-6x1/3= -2

-3x1/3= -3/3= -1

The "dilated" point R is (-2,-1)

Point T was originally: (9,6)

9x1/3= 3

6x1/3= 2

The "dilated" point T is (3,2).

Point S was originally (9,-3).

9x1/3= 3

-3x1/3= -1

The "dilated' point S is (3,-1)

Finally, if you ever get confused about the order of the coordinates, it just stays the same. Like 9,-3 becomes the dilated 9 , dilated -3.

STEP 3: GRAPH THE NEW POINTS

see the screenshot, for reference :)

Answer:

Step-by-step explanation:

you dilate each coordinate by a scale factor of 1/3 , making the shape smaller.

Answer:

1. r = C/2π

2. A = π(C/2π)^2

Step-by-step explanation:

1. C = 2πr^2

C/2π = 2πr/2π

C/2π = r

r = C/2π

2. A = π(C/2π)^2

3. Look at screenshot

Answer:

C^2 = 4πA

Step-by-step explanation:

The first part asks us to isolate r in the equation C = 2πr. We can do that by dividing both sides by C: [tex]r=\frac{C}{2\pi }[/tex]. Note that C stands for the circumference of a circle.

The second step is to plug this value of r into the formula for the area of a circle. We know that the area of a circle is πr^2. We are given π and the exponent, so we just need to plug in [tex]\frac{C}{2\pi }[/tex] and we end up getting [tex]A=\pi (\frac{C}{2\pi })^{2}[/tex]

The third step is to square the term in the parentheses. Whenever we have to square a fraction, all we have to do is square the numerator and the denominator:

[tex](\frac{C}{2\pi })^2=\frac{C^2}{(2\pi )^2}=\frac{C^2}{2^2\pi ^2}[/tex]

In other words,

[tex]A=\pi *\frac{C^2}{2^2\pi ^2}[/tex]

For the fourth step, 2^2 can be evaluated to get 4. We end up getting the following if we do this:

[tex]A=\frac{\pi}{4 } *\frac{C^2}{\pi^2}[/tex]

For the fifth step, we can simplify because the π in the numerator of the first fraction and the π^2 in the denominator of the second fraction cancel (π^2 / π leaves π in the denominator and a 1 in the numerator). If we perform this cancellation, we get the following fraction:

[tex]A=\frac{C^2}{4*\pi}[/tex]

For the final step, we can isolate C^2 by multiply both sides by 4π. Then, we get that C^2 = 4πA

In other words, the circumference of the circle squared is equal to 4π times the area of the circle

Answer:

The answer is B

Step-by-step explanation:

I learned this from my math teacher

Answer:I think Jordan is this a trick question

Step-by-step explanation:

Answer:

A & D

Step-by-step explanation:

If you can fit 3 fish in a 9 gallon tank, that means as a point on a line, that would be at (3, 9).

If you write this as a fraction it's 3/9. Simplifying that, you get 1/3. That means 1 fish needs 3 gallons.  If you make hat a point on the line, it's (1,3).

Another equivalent fraction would be 6/18. If you multiply the numerator and denominator by 2, 3/9 becomes 6/18.

B & C are not equivalent fractions.

Ans: 1.1 miles more

Speed = distance/time

Time is 1/5 of an hour

1/5 of 1hr = 1/5 or 0.2 hrs

Speed = 16 mph

So, we're after distance.

Distance = speed x time

= 16mph x 0.2

= 3.2 miles

Walks for 3/7 hour at 5 miles per hour :

Time & speed given, distance is what we're after.

(3/7 of 1hr is 3/7)

Distance = speed x time

= 5mph x 3/7

= 15/7 miles or 2.14285...miles

So, distance is about 2.1 miles to 1 d.p

Thus, 3.2 - 2.142... (the full ans) = 1.057... miles

Well, he biked 1.06 miles or 1.1 miles (depending on how you want to round it) more than walking.

Hope this helps!

Answer:

52

Step-by-step explanation:

131 ounces/2.5 ounces=52.4

=52 sandwich

Answer:

36. m^7

37. x^3 y

38. 6v^5

Step-by-step explanation:

Divide the exponents by the number in the radical sign,

so, If no number is given then divide exponents by 2 eg. question 38

36. 7√m^49 means m^(49/7) = m^7

37. 3√x^9y^3 means x^(9/3) y^(3/3) = x^3 y

38. √36v^10 means (√36) v^(10/2) = 6v^5 (√36 = 6)

Answer:

0.4763

Step-by-step explanation:

in order to write percents as decimals, you always move the decimal to places to the left.

Answer:

5 pens

Step-by-step explanation:

Currently she has spent:

4(1.19) + 3(1.89) + 4.95 = 15.38

She has this amount left:

$20 - 15.38 = 4.62

So if she wanted to buy as many pens with the $4.62:

4.62/0.78 = 5.84

But you can't buy .84 of a pen, so she can buy 5 pens

Answer: 5 pens

Step-by-step explanation:

FACTS:

andrea has $20.

She bought:

4 paper pads for $1.19 each

3 notebooks for $1.89 each

1 book for $4.95

Will use the remaining money to buy pens that cost 79 cents ($0.79) each.

How many pens can she buy?

Step 1: Find how much she spent on the paper pads

1.19x4= 4.76

Ans= $4.76

Step 2: Find how much she spent on notebooks

3x1.89=$5.67

Ans= $5.67

Step 3: Find how much she has spent so far.

4.76 + 5.67 +4.95= $15.38

Step 4; Find how much she has left.

20-15.38= 4.62

Step 5: Find the number of pens she can buy.

She has $4.62 to buy pens that cost $0.79 (79 cents) each. how many pens can she buy?

To solve this, divide 4.62÷0.79. the decimal makes no difference in what operation you do.

4.62÷0.79= 5.84810126582 which rounds to 5.8 which rounds to 6.

Step 6: Check

REMEMBER:

pens cost $0.79 each

we're assuming she got 6 pens

in order for 6 to be correct, 6x0.79 MUST equal 4.62 or less because that's how money she had to spend on pens.

0.79x6= 4.74. It's wrong. In this case, it's always the number that comes before it, in this case 5.

Even though 5x0.79= 3.95 which is less than 4.62, it must be correct because it makes so much more sense to have some money left than spend more than what you even have. In questions like this, don't always rely on rounding.

Answer= 5 pens

Answer:

Step-by-step explanation:

24.8 to 13.4 as a fraction in lowest terms

we transform into integers

24.8 * 10 = 248

13.4 * 10 = 134

we form the fraction

248/134

It is simplified by the greatest common divisor of 248 and 134, i.e. with 2.

124/67

Answer:

4

Step-by-step explanation:

The degree of a polynomial is the variable with the highest degree, in this case you have two variables and generally, when you have two variables, especially when they're grouped you would add the degrees So for example: [tex]xy^3 + x^2y^3[/tex]. The first term xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3, adding those two becomes 4, the second term has a degree of 5 so the degree of the polynomial is 5. In your example, you provided [tex]3m^2-n^4[/tex], which you can think of as: [tex]3m^2n^0 * n^4m^0[/tex]. Adding the degrees you get 2 and 4 the highest one is 4, so the degree of the polynomial is 4

Answer:

4

Step-by-step explanation:

Here the exponent of n is 4, which is greater than the exponent of m, which is 2.  Thus, the degree of this expression is 4.

Answer:

Step-by-step explanation:

Answer:

C. Increase

Step-by-step explanation:

Since the new value is larger than the original value, there was an increase in the number, so it is called percent of increase.

Answer:

Step-by-step explanation:

Let's say that 50% of people liked ice cream in 2020. In 2022, 65% of people liked ice cream. There is an increase of people liking ice cream. So, it is called a percent increase.

Remember...

A) A percent change can be either an increase OR a decrease.

B) A decrease can only LOWER the percentage

So, it has to be C.

Answer:

https://www.khanacademy.org/math/ap-statistics/sampling-distribution-ap/sampling-distribution-proportion/a/sampling-distribution-sample-proportion-example

Step-by-step explanation:

Click there and it will tell you

Answer:

Given:

To find:

The formula used to calculate percentage is:(value/total value)*100%.

Step-by-step explanation:

Step 1 of 2

After the 20%  sale, the coat costs

100*0.8 = 80 dollars.

Then 5 dollars are taken off for a cost of

80-5 = 75

Step 2 of 2

Now adding on the sales tax,

the final amount is 75(0.8) = 81 dollars

Answer:

21.6 km

Step-by-step explanation:

distance swam on day 2: 6.48+0.720 = 7.2 km

distance swam on day 3: 7.2*3 = 21.6 km

Answer:

Step-by-step explanation:

Good luck ✅.

Answer:

B i believe

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hello!

The length and width are given.

We know the formula for calculating perimeter :

[tex]\fbox {Perimeter = 2(Length + Width)}[/tex]

Let's solve!

∴ The perimeter is 82k + 148.

[tex]\boldsymbol{\dfrac{3}{4}x+0.25(x-6)+28.4 }[/tex]

Use the distributive property to multiply 0.25 by x−6.

[tex]\boldsymbol{\dfrac{3}{4}x+0.25x-1.5+28.4 }[/tex]

combine [tex]\bf{\frac{3}{4}x }[/tex] and 0.25x to get x.

[tex]\boldsymbol{x-1.5+28.4}[/tex]

Add −1.5 and 28.4 to get 26.9.

[tex]\boxed{\boldsymbol{x+26.9}} \ \ \to \ \ \bf{Answer}[/tex]

Answer: 77/3 or 25 2/3

Step-by-step explanation:

1. Convert mixed numbers into improper fractions:

3 1/2 = 3*2+1/2 = 7/2

2 2/3 = 2*3+2/3 = 8/3

1 1/2 = 1*2+1 = 3/2

2. Calculate within parentheses

Multiply and divide from left to right

Add and subtract from left to right

Answer:

- 53 2/3

Step-by-step explanation:

3 1/2 + (-7) x (2 2/3 + 1 1/2)

= 7/2 - 7 (8/3 + 11/2)

= 7/2 -7 (49/6)

= 7/2 - 343/6

= - 161/3

= - 53 2/3

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

The sum of a number and its negative self is always 0 .

Hope this helped and brainliest?

Answer: 0

Step-by-step explanation:

It asks for the sum of the points plotted. The given points are on 2, and -2.

The sum is the total you get when adding 2 or more numbers.

-2+2= 0

Hope this helps!

Answer:

Please see attached image

Step-by-step explanation:

Answer:

Step-by-step explanation:I would make them make all of them into a decimal or fraction that's how I do it like this       5/2   .45     27.5%

make them into a decimal this time because it looks easy so 5/2 into a decimal will be 2.5. and then 0.45   27.5% into a decimal will be will be 0.275

boom order it         2.5,  0.45,  0.275